What’s the answer show your WORK Plz

Answer:

Number of permutations = 5040

Step-by-step explanation:

We are given the word 'INNOVATIVE', that has total 10 letters.

Now, we are asked to form words using exactly 4 letters at a time i.e. out of 10 letters we are using 4.

Therefore, the number of permutations that can be formed using 4 letters are = P(10,4)

i.e. [tex]10_{P_{4} }[/tex]

= [tex]\frac{10!}{(10-4)!}[/tex]

= [tex]\frac{10!}{6!}[/tex]

= [tex]\frac{10*9*8*7*6!}{6!}[/tex]

= 10*9*8*7

= 5040

Answer: 5040

Step-by-step explanation:

npr = n! / (n - r)!

numbers of letters given = 10

permutation that can be formed using 4 letters at a time= 10 P ₄

=10! / (10 - 4)! = 10! / 6!

= 10 ×9 ×8×7 ×6! /6! ( the 6! will cancel out)

= 10×9 ×8×7=5040

Therefore, the number of permutations are 5040

Answer:

B 7

Step-by-step explanation:

Since the triangles are similar by AAA

We can use ratios to find the length x (which is PR)

5                 15

-------- = ------------

x               21

Using cross products

5 * 21 = 15 *x

Divide each side by 15

5/15 * 21 = 15x/15

1/3 * 21 =x

7 =x

Answer:

here is how i did it.

Answer:-8.1111111

Step-by-step explanation:

At the same rate, it would take Marisa 6/4 of an hour to paint the entire room. This is a ratio problem, specifically dealing with rates and proportional relationships.

Since Marisa painted 1/2 of her room in 3/4 of an hour, to paint the entire room would take double that time. When you double 3/4, you get 6/4. Therefore, at the same rate, Marisa would need 6/4 of an hour to paint the entire room.

This problem is a basic ratio problem related to rates and proportional relationships, common topics in middle school math. The rate in this case is painting speed, half a room per 3/4 of an hour. Thus, when we double the room space to be painted (from half a room to a full room) we should also double the required time.

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Final answer:

The volume of a cylinder with a diameter of 6m and a height of 5m is calculated using the formula V = πr²h. With a radius of 3m, the volume is 141.39m³.

Explanation:

To find the volume of a cylinder with a diameter of 6m and a height of 5m, we first need to calculate the radius of the cylinder. The radius is half of the diameter, so in this case, the radius (r) is 3m. The formula for the volume (V) of a cylinder is V = πr²h, where π (pi) is approximately 3.142, r is the radius, and h is the height of the cylinder.

Using this formula, we get:

V = π × (3m)² × 5m

V = 3.142 × 9m² × 5m

V = 3.142 × 45m³

V = 141.39m³

Therefore, the volume of the cylinder is 141.39 cubic meters.

Answer:

6

Step-by-step explanation:

the rate of change is given by the slope of the line

the equation of a line in slope- intercept form is

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

f(x) = 6x - 5 is in this form

with slope m = 6 ← rate of change

Answer:

6

Step-by-step explanation:

We are given the function f(x) = 6x-5 for which we have to determine its rate of change.

The rate of change is given by the slope of a line.

We know that the standard form of an equation of a line is given by:

y = mx + c

where m is the slope.

If we observe the given function, we can notice that is in the form y = mx + c where the slope (m) is 6.

Therefore, the rate of change for the function f(x) = 6x - 5 is 6.

Answer:

B

Step-by-step explanation:

All circles are similar and therefore proportional. C/C' is the ratio of Circle C to Circle C'. Since it is 0.75, this means that C is 75% of C'. We know that radius of C will also be 75% of the radiuc of C'. We can the radius because we know the diameter of Circle C is 6. The radius is therefore 3. 3 is 75% of 4. So r/r' or 3/4=0.75. r/ must be 4.

Answer: B) 4

Step-by-step explanation:

Got this right on USA test prep

Answer:

14/6

Step-by-step explanation:

To find the slope, we can put it into slope intercept form. So 6y=14x+5. So y=14/6+5/6.

To find the fraction of candies that are either grape or lemon flavored, we add the fractions representing each flavor: 2/5 for grape and 3/10 for lemon. After finding a common denominator, we get 4/10 + 3/10, yielding 7/10 of the candies being either grape or lemon-flavored.

