PLEASE HELP ME ASAP!!!! (I included the picture below with the question!!!)
I WILL GIVE BRAINLIEST! PLEASE SOLVE FAST!

PLEASE HELP ME ASAP!!!! (I Included The Picture Below With The Question!!!)I WILL GIVE BRAINLIEST! PLEASE

Answers

Answer 1

Answer:

[tex]x=30^o[/tex]

Step-by-step explanation:

step 1

Find the measure of angle KNL

we know that

[tex]m\angle KNL+m\angle LNM+m\angle ONM=180^o[/tex]----> by straight angle

we have

[tex]m\angle LNM=45^o[/tex] ---> given problem

[tex]m\angle ONM=105^o[/tex] ---> given problem

substitute the given values

[tex]m\angle KNL+45^o+105^o=180^o[/tex]

[tex]m\angle KNL+150^o=180^o[/tex]

[tex]m\angle KNL=180^o-150^o[/tex]

[tex]m\angle KNL=30^o[/tex]

step 2

Find the value of x

In the right triangle KNL

we know that

[tex]m\angle KNL+m\angle NKL=90^o[/tex] ----> by complementary angles

we have

[tex]m\angle KNL=30^o[/tex]

[tex]m\angle NKL=2x[/tex]

substitute

[tex]30^o+2x=90^o[/tex]

[tex]2x=90^o-30^o[/tex]

[tex]2x=60^o[/tex]

[tex]x=30^o[/tex]


Related Questions

The average 12 to 17 year or spends 645 minutes per month on a personal computer this is 732 fewer minutes per month than the average 18 to 24 year old spends how many minutes per month does the average 18 to 24 year old spend on a personal computer

Answers

Answer:

1377 minutes

Step-by-step explanation:

645 + 732 = 1377 min

7: Maribel blinks her eyes 105 times in 5 minutes. If b represents the number of times Maribel blinks in m minutes, what is a linear equation that represents this situation? Assume that Maribel blinks her eyes at a constant rate

Answers

Answer:

Step-by-step explanation:

105/5= 21

21m=b

feel free to ask any question

[tex]\[b = 21m\][/tex] This equation indicates that the number of blinks [tex]\( b \)[/tex] is equal to [tex]21[/tex]times the number of minutes [tex]\( m \)[/tex]

To find a linear equation that represents the number of times Maribel blinks in a given number of minutes, we can use the information provided and assume a constant rate of blinking.

Given:

Maribel blinks [tex]105[/tex] times in [tex]5[/tex] minutes.

To find the rate of blinking per minute, we divide the total number of blinks by the total number of minutes:

[tex]\[\text{Rate of blinking} = \frac{105 \text{ blinks}}{5 \text{ minutes}} = 21 \text{ blinks per minute}\][/tex]

Let [tex]\( b \)[/tex] represent the number of blinks, and let [tex]\( m \)[/tex] represent the number of minutes. Since Maribel blinks at a constant rate, the relationship between [tex]\( b \)[/tex] and [tex]\( m \)[/tex] is linear and can be described by the equation:

[tex]\[b = 21m\][/tex]

Write an equation for the nth term of the arithmetic sequence. Then find a30.

11, 10, 9, 8, ...

Answers

Answer:

Therefore the equation dor nth term is,

[tex]a_{n} =a_{1} + (n-1)\times d[/tex]   and

[tex]a_{30} =-18[/tex]

Step-by-step explanation:

Given:

Arithmetic Sequence as

11 , 10 , 9 , 8 , ..........

∴   First term     = a₁ = 11

   Second term = a₂ = 10

∴ Common Difference = d =  a₂ - a₁ = 10 - 11 = -1

∴ d = -1

To Find:

[tex]a_{n} = ?\\and\\a_{30} = ?[/tex]

Solution:

An equation for the nth term of the arithmetic sequence is given by

[tex]a_{n} =a_{1} + (n-1)\times d[/tex]

Substitute n= 30 for [tex]a_{30}[/tex] and a₁ and d we get

[tex]a_{30} =11 + (30-1)\times -1\\\\a_{30} =11+29\times -1\\\\a_{30} =11-29\\\\a_{30} =-18\\\\\therefore a_{30} =-18\ \textrm{as required}[/tex]

Therefore,

[tex]a_{30} =-18[/tex]

Final answer:

The nth term of the given arithmetic sequence can be represented by the equation an = 12 - n. The 30th term of this sequence is -18.

