2. What is the equation in slope-intercept form of the line that passes through the given points in
the table?
x
2
3
y
-1
-4

Answer:

x=7

Step-by-step explanation:

direct variation is in the form y=kx

65 = k 13

by dividing both sides be 13, we see that 5 = k

thus, we can then take the next situation 35 = 5x

dividing both sides by 5 brings us to 7 = x

Answer:

87.5 teaspoons

Step-by-step explanation:

Given that a mixture of purple paint contains 6 teaspoons of red paint and 15 teaspoons of blue paint.

So, Purple paint : Blue paint =  6 :15

To make the same shade the ratio of purple and blue paint must be the same.

In the new mixture, the amount of purple paint =35 teaspoon.

let the amount of red paint =x teaspoon.

So, in the new mixture,

Purple paint : Blue paint =  35 : x

So, to make the same shade, the ratio of purple and red paint must be the same, i.e

35 : x =  6 :15

[tex]\Rightarrow \frac {35}{x}=\frac{6}{15}[/tex]

[tex]\Rightarrow x={35\times15}{6}=87.5[/tex]

Hence, 87.5 teaspoons of red paint required to mix with 35 teaspoons of purple paint to make the same shade.

Answer:

C. The area of the blue circle is equal to the sum of areas of green square and black circle.

Step-by-step explanation:

The area of a circle is the circumference of the circle measured with its diameter. In the given scenario the area of the blue circle is greater than the area of black circle. This is because of the difference in diameter of the two circles. The area of green square plus the area of black circle equals the blue circle.

Answer:

-8

Step-by-step explanation:

[tex] \frac{8 - 2x}{12} = 2[/tex]

[tex]8 - 2x = 24[/tex]

[tex] - 2x = 16[/tex]

[tex]x = - 8[/tex]

8- 2x/12 = 2

Multiply both sides by 12:

8 - 2x = 24

Subtract 8 from both sides:

-2x = 16

Divide both sides by -2:

X = -8

Answer:

20 caramel apples are covered with sprinkles

Step-by-step explanation:

Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping. 1/5 of caramel apples are covered with peanuts. 1/3 are covered with chocolate chips. 3/10 are covered with coconut. The rest are covered with sprinkles.

Let the Total fraction of caramel apples = 1

1 = 1/5 + 1/3 + 3/10 + caramel apples covered in sprinkles

Fraction of caramel apples covered in sprinkles = 1 - (1/5 + 1/3 + 3/10 )

LCM of denominator = 30

= 1 - (6 + 10 + 9/30)

= 1 - 25/30

= 5/30

= 1/6

How many caramel apples are covered with sprinkles

This is calculated as :

Fraction of caramel apples covered in sprinkles × Total number of caramel apples

= 1/6 × 120

= 20 caramel apples covered in sprinkles.

Answer:

28

Step-by-step explanation:

ABC=56, next BD is a bisector which means 1 and 2 are equal so 56/2 = 28, both 1 and 2 equal 28

≈ 92 kg

Hi there !

w = m×g => m = w/g

g = 9.8m/s² = 9.8m·s⁻²

w = 900N = 900kg⋅m⋅s⁻²

m = 900kg⋅m⋅s⁻²/9.8m·

= 91.83 kg

≈ 92 kg

Good luck !

Answer:

x = 24                            x = 7

Step-by-step explanation:

|2x-31| = 17​

Absolute value equations have 2 solutions, one positive and one negative

2x-31 = 17   and 2x-31 = -17

Add 31 to each side

2x-31+31 = 17+31   and 2x-31+31 = -17+31

2x = 48                          2x = 14

Divide by 2

2x/2 = 48/2                 2x/2 = 14/2

x = 24                            x = 7

Answer:

24

To find:

x

Step-by-step explanation:

2x-31 = 17

2x=17+31

2x=48

x=48/2

x=24​

hope it helps you!

Answer:

The answer is "40 square feet".

