A car travels 200 miles on 10 gallons of gas. At this rate, how many gallons will it need to travel 280 miles

We would need to multiply the first equation by -4 to eliminate the y variable when solving the system of equations by elimination.

The first equation is: 3x + 4y = 5

To eliminate the y variable when solving the system of equations by elimination, we need to multiply the first equation by -4. This is because when two equations are multiplied by the same number, any terms that have the same variable will be eliminated when the equations are added together.

Formula:

3x + 4y = 5

-4(3x + 4y = 5)

3x + 4y = 5

-12x - 16y = -20

Thus, we would need to multiply the first equation by -4 to eliminate the y variable when solving the system of equations by elimination.

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The required true statements for the given lines are 1 and 4.

An element or portion of a line with two endpoints is called a line segment. A line segment, in contrast to a line, has a known length. A line segment's length can be calculated using either metric measurements like millimeters or centimeters, or conventional measurements like feet or inches.

Statement A: E and C are co-linear.

It is true, E and C are lie in same line

statement 2: Lines I and m intersect at point D.

It is false, I and m intersect at point E.

statement 3: AE and DC are line segments on line I

It is false,because AE and DC are line segments placed in different line.

statement 4: EA and EC are rays on the line m.​

It is true, as EA and EC are in same line m.

Thus, required true statements are 1 and 4.

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Answer:

1 and 4

Step-by-step explanation:

f(x)=[tex]x^{2}[/tex]-x-4 + g(x)=x+4 = the product is with process [tex]x^2+7 x+8$$[/tex] . It is the solution of f(x) and g (x) .

[tex]$$f(x)=x^2-x-4, g(x)=x+4: x^2+7 x+8$$$$\begin{aligned}& \text { Find } f \circ g \text { given } f(x)=x^2-x-4, g(x)=x+4 \\& f \circ g=f(g(x)) \\& g(x)=x+4 \\& =f(x+4)\end{aligned}$$$$\begin{aligned}& f(x+4): \quad x^2+7 x+8 \\& =x^2+7 x+8\end{aligned}$$[/tex]

When a number is multiplied by another number, its products can be found. Because 9 x 3 Equals 27, for instance, 27 is a product of 9 and 3. What you get when you multiply two numbers together is their product. As a result, the product of three and four is twelve, followed by five and four, and so on.

A number that is obtained by multiplying two or more other numbers together is referred to in mathematics as a product. For instance, the result of multiplying 2 by 5 is 10 when the two numbers are combined. Byproducts include things like straw from grain harvesting operations, salt from desalination plants, sawdust from sawmills, and manure from feedlot operations.

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Answer:

1400 divided by 5 = 280 times 10 = 2800.

Step-by-step explanation:

Step-by-step explanation:

[tex]total \: months \: = 12 \times 10 = 120 \\ 5\%of \: 1400 = 70 \\ so \: 120 \times 70 = 8400 \\ total = 1400 + 8400 = 9800 \: dollar \\ thank \: you[/tex]

Answer:

I believe its C xd, have a good day hun <3

Step-by-step explanation:

The correct pair of ratios which form proportion is,

⇒ 4/3.2, 22/17.6

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

The ratios are;

A) 7/12, 21/24

B) 12/39, 8/36

C) 4/3.2, 22/17.6

Now,

For A;

⇒ 7 / 12 = 0.583

⇒ 21/24 = 0.875

Thus, It is not form a proportion.

For B;

⇒ 12/39 = 0.307

⇒ 8/36 = 0.222

Thus, It is not form a proportion.

For C;

⇒ 4/3.2 = 1.25

⇒ 22/17.6 = 1.25

Thus, It is form a proportion, because both the ratio are same.

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The graph indicates that the line segment's domain and range are [-5, 1] and [-4, 7, respectively.

The range of values a function may accept is referred to as its domain. These numbers represent the x-values of a function like f. (x). The range of values that a function may operate on is referred to as its domain. The value that the function returns following the insertion of the x value is this set. A function containing the independent variable x and the dependent variable y is said to be y = f(x). A value of x is said to be in the domain of a function f if it can be used to successfully create a single value y utilizing the value of x for that purpose.

The range refers to all potential values of y, while the domain refers to all conceivable values of x.

The graph indicates that the line segment's domain and range are [-5, 1] and [-4, 7, respectively.