To find the fraction of candies that are either grape-flavored or lemon-flavored, we need to add the fractions that represent each flavor. We are told that 2/5 of the candies are grape-flavored and 3/10 are lemon-flavored.

First, we need a common denominator to add these two fractions. The least common denominator for 5 and 10 is 10. We can convert 2/5 to a fraction with a denominator of 10 by multiplying both the numerator and denominator by 2. This gives us 4/10. Now we can add:

4/10 (grape flavored)

+ 3/10 (lemon flavored)

= 7/10 (either grape or lemon flavored)

Hence, the fraction of the candies that are either grape-flavored or lemon-flavored is 7/10.

Answer:

1. The angle ladder makes with the wall is 11.54°

2. The height above the ground at which the upper end of the ladder touches the wall is 9.80 m

Step-by-step explanation:

We see that the side opposite of ∠A and the hypotenuse (side opposite of 90 degree angle) of the triangle are known. The ratio that relates these two sides are SINE.

We know,

[tex]sin(angle)=\frac{opposite}{hypotenuse}[/tex]

Thus we can write:

[tex]sin(A)=\frac{2}{10}\\sin(A)=\frac{1}{5}[/tex]

To find ∠A, we take the inverse sine of [tex]\frac{1}{5}[/tex]. Our answer is:

[tex]sin(A)=\frac{1}{5}\\A=sin^{-1}(\frac{1}{5})\\A=11.54[/tex]

Thus the angle ladder makes with the wall is 11.54°

Second part of the question asks for the height above the ground at which the upper end of the ladder touches the wall, this is the length of AC.

Given the angle we found, we see that the side AC is adjacent of the angle and we also know the hypotenuse. The ratio that relates these 2 sides is COSINE.

We know,

[tex]cos(angle)=\frac{adjacent}{hypotenuse}[/tex]

Thus, we can write:

[tex]cos(11.54)=\frac{AC}{10}[/tex]

Cross multiplying and solving for AC, gives us:

[tex]cos(11.54)=\frac{AC}{10}\\AC=10*cos(11.54)\\A=9.80[/tex]

Thus, the height above the ground at which the upper end of the ladder touches the wall is 9.80 m

Answer:

3/4

Step-by-step explanation:

Answer:

-3/4 I think hope this helps

Answer:

Step-by-step explanation:

On Monday: $2 on lunch.

On Tuesday: $1 on a snack.

On Wednesday: her siter gave her $3.

Now, before we graph the integers, first you need to think about those number and their meaning. If the number represents debt or expenses, then it must be a negative number. But, if the number represents money received, then it must be a positive number.

So, we have the following integer: -2, -1, 3.

If we graph these integers, it would be like the images attached shows.

Answer:

20 lbs

Step-by-step explanation:

Answer:

Option B is correct

36 pizzas were topped with vegetables

Step-by-step explanation:

Let x be the number.

As per the statement:

At a pizzeria, the ratio of pizzas topped with meat to pizzas topped with vegetables was 4:3 on Saturday.

The ratio of pizza topped with meat to pizzas topped with vegetables = 4 : 3

then;

the number of pizza topped with meat = 4x

and

the number pizza topped with vegetables  = 3x

It is also given that the pizzeria made a total of 84 pizzas that day.

[tex]\text{Total Pizzas} = \text{Number of pizzas topped with meat}+ \text{Number of pizzas topped with vegetables}[/tex]

Substitute the given values we get;

[tex]84 = 4x+3x[/tex]

Combine like terms;

[tex]84= 7x[/tex]

Divide both sides by 7 we get;

12 = x

The pizza were topped with vegetables = 3x = 3(12) = 36

therefore, 36 pizzas were topped with vegetables

Answer:

The correct answer is option B.

Step-by-step explanation:

The ratio of pizzas topped with meat to pizzas topped with vegetables was 4:3 on Saturday.

Let the pizza's topped with meat be 4x

Let the pizza's topped with vegetable be 3x

Total pizzeria made a Saturday = 84

4x + 3x = 84

7x = 84

x = [tex]\frac{84}{7}=12[/tex]

Pizza's topped with meat = 4x = 4 × 12 = 48

Pizza's topped with vegetable = 3x = 3 × 12 = 36

12 pizzas were topped with vegetables.

