which equation represents the distributive property

Answer:

Of two numbers, The largest whole number which is a factor of both.

Step-by-step explanation:

Hey there!

Let's make a system of equations using x and y to find the two numbers.X is smaller and y will be larger.

x+y=98

y-4x=18

Now, let's solve the bottom equation for y so we can use substitution.

y=18+4x

Now we plug this into the first equation.

x+18+4x=98

5x+18=98

5x=80

x=16

Now, we plug this into the first equation to find y.

y=82.

So, the larger number is 82 and the smaller number is 16.

I hope this helps! Have a great day!

Answer:

Pound of Apples = 2$

Pound of Banana = 2.75$

Step-by-step explanation:

Data

Yesterday Christopher sold 35 pounds of apples (35A) and 34 pounds of bananas (34B) for a total revenue of $163.5 (=163.50)

Today he sold 15 pounds of apples (15A) and 17 pounds of bananas (17B) for a total revenue of $76.75. (=76.75)

Now well, we have a system of the equation

35A+34B=163.50

15A+17B=76.75

we must eliminate A or B,  As you can see 34 is twice 17, so we multiply on both sides of the equation so as not to alter it

35A+34B=163.50                35A+34B=163.50                            

15A+17B=76.75 (-2) ⇒        -30A-34B=-153.50

                                              5A-0B = 10

5A=10 ⇒ A=10/5 ⇒ A=2

and B:

35(2)+34B=163.5 ⇒ 70+34B=163.5 ⇒ 34B=163.5-70

34B=93.5 = 93.5/34

B=2.75

Let x represent the price of each pound of apples and y represent the price of each pound of bananas.

Since 35 pounds of apples and 34 pounds of bananas for a total revenue of $163.50. Hence:

35x + 34y = 163.50      (1)

Also, 15 pounds of apples and 17 pounds of bananas for a total revenue of $76.75. Hence:

15x + 17y = 76.75        (2)

Solving equations 1 and 2 simultaneously gives x = 2, y = 2.75

The price of each pound of apples is $2 while price of each pound of banana is $2.75

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Answer:

y=9

y=1

y= -7

y= -15

Step-by-step explanation:

You have to use the number in the x colum and fill in itnot te equation

y= -4x+1

Start with the first number, -2

y= -4(-2)+1          multiply -4 and -2 because of PEMDAS

y=8+1                         simplify

y=9

Now do the next number, 0

y= -4(0)+1        Multiple -4 and 0  because of PEMDAS (Anything times 0 is 0)

y=1

Now do the next number, 2

y= -4(2) + 1      Multiply -4 and 2 because of PEMDAS

y= -8 + 1       Simplify

y=-7

Now do the next number, 4

y= -4(4) +1         Multiply -4 and 4 because of Pemdas

y = -16 +1

y= -15

Answer:

(5 x + 2) (x + 2)

Step-by-step explanation:

Factor the following:

5 x^2 + 10 x + 2 x + 4

10 x + 2 x = 12 x:

5 x^2 + 12 x + 4

Factor the quadratic 5 x^2 + 12 x + 4. The coefficient of x^2 is 5 and the constant term is 4. The product of 5 and 4 is 20. The factors of 20 which sum to 12 are 2 and 10. So 5 x^2 + 12 x + 4 = 5 x^2 + 10 x + 2 x + 4 = 2 (5 x + 2) + x (5 x + 2):

2 (5 x + 2) + x (5 x + 2)

Factor 5 x + 2 from 2 (5 x + 2) + x (5 x + 2):

Answer: (5 x + 2) (x + 2)

The slope of the line that contains the points (1,-1) and (-2,8) is calculated using the change in y-values over the change in x-values, which results in a slope of -3.

To find the slope of the line that contains the points (1,-1) and (-2,8), we use the formula:

slope (m) = (Change in y) / (Change in x) = (y2 - y1) / (x2 - x1)

Substitute the given points into the formula:

m = (8 - (-1)) / (-2 - 1)
= (8 + 1) / (-2 - 1)
= 9 / (-3)
= -3

So, the slope of the line is -3.

Answer:

95.25 calories

Step-by-step explanation:

127  x 0.25 = 31.75

127 -31.75 = 95.25

Answer:

2(s+10r)

Step-by-step explanation:

Answer:

r = -4/5

Step-by-step explanation:

Divide both sides by 15 so you have r

-12/15        simplify (both by 3)

-4/5

Answer:

0.0000052 kg

Step-by-step explanation:

Per one kilogram, there are one thousand grams. By dividing 0.0052 grams by 1000, we can find kilograms.

