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3 years ago

Simplify (–14 + 77) – |21 – 82|.

Mathematics

2 answers:

Alla [95]3 years ago

5 0

Answer: 2

Step-by-step explanation:

First, simplify the innards of both parenthetical phrases.

63 - |-61|

The absolute value of -61 is 61.

63-61

Hope it helps :)

Leni [432]3 years ago

4 0

Answer:

-14+77=63

21-82=-61

|-61|=61

So 63-61=2

Step-by-step explanation:

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Find the value of the variable and YZ if Y is between X and Z. <br><br> XY=4n+3, YZ=2n-7,XZ=22

ruslelena [56]

Answer:

$\large \boxed{n = \dfrac{13}{3}; YZ = \dfrac{5}{3}}}$

Step-by-step explanation:

I think you have the situation shown in the diagram below.

1. Calculate the value of n

$\begin{array}{rcl}XY + YZ & = & XZ\\4n+ 3 + 2n - 7 & = & 22\\6n - 4 & = & 22\\6n & = & 26\\n & = & \dfrac{26}{6}\\\\& = & \mathbf{\dfrac{13}{3}}\\\end{array}\\\large \boxed{\mathbf{n = \dfrac{13}{3}}}$

2. Calculate the value of YZ

$\begin{array}{rcl}YZ & = & 2n - 7\\& = & 2\left (\dfrac{13}{3}\right ) - 7 \\\\& = & \dfrac{26}{3} - 7\\\\& = & \dfrac{26}{3} - \dfrac{21}{3}\\\\& = & \dfrac{5}{3} \\\\\end{array}\\\large \boxed{YZ = \mathbf{ \dfrac{5}{3}}}$

7 0

3 years ago

Select the correct answer from each drop-down menu. Rafael wants to construct a square inscribed in a circle. He divides the cir

Soloha48 [4]

The circle's square is an inscribed square.

Rafael made his first error in (B) Dividing the circle in six parts.
The square can be constructed by first (c) Drawing a diameter

<h3>How to spot Rafael's mistake?</h3>

CIRCLE: A circle is the collection of all points on a plane that are at a specified distance from another point (the radius) (the centre). A radius is any distance separating a point on a circle from its center. Any two radii are equal in length under the concept of a circle.

SQUARE: In geometry, a square is a flat shape having four equal sides & four right angles (90°). A square is an unique sort of parallelogram as well as an equilateral rectangle.

Estimation for the error;

The diameter of a circle must be drawn first when drawing the square inside of a circle, following the circle itself.

This indicates that Rafael made two mistakes: first, he divided the circle into six halves, forgetting that a square is produced by first sketching a diameter.

To know more about square is inscribed in a circle, here

brainly.com/question/8797902

#SPJ4

The complete question is -

Select the correct answer from each drop-down menu.

Rafael wants to construct a square inscribed in a circle. He divides the circle into six equal arcs and then draws line segments between four of the points. What was the first error Rafael made?

1. The first error Rafael made was

A.Connecting points F and E

B. Dividing the circle in six parts

C. Connecting points B and F

2. A square is constructed by first

A. Drawing a radius

B. Drawing a chord

C Drawing a diameter

5 0

1 year ago

The first step in solving 7/8 = 3x - 5/11 is to subtract 5/11 from both sides of the equation.

Ostrovityanka [42]

False because -5/11 should be add on both sides

3 0

3 years ago

Which graph represents a function?

vesna_86 [32]

Answer:

The last option

Step-by-step explanation:

In order for the graph to be a function it has to pass the vertical line test. If you draw a vertical line through the graph and it only intersects at one point then it is a function.

5 0

3 years ago

Gina has 48 stickers 3/8 are flowers, 1/8 were plants, how many are people

beks73 [17]

Answer:

Hello!

Judging by the question you have provided I have deduced that the correct answer is:

24 people

Step-by-step explanation:

To come across this answer I assumed that $\frac{3}{8}$ of the stickers are flowers, $\frac{1}{8}$ of the stickers are plants, and the wrest of the stickers are people.

I then realized that I could look at the equation this way:

If we already know how many stickers are not people, we can then add up the amount of stickers we know are not people, and then subtract that amount from the total amount of stickers to figure out how many left can be people!

Which in this case would be:

$\frac{3}{8}$ (not people)+ $\frac{1}{8}$ (not people) = $\frac{4}{8}$ stickers that are not people, or if simplified $\frac{1}{2}$ or half of the total number of stickers.

We now know that half of the stickers are not people, so thus we can deduce that the other half of the stickers are people.

And half of 48 is:

Thus, 24 stickers are people!

And the other 24 have to be flowers and plants!

4 0

3 years ago

Read 2 more answers