if conditional is true and it’s_____ is true, then the conclusion is true

Answer:

m∠CBD = 60 degrees

Step-by-step explanation:

2x + 14 + x + 7 = 90       The equations equal 90

3x + 21 = 90                   Combine like terms

     - 21  - 21                    Subtract 21 from both sides

3x = 69                           Divide by 3 on both sides

x = 23

Plug 23 in the equation

2(23) + 14 = 60

Answer:

90°

Step-by-step explanation:

supplementary angles, when added = 180°

so if one angle is 90°, then the other angle, its supplement, is 180 - 90 = 90°

Answer:

90°

Step-by-step explanation:

The supplement of an angle is what, when added to it, equals 180°.

So if we have 90°, we would subtract 90° from 180° to get 90°.

The supplement of 90° is 90°.

The complement of 85° is 5°, since they add up to equal 90° a right angle. So the complement of 90° is 0°

Answer:

-3

explanation:

3/4 times negative 4 = -3

Answer:

-3

Explanation:

.75 * -4 = -3

Answer: [tex]0.44 mi/min[/tex]

Step-by-step explanation:

We are asked to find the "skydiver's average change  of altitude per minute", this means we have to find the variation of the skydiver's distance in a given time. This is its velocity, which is given by:

[tex]V=\frac{\Delta d}{\Delta t}[/tex]

Where:

[tex]V[/tex] is the skydiver's velocity

[tex]\Delta d=0.66 mi[/tex] is the distance the skydiver has descended

[tex]\Delta t=1.5 min[/tex] is the time in which the skydiver has descended its distance

Solving:

[tex]V=\frac{0.66 mi}{1.5 min}[/tex]

[tex]V=0.44 mi/min[/tex] This is the skydiver's average change  of altitude per minute

Answer:

Susan has saved 20 Dollars so far

Answer:

Step-by-step explanation:

Domain = {-9,5,6,-4,3}

Range= {3,1,9,7,2}

Domain is x value and range is y value

The domain and range of the function {(-9,3), (5,1), (6,9),(-4,7),(3,2)} is -9,5,6,-4,3 and 3,1,9,7,2.

The domain of a function is the values of variable that is entered in a function.

The range of the function is the value that is coming out from solving a function.

We are given the function {(-9,3),(5,1),(6,9),(-4,7),(3,2)}.

Domain of the function is the first element that is -9,5,6,-4,3. and the range of the function is the second element that is 3,1,9,7,2.

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Answer:

The correct option is second one i.e 7x = 3

Therefore the results from adding the equation in this system is

[tex]7x=3[/tex]

Step-by-step explanation:

Given:

Equations as

[tex]2x+y=8[/tex]      .......................1

[tex]5x-y=-5[/tex]        .......................2

To Find :

Result when adding equation 1 and 2 = ?

Solution

On adding equation 1 and 2 the "y" term will get cancel and the like terms will combine that is add (2x and 5x ) and ( 8 and - 5)  as shown below

           2x     +    y    = 8

           5x    -   y     = - 5

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

           7x     + 0        =   3

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

Therefore the results from adding the equation in this system is

[tex]7x=3[/tex]

Answer:

It's 3x=3

Step-by-step explanation:

I did it in edg!  But its correct

Answer:

Baseball

Step-by-step explanation:

There are 30 people in total who voted in survey

9 Soccer

7 Basketball

5 Tennis

3 Hockey

6 Baseball

If 30 represents 100% of them then we divide 30 by 100 then multiply by 20

30 ÷ 100 × 20 = 6 is the number of people likes baseball as their favourite.

Answer:

Step-by-step explanation:

Since g is a one-one function, its inverse exists.

Let (g^-1)(-6) = t

We have to find t

-5

(g^-1)(-6) = t inplies

-6 = g(t)

-6 = 5t + 19

5t = -25

t = -5

Answer:

1) adult ticket: $14, child ticket: $9

Step-by-step explanation:

Step-by-step explanation:

Let r be the radius of the circle

The area of a circle is  A = pi * r^2

We know the area is 49 pi

pi r^2=49 pi

r^2=49 pi/pi

r^2=49

r=sqrt 49

r=7

The circumference of the circle is calculated as

C = 2pi*r

C = 2 *pi *(7)

C = 14*pi   cm

pi=22/7

C=14*22/7=2.22=44 inches

so,C =44 inches

Answer:

24 cubic inches

Step-by-step explanation:

1 ft = 12 inches

convert all dimensions to inches

1/4 ft = 1/4 * 12= 3 inches

1/6 ft = 1/6 * 12 = 2 inches

1/3 ft = 1/3 * 12 = 4 inches

Volume of a box = L*W*H

= 3 * 2 * 4

= 24 cubic inches

Therefore 1/72 ft will be 1/72 * 12

= 1/6 inches

Answer:

x = -3

y = -5

(-3, -5)

Step-by-step explanation:

We can solve this system of equations by elimination. This is when you either add OR subtract the equations (depending on the situation) to eliminate one variable, allowing you to solve for the other. To do this, we need one variable with the same coefficient in BOTH equations.

