You are at the store, and are trying to remember how much bread, meat, and cheese you were supposed to buy. The bread costs $1 per loaf, the meat costs $4 per pound, and the cheese costs $3 per pound. You know that you are to buy eight items, that the total cost will be $17, and that you are supposed to purchase three times as much cheese as meat. How many of each do you need to purchase?

Answers

Answer 1

Answer:

4 bread loafs, 1 pound of meat, 3 pounds of cheese

Step-by-step explanation:

Let loaf of bread be b, meat be m and cheese be c

Based on the given, we have following equations:

b + m + c = 8c = 3mb + 4m + 3c = 17

Subtract the first equation from the third and substitute c with m:

b + 4m + 3c - (b + m + c) = 17 - 83m + 2c = 93m + 2(3m) = 99m = 9m = 1

Then

c = 3*1 = 3b = 8 - (1 + 3) = 4


Related Questions

If ∠ABC = ∠FBI, then m∠ABC − m∠FBI = 180◦ True or False

Answers

Answer:

false?

Step-by-step explanation:

Answer:

false I think but I'm not completely sure

A lifeguard is in an observation chair and spots a person who needs help. The angle of depression to the person is 22°. The eye level of the lifeguard is 10 feet above the ground. What is the horizontal distance between the lifeguard and the person? Round to the nearest foot.

Answers

Answer:

The horizontal distance between the lifeguard and the person is approximately 24.751 feet.

Step-by-step explanation:

At first we include a geometrical representation of the statement, which is shown in the image attached below. We can determine the horizontal distance between the lifeguard and the person by means of the following trigonometrical relationship:

[tex]\tan \theta = \frac{OL}{OP}[/tex] (1)

Where:

[tex]\theta[/tex] - Angle of depression to the person, measured in sexagesimal degrees.

[tex]OL[/tex] - Height of the lifeguard above the ground, measured in feet.

[tex]OP[/tex] - Horizontal distance between the lifeguard and the person, measured in feet.

If we know that [tex]OL = 10\,ft[/tex] and [tex]\theta = 22^{\circ}[/tex], then the horizontal distance between the lifeguard and the person is:

[tex]OP = \frac{OL}{\tan \theta}[/tex]

[tex]OP = \frac{10\,ft}{\tan 22^{\circ}}[/tex]

[tex]OP \approx 24.751\,ft[/tex]

The horizontal distance between the lifeguard and the person is approximately 24.751 feet.

write a function rule for the nth term of each arithmetic sequence

1=6,11,16,21...
2=-7,-15,-23,-31....
3=-7.6,-9.6,-11.6,-13.6......​

Answers

Answer:

radinda9124 i will answer wait

Anderson Middle School received 37 tickets to next week's ball game. The tickets were given out to the 5 sixth grade classes. How many tickets were given to each grade? and How many were left over?

Answers

Answer:

7 tickets given to each class, 2 left over

Step-by-step explanation:

You can divide 37 by 5 to get 2 remaining.

EX: 37 / 2 = 7 r2

Sally bought shirts and pants for school. She bought a total of 8 items. Each pair of pants cost $28, and each shirt cost $12. She spent a total of $144. How many pairs of pants did Sally buy? How many shirts did she buy?

Answers

Answer:

3 pants and 5 shirts

Step-by-step explanation:

x+y=8

28x+12y=144

-12x-12y=-96

16x=48

x=3

Which decimals written in expanded form are greater than 5.3? Check all that apply. 5 + 0.3 + 0.00 5 + 0.3 + 0.001 (5 × 1) + (2 × 0.1) + (9 × 0.01) (5 × 1) + (3 × 0.1) + (3 × 0.01) (6 × 1) + (2 × 0.1) + (1 × 0.01)

Answers

Answer:

Any number in form of x.y = x (1) + 1/10 (y)

where x = 5 & y > 3 , or x > 5

Step-by-step explanation:

Expanded form of 5.3 = 5 (1) + 3 (1/10)

Some decimals written in expanded form that are greater than 5.3    :

5 (1) + 4 (1/10) = 5.4

6 (1) + 2 (1/10) = 6.2  

What is the solution to the system?