0.0052/1000 = 0.0000052 kg

(This could also be written as 5.2 x 10^-6 kg)

Hope this helps!

Answer:n=-1

Step-by-step explanation:n=-6+5

n=-1

Answer:

n = -1

Step-by-step explanation:

Given

n - 5 = -6

Add 5 to both sides in order to isolate the unknown

n - 5 + 5 = -6 + 5

n = -1

Factors of 12 : 1, 2, 3, 4, 6, 12

Factors of 20: 1, 2, 4, 5, 10, 20

In both lists of factors, 4 is in common. Therefore, the value of K is 4 because it can divide into both 12 and 20 without a remainder. 2 is also another possible value of K.

Answer:

4

Step-by-step explanation:

1*12=12   1*20=20

2*6=12   2*10=20

3*4=12   4*5=20

both have a similar multiple of 4, so k must be 4.

Answer:

x = -29/11 , y = 5/11

Step-by-step explanation:

-x+3y=4 ,..........(1)

3x+2y=-7 ............(2)

Solve simultaneously using elimination method

Multiply equation 1 by 3

It gives

-3x + 9y = 12

3x + 2y = -7..........(2) , add both equations

--------------------------

11y = 5

Divide both sides by 11

y = 5/11

Put value of y into equation (2)

3x +2y = -7

3x + 2(5/11) = -7

3x + 10/11 = '-7

Subtract 10/11 from both sides

3x +10/11 - 10/11 = -7  - 10/11

3x = -87/11

Divide both sides by 3

3x/3 = -87/11 ÷ 3

x = - 87/11 × 1/3

x = -29/11

Therefore x = -29/11 , y = 5/11

I hope this was helpful, please mark as brainliest

Answer:

1200

Step-by-step explanation:

1.2 * 1000

1200

Answer:  1200

Answer:

1200

Step-by-step explanation:

since they are 1.2 per 1000

= 1.2 * 1000

= 1200

Answer: The answer is 34 and 17

Step-by-step explanation: 34+17= 51

and 34-17=17

Problem setup:

The shape is way too complicated by itself, so I cut the shape into 5 different parts.

Please refer to the attached image or my answer will not make much sense.

Shape 1:

This is a triangle. The base is 3 and the height is 2. Thus, the area is:

[tex]A=\dfrac{1}{2}*3*2[/tex]

[tex]=3[/tex]

Shape 1 has an area of 3 square units.

Shape 2:

This shape is also a triangle. The base is 4 and the height is 2. Thus, the area is:

[tex]A=\dfrac{1}{2}*4*2[/tex]

[tex]=4[/tex]

Shape 2 has an area of 4 square units.

Shape 3:

This a unit square (the side lengths are 1).

Thus, Shape 3 has an area of 1 square unit.

Shape 4:

This shape is a rectangle. The base is 3 and the height is 4. Thus, the area is:

[tex]A=3*4[/tex]

[tex]=12[/tex]

Shape 4 has an area of 12 square units.

Shape 5:

This shape is also a rectangle. The base is 4 and the height is 2. Thus, the area is:

[tex]A=4*2[/tex]

[tex]=8[/tex]

Shape 5 has an area of 8 square units.

Total shape:

Add the areas of all 5 shapes to find the area of the shaded figure.

[tex]A=3+4+1+12+8[/tex]

[tex]=26[/tex]

The figure has a total area of 26 square units.

Side notes:

There is a way to solve this problem by only dividing this into only 3 different shapes, can you figure it out?

Let me know if you need a hint or any clarifications, thanks!

~ Padoru

Answer:

B. [tex]x\leq 8[/tex]

Step-by-step explanation:

[tex]3(x+4)\leq 36[/tex]

[tex]3x+12\leq 36[/tex]  use distributive property to multiply 3 by (x + 4)

[tex]3x+12\leq 36\\-12\leq -12\\3x\leq 24[/tex]  subtract 12 on both sides (cancel out 12)

[tex]3x\leq 24[/tex]

[tex]\frac{3x}{3} \leq \frac{24}{3}[/tex]  divide 3 on both sides (cancel out 3)

[tex]x\leq 8[/tex]

A central angle has the same measure as its arc.

Answer:

Part A = 90

Part B = 145

Step-by-step explanation:

For part A, we know that a triangle has a sum of 180 degrees. So we just add the angles we already know and then subtract them from 180. For part B, we know that angle ACB and angle ACD are supplementary angles, meaning they add up to 180 degrees. So just take 180 and subtract 35 to find the measure of angle ACD.

