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JulsSmile [24]
2 years ago
11

Dani wants to spend less than $25 on a birthday present for her friend. If she buys a necklace for $9.50, how many pairs of earr

ings, e, can she buy for $3.75 each without exceeding her budget? Enter your answer in the box.
Mathematics
1 answer:
aleksklad [387]2 years ago
5 0

Answer:

4

Step-by-step explanation:

Since it costs $3.75 for every earring, multiply e by 3.75 like this: 3.75e

Add 9.5 on top of that since Dani already bought the necklace for $9.50

3.75e + 9.5

This sum has to be less than or equal to 25 because the budget is $25

3.75e + 9.5 ≤ 25

To find e subtract 9.5 from both sides

3.75e + 9.5 ≤ 25

          - 9.5    - 9.5

3.75e ≤ 15.5

Divide both sides by 3.75

3.75e/3.75 = 15.5/3.75 = 4.133...

You can't buy 0.133 of an earring, so the max amount of earrings she can buy is 4.

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Determine the value of x and y and the following diagram
Tatiana [17]

Answer:

Step-by-step explanation:

first subtract 125-180=X you will get   X=55 so then add  X+X+y=180 which x+x+y= is actually  55+55+y=180 but don't add the y just yet add 55+55 then you will get 110+y=180 so then flip it backwards and do y=180-110 and your anwser is  y=70

7 0
3 years ago
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Plzzzz help me on this questions fast <br><br>This is Trigonometry​
Sladkaya [172]

Answer:

x ≈ 20.42, y ≈ 11.71

Step-by-step explanation:

Using the cosine ratio on the right triangle on the right, that is

cos20° = \frac{adjacent}{hypotenuse} = \frac{11}{y}

Multiply both sides by y

y × cos20° = 11 ( divide both sides by cos20° )

y = \frac{11}{cos20} ≈ 11.71

Using the sine ratio on the right triangle on the left, that is

sin35° = \frac{opposite}{hypotenuse} = \frac{y}{x} = \frac{11.71}{x}

Multiply both sides by x

x × sin35° = 11.71 ( divide both sides by sin35° )

x = \frac{11.71}{sin35} ≈ 20.42

5 0
3 years ago
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What is the solution to the system of equations?
MariettaO [177]

Answer:

x=-4 y=-1

Step-by-step explanation:

Let's solve your system by substitution.

−3x−8y=20;y=5x+19

Rewrite equations:

y=5x+19;−3x−8y=20

Step: Solve y=5x+19for y:

y=5x+19

Step: Substitute5x+19foryin−3x−8y=20:

−3x−8y=20

−3x−8(5x+19)=20

−43x−152=20(Simplify both sides of the equation)

−43x−152+152=20+152(Add 152 to both sides)

−43x=172

−43x

−43

=

172

−43

(Divide both sides by -43)

x=−4

Step: Substitute−4forxiny=5x+19:

y=5x+19

y=(5)(−4)+19

y=−1(Simplify both sides of the equation)

Answer:

x=−4 and y=−1

 

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3 years ago
Find the distance between the points 4,7 and -5,7
GenaCL600 [577]

Answer:

9

Step-by-step explanation:

Horizontal line from 4 to -5.

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2 years ago
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Which expression is equivalent to 4√24x∧6y÷ 128x∧4y∧5
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Answer:

Option D.  \sqrt[4]{\frac{3x^{2}}{2y}}

Step-by-step explanation:

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\sqrt[4]{(\frac{24}{128})\times (\frac{x^{6}}{x^{4}})\times (\frac{y}{y^{5}})}

= \sqrt[4]{(\frac{3}{16})\times {(x)^{6-4}}\times{(y)^{1-5}}}

= \sqrt[4]{(\frac{3}{16})\times x^{2}y^{-4}}

= \sqrt[4]{\frac{3}{(2)^{4}}\times x\times y^{-4}}

= \sqrt[4]{(3\times x^{2)\times (\frac{y^{-1}}{2})^{4}}}

= \frac{y^{-1}}{2}\sqrt[4]{3x^{2}}

= \sqrt[4]{\frac{3x^{2}}{2y}}

Option D. \sqrt[4]{\frac{3x^{2}}{2y}}  is the correct answer.

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3 years ago
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