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3 years ago

Tyreese is using algebra tiles to solve the equation below.

Mathematics

2 answers:

Zanzabum3 years ago

8 0

for this case we have the following equation:

$2x + 5 = -x + 1$

To resolve:

We add x to both sides of the equation:

$2x + x + 5 = -x + 1 + x$

$3x + 5 = 1$

We subtract 5 on both sides of the equation:

$3x + 5-5 = 1-5\\3x = -4$

We divide between 3 on both sides of the equation:

$x = - \frac {4} {3}$

Answer:

We add x to both sides of the equation

Soloha48 [4]3 years ago

7 0

Answer:

The correct option is C) add one positive x-tile to both sides.

Step-by-step explanation:

Consider the provided equation.

2x + 5 = -x + 1

Now to solve the above equation first isolate the variables.

To isolate the variables add x to the both the side of the equation.

2x + 5 + x = -x + 1 + x

Now add the like terms.

3x + 5 = 1

Here we add the x tiles to the both the side of the equation.

Now consider the options.

The correct option is C) add one positive x-tile to both sides.

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If the homogeneity of variance assumption is violated in an independent groups t test, this means _________. the populations fro

Anit [1.1K]

Answer:

the populations from which the samples were drawn have different standard deviations

Step-by-step explanation:

Given that the assumption of homogeneity of variance is the same as the assumption of the independent samples t-test which asserted that all comparison groups possess the same variance

Therefore, if the homogeneity of variance assumption is violated in an independent groups t-test, this means "the populations from which the samples were drawn have different standard deviations."

5 0

3 years ago

5. Mr. Rodriguez invests $2,000 in a savings plan. The savings account pays an annual interest rate of 5.75% on the amount he pu

slamgirl [31]

Answer: $1150

Step-by-step explanation:

Simple interest is calculated as:

= Principal × Rate × Time

where,

Principal = $2000

Rate = 5.75%

Time = 10

Interest = 2000 × 5.75% × 10

= 2000 × 0.0575 × 10

= 1150

The amount earned will be $1150.

4 0

3 years ago

im's uncle is 4 times as old as his nephew Jim. In 10 years, Jim's uncle age will be 20 years more than twice Jim's age. How old

faltersainse [42]

Answer:

15 years old.

Step-by-step explanation:

Let Jim's age now be one unit (1u).

His uncle's age now is then 4 units.

Jim's age in 10 years = 1u + 10

Jim's uncle's age in 10 years = 4u + 10

In 10 years, Jim's uncle's age will be 20 years more than twice Jim's age.

Twice Jim's age =

$2(1u + 10) = 2u + 20$

Since Jim's uncle's age is 20 years more than this, we can say that his uncle's age is equal to

$2u + 20 + 20$

which is equal to

$2u + 40$

We found out that Jim's uncle's age in 10 years is 4u+10. Hence

$4u + 10 = 2u + 40$

We subtract 10 from both sides:

$4u = 2u + 30$

Therefore

$2u = 30$

and one unit is 15. Hence, Jim's age now is 15.

7 0

3 years ago

A cylinder has a base diameter of 14m and a height of 10m. What is its volume in cubic m, to the nearest tenths place?

VARVARA [1.3K]

Answer:

1539 cubic meters

Step-by-step explanation:

Hello, I can help you with this

to solve need we will need these two equations

Step one

Remember

area of a circle

$Area=\pi *\frac{diameter^{2} }{4}\\$

Also, the volume of the cylinder

Volume= area of the circle * height

$Volume=\pi *\frac{diameter^{2} }{4} *height\\$

Step 2

put the values into the equation

Let

diameter= 14 m

height = 10 m

$Volume=\pi *\frac{diameter^{2} }{4} *height\\\\Volume=\pi *\frac{(14\ m)^{2} }{4} *10\ m \\\\Volume=\pi *49\ m^{2} *10\ m\\Volume=1539.38\ cubic\ meters$