A service call for repairing your mower is $50 plus $80 per hour.
How many hours did it take to service your mower if the charge was
$90?

0.2 hours
0.5 hours
1.125 hours
2 hours

Answer:

c I think that is the answer

Answer:

24960(y-1)

I'm so glad to help you with this question hope you get it

Answer:

1738 kilometers

Step-by-step explanation:

Answer: Choice C

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

Explanation:

Recall that the form

[tex]z = r*\left[\cos\left(\theta\right)+i*\sin\left(\theta\right)\right][/tex]

can be abbreviated to

[tex]z = r*\text{cis}(\theta)[/tex]

The "cis" stands for the first letters of "cosine i sine" in that order.

The original fairly messy quotient can be shortened down to

[tex]\frac{90\text{cis}(\pi/4)}{2\text{cis}(\pi/12)}[/tex]

We have 90cis(pi/4) all over 2cis(pi/12) as one big fraction.

-------------------------------

Now we'll use this rule to divide two complex numbers

[tex]z_1 = r_1*\text{cis}(\theta_1)\\\\z_2 = r_2*\text{cis}(\theta_2)\\\\\frac{z_1}{z_2} = \frac{r_1}{r_2}*\text{cis}(\theta_1-\theta_2)\\\\[/tex]

As you can see, we divide the r1 and r2 values to form the final coefficient out front. The theta angles are subtracted to form the new argument.

-------------------------------

Let's apply that idea to what your teacher gave you

[tex]z_1 = 90*\text{cis}(\pi/4)\\\\z_2 = 2*\text{cis}(\pi/12)\\\\\frac{z_1}{z_2} = \frac{90}{2}*\text{cis}(\pi/4 - \pi/12)\\\\\frac{z_1}{z_2} = 45\text{cis}(3\pi/12 - \pi/12)\\\\\frac{z_1}{z_2} = 45\text{cis}(2\pi/12)\\\\\frac{z_1}{z_2} = 45\text{cis}(\pi/6)\\\\[/tex]

That last step then converts directly to the expression shown in choice C.

Answer:

Yes, because in 1 game you scored 12 points you didn't score multiple points in multiple games.

Answer:

b = 14 cm , h = 112 cm

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Given height is 8 times base , then h = 8b and A = 784 , then

[tex]\frac{1}{2}[/tex] × b × 8b = 784

b × 4b = 784

4b² = 784 ( divide both sides by 4 )

b² = 196 ( take square root of both sides )

b = [tex]\sqrt{196}[/tex] = 14

Then base b = 14 cm and height h = 8 × 14 = 112 cm

Step-by-step explanation:

m +2 = 4

m = 2

x = 1

y +1 = 2

y = 1

z = -1

Answer:

1 and 3/20 total, 15/20 of the fish are yellow tangs which would also be 75%.

Step-by-step explanation:

2/5 and 3/4 need to be converted into a fraction with a similar denominator. 5x4= 20, so 20 is our denominator.

To find the numerator, we need to multiply 2 by 4, which equals 8, and 3 by 5 which equals 15.

8/20 + 15/20 = 23/20 or 1 3/20

Answer:

She lives in the Southern Hemisphere.

Step-by-step explanation:

Answer:

y= 10/3 + x/3

Step-by-step explanation:

not sure how to explain this

The value of y for the given equation is y = [tex]\frac{x}{3}[/tex] + [tex]\frac{10}{3}[/tex].

A linear equation is an equation where the maximum power of the variable is one. A linear equation may contain more than one variables. However, the highest power of any variable must be one.

Here, a linear equation is given that contains two variables x and y.

