Find the HCF of 220 and 88.

Answer:

x = 1 and y = -3

Step-by-step explanation:

Subtract eqn 1 from eqn 2

11y = - 33

y = -3

Substituting y into eqn 2...

10x - 2(-3) = 16

10x +6 = 16

10x = 10

x = 1

The solution to the system of equations 10x + 9y = -17 and 10x - 2y = 16 is x = 1 and y = -3. This solution was found using the elimination method, which involved manipulating the equations to eliminate one variable and then solving for the other.

The question is related to the system of linear equations. A set of linear equations with the same variables is known as a system of equations. Here we have two equations; 10x + 9y = -17 and 10x - 2y = 16. The solution to this system of equations is the ordered pair (x, y) that satisfies both equations. We can find this by using the method of substitution or elimination.

Here's the solution using the elimination method:

So, the solution for the system of equations is x = 1 and y = -3.

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Answer:

12

Step-by-step explanation:

sale price is (100-20)% of 15 = 80/100 * 15 = 12

Answer:

It is the second one

Step-by-step explanation:

Hope it helps and rate my answer

;);)

Answer:

between 150 and 200

Step-by-step explanation:

corect on edge

Answer:

160

Step-by-step explanation:

one of the triangle faces:

4 × 6 = 24cm^2

theres 4 triangle faces so 24 × 4 = 96 cm^2

then u have to add on the square face which is 8×8 =64cm^2

total:

64 + 96 = 160cm^2

Answer:

A your welcome

Step-by-step explanation:

Answer

B volume and temp

Step-by-step explanation:

The cup is telling you the volume in the cup and the temp stick thing is telling you temp. Hope this helped

Answer:

B

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

Answer: You need to use the formula to solve this equation

step-by-step explanation:

Area of a triangle=           A = 1/2bh

Area of a rectangle=        A = lw

Surface area of triangular prism=       SA = bh + (s1 + s2 + s3)H

Use that formula to solve the problem.

I hope this helps

Answer:

.

Step-by-step explanation:

3x - y = 17 .......A

10 × [x/5 + y/2] = 10 × 0

2x + 5y = 0 .......B

......A× 5 both 2 sides of equation

15x - 5y = 85 .....C

......B + ........C

2x + 15x = 0 + 85

17x = 85

x = 85/17

x = 5

put x value in ........A or .......B or ......C

you will receive y = -2

Answer:

15 years ago

Step-by-step explanation:

So it was when Sam was x=3 years old and Bill was 3x=9 years old that Bill was 3 times as old as Sam. And since their ages are now 18 and 24, that was 15 years ago.

Answer:

The answer is 15 years

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

(7x² - 4x) unit²

Step-by-step explanation:

Area of rectangle = width × height

Width = 7x - 4

Height = x

Area = x ( 7x - 4)

Area = (7x² - 4x) unit²

Answer:

i think it's 36, but i'm not sure

Step-by-step explanation:

12 is 24 percent of 50, and 24 percent of 150 is 36

A ratio shows us the number of times a number contains another number. The number of people who prefer roast beef sandwiches out of 150 people is 36.

A ratio shows us the number of times a number contains another number.

Given that in a sample of 50 people, 12 were the people who preferred roast beef sandwiches. Therefore, the ratio of people who prefer roast beef sandwiches to the total number of people surveyed will be,

[tex]\dfrac{\text{People who prefer roast beef sandwich}}{\text{People who were surveyed}} = \dfrac{12}{50}[/tex]

Similarly, if the ratio is applied to a group of 150 people,

[tex]\dfrac{\text{People who prefer roast beef sandwich}}{\text{People who were surveyed}} = \dfrac{12}{50}\\\\\\\dfrac{\text{People who prefer roast beef sandwich}}{\text{150}} = \dfrac{12}{50}\\\\\text{People who prefer roast beef sandwich}=36[/tex]

Hence, the number of people who prefer roast beef sandwiches out of 150 people is 36.

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Answer:

1/4 < 5/4

Step-by-step explanation:

Since the numbers have the same denominator, we compare the numerators

1 < 5

so 1/4 < 5/4

Answer:

5/4

Step-by-step explanation:

Hello there!

Since each number is given in terms of 4ths, we can look at which has more 1/4 that comprises it.

5>1, so 5/4 is greater.

:)

Answer:

the answerr is C

Step-by-step explanation:

Answer:$9.29

Step-by-step explanation:For unit rate finding the value of one is the objective. Easiest way to find it is by dividing the value (the amount of money being payed) by the amount beig sold ( the 5 shirts) so basically $46.45 ÷ 5

Answer:

9.25

Step-by-step explanation:

Answer is 1.6 pounds

.02 is not big enough to round up, so round down

Answer:

19

Step-by-step explanation:

This is a geometric series.

