find three consecutive even intergers such that the sum of the smallest number and twice the middle number is 20 more than the largest number

Decimal to Fraction

Converting any terminating decimal into a fraction is fairly straightforward. You count the number of decimal places, move the decimal point that number of places to the right, and put the resulting number over "1" followed by that number of zeroes.

For instance:

Convert the decimal 0.7 into a fraction.

This decimal has one decimal place, so I move the decimal point one place to the right, to get 7. Then I put this over "1" followed by one zero (otherwise known as "10") to get: 7/10

​

Step-by-step explanation:

the answer must be t equal to Q over MC

Answer:

T= Q over MC

Step-by-step explanation:

I did the test

Answer:

Step-by-step explanation:

Ok so u can’t divide a decimal with a whole number so u have to move the decimal poin from the 8 twice so it’s on the other side of the 8 and then there shouldn’t be any zeros before the 8 now divide 296 by 8 and instead of leaving the whole number like that u have to add the decimal point to it. So it should look like this 296.00 and then u can divide which is 3,700 hope this helped <3

A. √50 = 5√2 ≈ 7,07107

B. √169 = √13² = 13

C. 736

D. 225

Coordinate geometry is the use of a 2D plane to represent points.

Given that:

[tex]A = (-5,5) \to A' = (5,5)[/tex]

[tex]B = (-2,2) \to B' = (2, 2)[/tex]

[tex]C = (-3,2) \to C' = (2,3)[/tex]

By observing the pattern of transformation, the rule is:

[tex](x,y) \to (y,-x)[/tex]

Hence, the transformation is a rotation of 270 degrees clockwise

The length is calculated using the following distance formula:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2[/tex]

So, we have:

[tex]AB = \sqrt{(-5 - -2)^2 + (5 - 2)^2} =\sqrt{18[/tex]

[tex]BC = \sqrt{(-2 - -3)^2 + (2 - 2)^2} =1[/tex]

[tex]AC = \sqrt{(-5 - -3)^2 + (5 - 2)^2} =\sqrt{13[/tex]

And

[tex]A'B' = \sqrt{(5 -2)^2 + (5 - 2)^2} =\sqrt{18[/tex]

[tex]B'C' = \sqrt{(2 - 2)^2 + (2 - 3)^2} =1[/tex]

[tex]A'C' = \sqrt{(5 - 2)^2 + (5 - 3)^2} =\sqrt{13[/tex]

By comparing the lengths of the image and the preimage, we can conclude that the transformation preserves length.

The measure of the angles is calculated as follows:

[tex]a^2 = b^2 + c^2 -2ab \cos A[/tex]

So, we have:

[tex]18 = 1 + 13 -2 \times 1 \times \sqrt{13} \cos C[/tex]

[tex]18 - 1 - 13= -2 \times 1 \times \sqrt{13} \cos C[/tex]

[tex]4= -2 \times 1 \times \sqrt{13} \cos C[/tex]

[tex]-2= \sqrt{13} \cos C[/tex]

Make cos C the subject

[tex]\cos C = -0.5547[/tex]

[tex]C = cos^{-1}(-0.5547)[/tex]

[tex]C = 124^o[/tex]

Also, we have:

[tex]\frac{a}{\sin A} =\frac{c}{\sin C}[/tex]

So, we have:

[tex]\frac{1}{\sin A} =\frac{\sqrt{18}}{\sin( 124)}[/tex]

[tex]\frac{1}{\sin A} =5.1175[/tex]

Rewrite as:

[tex]\sin A = \frac{1}{5.1175}[/tex]

[tex]\sin A = 0.1954[/tex]

[tex]A = \sin^{-1}(0.1954)[/tex]

[tex]A = 11^o[/tex]

Also, we have:

[tex]A + B + C = 180^o[/tex] --- sum of angles in a triangle

[tex]11 + B + 124 = 180^o[/tex]

Collect like terms

[tex]B = 180 -11 - 124[/tex]

[tex]B = 45[/tex]

Hence:

[tex]\angle A = 11[/tex]   [tex]\angle B = 45[/tex] and [tex]\angle C = 124[/tex]

Read more about coordinate geometry at:

https://brainly.com/question/1601567

Step-by-step explanation:

So if you are 7 and a half miles away, and you drive 30 miles per hour, you need to take 7.5 and divide it by it by 30 and you get 0.25, you then need to find what is a quarter (0.25) of 60 minutes, and you will find that it is 15 minutes.