Explanation:

In order to write an equation for the nth term of an arithmetic sequence, we need to know the first term (a1) and the common difference (d). In the given arithmetic sequence 11, 10, 9, 8, ..., the first term a1 is 11 and the common difference d is -1 (because each term reduces by 1).

The general formula for the nth term (an) of an arithmetic sequence is: an = a1 + (n-1) * d. Substituting the values of a1 and d in the equation, we get: an = 11 + (n-1) * -1 = 12 - n.

To find a30, substitute n = 30 in the equation, we get a30 = 12 - 30 = -18.

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A circle has a mass of 3 grams and a square has a mass of 2 grams. Which is the mass of a triangle?

Answers

Answer:

C

Step-by-step explanation:

The diagram shows the system in equilibrium. Left part consists of 3 circles, 2 triangles and 6 squares. Right part consists of 2 circles, 5 triangles and 3 squares.

If this system is in equilibrium, then the mass of the left part is the same as the mass of the right part.

The mass of the left part:

[tex]3\cdot 3+2\cdot \triangle +6\cdot 2=2\triangle+9+12=2\triangle+21\ grams[/tex]

The mass of the right part:

[tex]2\cdot 3+5\cdot \triangle+3\cdot 2=5\triangle +6+6=5\triangle +12\ grams[/tex]

Hence,

[tex]5\triangle +12=2\triangle +21\\ \\5\triangle -2\triangle =21-12\\ \\3\triangle =9\\ \\\triangle =3\ grams[/tex]

The mass of the triangle is 3 grams.

Given information:

A circle has a mass of 3 grams and a square has a mass of 2 grams.

From the given diagram of a mass balance, it can be concluded that:

The left side of the balance contains 6 squares, 2 triangles, and 3 circles.The right side of the balance contains 3 squares, 5 triangles, and 2 circles.

Now, the left and right sides are balanced. So, the mass of left side will be equal to the mass of right side.

Let x be the mass of a triangle shape.

So, the value of x can be calculated as,

[tex]\texttt{mass of left side = mass of right side} \\6\times 2+2x+3\times 3=3\times 2+5x+2\times 3\\12+9+2x=6+6+5x\\3x=9\\x=3[/tex]

Therefore, the mass of the triangle is 3 grams.

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Which inequality is represented by this graph?

A.
[tex]x > - 53[/tex]

B.
[tex]x \leqslant - 53[/tex]

C.
[tex]x < - 53[/tex]

D.
[tex]x \geqslant - 53[/tex]

Answers

Answer:

The Option D (x ≥ - 53) is correct for the given graph.

Step-by-step explanation:

As shown in the graph blue part is from - 53 to -50 including -53.

therefore x ≥ - 53.

High grade steel consists of 85% iron and 15% magnese. Low grade steel consists of 67% iron and 33% mag ese. NASA orders 500 tons of steel and specifies that it must be in the proportion 80% iron and 20% steel. How many tons of high grade and low grade steel must you melt together to create steel that matches NASA’s requirements?

Answers

Answer:

[tex]361\dfrac{1}{9}[/tex] tons of high steel and [tex]138\dfrac{8}{9}[/tex] tons of low steel

Step-by-step explanation:

Let x be the number of tons of high grade steel and y be the number of tons ow low grade steel needed.

In x tons of high grade steel there are

[tex]0.85x[/tex] tons of iron

[tex]0.15x[/tex] tons of magnese

In y tons of low grade steel there are

[tex]0.67y[/tex] tons of iron

[tex]0.33y[/tex] tons of magnese

NASA orders 500 tons of steel, so

[tex]x+y=500[/tex]

and specifies that it must be in the proportion 80% iron and 20% magnese, so

[tex]0.85x+0.67y=500\cdot 0.8\\ \\0.85x+0.67y=400[/tex]

From the first equation,

[tex]x=500-y[/tex]

Substitute it into the second equation:

[tex]0.85(500-y)+0.67y=400\\ \\425-0.85y+0.67y=400\\ \\-0.18y=-25\\ \\y=\dfrac{2,500}{18}=138\dfrac{8}{9}\ tons\\ \\x=361\dfrac{1}{9}\ tons[/tex]

Helppppppp! Please
Comment the right answer

Answers

Answer:

The fourth option

Step-by-step explanation:

48 is the minimum height, 42 is his current height, and h is the height he must grow. 42 +h is at least 48 so that rules out the first and third options. The second option would be around twice the required  height, so it must be the fourth option.

