Which expression is equivalent to 2 (14x-37+28x+12.2-5y-17.5)?
A. 84x-16y-10.6
B. 28x-6y-10.6
C. 42x-8y-5.3
D 84x-16y-5.3

Answer:

so we need to subtract the situps from the jumping jack so

3/5-1/2

first we need to simplify to the same bottom number

6/10=3/5

5/10=1/2

6/10-5/10=1/10

so 1/10 of 60 is

1/10*60=6

Hope This Helps!!!

Answer: Option 1

Step-by-step explanation:

The second and third options do not contain the line y = 2x+6, so they can be eliminated.

Between the first and fourth options, only the first option shows the line y=2x+6 being shaded below, so it is the answer.

The graph of the inequality is graph A

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

y ≥ ( 1/5 ) ( 4x - 1 )   be equation (1)

y ≤ 2x + 6   be equation (2)

Now , To graph the system of inequalities, we can start by graphing the boundary lines for each inequality and then determine which region of the coordinate plane satisfies both inequalities.

For the first inequality, y >= (1/5)(4x-1), we can start by graphing the line y = (1/5)(4x-1), which has a y-intercept of -1/5 and a slope of 4/5. We can draw this line as a solid line, since the inequality includes the "or equal to" condition:

And , for the second inequality, y <= 2x+6, we can graph the line y = 2x+6, which has a y-intercept of 6 and a slope of 2. We can also draw this line as a solid line, since the inequality includes the "or equal to" condition:

Hence , the inequality is solved and the solution to the system of inequalities is the shaded region above the line y = (1/5)(4x-1) and below the line y = 2x+6, including the boundary lines.

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The Keith will spend $16 to rent 1 movie and 2 video games from the store.

Let's assume the rental fee for each movie is "m" and the rental fee for each game is "g".

From the given information, we can form the following system of equations:

3m + 2g = 25 (Calvin's rental)

2m + g = 14.75 (Samantha's rental)

We can solve for "m" and "g" by using elimination or substitution method. Here, we will use substitution method.

From the second equation, we can solve for "g" in terms of "m":

g = 14.75 - 2m

Substituting this into the first equation, we get:

3m + 2(14.75 - 2m) = 25

Simplifying this, we get:

3m + 29.5 - 4m = 25

-m + 29.5 = 25

-m = -4.5

m = 4.5

Now that we know the rental fee for each movie is $4.50, we can find the rental fee for each game by substituting "m" into either of the original equations:

2(4.5) + g = 14.75

g = 14.75 - 9 = 5.75

So the rental fee for each game is $5.75.

To find how much Keith will spend to rent 1 movie and 2 video games, we can simply add up the rental fees:

1(4.5) + 2(5.75) = 16

Therefore, Keith will spend $16 to rent 1 movie and 2 video games from the store.

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Answer:D

Step-by-step explanation:

this expression gives the original price reduce by 15%. The second term adds the tax to the price after the sale has been applied

Answer:

y = 2x - 1

Step-by-step explanation:

gradient is defined as rise over run.

we need coordinates that are both whole numbers. from looking at the graph, I have (0, -1) and (1, 1)

for the run, 1 - 0 = 1

for the rise, 1 - -1 = 2

2 / 1 = 2

it crosses the y-axis at -1

therefore in the form y = mx + b, the equation is y = 2x - 1

Answer:

Period = 4 units

Step-by-step explanation:

Standard form of a tangent function:

[tex]f(x)=\sf A \tan(B(x+C))+D[/tex]

The tangent function has a vertical asymptote whenever cos(x) = 0

The tangent function does not have an amplitude because it has no maximum or minimum value.

Given function:

[tex]y=\tan \left(\dfrac{\pi}{4}\left(x-\dfrac{\pi}{3}\right)\right)[/tex]

Therefore:

Answer: 4 units

Step-by-step explanation:

The score of Jane is 27 and the score of Claire is 18.

A linear equation is an equation where highest degree of variables is 1.

Let the score of Jane's mark is x

Given, that score Jane is 9 more than the score of Claire.

