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Paraphin [41]
3 years ago
11

(Question Is In The Picture, Kinda Bad)

Mathematics
1 answer:
11111nata11111 [884]3 years ago
5 0

Answer:

72 cupcakes

Step-by-step explanation:

Morgan can make 4 cupcakes with one cup of flour. She has 18 cups of flour and suppose she can make x cupcakes, then

1 cup of flour - 4 cupcakes

18 cups of flour - x cupcakes

Write a proportion:

\dfrac{1}{18}=\dfrac{4}{x}

Cross multiply:

1\cdot x=18\cdot 4\\ \\x=72\ cupcakes

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A combined total of 39000 is invested in two bonds that pay 5% and 6.5% simple interest. The annual interest is 235500 how much
dolphi86 [110]

Answer:

$12000 at 5%

$27000 at 6.5%.

Step-by-step explanation:

Let x represent amount invested at 5% and y represent amount invested at 6.5%.

We have been given that a combined total of 39000 is invested in two bonds. We can represent this information in an equation as:

x+y=39000...(1)

We are also told that the annual interest rate is 2355.00. We can represent this information in an equation as:

0.05x+0.065y=2355...(2)

Upon substituting equation (1) in equation (2), we will get:

0.05x+0.065(39000-x)=2355

0.05x+2535-0.065x=2355

-0.015x+2535=2355

-0.015x=2355-2535

-0.015x=-180

\frac{-0.015x}{-0.015}=\frac{-180}{-0.015}

x=12000

Therefore, an amount of $12,000 is invested at 5%.

Upon substituting x=12000 in equation (1), we will get:

12000+y=39000

y=39000-12000

y=27000

Therefore, an amount of $27,000 is invested at 6.5%.

4 0
3 years ago
The cost of kg of apples is $262.50. find the cost of 25 kg of apples
SashulF [63]

Answer:

Step-by-step explanation:

cost of 25 kg =262.50x25

                      =6562.5

5 0
2 years ago
Create and solve a story problem about the runner who is training for a race include at least one fraction in your story
vfiekz [6]

Answer:

Runner A ran 3 miles everyday whilst his mate ran 3 1/2. How long till they both run the same distance?

Step-by-step explanation:

5 0
3 years ago
A water sprinkler has a range of 5 meters as shown. The jet of water from the sprinkler sweeps out at an angle of 85° as the noz
Gemiola [76]

<u>Answer</u>

18.5 m²

<u>Explanation</u>

The figure is a sector of angle 85° and of radius 5 m.

The area = θ/360 × π × r²

                = 85/360 × 3.14 × 5²

                = 18.5347

  The answer to one decimal place is 18.5 m²

4 0
3 years ago
Consider the two triangles. Triangles A B C and T R S are shown. Sides A C and T S are congruent. Sides T B and R S are congruen
masya89 [10]

Answer:

its c

Step-by-step explanation:

By the converse of the hinge theorem, mAngleS > mAngleC.

4 0
3 years ago
Read 2 more answers
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