For a party, you can spend no more than $20 on cakes. Egg cake costs $4 and cream cake costs $2. Write the linear inequality that models the situation.

Answers

Answer 1

Answer:

20≤4x+2y

Step-by-step explanation:

Given data

maximum amount to spend= $20

Egg cake costs $4

Cream cake costs $2

let Egg cake be x

let Cream cake  be y

Hence the total is given by

20≤4x+2y


Related Questions

jan takes her dog for a walk.
she leaves her house at 11:40am and returns at 12:17pm.
how long did the walk take?

Answers

Answer:

37 minutes. :))

Step-by-step explanation:

What is the volume of the following rectangle prism? Plz help

Answers

Answer:

7 2/3 or 7.666

Step-by-step explanation:

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

since we only have two points we have to do

4/3 x 23/4 = 7 2/3 or 7.666

so the answer is 7 2/3 or 7.666

3x + 16 = 136

(3 seconds per item, plus 16 seconds to process payment, equals 136 seconds total.)

Subtract 16 from each side. Then divide both sides by 3.

Answers

Answer:

x = 40

Step-by-step explanation:

If 5 pizzas cost $60, how much will 9 pizzas cost?
10

Answers

Answer:

108

Step-by-step explanation:

do 60 divided by 5 and you get 12 so that = 1 pizza then do

12 x 9 to get 108

Answer:

108

Step-by-step explanation:

60 / 5

1 pizza would cost 12

9 × 12 is 108

Write an equation in slope-intercept form for the line with slope and -intercept .

Answers

Answer:

y = [tex]\frac{2}{5}[/tex] x - 9

Step-by-step explanation:

Expression 10 x (250 + 45) years

Answers

Answer:

2950

Step-by-step explanation:

the answer is 2950 the reason why is if u solve the given problem this is what you get

Answer:

250+45=325 x 10=3250

Step-by-step explanation:

a triangle has side length of 10 inches, 24 inches, and 26 inches. Is the triangle a right triangle?

Answers

Yes, it is a right triangle

Ariel bought 8 balloons for $3.20. Mrs.Torres spent $38.40 on balloons at the same store. How many balloons did Mrs.Torres buy?
A.15
B.96
C.40
D.64

Answers

Answer:

96 because 3.20 divided by 8 is 0.4 and 0.4 times 96 is 38.4

P and q are points on the line y=2-4X

Draw the line y= 2-4X for vales of x from -2 to 2

Answers

Answer:

`The answer is below

Step-by-step explanation:

P and q are points on the line y=2-4X. complete the coordinates of P and Q, P(0, ) Q( ,0)

Draw the line y= 2-4X for vales of x from -2 to 2

Solution:

The equation of a line is given by:

y = mx + b

Where y and x are variables, m is the slope of the line and b is the y intercept (that is value of y when x = 0).

The line of y = 2 - 4x is drawn by finding the corresponding values of y for x from -2 to 2 and plotting on a graph.

x:   -2      -1       0        1        2

y:   10      6       2       -2       -6

The value P(0, ) Q( ,0)

The y coordinate of point P is gotten by substituting x = 0:

y = 2 - 4(0) = 2

P = (0, 2)

The x coordinate of point Q is gotten by substituting y = 0:

0 = 2 - 4x

4x = 2

x = 0.5

Q = (0.5, 0)

HELP The center of a circle is 5 units below the origin, and the radius is 10 units. What is the equation of this circle?


A: x^2 + (y + 5)^2 = 10

B: (x + 5)^2 + y^2 = 10

C: x^2 + (y + 5)^2 = 100

D: (x + 5)^2 + y^2 = 100

Answers

Answer:

the answer is c, x^2+(y+5)^2=100.

Step-by-step explanation:

if you go to a graphing calculator and input the equation, you can count the units and see that that’s the right answer.

i also just took the quiz on edge and got a 100%

Answer:

a

Step-by-step explanation:

just got it right on edge

a
\large 140\frac{1}{2}

b
\large 140\frac{1}{3}

c
\large 141

d
\large 140\frac{3}{4}

Answers

i think the correct answer is b

Help im behind my math class. pls

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

From the given diagram, we can observe that r and s are the two parallel lines intersected by the two transversal lines.

Therefore, the pairs of alternating interior angles formed by the two transversal lines are:

∠1  & ∠5 ∠2 & ∠4∠2 & ∠7 ∠3 & ∠6

We know that alternating interior angles formed by a transversal line are congruent.

Thus,

∠1  = ∠5 ∠2 = ∠4∠2 = ∠7 ∠3 = ∠6

Part a)

Given

m∠1 = 3x + 42

m∠5 = 8x - 8

As

∠1  = ∠5

So

3x + 42 =  8x - 8

flipe the equation

8x - 8 = 3x + 42

subtract 3x from both sides

8x - 8 - 3x = 3x + 42 - 3x

5x - 8 = 42

add 8 to both sides

5x - 8 + 8 = 42 + 8

5x = 50

divide both sides by 5

5x/5 = 50/5

x = 10.0000 (Rounded to four decimal places)

Thus, the value of x = 10.0000 (Rounded to four decimal places)

Part b)

Given

m∠6 = 12°

It is clear that angles ∠6 and angle ∠7 lie on a straight line.