So:

Answer:

The route will take 15 minutes to get to work taking the back roads.

Hope this helps!

Answer:

-10x-28

Step-by-step explanation:

-

Answer:

Step-by-step explanation:

∠WZA + WZY = 180     {linear pair}

88 + ∠WZY = 180

∠WZY = 180 - 88

∠WZY = 92°

∠WXY + ∠WZY = 180     {Opposite angle in cyclic quadrilateral}

x + 92 = 180

       x = 180 - 92

x = 88°

Answer:

Four

Step-by-step explanation:

13- 5= 8

8/2=4

You simply do the problem in reverse.

Answer:

The number is 4

Step-by-step explanation:

Let the number = x

Double of x = 2*x = 2x

Then add 5 to it: 2x +5

2x +5 = 13

Subtract 5 form both side

2x + 5 - 5 = 13 - 5

         2x = 8

Divide  both sides by 2

       x = 8/2

x = 4

Answer:

[tex]auphy = (6 \: 9 \: 11) \\ ainter \: section \: phy = null \: set \\ thank \: you[/tex]

Answer: The student would get 70% credit.

The student’s overall grade would be

Step-by-step explanation:

Step-by-step explanation:

Σfx = 60+45a

Σf = 12+9a

Now

Mean =Σfx/Σf

= 60+45a/12+9a

=105/21 (a has been canceled)

=5

Therefore mean =5

Answer:

Option(A) [tex]4^{\frac{5}{8}}[/tex] is equivalent to [tex]$\frac{4^{\frac{7}{3}}}{4^{\frac{1}{4}}}$[/tex]

Step-by-step explanation:

Given:

[tex]$\frac{4^{\frac{7}{3}}}{4^{\frac{1}{4}}}$[/tex]

To simplify the expression

Using the exponent rule,

[tex]$\frac{x^{a}}{x^{b}}=x^{a-b}$[/tex]

[tex]$\frac{4^{\frac{7}{3}}}{4^{\frac{1}{4}}}$[/tex][tex]=4^{\frac{7}{8}-\frac{1}{4}}[/tex]

[tex]=4^{\frac{5}{8}}[/tex]

The correct answer option is (A) [tex]4^{\frac{5}{8}}[/tex]

Learn more about Exponent rule, refer:

Step-by-step explanation:

#12

PQ = 6x + 25

QR = 16 - 3x

PR = 6x + 25 + 16 - 3x

PR = 3x + 41

#1

D = √(-4 - 5)² + (-7 - 2)²

D = √(-9)² + (-9)²

D = √81 + 81

D = √162

D = 9√2

Answer:

No

Step-by-step explanation:

The x-axis shows Craig's pitch speed in miles per hour.

The highest speed he did was between 70 to 75 mph. Craig's doesn't specify the speed in the histogram, so we can only be sure that Craig's fastest is between 70 to 75 mph.

Answer:

1st one

Step-by-step explanation:

it is by multiple of 5 withthe words inside bracket.

Answer:

52

+38

=90

-9

=81

so the answer is=81

Answer:

p = - 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, - 3) and (x₂, y₂ ) = (3, 7)

m = [tex]\frac{7-(-3)}{3-(-1)}[/tex] = [tex]\frac{7+3}{3+1}[/tex] = [tex]\frac{10}{4}[/tex] = [tex]\frac{5}{2}[/tex]

Parallel lines have equal slopes

Calculate the slope of the other 2 points and equate to [tex]\frac{5}{2}[/tex]

with (x₁, y₁ ) = (3, p) and (x₂, y₂ ) = (7, - 4p)

m = [tex]\frac{-4p-p}{7-3}[/tex] = [tex]\frac{-5p}{4}[/tex] = [tex]\frac{5}{2}[/tex] ( cross- multiply )

- 10p = 20 ( divide both sides by - 10 )

p = - 2

8k - 9(4k + 4) = 8k - 36k - 36 = -28k - 36

Let's rewrite in the simplest term,

→ 8k - 9(4k + 4)

→ 8k - 36k - 36

→ [-28k - 36]

The simplest term is -28k - 36.

