Solve the equation using subtraction,
3x-4y=-7
3x+y=13

Answer:

look at it

Step-by-step explanation:

Answer: 750 miles

Step-by-step explanation:

The gas mileage is 75 miles per 1/2 gallon of gasoline.

First find how many miles it can go on 1 gallon of gasoline:

= 75 ÷ 1/2

= 150 miles

If the scooter can go 150 miles on 1 gallon, the number of miles it will go on 5 gallons is:

= 5 * 150

= 750 miles

Answer:

It is 35 as you said !

but the nth term of it is : Y= 4X-1 .

Step-by-step explanation:

Hope this helps u <3

Answer:

solving \(100x^2-4=0\) we get \(x=\frac{-1}{5}\:,\:x=\frac{1}{5}\)

Step-by-step explanation:

We need to solve \(100x^2-4=0\)

We know that \(10^2=100 \: and\: 2^2=4\)

Replacing with the squares

\(100x^2-4=0\\(10x)^2-(2)^2=0\)

We can use the formula: \(a^2-b^2=(a+b)(a-b)\)

Applying formula

\((10x+2)(10x-2)=0\\10x+2=0\:,\:10x-2=0\\10x=-2\:,\:10x=2\\x=-2/10\:,\:x=2/10\\x=\frac{-1}{5}\:,\:x=\frac{1}{5}\)

So, solving \(100x^2-4=0\) we get \(x=\frac{-1}{5}\:,\:x=\frac{1}{5}\)

The value of x and y in the algebra (3x - y, 2) = (2, x + y) ​ are 1 and 1 respectively.

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Given the algebra:

(3x - y, 2) = (2, x + y) ​

Therefore, equation:

3x - y = 2        (1)

Also:

x + y = 2        (2)

From both equations, solving simultaneously:

x = 1, y = 1

The value of x and y are 1 and 1 respectively.

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Answer:

840

Step-by-step explanation:

7000×2×6 ÷ 100. since it is 2%

= 840

Answer:

60 sopomores

Step-by-step explanation:

Let X denote the event prefer amusement park on a field trip

The probability that a sophomore will opt for a class trip to an amusement park would be 8/20 = 2/5 based on survey results

P(X) = 2/5

Based on this probability, if the number of sophomores is 150 then expected number of sophomores who prefer the amusement park trip

E(X) - P(X) x N where N is the total number of sophomores

E(X) = 2/5 x 150 = 60

Joe finishes the route at 10.50 am.

To determine the time Joe finishes the route, we need to consider the time he overtakes Priya and the speeds of both individuals.

Priya started at 9.00 am and walks at a constant speed of 6 km/h. Joe started 30 minutes later, at 9.30 am, and overtakes Priya at 10.20 am. This means Joe catches up to Priya 1 hour and 20 minutes (80 minutes) after Priya started her walk.

During this time, Priya covers a distance of (6 km/h) × (80/60) hours = 8 km. Joe must have covered the same 8 km to catch up to Priya.

Since Joe caught up to Priya 1 hour and 20 minutes after she started, Joe's total time to cover the remaining distance of 16.8 km is 1 hour and 20 minutes. This time needs to be added to the time Joe started at 9.30 am.

Therefore, Joe finishes the route 1 hour and 20 minutes after 9.30 am, which is 10.50 am.

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Answer:

the tops coordinates are A(0,6) B(4,6) C(6,4) D(2,4)

bottom A(0,3) B(2,3)C(3,2)D(1,2)

Step-by-step explanation:

Answer:

the tops coordinates are A(0,6) B(4,6) C(6,4) D(2,4)

bottom A(0,3) B(2,3)C(3,2)D(1,2)

Step-by-step explanation:

Answer: f(9)= -55

Step-by-step explanation:

A double cheeseburger costs less than a head of broccoli due to lower ingredient costs, a more efficient manufacturing process and some more reasons which are listed below:

Firstly, cheeseburgers are typically made with cheaper ingredients, such as pre-made patties, processed cheese, and pre-made buns. The manufacturing process is also more streamlined and efficient, which further reduces cost. Additionally, the demand for cheeseburgers is typically higher than that for broccoli, which helps to keep prices low.