Thus,

The sum of ∠6 and ∠7 is 180°.

∠6 + ∠7 = 180°

substituting m ∠ 6 = 12° in ∠6 + ∠7 = 180°

12° + ∠7 = 180°

subtract 12 from both sides

12° + ∠7 - 12° = 180° - 12°

∠7 = 168°

Thus, measure of angle ∠7 = 168°.

We already know that alternating interior angles formed by a transversal line are congruent.

∠7 and ∠2 are alternating interior angles.

Thus,

∠2 = ∠7

As ∠7 = 168°.

Therefore,

∠2 =  168°

Hence, we conclude that

∠2 =  168°

Two important ingredients for baking bread are yeast and flour. To make a loaf of bread of at most 30 servings, maintain a yeast to flour ratio of 1:200. If you're making a loaf of more than 30 servings, use a ratio of 1:180. If you're making 30 servings of bread and using 0.45 oz of yeast, how many ounces of flour do you need? If you're making 90 servings of bread and using 720 oz of flour, how many ounces of yeast do you need?

Answers

If you're making 30 servings of bread and using 0.45 oz of yeast, how many ounces of flour do you need? ANSWER=90

If you're making 90 servings of bread and using 720 oz of flour, how many ounces of yeast do you need? ANSWER=4

The flour that will be used for 30 servings is 0.90 oz, while the yeast that will be used for 90 servings is 90 oz.

Given to us

To make a loaf of bread of at most 30 servings, maintain a yeast to flour ratio of 1:200.

To make a loaf of bread of more than 30 servings, maintain a yeast to flour ratio of 1:180.

Ratio for 30 Servings

A.)  If We are making 30 servings of bread and using 0.45 oz of yeast,

As it is given that for 30 servings we must maintain a yeast to flour ratio of 1:200, therefore,

[tex]\rm \dfrac{Yeast}{Flour} = \dfrac{1}{200}[/tex]

Using the ratio for 0.45 oz of yeast,

[tex]\rm \dfrac{0.45\ oz}{Flour} = \dfrac{1}{200}[/tex]

[tex]\rm {Flour} = 200 \times 0.45\ oz[/tex]

[tex]\rm {Flour} = 90\ oz[/tex]

Thus, we will use 90 oz of the flour for 0.45 oz of yeast to serve 30 people.

Ratio for 90 Servings

B.)  If We are making 90 servings of bread and using 720 oz of flour,

As it is given that for more than 30 servings we must maintain a yeast to flour ratio of 1:180, therefore,

[tex]\rm \dfrac{Yeast}{Flour} = \dfrac{1}{180}[/tex]

Using the ratio for 720 oz of flour,

[tex]\rm \dfrac{Yeast}{720\ oz} = \dfrac{1}{180}[/tex]

[tex]\rm {Yeast} = \dfrac{720\ oz}{180}[/tex]

[tex]\rm {Flour} = 90\ oz[/tex]

Thus, we will use 90 oz of the flour for 0.45 oz of yeast to serve 30 people.

Hence, the flour that will be used for 30 servings is 0.90 oz, while the yeast that will be used for 90 servings is 90 oz.

Learn more about Ratio:

https://brainly.com/question/1504221

21 of an ice cream company's flavors contain nuts.
How many total flavors does the company make if
30% of them contain nuts?

PLEASE HELP ME! :(

Answers

Answer:

The company has 70 falvors

Which equation represents exponential decay?
O A y = 100(31)
O B. y = 1 (3.1)
C. y = 10(0.13)
D. y = 100(1.03)

Answers

Answer:

The function y = 10(0.13)ˣ represents exponential decay.

Hence, option C is the correct function.

Step-by-step explanation:

We know that an exponential function is of the form

y = abˣ

where 0 < b < 1

Please note that an exponential function cannot have a base of 0, 1, or a negative value.

Now, if we carefully observe, the function y = 10(0.13)ˣ is the only option correct as

here 0 < b < 1 and a > 0

Therefore, the function y = 10(0.13)ˣ represents exponential decay.

Hence, option C is the correct function.

Translate the following expression from a numerical expression to a verbal expression: 5(2n + 7) –3
HELP PLZ

Answers

Answer:

Five times the sum of two times a number plus seven all minus three

Step-by-step explanation:

Rewrite in slope-intercept form.
10x + 2y = 8
Enter your answer in the form y=mx+c
Simplify your answer if possible using integers or simplified fractions. Example: y=3/4x-2
10x+2y=8

Answers

Answer:

y = -5x + 4

Step-by-step explanation:

Solve for y

10x + 2y = 8

2y = -10x + 8

y = (-10x)/2 + 8/2

y = -5x + 4

Mr. Luu spent 15.99 on new flashlights. If 12 students are using flashlights what is the unit cost per student round the answer to the nearest hundreds.

