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IrinaK [193]
3 years ago
13

Translate the sentence into an equation.

Mathematics
1 answer:
Andreas93 [3]3 years ago
3 0

Question:

Twice the difference of a number and 5 is equal to 9 .

Answer:

2x - 5 = 9

Step-by-step explanation:

Required

Translate

Let the number be x

Twice the number, x is 2x

The difference between (above) and 5 is 2x - 5

This equals to 9.

So, the expression becomes

2x - 5 = 9

Solving further:

2x = 5 + 9

2x = 14

Divide through by 2

x = 7

<em>Hence, the number is 7</em>

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H varies directly as L. H=18 when L=60, determine H when L=20
riadik2000 [5.3K]

Answer:

6

Step-by-step explanation:

H is proportionate to L, meaning that they can be represented as a ratio, \frac{h}{l}.

\frac{18}{60}

If we know that L in the same ratio is 20, we can set these ratio's equal to each other to find H.

\frac{18}{60} = \frac{x}{20}.

To find x, we can cross multiply.

20\cdot18=360\\\\360\div60=6

So x=6, meaning that when L=20, H=6.

Hope this helped!

4 0
3 years ago
Read 2 more answers
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Ksju [112]

Answer:

2022

Step-by-step explanation:

2 + 4x = y

y = 2 + 4(505)

y = 2 + 2020

y = 2022

4 0
2 years ago
The angle \theta_1θ 1 ​ theta, start subscript, 1, end subscript is located in Quadrant \text{II}IIstart text, I, I, end text, a
andrew11 [14]

Answer:

\cos(\theta_1)=-\dfrac{\sqrt{15}}{4}

Step-by-step explanation:

The angle \theta_1 is located in Quadrant II.

\sin(\theta_1)=\dfrac{1}{4}

From trigonometry, we know that:

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Now, in Quadrant II,

  • The x-axis is negative
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Therefore, the Adjacent angle to \theta_1 =-\sqrt{15}

Therefore:

\cos(\theta_1)=\dfrac{Adjacent}{Hypotenuse}=\dfrac{-\sqrt{15}}{4}\\\\\cos(\theta_1)=-\dfrac{\sqrt{15}}{4}

8 0
3 years ago
Help help help help help
Alenkinab [10]

Answer:

8

Step-by-step explanation:

To solve this, you can add 2/5 b to both sides of the equation. You now have 3 + 5/5 (or 1) b = 11. => 3 + b = 11 => Now, subtract 3 from both sides, and you have b = 11 - 3, and then b = 8.

8 0
4 years ago
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A rectangular region is removed from another rectangular region to create the shaded region shown below. Find the area of the sh
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I hope this helps you

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