All of the following are true statements except
O 1561 = 56
0 -156] = 56
01-56] = 56
0 -156] = -56

Answer:

In fraction form, it would be 3/2

Answer: This person worked 40 hours at a $7.50 rate.

Step-by-step explanation: Given the pay rate, hours worked, tax deductions, and social security deduction, determine the gross earnings, group health insurance (assuming 15% of gross earnings), pension deduction (assuming 6.5% of gross earnings), total deductions, and net pay. This person worked 40 hours at a $7.50 rate.

Answer:

side a = 30 feet long.and side b = 30-14 = 16 feet long.

Step-by-step explanation:

Right triangle, with sides a, b=a-14 and h=34

By Pythagorean rule, h2 = 342 = a2 + b2 = a2 + (a-14)2 ==> a2 + a2 - 28a + 196

Simplify to get 1156 = 2a2 - 28a + 196

Subtract 1156 from both sides to get 2a2 - 28a - 960 = 0

Divide all terms by 2: a2 -14a - 480 = 0

Use quadratic equation to find that a = 30 or a = -16.

a = -16 will not work.

Therefore side a = 30 feet long.and side b = 30-14 = 16 feet long.

Check: 302 + 162 = 900+256=1156. SQRT(1156) = 34 feet, the given hypotenuse.Right triangle, with sides a, b=a-14 and h=34

By Pythagorean rule, h2 = 342 = a2 + b2 = a2 + (a-14)2 ==> a2 + a2 - 28a + 196

Simplify to get 1156 = 2a2 - 28a + 196

Subtract 1156 from both sides to get 2a2 - 28a - 960 = 0

Divide all terms by 2: a2 -14a - 480 = 0

Use quadratic equation to find that a = 30 or a = -16.

a = -16 will not work.

Therefore side a = 30 feet long.and side b = 30-14 = 16 feet long.

Check: 302 + 162 = 900+256=1156. SQRT(1156) = 34 feet, the given hypotenuse.

The side length of the other sides is 30 feet and 16 feet if the shorter leg of a right triangle is 14 feet less than the other leg.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

It is given that:

The shorter leg of a right triangle is 14 feet less than the other leg.

From the Pythagoras theorem:

hypotenuse² = perpendicula² + base²

perpendicular = base - 14

34² = (base - 14)² + base²

34² = base² - 28base + 196 + base²

2base² - 28base - 960 = 0

base = 30, -16

side length cannot be negative

base = 30 feet

The length of another leg:

perpendicular = 30 - 14 = 16 feet

Thus, the side length of the other sides is 30 feet and 16 feet if the shorter leg of a right triangle is 14 feet less than the other leg.

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Answer:

I brlive the answer is B.........

Answer:

The answer is C) ASA

Step-by-step explanation:

This triangle is ASA because it has two congruent angles shown in the diagram. All of the other answers have none or one. Therefore, it is ASA.

The percentage increase in the value of y due to the increase in x by 21% is 10%

Inverse relationship :

y = k/√x - - - - - - (1)

Increase in x by 21% = 0.21

y = k/√1+0.21x

y = k/√1.21x

y = k/ 1.1√x - - - (2)

Comparing the (1) and (2)

y has changed from 1 to 1.1

Increase in y = (1.1 - 1) = 0.1

Expressing the increase as a percentage :

0.1 × 100% = 10%

Hence, the percentage increase in y is 10%

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Answer:

(1,-2)

Step-by-step explanation:

Let x equal the number

 Tip: Go step-by-step

4 times a number is translated to... 4x

Is equal to means =

to the number increased by 21 is... x+21

Your equation is: 4x=x+21

Subtract x from both sides

3x=21

Divide three from both sides

x=7

Check!

4(7) = 7+21

28=28!

Correct!

Have a nice day!!

Answer:

the answer is option 4th

Answer:

it's W=2

Step-by-step explanation:

beacuse you devide both sides!! I hope this helps!!! if not let me know!!!

Answer:

Answer:

9x + 10y - (-x + 9y) (9x + 10y) + x -9y

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

n over 81 = 2 over 27 = 27n over 27 = 2×81 over 27 =6

Answer:

a number line is shown from negative 6 to positive 6 with increment of 1.

Answer:

c

Step-by-step explanation:

c

Answer:

Zero solutions

Step-by-step explanation:

When you simplify the equation you get that 4x+2=4x+3. That is not equal so therefore it has zero solutions

Answer:

The only solution could be is if u had x as a variable, if not then you don't have a solution because you won't know what x is.

Step-by-step explanation:

Answer:

5 units

Step-by-step explanation:

Answer:

I think the answer is 7 units

Step-by-step explanation:

you would expect it to be 5 units, but because of the diagonal angle it adds a percentage off each unit

Answer:

In the forth quadrant, below and to the right of the origin.

x > 0 means it is to the right of the y axis

y < 0 means it is below the x axis.

Step-by-step explanation:

on the y axis

Step-by-step explanation:

thats nice what i think atleast sighhh                                                                                                                                                                                              e

Utilizando conceptos estadísticos, se encuentra que

La media viene dada por la suma del punto medio de cada intervalo multiplicada por su frecuencia relativa.