15, 3, (3/5), ...

common ratio r = 3/15 = (1/5)

a_1 = 15

Formula for nth term:   a_n = a_1 * r^(n-1)

a_n  = 15 *(1/5)^(n - 1)

We want the sum of the first 7 terms.

S =  a_1 * ( r^n  - 1) / (r - 1)

here let n = 7

S = 15 *  ( (1/5)^7 - 1 ) / ( (1/5) - 1)

S = 15 * ( (1/5)^7 - 1)  / (-4/5)

S = 15 * (5/-4) * ( (1/5)^7 - 1)

S =  ( -75/4 )* (-0.9999872)

S = - (-18.74976)  =  18.749...

The sum is about   19

The sum of the first 7 terms of the following series is 18.74.

'A geometric sequence is a sequence where every term has a constant ratio to its preceding term. A geometric sequence with the first term a and the common ratio r and has a finite number of terms.'

According to the given problem,

Sequence = { 15, 3, [tex]\frac{3}{5}[/tex] }

Let the common ratio be r,

Let the first term of the sequence be a,

⇒ a × r = second term

⇒ 15 × r = 3

⇒ r = [tex]\frac{3}{15}[/tex]

⇒ r = [tex]\frac{1}{5}[/tex]

We know,

Sum of n number of terms in a geometric sequence can be represented by,

[tex]S_{n} = \frac{a(1-r^{7}) }{1-r}[/tex]

⇒ [tex]S_{7} = \frac{15(1-(\frac{1}{5})^{7} ) }{1-\frac{1}{5} }[/tex]

⇒ [tex]S_{7} = \frac{15(1-(\frac{1}{5})^{7}) }{\frac{4}{5} }[/tex]

⇒ [tex]S_{7}= \frac{5*15(1-(\frac{1}{5})^{7} ) }{4}[/tex]

⇒ [tex]S_{7}= \frac{125(0.999)}{4}[/tex]

⇒ [tex]S_{7}=\frac{74}{4}[/tex]

⇒ [tex]S_{7} = 18.74[/tex]

Hence, we can conclude, the sum of the first 7 terms of the geometric sequence is 18.74.

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Answer

280

Step-by-step explanation:

Answer:

280 then 80

Step-by-step explanation:

right on edg2020

Answer:

The price of the sketchbook is $10, the price of the brush is $2.5 and the price of the paint set is $15.

Step-by-step explanation:

Let the price of the brush be b.

Let the price of the sketchbook be s.

Let the price of the paint set be p.

The brush was 1/4 as much as the sketchbook. This means that:

b = 1/4 * s = s/4_______________(1)

The sketchbook was 2/3 the cost of the paint set. This means that:

s = 2/3 * p

=> p = 3s/2 __________________(2)

Initially, he had $32.00 and after buying all the items, he had $4.50 left with him. This means that:

b + s + p + 4.50 = 32.00 ___________(3)

Put (1) and (2) in (3):

=> s/4 + s + 3s/2 + 4.50 = 32.00

Collect like terms and simplify:

11s/4 = 32.00 - 4.50 = 27.5

=> s = (27.5 * 4) / 11

s = $10

Put this back in (1) and (2):

b = 10 / 4 = $2.5

and

p = (3 * 10) / 2 = $15

The price of the sketchbook is $10, the price of the brush is $2.5 and the price of the paint set is $15.

Answer:

I want to delete my answer because the one already answered is correct.

Answer:

13.90 inches

Step-by-step explanation:

The sides of rectangle are 8.5 and 11 inches.

According to question diagonal needs to calculated.

The diagonal , and two sides of rectangle will forma a right angled triangle.

Right angle as it constitute a right angle of rectangle as well.

To understand more

construct a rectangle ABCD

then one of its diagonal will be AC if we take triangle ABC.

angle ABC will be right angled at B.

for triangle ABC . diagonal AC will be hypotenuse

So diagonal can be computed using Pythagoras theorem

which states that if a and b are two sides of  right angled triangle containing the right angle then hypotenuse is given by [tex]\sqrt{a^2+b^2}[/tex].

____________________________________________

In the problem

two sides are of length 8.5 and 11 inches

So, diagonal is hypotenuse which can be calculated by [tex]\sqrt{8.5^2+11^2}\\=>\sqrt{72.25+121}\\=>\sqrt{193.25}\\=>13.90[/tex]

thus length of diagonal is 13.90 inches.

Answer:

90%

Step-by-step explanation:

Answer:

90%

Step-by-step explanation:

To determine what percentage of money she spent, you would divide the amount she spent by the total amount she had.  

$45 ÷ $50 = 0.9

You would then multiply the decimal times 100 to convert the decimal to a percentage.

