Question 7
5 pts
An ice cream shop sold a combined total of 287 ice cream cones in the flavors of
chocolate or vanilla. They sold 75 more vanilla cones than chocolate. How many
chocolate ice cream cones did they sell?
O 181
0106
225
212

The distance between the given points is 13 units.

We have two coordinate points  A(8, -4) and B(3, 8).​

We have to determine the distance between these two points.

The distance between two points -

[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]

According to the question, we have -

Coordinates of 1st point -  A(8, -4)

Coordinates of 2nd point -  B(3, 8)

Using the distance formula given -

d = [tex]\sqrt{(3-8)^{2} + (8-(-4)^{2} }[/tex]

d = [tex]\sqrt{(-5)\times (-5) + (12)\times (12)}[/tex]

d = [tex]\sqrt{25 + 144}[/tex]

d = [tex]\sqrt{169}[/tex]

d = 13 units

Therefore, the distance between the given points is 13 units.

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Explanation:

For now, ignore the variables. Let's just focus on the coefficients 12 and 16.

The GCF of 12 and 16 is 4 because this is the largest factor they have in common.

12 = 4*3

16 = 4*4

You could create a factor tree to get the prime factorization of each number

12 = 2*2*3

16 = 2*2*2*2

Each factor tree has two copies of '2' leading to the GCF 2*2 = 4.

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Now let's go back to the variables. The term 12n and 16w^3 do not have any variables in common. So the final answer won't have any variables in it. If both terms had say a 'w' in them, then w would somehow be involved in the GCF. But that's not the case here. So we just stick to 4 as our answer.

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Side note: If you had 12n+16w^3 and you wanted to factor, then you would factor out the GCF 4 to get 12n+16w^3 = 4(3n+4w^3). Use the distribution rule to confirm this.

Answer:

5y-35

Step-by-step explanation:

since we don't know what y is you have to multiply y and 7 by 5 and you'd get 5y and 35 and then just add the subtraction and bam there's your answer

Answer:

x = 3 , y = 1

Step-by-step explanation:

Solve the following system:

{y = x - 2 | (equation 1)

y = 7 - 2 x | (equation 2)

Express the system in standard form:

{-x + y = -2 | (equation 1)

2 x + y = 7 | (equation 2)

Swap equation 1 with equation 2:

{2 x + y = 7 | (equation 1)

-x + y = -2 | (equation 2)

Add 1/2 × (equation 1) to equation 2:

{2 x + y = 7 | (equation 1)

0 x+(3 y)/2 = 3/2 | (equation 2)

Multiply equation 2 by 2/3:

{2 x + y = 7 | (equation 1)

0 x+y = 1 | (equation 2)

Subtract equation 2 from equation 1:

{2 x+0 y = 6 | (equation 1)

0 x+y = 1 | (equation 2)

Divide equation 1 by 2:

{x+0 y = 3 | (equation 1)

0 x+y = 1 | (equation 2)

Collect results:

Answer: {x = 3 , y = 1

[tex]\huge\boxed{\boxed{\bold{(3, 1)}}}[/tex]

[tex]\hrulefill[/tex]

I'm assuming you need to find the solution to this system of equations (where the lines intersect).

We can use the substitution method to solve this system. Take the value of [tex]y[/tex] from the second equation and substitute it into the first:

[tex]-2x+7=x-2[/tex]

Add [tex]2x[/tex] to both sides of the new equation:

[tex]7=3x-2[/tex]

Now add [tex]2[/tex] to both sides of the equation:

[tex]9=3x[/tex]

Divide both sides by [tex]3[/tex]:

[tex]\boxed{3}=x[/tex]

Now let's solve for [tex]y[/tex] by substituting the known value of [tex]x[/tex] into the first equation:

[tex]y=3-2[/tex]

Simplify using subtraction:

[tex]y=\boxed{1}[/tex]

This means our solution is:

[tex]\large\boxed{(3, 1)}[/tex]

12^2 - s^2 is area of the large square minus area of the smaller square. It's the only correct option.

An expression is defined as a set of numbers, variables, and mathematical operations. The expression represents the area of the frame in square inches is 12² - s².

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The area of the two squares can be written as,

Area of the larger square = 12²

Area of the smaller square = s²

Now, The area of the frame

= Area of the larger square - Area of the smaller square

= 12² - s²

Hence, the expression represents the area of the frame in square inches is 12² - s².

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Answer:

-13

Step-by-step explanation:

Subsitude -2 to where x is and you get -1o then subtract by -3 and the total is -13

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

[tex]4x=32[/tex]

[tex]4\times x =32[/tex]

Divide both sides by 4:

[tex]\frac{4\times x}{4}=\frac{32}{4}[/tex]

[tex]x=8[/tex]

Answer:

x=8

Step-by-step explanation:

Answer:

Let's kim's sisters age be 2x and kim's age be x.