Answers

Answer:

last one

Step-by-step explanation:

because it shows that its negitive

What are two numbers that are 4 away from zero on a number line?

Answers

Answer:

4 and -4

Step-by-step explanation:

Because 4 to the left of 0 is negative and 4 to the right is positive

Answer:

The two numbers are: -4 and +4 (or just 4)

I HOPE THIS HELPS

A bathtub contains 12 gallons of water. With these 12 gallons, the bathtub is only 30% full. How many gallons of water can the bathtub hold when it is completely full?

Answers

Answer:

40 gallons

Step-by-step explanation:

Let the number of gallons that would completely fill the bathtub be represented by N.

Since 12 gallons of water gives 30% of the number of gallons to fill the bathtub, then;

30% of N = 12

[tex]\frac{30}{100}[/tex] x N = 12

30N = 12 x 100

30N = 1200

divide both sides by 30,

N = [tex]\frac{1200}{30}[/tex]

   = 40

The number of gallons that would completely fill the bathtub is 40 gallons.

There was 4/5 of a cake sitting on the counter. Daryl ate 1/3 of the left over cake. How much cake was left over after he ate?

Answers

Answer:

7/15

Step-by-step explanation:

find a common demonator for example 15

you would do 4x3 for 12 and 5x3 for 15 so your first fraction would be 12/15

for the second fraction you will do 1x5 and 3x5 so your fraction would be 5/15

then you just subtract.

Answer:

7/15

Step-by-step explanation:

4/5 - 1/3. Change the denominators to 15, do they same to the numerators which is multiply by 5. You then have 12 minus 5 = 7. So 7/15.

Eduardo mixed 5 pounds o cashews and almonds. Cashews cost $8 per pound and almonds cost $6 per pound. The total cost of the mixture was $33. How much of the mixture was almonds?

Answers

Answer:

3.5 pounds of the mixture was almonds

Step-by-step explanation:

Assume that the mixture contains x pounds of cashews and y pounds of almonds

∵ x represents the amount of cashew

y represents the amount of almond

∵ Eduardo mixed 5 pounds of cashews and almonds

x + y = 5 ⇒ (1)

∵ Cashews cost $8 per pound

∵ Almonds cost $6 per pound

∵ The total cost of the mixture was $33

→ Multiply x by 8 and y by 6 and equate their sum by 33

8x + 6y = 33 ⇒ (2)

Now we have a system of equations to solve it

→ Multiply equation (1) by -8 to eliminate x

∵ -8(x) + -8(y) = -8(5)

-8x - 8y = -40 ⇒ (3)

→ Add equations(2) and (3)

∵ (8x + -8x) + (6y + -8y) = (33 + -40)

∴ -2y = -7

→ Divide both sides by -2

y = 3.5

∵ y represents the amount of almond

3.5 pounds of the mixture was almonds

Find the slope of the line going through the points (1,3) and (4,9) The slope of the lines is m = (For example, slope -2)​

Answers

(9-3)/(4-1)= 6/3 = 2
Slope: m = 2

Mr. Thomson created a mosaic tile in the
shape of a square to place in his kitchen.
9 in.
9 in
Which is closest to the length of the
diagonal of the tile?
A. 10 inches
B. 13 inches
C. 15 inches
D. 17 inches

I’ll give Brainlest if it’s right!!

Answers

Answer:

C

step by step

ithink so

Determine the type of triangle that is drawn below.

