A smoothie cafe has the ingredients needed to make 50,000 Smoothies on a day when the high temperature is expected to reach 90F. Should the cage employees expect to have enough ingredients for the day's smoothie sales? Explain.​

Answer:

( - ∞, ∞)

Step-by-step explanation:

Any value of t makes the interval notation ^^^

Answer:

I think

y=1/3x-10/3

Step-by-step explanation:

Perpendicular Lines mean they have the negative reciprocal slope. This line has slope m = -1/3 so the perpendicular line has slope m = + 1/3

Our point is (3, 5)

Now use point slope form to find the equation: (y - y1) = m(x - x1)

(y - 5) = m(x - 3)

(y - 5) = 1/3(x - 3)

y -5=1/3x-10/3

                                               Question 1)

Given the points

Finding the slope between (3, 5) and (3, -6)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [-6 - 5] / [3 - 3]

               = -11 / 0

               = undefined or ∞

Thus, the slope of the line = m = undefined.

Note: The undefined slope means the line is vertical.

                                            Question 2)

Given the points

Finding the slope between (-6, 2) and (8, 2)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [2 - 2] / [8 - (-6)]

               = 0 / 14

               = 0

Thus, the slope of the line = m = 0.

Note: The zero slope means the line is horizontal.

Answer:

m = -3

b = 9

y = -3x + 9

Step-by-step explanation:

Let us solve the question

∵ The line passes through points (4, -3) and (3, 0)

∵ The rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex]

∵ (x1, y1) and (x2, y2) are 2 points on the line

∴ x1 = 4 and y1 = -3

∴ x2 = 3 and y2 = 0

→ Substitute them in the rule of the slope to find it

∵ m = [tex]\frac{0--3}{3-4}[/tex] = [tex]\frac{0+3}{-1}[/tex] = -3

∴ m = -3

∵ The form of the equation of the line is y = m x + b

→ Substitute the value of m in the form of the equation.

∴ y = -3x + b

→ To find b substitute x and y by the coordinates of the point (3, 0) or (4, -3)

∵ x = 3 and y = 0

∴ 0 = -3(3) + b

∴ 0 = -9 + b

→ Add 9 to both sides

∴ 9 = b

∴ b = 9

→ Substitute the value of b in the equation

∵ y = -3x + 9

∴ The equation of the line is y = 3x + 9

Answer: 12x+8y=80

8x-2y=60

Step-by-step explanation:

The equations that could be part of the process of solving this system are 12x+8y=80 and 8x-2y=60.

The original equation was 3x+2y= 20 and 4x-y=30. Multiplying all through by 4 gives 12x+8y=80 and 8x-2y=60.

Answer:

a+b = 4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

3(a + b)^2 = 81

(a + b)^2 = 27

a + b = sq rt 27

a + b = [tex]\sqrt{9}[/tex]· [tex]\sqrt{3}[/tex]

a + b = 3[tex]\sqrt{3}[/tex]

Answer:

Please check the explanation.

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

k = y/x

here k is the constant of variation.

From the table,

substitute x = -3, y = -4 in the equation

k = y/x

k = -4/-3

k = 4/3

substituting x = -2, y = -1

k = y/x

k = -1/-2 = 1/2

substituting x = -1, y = 2

k = y/x

k = 2/-1 = -2

substituting x = 0, y = 5

k = y/x

k = 5/0 = ∞

substituting x = 1, y = 8

k = y/x

k = 8/1

k = 8

substituting x = 2, y = 11

k = y/x

k = 11/2

substituting x = 3, y = 14

k = y/x

k = 14/3

It is clearly visible that there is no constant of variation because the ratio y = k/x is variating for different ordered pairs.

Thus, It is clear that none of the answers in the answer choices represent the constant of variation in this relation.

Answer:

A

Step-by-step explanation:

180⁰= a+b+81⁰

a=180⁰-117⁰=63⁰

b=180⁰-63⁰-81⁰=36⁰

Answer:

I believe it is BCG

Step-by-step explanation:

Answer:

answer is also 60.

Step-by-step explanation:

Since angle 2 is also 60 degrees, angle 6 will also be 60 degrees.

Answer:

angle 5 =60° (corresponding angles)

angle 5 = angle 6 =60° (vertically opposite angles)

Answer:

[tex]x = -1[/tex]

[tex]y = 3[/tex]

Step-by-step explanation:

Given

The attached table

Required

Fill in the blanks

First, we need to calculate the slope

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Where:

[tex](x_1,y_1) = (1/2,1)[/tex]

[tex](x_2,y_2) = (3,-9)[/tex]

So, we have:

[tex]m = \frac{-9-1}{3-1/2}[/tex]

[tex]m = \frac{-10}{3-0.5}[/tex]

[tex]m = \frac{-10}{2.5}[/tex]

[tex]m = -4[/tex]

Next, we calculate the equation:

[tex]y - y_2 = m(x - x_2)[/tex]

This gives:

[tex]y - (-9) = -4(x - 3)[/tex]

[tex]y +9 = -4(x - 3)[/tex]

[tex]y +9 = -4x +12[/tex]

Make y the subject:

[tex]y = -4x +12-9[/tex]

[tex]y = -4x +3[/tex]

So,

When y = 7:

We have:

[tex]y = -4x +3[/tex]

[tex]7 = -4x +3[/tex]

Collect Like Terms

[tex]4x = 3 - 7[/tex]

[tex]4x = -4[/tex]

Divide through by 4

[tex]x = -1[/tex]

When x = 0, we have:

[tex]y = -4x +3[/tex]

[tex]y = -4 * 0 + 3[/tex]

[tex]y = 0 + 3[/tex]

[tex]y = 3[/tex]

Answer:

You can't find the area or perimeter with the information given. If this is a calculus level problem then it is possible.

