What is the equation of the line that passes through the point (3,-4) and has a
slope of -5/3?

The probability of not drawing a queen from a standard deck of 52 cards is 12/13

In a standard deck of 52 cards, we have

Total number of cards = 52

Queen cards = 4

The probability of not drawing a queen from a standard deck of 52 cards is calculated as

P = 1 - P(Queen)

Where

P(Queen) = Queen cards/Total number of cards

So, we have

P(Queen) = 4/52

Substitute P(Queen) = 4/52 in the equation P = 1 - P(Queen)

This gives

P = 1 - 4/52

Evaluate the difference

P = 48/52

Simplify

P = 12/13

Hence, the probability of not drawing a queen from a standard deck of 52 cards is 12/13

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Answer:

12/13

Step-by-step explanation:

Got it right on the test.

Answer:

Correct answer : -21x - 4

John's error : He added the number inside the parenthesis, instead he should've divided first then added the number.

I hope you get it

Answer:

A

Step-by-step explanation:

Examples of each type of number are shown:

(A) A real number between √13 and √14:

(B) An irrational number between 5 and 7:

Therefore, examples are:

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Answer:

35 average minutes at practice.

Step-by-step explanation:

Answer:

What do I find?

If it's the mean then the answer is 35.

Step-by-step explanation:

34, 30, 45, 30, 40, 38, 28 ==> 7 numbers

34+30+45+30+40+38+28=245

245/7=35

The length in inches of the triangle will be (A) 6, 8, 10.

As a result, in item a:

As a result, it is a right triangle.

Item b:

It's not a perfect triangle.

Item c:

It's not a perfect triangle.

Item d:

Therefore, the length in inches of the triangle will be (A) 6, 8, 10.

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The correct question is given below:
Rosemary is cutting 3 wooden sticks to build part of a kite frame. The part she is building must be a right triangle. Which choice below could be the lengths, in inches, of the sticks rosemary cut?

A. 6, 8, 10.

B. 2, 5, 10.

C. 5, 6, 7.

D. 2, 3, 5.

Answer:

56.25º, 45º and 78.75º respectively

Step-by-step explanation:

True statements about reflection are:

The description of reflection is similar to three options given in the question which are option (A), (B) and (E).

Therefore, true statements about reflection are:

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The correct question is given below:
Which of the following statements are true about a reflection?

Select all that apply.

Answer:

A. An image created by a reflection will always be congruent to its pre-image.

B. Corresponding angles and segments are always congruent in a reflection of a figure.

E. An image and its pre-image are always the same distance from the line of reflection.

Are correct !!

The length of each lap around the lake is 8976 feet.

We are informed that Diane cycled 8 laps around the lake. Also, Diane covered total distance of 71,808 feet. So, length of 8 laps = total distance covered by Diane. Hence, the length of each lap will be calculated by performing division.

Length of 1 lap = total distance covered by Diane ÷ length of 8 laps

Keep the values in formula to find the length of each lap.

Length of each lap = 71,808 ÷ 8

Performing division to find the length of each lap

Length of each lap = 8976 feet

Thus, the length of each lap around the lake is 8976 feet.

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Answer:

by comparing the two triangles,

we take the ratio of each side to be equal

Step-by-step explanation:

By comparing the sides of the triangles,

we take the ratio of each sides to each other

de/cb = fe/ca

de.ca = fe.cb

fe = (de.ca)/cb

fe = (7* 18)/14

fe = 9

The measure of side FE of triangle DEF is FE = 9

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be represented as ABC

Now , let the second triangle be DEF

And triangle ABC and DEF are similar triangles

So , corresponding sides of similar triangles are in the same ratio

And , AE = EB and CF = FB

From the similar triangle theorem ,

EF / AC = DE / CB

Substituting the values in the equation , we get

EF / 18 = 7 / 14

Multiplying by 18 on both sides of the equation , we get

EF = ( 7 x 18 ) / 14

EF = 18/2

EF = 9

Therefore , the value of EF is 9

Hence , the measure of side EF is 9

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The length, width, and height of the box in factored form is  -x (x-5)(x +2) which is option A

The box is in the shape of a cuboid

The volume of a cuboid = l b h, where l is the length, b is the breath or width and h is the height

Putting the values of width and volume in the formula

x³ - 3x²-10x = l ×(5-x) × h

This becomes a cubic equation

l × h = (x³-3x²-10x)/ 5-x

l × h = -x²-2x

l × h = -x(x+2)

Now, putting the value of l × h in the equation we get

v= -x ( x+ 2) (5-x)

v = -x (x-5)(x +2)

Hence, the length, width, and height of the box in factored form is  -x (x-5)(x +2) which is option A

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Applying the definition of supplementary angles, x = 18; m<PNO = 70°.

If two angles lie on a straight line adjacent to each other, both angles are supplementary, thus, their sum is equal to 180 degrees.

Angle MNO and angle PNO are supplementary angles, therefore:

m<MNO + m<PNO = 180 degrees.

m<MNO = 110°

m<PNO = (3x + 16)°

Substitute

110 + 3x + 16 = 180

126 + 3x = 180

126 + 3x - 126 = 180 - 126

3x = 54

x = 18

m<PNO = 3x + 16 = 3(18) + 16

m<PNO = 70°

Therefore, applying the definition of supplementary angles, x = 18; m<PNO = 70°.

