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3 years ago

What is the answer to |x-4|<13

Mathematics

1 answer:

VARVARA [1.3K]3 years ago

7 0

Answer:

<h2>The solution is -9 < x < 17.</h2>

Step-by-step explanation:

|x-4|<13.

The above equation means, whatever the actual value of x is, the value of (x - 4) must be greater than - 13 and less than 13.

Hence, -13 < x - 4 < 13 or, -9 < x < 17. The value of x will be in between -9 and 17. The value of x can not be -9 or 17.

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Two angles are supplementary to each other. If the first angle measures 58 then which of the following could be the measure of t

34kurt

Answer: 122°

Step-by-step explanation:

When an angle is supplementary to each other , it means the angle measures to 180°.

Now since one of the two angles is 58°, therefore, the other angle will be

180° - 58°

= 122°

6 0

2 years ago

A truck uses 1 tablespoon of gasoline to drive 125 yards. How many miles can the vehicle travel per gallon?

Alborosie

Answer:

18.18 miles.

Step-by-step explanation:

A truck uses 1 tablespoon of gasoline to drive 125 yards.

Now, 1 gallon of gasoline contains 256 tablespoons of gasoline.

So, the truck uses 1 gallon i.e. 256 tablespoons of gasoline to drive (256 × 125) = 32000 yards.

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8 0

3 years ago

The sides of △FGH are FG = 6 x+ 7, GH = 8x - 5, and FH = 10x - 11. If the perimeter of △FGH is 87, list the angles in order from

irga5000 [103]

Answer:

From largest to smallest: FG, FH, GH

Step-by-step explanation:

Given

$FG = 6x + 7$

$GH = 8x - 5$

$FH = 10x - 11$

$Perimeter = 87$

Required

Order the sides in descending order

First, we need to solve for x.

Perimeter of FGH is calculated as thus:

$Perimeter = FG + GH + FH$

Substitute values for FG, GH, FH and Perimeter

$87 = 6x + 7 + 8x - 5 + 10x - 11$

Collect Like Terms

$87 - 7 + 5 + 11= 6x + 8x + 10x$

$96= 24x$

Reorder

$24x = 96$

Divide through by 24

$x = 96/24$

$x = 4$

Substitute 4 for x in FG, GH and FH

$FG = 6x + 7$

$FG = 6 * 4 + 7$

$FG = 24 + 7$

$FG =31$

$GH = 8x - 5$

$GH = 8 * 4 - 5$

$GH = 32 - 5$

$GH = 27$

$FH = 10x - 11$

$FH = 10*4 - 11$

$FH = 40 - 11$

$FH = 29$

In order of arrangement in descending order, we have:

$FG =31$ $FH = 29$ $GH = 27$

4 0

2 years ago

A television network is about to telecast a new television show. Before a show is launched, the network airs a pilot episode and

GalinKa [24]

Let's first denote:

F - a favorable response

F' - an unfavorable response

S - successful

We know that:

$P(F) = 0.6\\\\P(F')=0.4\\\\P(F\cap S)=0.5\\\\P(F'\cap S)=0.3$

So, from the conditional probability, we can calculate:

$P(S|F) = \dfrac{P(S\cap F)}{P(F)} = \dfrac{0.5}{0.6}=\dfrac{5}{6}\approx\boxed{0.83}$

Answer E.

5 0

3 years ago

(x+3)(x+2) can some one help with this one please (factoring trinomials)

Licemer1 [7]

Make it a trinomial by using the FOIL method.
First
Inside
Outside
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5 0

3 years ago