Solve For The Variable

Answer:

$32.1

Step-by-step explanation:

First find out what 25% of 40 is:

$40 x .25 = $10

Take the answer and subtract that from the original price:

$40 - $10 = $30

Next, take the sales tax (7% or 0.07) and multiply that by the new price:

$30 x 0.07 = $2.1

Lastly, take the answer and add that to the new price:

$30 + $2.1 = $32.1

Then you would get your answer:

$32.1

14 and 21 and 18

is three of them

Answer: 6/7 (2/2) = 12/14

(3/3) = 18/21

(4/4) = 24/28

Answer:

1/7 and 2/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

t+1.25+.5+1=4

t=1.25 hours, .25hr=15 minutes so Chad started at

1:15p.m.

Answer:

1. 0.555555556

2. 18

Step-by-step explanation:

Answer:

x = 10; y = 8

Step-by-step explanation:

Let

DVDs = x

CDs = y

3x + 4y = 62 (1)

4x + 3y = 64 (2)

Multiply (1) by 4 and (2) by 3 to eliminate x

12x + 16y = 248 (3)

12x + 9y = 192 (4)

Subtract (4) from (3)

16y - 9y = 248 - 192

7y = 56

y = 56/7

y = 8

Substitute y = 8 into (1)

3x + 4y = 62

3x + 4(8) = 62

3x + 32 = 62

3x = 62 - 32

3x = 30

x = 30/3

x = 10

x = 10; y = 8

Answer:

18.6inches

Step-by-step explanation:

Given the length of a side of a pentagon to be 6 inches.

If this length is dilated by a factor of 3.1, the new length will be;

New length = Old length * dilation factor

New length = 6 * 3.1

New length = 18.6inches

Hence the length of each side of the dilated pentagon is 18.6inches

Answer:

23.8 km

Step-by-step explanation:

Answer:

b=8

Step-by-step explanation:

Perpendicular lines are negative and reciprocal; when you multiply the slopes together, the result is -1.

we are given the line y=-3x-5

we need to find the slope of the new line. To do that, we can use this equation:

-3m=-1

divide by -3 on both sides

m=1/3

so the slope of the perpendicular line is 1/3

We can write our line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept, which is what we need

so far our equation is:

y=1/3x+b

we need to find b

we can substitute the point (-3,7) into the equation, since the line will pass through it to solve for b

so:

7=1/3(-3)+b

7=-1+b

8=b

so the y intercept of the line is 8; as a point it's (0,8)

hope this helps!

Answer:

So the answer is 2^-3

Step-by-step explanation:

The principle is the same no matter what the base.

Log_2 (7) + Log_2(3/28) - Log_2(6)

+ means multiply

- means divide

Log_2(7 * 3/28 /6)

Log_2(7/6 * 3/28)

Log_2(1/2 * 1/4)              3 divides into 6 twice. 7 divides into 28 four times

log_2 (1/8)

This is equivalent to 2^(-3)

Answer:

the answer is 915

Step-by-step explanation:

tell me if I'm wrong okay

Answer:

70

Step-by-step explanation:

since you are solving for the middle angle, you solve for the average for both angles on the side

(112+28)/2=70

x=70

Hope that helps :)

Answer:

A Bill le pagan $14 cada hora.

Step-by-step explanation:

Para conocer la cantidad que a Bill le pagan cada hora, se define una ecuación.

Una ecuación es la igualdad existente entre dos expresiones algebraicas conectadas a través del signo de igualdad en la que figuran uno o varios valores desconocidos, llamadas incógnitas, además de ciertos datos conocidos. Es decir, una ecuación se define como una igualdad establecida entre dos expresiones, en la cual puede haber una o más incógnitas que deben ser resueltas.

En este caso, es conveniente definir la siguiente incógnita:

Si cada hora que trabaja Bill aparta $6 para dárselos a su mamá, entonces cada hora recibirá: x - 6

Bill trabaja 3 horas al día, por lo que en ese día recibirá 3horas*(x-6). Y si la cantidad total con que se queda cada día es $24, entonces la ecuación a resolver será:

3*(x -6)= 24

Resolviendo, obtienes:

3*x - 3*6= 24

3*x - 18= 24

3*x= 24 +18

3*x= 42

x= 42÷ 3

x= 14

Entonces, a Bill le pagan $14 cada hora.

