In a survey of 105 people, there were half as many adults as children. How many children were there?

We have points (-3, 4), (-1, 2), (4, -3) and (6,-5)

Let's verify it's a line by calculating the slopes between successive points.

Slope is change in y over change in x.

(2 - 4)/(-1 - -3) = -2/2 = -1

(-3 - 2)/(4 - -1) = -5/5 = -1

(-5 - -3)/(6 - 4) = -2/2 =-1

Yup.  We have a line of slope -1 through point (-1, 2)

y - 2 = -1(x - -1)

y  = -x - 1 + 2

y = -x + 1

That's the linear equation for the table.  

Answer:  Linear equation: y = -x + 1          slope = -1

Answer:

17.7

Step-by-step explanation:

First off, we do not need to do anything to the 17, it is already set up for a decimal. So we have to find out how much 1/50 is so we divide:

Divide:

1/50=0.02

Multiply by 35:

0.02 times 35= 0.7

Add the 17:

17+0.7=17.7

I hope this helps u pls give a brainliest and a thx ;)

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THIS IS AN EXAMPLE:

just follow and understand this and hopefully it helps :)

Answer:

11x - y

Step-by-step explanation:

Answer:

[tex]14\frac{17}{20}[/tex]

Step-by-step explanation:

[tex]6\frac{3}{5} (2\frac{1}{4})\\\\\frac{33}{5} (\frac{9}{4} )\\\\\frac{297}{20} = 14\frac{17}{20}[/tex]

Answer:

14  17/20

Step-by-step explanation:

Convert the mixed numbers to improper fractions first.

So 6 3/5 =33/5  and 2 1/4 =9/4

Then multiply 33/5 x 9/4

33 x 9=297  

5 x 4 =20

Then convert 297/20 back to a mixed number by dividing

14 x20 =280

you have 17/20 left

Given:

Image of the figure

To find:

The area of the figure.

Solution:

The image is splitted into two shapes.

One is rectangle and the other is trapezium.

Reference image for answer is attached below.

Rectangle:

Length = 10 cm

Width = 2.8 cm

Area = length × width

        = 10 × 2.8

Area = 28 cm²

Trapezium:

Top base = 6 cm

Bottom base = 10 cm

Height = 7.2 - 2.8 = 4.4 cm

Area = [tex]\frac{1}{2} \times(b_1+b_2)\times h[/tex]

        [tex]$=\frac{1}{2} \times(6+10)\times 4.4[/tex]

        [tex]$=\frac{1}{2} \times16\times 4.4[/tex]

Area = 35.2 cm²

Area of the figure = 28 cm² + 35.2 cm²

                              = 63.2 cm²

The area of the figure is 63.2 cm².

Answer:

5.5

Step-by-step explanation:

11/8 = k/4

If you divide from the denominator you have to divide from the nominator

so 11/2=5.5

Answer:

B 2/5

F theoretical > experimental

Step-by-step explanation:

P(heads) = numbers of heads/ total

              =8/20 = 2/5

The theoretical (1/2) is greater than the experimental probability

1/2 > 2/5

Final answer:

The total monthly payment needed to pay off both cards in three years, assuming fixed payments and no further charges, is $550.78.

Explanation:

Calculating the Total Monthly Payment

To calculate the total monthly payment needed to pay off both cards in three years, we need to find the monthly payment for each card and add them together.

Calculating the Monthly Payment for Electronics Boutique Credit Card

Step 1: Calculate the monthly interest rate by dividing the annual interest rate by 12. For the Electronics Boutique card, the monthly interest rate is 18.4% / 12 = 1.53%.

Step 2: Use the formula for calculating the monthly payment on a loan:

Monthly Payment = (Principal * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Payments))

For the Electronics Boutique card, the principal is $8,950 and the number of payments is 3 years * 12 months per year = 36 months.

Plugging the values into the formula, the monthly payment for the Electronics Boutique card is $320.84 (rounded to the nearest cent).

Calculating the Monthly Payment for Miscellaneous Goods Credit Card

Following the same steps as above, the monthly payment for the Miscellaneous Goods credit card is $229.94 (rounded to the nearest cent).

Calculating the Total Monthly Payment

To get the total monthly payment, we add the monthly payments for both cards: $320.84 + $229.94 = $550.78 (rounded to the nearest cent).