So, the score of Claire= x-9

Given, the score of Jane is 60% of the sum of their scores.

the sum of their scores is = x+x-9= 2x-9

from the above it is clear that

the linear equation will be

x=60%(2x-9)

⇒x=0.6(2x-9)

⇒x= 1.2x -5.4

⇒1.2x-x= 5.4

⇒0.2x= 5.4

⇒x= 5.4/0.2

⇒x= 27

So the score of Jane is 27.

As score Jane is 9 more than the score of Claire.

the score of Claire is = x-9= 27-9=18

Therefore the score of Jane is 27 and the score of Claire is 18.

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Answer:

m = -3

c = 2

Step-by-step explanation:

This equation is given in slope-intercept form. The general structure of these equations is:

y = mx + c

In this form, "m" represents the slope and "c" represents the y-intercept. As you have been given the entire equation, the only thing you have to do is rearrange the equation to find which values correspond with the variables.

y = 2 - 3x  -----> y = -3x + 2

Therefore,

m = -3

c = 2

Answer:

C

Step-by-step explanation:

The contrapositive is always logically equivalent to the original statement.

Answer:

C

Step-by-step explanation:

The standard equation is:  y = (-2)x² + 8x + 5

A quadratic equation is a second-order polynomial equation in a single variable x ax²+bx+c=0, with a ≠ 0 .

We know,

y = ax² + bx + c

For (-1, -5)

-5 = a - b + c..................(1)

For (0, 5)

5 = c

For (1, 11)

11 = a + b + c.....................(2)

From (1) and (2), we get

a=-2

and b= 8

Hence, the standard equation is:

y = (-2)x² + 8x + 5

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Answer:

[tex]x = \frac{y - 5}{3}[/tex]

Step-by-step explanation:

Hello!

To solve for x, we have to first isolate the variable.

The value of x is [tex]\frac{y - 5}{3}[/tex].

Answer:

A. a = 2s - b -c

Step-by-step explanation:

Rearrange the equation in a way that you have only a on one side. When solving equations you can add, subtract, multiply or divide by the same number/variable/expression on the both sides.

[tex]s = \frac{a + b + c}{2}[/tex]

Multiply by 2 to get rid of the fraction.

[tex]s \cdot 2 = \frac{a + b + c}{2} \cdot 2[/tex]

On the right side the 2 cancels out:

[tex]s \cdot 2 = a + b + c[/tex]

On the right side next to a are still b and c. But we want a alone. Subtract b.

[tex]s \cdot 2 - b = a + b + c - b[/tex]

b - b on right side gives 0.

[tex]s \cdot 2 - b = a + c + 0[/tex]

The step above is usually skipped, because number + 0 = number.

[tex]s \cdot 2 - b = a + c[/tex]

Next to a there is still c. Subtract c.

[tex]s \cdot 2 - b - c = a + c - c[/tex]

c - c on the left is 0.

[tex]s \cdot 2 - b - c = a[/tex]

So our answer is:

[tex]s \cdot 2 - b - c = a[/tex]

It can be rewritten to (change sides):

[tex]a = s \cdot 2 - b - c[/tex]

And s · 2 can be rewritten to 2s:

[tex]a = 2s - b - c[/tex]

Answer:

True

9 * 7 = 63

Therefore when x=7 9x=63

The equation given is true since 7 is the solution.

An equation is the statement of two expressions located on two sides connected with an equal to sign.

The two sides of an equation is usually called as left hand side and right hand side.

The given equation is 9x = 63.

There is only one variable here, x.

We have to solve this equation and find whether the solution is 7 or not.

Solution of the equation is the value of x.

9x = 63

Divide both sides of the equation by 9, then, we get,

9x / 9 = 63 / 9

9 gets cancelled in the left hand side and 63/9 = 7.

So we get,

x = 7

So the given statement is true that for 9x = 63, the solution is x = 7.

Hence the given equation is true.

