P, Q & R form a right-angled triangle.
R, S & P lie on a straight line.
PS = SQ and ∠SQR = 36°.
Work out
∠RPQ

Answer:

Step-by-step explanation:

Rate = 8% = 8 / 100 = 0.08

Time (t) = 6 years

principal (P ) = 9000

i = P *r * t

i = 9000 * 0.08 + 6

i = 9000 * 0.48

i = 4320

Answer:

[tex]x=\frac{-12}{5} y+\frac{79}{5}[/tex]

Step-by-step explanation:

[tex]5(y-4)-3(y-2)+5(x-3)=10[/tex]

Add -12y to both sides:

[tex]5x+12y-69-12y=10-12y[/tex]

[tex]5x-69=-12y+10[/tex]

Add 69 to both sides:

[tex]5x-69+69=-12y+10+69[/tex]

[tex]5x=-12y+79[/tex]

Divide both sides by 5:

[tex]\frac{5x}{5} =\frac{-12+79}{5}[/tex]

[tex]x=\frac{-12}{5} y + \frac{79}{5}[/tex]

Answer:

0.125

Step-by-step explanation

one eighth = 1/8

Divide the numerator by denominator and the answer is 0.125

Answer:

y < 45

Step-by-step explanation:

Pittsburgh Steelers scored 45 points.

The Miami Dolphins will be represented by a variable y.

y scored less than 45 points.

y is less than 45

y < 45

Answer:

B) 376 units squared

Step-by-step explanation:

Imma put a picture that has a fully explanation. Hope this helps, good luck! ;)

Btw saw your other one got deleted •_• *sigh*

Answer:

$8

Step-by-step explanation:

12.5 hours earned him $110

then an hour will earn him less

12.5=$110

1=x then you cross multiply

12.5x=110

12.5x/12.5=110/12.5

x=8

therefore an hour will earn him $8

Answer:

y = - 7

Step-by-step explanation:

6x - 2y = 14

x = 0

6(0) - 2y = 14

- 2y = 14

- 2y ÷ - 2 = 14 ÷ - 2

y = - 7

Answer:

d

Step-by-step explanation:

on edge

Answer:

D!!

Step-by-step explanation:

Got it right

Answer:

y = 8(2) = 16

Step-by-step explanation:

"If y varies directly as x," then y = kx, where k is the constant of proportionality.

Here, when x = 6, y = 48.  This data lets us calculate k:

48 = k*6, or k = 8.

Then the pertinent equation is  y = 8x.

If x = 2, y = 8(2) = 16

Answer:

$84.48

Step-by-step explanation:

Multiply the price before discount by 1.2 (100% + 20%) to get 70.40 x 1.2 = 80.48; $80.48

Hope this helps!

:)

Answer:

5.4

Step-by-step explanation:

Juss took the test

Answer:

[tex]x=61[/tex]

Step-by-step explanation:

[tex]-3+\sqrt{2x-1} =8[/tex]

[tex]\sqrt{2x-1} -3=8[/tex]

Add 3 to both sides of the equation:

[tex]\sqrt{2x-1}-3+3=8+3[/tex]

[tex]\sqrt{2x-1}=11[/tex]

Solve the square root:

[tex]\sqrt{2x-1}=11[/tex]

[tex]2x-1=11^{2}[/tex]

[tex]2x-1=121[/tex]

[tex]2x-1+1=121+1[/tex] {add 1 to both sides}

[tex]2x=122[/tex]

[tex]x=122/2[/tex]

[tex]x=61[/tex]

hope this helps.......

Answer: 22 hours

Step-by-step explanation:

Given

Kevin earns $8 per hour

The cost of bike is $176

For Kevin to buy that bike, he needs to work atleast

[tex]\Rightarrow \dfrac{176}{8}=22\ \text{hours}[/tex]

So, Kevin must work 22 hours to buy that bike.

Answer:

0.075 metre

2000 mm

500 cm

0.001 gram

1.5 × 10-6 kilogram

86400 second

18000 second

Step-by-step explanation:

hope it helps

Answer:

a) 0.075 m

b) 2000 mm

c) 500 cm

d) ?

e) 0.0015 kg

f) 86400 seconds

g) 18000 seconds

Answer:

Sergio will buy first

It will take 34 weeks for Sergio

and 45 weeks for Lia

Step-by-step explanation:

Given Info: Per week Sergio Saves $24

How:

divide $72 by 4 weeks to find how much Lia is earning per 1 week.

