Solve the system of linear equations by substitution. Check your solution.
3
1. y = -2x + 4 and -x +3y = -9

2. 3 over 4x -5y = 7 and x= -4y +12

3. 5x - y= 4 and 2x + 2y = 16

4. 2x + 3y = 0 and 8x +9y = 18

Answer:

3/5 is 60/100 in it's simplest form.

Step-by-step explanation:

60 divided by 20 is 3 and 100 divided by 20 is 5.

So 3/5

Length of arc EG = 5.446 degrees and EG = 0.05446 degrees while written in hundredth.

Arc length is defined as the distance of two points along the boundary of a circle or a section of a curve. Arc length is not a straight line.

Arc length is calculated by the following formula.

arc length in radians

s = r Ф

where, r is radius of circle or curve

Ф is the central angle in radians

arc length is degrees

s = Ф×π/180 × r

r is the radius of circle

Ф is the central angle in degrees

π = 3.142

given, central angle EFG = 78 degrees.

EF = 4 units

EF is the radius of the given circle

as per the rules of a circle FG is also a radius

FG = FE = 4 units

Now arc length EG = ∠EFG × π/180 × EF

  Arc length = 78 × 3.142/180 × 4

                    =5.446 units

hence, arc length EG = 5.446 units or 5.446 degrees

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Answers:

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

Explanation:

We have a function since the curve passes the vertical line test. Recall that this test is where we try to draw a single vertical line through more than on point on the curve. Such a task isn't possible in this case.

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On the other hand, the curve does not pass the horizontal line test. It is possible to draw a single horizontal line through more than one point on the curve.

This function is not one-to-one since it does not pass the horizontal line test.

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

Because the graph isn't one-to-one, the inverse won't be a function. The process of finding the inverse involves swapping x and y; which means we swap from "horizontal line test" to "vertical line test".

The original function failing the horizontal line test would mean the inverse fails the vertical line test.

Answer:

41.5 inches

Step-by-step explanation:

You subtract 18.5 from 60.

Answer:

2,5,6

Step-by-step explanation:

-Z1 and 55*are vertical angles

-Z1 and 55*are angles on a straight line=180*

this means 180*=55*+Z1

make Z1 subject of the formula- Z1=180*-55*

- mZ2,55*,45* are all angles in the given triangle

since the sum of angles in a triangLe =180*

therefore-180*=Z2+55*+45*

make Z2 the subject of the formulary

Z2=180*-55*-45*

The equation of the line that passes through the point (3, 2) and is perpendicular to 3x + 5y = 15 is y = (5/3)x - 3

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of the line is y = m(1)x + c

The line passes through (3, 2) and is perpendicular to 3x + 5y = 15.

This means,

3x + 5y = 15

5y = -3x + 15

y = (-3/5)x + 3

m(2) = (-3/5)

Now,

m(1) x m(2) = -1

m(1) = -1 / ((-3/5)

m(1) = 5/3

Now,

(3, 2) = (x, y)

y = m(1)x + c

2 = (5/3) x 3 + c

2 = 5 + c
c = 2 - 5

c = -3

Thus,

The equation of the line is y = (5/3)x - 3.

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Graph of given system of equations is shown in figure with intersection point (2, 4).

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The system of equation is,

⇒ 2x + y = 8

⇒ - x + 2y = 6

By solving both equation , we get;

⇒ (x, y) = (2, 4)

Thus, The graph of system of equation intersect on point (2, 4).

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Therefore .as a result the supplied linear equation problem's solution is shown to be a linear equation with two variables.

Any model that meets the algebraic equation y=mx+b is said to be linear. B is the slope, and m is the y-intercept. Since both y and x are distinct factors, the preceding sentence is commonly referred as a "mathematical model with two variables." Two-variable linear equations are referred to as bivariate equations. There are several applications for linear equations, all of which end in zero. If an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept, it is classified as linear. The equation is written as Y=mx+b, where m denotes the slope and b

Here,

Assumed: 2x + 3Y = 0.