★ When we add kim's age to her sister age, they equals to 36.

So, the equation becomes -

[tex] \\ \implies \sf \: x + 2x = 36 \\ \\ \\ \implies \sf \: 3x = 36 \\ \\ \\ \sf \underline{Now, \: \: solve \: \: for \: x \: \: - } \\ \\ \\ \implies\sf \: x = \frac{36}{3} \\ \\ \\ \implies \large{ \boxed{ \sf{ x = 12}}} \\ [/tex]

Answer: B

Step-by-step explanation:

-6.53, -6 1/4, 6.57, 6 3/4.

Step-by-step explanation:

[tex] - 9 + 6p = 5p[/tex]

[tex]6p - 5p = 9[/tex]

[tex]p = 9[/tex]

is the answer.

The things to Note:-

☃️ Hope it HELPS ☃️

the remainder is - 1

when (x ³ - 7x + 5) is divided by (x + 3) the remindeer is f( -3 )

x + 3 = 0 => x = - 3

f(-3) = (-3)³ - 7(-3) + 5

= - 27 + 21 + 5

= - 1

Answer:

x > 5/8

Step-by-step explanation:

[16x+2] > 12

16x > 12 - 2

16x > 10

x > 10/16

x > 5/8

Answer:

Step-by-step explanation:

16x + 2 > 12

16x > 10

x > 10/16

x > 5/8

Answer:

8

Step-by-step explanation:

Answer:

2w-2=16

Step-by-step explanation:

w=9

2w-2

2(9)-2

18-2

16

Answer:

16

Step-by-step explanation:

When we have an expression and we are given the value of the variable, we can substitute inside the expression and find it’s value.

[tex]2w-2[/tex], we know [tex]w=9[/tex] so:

[tex](2\cdot 9) - 2[/tex]

[tex]2\cdot9=18[/tex]

[tex]18-2\\\\16[/tex]

Hope this helped!

Answer:

2.5(x-1)+4.5(-x-2)

2.5x-2.5-4.5x-9

-2x-11.5

Step-by-step explanation:

Answer:

2x-11.5

Step-by-step explanation:

[tex]2.5(x-1)+4.5(-x-2)\\2.5x-2.5+4.5x-9\\2.5+2x-9\\2x-11.5[/tex]

hope this helps

Answer:

i have no idea

Step-by-step explanation:

no idea

Answer:

-4<x<-2

Step-by-step explanation:

The first thing you do to solve this problem is to look at the limits: -3x-4 should be higher than 2 and lower than 5.

You first find what x should be for -3x-4  to equal 2. After solving, you get that x should be -2 for the equation to be equal to 2.

You then find what x should be for -3x-4 to equal 5. After solving, you get that x should be -4 for the equation to be equal to 5.

Since x can't be -2 or -4, because -3x-4 should be greater than 2 and less than 5, the solutions for x are going to be between -2 and -4.

This is why the answer to this problem is -4<x<-2.

Answer:

(5,7)

Step-by-step explanation:

Answer:

24 buses

Step-by-step explanation:

In order to find the answer, we need to divide the number of students by the capacity of each bus. There are 800 students and each bus carries 34.

800/34=23.5

Since we can't have half of a bus, we round up to 24.

24 buses

Answer:

The measure of angle A is 53 degrees

The measure of angle B is 37 degrees

Step-by-step explanation:

Here in this question, we are interested in calculating the measure of the two angle.

When how angles are complementary, it means the sum of both equals 90 degrees

mathematically ;

(7x + 4) + (4x + 9) = 90

7x + 4x + 4 + 9 = 90

11x + 13 = 90

11x = 90-13

11x = 77

x = 77/11 = 7

The measure of angle A = 7x + 4 = 7(7) + 4 = 49 + 4 = 53 degrees

The measure of B = 4x + 9 = 4(7) + 9 = 28 + 9 = 37 degrees

Answer:

7 hours

Step-by-step explanation:

Her rate (speed) is

v = d/t = (792 miles) / (11 hrs) = 72 mph

To drive a distance D = 504 miles, it will take her a time T given by

T = D/v = (504 miles) / (72 mph) = 7 hours

Step-by-step explanation:

[ 4 - 3 ] b -b (-4)

1 b + 4b

5b Ans according to me

Answer: The answer is A

Answer:

its A!!!! i just did it!

Step-by-step explanation:

Answer:

M= 7/3 hope that helps ya out

Answer:

Step-by-step explanation:

83/100 is already simplified. You can not make it smaller.

Answer:

The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).

Step-by-step explanation:

i googled it