1answer.
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
anygoal [31]
2 years ago
6

A particular shade of paint is made by mixing 5 parts red paint with 7 parts blue paint. To make this shade, Shannon mixed 12 qu

arts of blue paint with 8 quarts of red paint.Did Shannon mix the correct shade? explain.
Mathematics
1 answer:
Shtirlitz [24]2 years ago
3 0
Shannon did not mix the correct shade. Cause the correct ratio of blue and red is 7:5. While Shannon mix 12:8=3:2 which is not equal to 7:5.
You might be interested in
Based on the current eligibility requirement, a study conducted in 2004 showed that federal spending on entitlement programs, pa
slava [35]

Answer:

A) 2.9% of GDP

B) 8.73% of GDP

Step-by-step explanation:

A) To find the rate of spending, let's find the derivative of the function

P(t) = 0.27t² + 1.4t + 2.1 (0 <= t <= 5)

So,

dP/dt = 0.54t + 1.4 which is the annual growth rate.

Since t is measured in decades, thus in 2030 ,it will have been 3 decades, so we have t = 3

So, at t=3; dp/dt = 0.5(3) + 1.4 = 1.5 + 1.4 = 2.9 which means spending in 2030 will be growing at rate of 2.9%

B) The predicated spending is;

P(t) = 0.27t² + 1.4t + 2.1

Thus, in 2030, will be 3 decades so, t= 3

Thus;

P(3) = 0.27(3²) + 1.4(3) + 2.1 = 8.73 which is 8.73% of GDP

5 0
3 years ago
Read 2 more answers
A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associ
Ronch [10]

Answer:

The system of equations representing the situation are

600a+1200p = 15,000

a+p = 16

with solutions

p =9

a = 7

Step-by-step explanation:

Let us call a the number of associates and p the number of partners. If each associate costs $600 and each partner costs $1200, and it cost the law firm a total of $15,000, then we have

600a+1200p = 15,000.

Since the law firm assigned at total of 16 lawyers, we have

a+p = 16.

Thus, the system of equations representing the situation are

600a+1200p = 15,000

a+p = 16

And the solution to this system is found by solving for a in the second equation and substituting its value in the first equation:

a = 16-p

600(16-p)+1200p = 15,000

9600-600p+1200p=15,000

9600+600p=15,000

600p=5400

\boxed{ p=9}

We put this value into a+p = 16 and solve for a:

a+9=16

\boxed{a = 7}

4 0
3 years ago
Instructions: The polygons in each pair are similar. Find the<br> missing side length.
loris [4]

Answer:

missing side length is 12

Step-by-step explanation:

similar means that all correlating pairs of sides have the same ratio (old side length) / (new side length).

so, when we know the ratio of one pair, we can apply it to any other side to calculate the correlating side.

we see, when we go from small to large, that we have the ratio 32/40 = 4/5.

so, multiplying the larger side by this, we get the shorter side.

15 × 4/5 = 3 × 4 = 12

the proportion part in your picture is a bit confusing :

yes,

x/15 = 32/40 = 32/40

I don't know, why this last expression was repeated.

x/15 = 32/40

x = 15×32/40 = 15×4/5 = 3×4 = 12

as you see we get of course the same result doing it that way.

3 0
2 years ago
If y = -5x + 2 were changed to y=-7x+ 5, how would the graph of the new line compare with the first one? A. The new graph would
Anika [276]

D- The new graph would be steeper than the original graph, and the y- intercept would shift up 3 units.

The purple line is y=-5x + 2

The pink line is y = -7x + 5

5 0
3 years ago
(03.05 LC) The graph of a function f(x) is shown below: graph of line segment going through ordered pairs negative 3, negative 4
Aleks [24]

Answer:

−3 < x ≤ 1

Step-by-step explanation:

The domain of a function is the set of x-values.

In this graph, the open circle at (-3, -4) means the segment goes back up to this point but this point is not part of the segment itself.

The closed circle at (1, 2) means this is the endpoint and part of the segment.

This means the x-values range from almost -3 up to and including 1; this gives us the inequality

−3 < x ≤ 1

4 0
2 years ago
Read 2 more answers
Other questions:
  • Jim wants to start investing in bonds. He checks with two brokers to ask them for suggestions of bonds to buy. Broker J, who cha
    15·2 answers
  • Larry says the 9 in 198,550 is 10 times greater than 9 in 4,931 agree or disagree ... how am I supposed to help figure that out
    12·1 answer
  • Numbers 13 14 15 16 17?
    15·1 answer
  • he wanted to make another quilt with an area of 42 square feet. What are its possible dimension if they must be whole numbers wh
    6·2 answers
  • When is the sum of two integers a negative number
    13·1 answer
  • Please help ASAP URGENT
    7·1 answer
  • Each week Cindy uses 2 ¼ pound of birdseed to feed her three parrots. How much birdseed does each parrot eat in one week?
    10·2 answers
  • Find the are of the ABC triangle​
    9·2 answers
  • PLEASE HELP ILL MAKE YOU THE BRAINIEST
    9·2 answers
  • Figure ABCD is a parallelogram. What is the product of xy?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!