Using the elimination method to solve
2 x-y=8
x + y = 20

Answer:

To travel 20 Km, the hybrid car needs 0.3125 gallons of fuel.

Step-by-step explanation:

Proportions

The hybrid car can travel 40 miles per gallon.

Since one mile is equivalent to 1.6 Km, the distance traveled per gallon is 40*1.6 = 64 Km.

Now the distance is expressed in Km, we can find the gallons needed to travel 20 Km, by calculating 20/64 = 0.3125.

To travel 20 Km, the hybrid car needs 0.3125 gallons of fuel.

Answer:

x = 45

Step-by-step explanation:

Find the missing angle first, a line is 180 degrees and for the missing angle there's a line cutting it. The outer angle is 170 so the inner angle is 10.

A triangle equals 180 degrees so:

125 + 10 + x = 180

135 + x = 180

subtract 135 from both sides

x = 45

Answer:

The distance between points C and D is 5.83

Step-by-step explanation:

We need to find distance between points C and D

Looking at the graph we can find coordinates (x,y) of points C and D

Coordinates of point C are: (-4,3)

Coordinates of point D are: (1,0)

The formula used to calculate Distance is:

[tex]Distance=\sqrt{(x_2-x_1)^+(y_2-y_1)^2}[/tex]

Putting values and finding distance between points C and D

[tex]x_1=-4, y_1=3, x_2=1, y_2=0[/tex]

[tex]Distance=\sqrt{(x_2-x_1)^+(y_2-y_1)^2}\\Distance=\sqrt{(1-(-4))^2+(0-3)^2} \\Distance=\sqrt{(1+4)^2+(-3)^2} \\Distance=\sqrt{(5)^2+(-3)^2} \\Distance=\sqrt{25+9}\\Distance=\sqrt{34}\\ Distance=5.83[/tex]

So, the distance between points C and D is 5.83

Answer:

(1/2 divided by 3/4)

Step-by-step explanation:

Answer:

4-3i

Step-by-step explanation:

Here, we want to select the option that best correlate

The real and the complex part can be represented as;

a + bi

In this case, a is the real, b is the complex

So we have that;

Real part 4 and imaginary coefficient of 3

That will be

4 -3i

Answer:b

Step-by-step explanation:

Answer:

The number will be -63

Step-by-step explanation:

Here, we want to give the number of the chosen 25th student

We can see that the numbering follows an arithmetic sequence where a = 9 and d which is the common difference is (6-9) = -3

Mathematically, we can calculate the nth term using the equation below;

Tn = a + (n-1)d

in this case, n = 25, a = 9 and d = -3

So we have

Tn = 9 + (25-1)-3

Tn = 9 -3(24)

Tn = 9-72

Tn = -63

Answer:

it will take 3 week to raise the height of 120 inch

Answer:

You need around 4 weeks to grow to 120 inches.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Graphing ordered pairs is only the beginning of the story. Once you know how to place points on a grid, you can use them to make sense of all kinds of mathematical relationships.

You can use a coordinate plane to plot points and to map various relationships, such as the relationship between an object’s distance and the elapsed time. Many mathematical relationships are linear relationships. Let’s look at what a linear relationship is.

Answer:

10.8 deg

Step-by-step explanation:

18% of 60 = 0.18 * 60 = 10.8

The high increased 10.8 deg

Complete question :

According to one source, 49% of plane crashes are due at least in part to pilot error. Suppose that in a random sample of 100 separate airplane accidents, 61 of them were due to at least in part to pilot error. Complete parts (a) and (b) below. Test the hypothesis that the proportion of airplane accidents due to pilot error is not 0.49. Use a significance level of 0.05.

Determine the null and alternative hypotheses. H0: p Ha: p

Determine the test statistic. Z = (Round to two decimal places as needed.)

Determine the p-value.

Answer:

H0: p = 0.49

Ha: p ≠ 0.49

Zstatistic = 2.45

Pvalue = 0.015

Reject H0, there is sufficient evidence to conclude that population proportion is not 0.49

Step-by-step explanation:

Claim: proportion of airplane accidents due to pilot error is not 0.49

Null and Alternative hypothesis :

H0: p = 0.49

Ha: p ≠ 0.49

Sample size (n) = 100

Number due in part to pilot error = 61

Sample Proportion ph = 61 / 100 = 0.61

Standard Error :

√(p*(1 - p) / n))

√(0.61 * (1 - 0.61) / 100))

√(0. 61 * 0.0039)

= 0.0487749

= 0.049 ( 3 significant figure)

Zstatistic = (ph - p) / SE

Zstatistic = (0.61 - 0.49) / 0.049

Zstatistic = 2.4489795 = 2.45

Using the p value from Z statistic calculator ; α = 0.05, 2 tailed test :

P value = 0.014687 = 0.015

P value < α

0.015 < 0.05

Since the p value is less Than α,

Reject H0, there is sufficient evidence to conclude that population proportion is not 0.49

Answer: A, $2,100

Step-by-step explanation:

2000x1.05=2,100

Answer:

yeah man good job im proud

Step-by-step explanation:

Answer:

You did a very good jod

Step-by-step explanation:

Hope this helped have an amazing day!