Answer:

29/3

Step-by-step explanation:

You use PEMDAS and do the parentheses first:

(5+24)/3= 29/3

Answer:

29/3

or 9.6666666666666666666666666

Step-by-step explanation:

5+24= 29

then divide by 3

Answer:

x = 12

See picture for explanation and steps

Answer:

12

Step-by-step explanation:

These angles are exterior alternate , and thus equal

4x + 16 = 7x - 20

3x = 36

x = 12

Answer:

quad 3

Step-by-step explanation:

Subtract multiples of 360

944 -360

584

584 -360

224

0-90 is in quad 1

91 -180 is in quad 2

181 - 270 is in quad 3

Answer: Rosa is finding the number of kilometers in a mile.

Step-by-step explanation:

According to the given information, we have:

1,760 yd=1 mi

0.914 m=1 yd

1 km=1,000 m

So, as we can see, Rosa wants to convert miles to yards, then yards to meters and finally meters to kilometers:

[tex](1 mi\frac{1,760 yd}{1 mi})( \frac{0.914 m}{1 yd})( \frac{1 km}{1,000 m})=1.608 km[/tex]

Then:

[tex]1  mi=1.608 km[/tex] This is the number of kilometers in a mile.

Step-by-step explanation:

In the recursive formula an = an−1 + 5

[tex]a_n = a_{n-1}+5[/tex]

Suppose if a_5 is the nth term then previous term is a_4

To get the previous term we need to subtract 1 from the n

So a_n is the nth term

[tex]a_{n-1}[/tex] is the previous term

Here 5 represents the common difference between two terms

So value of previous term is represented by

[tex]a_{n-1}[/tex]

Answer : [tex]a_{n-1}[/tex]

Answer:

D) [tex]a_{n-1}[/tex]

Step-by-step explanation:

-1 indicates the previous term

Answer:

Step 1:  Set x to -1 in the first equation

[tex]f(x) = -x^2 + x[/tex]

[tex]f(-1) = -(-1)^2 + (-1)[/tex]

[tex]f(-1) = -(1) - 1[/tex]

[tex]f(-1) = -1 - 1[/tex]

[tex]f(-1) = -2[/tex]

Step 2:  Set x to -1 in the second equation

[tex]f(x) = -x[/tex]

[tex]f(-1) = -(-1)[/tex]

[tex]f(-1) = 1[/tex]

Answer:

x = -5

y = 9

Step-by-step explanation:

3x = -15

x = -5

Substitute x into the equation and simplify:

6(-5) + 4y = 6

-30 + 4y = 6

4y = 36

y = 9

Answer:

Yes

Step-by-step explanation:

Start with the 2(x-y) and distribute the 2 to each term

2(x)-2(y)

This would equal

2x-2y

Which matches the second equation making the answer yes.

The pairs of expressions that are equivalent are:

- [tex]\( 2(x-y) \)[/tex] and [tex]\( 2x-2y \)[/tex]

- [tex]\( 4(x+y) \)[/tex] and [tex]\( 4y+4x \)[/tex]

- [tex]\( 21q-7p \)[/tex] and [tex]\( (3q-p)(7) \)[/tex]

Let's simplify each expression to see if they are equivalent.

Step 1

1. [tex]\( 2(x-y) \)[/tex] and [tex]\( 2x-2y \)[/tex]:

  Simplifying [tex]\( 2(x-y) \)[/tex]:

 [tex]\[ 2(x-y) = 2x - 2y \][/tex]

  Yes, they are equivalent.

Step 2

2. [tex]\( 4(x+y) \)[/tex] and [tex]\( 4y+4x \)[/tex]:

  Simplifying [tex]\( 4(x+y) \):[/tex]

 [tex]\[ 4(x+y) = 4x + 4y \][/tex]

  Yes, they are equivalent.

Step 3

3. [tex]\( 21q-7p \)[/tex] and [tex]\( (3q-p)(7) \)[/tex]:

  Simplifying  [tex]\( (3q-p)(7) \)[/tex]:

[tex]\[ (3q-p)(7) = 21q - 7p \][/tex]

  Yes, they are equivalent.

Step 4

4. [tex]\( 4(2a-3v) \)[/tex] and [tex]\( 8a+6v \)[/tex]:

  Simplifying [tex]\( 4(2a-3v) \)[/tex]:

 [tex]\[ 4(2a-3v) = 8a - 12v \][/tex]

  No, they are not equivalent.