Answers

Answer:

Isosceles Right

Step-by-step explanation:

Help me please and thanks

Answers

Answer:

3/-4 or -0.75 is the answer

Step-by-step explanation:

hope this is the right answer if it isnt sorryy

Find the value of x.
X
127X

Answers

Answer:

127

Step-by-step explanation:

x=127

corresponding angles

Please help i will mark branliest
Given a triangle on a coordinate plane, Steve found its circumcenter. How can he check the answer?
Use midpoint formula to find the midpoint of each side

Use distance formula to verify that each vertex is equidistant from the circumcenter

Use distance formula to verify that each side is equidistant from the circumcenter

There is no way to verify the coordinates of the circumcenter
Given a triangle on a coordinate plane, Kim found its incenter. How can she check the answer?
Use distance formula to verify that each side is equidistant from the incenter

Use midpoint formula to find the midpoint of each side

There is no way to verify the coordinates of the incenter

Use distance formula to verify that each vertex is equidistant from the incenter

Answers

Answer:

ihnc

Step-by-step explanation:

ihnc

Answer:

The answer is D - Use distance formula to verify that each vertex is equidistant from the incenter.

Step-by-step explanation:

I know because I just toke the test and got it right.

If 1 droplet of water falls from a pipe every 10 seconds. How many droplets of water would have fallen 6 minutes?

Answers

Answer:

36

Step-by-step explanation:

60 seconds in one minute = 6 drops times 6 equals 36

Answer:

36 droplets of water in 6 minutes

Step-by-step explanation:

If there are 60 seconds in a minute, and one droplet of water falls in the pipe every 10 seconds then you would need to divide.

The first step is to divide 60 by 10. The answer will be 6. This means that six droplets will fall for every minute.

60/10 = 6

This gives us a unit rate to work with.

6:1 or [tex]\frac{6}{1}[/tex] or 6 droplets per minute

All you have to do is multiply.

[tex]\frac{6}{1} * 6[/tex] (the minutes)

Your answer should be 36 droplets of water have fallen into the pipe in 6 minutes.

Best of Luck!

A pair of boots are $94.99. They are 25% off. With this
discount, what is the sale price? Round to nearest
cent if necessary.

Answers

Answer: $71.24

Explanation:

When finding a discount price, we can set up two fractions to equal each other.

- x/94.99 and 75/100 (use 75 because you are taking off 25 from the total)

-cross multiply 100x=7124.25

- solve for x, x= 71.24

If there are 25% discount on the pair of shoes, then the sale price of boots are, $71.24

What is the sale price ?

Sale price refers to the price at which a product or service is offered for sale after a discount or reduction from its original or regular price. Sale price is a promotional tool used by retailers to encourage customers to purchase products or services by offering them at a lower price than their regular price. The purpose of a sale price is to increase sales and generate revenue, as well as to clear inventory, attract new customers, and increase brand awareness. The calculation of sale price is typically performed by subtracting a certain percentage or dollar amount from the original or regular price.

Given that,

The boots are $94.99 and are 25% off,

so the discount amount is

⇒ $94.99 x 0.25 = $23.75.

The sale price of the boots is

⇒ $94.99 - $23.75

⇒ $71.24

Rounded to the nearest cent, the sale price is $71.24

To know more about Sale Price check:

https://brainly.com/question/20418815

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Evaluate:
(4/25)^1/2 in fraction

Answers

Answer:

As

[tex]\left(\frac{4}{25}\right)^{\frac{1}{2}}=\frac{2}{5}[/tex]

Therefore,  option C is true.

Step-by-step explanation:

Given the expression

[tex]\left(\frac{4}{25}\right)^{\frac{1}{2}}[/tex]

as

[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}[/tex]

so the expression becomes

[tex]\left(\frac{4}{25}\right)^{\frac{1}{2}}=\frac{4^{\frac{1}{2}}}{25^{\frac{1}{2}}}[/tex]

          [tex]=\frac{4^{\frac{1}{2}}}{25^{\frac{1}{2}}}[/tex]

          [tex]=\frac{2}{25^{\frac{1}{2}}}[/tex]

            [tex]=\frac{2}{5}[/tex]

Hence,

[tex]\left(\frac{4}{25}\right)^{\frac{1}{2}}=\frac{2}{5}[/tex]

Therefore,  option C is true.

Answer:

The answer is C

Step-by-step explanation:

I just took the A pex test and got the question right.

You might want to clean your screen lol

Hope this helps! Have a wonderful day <333

Evaluate the expression for z = –8.

–2z =

Answers

Answer:

Z = - 8/3.

Make brainlist please

to the nearest whole degree, what is the measure of Angle z ​
A. 41°
B. 47°
C. 51°
D. 57°

Answers

Answer:

51°

Step-by-step explanation:

you just have to add all the numbers and subtract it by two

Answer:

51

Step-by-step explanation:

Jinni opened a bank account. She deposited $87.60 into her account every month for 10 months. She used $25.60 every month to pay for music classes. After 10 months, she used 1 over 4 of the total money left in her account to go to a summer camp for musicians. What is the total amount of money Jinni spent to go to the summer camp? (5 points)

Group of answer choices

$64.00

$88.00

$155.00

$620.00

Answers

It’s 155.00that the answer

Answer:

$155.00

Step-by-step explanation:

Based on the given information, which conjecture is invalid?


Given: Amber has a pet with four legs.

a)Amber has a hamster.


b)Amber has a cat.


c)Amber has a parakeet.


d)Amber has a dog.

Answers

The answer is C.
C is the only answer that doesn’t name an animal that has 4 legs.

1). Aziz has a job mowing lawns in the summer. The graph below shows the amount of earnings, in dollars, based on the number of lawns Aziz mows. Enter an equation to represent the amount of earnings, e, in dollars, that Aziz makes in terms of the number of lawns, n, that he mows.

Answers

Answer:

The equation that represents the amount that Aziz earns for the number of lawn he mows is e = 15.875 × n

Step-by-step explanation:

From the graph, we have;

For the point where n = 4, we have e ≈ 63.5

Therefore, we have;

The slope = Δn/Δe = 63.5/(4) = 15.875

The coordinates of the points plotted on the graph are as follows;

n = 0, e = 0, therefore, the y-intercept is 0, and y = slope × x

n = 1, e = 1 × 0.79375 = 15.875

n = 2, e = 2 × 15.875 = 31.75

n = 3, e = 2 × 15.875 = 47.625

n = 4, e = 4 × 15.875 = 63.5

We have, e = 15.875 × n

Where, n represents the number of lawns Aziz mows, and n represents the amount of earnings Aziz makes in dollars

Therefore, the equation that represents the amount that Aziz earns for the number of lawn he mows is e = 15.875 × n

Identify the equation of the line graphed below.

Answers

Answer:

B

Step-by-step explanation:

this is the correct awnser because the thingy is y-y¹=slope(x-x¹) so for y¹ it would be 2 and that gives away the awnser. because all of the other ones have different numbers if the minus sign is an addition sign it mean that the y¹ is negative which it isnt.

how you would find the y¹ is you look on the y-axis and see where the line goes through perfectly which is the positive 2

Hope this helps!

and isn't to complicated

The scale factor of two similar polygons is 2:3. The perimeter of the larger polygon is 150 centimeters. What is the perimeter of the smaller polygon?

Answers

it’s 71 because without 72 u can’t get 71 and with that being said 61+800=2222

The perimeter of the smaller polygon from the given ratio is 100 centimeters.

What is scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

Given that, the scale factor of two similar polygons is 2:3.

The perimeter of the larger polygon is 150 centimeters.

Let x be the perimeter of the smaller polygon.

Now, 2/3 =x/150

⇒ x=100 centimeters

Therefore, the perimeter of the smaller polygon is 100 centimeters.

To learn more about the scale factor visit:

https://brainly.com/question/22312172.

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Four less than twice a number is twenty four.

Answers

Answer:

4-2x=24

24-4=20

x=10

Step-by-step explanation:

please help me i give brainliest
the question is if you can’t see it “If 2 ringtones cost $6, and the cost of 3 ringtones is $9 how can you setup a proportion to compare two ratios? Use the graphic organizer below to set up your proportion!”

Answers

Answer:

I think

2 ring.... = $6

3ring..... = $9

1rings = 6/2 = 3

Step-by-step explanation:

For ratio you can write

2/6 = 3/9

Answer will be

1/3

Ratio is kinda rate for buying stuff, like comparison too

Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.

Answers

Try to draw run and rise right now
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