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The principal for the loan is $27,890.

The total amount of interest to be paid on the loan, at a rate of 5.25% after 66 months is $8053.24

The principal is the amount of money to be paid for the automobile which is $27,890.

from simple interest formula = ( principal * time * rate ) / 100

given data

principal = $27,890

time =  66 months

rate = 5.25%

converting the time to years gives

time = 66 / 12

time = 5.5 years

simple interest = ( 27 890 * 5.5 * 5.25 ) / 100

simple interest = 805 323.75 / 100

simple interest = $8053.24

We can therefore say that the amount of interest paid on the loan at a rate of 5.25% after 66 months is $8053.24

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Answer:

1100101

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

2x - 14x = 12x

3x²

6y + 7y = 13y

3²-12x-13y

Answers are in bold

==========================================================

Explanations:

Answer:

C

Step-by-step explanation:

3x^2-30x=72

3(x^2-10x)=72

x^2-10x=24

Then do the subtitules

Answer:C

Give me brainlliest

Answer:   C   x = -2

Step-by-step explanation:

[tex]3x^{2} - 30x - 72 = 0[/tex]

[Add 72 on both sides]

[tex]3x^{2} - 30x = 72[/tex]

[Factorise Left Hand Side of equation to get 3 on one side of a bracket]

[tex]3(x^{2} -10x) = 72[/tex]

[Divide each side by 3 to just get the brackets and the x's on one side]

[tex]x^{2} -10x = 24[/tex]

[Minus 24 on both side as the equation must = 0]

[tex]x^{2} -10x-24=0[/tex]

[Solve the square on the left hand side]

[tex](x-12)(x+2)=0[/tex]

[Solve for x on left hand side - two possible answers]

[tex]x-12=0 \\ x=12[/tex]

[tex]x+2=0\\x=-2[/tex]

[The answer '12' is not in the option for the question so '-2' is the answer]

Answer:

FG=58 X=11

Step-by-step explanation:

I'm assuming your looking for the whole segment. What I did was 3x-4=5x-26. We first have to find X. So just use the equation to find X. You should get X=11 if you did it the way I set it up. Then you plug it in with the measures you got. So FM = 3(11)-4 and 5(11)-26. You should get 29 for both. If your looking for FG, you would add those two together. So 29+29= 58. FG=58. there you go.

The maximum capacity of a container which can measure the kerosene oil of both the tankers when used an exact number of times is 170 Litres.

Amount of kerosene in first tanker = 850 litres

Amount of kerosene in Second tanker = 680 litres

The maximum capacity of a container which can measure the kerosene oil of both the tankers when used an exact number of times will be the HCF of amount of kerosene in first tanker and amount of kerosene in second tanker i.e., HCF of 850 litres and 680 litres.

To calculate HCF of 850 and 680 , we can write

850 = 2 × 5 × 5 × 17

680 = 2 × 2 × 2 × 5 × 17

HCF of 850 and 680 = 2 × 5 × 17 = 170

The maximum capacity of a container which can measure the kerosene oil of both the tankers when used an exact number of times is 170 Litres.

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Answer:

"No solution" is the answer

Step-by-step explanation:

Answer:

-1/25, 1/18, -2/9

Step-by-step explanation:

The additive inverse of a number is also called the reciprocal. The reciprocal is the number that is multiplied to get 1.

Answer:

Odd

Step-by-step explanation:

If n is even, we can assign it any even number, like 2. after every even comes an odd, so 2+1=3. Just like 4+1=5, the next number after any even is odd.

Answer:

The y-intercept = (0, 13/7).

The x-intercept = (13/3, 0).

To the nearest tenth they are

y-intercept (0, 1.9)

x-intercept (4.3, 0)

Step-by-step explanation:

First find the equation oif the line joining these points:

Slope of line = (4 - (-2)) / (-5-9))

                      = 6/-14

                      = -3/7

y - y1 = m(x - x1)

Using m = -3.7 and (x1, y1) = (-5, 4)

y - 4 = -3/7(x - (-5)

y = -3/7x -15/7 + 4

y = -3/7x + 13/7 is the equation of the line.

The y-intercept (when x = 0)

= 0 + 13/7

= (0, 13/7)

The x-intercept:

0 = -3/7x + 13/7

x = -13/7 / -3/7

  = 13/3.

x intercept is (13/3, 0)

Using proportions, it is found that 38 spaces are suitable for non-compact cars.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For this problem, we have that:

38 spaces are suitable for non-compact cars.

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The length of the NFL playing field is 100 yards and the width is 30 yards.

The perimeter of an object is the distance round the shape or object.

The perimeter of a shape is obtained by summing length and width of the shape in two places.

P = 2(L + W)

where;

From the given question,

L = 2W + 40

260 = 2(L + W)

260 = 2(2W + 40 + W)

260 = 2(3W + 40)

260 = 6W + 80

260 -80 = 6W

180 = 6W

180/6 = W

30 = W

L = 2W + 40

L = 2(30) + 40

L = 100 yards

Thus, the length of the NFL playing field is 100 yards and the width is 30 yards.

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Answer:

1/16

in decimal form it is:

0.0625

Step-by-step explanation:

Answer:

you can not do that. They are not like terms. Even though they are raised to the same power, they don't have the same variable

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

you have to multiply 14 ×2 =28