0.9 · 100 = 90

Answer:

-1 and 1/7

Step-by-step explanation:

i dont know how to explain it sorry

Answer:

- 8/7

Step-by-step explanation:

- 3/7 divided by 3/8

- 3/7 ÷ 3/8

- 3/7 × 8/3

- 24/21 = - 8/7

Thus, - 3/7 divided by 3/8 equals - 8/7

-TheUnknownScientist

Answer:

A summary of the data is as follows;

1. Maximum = 34

2. Minimum = 24

3. The 1st quartile is 27

4. The median is or the 2nd quartile 34

5. The 3rd quartile is 33

The data is summarized in the attached box plot

Step-by-step explanation:

24, 25, 29, 30, 31, 31, 32, 34, 34

From the given data, we have the five values of a box and whisker plot as follows;

1. Maximum = 34

2. Minimum = 24

3. The 1st quartile is the [tex]\frac{9 + 1}{4} th[/tex] term or 27

4. The median (2nd quartile) is the [tex]\frac{9 + 1}{2} th[/tex] term or 34

5. The 3rd quartile is the [tex]\frac{3(9 + 1)}{4} th[/tex] term or 33

Hence the attached box plot summarizes the data.

Answer: C

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello :

x²-3x-10=0  means : (x-5)(x+2)=0

x-5=0 or x+2=0

conclusion two solutions : 5 and -2

The solutions to the quadratic equation x² - 3x - 10 = 0 are x = 5 and x = -2.

Given the quadratic equation in the question:

x² - 3x - 10 = 0

To solve the quadratic equation x² - 3x - 10 = 0 by factoring, we need to find two binomials whose product equals the quadratic equation.

x² - 3x - 10 = 0

Factor the expression x² - 3x - 10 using the AC method:

Consider a pair of integers whose product is -10 and whose sum is -3.

We use -5 and 2:

Hence:

Write the factored form using these integers:

( x - 5 )( x + 2 ) = 0

Equate each factor to zero and solve for x:

( x - 5 ) = 0

x - 5 = 0

x = 5

Also, ( x + 2 ) = 0

x + 2 = 0

x = -2

Therefore, the values of x are 5 and -2.

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Answer:

The area of the wrestling ring is 5.29π [tex]m^2[/tex]

Step-by-step explanation:

A sumo wrestling ring is circular and has a circumference of 4.6π meters.

To find its area, we need to first find its radius.

The circumference of a circle is given as:

[tex]C = 2 \pi r[/tex]

where r = radius

Hence, the radius of the ring will be:

[tex]4.6\pi = 2\pi r\\r = 4.6 /2 = 2.3m[/tex]

The radius of the ring is 2.3 m.

The area of a circle is given as:

[tex]A = \pi r^2[/tex]

Hence, the area of the wrestling ring (in terms of π) will be:

[tex]A = \pi * 2.3^2[/tex]

[tex]A = 5.29\pi[/tex] [tex]m^2[/tex]

The area of the wrestling ring is 5.29π [tex]m^2[/tex]

Answer:

27

Step-by-step explanation:

Answer:

(B+b)xh/2 = formula for the area of the trapeze

so (9+3)x3/2= 12x3/2 = 6x3 = 18

Answer:

140 cubic cm

Step-by-step explanation:

v=1/3 bh

b=1/2(3) (5) (4)=60

b=1/2(60)=30

v=1/3(60)7=420

420/3=140

hope this helps

Answer:

The equation of the line is  y = 3x - 1

Step-by-step explanation:

In this question, we are asked to write the equation of the line using a point on the line and the slope of the line.

Mathematically, the slope-intercept form of a line can be written as;

y = mx + c

where m is the slope of the line and c is the y-intercept of the line. Now back to the question, we can see that we have all that is required for the line asides the value of the y-intercept C

To get this, we plug the values in the question into the equation of the straight line.

Here, we say y = 2, x = 1 and m = 3

2 = 3(1) + c

c = 2-3

c = -1

Thus, the equation of the line is  y = 3x - 1

Answer:

Given:

Sample size, n = 640

Since result showed that 99.2​% of them would erase all of their personal information online if they could, we have:

P' = 99.2% = 0.992

Let's take p = 50%

Our null and alternative hypothesis will be :

H0 : u = 0.5

H1 : u > 0.5

In this case we are to check for the test statistic.

[tex] \frac{P' - p}{\sqrt{p(1-p)/n}} [/tex]

[tex] = \frac{0.992 - 50}{\sqrt{50(1-50)/640}} [/tex]

= 24.9

Test statistic, Z = 24.893

In conclusion, the results are significantly high, which suggets there is suffcient evidence to support the claim that most adults would erase all of their personal information online.