On the other hand, broccoli requires more labor to harvest and process. It also requires more storage space, which drives up costs. The demand for broccoli is typically lower than for cheeseburgers, which also keeps prices higher.
Additionally, broccoli is more labor-intensive and requires more storage space, which further drives up its cost.

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The row numbers along the left side of the worksheet are 1, 2, 4, 5, 6. We can observe that there is a missing number in the sequence, specifically the number 3. Therefore, based on the pattern, we can deduce that row 3 is missing from the worksheet.

Based on the given information, the row numbers along the left side of the worksheet are 1, 2, 4, 5, 6, with a missing number in the sequence, which is the number 3.

The presence of the numbers 1, 2, 4, 5, and 6 indicates that rows corresponding to those numbers exist in the worksheet. However, there is no row with the number 3 mentioned in the sequence. Thus, we can conclude that row 3 is missing from the worksheet.

It is important to note that the missing row could be intentional or accidental, but based on the given information, we can deduce that there is a discontinuity in the row numbering, specifically the absence of row 3.

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The "hypothesis of no change," "status quo," and "conventional wisdom" are all alternative names for the null hypothesis. Unless there is overwhelming evidence to the contrary, the null hypothesis is assumed to be correct.

H0: u = 1: u ≠ 1,400

When testing hypotheses with the P value, the null hypothesis is rejected if?

The evidence against the null hypothesis is stronger when the p-value is smaller (closer to 0).If the p-esteem is not exactly or equivalent to the predetermined importance level α, the invalid speculation is dismissed;The null hypothesis is not rejected otherwise.

A statement of expectation or prediction that will be tested by research is called a research hypothesis. Read up on the subject that interests you before coming up with your research hypothesis.

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The coordinate of point G after a rotation of 180° is (4,2).

The complete question is added as an attachment

Rotation is a given a rigid motion or transformation which refers to movement of a figure around a center of rotation.

In this question it is asked to find the coordinates of the new vertices after the 180 degrees rotation, which is define or represented by the rule:

(x, y) = (-x, -y)

From the figure, we have

G = (4,2)

So, we have

G' = (-4,-2)

Hence, the image is (-4,-2)

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Answer:

D. G'(4,2)

Step-by-step explanation:

So first of all you count all the blocks, so it will be 16 blocks (4x4) sideways and horizontal.

A = 16/4 marked blocks = 25%

B = 16/8 marked blocks = 50%

C = 16/6 marked blocks = ?

D = 16/10 marked blocks = 62,5%

So answer would be A

Answer:

45%

Step-by-step explanation:

18 divided 40 =

18/40 =

9/20 = .45

.45 <- move the decimal to 2 spaces to the right =

45%

Answer:

4 1/2 cups of butter

Step-by-step explanation:

1 1/2 cups = 3/2 cups

3/2 x 3 = 9/2

9/2 = 4 1/2

The cone should have its maximum volume. V=1/*3r2h is the formula for calculating the volume V of a cone with height h and radius r.

The cone has a volume of

V=πr2h/3

Therefore, we must calculate the values of r and h in terms of R. R is the diameter of the cone's top-circular circle, and h is the cone's height.

R is the cone's slant height, and it serves as the hypotenuse of a right triangle.

R2 = h2 + r2, or r2 = R2-h2.