As a result, the following equation can be used to determine whether it is linear in two variables.

As x is the sole variable, as can be seen.

Therefore, it is a two-variable linear equation.

As a result, the supplied linear equation problem's solution is shown to be a linear equation with two variables.

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Answer:

what is the question?????

Answer:

Step-by-step explanation:

Given,

No. of families = 75

Out of 75 no. of families had cars = 42

Out of 1, no. of families can have cars

[tex] = \frac{42}{75} [/tex]

Therefore,

Out of 200 families, no. of families had cars

[tex] = 200 \times \frac{42}{75} [/tex]

[tex] =200 \times \frac{14}{25} [/tex]

= 8 × 14

= 112

Hence,

option B is correct as 112 families have cars out of 200 families (Ans)

The number 1.2 × 10⁶ is 11.5 times smaller in comparison to the number 1.38 × 10⁷.

The two given numbers here have been written using the method of powers of 10. In this method, very large or very small numbers are easily simplified and written by denoting the powers of 10. These power are integral in nature. Very large numbers are of the form y × 10ⁿ and very small numbers can be expressed in the form z × 10⁻ⁿ.

In the given problem, we have the numbers 1.2 × 10⁶ and 1.38 × 10⁷ and we have to tell how much the former number is from the latter. For this, we divide the two and easily find our solution. Before this, we have to make the powers of 10 in both numbers the same. We can rewrite the  1.38 × 10⁷ as 13.8 × 10⁶. Now, we divide the two and get-

⇒ 11.5

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Answer: B. 11.5

Step-by-step explanation: I took the test

Answer:

31.25

Step-by-step explanation:

25% * 125 = 25/100 * 125 = 1/4 * 125 = 31.25

Answer:

-12/20

hope this helps

have a good day :)

Step-by-step explanation:

Step-by-step explanation:

-3/5*4= -12/20

pls gimme brainliest I need it

Step-by-step explanation:

Bagong balita tungkol sa corona virus 19 sa Pilipinas, Ayon sa WHO at DOH mayroong 2.5M na vaccine na ang pinangangasiwaan ang Pilipinas at naitala ring mayroon ng 2.02M ang na bakunahan na indibiduwal.

The probability of the mean height of the sample of boys being at least 6 cm higher than the mean height of the sample of girls can be calculated using a two-sample t-test. The t-test compares the means of two samples and determines whether they are different from one another. The t-test requires the assumption of equal variances and normal distribution of the data.

What does the math term "probability" mean?

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

Given that the variances are equal, the t-test statistic can be calculated as:

t = (mean_boys - mean_girls - 6) / (sqrt(variance/n))

where n is the sample size of each group (8 in this case).

The probability of observing a t-value as extreme or more extreme than this value can be calculated using the cumulative distribution function (CDF) of a t-distribution with n1 + n2 - 2 degrees of freedom.

Because you are looking for the probability that the mean height of the sample of boys is at least 6cm higher than the mean height of the sample of girls, this is a one-tailed test. The probability of a one-tailed test can be calculated by subtracting the probability of a two-tailed test from 1.

The probability can be calculated using a t-distribution table with 14 d.f. or using software such as R or excel.

It is important to note that the sample size is very small, with 8 boys and 8 girls, which may not be representative of the population. As sample size increases the probability of getting a significant difference increases.

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Answer:

Start by laying out 7 tiles, and then adding 3. Whatever that number of tiles is equals x.

x = 10

10 - 3 = 7

The altitude of the right circular cone is 13.5 inches.

What is volume?

Volume is a term used in mathematics to describe the volume of three-dimensional space occupied by an object or a closed surface. The measurement of volume is done in cubic units, like m3, cm3, in3, etc. Volume is also referred to as capacity on occasion.