Step-by-step explanation:

The formula of the area:

[tex]\bold{A = (2L \times 2W)}\\\\[/tex]

    [tex]= 4LW \\\\[/tex]

if:

[tex]\to 4A = 160 \\\\[/tex]

         [tex]= \frac{160}{4} \\\\ = 40 \ \ sq \ ft[/tex]

Answer:

x-8≤17

x ≤ 25

Answer:

The actual number of passengers on the bus falling by 8 after the second stop

Step-by-step explanation:

Assume that the total passengers on the bus before 2:30 was x

At 2:30:

11 passengers got off and 8 got on.

So, the number of passengers

= x - 11 + 8

= x - 3

10 minutes later:

5 passengers got off the bus

So, the number of passengers

number of passengers = (x - 3) - 5

number of passengers = x - 8

now by comparing,

The actual number of passengers on the bus falling by 8 after the second stop

Answer: option D

Step-by-step explanation:

Answer:

D.) The percent change is 60%

Step-by-step explanation:

I know this because 960-600= 360

360÷600= .6

.6= .60

.60= 60%

Hope this helped!!! :)

Answer:

It is NOT c

Step-by-step explanation:

I clicked c and it was wrong lol.

Answer:

its D

Hope this helps ⊂◉‿◉つ

Answer:

Dog food will be enough for 8 days

Brainliest pls

Step-by-step explanation:

Answer: the third one

Step-by-step explanation: C

Answer:

-6, -5, -4,-3,-2

Step-by-step explanation:

Целые числа - это просто целые числа, положительные или отрицательные. Целые числа - это числа без дробных частей. Целые числа от -6,6 до -1,2 следующие:

-6,-5,-4,-3,-2

The diameter of the handle of a softball bat is 1 ¾ inches.

Step-by-step explanation:

Answer:

The area of the triangle AOB is 10

Step-by-step explanation:

The line 4x+5y-20=0 forms a triangle AOB as shown in the figure below. The points A and B are the y-intercept and x-intercept respectively, and the point O is the origin.

To find the intercepts, we set the other variable to zero and solve the resulting equation.

Set x=0, the y-intercept is found as follows:

4(0)+5y-20=0

5y=20

y=20/5=4

The y-intercept is y=4

Set y=0, the x-intercept is now found:

4x+5(0)-20=0

4x=20

Solve:

x=20/4=5

The x-intercept is x=5

Now, knowing the base b and the height of the triangle h are 5 and 4 respectively, the area of the triangle is:

[tex]\displaystyle A=\frac{bh}{2}[/tex]

[tex]\displaystyle A=\frac{5\cdot 4}{2}=10[/tex]

The area of the triangle AOB is 10

Answer:

AB is parallel to YZ, BC is parallel to XY, AC is parallel to XZ.

Answer:

V₂ = 450 cm³

Step-by-step explanation:

The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P.

[tex]V\propto \dfrac{1}{P}[/tex]

If V₁ = 600 cm³, P₁ = 300 mm hg, P₂ = 400 mm hg

We need to find a new volume. Using the above concept,

[tex]V_1P_1=V_2P_2\\\\V_2=\dfrac{V_1P_1}{P_2}\\\\V_2=\dfrac{600\times 300}{400}\\\\V_2=450\ cm^3[/tex]

So, when the pressure is 400 mm hg, its volume is 450 cubic centimeters

Answer:

1<x<9

Step-by-step explanation:

The parenthesis means that the inequality symbols are simply less than rather than less than or equal to. From there on, you just plug in the values on either side of x and you have your inequality.

Answer:

14.25+7.50x=3.25+8.50x

Step-by-step explanation:

From the information given, the equation that can be used to determine how many tickets need to be purchased in order for the cost to be the same would indicate that the price of purchasing tickets on website A would be equal to the price of purchasing tickets on website B, which is:

14.25+7.50x=3.25+8.50x, where x is the number of tickets purchased

14.25-3.25=8.50x-7.50x

11=x

x=11

Answer:

It Mike who ate the most pizza

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

unu

Step-by-step explanation:

do you have the answer now I need it please