Answer:

5/64 of a cup.

Step-by-step explanation:

Is there two columns of data and two data points? Like this:

Strawberries          Water

384                         30

320                         25

If so, then there are two ways to do it.

1) You can set up a ratio like this

384/30 = 1/x

Where x is the number of cups of water for 1 strawberry.

So,

x = 30/384 of a cup

x = 5/64 of a cup.

2) Look at the increase from one to the other.

64 strawberries requires 5 cups of water

Divide by 5 by 64 to get the water for one strawberry

5/64 of a cup.

Answer:

x = 66.5

x + 1 = 67.5

x + 2 = 68.5

x + 3 = 69.5

x + 4 = 70.5

x + 5 = 71.5

x + 6 = 72. 5

x + 7 = 73.5

x + 8 = 74.5

x + 9 = 84.5

Step-by-step explanation:

Given that :

Age of 10 friends are consecutive integers :

Let the ages be :

x, x+1, x+2, x+3, x+4, x+5, x+6, x+7, x+8, x+9

The sum of their ages = 710

Hence,

x + x+1 + x+2 + x+3 + x+4 + x+5 + x+6 + x+7 + x+8 + x+9 = 710

10x + 45 = 710

10x = 710 - 45

10x = 665

x = 665 / 10

x = 66.5

x + 1 = 67.5

x + 2 = 68.5

x + 3 = 69.5

x + 4 = 70.5

x + 5 = 71.5

x + 6 = 72. 5

x + 7 = 73.5

x + 8 = 74.5

x + 9 = 84.5

Answer:

12 for 6.97 is better

Step-by-step explanation:

for 12 pack

$6.97/12 markers = .58 per marker

for 4 pack

$2.77/4 markers = .69 per marker

thus 12 pack is better, a lower cost per marker

Answer:

12 for $6.97

Step-by-step explanation:

If u get 12 pack for $6.97 its .58 for each marker

If u get 4 pack for $2.77 its .69

And I would prefer to get a 12 pack cuz its cheaper and more markers.

I hope this helped:)

Answer:

12 : 58.8   which simplies to 1 : 4.9

Step-by-step explanation:

Answer:

it increases

Step-by-step explanation:

hope this helps <3

Answer:

The answer is it increases

Step-by-step explanation:

Answer:

12,000

Step-by-step explanation:

There are 1,000 meters in a kilometer. So, if you have 12 kilometers, that's 12,000 meters.

Answer:

12000

Step-by-step explanation:

One kilometer = 100 meters 12 times 1000 = 1200

Answer:

it's 7

Step-by-step explanation:

this needs to be 20 characters long

Answer:

switch the -14 to positive and the add 35+14 and then divide the number you get by 7

Step-by-step explanation:

y=7

Answer:

32 cubes

Step-by-step explanation:

I would first determine the volume in inches of the rectangular prism.

V = 1/3 x 2/3 x 2/3 = 4/27 cubic inches.

Then I would calculate the volume of the cube with 1/6 inch sides

V = 1/6 x 1/6 x 1/6 = 1/216 cubic inches.

Then I would divide the V of the large prism by the V of the small cube

(4/27) / (1/216) = (4/27) * (216/1) = 32 cubes

Answer:

x = 6.22 cm

Step-by-step explanation:

The lines on the sides of the triangle means they are the same length

Since it is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

Substituting what we know

a^2 + a^2 = x^2

a=4.4

(4.4)^2 + (4.4) ^2= x^2

19.36 + 19.36 = x^2

38.72 = x^2

Taking the square root of each side

6.222539674 = x

Rounding to 3 significant figures

x = 6.22 cm

I think it's

1.61x

plsbrainliest if it helped!

Answer:

6 1/2

Step-by-step explanation:

Answer:

6.5 quarts.

Step-by-step explanation:

This is rather simple math because 2 pints equal 1 quart. You divide 13 by 2, which is an uneven number so you are guaranteed a half, and you get 6.5

Answer:

She draw 40 flowers

Step-by-step explanation:

Given

[tex]Length = \frac{1}{5}m[/tex]

[tex]Flower = \frac{1}{200}m[/tex]

Required

Determine the number of flowers

To do this, we simply divide the length of the border by the length of the flower.

[tex]Number = \frac{1}{5}/ \frac{1}{200}[/tex]

Convert to multiplication

[tex]Number = \frac{1}{5}* \frac{200}{1}[/tex]

[tex]Number = \frac{200}{5}[/tex]

[tex]Number = 40[/tex]

Hence, she draw 40 flowers

Answer:

A or B

Step-by-step explanation:

[tex]3.5+m<4.6[/tex]

that's what it means

so if we solve it

[tex]3.5+m-3.5<4.6-3.5\\\\m+0<1.1\\\\m<1.1[/tex]

and now we check

[tex]3.5+(1)<4.6(\:something\:less\:than\:1.1)\\\\4.5<4.6[/tex]

which satisfy

now choose an option

it's either A or B

m<1.1 is the answer if you have to highlight the thing that m is less than then B is your answer

if you have to highlight an option that works then it's A