Step 5

5. [tex]\( 8(3x+c)-1 \)[/tex] and [tex]\( 8c+24x-1 \)[/tex]:

  Simplifying [tex]\( 8(3x+c)-1 \)[/tex]:

  [tex]\[ 8(3x+c)-1 = 24x + 8c - 1 \][/tex]

  No, they are not equivalent.

Step 6

6. [tex]\( 4p+3c \)[/tex] and [tex]\( (c+2p)(2) \)[/tex]:

  Simplifying [tex]\( (c+2p)(2) \)[/tex]:

[tex]\[ (c+2p)(2) = 2c + 4p \][/tex]

  No, they are not equivalent.

[tex]\( (3q-p)(7) \)[/tex]

Complete correct question:

Determine whether each pair of expressions is equivalent.

2(x-y) and 2x-2y

4(x+y) and 4y+4x

21q-7p and (3q-p)(7)

4(2a-3v) and 8a+6v

8(3x+c)-1 and 8c+24x-1

4p+3c and (c+2p)(2)

Answer:

90 cm, 180 cm, 240 cm

Step-by-step explanation:

Let the lengths of sides of the triangle be 3x, 6x and 8x

[tex] \therefore \: 3x + 6x + 8x = 5.1 \: m \\ \therefore \: 17x = 510 \: cm \\ \therefore \: x = \frac{510}{17} \\ \therefore \:x = 30 \: cm \\ \implies \\ 3x = 3 \times 30 = 90 \: cm \\ 6x = 6 \times 30 = 180 \: cm \\ 8x = 8 \times 30 = 240 \: cm[/tex]

Hence, lengths of the sides of the triangle are 90 cm, 180 cm and 240 cm.

Answer:

20

Step-by-step explanation:

12/6 = 2

2x10=20

Answer:

Step-by-step explanation:

a) X + 5 = 11

   Subtract 5 from both sides

   X = 6

b) X - 6 = 8

   Add 6 on both sides

   X = 14

c) 3 + X = 7

   Subtract 3 on both sides

   X = 4

d) 12 = X + 5

   Subtract 5 from both sides

    7 = X or X = 7

Answer:

a) x=6

subtract 5 from each side.

b) x= 14

add 6 to each side

c) x=4

subtract 3 from both sides

d) x=7

subtract 5 from both sides

Step-by-step explanation:

a) subtract 5 from each side.

b) add 6 to each side

c) subtract 3 from both sides

d) subtract 5 from both sides

Answer:

B) 53%

Step-by-step explanation:

To find the percent divide the number who will vote for Candidate A over the total number of people surveyed

vote for Candidate A/total surveyed

128/240=0.53333

0.53333*100=53.3333%

Rounded to the nearest percent=53%

Hope this helps! :)

Answer:

33.6 ounces of rasins (:

Step-by-step explanation:

Answer:

33.6 ounces

Step-by-step explanation:

for every 1 muffin, you need 1.4 ounces... 1:1.4

multiply the ounces for one muffin by the amount of muffins about to be made

1.4 * 24

33.6 ounces of raisins are needed for 24 muffins.

i hope this helped you!

:)

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Hello there, to answer your question...

Surface Area =  4πr2

=  4×π×52

=  100π

The surface area of a sphere with a radius of 5 ft is 100π square feet.

It is a three-dimensional figure where the volume is given as:

The volume of a sphere = 4/3πr³.

The surface area of a sphere with a radius r is given by the formula:

Surface area = 4πr²

We have,

The surface area of a sphere with a radius r is given by the formula:

Surface area = 4πr²

Substituting r = 5 ft, we get:

Surface area = 4π(5^2) = 4π(25) = 100π

Therefore,

The surface area of a sphere with a radius of 5 ft is 100π square feet.

Learn more about sphere here:

https://brainly.com/question/12390313

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Answer:

x=-1

Step-by-step explanation:

The first step is to expand everything in parentheses.

-2(3x-4)=4(x+3)+6

-6x+8=4x+12+6

Now, combine like terms.

10x=-10

Finally, divide both sides by 10 to isolate x.

x=-1

Hope this helps!

Answer:

7/20

Step-by-step explanation:

Answer:

Step-by-step explanation:

The median is 29

There is no mode

The mean is when you add them together will be 387 and then you divide it by 8 which will be equal to 48.375

The range will be 80 I don’t know if this is right

Answer:

i hate math

Step-by-step explanation:

Answer:

he will have 16 portions of dog food

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

2 books has the highest rate

2+2+2+2+2+2+2=14

Answer:

c

Step-by-step explanation:

3