Answer:

The correct answer is option (C).

Coconut oil freezes at a higher temperature than cottonseed oil because 24.8 > -48.1

Step-by-step explanation:

We have been given the freezing temperatures of cottonseed oil and coconut oil. The freezing temperature of cottonseed oil is -48.1 degree celsius and the same for coconut oil is 24.8 degree celsius.

We are supposed to compare the two freezing temperatures. We know that 24.8 is higher than -48.1, therefore, we can conclude that freezing temperature of coconut oil is higher than the freezing temperature of cottonseed oil because 24.8 is more than -48.1. Thus, correct answer is option (C).

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Three

3a

Two lines that have slopes where 1 is the negative of the other will intersect some where once and only once. I've included a graph for this.

3b

If you multiply the top line by 2 you get the bottom line. They are the same line. There's an infinite number of solutions.

3C

They will intersect once. On your paper just extend both lines. They intersect.

3D

If they are parallel, they never intersect. No solution.

Four

what's at the tail end of four. y = 1/2x - ???? I'll give it a value. You'll have to change the value to get it to work properly.

A

m: y = 1/2x - 4   The 4 is mine. Change it to what it says.

n: y =  1/2x - 8    Any value except - 4 will work.

B

m: y = 1/2x - 4

n : -2y = -x + 8           They are really the same equation. n = -2*m

C

m: y = 1/2 x - 4

n: y = x + 3

I'm going to let you work your way through 5. There should be enough in 3 and 4 to get five.

Five

A: False

B: This question is not true, but you probably don't have enough math to say why. Bend your right arm so it is parallel to your belt. Above that "line" bend your left arm so it is over the right arm in just one place. The left arm should be pointing towards the wall of your room. Those two are not parallel nor do they have  any meeting place.

C: True

D: False

1) All three are right A.K.A 4

4) The answer is also 4).

Answer:

m = 1

Step-by-step explanation:

distribute and simplify the left side of the equation

m + 8m - 12 = - 3

9m - 12 = - 3 ( add 12 to both sides )

9m = 9 ( divide both sides by 9 )

m = 1

Answer:

He needs to save $100 a month.

Step-by-step explanation:

Since Travis needs $300 in 3 months, you divide 300 by 3.

300/3 = 100

Therefore, Travis needs to save $100 a month.

Travis needs to save more than $100 each month for three months to afford an airplane ticket that costs more than $300.

To determine how much Travis needs to save each month to pay for his airplane ticket, which costs more than $300, we can set up an equation. Let's assume the minimum amount he needs for the ticket is $300. If Travis is saving for three months, he needs to divide the total cost of the ticket by the number of months he has to save.

Let the amount he needs to save each month be represented by a. Therefore, we have the following equation: 3a = 300, which simplifies to a = 300/3. Solving this, we find that a = $100.

However, since the ticket costs more than $300, he will need to save slightly more than $100 each month.

Step-by-step explanation:

Given inequality is [tex]y<\frac{3}{4}x+2[/tex].

To graph that inequality, first we need to graph the line [tex]y=\frac{3}{4}x+2[/tex]. Then shade it for the inequality symbol <.

Graphing line can be done using two points.

plug x=0 into [tex]y=\frac{3}{4}x+2[/tex], we get:

[tex]y=\frac{3}{4}*0+2=2[/tex]

Hence first point is (0,2)

Similarly plug any random number for x say x=4, we get:

[tex]y=\frac{3}{4}*4+2=5[/tex]

Hence first point is (4,5).

Now we just need to graph both points and join them by a dotted line. because we have < not <=.

Next part is to test for shading.

Which can be done using any test point which is not on the given line. Say (0,0)

plug x=0,y=0 into [tex]y<\frac{3}{4}x+2[/tex].

[tex]0<\frac{3}{4}*0+2[/tex]

[tex]0<0+2[/tex]

0<2

which is true, hence shading will be in direction of test point (0,0).

Hence final answer will be the choice which looks like the graph attached below;

The correct answer is 2. A dashed line with the shaded area below the line.

