8 km
6 km
What is the length of the hypotenuse?
kilometers
C

As a little tip that's helped me personally when I was taking algebra, making equations for word problems feels a lot easier when you "translate" equations you make into words to make sure that you're using the right equation.

Let's boil down what the question tells us. 5/6 of the price tag of a bike from Store B is the price of a bike from Store A, which is $150.60. Let's use the variable 'b' to represent the price of Store B's bike.

[tex]\frac{5}{6}[/tex] * b = 150.60

Try "translating" the equation above. "5/6 of the price of a Store B bike is equal to 150.60." That seems about right, doesn't it? Let's isolate 'b' so we can get an official answer.

Multiply both sides by 6 to get rid of the denominator:

[tex]\frac{5b}{6}[/tex] * 6 = 150.60 * 6

5b = 903.6

Divide both sides by 5 to get rid of b's coefficient:

[tex]\frac{5b}{5}[/tex] = [tex]\frac{903.6}{5}[/tex]

b = 180.72

The price of a bike from Store B is $180.72

If you need any help on anything I just did here, don't be afraid to ask. Good luck on your Algebra endeavors!

- breezyツ

Answer:

is your teacher insane?

Step-by-step explanation:

hope this help have a great day!

Answer:

12% decrease

Step-by-step explanation:

So you have to do V2 aka 132-150 to get -18/150. Then, you multiply it by 100 to get 0.12. they you multiply 0.12 by 100 and you get -12% change, or 12% decrease.

Answer:

c. 25

Step-by-step explanation:

According to the intersecting chords theorem, the product of the segments of a chord equals the product of the segments of the other chord it intercepts.

Thus:

3*x = 5*15

3x = 75

x = 75/3

x = 25

Answer:

29.7079632679

Step-by-step explanation:

(31.415926535898/2)+8+6

Answer:

3.5×10^4=35000

Step-by-step explanation:

Consider the value

3.5

we are saying that we are counting in units (1's) in that we have

3

1

2

of 1's

'.....................................................................................

Consider the value

3.5

×

10

. Now we are saying we have

3

1

2

of tens. That is; 3 lots of 10 is 30 and

1

2

of 10 is 5 so we have

30

+

5

=

35

'.................................................................................

Note that

10

2

is 100

Consider the value

3.5

×

10

2

. Now we are saying we have

3

1

2

of

100

'

s

So if we are counting in 100's then the decimal point stays where

it is and we move the number of 3.5 to the left until the

3 becomes hundreds.

Note that we have to insert a place holder of 0 just to the left of the decimal point to make sure the three is viewed as in the hundreds.

3.5

×

10

2

−−−−−−−−−−−−−−−−−−→

slide to the left 2 places

350.0

Answer:

x = 7

Step-by-step explanation:

5(x + 5) = 10 x 6

5x + 25 = 60

5x = 35

x = 7

Answer:

i think b

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

AC and DE are diameters, so divide the circle into equal portions that have a total angle measure of 180°.

  angle ABD = 180° -angle DBF - angle FBC = 180° -75° -60°

  angle ABD = 45°

angle CBE is a vertical angle to angle ABD, so has the same measure, 45°.

angle ABE is supplementary to angle CBE, so has measure 180° -45° = 135°. Long arc AE is 360° less this value, so is 360° -135° = 225°. Vertical angle DBC has the same measure as angle ABE, so long arc DAE will also be 225°.

angles FBC and CDE add to make angle FBE, so that angle is ...

  angle FBE = 60° +45° = 105°

Answer:

-1

Step-by-step explanation:

[tex] - 3f {}^{ - 8} + 7g(2) \\ \\ = 14g - 3f {}^{ - 8} [/tex]

Answer:

No, 5 isn't a solution to 7x - 4 + x = 12

Step-by-step explanation:

7x - 4 + x = 12

combine common x-values

8x - 4 = 12

add

8x = 16

solve for x

x = 2

Answer:

No, 5 is not the solution...

