Can someone pls help me!

Ms. Failla decides that she wants to give a test on ratios and rates. The test consists of 18 questions. How much time must Mrs. Storz give to her students if she plans that the students can answer the questions at a rate of 3 questions in 7.5 minutes?

If the sum of first four terms in a G.P. is 30 and that of the last four terms is 960, then the sum of the first 8 terms is 990

We also know that a = 2

sum of first 4 terms

= 2(r^4 - 1)(r-1) = 30

r^4 - 1 = 15r - 15

r^4 - 15r + 14 = 0

r = 1 works for the equation , but r = 1 would make all the terms of the

GP the same, so clearly not a solution

r^4 - 15r + 14 = 0 , a bit of trial and error ....

(r-1)(r - 2)(r^2 + 3r + 7) = 0

so r = 2 or r = not real

check: sum(4) = 2(2^4 - 1)/(2-1) = 30 , as needed

so r = 2 , BUT it does not work for sum(8)

sum(8) = 2(2^8 - 1)(2-1) = 510 , not 990 as necessary according to your second part of the question.

check your question.

Answer:

12/15

Step-by-step explanation:

times 4 by 3 because 5 is timesed by 3

Answer:

Since there is a right angle, this is a right-angled triangle and we can solve for x using Pythagoras Theorem that goes [tex]a^2+b^2=c^2[/tex], where c is the hypotenuse (longest side of the triangle).

In this case, x would be the c.

Substitute in values of a and b:

[tex]10^2+10^2=c^2[/tex]

[tex]c^2=200[/tex]

[tex]c=\sqrt{200}[/tex]

[tex]c=10\sqrt{2}[/tex] (Option A)

Answer:

side lengths are 96 for HI and PQ and 64 for IJ and RQ

hypothenuse is 115

Step-by-step explanation:

delta HIJ = delta PQR

HI = PQ   -->   3x = x + 64

divide both sides by x --> 3 = x/x + 64/x      *x/x = 1

3 = 1 + 64/x subtract both sides by 1

2 = 64/x --> 2x = 64 divide both sides by 2

x = 32

IJ = RQ --> x + 32 = 2x

divide both sides by x

1 + 32/x = 2 (again, x/x = 1)

subtract both sides by 1

32/x = 1

x = 32

plug in 32 for x to get the side lenghts

so 3(32) = 96

and 32 + 32 = 64

use equation a^2 + b^2 = c^2

96^2 + 64^2 = c^

9216 + 4096 = c^2

13312 = c^2        square root 13312

c = 115.378

Answer:

Im soooooo hungry ughhh

Step-by-step explanation:

Hi

Answer:

x=17

Step-by-step explanation:

ok so since lines PR and RQ are congruent (we know because of the lines on them), that means angles P and Q are also equal.

now we can set up the equation to find x like this:

29+29+(8x-14)=180 (180 because the three angles of a triangle always equal 180)

x=17

Answer:

x ÷ 4 ≤ 5

Step-by-step explanation:

Answer:

8x - 1 + 16x²

Step-by-step explanation:

8x - 2 + (4x - 1)(4x+1) = 0

=> 8x - 2 + 16x² + 4x - 4x - 1

=> 8x - 2 + 16x² - 1

=> 8x - 1 + 16x²

Therefore, 8x - 1 + 16x² is our answer

Answer:

x2+2x−35=0

Step 1: Factor left side of equation.

(x−5)(x+7)=0

Step 2: Set factors equal to 0.

x−5=0 or x+7=0

x=5 or x=−7

Step-by-step explanation:

Answer:

28/4

Step-by-step explanation:

the slash is also a division sign.

Answer:

B: 28/4 should be the correct answer, correct me if I'm wrong.

[tex]\\ \sf\longmapsto 12x-15[/tex]

Distributive property

Take 3 common

[tex]\\ \sf\longmapsto 3(4x-5)[/tex]

Done

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

Explanation:

Use the pythagorean theorem to tie together the three sides of the right triangle.

[tex]a = x-3 = \text{horizontal leg}\\b = x+5 = \text{vertical leg}\\c = 9 = \text{hypotenuse}[/tex]

[tex]a^2 + b^2 = c^2\\(x-3)^2 + (x+5)^2 = 9^2\\x^2-6x+9 + x^2+10x+25 = 81\\2x^2+4x+34 = 81\\2x^2+4x+34-81=0\\2x^2+4x-47=0\\[/tex]

From here, we use the quadratic formula to solve for x.

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(4)\pm\sqrt{(4)^2-4(2)(-47)}}{2(2)}\\\\x = \frac{-4\pm\sqrt{392}}{4}\\\\x \approx \frac{-4\pm19.79898987}{4}\\\\x \approx \frac{-4+19.79898987}{4} \ \text{ or } \ x \approx \frac{-4-19.79898987}{4}\\\\x \approx \frac{15.79898987}{4} \ \text{ or } \ x \approx \frac{-23.79898987}{4}\\\\x \approx 3.94974747 \ \text{ or } \ x \approx -5.94974745\\\\[/tex]

We'll ignore the negative x value because it makes the sides x+5 and x-3 to be negative numbers. Negative side lengths make no sense.