Answer:

I dont know xDDDDDDDDDD

Answer:

a₅₇ = 214

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₅ = 6 and a₉₂ = 354 , then

a₁ + 4d = 6 → (1)

a₁ + 91d = 354 → (2)

Subtract (1) from (2) term by term to eliminate a₁

0 + 87d = 348

87d = 348 ( divide both sides by 87 )

d = 4

Substitute d = 4 in (1) and solve for a₁

a₁ + 4(4) = 6

a₁ + 16 = 6 ( subtract 16 from both sides )

a₁ = - 10

Then

a₅₇ = - 10 + (56 × 4 ) = - 10 + 224 = 214

Answer:

4.05

Step-by-step explanation:

1.25+2+0.8

3.25+0.8

4.05

Answer:

4.05

Step-by-step explanation:

did the math

Answer:

4

Step-by-step explanation:

Multiply 4/3 to both sides to cancel out the 3/4 on the left.

Next, subtract 8 from both sides to cancel out the 8 on the left.

This should result in the equation x = 4!

Answer:

x = 4

Step-by-step explanation:

3/4 times x = 3/4x

3/4 times 8 = 6

9 - 6 = 3

3 / (3/4) = 4

I hope this helps :)

Answer:

x=28

Step-by-step explanation:

Sum of all the angles in the triangle add up to equal 180

90 + x + 6 + 2x = 180

combine like terns

96 + 3x = 180

subtract 96 from each side

180-96=84

96-96 cancels out

3x=84

divide each side by 3

84/3=28

3/3 cancels out

x=28

The1AndOnlyMarkus

=========================================

Explanation:

The quadrilateral shown is a kite since we have adjacent sides that are the same length (due to the similar tickmarks). The diagonals of any kite intersect to form a 90 degree angle.

The triangle in the lower left corner has the three angles of

Those three interior angles must add to 180. This is true of any triangle.

90+(x+6)+(2x) = 180

3x+96 = 180

3x = 180-96

3x = 84

x = 84/3

x = 28

Answer:

26

Step-by-step explanation:

6+10+10=26

Answer:

80m²

Step-by-step explanation:

area of rectangle-&10m×6m=60m²

10m-6m=4m

10m×4m=40m²

area of triangle->40m²÷2=20m²

area->60m²+20m²=80m²

Answer:

B

Step-by-step explanation:

You just count the dots and check the tables.

Answer:

200

Step-by-step explanation:

just look up 2% of 4 is what and you will get the same answer

Answer:

P=152

A=79

Step-by-step explanation:

add all the sides

the answer is A. fggggggggtggg

Answer: 281.25 milligram

Step-by-step explanation:

Given

Milligrams of aspirin left after t hours is given by

[tex]\Rightarrow a=500(\frac{3}{4})^t[/tex]

for [tex]t=2\ hr[/tex]

[tex]\Rightarrow a=500(\frac{3}{4})^2\\\Rightarrow a=500\times (0.75)^2=281.25\ \text{milligram}[/tex]

Answer:

900

Step-by-step explanation:

Answer:

Answer: 12×75

= 900

Step-by-step explanation:

Hope this helps

Yes you are correct! This equation will make a parabola. The width when the arch is at ground level would be the x-intercepts, or zeros, of the parabola.

The vertex point is (0,12)

the axis of symmetry is 0

The zeros are (-4,0) and (4,0)

using the zeros take away the negative because something cant be negative feet wide and add the numbers together (4+4)

Your answer is 8

i attached the graph

Hope this helps you!

P.S. Can i get brainliest? :)

Answer:

Explanation:

1 quart = 4 cups

1 gallon = 16 cups

Yesenia buys 1 quart -> 4 cups

AND 1/2 a gallon -> 8 cups

4 cups from quart + 8 cups from 1/2 gallon = 12 cups total!

Answer:

AC = 12

Step-by-step explanation:

From the question, we have that BD is perpendicular to AC

This means that it is at 90 degrees to the base

so we have two similar right triangles

Let us use Pythagoras’ theorem to get the measure of one of the legs (AD and DC)

Let us call the leg x

We have the Pythagoras’ theorem stating that the square of the hypotenuse (the side facing the right angle; 10 here) is equal to the sum of the squares of the two other sides

10^2 = x^2 + 8^2

100 = x^2 + 64

x^2 = 100-64

x^2 = 36

x = √36

x = 6

AD = DC = 6

AC = 2 * AD

AC = 2 * 6

AC = 12