Jenny has $25 and earns $10 for each lawn that she mows.

Jenny wants to buy a concert ticket that costs $115.

Enter the minimum number of lawns Jenny needs to mow

to be able to buy the concert ticket.

Answers

Answer:

9 lawns

Step-by-step explanation:

If she already has $25 of the $115 dollars needed for the ticket, she only needs to make $90 more. If she makes $10 each lawn, she would need to mow 9 lawns in order to get the $90 dollars.

Find ( f o g) (x) when f (x) = x^2+6x+5 and g(x)=1/x+1

Answers

Final answer:

The composite function (f o g)(x) is found by substituting g(x) into the f(x) expression. Upon simplification, (f o g)(x) when f (x) = x²+6x+5 and g(x) = 1/(x+1) is: 1/(x² + 2x + 1) + 6/(x+1) + 5.

Explanation:

To find the composite function (f o g)(x) when f (x) = x²+6x+5 and g(x) = 1/(x+1), we substitute g(x) into f(x). That is, wherever you see 'x' in f(x), replace it with what g(x) is equal to.

Start with f(g(x)) = f(1/(x+1)). In f(x), replace x with 1/(x+1), which gives us: (1/(x+1))² + 6*(1/(x+1)) + 5. This is the composite function (f o g)(x).

To simplify further: the first term '(1/(x+1))²' becomes '1/(x² + 2x + 1)', the second term '6*(1/(x+1))' becomes '6/(x+1)', and the third term is just '+5'. So the composite function (f o g)(x) simplifies to: 1/(x² + 2x + 1) + 6/(x+1) + 5.

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How do I do 2/13×2/16

Answers

Answer:

1/52

Step-by-step explanation:

4/208=1/52

1/52
Multiply the numerators and denominators. 2x2=4 and 13x16 is 208.
Now you have the fraction 4/208. You can simplify this fraction by dividing the numerator and denominator by 4. 4/4=1 and 208/4 is 52. Your answer is 1/52

5-(-8) rewrite as addition and then evaluate

Answers

Answer: 13

Step-by-step explanation: In this problem we're asked to rewrite as addition and then evaluate.

It's important to understand that minus a negative means the same thing as plus a positive so we can change 5 - (-8) to 5 + (+8).

Now we can simply add to get a sum of 13.

Therefore, 5 - (-8) or 5 + (+8) = 13

Answer: 13

Step-by-step explanation: We originally have the equation 5-(-8).

Flip everything around.

5 + (+8)

5 + (+8) = 13.

When it gives the keywords "rewrite as addition" you should know that you need the rewrite the equation an opposite way of what it was written.

In this case it was 5-(-8).

Flip the signs, 5+(+8).

Add 5 to 8 and get 13.

The school board administered a reading test to all eighth-grade students at High Achievers Charter School and determined that 10%, percent of them were reading below grade level.
Based on this data, which of the following conclusions are valid?

Choose 1 answer:
A 10% percent of students in this sample are reading below grade level, but we cannot conclude anything about the eighth-grade students at HACS.

B 10% percent of all students at HACS are reading below grade level.

C 10% percent of all eighth-grade students at HACS are reading below grade level.

Answers

Final answer:

The correct conclusion based on the data is that 10% of all eighth-grade students at the High Achievers Charter School are reading below grade level.

Explanation:

Based on the information provided in the question, the most accurate conclusion we can make is that 10% of all eighth-grade students at High Achievers Charter School (HACS), specifically, are reading below grade level. This is because the sample data was only collected from eighth-grade students at HACS. Therefore,

answer C

is correct. That being said, these results only apply to this specific school and grade level and cannot be generalized for all students at HACS or all other schools.

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Find the distance between these points.
A (5,8), B(-3, 4)
AB =

Answers

Answer:

8.9 thats rounded if it wasnt rounded it'll be 8.944

Step-by-step explanation

AB = 14.42

If you plot these points on a graph, they will not be in a straight line, so we'll need to do a little more math here. Draw a diagonal line connecting both points, and use this line as the hypotenuse, so you can draw a right triangle. Count the lengths of each side (except the long, diagonal line called the hypotenuse). Use the equation a^2 + b^2 = c^2 to find the length of side c.

Since side a is 8 units long, square it to get 64.

And side b is 12 units long, and if we square it we get 144.

64 + 144 = 208.

One last step. Now we need to find the square root of 208.

It is 14.42.

So, the distance between points a and b is 14.42 units.

There is a carnival. Children are $1.50 and adults are $4. On this particular day there 2200 in attendance and the total amount of money raised was $5050. how many children and adults attended on that day.

Answers

Answer:

On that day 1500 children and 700 adults attended.

Step-by-step explanation:

Given:

There is a carnival. Children are $1.50 and adults are $4.

The total amount of money raised was $5050.

On this particular day there 2200 in attendance.

Now, to find the children and adults attended on that day.

Let the children attended be [tex]x[/tex].

And the adults attended be [tex]y[/tex].

The total number in attendance:

[tex]x+y=2200[/tex]

⇒ [tex]x=2200-y[/tex]........( 1 ).

Now, the total amount of money raised:

[tex]1.50x+4y=5050[/tex]

Putting the equation ( 1 ) in the place of [tex]x[/tex] we get:

⇒ [tex]1.50(2200-y)+4y=5050[/tex]

⇒ [tex]3300-1.50y+4y=5050[/tex]

⇒ [tex]3300+2.50y=5050[/tex]  

Subtracting both sides by 3300 we get:

⇒ [tex]2.50y=1750[/tex]

Dividing both sides by 2.50 we get:

⇒ [tex]y=700.[/tex]

The adults attended = 700.

Now, putting the value of [tex]y[/tex] in equation ( 1 ) we get:

[tex]x=2200-700[/tex]

⇒ [tex]x=1500.[/tex]

The children attended = 1500.

Therefore, on that day 1500 children and 700 adults attended.

What is the simplified form of the expression 7[63 ÷ (52 – 22) – 1]? (1 point)
10
42
14
350

Answers

Final answer:

To simplify the expression 7[63 ÷ (52 – 22) – 1], perform the operations inside the parentheses first, followed by division, subtraction, and multiplication in that order. The simplified form of the expression is 14.

Explanation:

To find the simplified form of the expression 7[63 ÷ (52 – 22) – 1], we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction).

Within the parentheses, we first simplify the exponent, so we calculate 52 – 22 which is 25 – 4.

Perform the subtraction inside the parentheses: 25 – 4 equals 21.

Next, we divide 63 by 21, which equals 3.

Subtract 1 from 3 to get 2.

Finally, multiply 7 by 2 to get the simplified expression, which is 14.

Thus, the simplified form of the expression is 14.

One woman is able to buy 5 hat and 4 pairs of mittens for $30 another woman purchase 5 pairs ovens and 2 hats for 19 what are the prices

Answers

Answer:

The cost of 1 hat = $2.24

The coat of 1 pair of oven mitten = $2.06

Step-by-step explanation:

Let us assume the cost of 1 hat = $ x

The cost of 1 pair of oven mitten = $y

Case 1:   5 hat and 4 pairs of mittens for $30

Cost of 5 hats  =5 x ( cost of 1 hat) = 5 x    = $ (5 x)

Cost of 4 mittens  =4 x ( cost of 1 mittens) = 4 (y)    = $ (4 y)

Total cost of 5 hats + 4 mittens  = 5x  + 4 y

5 x + 4 y = $30 ....... (1)

Case 2:   2 hat and 5 pairs of mittens for $30

Cost of 2 hats  =2 x ( cost of 1 hat) = 2 x    = $ (2 x)

Cost of 5 mittens  =5 x ( cost of 1 mittens) = 5 (y)    = $ (5 y)

Total cost of 2 hats + 5 mittens  = 2 x  + 5 y

⇒2 x + 5 y = $19 ....... (2)

Now, solving (1) and (2) , we get:

5 x + 4 y = $30     (multiply by -2)

2 x + 5 y = $19      (multiply by 5)

Add both equations, we get:

-10 x  - 8 y + 10 x + 25 y = -60 + 95

or, 17 y =  35

or, y =  35/17 =  2.05

or, y  = $2.06

Now, 5 x +  4y = 30

⇒ 5 x + 4 (2.06) = 30

or, 5 x = 30 - 8.24 =  21.76

so, x =  21.76/5 = 2.24

or, x =  $2.24

Hence, the cost of 1 hat = $2.24

And the coat of 1 pair of oven mitten = $2.06

The fuel for a chain saw is a mix of oil and gasoline.

Answers

Yes- it should be a 50:1 gas oil ratio.

Answer:

it should be a 50:1 gas oil ratio.

Step-by-step explanation:

what is 2 divide by 36

Answers

Answer:

0.0555555556

Step-by-step explanation:

Answer:

1/18 or 0.055...

Step-by-step explanation:

2/36=1/18

Dave buys a basketball for $20 plus an 8% tax. Mel bought a football for $28 plus an 8% tax. Enter the difference that Dave and Mel paid, including tax. Round your answer to the nearest cent.

Answers

Answer:

Dave:

$20 + 8% of 20 = $21.6

Dave payed a total of $21.6 for the basketball.

Mel

$28 + 8% of 28 = $30.2

Mel payed a total of $30.2 for the football.

$30.2 - $21.6 = $8.6

The difference is $8.6.

todd takes 3 tennis lessons and 4 swimming lessons a week whcih eqaution can be used to to find out how many lessons todd takes in 8 weeks

Answers

Answer:

8(3+4)

Step-by-step explanation:

simple use pemdas

parenthesis 3+4= 7

multiply 8x7=56 :)

mridul jogs around a rectangular park of 100m by 80m at the rate of 9km per hour. how much time will he take in jogging 6 rounds​

Answers

Final answer:

Mridul will take 14.4 minutes to jog around a rectangular park for a total of 6 rounds, considering the total jogging distance of 2.16 kilometers at a pace of 9 kilometers per hour.

Explanation:

To calculate the time Mridul will take to jog around a rectangular park for 6 rounds, we need to compute the total distance he will cover and then use his speed to find the time. The perimeter of the rectangle is the sum of all its sides. Since the park is 100m by 80m, the perimeter will be (2 × 100m) + (2 × 80m), which equals 360 meters. For 6 rounds, the total distance will be 6 × 360 meters = 2160 meters or 2.16 kilometers.

Next, we use the formula for time:

Time = Distance / Speed

Given Mridul's jogging rate is 9 kilometers per hour, we can convert this speed into meters per second to match the distance units by multiplying by 1000 and dividing by 3600 (the number of seconds in an hour), which gives us 2.5 meters per second. Finally, to find the time taken:

Time = 2160 meters / (2.5 meters/second)

This calculation results in 864 seconds, which when converted to minutes is 14.4 minutes. Therefore, Mridul will take 14.4 minutes to jog 6 rounds around the park.

solve q=r/2 (s+t) for t

Answers

Is this one of the options? T= 2q/r - s

Write an equation for the line that
passes through the point (5, -4) and
is parallel to the line y = 2x + 3.

Answers

Answer:

y = 2x - 14

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x + 3 ← is in slope- intercept form

with slope m = 2

Parallel lines have equal slopes, thus

y = 2x + c ← is the partial equation

To fid c substitute (5, - 4) into the partial equation

- 4 = 10 + c ⇒ c = - 4 - 10 = - 14

y = 2x - 14 ← equation of parallel line

Determine if the ordered pair (−1, −5) is a solution to the inequality y is less than or equal to negative three fourths times x minus 1. No, because (−1, −5) is above the line Yes, because (−1, −5) is below the line No, because (−1, −5) is on the line Yes, because (−1, −5) is on the line

Answers

Answer:

Yes, because (−1, −5) is below the line.

Step-by-step explanation:

The given inequality is [tex]y \leq  -\frac{3}{4} x - 1[/tex] .......... (1)

Now, rearranging this equality relation we get,

4y = - 3x - 4

⇒ 3x + 4y = - 4

[tex]\frac{x}{- \frac{4}{3} } + \frac{y}{- 1} = 1[/tex] .......... (2)

This equation is in intercept form and the line represented by this equation passes through the x-intercept [tex](- \frac{4}{3}, 0)[/tex] and y-intercept (0,-1).

Now, it is clear that (0,0) point is above the equation.

But (0,0) point does not satisfy the inequality equation (1).

Hence, the solution of the inequality equation (1) is below and including line (2).

Now, point (-1,-5) is below the line (2) and hence, it is a solution of the inequality (1) as it is below the line. (Answer)

Answer:

the answer is [yes, because (-1, -5) is below the solid line].

Step-by-step explanation:

I took the test and got it right

Four people at Pia’s Pottery Shop each make 29 mugs and 18 pottery bowls. Three people at Jason’a Craft Shop each make the same number of mugs and twice as many bowls. How many objects did the seven people make in all?