The only practical solution is roughly x = 3.94974747; rounding to 3 sig figs leads to the final answer of x = 3.95

In this case, 3 sig figs means that we're rounding to 2 decimal places.

Answer:

$7.97

Step-by-step explanation:

98.2 Oz = 6.1375 Lbs

6.1375 Lbs times $1.30 = 7.97875

Answer:

(x+2/3) (x^2 - 2)

Step-by-step explanation:

First we can seperate the problem

(x^3 + 2/3x^2) + (-2x - 4/3)

We factor x^2 out of the first parenthesis

x^2(x + 2/3) + (-2x - 4/3)

and factor -2 out of the second

x^2 (x+2/3) +-2 (x +2/3)

then we rewrite it as

(x+2/3) (x^2 -2)

-- Gage Millar, alg1/2 tutor

Answer:

She can travel for 10 days

Step-by-step explanation:

first you do 1,250 divided by 1,250 will equal 0. Then you do the other side 1,700- 1,250 =450. Then you do 450 divided by 45 and you will get 10

Hope this helps you out!

Answer:

[tex]y = -6[/tex]

Step-by-step explanation:

Because is a line is of the form

[tex]y = mx + b[/tex]

and its parallel to the line

[tex]2 - y &= 7\\- y &= 5\\y = -5[/tex]

So that's meaning that the slope [tex]m[/tex] is equal to 0 then the equation now is of the form

[tex]y = b[/tex]

Then if pass for the point -6 and [tex]b[/tex] is the point of cut with the [tex]y[/tex] axis then our equation of the line is equal to

[tex]y = -6[/tex]

Answer:

4 ounces each

Step-by-step explanation:

16 ounces = 1 pound

16x2=32

32/8=4

Answer:

-5

Step-by-step explanation:

g(x)= 3x+1

g(-2)

g(-2)= 3x+1

g(-2)= 3(-2)+1= -5

Answer: were you born yesterday

Step-by-step explanation:

Answer:

x = 32

Step 1: Solve the right-hand side of the equation.

47 - x = 50 - 35

=> 47 - x = 15

Step 2: Subtract '47' from both ends.

=> 47 - x = 15

=> -x = 15 - 47

Step 3: Solve for x.

=> -x = -32

=> x = 32.

Hoped this helped.

Answer:

x = 2.7

Step-by-step explanation:

5.4 = 2x

2x = 5.4

Divide both sides by 2.

x = 2.7

Answer: x= 2.7

1. Divide 2 on both sides

2. cancel terms who have the same numerator and denominator

Answer:

Hello is this math i can help you with your answer

Answer:

2/3

Step-by-step explanation:

     [] Since is the line is going up from bottom-left to top-right, we know it will be positive

     [] Because this graph has distinctive coordinate-points, we can use rise over run

     () The other method is to use the change in y divided by the change in x

We start at (-2, 0), then count 2 up and 3 over to get to (2, 1) which gives us a slope of 2/3

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Here is ur answer

- BRAINLIEST ANSWERER

Answer:

576

Step-by-step explanation:

5 + 3 = 8

5 - 2 = 3

8 x 3 = 24

24 to the second power is 576

Answer:

27x+5

Step-by-step explanation:

5+3x(5-2)^2

5+3x(3)^2

5+3x*9

5+27x

27x+5

Answer:

The fraction is 13/21.

Step-by-step explanation:

The denominator of a fraction is 8 more than its numerator.

Let x be the numerator: x

So the denominator is: x + 8

[tex]\frac{x}{x + 8}[/tex]

If 1 is subtracted from the numerator and 3 is added to the denominator, the fraction becomes 1/2.

It will become:

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

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

Now, by using cross multiplication, multiply (x - 1) by 2 and (x+11) by 1.

It will become:

2x - 2 = x + 11

Now transpose and combine the same values. Make sure to change the integer sign. If the integer is positive, change it to negative when you transpose it.

2x - x = 11 + 2

x = 13

So the value of x is 13. Now to check if it is correct. Go back to the equation([tex]\frac{x - 1}{x + 11} = \frac{1}{2}[/tex])

Put the value of x in it.

[tex]\frac{13-1}{13+11} = \frac{1}{2}[/tex]

[tex]\frac{12}{24} = \frac{1}{2}[/tex]

12/24 is equivalent to 1/2 so that is correct.

Now, to find the main fraction. Go back to the original equation which is;

([tex]\frac{x}{x + 8}[/tex])

Put the value of x.

[tex]\frac{13}{8 + 13}[/tex]

= 13/21

Not a verified expert but I put much effort to answer your question. Hope it helps:)

Answer:

No answer is be 28%

5+9+7+4=25

7/25 + .28 =28%

Step-by-step explanation: