The cost of 10 donuts and 2 cakes is the same. If the cost of 3 cakes and 5 donuts is $8, find the cost of a cake.

Answers

Answer 1

Answer:

$2

Step-by-step explanation:

Let the cost of a donut and a cake be $d and $c respectively.

10d= 2c

Dividing both sides by 2:

5d= c -----(1)

3c +5d= 8 -----(2)

Substitute (1) into (2):

3c +c= 8

Simplify:

4c= 8

Divide both sides by 4:

c= 8 ÷4

c= 2

∴ The cost of a cake is $2.


Related Questions

What is the slope of the line? Khan academy

Answers

2/1. Move 2 spaces up. 1 right

Multiply (5x + 3) by (2x + 6) using the box method.

Answers

Answer:

10x² + 36x + 18

Step-by-step explanation:

(5x + 3) (2x + 6)

10x² + 30x + 6x + 18

10x² + 36x + 18

The browns are moving across the counrty. Mr. Brown leaves 2.5 hours before Mrs. Brown, if he averages 75 mph and she averages 85 mph, how many hours will it take Mrs. Brown to catch up to Mr. Brown?

Answers

Answer:

the time taken by Mrs Brown to catch up is 18.75 hours

Step-by-step explanation:

Given;

average speed of Mr Brown = 75 mph

average speed of Mrs Brown, = 85 mph

time first traveled by Mr Brown = 2.5 hours

The distance traveled by Mr Brown before Mrs Brown start her own Journey;

D = speed  x time

D = 75 mph x 2.5 h

D = 187.5 miles

Let the time taken by Mrs Brown to catch up = t

(85 - 75)t = 187.5

10t = 187.5

t = 18.75 hours

Check:

after 18.75 hours:  Mrs Brown will travel ⇒ 18.75 x 85 = 1593.75 miles

after (2.5 h + 18.75h) : Mr Brown will travel ⇒ 21.25 x 75 = 1593.75 miles

Haley is camping and needs to go from the campground to the waterfall. She hikes 3 miles north and 7 miles east. What is the shortest distance from the campground to the waterfall?

Answers

Answer:

7.61 miles

Step-by-step explanation:

Given that,

Haley hikes 3 miles north and 7 miles east.

We need to find the shortest distance from the campground to the waterfall. Let the distance is D.

It can be calculated as follows :

[tex]D=\sqrt{3^2+7^2}\\D=7.61\ miles[/tex]

So, the shortest distance from the campground to the waterfall is 7.61 miles.

A. 24
B. 12
C. 14
D. 16

Answers

Answer:

I believe it is C, 14. sorry if its wrong! ^^"

Step-by-step explanation:

Answer:

D. 16

Step-by-step explanation:

the scale factor says it all

PR = 15 PQ = 8 AC = 30

meaning each side length from the bigger triangle is twice as larger than the other triangle

What is the area of the trapezoid shown below?​

Answers

Answer:

18 units²

Step-by-step explanation:

Solve for height:

4² + x² = 5²

16 + x² = 25

9 = x²

x = 3

Solve for area:

Formula = (base1+base2)h / 2

(4 + 8)* 3 ÷ 2

12 * 3 ÷ 2

36 / 2 = 18

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

solving system by substitution Help ASAP

Answers

Answer:

c is 3

d is 10

Step-by-step explanation:

see photo :)

Answer:

Hello answer:

c = 3

d = 10

Step-by-step explanation:

2 × c = 6 6 + 4 = 10

10 × 3 = 30 c × 2 = 6 30 + 6 = 36

Check the functions whose inverses are also functions.

On a coordinate plane, an absolute value function opens down.

On a coordinate plane, an exponential functions increases from quadrant 2 into quadrant 1.

On a coordinate plane, a cubic function has an x-intercept of (0, 0).

Answers

Answer:

b and c

Step-by-step explanation:

Answer:

Hands down c and b

Step-by-step explanation:

Can someone please help for this question?

Answers

Write the conditions in algebra.
x = y + 2
3x + 4y = 8x - 20
From the first equation y = x - 2. Substitute for y in the second equation.
3x + 4(x - 2) = 8x - 20
3x + 4x - 8 = 8x - 20
7x = 8x - 12
So x = 12

You should always check your answers for simultaneous equations
y = 10 because x = y + 2
3 x 12 + 4 x 10 = 8 x 12 - 20?
36 + 40 = 96 - 20. This is true!

For a multi choice problem it would be faster to just try each value until one works


there are 6 pink beads and 44 purple beads on olives necklace. What is the ratio of the number of pink beads to the total number beads.

Answers

Answer:

Step-by-step explanation:

3:22

Answer:

6/50

Step-by-step explanation:

using probability

pink beads = 6

total beads = 44 + 6

= 50

6/50

3/25

therefore ratio

3 : 25

WILL GIVE BRAINLIST


WRITE THE PHRASE AS A VARIABLE EXPRESSION. USE X TO REPRESENT “a number”



THE PRODUCT OF 4 AND A NUMBER





Answers

Answer:

4 × x

Step-by-step explanation:

Variable x = a number

Product = multiplication

Set up an equation:

4 × x

Solve
4(-5)(-2)(-3)
show your work<3
no links

Answers

Answer:

-120

Step-by-step explanation:

4(-5)(-2)(-3)

= -20 × 6

= -120 (Ans)

Answer:

-120

Step-by-step explanation:

lots of approaches here

suggest saying that there are 3 (odd) number of negative signs

so the answer is negative (-)

5*4 = 20

20*2 = 40

40*3 = 120

we determined that the answer has to be negative

-120

can a theorem easily be proved by using corollary

Answers

Answer:

Yes, of course

Step-by-step explanation:

Corollary simply means the similar case or alike. So we can apply same theorem. Although it may be lengthy and bit tricky but its easy to prove.

Question 9 of 10
In the diagram below, AB is parallel to CD. What is the value of y?
A. 50
OB. 150
ООО
C. 30
D. 60

Answers

Answer:

30°

Step-by-step explanation:

it is the alternating angle.

Juan has 2 1/4 L of fruit purée Juan uses 3/8 leader from pier to make once movie which expression can be used to find the number of movies you can make

Answers

Answer:

See explanation

Step-by-step explanation:

Total fruit purée = 2 1/4 L

purée for One movie = 3/8 L

which expression can be used to find the number of movies you can make

Number of movies you can make = Total fruit purée ÷ purée for One movie

= 2 1/4 ÷ 3/8

= 9/4 ÷ 3/8

= 9/4 × 8/3

= (9*8) / (4*3)

= 72 ÷ 12

= 6

Number of movies you can make = 6

On the first day of camp,
5/8 of the skaters were beginners. Of the beginners, 2/6 were girls. What fraction of the skaters were girls and beginners? Complete the explanation.

Answers

Answer:

5/24.

Step-by-step explanation:

2/6 of 5/8 were beginners and girls

= 1/3 * 5/8

= 5/24.

Find the area VALUE of each figure below with the following measurements

Answers

Answer:

the answer is 180cm for the rectangle

the answer is 126cm for the triangle.

the answer is 880ml for the rectangle.

Step-by-step explanation:

first diagram (rectangle)

area=l×b

15×12

180cm

second diagram(triangle)

area =

[tex] \frac{1}{2} \times l \times b \\ \frac{1}{2} \times 14 \times 18 \\ = 7 \times 18 \\ 126cm[/tex]

third diagram( rectangle)

area=

[tex]l \times b \\ \\ 44 \times 20 \\ 880ml[/tex]

The blueprint of a deck has a scale of 2 centimeters equals 9 feet. The scale drawing is shown below.
8 cm
10 cm
6 cm
Part A
What are the actual lengths of the sides of the deck?
6 cm
8 cm =
10 cm =
Part B
Decking costs $1.75 per square foot. How much will it cost to build the deck?

Answers

Answer:

27

36 ft

45 ft

$189

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

original dimension = (8 x 9) / 2 = 36

(10 x 9) / 2 = 45

(6 x 9) / 2 = 27

cost of deck = sum of sides x cost per square feet

sum of sides = 36 + 27 + 45 = 108

108 x 1.75 = 189

the volume of this triangular prism is ….. cubic inches. please someone help, will give brainliest asap just explain how❤️❤️❤️❤️❤️

Answers

Answer:

I think the answer is 278.85

Step-by-step explanation:

Answer:

278.85

Step-by-step explanation:

I need to find the area

Answers

Answer:

781

Step-by-step explanation:

you need to separe the two shapes, find the area of both, then add

Answer:

Hello! answer: 781

Step-by-step explanation:

There's multiply ways to solve this but What im going to do is find the area of the whole thing as if it didnt have a huge chuck cut out of it then i will find the area of that separately and subtract so...

41 × 29 = 1189

29 - 12 = 17

17 × 24 = 408

1189 - 408 = 781 therefore the area is 781 Hope that helps!

Can someone help me complete this worksheet please and thank you it’s all multiple choice

Answers

Answer:

1. D 12.8 cm

2. B 4.2 m

3. A 9.59

4. A 6.95

5. B 17.5 cm

PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

17m-7

Step-by-step explanation:

product means multiplication so we multiply 17 times m.

17m

and 7 less than 17m is subtraction

17m-7

Answer:

17m-7

Step-by-step explanation:

m = The height

7 less than the product ( Multiply) 17 and m.

so 17m-7

Find the volume of the triangular prism as pictured below with a = 7 cm, b = 4
cm, c = 3 cm, and d = 8 cm. Do not include units in your answer.

Answers

Answer:

48

Step-by-step explanation:

Volume of triangular prism = Base Area × length of prism

Base area = ½*base*height

base = c = 3 cm

height = b = 4 cm

Base area = ½*3*4 = 6 cm²

Length of prism = d = 8 cm

Therefore,

Volume = 6 × 8 = 48 cm³

Math help please and thank you

Answers

Answer:

Both m^2 and cm^2 are given below. Take your pick.

Step-by-step explanation:

Area = L * W

L = 1.57 m * 100 cm / 1 meter = 157 cm

W = 45 cm

Area = 157 cm * 45 cm = 7065 cm^2

In meters, the width would be 45 cm * 1 m / 100 cm = 0.45 m

Area = L * W

L = 1.57 m

W = 0.45 M

Area = 1.57 * 0.45

Area = 0.7065 m^2

If two heterozygous individuals are crossed, what
percent of their offspring are also expected to be
heterozygous?

Complete the punnet square plssssss

Answers

Answer:

50%

Step-by-step explanation:

Example of Aa crossed with Aa (both hetero).

Outcomes are:

AA (homo)

Aa (hetero)

aA (hetero)

aa (homo)

So the ratio of hetero to all outcomes = 2:4 = 50%

If using the method of completing the square to solve the quadratic equation
x^2– 10x + 21 = 0, which number would have to be added to "complete the
square"?

Answers

Answer: 25

Step-by-step explanation: The number that is added to both sides is the number that is needed to create a perfect square trinomial.

The question is, what is that number?

Well, it comes from a formula. The number that is added to both sides always comes from half the coefficient of the middle term squared.

So half of -10 squared or -5 squared which is 25.

So 25 is added to both sides.

simplify by adding like terms 3xy+2m+9-xy+3m-4​

Answers

Answer:

Step-by-step explanation:

3xy +2m +9 -xy +3m -4

add and subtract like terms

=3xy-xy+2m+3m+9-4

=2xy+5m+5

Answer:

2xy+5m+5

Step-by-step explanation:

3xy+2m+9-xy+3m-4=(3xy-xy)+(2m+3m)+(9-4) =2xy+5m+5

Carson invested $80,000 in an account paying an
interest rate of 5% compounded continuously.
Makayla invested $80,000 in an account paying an
interest rate of 4% compounded daily. To the
nearest dollar, how much money would Carson have
in his account when Makayla's money has tripled in
value?

Answers

Answer:

315881.53

Step-by-step explanation:

We first need to figure out how long it takes for the money to triple

let x= number of years it takes for the money to tirple

[tex]3=(1+\frac{.04}{365})^{365x}\\log_{1.0001}3=365x\\10025.38644=365x\\27.46681216=x[/tex]

Now plug that value into the continously compounding formula

[tex]80000*e^{27.4668*.05}=315881.5314[/tex]

Which rounds to

315881.53

Four students equally shared 1/2 pan of brownies. What fraction of the whole pan of brownies did each brother get

Answers

2 pan......................

.................

Answer:

1/8 of the whole pan

Step-by-step explanation:

Multiply the brothers by 2 to get 8 brothers for 1 whole pan of brownies now what fraction of the pan does each brother get. This method will get the answer 1/8.

Find the final price of a $849.99
laptop with 6% sales tax.

Answers

Answer:

$900.9

Step-by-step explanation:

Find the final price of a $849.99

laptop with 6% sales tax.

Given data

Price= $849.99

Tax = 6%

Let us find the amount of the tax

=6/100*849.99

=0.06*849.99

=$50.9994

Now the final price is

=50.9994+849.99

=$900.9

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