9x - 4y = -7         X3=>     27x - 12y = -21        (New equation is still equivalent)

7x - 12y = 39

Both equations have negative "12y" in them. If you subtract - 12y from - 12y, you get 0, eliminating the variable. Subtract the two equations.

.    27x - 12y = -21         Subtract each term in the equation.

-      7x - 12y = 39         Keep equal signs aligned

.       20x - 0 = -60        'y' eliminated. -12y - (-12y) = 0

.             20x = -60        Isolate 'x'

.       20x/20 = -60/20        Divide both sides by 20

.                  x = -3        Solved for 'x'

Substitute 'x' for -3 in any equation.

9x - 4y = -7        

9(-3) - 4y = -7         Substitute. Simplify multiplication.

-27 - 4y = -7         Isolate 'y' now

-27 + 27 - 4y = -7  + 27        Add 27 on both sides

-4y = 20        Left side cancelled out 27, right side simplified by adding.

-4y/-4 = 20/-4        Divide both sides by -4

y = -5       Solved for 'y'

Therefore the solution is when 'x' is -3 (x = -3) and when 'y' = -5 (y = -5).

You can also write the solution as an ordered pair, like coordinates, which are written (x, y). The solution would be (-3, -5).

Answer:

Step-by-step explanation:

Equation 1

3x - 4y = 16

multiplying equation by 3

it becomes

9x - 12y = 48  ------------(A)

equation 2

2x + 3y = 5

multiplying equation by 4

8x + 12y = 20 -------------(B)

Now comparing equation A & B

17x = 68

x = 4

putting the value of x in equation 2

2(4) + 3y = 5

8 + 3y = 5

3y = -3

y = -1

So, solution is (4 , -1)

Answer:

0.76

Step-by-step explanation:

Answer:

.76

Step-by-step explanation:

Just add them

Answer:

y = 10

Step-by-step explanation:

y = 4(3) - 2

y = 12 - 2

y = 10

Answer:

10

Step-by-step explanation:

plug the 3 in and multiply it by the 4. subtract the 2 and thats it!

Answer: A

Step-by-step explanation: Acute and isosicles

Answer:

The answer is A. Hope I helped you! ;)))

Step-by-step explanation:

The triangle is acute and is isosceles.

answer: 137%

to convert from decimal to percent, you multiply the decimal by 100.

Answer: 137%

Step-by-step explanation:

100% is equal to 1. Therefore, 1.37 is equal to 137% if you move the decimal point correctly. Multiplying by 100 is also another way to do it.

Step-by-step explanation:

Weight of all female giraffes = 5x kg

Weight of all male giraffes = 7y kg

Mean weight of all giraffes

[tex] = \frac{5x + 7y}{5 + 7} \\ \\ = \frac{5x + 7y}{12} \: kg[/tex]

The mean weight of all the giraffes, in terms of x and y, is calculated by adding the total weights of both female and male giraffes and then dividing by the total number of giraffes. The expression for the mean weight is (5x + 7y) / 12.

To find the mean weight of all the giraffes in terms of x and y, we must first calculate the total weight of female and male giraffes separately and then combine these totals to find the overall mean.

For the 5 female giraffes: Total weight = 5 × x = 5x kg

For the 7 male giraffes: Total weight = 7 × y = 7y kg

Then, we add these together to get the combined total weight: Combined total weight = 5x + 7y kg

Since there are 5 + 7 = 12 giraffes in total, we then divide the combined weight by the number of giraffes to find the overall mean weight.

Overall mean weight = (5x + 7y) / 12

Answer:

The correct option is B. rotation 90° counterclockwise about the origin.

Step-by-step explanation:

The correct option is B. rotation 90° counterclockwise about the origin.

None of the other transformations result in ∆A'B'C in the third quadrant.

Answer:

B.  rotation 90° counterclockwise about the origin

Step-by-step explanation:

Answer:

The simplified fraction form of 15% is 320

Answer:

7900/100*80 = 6320

Step-by-step explanation:

In a crowd of 7,900, there are 1,580 children, representing 20% of the total population.

To find out how many children are in a crowd of 7,900 when the proportion is 20%, you can use the following steps:

1. Calculate the proportion (20%) as a decimal: 20% = 0.20.

2. Multiply the crowd size (7,900) by the proportion (0.20) to find the number of children:

Children = 7,900 * 0.20 = 1,580.

So, in a crowd of 7,900, there are 1,580 children.

This calculation is based on the assumption that the 20% proportion represents the fraction of the crowd that consists of children. If you have additional information about the crowd's composition or the nature of the 20%, such as whether it includes adults or other groups, the calculation may differ.