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Answer:

D

Step-by-step explanation:

Answer:

50 cups of water

Step-by-step explanation:

If there is 30 cups of lemin juice, you would divide it by 6 cups to see how many portions there are. There are 5 portions of it, so you would multiply the 10 cups of water by 5 and then 6 cups of lemon juice by 5.

30 cups of lemon juice and 50 cup of water is what you would get

Answer: It would be 80 gallons of water that the dishwasher will use to wash 10 loads of dishes. To figure this out you would need to divide 32 by 4 which would equal 8. You would do this to figure out how many gallons of water a dishwasher needs to wash 1 load of dishes. Then you would multiply 8 times 10 which would equal 80.

Step-by-step explanation: hoped this helps thx for the points :D

The outer perimeter of the figure will be 62.3 ft.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

We have to given that;

The figure is shown in figure.

Now, The total outer perimeter is,

⇒ Outer perimeter of triangle = 12.2 ft + 6 ft

                                              = 18.6 ft

And, Outer perimeter of rectangle = 14 ft + 14 ft

                                                     = 28 ft

And, Outer perimeter of semicircle = πr

                                                      = 3.14 × 10 / 2

                                                      = 3.14 × 5 ft

                                                      = 15.70 ft

Thus, The total outer perimeter is = 18.6 ft + 28 ft + 15.70 ft

                                                    = 62.3 ft

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Answer:

4

[tex]4 \sqrt{2(2) + 8} = 4 \sqrt{4 + 8 } = 4 \sqrt{12} = 4(6) = 24[/tex]

The volume of a sphere with radius [tex]r[/tex] is [tex]\frac{4}{3}\pi r^3[/tex]. If the radius is multiplied by a constant [tex]k[/tex], then the new volume is [tex]\frac{4}{3} \pi (kr)^3[/tex], which is equal to [tex]k^3 \cdot \frac{4}{3} \pi r^3[/tex]. This means that the volume of the sphere is multiplied by [tex]k^3[/tex].

a. If the radius is doubled, the volume is multiplied by 8

b. If the radius is tripled, the volume is multiplied by 27

c. if the radius is quadrupled, the volume is multiplied by 64

Answer:

14

Step-by-step explanation:

You can determine the common ratio by dividing each number in the sequence from the number preceding it.

Answer:

y = -3x -27

Step-by-step explanation:

Parallel lines have the same slope.  So the slope will be -3

We need to solve for the y-intercept.  Us the x and y values from the point (-6,-9) to find the y-intercept

m = -3 given

y = -9  from the point( -6,-9)

x = -6  from the point (-6,-9)

y = mx + b  substitute in what you know and solve for b

-9 = (-3) (-6) + b

-9 = 18 + b  Subtract 18 from both sides

-9 -18 = 18 - 18 +b

-27 = b

The equation of the line is y = -3x -27

Answer: The probability of a random student to have either ginger or blonde hair is 19/28.

Step-by-step explanation: Before anything is done, let's look and see what information the problem gives us and what we need to find out. We know that there's a 5/14 chance for a student to be ginger, and a 9/28 chance for them to be blonde. We need to find out the combined chance, as we want to know what the chances are for a student to have either hair color.

In order to do this, all we need to find is the sum of both fractions. Because the fractions have different denominators, we need to change one of them to match the other. 14 multiplied by 2 is equal to 28.

If we multiply both the numerator and denominator of 5/14 by 2, we get 10/28. Now, all we have to do is add that to 9/28. When we do that, we get 19/28.

19/28 cannot be simplified, so it is our final answer. Hope this helps!

The required simplified solution of the given expression is 8√3.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression,
=  2 √ 3 + 2 √ 27

Since √27 = 3√3
= 2√3 + 2× 3√3
= √3 [2 + 6]
= √3[8]
= 8√3

Thus, the required simplified solution of the given expression is 8√3.

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Answer: 25

Step-by-step explanation:

I would choose both I and II for accomplishing the task of "When you want to Add or Remove Filters, you select Data in the ribbon, and then Filter. You would prefer to do this with one click, so you decide to add Filters to the Quick Access Toolbar."

Click the Commands Not in the Ribbon option in the Customize Quick Access Toolbar dialog box. Click Filter in the list of commands. Select the Add option. Press the OK button. You may use the FILTER function to filter a set of data depending on criteria you provide. The Filter option makes it simple to narrow down your search field.

Here,

I would choose both I and II to complete the task of "When you wish to Add or Remove Filters, go to the Data ribbon, then Filter. You'd prefer to do this with a single click, so you add Filters to the Quick Access Toolbar."