Here, the volume of a right circular cone varies jointly as the altitude and the square of the radius of the base

So our equation for volume becomes

V = c*h*r^2

where 'h' is altitude and

'r' is radius of base and

'c' is constant

Putting the values of V, h, r, in the volume equation.

we get,

154 = c*12*3.5*3.5

  c = 22/21

Now we have volume = 77 cu and radius of the base =7/3, so putting the values we get,

 77 = 22/21*h*7/3*7/3

or, h = 13.5 inches

Hence, the altitude of the right circular cone is 13.5 inches.

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Answer:

27 students

Step-by-step explanation:

We know

1 student = $5

1 chaperone = $8.25

5 chaperon = $8.25 x 5 = $41.25

Let's solve

$176.25 -  $41.25 = $135

So, we know that the total amount Mrs. Rubio collected from students is $135, then we take

135 / 5 = 27 students

So, 27 students went on the field trip.

Answer:

8.25 × 5 = 41.25

176.25 - 41.25 = 135

5 × x = 135

x = 27

Therefore, 27 students went.

Answer:

Picture Please

Answer:

In order to find area, multiply length x height

Step-by-step explanation:

Or in some cases, you can multiply length x height x width.

Answer:

y = 95

Step-by-step explanation:

x = 180 - 120

x = 60

y + 25 + 60 = 180

y = 95

Answer:

84 square cm

Step-by-step explanation:

Step-by-step explanation:

You should not photograph where unless you have permission?

A public park

Your backyard

A parade

Into someone's window

Answer:

The height is: [tex]h = 51.96cm[/tex]

Step-by-step explanation:

Given

[tex]L = 60m[/tex]

[tex]\theta = 60[/tex]

Required

The height of the kite

See attachment for illustration.

To calculate height (h), we have:

[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]

This gives

[tex]\sin(60) = \frac{h}{60}[/tex]

Make h the subject

[tex]h = 60 * \sin(60)[/tex]

[tex]h = 60 * 0.8660[/tex]

[tex]h = 51.96cm[/tex]

Answer:

The average speed is 9.8 meter per second in the first two seconds

Step-by-step explanation:

Complete Question

What is the average velocity of the rock in first 2 secs?

Solution

Distance travelled in first two seconds  

[tex]4.9 t^2 = 4.9*2*2 = 19.6[/tex] m

Average speed = [tex]S2-S1/2 = 19.6-0/2 = 9.8[/tex] meter per second  

Answer:

Step-by-step explanation:

y = 1/4x +10

and why do you use your phone, it makes it sooo much tuffer to read the question.   just "prt screen"   and paste into paint.. and save as a jpg,  and then post that pic..  don't use your phone.  :/

Answer: The second one

Step-by-step explanation: Because I said so nons

The solution is given by the equation A = how many diet sodas there are in the fridge compared to how many regular sodas

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the equation will be

The ratio of cows to pigs on a farm could be 1 to 3

So , the proportion is 1 : 3

Now , The ratio of chocolate chips to raisins in a cookie could be 5 to 9

So , the proportion is 5 : 9

Now , the number of diet sodas there are in the fridge compared to number of regular sodas is also a proportion

Hence , the proportion is number of diet sodas to number of regular sodas

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Answer:

x = 56.7

Step-by-step explanation:

cos theta = adjacent/hypotenuse

cos x = 17/31

x = arccos(17/31)

x = 56.7

The percentage increase in project completion time is 26.85%.

Percentage is a relative number that represents the hundredth part of any quantity. One percent (symbolized 1%) is one hundredth part; consequently, 100 percent denotes the complete amount and 200 percent defines twice the supplied amount. percentage. Mathematics percentile is a related topic. A percentage is a fraction of a whole represented as a number between 0 and 100. Nothing is zero percent, everything is 100 percent, half of everything is fifty percent, and nothing is zero percent. To calculate a percentage, divide the share of the total by the total and multiply by 100.

Here,

=(137-108)/108*100

=26.85%

The percentage increase in time to complete the project is 26.85%.

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