O sea, [tex]\frac{5 + 10}{2} = 7.5[/tex] multiplicado por [tex]\frac{3}{30}[/tex] hasta [tex]32.5[/tex] multiplicado por [tex]\frac{1}{30}[/tex]. Entonces:

[tex]M = 7.5\frac{3}{30} + 12.5\frac{7}{30} + 17.5\frac{10}{30} + 22.5\frac{8}{30} + 27.5\frac{1}{30} + 32.5\frac{1}{30}[/tex]

[tex]M = \frac{7.5(3) + 12.5(7) + 17.5(10) + 22.5(8) + 27.5 + 32.5}{30} = 17.5[/tex]

La media es de 17.5 cuadernos vendidos.

La mediana es el ponto medio de el intervalo en que la suma de las cuantidades [tex]f_c[/tex] ultrapassa lá mitad, o sea, 15.

[tex]3 + 7 = 10[/tex]

[tex]10 + 10 = 20[/tex]

Esto se dá en el intervalo de 15 à 20, que tiene ponto medio 17.5, o sea, 17.5 es la mediana.

La moda es el ponto medio de el intervalo con frequencia relativa mas grande.

En este problema, este intervalo es de 15 a 20, que tiene ponto medio 17.5, o sea, 17.5 también es la moda.

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Answer:

a) 22,500  b) 2250 seconds (or 37.5 minutes)

Step-by-step explanation:

a) There are 1000 ml in a liter.

Therefore, the rate of water flowing in can be 3000 ml per minute. To convert this into per second, we divide 3000 by 60.

This becomes 50 ml per second. If the tank fills in completely in 450 seconds,  we multiply 50 by 450 to get how much water in ml was used to fill the tank completely. 50 times 450 = 22,500. Therefore, the capacity of the tank is 22,500.

b) Since water keeps flowing into the tank at a rate of 50 ml per second, and water flows out at a rate of 60 ml per second, we can define the rate flowing out of the tank as 10 ml per second.

Because the maximum capacity of the tank is 22,500 ml, we divide this by 10 ml (the rate flowing out) to get how many seconds it will take for the tank to drain out completely. 22,500 divided by 10 is 2250.

So, it will take 2250 seconds for the tank to drain completely. In minutes, this becomes 37.5 minutes.

Answer:

A is the correct answer

Step-by-step explanation:

hope this helps

Answer:

Target

Step-by-step explanation:

Home depot

15 dollars/ 30 ornaments = .50  per ornament

Target

9 dollars/ 20 ornaments =.45 per ornament

Target costs less

Answer:

Target is cheaper .45 each

Home Depot is .50 each

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

rise/run = 3/4

Answer: Middle integer = -24

Step-by-step explanation: First understand the formula for finding three consecutive even numbers.

Formula used: -4(n+n+4)=192

Let's solve your equation step-by-step.

−4(n+n+4)=192

Step 1: Simplify both sides of the equation.

−4(n+n+4)=192

(−4)(n)+(−4)(n)+(−4)(4)=192(Distribute)

−4n+−4n+−16=192

(−4n+−4n)+(−16)=192(Combine Like Terms)

−8n+−16=192

−8n−16=192

Step 2: Add 16 to both sides.

−8n−16+16=192+16

−8n=208

Step 3: Divide both sides by -8.

−8n

−8

=

208

−8

n=−26

Now find the middle integer.

Formula used: n+n+2+n+4

-26+(-26)+2+(-26)+4

-26+(-24)+(-22)

Middle integer=-24

Answer:

-24

Step-by-step explanation:

The number of yards of material remains sewing blanket is 2.5 yards.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given that, Keith buys 3 yards of materials to make a blanket.

He trims off a total of 1/6 yards before sewing.

So, 1/6 ×3

= 3/6

= 0.5 yards

Remaining material =3-0.5

= 2.5 yards

Therefore, 2.5 yards of material remain for sewing blanket.

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Answer:

M' (-2 , -5),  A'(1 , -1),  P'(-7 , -1)

Step-by-step explanation:

Rotation clockwise 90° = rotation CCW 270°

Formula for rotation CCW 270° around a point (x',y') for original (x,y)

x'' = (x-x') cos 270° - (y-y') sin 270° + x'

y'' = (x-x') sin 270° + (y-y') cos 270° + y'

cos 270° = 0 and sin 270° = -1

x'' = - (y-y') sin 270° + x' = (y-y') + x'

y'' = (x-x') sin 270°  + y' = (x'-x) + y'

M': x = (4 - -1) + (-7) = -2

     y = (-7 - -3) + (-1) = -5

A': x = (7 - -1) + (-7) = 1

    y = (-7 - -7) + (-1) = -1

check

P': x = (-1 - -1) + (-7) = -7

    y = (-7 - -7) + (-1) = -1

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

Another way of thinking is to suppose P is (0,0) and locate other points' coordinate relative to P. Such as M(4,5), A(0,8)..

when it rotate CW 90° (x,y) -> (y , -x) will becomes (5 , -4) and (8 , 0). while (5 , -4) relative to p(-7 , -1) is (-7+5 , -1-4) i.e. ( -2 , -5) at original plane and (1 , -1) for point A'

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