Answer:

0

Step-by-step explanation:

19z-19z=0

this is because z is always equivalent to itself, and therefore 19z is equivalent to 19z

When you subtract two numbers that are equivalent, you will always get 0

Chuck Mallory deposited $179.33 in currency and $358.66 in checks at an ATM. This total transaction totaled $538.00.

The question references a deposit made at an ATM. We'll analyze this transaction with the given facts.

Let's declare two variables to solve this problem. Let C represent the Currency and Ch represent the Checks. Based on the facts, we can establish the following equations:

We can solve for C by replacing Ch in the first equation with 2C from the second equation. Doing this, we get C + 2C = $538, or 3C = $538.

By dividing both sides of the equation by 3, We get C = $179.33. He deposited $179.33 in currency.

We can then find how much in checks he deposited by substituting C=$179.33 in the second equation. Ch = 2* $179.33, so Ch = $358.66. He deposited $358.66 in checks.

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Answer:

-77, -78, -79

Step-by-step explanation:

let one of the integers be x

since the integers are consecutive, the other 2 integers must be

(x+1) and (x+2)

given that sum of the integers is -234,

x + (x+1) + (x+2) = -234

x + x + 1 + x + 2 = -234

3x + 3 = -234   (subtract 3 from both sides)

3x = -234-3

3x = -237  (divide both sides by 3)

x = -237 / 3

x = -79  (answer)

hence the other two numbers are

(x + 1) = -79 + 1 = -78 (answer)

and

(x+2) = -79 + 2 = -77 (answer)

Answer:

Step-by-step explanation:

let the first integer is 'x', and by adding 1 in it we get the second integer that is 'x+1', and for third integer we need to add 1 in the previous integer i.e. is 'x+1' we get 'x+2'. Now all three integers we have are

x,x+1 and x+2.

since sum or add all three integer we get -234. so

x+x+1+x+2=-234

x+x+x=3x, and 1+2=3

3x+3=-234

3x=-234-3

3x=-237

x=-237/3

now the first integer is -237/3 or -79,

second integer is -78 and third integer is -77.

for verification add all three to get -234.

-79-78-77=-234. hence proved.

Answer: x=-9

Step-by-step explanation:

First, we want to isolate x by subtracting ten from both sides

4x=-36

Then divide by four to get:

X=-9

Answer:-6

Step-by-step explanation:

you'd want to subtract the ten and move it under the 26, adding to make a negative 36 then divide by 4 on both sides

The range of a set of values is the lowest and highest number of that data set.

First, lets put the numbers from least to greatest.

138, 142, 155, 165, 172, 193

Second, find the lowest and greatest number in the data set.

138 is the lowest and 193 is the highest number in the data set.

Therefore, 138 and 193 is the range.

Best of Luck!

Answer:

Volume of the cylinder = [tex]7686.72\,inches^3[/tex]

Step-by-step explanation:

Radius(r) of the cylinder= [tex]12\,inches[/tex]

Height(h) of the cylinder= [tex]17\,inches[/tex]

Volume of a cylinder is :

                   [tex]\pi \times r^2\times h[/tex]

As,

          [tex]\pi =\dfrac{22}{7}=3.14[/tex]

Volume is:  

            [tex]=3.14\times (12\times 12)\times 17\\\\=3.14\times 144 \times 17\\\\=3.14\times 2448\\\\=7686.72\,inches^3[/tex]

The volume of the cylinder is: [tex]7686.72\,inches^3[/tex]                    

Answer:$48.09 please give brainliest!

Step-by-step explanation: you need to turn the percent to decimal so you move the decimal points to places to the right so the percent now is 0.25 so then you do 38.47 *0.25 =9.62 so then you add 9.62 +38.47 =48.09

Answer:

$9.62

Step-by-step explanation:

total cost= $38.47

tip            = 25% = [tex]\frac{25}{100}[/tex]

=> tip       = [tex]\frac{25}{100}[/tex] * $38.47

               ≈ $9.62 (to the nearest cent)

NOTE: the question is solely asking for the tip, therefore, there is no need to add the tip to the total.

Hope this helps :)

Answer:

7(60+3)

Step-by-step explanation:

The distributive property is a(b+c) = ab+ac

7 x 63 = (7x60) + (7x3) = 7(60+3)

So in distributive form it would be 7(60+3)

Answer:

7(1·9)

Hope this helps

Answer:

Isosceles Triangle

Step-by-step explanation:

Since, sides of triangle measures 10 cm, 10 cm & 6 cm.

Therefore, two sides of triangle have equal measurement.

Hence, it is an ISOSCELES triangle.