Answers

Answer:

58+54=112

Step-by-step explanation:

The solution is 112 objects

The total number of objects the 7 people from Pia's Pottery shop and Jason's Craft shop is A = 112 objects

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total number of objects be = A

Let the number of mugs in Pia's shop be = m₁

Let the number of bowls in Pia's shop be = b₁

Now , the value of m₁ = 29 mugs

The value of b₁ = 18 bowls

And ,

Let the number of mugs in Jason's shop be = m₂

Let the number of bowls in Jason's shop be = b₂

m₁ = m₂ and b₂ = 2 x b₁

Now , the value of m₂ = 29 mugs

The value of b₂ = 36 bowls

So , the total number of objects A = number of mugs in Pia's shop + number of bowls in Pia's shop + number of mugs in Jason's shop + number of bowls in Jason's shop

Substituting the values in the equation , we get

The total number of objects A = 29 + 18 + 29 + 36

The total number of objects A = 112 objects

Therefore , the value of A is 112 objects

Hence , the total number of objects is 112 objects

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Divide - 2x3 – 4x2 + 3x + 2 by x – 3.

Answers

To divide the given polynomial by a binomial, use polynomial long division, resulting in a quotient of -2x² - 10x - 30 and a remainder of 92.

Dividing a Polynomial by a Binomial

To divide the polynomial -2x³ – 4x² + 3x + 2 by the binomial x - 3, we will use polynomial long division, which is a process similar to long division with numbers. It involves subtracting multiples of the divisor from the dividend to get a quotient and possibly a remainder.

First, divide the first term of the dividend, -2x³, by the first term of the divisor, x, to get -2x².

Multiply the divisor x - 3 by the first term of the quotient, -2x², to get -2x³ + 6x².

Subtract this result from the dividend to obtain the new dividend -4x2 (adjusting the original terms), which becomes -10x².

Repeat this process with the remaining terms of the new dividend.

Continue until all terms of the dividend have been divided.

This process results in the quotient -2x² - 10x - 30 and a remainder of 92. The complete division statement is -2x³ – 4x² + 3x + 2 = (x - 3)(-2x² - 10x - 30) + 92.

How many times does 6 go into 24?

Answers

Answer:

4

Step-by-step explanation:

HELP ASAP NEED THIS ANSWER


A cruise ship can cover 18 nautical miles in 342 minutes. How many nautical miles will it travel in 152 minutes?

A. 8

B. 10

C. 12

D.6

Answers

Answer:

A.

The cruise ship will travel 8 nautical miles in 152 minutes.

Step-by-step explanation:

Distance covered by the cruise ship in 342 minutes = 18 nautical miles

Distance covered in 1 minute = [tex]\frac{18}{342}[/tex] nautical miles

                                                = [tex]\frac{1}{19}[/tex] nautical miles

Distance covered in 152 minutes = [tex]\frac{1}{19}\times152[/tex] nautical miles

                                                       = 8 nautical miles

So, distance covered by cruise ship in 152 minutes is 8 nautical miles.

∴ The correct answer is option A.

Multiply.

24.41

x 2.2
explain how u did it

________

Answers

Answer:

53.702

Step-by-step explanation:

You split the two numbers into two.

24, 0.41, 2, and 0,2

Then multiply each one by each other

2 x 24

2 x 0.41

0.2 x 24

0.2 x 24

24 x 2

24 x 0.2

0.41 x 2

then add all of them together and you get your answer

Karen has $1.70 in coins. Karen has 8 coins, all of which are quarters or dimes.
1. Write an equation to represent the amount of coins Karen has.
2.Write an equation to represent the value of the coins Karen has.

☆ The equations has to be in the systems of linear equations and Inequalities.

So can someone help me with these 3 parts?

Answers

x+y=8 and 25x+10y=170 are the linear equations.

x+y≤8 and 25x+10y≤170 are the inequalities.

Step-by-step explanation:

Given,

Worth of coins = $1.70 = 1.70*100 = 170 cents

Number of coins = 8

1 quarter = 25 cents

1 dime = 10 cents

Let,

x represent the number of quarters

y represent the number of dimes

1. Write an equation to represent the amount of coins Karen has.

x+y = 8

2.Write an equation to represent the value of the coins Karen has.

25x+10y=170

x+y=8 and 25x+10y=170 are the linear equations.

For inequalities, the amount cannot increase number of coins and worth but it can be less, therefore,

x+y≤8

25x+10y≤170

x+y≤8 and 25x+10y≤170 are the inequalities.

Keywords: linear equations, addition

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