answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
EleoNora [17]
2 years ago
11

Sharonda uses a blend of dark chocolate and milk chocolate to make the ice cream topping at her restaurant. She needs to buy 120

\,\text{kg}120kg120, start text, k, g, end text of chocolate in total for her next order, and her recipe calls for twice the amount of dark chocolate as milk chocolate. Let ddd be the number of kilograms of dark chocolate she buys and mmm be the number of kilograms of milk chocolate she buys.
Mathematics
1 answer:
White raven [17]2 years ago
4 0

Step-by-step explanation:

ATQ,

Let d be the number of kilograms of dark chocolate she buys and m be the number of kilograms of milk chocolate she buys.

She needs to buy 120 kg of chocolate in total for her next order, and her recipe calls for twice the amount of dark chocolate as milk chocolate.

So,

m = 2d .....(1)

m + d = 120 ...(2)

We can also solve the above equations,

Put m = 2d in equation (2)

2d + d = 120

3d=120

d = 40

Put d = 40 in equation (1)

m = 2(40)

m = 80

Hence, she will need 40 kg of dark chocolate and 80 kg of milk chocolate.

You might be interested in
Two containers are mathematically similar.Their volumes are 54cm³ and 128cm³.The height of the smaller container is 4.5cm.Calcul
alexira [117]

Answer:

6 cm

Step-by-step explanation:

If the linear scale factor of two solids is k, then the volume scale factor is k^3.

The volume scale factor is 128/54 = 64/27 = (4/3)^3.

The linear scale factor is 4/3.

4.5 cm * 4/3 = 6 cm

Answer: The height of the larger container is 6 cm.

8 0
2 years ago
Devon purchased a new car valued at $16,000 that depreciated continuously at a rate of 35%. Its current value is $2,000. The equ
irga5000 [103]

I hope the equation will be 2000=16000(1-r)^t because t is missing in the equation which we need to find.

Given rate: r= 35%= 0.35.

So, first step is to plug in 0.35 for r in the given formula to get the value of t.

Hence, the equation will be:

2000=16000(1-0.35)^t

2000=16000(0.65)^t (By subtraction)

2000/16000= 16000(0.65)^t /16000 (Dividing each sides by 16000)

0.125 = 0.65^t (By simplifying).

log 0.125 = log 0.65^t (Taking log each sides to isolate t).

log 0.125 = t log 0.65 (By applying the log property).

\frac{log 0.125}{log 0.65} =t (Dividing each sides by log 0.65)

-0.903/-0.187 =t

t= 4.83

t= 5 ( Rounded to nearest integers)

So, Devon's car is 5 years old.

7 0
2 years ago
Question 6 (5 points)
andrew-mc [135]

Answer:

2/3

Step-by-step explanation:

if max runs 2 hours she will have 3 because 1 hour 30 times 2 is 3 hours

8 0
2 years ago
Solve x2 + 6x = 7 by completing the square. Which is the solution set of the equation?
Ber [7]
So first you have to find the perfect square that matches up with x^2 + 6x

so half of 6, and square it. your perfect square is 9

x^2 + 6x + 9 = 7 + 9

then, condense the left side of the equation into a squared binomial:

(x + 3)^2 = 16

take the square root of both sides:

x + 3 = ± √16

therefore:

x + 3 = ± 4

x = - 3 ± 4

so your solution set is:

x = 1, -7
7 0
2 years ago
Read 2 more answers
A random draw is being designed for 210 participants. A single winner is to be chosen, and all the participants must have an equ
Over [174]

Answer: The correct number of balls is (b) 4.

Step-by-step explanation:  Given that a single winner is to be chosen in a random draw designed for 210 participants. Also, there is an equal probability of winning for each participant.

We are using 10 balls, numbered through 0 to 9. We are to find the number of balls which needs to be picked up, regardless of order, so that each of the 210 participants can be assigned a unique set of numbers.

Let 'r' represents the number of balls to be picked up.

Since we are choosing from 10 balls, so we must have

^{10}C_r=210.

The value of 'r' can be any one of 0, 1, 2, . . , 10.

Now,

if r = 1, then

^{10}C_1=\dfrac{10!}{1!(10-1)!}=\dfrac{10!}{1!9!}=\dfrac{10\times 9!}{1\times 9!}=10

If r = 2, then

^{10}C_2=\dfrac{10!}{2!(10-2)!}=\dfrac{10!}{2!8!}=\dfrac{10\times 9\times 8!}{2\times 1\times 8!}=45

If r = 3, then

^{10}C_3=\dfrac{10!}{3!(10-3)!}=\dfrac{10!}{3!7!}=\dfrac{10\times 9\times 8\times 7!}{3\times 2\times 1\times 7!}=120

If r = 4, then

^{10}C_4=\dfrac{10!}{4!(10-4)!}=\dfrac{10!}{4!6!}=\dfrac{10\times 9\times 8\times\times 7\times 6!}{4\times 3\times 2\times 1\times 6!}=210.

Therefore, we need to pick 4 balls so that each participant can be assigned a unique set of numbers.

Thus, (b) is the correct option.

4 0
2 years ago
Read 2 more answers
Other questions:
  • tim estimates that 60÷5.7 is about 10. Will the actual quotient be greater then or less than 10? explain
    9·1 answer
  • Four friends each ordered individual pizzas at a restaurant. Suzy ate 3/8 of her pizza. Ethan ate 3/5 of his pizza. Tenaya ate 4
    11·1 answer
  • A rectangle is 9 ft long and 40 in. wide. What is its area in square feet? (Note: 1 ft = 12 in.)
    10·2 answers
  • Sam is designing a fence post for his yard. He will need to construct a perpendicular line through the point above the line to m
    9·2 answers
  • Laura owes $18,000 on her student loans. The interest rate on the bank loan is 2.5% and the interest rate on the federal loan is
    11·1 answer
  • The gestation period of rhinos ​(487 ​days) is​ _____ percent longer than the gestation period of bears ​(220 ​days).
    5·1 answer
  • Find the amount of time.<br> I=$450, P=$2400, r=7.5%<br> Help!
    13·1 answer
  • A study of long-distance phone calls made from General Electric Corporate Headquarters in Fairfield, Connecticut, revealed the l
    8·1 answer
  • Gil buys 4 books for $16. Then he sells 3 CDs for $27. Write equations for y, Gil’s change in money after buying a book, and for
    12·1 answer
  • Chadwick bought 50 shares of Chipotle stock on Nov 1, 2016 for $396.33 share. He sold the shares four years later, with the per
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!