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beks73 [17]
3 years ago
5

Marking brainliest Pls help

Mathematics
1 answer:
kolezko [41]3 years ago
3 0
If you’re just looking at money made and not costs to produce you’d be using the number of cupcakes sold and the price they’re being sold at...

So if cupcakes sell for 2.00 the equation would just be 2x

2 for price of cupcakes and x for number of cupcakes sold
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Please help ! 20 pts please
Ksenya-84 [330]

The given ratios expresses the number of time a value is larger or smaller

than another value.

The correct responses are;

  • 3. <u>(B) 12 and 24</u>
  • 4. <u>(D) 6, 9, 21</u>
  • 5. \underline{(E) \ \displaystyle  \frac{11}{2}}
  • 6. \underline{(E) \ \displaystyle \frac{5}{14}}
  • 7. (B) \overline{EF} =<u> 6</u>, \overline{AC} = <u>9·√5</u>
  • 8. <u>(C) The values are equal</u>
  • 9. <u>(A) The value in column A is greater</u>

Reasons:

3. Given that the perimeter of the rectangle = 72

The ratio of the lengths of the sides = 1:2

Let <em>a</em> and <em>b</em> represent the sides, we have;

2·a + 2·b = 72

\displaystyle \frac{a}{b} = \mathbf{\frac{1}{2}}

Which gives;

2·a = b

2·a + 2·(2·a) = 72

6·a = 72

a = 72 ÷ 6 = 12

b = 2·a = 2 × 12 = 24

The lengths of the sides are; <u>(B) 12 and 24</u>

4. Extended ratio = 2:3:7

The perimeter = 36

The lengths of the sides are;

\displaystyle \frac{2}{2 + 3 + 7} \times 36 = \mathbf{6}

\displaystyle \frac{3}{2 + 3 + 7} \times 36 = \mathbf{9}

\displaystyle \frac{7}{2 + 3 + 7} \times 36 = \mathbf{21}

The lengths are; <u>(D) 6, 9, 21</u>

5. The given equation is presented as follows;

\displaystyle \frac{5}{x + 7} = \mathbf{\frac{3}{x + 2}}

5 × (x + 2) = 3 × (x + 7)

5·x + 10 = 3·x + 21

5·x - 3·x  = 21 - 10

2·x = 11

\displaystyle x = \mathbf{ \frac{11}{2}}

The correct option is; \displaystyle \underline{(E) \ \frac{11}{2}}

6. The width to length ratio is \displaystyle \mathbf{\frac{2.5}{7.0}}

The simplified ratio is therefore;

\displaystyle \frac{2.5}{7.0} =  \frac{2 \times 2.5}{2 \times 7.0} =  \mathbf{\frac{5}{14}}

The correct option is (E) \displaystyle \underline{(E) \ \frac{5}{14}}

7. The given ratio of the lengths is 3:1

Therefore;

\overline{BC}:\overline{EF} = 3:1

Which gives;

\displaystyle \mathbf{\frac{\overline{BC}}{\overline{EF}}} = \frac{3}{1}

\overline{BC} = 18

Therefore;

\displaystyle \frac{18}{\overline{EF}} = \frac{3}{1}

18 × 1 = 3 × \overline{EF}

\displaystyle \overline{EF} = \frac{18 \times 1}{3} = 6

\overline{EF} = 6

By Pythagorean theorem, we have;

\overline{DF}² = \mathbf{\overline{DE}}² + \mathbf{\overline{EF}}²

Which gives;

\overline{DF}² = 3² + 6² = 45

\overline{DF} = √(45) = 3·√5

Using the given ratio, we have;

\overline{AC} = 3 × \mathbf{\overline{DF}}

Which gives;

\overline{AC} = 3 × 3·√5 = 9·√5

\overline{AC} = 9·√5

The correct option is; (B) \overline{EF} =<u> 6</u>, \overline{AC} = <u>9·√5</u>

8. EF = 1, AB = 2

CD = 2, CE = 4

Therefore;

\displaystyle \mathbf{\frac{EF}{AB}} =\frac{1}{2}

\displaystyle \mathbf{\frac{CD}{CE}} =\frac{2}{4} = \frac{1}{2}

Which gives;

\displaystyle \frac{EF}{AB} =\displaystyle \mathbf{\frac{CD}{CE}}

<u>(C) The values are equal</u>

9. AC = 6, BE = 8

DF = 3, BD = 6

Column A

\displaystyle \frac{AC}{BE} =\displaystyle \mathbf{\frac{6}{8}} = \frac{3}{4}

Column B

\displaystyle \frac{DF}{BD} =\displaystyle \mathbf{\frac{3}{6}} = \frac{1}{2}

\displaystyle \frac{3}{4} > \mathbf{\frac{1}{2}}

Therefore;

Column A is greater than column B

<u>(A) The value in column A is greater</u>

Learn more about ratios here:

brainly.com/question/2774839

7 0
3 years ago
Anyone know how to do 3 or 4???
Evgesh-ka [11]
There are 13 students in Sara's class. I did this by using 8 = 3/5x, x being the total number of students. The answer is 13.33334 but you cant have half a student so it rounds down to 13.
also number 4 can be any positive number. This is because if you take one fourth of a negative number it will be more than if you doubled it. for example 1/4 of -4 is -1 which is more than -4 doubled which is -8
3 0
4 years ago
What is the solution set for -3x-18&lt;4x-39
dem82 [27]
I believe it would be x>3
7 0
3 years ago
Read 2 more answers
What is sin ? <br>What is a cos?
erik [133]

Answer:

Cos: adjacent / hypotenuse

In a right angled triangle, the cosine of an angle is: The length of the adjacent side divided by the length of the hypotenuse. The abbreviation is cos. cos(θ) = adjacent / hypotenuse. Well Done!

Sin: In mathematics, the sine is a trigonometric function of an angle. The sine of an acute angle is defined in the context of a right triangle: for the specified angle, it is the ratio of the length of the side that is opposite that angle, to the length of the longest side of the triangle.

hope this helps out, if not, i'm sorry

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Please help this was due yesterday
lys-0071 [83]

Answer:

2) 2^8

3)7^9

4)  1/3^6

5)x^10

6) y^8

7) x^10

Step-by-step explanation:

5 0
2 years ago
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