Choose an equivalent system of equations to the following system:

Fx + Gy = H
Qx + Ry = S

Answer: They will save $6

Step-by-step explanation:

Science Center

There are 12 students and tickets are 3 for $36.75. There are 4 groups of 3 students, so we can find the price for the science center by multiplication:

4 x 36.75 = 147

Zoo

There are 12 students and tickets are 4 for $51. There are 3 groups of 4 students, so we can find the price for the zoo by multiplying, too:

3 x 51 = 153

To find out how much a group of 12 will save by choosing the science center we subtract

153 - 147 = 6

They will save $6

Answer:

5518

Step-by-step explanation:

The quotient of 154, 504 divided by 28 is 5518 after applying the arithmetic operation, the answer is 5518.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.

It is given that:

The numbers are 154,504 and 28

From the question:

= 154,504 ÷ 28

Or

= 154,504/28

After applying the arithmetic operation:

= 5518

Thus, the quotient of 154, 504 divided by 28 is 5518 after applying the arithmetic operation, the answer is 5518.

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Answer: The answer is B 12

Step-by-step explanation:

Answer:

O Yes, (0, 2) is a solution

Step-by-step explanation:

The Solution of an Equation

Given the equation

-2x + y = -1

An ordered pair (a,b) is a solution of the equation if

-2a + b = -1

Let's test the point (0,2) to check if it's a solution of the equation:

Replacing x=0, y=-1

-2(0) + (-1) = -1

0 - 1 = -1

-1 = -1

Since the equation is satisfied, the pair (0,2) is a solution.

Answer: O Yes, (0, 2) is a solution

Answer:

No, (0, 2) is not a solution.

Step-by-step explanation:

I did the test

Answer:

Answr is: -2

Step-by-step explanation:

On the coordinate grid, the value of x when f(x)=1 is A

The graph is given as:

y = f(x)

When f(x) = 1, we have:

y = 1

On the coordinate grid,

When y = 1, the value of x is 3

Also, the point A is located at (3,1)

Hence, the value of x when f(x)=1 is A

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Answer:

x12

Step-by-step explanation:

Answer:

The answer is:

[tex]Q' = (-3, 3)\\\\R' = (-5, -3)\\\\S' = (-2, -2)\\\\T' = (0, 1)\\\\[/tex]

Step-by-step explanation:

All vertices of its quadrilateral were co-ordinated;  

[tex]T(-2, 1), \ Q(1, 3), \ S(0, -2), \ R(3, -3)[/tex] Therefore, we first undertake the operation correct: [tex]T(2, 0) \ QRST[/tex], there;

[tex]T(2, 0) \ QRST[/tex] [tex]\to T(-2 + 2, 1), \ Q(1 + 2, 3), \ S(0 + 2, -2), \ R(3 + 2, -3)[/tex]

[tex]T(2, 0) \ QRST[/tex][tex]\to T(0, 1), \ Q(3, 3), \ S(2, -2), \ R(5, -3)[/tex]

A preimage (x, y) will be the image in the next phase R-y-axis reflecting mostly on the y-axis (-x, y)  and we've got it;  

R y-axis [tex](T(0, 1), \ Q(3, 3), \ S(2, -2), \ R(5, -3)) = \ T'(0, 1), \ Q'(-3, 3), \ S'(-2, -2), \ R'(-5, -3)[/tex]From which we get [tex](Ry-axis \ T(2, 0)) \ (QRST = T'(0, 1), \ Q'(-3, 3), \ S'(-2, -2),\ R'(-5,-3).[/tex]

Step-by-step explanation:

4m−3(2m+1)

Distribute:

=4m+(−3)(2m)+(−3)(1)

=4m+−6m+−3

Combine Like Terms:

=4m+−6m+−3

=(4m+−6m)+(−3)

=−2m+−3

Answer:

=−2m−3

Answer:

-2m-3

Step-by-step explanation:

leave 4m alone in the beginning

distribute -3 to 2m and 1

-3(2m+1)

(-6m-3). Then put the 4m behind the 6

4m-6m-3(subtract like terms)

-2m-3 (final answer)

Answer:

3 hours

Step-by-step explanation:

11 / 33 =3

11 x 3 = $33

Answer:

3

Step-by-step explanation:

If brody earns $11 for each hour, and ends up with a total of $33 dollars, use the 11x=33. x= the amount of hours he worked. Move the 11 over to the other side by dividing each side by 11. Then 33 divided by 11 is 3 so x=3.