The option D is correct

O A. Belonging to a particular region or place

Answer: -2/3

Step-by-step explanation:

If you want to find the slope of something, the quick way is to use [tex]\frac{rise}{run}[/tex].

In this situation, the “rise” (change in y axis) is -2 because it’s going down and the “run” (change in x axis) is 3. Therefore, it’s -2/3.

The formula to find slope is:

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]

(I think, if I memorized it correctly)

The third line shows the solutions to n > 0.

The correct option is third line.

A horizontal line with uniformly spaced numerical increments is referred to as a number line.

The way the number on the line can be replied will depend on the numbers on the line.

The number's intended use is described in the question that goes with it, such as when graphing a point.

Locating numbers, comparing numbers, fractions and mixed numbers, decimals, integers, absolute value, addition, subtraction, inequalities, multiples, common denominators, and other mathematical concepts may all be taught using number lines, which are incredibly versatile manipulatives.

We have a number-line.

To find the number line that shows the solution, n > 0:

n is greater than 0.

At 0, there is an open dot circle.

And the line should be extended toward positive infinity.

Therefore, third line is required number line.

To learn more about the number lines;

brainly.com/question/24644930

#SPJ5

Answer:

460

Step-by-step explanation:

Answer:

Step-by-step explanation:

y= -2x+6

Y intercept is 6

X intercept is 3

Answer: 18/5

Step-by-step explanation: 9/1 • 2/5 = 3.6=18/5

Answer:

[tex]\frac{2}{45}[/tex]

Step-by-step explanation:

Just like you would divide 18 pounds of popcorn by 9 people, you should divide [tex]\frac{2}{5}[/tex] by nine. This will result in [tex]\frac{2}{5}[/tex] x  [tex]\frac{1}{9}[/tex] and that equals [tex]\frac{2}{45}[/tex].

Please mark brainliest. Thanks!!!

Answer:

5 guests

Step-by-step explanation:

Jeremiah party will chat $16 if he invites 4 guest

The first step is to calculate how much it will cost to feed one guest

$4 = 16 guests

1 guest= 16/4

1 guest = $4

Therefore if Jeremiah can afford to spend $20 then the maximum number of people that will be present can be calculated as

$4 = 1 guest

$20= 20/4

= 5 guests

Hence the maximum number of guest is 5 guests

Answer:

A) The parallelograms all have congruent sides and angles.

Step-by-step explanation:

Remember, a parallelogram in simple words is a flat shape (either a square, rectangle, or rhombus) that has four sides of equal length, and whose opposite angles are congruent.

In other words, Zach's blueprint using similar parallelograms would be chosen from either a square, a rectangle, or a rhombus, which all have congruent sides and angles.

Answer:

C

Step-by-step explanation:

I got it wrong because I listened to the other guy :\

Have a great day!

ALSO: PRESS PICTURE TO SEE PROOF, SORRY IT CAME OUT BLURRY, ONCE YOU PRESS IT, IT WILL BE NORMAL.

Answer:

Step-by-step explanation:

This means the cost of the item to you is $684. You will pay $684 for an item with an original price of $760 when discounted 10%. In this example, if you buy an item at $760 with a 10% discount, you will pay 760 - 76 = 684 dollars.

Answer:

the answer is $684

Step-by-step explanation:

760 x 10 /100= 76

760 - 76 = $684

Answer:

B.

Step-by-step explanation:

Answer:

the answer is A because none of the x-values or y-values repeat

Step-by-step explanation:

Answer:

C. 15²π

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Step-by-step explanation:

Step 1: Define

d = 30 m

Step 2: Find Area

Answer

2 apples per $1

Step-by-step explanation:

because 6 apples cost $3, so take 6 divided by 3 so you get 2 apples per dollar

Answer:

x=90 degree

y=30 degree

Step-by-step explanation:

Answer: a=8 b=-4

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Cost of a ticket = Total cost ÷ number of tickets

                         = 20 ÷ 5

                         = $ 4

2) Cost of 7 books  = $ 22

Cost of a book = 22 ÷ 7

                         = $ 3.11

Answer:

4 dollars each for 1st question and 3.1 dollars for second question