Therefore, 6y - 2x = 20

⇒ 6y = 2x + 20

⇒ y = (2x + 20)/6

⇒ y = [tex]\frac{2x}{6}[/tex] + [tex]\frac{20}{6}[/tex]  

⇒ y = [tex]\frac{x}{3}[/tex] + [tex]\frac{10}{3}[/tex]

Hence, the value of y is   [tex](\frac{x}{3}+\frac{10}{3})[/tex]

Learn more about a linear equation here: https://brainly.com/question/21835898

#Tag #SPJ2

Answer:

1-a) 78+x+16+x+24=180°

118+2x=180

2x=62

so x=31

Step-by-step explanation:

thats a

Answer:

1a) x = 31

1b) x = 12

2) angle A = 60 degrees

3) x = 40 degrees

Step-by-step explanation:

Step-by-step explanation:

a_2=2a_4+2

a=_2+4_2

a=0

Step-by-step explanation:

Answer:

use Pythagoras theorem a^2+b^2 = c^2 where c is the longest side of the triangle (hypotenuse)

3^2 + 4^2 = c^2 (c is the length of the ladder)

9 + 16 = c^2

25 = c^2

c = √25 (square root)

c = 5

Answer:

blahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

what goes around always come back around

Answer:

The sales tax is $3.5

The total cost is $53.5

Step-by-step explanation:

To find the sales tax, you have to find the 7 percent of 50 dollars. In decimal form, 7% is 0.07. So you just have to multiply 0.07 to 50.

50 x 0.07 = 3.5

That's why $3.5 is the sales tax.

In order to get the total cost including sales tax. You just have to add $50 to the sales tax which is $3.5.

$50 + $3.5 = $53.5

Answer:

there should be 14, 45 pound boxes

Step-by-step explanation:

1000-190= 810

810/45=14 boxes

Dilation is the transformation that changes the size of a shape.

4 is a positive number so the shape will increase in size.

So after dilating every side by 4:

0,1

-0.5,0

1,0

We get

0,4

-2,0

4,0

Answer:

7 buckets.

Step-by-step explanation:

17.5 / 2.5 = 7

Answer:

7

Step-by-step explanation:

17.5/2.5=7

Co-ordinates will be

Answer:

I am not certified because I also struggle with these but-

it might be

A. t = -5h-4

Step-by-step explanation:

For the answer A in the paragraph it states that the temperature was 4 degrees BELOW 0 meaning we shall put as -4° and each HOUR it keep going down 5 degrees so I would suppose it would be answer A.

Answer:

205

Step-by-step explanation:

helicopter=65m

tap of the cliff=

the boy=350m

210=

that makes the answer 205

Answer:

205 meters

Step-by-step explanation:

The cliff is 350m, and the rescue helicopter is 65m above the top of the cliff.

This means that the helicopter is 415 meters above the bottom of the cliff.

The boy is 210m above the bottom of the cliff.

So, you have to subtract 210 from 415 to get 205.

Therefore, you have to lower the rescue 205m to reach the boy.

Step-by-step explanation:

a. 17 + 6/10 = (17 x 10) / (1 x 10) + 6/10 = 170/10 + 6/10 = 176/10 = 17,6

b. 45 + 6/100 = (45 x 100) / (1 x 100) + 6/100 = 4 500/100 + 6/100 = 4 506/100 = 45,06

c. 3 + 5/10 + 2/100

= (3 x 100) / (1 x 100) + (5 x 10) / (10 x 10) + 2/100

= 300/100 + 50/100 + 2/100

= 352/100 = 3,52

d. 6 + 7/10 + 8/100 + 9/1 000

= (6 x 1 000) / (1 x 1 000) + (7 x 100) / (10 x 100) + (8 x 10) / (100 x 10) + 9/1 000

= 6 000/1 000 + 700/1 000 + 80/1 000 + 9/1 000

= 6 789/1 000 = 6,789

e. 11 + 6/10 + 8/1 000

= (11 x 1 000) / (1 x 1 000) + (6 x 100) / (10 x 100) + 8/1 000

= 11 000/1 000 + 600/1 000 + 8/1 000

= 11 608/1 000 = 11,608

f. 84 + 1/100 + 3/10

= (84 x 100) / (1 x 100) + 1/100 + (3 x 10) / (10 x 10)

= 8 400/100 + 1/100 + 30/100

= 8 431/100 = 84,31.

Hope this helps!!

