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Snowcat [4.5K]
3 years ago
9

A recipe calls for 4cups of flour for 12

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
7 0

Answer:

15 muffins

Step-by-step explanation:

We can use proportion to solve this.

Let x be the number of muffins that can be made with 5 cups of flour

4 cups = 12 muffins

5 cups =   x

cross-multiply

4×x = 12 × 5

4x = 60

Divide both-side of the equation by 4

\frac{4x}{4}  =  \frac{60}{4}

(On the left-hand side of the equation, 4 on the numerator will cancel-out 4 on the denominator, while on the right-hand side of the equation 60 will be divided by 4)

x = 15 muffins

15 muffins can be made with 5 cups of flour.

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On a run, Natasha ran for 1 1/4 hours at a speed of 6 miles per hour. She then rested for 1/4 hour before running another hour a
Fiesta28 [93]

Answer: option 4 is the correct answer.

Step-by-step explanation:

The graphs shown in the photo are plots of distance versus time.

Distance travelled = speed × time

On a run, Natasha ran for 1 1/4 hours at a speed of 6 miles per hour. The distance that she covered would be

6 × 1.25 = 7.5 miles

She then rested for 1/4 hour. This means that her speed is 0 and the distance covered is also 0 miles.

She then ran for another hour at a speed of 5 miles per hour. Distance covered would be

5 × 1 = 5 miles

Total time spent would be

1.25 + 0.25 + 1 = 2.5 hours

Total distance covered would be

7.5 + 5 = 12.5 miles

Therefore, the 4th graph best represents the distance she traveled

5 0
3 years ago
I need help with this proof, the given and prove are at the top. Plzzzz help
Goshia [24]

Answer:  The proof is mentioned below.

Step-by-step explanation:

Here, Given : m∠AOC = 160°  m∠AOD= (3x-10)° and  m∠ DOC= (x+14)°

Prove: x= 39°

      Statement                                              Reason

1. m∠AOC = 160°, m∠AOD= (3x-10)°    1.  Given

and m∠ DOC= (x+14)°    

2. m∠AOD+m∠DOC=m∠AOC         2. Because OD divides ∠AOC

                                                              into ∠AOD and ∠DOC

3. (3x-10)° +(x+14)°= 160°                     3. By substitution

4.  4x+4 = 160°                                    4. By equating like terms

5. 4x= 156°                                          5. By subtraction property

                                                             of equality

6. x= 39°                                              6. By division property of equality


7 0
3 years ago
When the product of 6 and the square of a number is increased by 5 times the number, the result is 4. which equation represents
AleksandrR [38]

Answer:

The answer would be 6x^2 + 5x - 4 = 0

4 0
2 years ago
Will mark u BRAINLIEST! Please help this is due ASAP
serious [3.7K]

Answer + Explanation:

let x be the measure of angle x

let y be the measure of angle y

\left \{ {{x + y = 180} \atop {x=24+y}} \right.

Now, solve:

plug x = 24 + y into x + y = 180

24 + y + y = 180

24 + 2y = 180

2y = 156

y = 78

Now, plug this back into the equation x = 24 + 78

x = 102

8 0
3 years ago
Read 2 more answers
Using the functions presented in the example, how much can Cam expect to earn if he sells all the corn produced on 1.5 acres?
12345 [234]

Answer:

Cam expect to earn if he sells all the corn produced on 1.5 acres is $8725.

Step-by-step explanation:

Given : C(a)=7500a-1500, M(C)=0.9C- 50  and  M(C(a))=6750a-1400

To find : How much can Cam expect to earn if he sells all the corn produced on 1.5 acres?

Solution :  

C(a)=7500a-1500

Substitute a=1.5,

C(1.5)=7500(1.5)-1500

C(1.5)=11250-1500

C(1.5)=9750

Now, taking function M(C)=0.9C- 50

Substitute C=9750,

M(9750)=0.9(9750)- 50

M(9750)=8775- 50

M(9750)=8725

Now, taking function M(C(a))=6750a-1400

Substitute a=1.5,

M(C(1.5))=6750(1.5)-1400

M(C(1.5))=10125-1400

M(C(1.5))=8725

Therefore, Cam expect to earn if he sells all the corn produced on 1.5 acres is $8725.

8 0
3 years ago
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