72/4= 18

So Lia is saving 18$ per week while Sergio saves $24 per week

24>18

Sergio will save more per week so he will get it first.

It will take 34 weeks for Sergio

and 45 weeks for Lia

Answer:

y = 1/3 x

Step-by-step explanation:

y = kx

13 = k 39

k = 13/39

k = 1/3

y = 1/3 x

Answer:To test for divisibility, you look for answers that are whole numbers when you divide 59859 by either 2, 3, 5, 9, or 10.

To start divide it by each of them:

59859/2=29929.5

59859/3= 19953

59859/5= 11971.8

59859/9= 6651

59859/10= 5985.9

Now look at which of the choices are whole numbers

3 and 9 are the only non decimal numbers, therefore, C would be your answer.

Step-by-step explanation:

Answer:

Difference is the answer to a subtraction problem.  If you are on here, you can probably use a calculator.  If you go to the desmos scientific calculator, you can type it in and it will give you your answer as a fraction.

Step-by-step explanation:

Answer:

13/30

Step-by-step explanation:

7/10 - 4/15

Get a common denominator of 30

7/10 *3/3 = 21/30

4/15 *2/2 = 8/30

21/30 -8/30

13/30

Answer:

x=-2/3

Step-by-step explanation:

So let's start off with adding 4x on both sides, we add them to cancel out the -4x on the right hand side.

4x+-9x=-5x

Now, as for the fractions all we really gotta do here is add and subtract them. Let's subtract 5/6 on both sides. once we do that we get:

2/3+7/2-5/6=-5x

A quick trick for adding and subtract fractions is to cross multiply.

2/3+7/2

Multiply 3 times 7 and 2 times 2, then we'll multiply 3 times 2 to get a denominator.

3*2=6 (our denominator)

3*7=21

21/6

2*2=4/6

21/6+4/6=

25/6

Awesome! Now we have two like denominators so we don't have to do any additional cross multiplying. So, we can subtract 25/6-5/6=20/6.

Now, all we're left with is:

20/6=-5x

We can multiply 6 on both sides to isolate the 20.

20=-30x

Divide -30 on both sides!

x=-2/3

Hope this helps!

Answer:

The answer is 5/6.

Step-by-step explanation:

If both the numbers are mixed then,

(5 1/3) - (4 1/2)

= {(3*5)+1}/3  -  {(2*4)+1}/2

= (16/3) - (9/2)

= (32-27)/6

= 5/6

Hope this helps.

Answer:

D. To narrate

Answer:

to narrate

Step-by-step explanation:

well since you are telling us what happened it is a narration

Answer:

5 is the greatest and -15 is the least.

Step-by-step explanation:

The expression "give or take" means to add or to subtract on both sides. Since the estimated forecast is -5 degrees celcius. We can add 10 and subtract 10 to find the least and greatest possible temperature. -5-10=-15. -15 degrees celcius is the least possible temperature. -5+10=5. 5 degrees celcius is the greatest possible temperature.

Hope this helps!

Answer:

x ≈ 13.5

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan34° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{20}[/tex] ( multiply both sides by 20 )

20 × tan34° = x , then

x ≈ 13.5 ( to the nearest tenth )

Answer:

We know that:

She needs 9/10 grams of flour for the cake (this quantity does not make a lot of sense, maybe is written incorrectly, but is the only info we have, so let's solve the problem with this)

She only has 1/3 of the amount she needs.

How much flour does she have?

Well, she needs 9/10 grams, and she has one-third of that.

Then she has (1/3) times (9/10) grams, this is:

F = (1/3)*(9/10) grams

F = (1*9)/(3*10) grams

F = 9/30 grams

That is the amount of flour that she has.

Step-by-step explanation:

22+22=44

Es una pregunta fácil, incluso un niño pequeño puede responder a esto.

Answer:

its Positive or absolute ....

Answer:

1/6

Step-by-step explanation:

Answer:

29120

Step-by-step explanation:

if 5.6 × 0.52 = 2912

then,

0.56 × 520 = 29120

Answer:

P= 2L+2W+2H

P=2(3)+2(3)+2(3)

=18ft