Answer:

-1/5

Step-by-step explanation:

6/5=-18/x

6/5×-1/18=x

-1/15=x

Answer:

-15

Step-by-step explanation:

[tex]\frac{6}{5} = \frac{-18}{x}[/tex]

cross multiply

6 × x = -18 × 5

6x = -90

x = -90/6

x = -15

hope this helps you!

Answer:

quoitent will be 0.086368

hope it help u dear

Answer:

A. y = 1.5m + 7

B. at 7 months the baby will weigh 17.5 pounds

C. Since the baby is born weighing 7 pounds, at 0 months he will weigh 7 pounds. This tells us that the y-intercept will be seven. And since the baby is gaining 1.5 pounds every month, this means that the slope will be 1.5 and m will be the x of our y = mx + b equation. For part B, we simply plug in 7 to m and solve by multiplying 1.5 and 7 to get 10.5, then adding 7 to get 17.5.

Answer:

Yes

8 ft

Step-by-step explanation:

The equation of the arch is

[tex]y=-0.0625x^2+1.25x+5.75[/tex]

Differentiating with respect to [tex]x[/tex] we get

[tex]\dfrac{dy}{dx}=-2\times 0.0625x+1.25=-0.125x+1.25[/tex]

Equating with zero

[tex]0=-0.125x+1.25\\\Rightarrow x=\dfrac{-1.25}{-0.125}\\\Rightarrow x=10[/tex]

Double derivative of the equation

[tex]\dfrac{d^2y}{dx^2}=-0.125<0[/tex]

So, the function is maximum at [tex]x=10[/tex]

[tex]y=-0.0625x^2+1.25x+5.75=-0.0625\times 10^2+1.25\times 10+5.75\\\Rightarrow y=12[/tex]

The function is maximum at [tex](10,12)[/tex]

So, the truck's center should be below the point [tex](10,12)[/tex] for maximum width to pass through.

Now truck is 11 feet tall so [tex]y=11[/tex]

[tex]11=-0.0625x^2+1.25x+5.75\\\Rightarrow -0.0625x^2+1.25x-5.25=0\\\Rightarrow x=\frac{-1.25\pm \sqrt{1.25^2-4\left(-0.0625\right)\left(-5.25\right)}}{2\left(-0.0625\right)}\\\Rightarrow x=6,14[/tex]

The maximum width of the truck can be [tex]14-6=8\ \text{ft}[/tex] if it is 11 feet tall.

So, the truck which has a width of 7 feet can fit under the arch.

The x-intercepts of the graph of the quadratic function is 1, 3.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0

Now the quadratic function is,

y = x² - 4x + 3

Now for x-intercepts, y = 0.

⇒ x² - 4x + 3 = 0

Factoring we get,

⇒ x² - 3x - x + 3 = 0

⇒ x(x - 3) - 1(x - 1) = 0

⇒ (x - 1) (x - 3) = 0

Thus we get,

x = 1, 3

this is the required x-intercepts of the graph of the quadratic function.

Thus, the x-intercepts of the graph of the quadratic function is 1, 3.

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Answer:

Please see the explanation.

Step-by-step explanation:

As we know that the slope-intercept form of the equation is

[tex]y=mx+b[/tex]

Now, comparing the given equations with the slope-intercept form

a) y = 4/5x + 3

Here:

m = 4/5

Therefore, the slope of the equation y = 4/5x + 3 is: m = 4/5

b) y = -x + 1

Here:

m = -1

Therefore, the slope of the equation y = -x + 1 is: m = -1

b) y = 2x

Here:

m = 2

y-intercept = b = 0       ∵ y = mx+b here b is the y-intercept

Therefore, the slope of the equation y = 2x is:

m = 2 and

y-intercept = b = 0

Answer:

5%

1 of the 20 crayons is red, so...