To graph y < 3/4 x + 2, first find the y-intercept, which is the point where the line crosses the y-axis.

This happens when x is 0, so the y-intercept is 2.

The slope of the line is 3/4, so for every 3 units you move up, you must also move 4 units to the right.

Start at the y-intercept and move 3 units up.

Then, move 4 units to the right.

Repeat this process until you have graphed a few points.

The line should continue in this direction forever.

The shaded area below the line represents the values of y that are less than 3/4 x + 2.

Here are the possible answers:

The correct answer is 2. A dashed line with the shaded area below the line.

The dashed line indicates that the inequality is not strict, meaning that the line is allowed to touch the shaded area.

The shaded area below the line indicates that the values of y that are less than 3/4 x + 2 are represented by the points below the line.

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Answer:

2x + 7 = 3x - 5

Step-by-step explanation:

Since triangle RTS is isosceles, RT is congruent to RS. So you can set up the equation 2x + 7 = 3x - 5 to find x. Then you can input the value of x into 2x +7 or 3x - 5 to find the measure of the congruent sides.

Answer: ? = x + 1

Step-by-step explanation:

The perimeter of the garden is x + 3x + 1 + x + ?

The perimeter of the garden is also (6x + 2)

Therfore:

x + 3x + 1 + x + ? = 6x + 2

Collect like terms:

5x + 1 + ? = 6x + 2

Subtract 5x from both sides:

1 + ? = x + 2

Subtract 1 from both sides:

? = x + 1

You cannot find ? as a number, only in terms of x.

Answer:

2.5 miles per hour

Step-by-step explanation:

ok, so we already know how long she walked in 1/2 hour and we need to find out how many miles in one full hour. So, i multiplied 1 1/4 times two to make up the one full hour and I got 2.5 miles. So the rate is 2.5 mph.

Speed of walking is 2.5 miles per hour

Given that;

Time taken to walk = 1/2 hour = 0.5 hour

Distance cover = 1¹/₄ = 5 / 4 = 1.25 miles

Find:

Speed of walking

Computation:

Speed of walking = Distance cover / Time taken

Speed of walking = 1.25 / 0.5

Speed of walking = 2.5 miles per hour

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Answer:

280 calories

Step-by-step explanation:

200 / 50 = 4

1 gram = 4 calories

70 * 4 = 280

Therefore, there are 280 calories in 70 grams of cheese.

Answer:

13 bowls

Step-by-step explanation:

To figure out how many bowls of nuts she can make, we divide how many cups of nuts she has by how many cups of nuts in a bowl

3 3/8 ÷ 1/4

Lets change 3 3/8 into an improper fraction

3 3/8 = (8*3 +3)/8 = 27/8

27/8 ÷ 1/4

Copy dot flip

27 /8 * 4/1

27/2

2 goes into 27 13 times with 1 left over

13 1/2

She will have 13 full bowls of nuts

Answer:

B.

Step-by-step explanation:

The original function in 8 wide, the new function is 4 wide. That means the original function was shrunk by half (4/8)

(x,y)--> (1/2x, 1/2y) represents the dilation.

Dilation defines changing the size of an object without changing its shape.

This problem can be solved by following steps

= 1/2*8

= 4 units.

Y-axis of grey figure = 1/2*Y-axis of Black figure

= 1/2*8

= 4 units

Therefore,

(x,y)--> (1/2x,1/2y) represents the dilation.

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Answer: 100/1220*792= 64.9 have cell phones.

Step-by-step explanation:

Answer:

The percentage of students with cell phone is 64.92%

Step-by-step explanation:

Given

Sample Size = 1,220

Number of student with cell phones = 792

Required

Percentage of students with cell phone

To calculate the percentage of students with cell phone, we take a ratio of the number of students with cell phone to the sample size.

Mathematically, this is represented as

[tex]Percentage = \frac{Students-with-cell-phone}{Sample Size}[/tex]

By Substitution,

[tex]Percentage = \frac{792}{1220}[/tex]

[tex]Percentage = 0.64918032786[/tex]

[tex]Percentage = 64.918032786[/tex]%

[tex]Percentage = 64.92[/tex]% Approximated to nearest hundredth

Hence, the percentage of students with cell phone is 64.92%