Answer:

4.6

Step-by-step explanation:

23/5=4.6

Answer:

We know that x is 2

Whilst y is 3

this can be changed due to it’s ratio

So in this code x+y=10

2+3=10

We can do it this way.

2+3=5 (add the ratios)

10/5=2 (Divide the sum by the number needed)

2*2=4 (multiply the quotient for each ratio)

3*2=6 (multiply the quotient for each ratio)

x is 4

y is 6

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day!!

We can solve this problem in two steps, Comprehension and Solving

I'll start off with comprehension.

Comprehension

We know that ratios are basically fractions as they both show comparison, so we can make x:y into [tex]\frac{x}{y}[/tex].

We also have another equation, making this problem a system of equations.

Now that we know what to do, we can begin solving!

Solving

We can solve this by first getting our two equations.

[tex]\frac{x}{y}=\frac{2}{3}[/tex]

We can simplify the 2nd equation so that we know what one variable is.

[tex]x+y=10\\x=10-y[/tex]

We can now input our second equation into the first equation.

[tex]\frac{10-y}{y}=\frac{2}{3}\\3(10-y)=2y\\30-3y=2y\\30=5y\\y=6[/tex]

If y is six, then we can use the second equation to solve for x.

[tex]x+6=10\\x=4[/tex]

We know that x is 4 and y is 6.

We can now check our answers.

1st Equation

[tex]\frac{4}{6}=\frac{2}{3}?\\[/tex]

[tex]\frac{2}{3}=\frac{2}{3}[/tex]

2nd Equation

[tex]4+6=10?\\10=10[/tex]

We've proven our answers to be right, therefore, x is 4 and y is 6.

Answer:

B' (3, 1 )

Step-by-step explanation:

Given

A (- 1, 3 ) → A' (- 3, 7 )

x- coordinate goes from - 1 → - 3 , that is - 2

y- coordinate goes from 3 → 7 , that is + 4

Translation rule is (x, y ) → (x - 2, y + 4 ) , then

B (5, - 3 ) → B' (5 - 2, - 3 + 4 ) → B' (3, - 1 )

Answer:

= 78

Step-by-step explanation:

Step One:

1 + 4= 5

Step Two:

5+9= 14

Step Three:

14+64= 78

= 78

Hope it helps :)

Answer: 441

Step-by-step explanation:

The formula for an arithmetic sum is

[tex]$\frac{\text{number of terms}}2 \cdot (\text{first term + last term})$[/tex]

We know that the [tex]\text{first term + last term} = -1 + 64 = 63[/tex]. So now all we need is the [tex]\text{number of terms}[/tex]. Well, if you draw each number onto the number line, you get something like

---|------|------|------|------|------|-----|------|-----|------|-----|------|-------|----------

 -1      0      1      2      3     4     5     6     7     8     9     10     11  ...

You can see that your numbers are spaced 5 apart, and they go from -1 all the way up to 64. So what you're really asking is, "how many segments of five can I draw from -1 up to 64?" The length of the line from -1 to 64 is 65 (think about it), so the number of line segments is 65/5 = 13. However, we didn't count 64 itself, since there's no line segment past it! So really there are 14 terms in this sequence. Thus the total sum is

[tex]$\frac {14}2 \cdot (63) = \boxed{441}.$[/tex]

Answer:

your friend has 6 more marbles

Step-by-step explanation:

7×2=14

10×2=20

20-14=6

Answer:

6

Step-by-step explanation:

First you multiply 7 by 2 because there is 2 marbles in each bag and there is 7 bags so that is 14 marbles

Then you multiple 2 by 10 because there is 10 bags with 2 marbles each which is 20.

20-14=6

Can I get brainliest?

true

Step-by-step explanation:

Answer:

3x-3

Step-by-step explanation:

So false if you Multiply

Answer:

[tex]169[/tex]

Step-by-step explanation:

[tex]13 \times 13 \times 1[/tex]

[tex] = 13 \times 13[/tex]

[tex] = 169[/tex]