So V = (1/3)π

[R2-h2]

h = (π/3)[R2h-h3]

You must take the derivative of the cone's volume, set it to zero, then solve for h to determine the cone's maximum volume.

dV/dh=(π/3)[R2-3h2]

R2-3h2=0 --> h2=R2/3 -> h = R/√3

Now we can determine r:

r2=R2-R2/3 = (2/3)R2

The volume formula with r and h substituted:

V = (π/3)

r2h = (π/3)(2R2/3)

(R/√3)

V(R)=2πR3/(9√3)

The complete question is:

A cone-shaped drinking cup is made from a circular piece of paper of radius R by cutting out a sector and joining the edges CA and CB. Find the maximum capacity of such a cup (Your answer may depend on R).

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Answer:

x=-2, y=-4

Step-by-step explanation:

Substitute x=y+2

Simplify [ 7y +10 = -18 ]

Substitute y = -4

Simplify x = -2

Answer:

5

Step-by-step explanation:

you have to look at the temperature in the picture and look at how it slopes down and predict.

Answer: B

Step-by-step explanation:

Answer:

52.195 miles

Step-by-step explanation:

84 km to miles is 52.195 miles

predicted value of the slope , A regression model called simple linear regression uses a straight line to calculate the association between one independent variable and one dependent variable.

When modeling the relationship between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method. Simple linear regression is used when there is only one explanatory variable, and multiple linear regression is used when there are numerous variables.

A regression model called simple linear regression uses a straight line to calculate the association between one independent variable and one dependent variable. Both variables ought to have numerical values.

When the parameters are linear, a regression equation (or function) is said to be linear in statistics. Although the predictor variables can be transformed in ways that result in curvature, the equation must be linear in the parameters.

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in linear regression, the fitted value is the:  predicted value of the dependent variable

When you enter the values of the predictors, factor levels, and other inputs into a statistical model, the predicted mean response value is known as the fitted value.

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The mathematical expression y(x,t) = Asin(kx)sin(wt) provides a way to describe the behavior of a standing wave in terms of its amplitude, frequency, and location along the string.

At time t=0,

the standing wave can be mathematically expressed as

y(x,0) = Asin(kx)sin(w*0) = Asin(kx)sin(0) = 0.

This means that the displacement of the string is zero at time t=0.

However, it is important to note that this does not mean that the string is not moving at all. Rather, it means that the string is in a state of equilibrium at time t=0, with the maximum transverse displacement being A.

As time progresses, the standing wave will oscillate between the maximum positive and negative transverse displacement values, creating a pattern of nodes (points of zero displacements) and antinodes (points of maximum displacement).

The wave number k and angular frequency w are both constants that are dependent on the physical properties of the string and the conditions under which the wave is being produced.

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Answer: 29

Step-by-step explanation:

3x2= 6

4x2=8

3x5=15

6+8+15= 29

hoped I helped you a bit! Good luck! :)

In a fourth-grade class, students are making cookies to learn about fractions. They are measuring using measuring cups and spoons. This learning is best described as formal standard measurement.

A standard unit of measurement is a quantifiable language that helps everyone understand the association of the object with the measurement. It is expressed in inches, feet, and pounds, in the United States, and centimeters, meters, and kilograms in the metric system.

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Answer:

9 cm

Step-by-step explanation:

Arc length = θ/360 × 2πr

A circle has an arc with a measure of 120 degrees and a lenght of 3π cm. What is the diameter of the circle

Hence,

3π = 120/360 × 2πr

Diameter = 2r

3π = 1/3 × 2πr

Cross Multiply

9π = 2πr

2r = 9π/π

Note that :

Diameter = 2r

Hence,

Diameter = 9 cm

Answers:

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Work Shown:

AP = arithmetic progression, which is the same as arithmetic sequence

d = common difference

Notice how we scale up the d terms d, 2d, 3d, counting up by 1 each time.

So that must mean 25 is the same as 20+4d

20+4d = 25

4d = 25-20

4d = 5

d = 5/4

d = 1.25

and therefore,

We could convert these to fraction form, but I find decimal form is easier in this case.

Answer:

the function is quadratic because it have (2) turning points which is a sign of the ax² in rhe quadratic equation (ax²+bx+c)