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Answer:

D

Step-by-step explanation:

Answer:

between 3 and 4

Step-by-step explanation:

3 squared is 9 and 4 squared is 16 so something in between 3 and 4 can be squared to equal 10 (since a square root is the opposite of squaring)

Answer:

Answer:

maybe minus 12 there was no number of cows

Answer:

x - 12

Step-by-step explanation:

x represents the number of cows since we do not know the number

then "minus 12"

bada bing bada boom

The proof is shown below

Two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

Given:

∠CBA ≅ ∠FBA; ∠CAB ≅ ∠FAB

Now, ∠BCA is congruent to ∠BFA      [reflexive property of congruence]

Also, AB= AB  (common)

Thus, we can conclude that Δ BCA≅ Δ BFA  by ASA criteria.

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Answer: down below

Step-by-step explanation:

1. How many hay bales did the farmer sell?

To do that, you need to divide the weight of a hay bale by the total weight of the hay bales that the farmer sold.

That will be 24,300 / 75 = 324 bales

2. Divide the new number (26,700) by the same number 75.

26,700 / 75 = 356 hay bales

Subtract the bales from last year to the bales from this year:

356 bales - 324 bales = 32 bales

In the given equation, the value of x is approximately 75°

From the question, we are to determine the value of x

The given equation is

sin x ≈ 0.965926

If sin x ≈ 0.965926

Then,

x ≈ sin⁻¹(0.965926)

∴ x ≈ 75.0°

Hence, the value of x is approximately 75°

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The geometric mean of 9 and 9/4 will be 9/2 or 4 1/2.

It should be noted that in order to find the geometric mean of the numbers given, give to find the square root and then multiply.

This will be:

= ✓9 × ✓9/4

= 3 × 3/2

= 9/2 = 4 1/2

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Answer:

mAngle1 = 33°

Step-by-step explanation:

The three angles in a triangle add up to 180°.

31° + 116° + x = 180°

147° + x = 180°

Subtract 147° from both sides.

x = 33°

The measure of Angle1 is 33°

Answer:

this one

Step-by-step explanation:

Answer:

$ 603.77

Step-by-step explanation:

Find unit rate of  dollars per hour :   359/22

   now multiply by hours :    359/22  * 37 = 603.77

Answer:

$603.77

Step-by-step explanation:

if they work 22 hours a week

and once a week they make $359

therefore divide to get the hourly rate

359/22 = 16.3181818182

they make 16.3181818182 per hour

then we have to multiply the hourly by the hours worked

16.3181818182 * 37 = 603.772727273

since this is in dollars ($) we round to the second decimal place (hundredths)

meaning we cut off the numbers after it

603.77║2727273

then, determine if the thousandths place is equal to or greater than five or less than five

since it is a 2 then the 7 stays the same

if it were a 5 or greater we would round up, making the 7 in the hundredth place turn into an 8.

therefore your answer is $603.77

hope this helps:)

Answer:

1.5 is the number.

Explanation:

Let the number be 'n', this is 100% - original number.

When increased by 40%, 100% + 40% = 140%.

140% × n = 2.1

1.4n = 2.1

n = 2.1/1.4

n = 1.5

Hence, the original number is 1.5.

The reflection of any point across the x-axis:

  ⇒ means that x-coordinate remains the same

     ⇒ but the y-coordinate is multiplied by '-1'

In this case:

 ⇒ (50,25) becomes (50,-25)

Answer: (50,-25)

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Answer:

(50, -25)

Step-by-step explanation:

When we reflect a point across the x-axis, only the sign of the y-value the changes. In this case, the y-value is 25, so after the reflection it becomes -25. The x-value stays the same. So your resulting point is (50, -25)

Answer:

well done mr wong lol

Step-by-step explanation:

what's the question is it the percent he beat his prediction?

if it is then its 48 divided by 45 times 100

this equals 106.67%

then take this away from his prediction percent originally which is 100%

106.67-100= 6.67%

According to the plot of [tex]f(x)[/tex], whose curve passes through the point (-5, -3), we have

[tex]f(-5) = -3 \implies f^{-1}(-3) = \boxed{-5}[/tex]