Answer:

1

Step-by-step explanation:

5t = 5

divide equation by 5 to get rid of it

t = 1

This is because 5t means "5 times t". The t is a placeholder for a number.

To solve for t, we divide both sides by 5

5t = 5

5t/5 = 5/5

t = 1

Note how 5t = 5 becomes 5*1 = 5 after replacing t with 1. Because 5*1 = 5 is a true statement, this helps confirm we have the correct answer.

Answer:

1.

Step-by-step explanation:

You can't send two because it'd be 38

Answer:

C = 7p

Step-by-step explanation:

Each pound costs 7 dollars, and he buys P, an unknown amount. This equals C.

Answer:

(7q-5)²

Step-by-step explanation:

= 49q² - 70q + 25

= 49q² -35q -35q + 25

= 7q(7q-5) - 5(7q - 5)

= (7q-5) (7q-5)

= (7q-5)²

CMIIW

Answer:

Step-by-step explanation:

49q² -70q +25 , rewrite the first two terms as squares

(7q)² -70q + 5² , compare with  a² - 2ab + b² = (a-b)²

    a² - 2ab + b²

(7q)² -2(7q)(5 )+ 5², because 70q = 2*35q = 2*7*5*q

We can see that a = 7q and b=5, therefore

49q² -70q +25 = (7q -5)²

We set the equation equal to 0 to find the roots

7q-5 =0, add 5 to both sides

7q =5 , divide both sides by 7

q = 5/7 ≈ 0.714

Answer:

Step-by-step explanation:

1: x=5

2: x=2

3: x = 3

4: x=5

5: x=3

6: x=4

7: x=37

Answer:

SSS is used

Step-by-step explanation:

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The triangles are congruent with SSS postulates. Then the correct option is D.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

Two triangles are shown.

The SSS postulate is one of the ways to prove that two triangles are congruent. SSS stands for "side-side-side," and it states that if three sides of one triangle are congruent to the corresponding sides of another triangle, then the two triangles are congruent.

The corresponding sides of the triangle will be equal. Then the triangles are congruent with SSS postulates.

Thus, the correct option is D.

More about the triangle link is given below.

https://brainly.com/question/25813512

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Answer:

None

Step-by-step explanation:

sorry don't know how to delete this

Hi! I'm happy to help!

The recipe calls for 1/4 of a cup of cocoa, and we have 5/6 of a cup.

We use subtraction to solve for the difference:

5/6-1/4

To solve for this, we need to find a common denominator. We do this by finding the least common multiple of the two denominators we already have.

The least common multiple is 12, because that is the lowest number that both 6 and 4 are factors of.

We multiplied the 6 by 2 to get twelve, so, to make it equivalent, we have to multiply the 5 by 2 also.

10/12-1/4

Now, since we multiplied the 4 by 3 to get twelve, we need to do the same to the 1.

10/12-3/12

You never subtract denominators, only numerators. Now, all we have to do is 10-3:

10/12-3/12=

7/12

So, you would have 7/12 cup of cocoa left over if you made the cookies.

I hope this was helpful, keep learning! :D

Answer: 3a+b/9

(the slash represents a fraction so the answer is a fraction)

Step-by-step explanation:

Answer:

factors of 15 are 3 and 5, because 3×5 = 15. Some numbers have more than one factorization (more than one way of being factored).

Step-by-step explanation:

The given statement, "If 3 and 5 are factors of a number, then

15 is a factor of the number", is true as the lowest common multiple of 3 and 5 is 15.

A number x is said to be a factor of another number y when y/x leaves a remainder = 0.

In the question, we are asked that if 3 and 5 are factors of a number, then will 15 also be a factor of that number.

The smallest number with the factors 3 and 5 is 15, as the lowest common multiple of 3 and 5 is 15. Hence, the number we are looking for is a multiple of 15, that is, 15 is a factor of that number.

∴ We can say that any number having factors 3 and 5, will have a factor of 15. Hence, the given statement is true.

Learn more about factors of a number at

https://brainly.com/question/219464

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