1/20 = 5% or 0.05

Answer: 5%

Step-by-step explanation:

Answer:

x = 25

Step-by-step explanation:

Answer:

x= 25

Step-by-step explanation:

Add 2 given sides then subtract 180

Answer:

when u subtract fractions u have to make sure they have a common denominator so u can subtract evenly so say I have 2/5 - 4/6 i have to make a common  denominator of 30 so the 2/5 would turn to 12/30 and the 4/6 would be 20/30 then you do 20-12 to get 8/30 and with mixed fractions u do the same exept  multiply the denominator by the whole then add the neumorator to the number u just got and add them together and then subtract.  

hope this helped :)    

Step-by-step explanation:

The domain and the range of the function F(x) = [tex]e^x[/tex] will be domain is all real numbers and the range is y > 0. The correct option is C.

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x).

A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

Given function  [tex]e^x[/tex] when we plot the graph of the function it is observed that all the graph of the function varies in the positive part of y. The ranges of the function lie at y > 0 and the domain will be all the real numbers.

Therefore the domain and the range of the function F(x) = [tex]e^x[/tex] will be domain is all real numbers and the range is y > 0. The correct option is C.

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Answer:

The answer is 254.72

Step-by-step explanation:

hope that helps

Change 53% to a decimal. Doing so, we get 0.53.

Let n = the number we are looking for.

The word "is" in math means to use the equal sign.

135 = 0.53n

Divide both sides by 0.53.

135/0.53 = 0.53n/0.53

254.7169811321 = n

Rounding to the nearest tenths, we get

n = 254.72

Done!

Answer:

e= 25/75

f= 33%

Step-by-step explanation:

I got it right!!

Answer:

e = 25/75 ?

f = 33%

Step-by-step explanation:

i did this and i think i got right, but let me know if its wrong :)

Answer:

[tex]x=5\\y=5[/tex]

Step-by-step explanation:

I solved using substitution

−1.6x−3.2y=−24

−1.6x=−24+3.2y

−1.6x=3.2y−24

[tex]x=-\frac{3.2y-24}{1.6\\}[/tex]

2.6x+2.6y=26

−2.6y+39=26

−2.6y+39=26

−2.6y=26−39

−2.6y=−13

y =5

​​

Answer:

Step-by-step explanation:

GCF of 9,12 and 6 is 3. 3 can go into both evenly

Answer:

the answer is 3.

Step-by-step explanation:

3"2=6

3*3=9

3*4=12

hope this helps and feel free to give brainiest

Answer: 4

Step-by-step explanation:

Answer:

She must ride 4 or more times

Step-by-step explanation:

3t+ 10 ≥22

Subtract 10 from each side

3t+ 10-10 ≥22-10

3t ≥12

Divide each side by 3

3t/3 ≥12/3

t ≥4

She must ride 4 or more times

9514 1404 393

Answer:

Step-by-step explanation:

The lateral surface area is the product of half the circumference, and the slant height:

  LA = πrh = π(11.4 cm)(23 cm) = 262.2π cm²

The total surface area adds the area of the base to that:

  A = πr² +LA = π(11.4 cm)² +262.2π cm² = (129.96 +262.2)π cm²

  A = 392.16π cm²

Answer:

The statements which are true:

A. Line 4y = −16 is horizontal.

B. Line 3x = 27 is vertical.    

D.  For either line, one of the coordinates of all the points is always the same value.                

56

20/35 = 35/x

20x = 32(35)

Divide both sides by 20 to solve for x

X = 1120/20

X = 56

The missing side length of the given image is 56 so x = 56 will be the correct answer.

A line section that can connect two places is referred to as a segment.

Lines are very useful and common in geometry we daily use them.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

In other words, the line is a straight figure which has zero width and infinite length but if we take a segment then it is called a line segment which will be finite.

Given in the image 3 lines are parallel and intersect two lines that are randomly inclined.

Let's say the missing length is x

By geometrical similarity rule

x/32 = 35/20

x = 32 × 35/20

x = 56 hence 56 will be the missing side length of the given figure.

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