Answers

Answer:

$1.33 per student

Step-by-step explanation:

Mr. Luu spent 15.99 on new flashlights.

Total number of students = 12

We need to find the unit cost per student. It can be calculated by dividing the total cost and the total number of students.

[tex]C=\dfrac{15.99}{12}\\\\C=1.33[/tex]

So, the required cost per student is 1.33.

I need help fast thank you!

Answers

Answer:

the third one

Step-by-step explanation:

There are only red, blue and green counters in a bag.
There are 4 red counters.
There are 5 blue counters.
There is 1 green counter.
Matt takes a counter at random from the bag.
a) What is the probability that the counter is red?
Give your answer as a fraction.
b)
What is the probability that the counter is not blue?
Give your answer as a fraction.

Answers

Answer:

A 4/10

B 5/10

Step-by-step explanation:

A because there are 4 out of the 10 that are red

B because there 5 out of the 10 that are not blue

Find the scale factor

Answers

Answer:

36/x =48/24

36/x =2

2x= 36

x= 36/2

x=18

The quotient of 9 and a number less 4

Answers

Answer:

ead the excerpt from "The Most Dangerous Game,” by Richard Connell.

His foot touched the protruding bough that was the trigger. Even as he touched it, the general sensed his danger and leaped back with the agility of an ape. But he was not quite quick enough; the dead tree, delicately adjusted to rest on the cut living one, crashed down and struck the general a glancing blow on the shoulder as it fell; but for his alertness, he must have been smashed beneath it. He staggered, but he did not fall; nor did he drop his revolver. He stood there, rubbing his injured shoulder, and Rainsford, with fear again gripping his heart, heard the general's mocking laugh ring through the jungle.

Which analysis best explains the effect of adding the female character

Step-by-step explanation:

The length of a rectangle is eight more than twice it's width. the perimeter is 96 feet. find the dimensions

Variables:


equation:



Solution:​

Answers

Answer:

the length and width be 13.33 feet and 34.67 feet respectively

Step-by-step explanation:

The computation is shown below:

Let us assume the width be x

So, the length be 2x + 8

As we know that

The perimeter of the rectangle = 2(length + width)

96 = 2(2x + 8 + x)

96 = 4x + 16 + 2x

96 - 16 = 6x

80 = 6x

x = 80 ÷ 6

= 13.33 feet

So, the length would be

= 2 × 13.33 + 8

= 34.67 feet

Hence, the length and width be 13.33 feet and 34.67 feet respectively

Please answer hurry I’m times

Answers

Question 19 is B. Not sure about 20 though sorry

What is 124% of 20? Pls help meeeeeeee

Answers

Answer:  24.8

Step-by-step explanation: Hope that helps

The cost of 3 boxes of envelopes and 4 boxes of notebook paper is $13.25. Two boxes of envelopes and 6 boxes
of notebook paper cost $17. Find the cost of each. 8.
(Need step by step please!)

Answers

Answer:

Step-by-step explanation:

E for Envelopes

N for Notebook Paper

3E + 4N = $13.25

2E + 6N = $17

N = $2.45

E = $1.15

please help thank you so much

Answers

Answer:

Q=63 degrees

Step-by-step explanation:

R=60 degrees

since T=123 degrees, S=180-123=57 degrees

There is 180 degrees in a triangle

Q=180-60-57

Q=63 degrees

please answer the following

Answers

Make the students section to 20 and the adults section to 4

Lattice has £15000 in a savings account at the start of the year. How much will she have at the end of the year if the annual interest rate is 7.5%?

Answers

Answer:

£13 875

Step-by-step explanation:

first you have to find out how much is 7.5% of 15 000 and you find it by calculating 0,075 times 15 000 which becomes 1 125. then you take out  that answer from your first answer which is 15 000 - 1 125= 13 875

What is the complete factorization of 8x2 − 8x + 2?


A. 2(4x − 1)2

B. 8(x − 1)(x + 1)

C. 2(2x − 1)2

D. 2(x − 2)(x + 2)

Answers

Answer:

Step-by-step explanation:

8x^2 - 8x + 2

2(4x^2 - 4x + 1)

2(2x - 1)(2x - 1) or 2(2x - 1)^2

answer is C

The complete factorization of [tex]8x^2 - 8x + 2[/tex] will be  [tex]2(2x-1)^2[/tex] .

What is factorization ?

Factorization is a process consists of writing a number or another mathematical object as a product of several factors solving it into other factors.

We have,

[tex]8x^2 - 8x + 2[/tex]

Using the mid term splitting method;

[tex]=8x^2-4x-4x+2[/tex]

[tex]=4x(2x-1)-2(2x-1)[/tex]

[tex]=(4x-2)(2x-1)[/tex]

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

[tex]=2(2x-1)^2[/tex]

So, the factorization of the given expression is given in option [tex](c)[/tex]  i.e.   [tex]2(2x-1)^2[/tex] .

Hence, we can say that the complete factorization of [tex]8x^2 - 8x + 2[/tex] will be  [tex]2(2x-1)^2[/tex] .

To know more about factorization click here

https://brainly.com/question/11994062

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