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Which of these is the algebraic expression for "5 times the sum of 2 and y?" (1 point)

A. 5 ⋅ 2 + y

B. 2 + 5 ⋅ y

C. 2(5 + y)

D. 5(2 + y) ✔

______________

Answer:

D 5(2+y)

Step-by-step explanation:

"5 times (so moltepli by 5) the sum (the answer of a addition equation) of 2 and y?".

hope this helps, pleas give Brainliest. :)

Answer:

A = 55t + 125

B = 40t + 275

B is cheaper for 13 hours

Step-by-step explanation:

Company A charges $55 per hour and a $125 equipment fee.

A = 55t + 125

Company B charges $40 per hour and a $275 equipment fee.

B = 40t + 275

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

For 13 hours

A = 55(13) + 125 = 840

B = 40(13) + 275 = 795

B is cheaper

Answer:

second part of the QUESTION Company B is $45 cheaper than Company A for 13 hours of landscaping.Step-by-step explanation:

If  sin (A + B) = 1

and tan (A - B) = 1/√3

value of:

We know that,

So,

A + B + A - B = 90 + 30

(A + A) + (B - B) = 120

2A = 120

A = 120/2

By putting value of A in 2

A - B = 30

60 - B = 30

-B = 30 - 60

-B = -30

tan 60 + tan 30

We know that

√3 + 1/√3

√3 × √3 + 1/√3

3 + 1/√3

[tex]4/√3[/tex]

sec A- cosec B

sec 60 - cosec 30

We know that

2 - 2 = [tex]0[/tex]

tan A+ tan B=4/√3

sec A- cosec B=0

0 is the  velocity of the object from t=0 to t=3.0s

Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object's movement.

Velocity is a vector expression of the displacement that an object or particle undergoes with respect to time.

Velocity is a vector expression of the displacement that an object or particle undergoes with respect to time .

The areas under a versus t gives the change in velocity. The initial velocity was 1.0 m/s.

The change in velocity from t = 0 to t = 3.0 s is

(1 + 0 - 2.0)m/s = -1 m/s. v(3s) = 1 m/s - 1 m/s = 0 m/s

Hence,  the velocity of the object from t=0 to t=3.0s is 0.

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The length of the rectangle's shorter side is 6cm and the of the rectangle's longer side is 12cm.

What is perimeter?

The total length of a shape's boundary, as used in geometry, is referred to as the shape's perimeter. Adding the lengths of all the sides and edges that surround a shape yields its perimeter. It is calculated using linear length units like centimeters, meters, inches, and feet.

Given:

A rectangle has a perimeter of 36 cm and an area of 72 cm^2.

Let the length of the rectangle's shorter side is 'a' and

the length of the rectangle's longer side 'b'.

As the perimeter is 36 cm.

⇒ Perimeter = 2(a + b)

               36 = 2(a + b)

                18 = a+ b

                 a = 18 - b

Now the area of rectangle is 72cm^2.

⇒                   Area = ab

                         72 = (18 - b)*b

                         72 = 18b - b^2

      b^2 - 18b + 72 = 0

b^2 - 12b - 6x + 72 = 0

b(b - 12) - 6(b - 12) = 0

         (b - 12)(b - 6) = 0

(b - 12) = 0,    (b - 6) = 0

b = 12,   b = 6

When  b = 12   ⇒  a = 18 - 12 = 6

When  b = 6   ⇒  a = 18 - 6 = 12

Hence, the length of the rectangle's shorter side is 6cm and the of the rectangle's longer side is 12cm.

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Answer:

If you want the improper fraction 43/8

If you want it in a decimal 5.375

Step-by-step explanation:

Answer:

5 3/8 or 5.375

Step-by-step explanation:

Assuming that your "and" means addition, 5 and 3/8 is

5 3/8 or 5.375

Step-by-step explanation:

No problem,

The first steps we take is we will subtract 11 from the equation and subtract it from the total so it is easier for us.

Its one of the basic rules of Algebra.

2x + 11 = 25

2x + 11 - 11 = 25 -11 (We subtracted from both sides.)

2x = 14 (Now we are going to divide.)

2x / 2 = x

14 / 2 = 7

Now if we put this equation together we get x = 7.

Hope this helps.

Comment down if you have any questions

Answer:

B. ST and TK intersect at a 90 degree angle.

I know this because you can see that in between STK, there is a square in the corner indicating a 90 degree angle.

Step-by-step explanation:

Hope it helps! =D