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Answer:

The correct answer would be 8x - 12.

Step-by-step explanation:

2 ( -6 + 4z)

= (2) ( -6 + 4z)

= (2) ( -6) + (2) (4z)

= 12 + 8z

= 8z - 12

Hope this helps!

Answer:

Expanded answer: 8z - 12

OR

Factored answer: 4(2z - 3)

Step-by-step explanation:

Solve using the distributive property. This is when you multiply the number outside the brackets by each number inside the brackets.

2(-6 + 4z)

= (-6)(2) + (4z)(2)        Multiply each number by 2

= -12 + 8z        When you can, try not to start with a negative number.

= 8z - 12        This is the answer in expanded form

Refactored:

"8z" and "12" have a GCF (greatest common factor) of 4. Take out "4" from the expression to factor.

8z - 12

= 4( 8z/4 - 12/4 )        Divide each term by 4.

= 4(2z - 3)         This expression is equivalent when you need it fully factored.

Zeke can make a profit of $10.80 per share if he sells his stocks now. His broker expects a decline in the future, so selling now would be a good decision.

Zeke's situation pertains to the world of finance and stock investment. He bought 10 shares of a company's stock at $21.20 per share and it's currently priced at $32 per share. By subtracting the buying price from the current price, we can calculate the profit per share which is $10.80.

So, if he sells the stocks now, he will make a profit of $10.80 per share. For 10 shares, that's a total profit of $108 (10 shares * $10.80 per share). If his broker expects a decline in the price, Zeke ideally should sell the shares now to profit before the prices go down.

Generally, the rate of return on a financial investment in a share of stock can be from dividends paid by the firm or as a capital gain achieved by selling the stock for more than you paid. In this case, Zeke's profit would be considered a capital gain.

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Answer:

The Second One or B. You were correct.

Step-by-step explanation:

The associative property is when the numbers of an equation stay the same, but the parentheses move.

The product will break even when x is greater than or equal to 18 units, i.e., x ≥ 18, as revenue (R) exceeds or equals cost (C) at this production level.

To find the intervals where the product will at least break even, we need to determine the values of x for which the revenue (R) is equal to or greater than the cost (C), i.e., R ≥ C.

Given:

Cost function C(x) = 55x + 450

Revenue function R(x) = 80x

We can set up the inequality:

80x ≥ 55x + 450

To isolate x, we can subtract 55x from both sides:

80x - 55x ≥ 55x - 55x + 450

This simplifies to:

25x ≥ 450

Now, divide both sides by 25 to solve for x:

x ≥ 450 / 25

x ≥ 18

So, the product will break even when x is greater than or equal to 18. This means that for any production level of 18 units or more, the revenue will be equal to or greater than the cost, ensuring that the product is at least breaking even. Therefore, the interval where the product will at least break even is x ≥ 18.

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To break even, the revenue (R) must equal the cost (C). Setting the revenue function R = 80x equal to the cost function C = 55x + 450 and solving for x, we find that the product will break even when x >= 18 units, meaning the company will begin to make a profit at any production level greater than 18 units.

To find where the product will at least break even, we need to determine when the total revenue
(R) is greater than or equal to the total cost (C). The cost to produce
x units of wire is given by C = 55x + 450, and the revenue by R = 80x. To break even,
R must be equal to C:

80x = 55x + 450

Solving for x gives us:

80x - 55x = 450

25x = 450

x = 450 / 25

x = 18

Therefore, the product will break even at x = 18 units. For any number x greater than 18, R will be greater than C, which means profits are being made. The interval for breaking even is thus x >= 18.

Answer:

M divided by 22 = total number of gallons used for the trip (m/22)

Step-by-step explanation:

Let's identify what we know:

1) Niki's car can do 22 miles per gallon (mpg)

So, what formula would we use to find out how many gallons were used if Niki drove m (number of miles) miles?

Well, let's pretend that Niki drove 154 miles! How would we solve it? Let's create a formula:

154/22 = number of gallons used

so, 154 is m!

m/22 = number of gallons used.

D is the correct answer! :)

Answer:

D.

m/22

Step-by-step explanation:

Answer:

The length of the line segment is 10 units.

Step-by-step explanation:

Let us call the given two points: (x₁, y₁) = (2, -3) and (x₂, y₂) = (8, 5).

The distance between two points, d = [tex]$ \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2} } $[/tex]

Here, [tex]$ (x_1, y_1) = (2, -3) $[/tex] and

[tex]$ (x_2, y_2) = (8, 5) $[/tex]

Therefore, distance, d = [tex]$ \sqrt{(8 - 2)^2 + (5 - (-3))^2 $[/tex]

[tex]$ = \sqrt{6^2 + 8^2} $[/tex]

[tex]$ = \sqrt{36 + 64} $[/tex]

[tex]$ = \sqrt{100} $[/tex]

= 10 units.

Hence, the answer.