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3 years ago

9

Use a number line to add:

1 answer:

Jobisdone [24]3 years ago

8 0

Start at 14 on the number line. Since 25 is negative you’re going to be moving to the left. After 14 hops you’ll reach zero, you’re adding -25 so you’ll have to reach a total of 25 hops to the left. You have moved so far 14 hops so you still have 11 to go. Moving 11 more hops to the left results in -11. Now you have reached the total number of hops 25, the negative sign indicated you were moving towards the left. So 14+(-25)=-11

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How to find all real solutions

AlladinOne [14]

$\bf \sqrt{\sqrt{x-5}+x}=5\leftarrow \textit{squaring both sides}
\\\\
\sqrt{x-5}+x=25\implies \sqrt{x-5}=25-x\leftarrow \textit{squaring both sides}
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x-5=(25-x)^2\implies x-5=625-50x+x^2
\\\\
0=x^2-51x+630\implies 0=(x-30)(x-21)$

and surely you'd know what the roots are

7 0

3 years ago

Please help me thank you very much

frez [133]

Answer is A
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3 years ago

Sketch the algebra-tile shape at right on your paper. Write an expression for the

Dima020 [189]

Answer:

Part 1) $P=(4x+4)\ units$

Part 2)

a) $P=32\ units$

b) $P=26\ units$

c) $P=13\frac{1}{3}\ units$

Step-by-step explanation:

<u><em>The complete question in the attached figure</em></u>

Part 1) Write an expression for the perimeter of the shape

we know that

The figure is composed by a larger square, a rectangle and a smaller square

1) The area of the larger square is given

$A=x^2\ units^2$

so

The length and the width of the larger square is x units

2) The area of the rectangle is given

$A=x\ units^2$

so

The length of the rectangle is x units and the width is 1 unit

3) The length and the width of the smaller square is x units

see the attached figure N 2 to better understand the problem

Find out the perimeter

The perimeter is the sum of all the sides.

so

$P=(x+x+x+x+1+1+1+1)$

$P=(4x+4)\ units$

Part 2) Find the perimeter for each of the given values of x.

a) For x=7 units

Substitute the value of x in the expression of the perimeter

$P=(4(7)+4)=32\ units$

b) For x=5.5 units

Substitute the value of x in the expression of the perimeter

$P=(4(5.5)+4)=26\ units$

b) For x=7/3 units

Substitute the value of x in the expression of the perimeter

$P=(4(\frac{7}{3})+4)=\frac{40}{3}=13\frac{1}{3}\ units$

8 0

3 years ago

I need these questions to be answered correctly plz tryna get my grade up

Reil [10]

Answer:

1. 81

2. 4 (square root of) 25^3

3. 30 (square root of) 10

6 0

3 years ago

A marble is randomly selected from a bag. The probability of selecting a marble with dots on it is 0.2. The probability of selec

marin [14]

Answer:

0.5

Step-by-step explanation:

Let D be the event of selecting a marble with dots.

Let P be the event of selecting a purple marble.

The probability of selecting a marble with dots, P(D)=0.2

The probability of selecting a marble that is both purple and has dots, $P(D \cap P)=0.1$

We want to determine the probability of selecting a purple marble given that the marble has dots on it, P(P|D)

By the definition of conditional probability:

$P(P|D)= \dfrac{P(P \cap D)}{P(D)} \\= \dfrac{0.1}{0.2}\\ =0.5$

The probability of selecting a purple marble given that the marble has dots on it is 0.5.

4 0

3 years ago