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3 years ago

Solve: −3(5+8x)−20≤−11

1 answer:

3 0

-3(5 + 8x) - 20 ≤ -11 |use distributive property: a(b + c) = ab + ac

-15 - 24x - 20 ≤ -11

-35 - 24x ≤ -11 |add 35 to both sides

-24x ≤ 24 |change signs

24x ≥ -24 |divide both sides by 24

x ≥ -1

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Delaney is saving money in an account that offers 9% simple interest. She deposits 2000 from her grandmother into the account an

Brrunno [24]

Answer:

15years

Step-by-step explanation:

Given data

Rate= 9%

Principal= $2000

Final amount= $4700

The simple interest formula is given as

A= P(1+rt)

Substitute

4700=2000(1+0.09*t)

4700= 2000+ 180t

4700-2000= 180t

2700=180t

t= 2700/180

t= 15 years

Hence the time is 15years

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2 years ago

The equation of a line is y-4=3(x+2),which of the following is a point on the line?

Greeley [361]

After you re-arrange the equation, you'll find out that you got y=3x+6....okay, this equation is a linear equation, you can use y=mx+b {where m=3, and b=6}. then to find the co-ordinate of (x,y) which is the point, substitute 1,2,3,4.... for x in 'y=3x+6' to figure out the co-ordinate of y.

answer: (1,14), (2,16), (3,19), (4,22)

8 0

3 years ago

Find the length x to the nearest whole number. A right triangle has a vertical leg of length x units, a base leg with a length o

wel

Complete Question

The diagram for this question is shown on the first uploaded image

Answer:

The value of x is $x = 274 \ unites$

Step-by-step explanation:

From the question we are told that

The length of the vertical length is $x$

The length of the base leg is L = 330 + d units

The length of the bisecting line segment is h

The base angle is $\theta = 28^o$

The angle between d and line segment is $\theta_1 = 56^o$

For the first angle

$Tan \theta_1 = \frac{x}{d}$

=> $d = \frac{x}{Tan \theta _1}$

For the whole big triangle

$Tan \theta = \frac{x}{330 + d}$

=> $d = \frac{x}{Tan \theta } -330$

So equating the both d

$\frac{x}{Tan \theta _1} = \frac{x}{Tan \theta } -330$

Substitute values

$\frac{x}{Tan (56)} = \frac{x}{Tan (28) } -330$

$0.6745 x = 1.880x -330$

$1.20549 x = 330$

$x = 274 \ unites$

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3 years ago

17.A company produces three sizes of a dog

Aleksandr [31]

Answer:

10s+40m+61l=net profit

Step-by-step explanation:

subtract the value you pay from the value you charge

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3 years ago

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Luden [163]

Answer:

x = 28

Step-by-step explanation:

If the quadrilaterals are similar, there is a proportionality among their sides:

The top side in the large figure (70) is to the top side in the small figure (10) in the same ratio as the left side (x) in the large figure is to the left side in the small figure (4). This in math terms is written as:

$\frac{70}{10} =\frac{x}{4}$

We can then solve for the unknown "x" by multiplying both sides by 4:

$\frac{70}{10} =\frac{x}{4}\\\frac{70\,*\,4}{10} =x\\x=28$

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3 years ago