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3 years ago

2/3x+8/3=2^x WHat is the solution to the equation? x=-2 x=-1 x=1 x=2

1 answer:

4 0

Pretty sure it's x= -2. multiply everything by 3
then combine.

10= 6^x you can work it like a log and minus 10 from each side.

0= -4^x

so what raised to the power gives you -4? x=-2

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Walter is 43 years old his daughter Paulette is 7. In how many years will Paulette be one-third of Walters age

Ksju [112]

The answer is 14 when rounded to the nearest whole number, to get this you simply must divide 43 by 3 which equals to 14.333.

8 0

3 years ago

A department store buys 200 shirts at a cost of $5,400 and sells them at a selling

jekas [21]

Number of shirts a department store bought = 200

Cost price of 200 shirts = $5400

Cost price of 1 shirt :

$=\tt \frac{5400}{200}$

$\color{plum} =\tt \$27$

Thus, the cost price of one shirt = $27

Price at which the department store sold each shirt = $30

Which means :

▪︎Cost price of shirt = $27

▪︎Selling price of shrit = $30

Since selling price is greater than cost price, there was a markup in the price of the shirts.

We know that :

$\color{hotpink}\tt \: markup \: percentage = \color{plum} \frac{selling \: price - cost \: price}{cost \: price } \times 100$

Markup percentage in the price of the shirts :

$= \tt \frac{30 - 27}{27} \times 100$

$= \tt \frac{3}{27} \times 100$

$= \tt \frac{3 \times 100}{27}$

$= \tt \frac{300}{27}$

$\color{plum} = \tt11.1 \%$

Thus, the percentage of markup = $\tt 11.1 \%$

Therefore, the percentage of markup in the shirt's price = $\color{hotpink} \tt11.1 \%$

3 0

2 years ago

Read 2 more answers

PLEASE ANSWER FAST

Lina20 [59]

The square root of 16 is 4

7 0

3 years ago

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A point has the coordinates (m,0) and m unequal 0. Which reflection of the point will produce an image located at (0,-m)

melisa1 [442]

Answer:

y = -x

Step-by-step explanation:

it because the reflection change the value of x become -y

so the reflection we can use is the line y = -x

8 0

3 years ago

Which of the following represents the value of the missing side?

igomit [66]

Answer:

The value of the missing side is $x=2\ units$

Step-by-step explanation:

In this problem i assume that the length side x is tangent to the circle

the length side x is perpendicular to the radius

Applying the Pythagoras Theorem in the right triangle

we have that

$(1.5+1)^{2}=1.5^{2}+x^{2}$

Solve for x

$(2.5)^{2}=1.5^{2}+x^{2}$

$x^{2}=2.5^{2}-1.5^{2}$

$x^{2}=4$

$x=2\ units$

7 0

3 years ago

Read 2 more answers