Step-by-step explanation:

7x-4+x=12

7x+x=12+4

8x=16

x=16/8

x=2  is the solution

Answer:

38 women

Step-by-step explanation:

Question 9 (1 point)

In the middle school PTA there is a total of 47 men and women. The number of women the PTA is 2 more than four times the number of men. How many women are in the

PTA?

Let the number of men = x

Let the number of women = y

x + y = 47

y = 2 + 4x

We substitute

x + 2 + 4x = 47

Collect like terms

5x = 47 - 2

5x = 45

x = 45/5 = 9

y = 2 + 4x

y = 2 + 4 × 9

y = 2 + 36

y = 38

Therefore, the number of women = y = 38 women

C. p(11) = 626.

Step-by-step explanation:

Given  : p(x) = 5(x²+1)+16.

To find :  what is the value of p(11).

Solution : We have given  p(x) = 5(x²+1)+16.

For x = 11.

p(11) = 5((11)²+1)+16.

p(11) = 5 ( 121 + 1 ) +16.

p(11) = 5 (122) + 16.

p(11) =  610 + 16.

p(11) = 626.

Therefore,  p(11) = 626.

Answer:

(Choice A) A -6+2; minus, 6, plus, 2

Step-by-step explanation:

Which expression is equivalent to -6 - (-2); minus, 6, minus, left parenthesis, minus, 2, right parenthesis? Choose 1 answer: Choose 1 answer:

(Choice A) A -6+2; minus, 6, plus, 2

(Choice B) B 2+6; 2, plus, 6 (Choice C) C -6+(-2); minus, 6, plus, left parenthesis, minus, 2, right parenthesis

(Choice D) D -2 + 6

Given expression:

-6 - (-2)

Note:

- * - = +

+ * + = +

- * + = -

+ * - = -

-6 - (-2)

= -6 + 2

= -4

The correct answer is (Choice A) A -6+2; minus, 6, plus, 2

Answer:

-3a + 11b + 2c

Step-by-step explanation:

Answer:   1.66666666667

Answer:

96 feet

Step-by-step explanation:

Answer:

32 yards is equal to 96 feet. Hope this helped!! :D

Answer:

[tex]-13[/tex]

Step-by-step explanation:

[tex]-2+3(1-4)-2[/tex]

Simplify:

[tex]-2+3(1-4)-2\\-13[/tex]

-13 is your final answer!

Answer:

It's 7!

Step-by-step explanation:

Answer:

Step-by-step explanation:

C

Answer:

1

Step-by-step explanation:

If a term does not have a written coefficient, then the coefficient is one.

This is because 1(y) = y

Answer:

1

Step-by-step explanation:

there is an "understood" 1 as the coefficient of any blank variable

but it is useless to write since anything times 1 is just the same number ..... (i.e: y *1= y...same as 5 * 1= 5)

Answer:

tan2(x) + 1 = sin2(x)/cos2(x) + 1 = [sin2(x) + cos2(x)]/cos2(x) = 1/cos2(x) = (1/cos(x))2 = sec2(x). Thus tan2(x) + 1 = sec2(x).

Step-by-step explanation:

Answer: Not an identity

Step-by-step explanation:

If your question is as made by me then the solution is given with it . Hope you find it useful.

The realtion of y is alternative angle.

Answer:

It's 372 in³

Step-by-step explanation:

A rectangular prism's volume is l x w x h right? So there are 2 rectangular prisms. So just add the volume of 2 rectangular prisms (12 x 4 x 4 + 12 x 3 x 5 = 372 in³

Answer:

We have the inequality:

-46 < -34

This naturally happens because -46 is at the left of -34 in the number line, meaning that -46 is smaller than -34.

An example to see this is suppose that these numbers represent money.

Because the numbers are negative, then these represent money you owe.

-46 means that you owe $46

-34 means that you owe $34

Then if we are counting the money you have, owing $34 means that your money is larger than if you owe $46.

Another example is if these numbers represent distance under the surface of the water.

-46 means that you are 46 ft under the surface of the water

-34 means that you are 34 ft under the surface of the water.

Clearly, in the second case your altitude is higher than in the first one, so again, the inequality is true.