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15t+30+5t=-4t+6 please show step by step

2 months ago

Solution 1

Guest #3834

2 months ago

15t+4t+5t=6-30
24t=-24
t=-1

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What is the probability of spinning a 4 or an odd number?

Solution 1

Please explain further.

Question

Which of the following is the domain of the function G(F(x))? F(x) = x + 4, G(y) = G(F(x)) = A. All numbers less than or equal to 4 B. All numbers less than or equal to -4 C. All numbers greater than or equal to -4 D. All numbers greater than or equal to 4

Solution 1

Answer: option C. all numbers greater than or equal to -4.

Justification:

1) G(F(x)) means apply first the rule F(x) and then apply the rule G(y) to the outcome of (Fx).

2) Mathematically that is:

G(F(x) = G (x + 4) = $\sqrt{x+4}$

3) The the domain is all the numbers for which the expression inside the root are not negative, i.e x + 4 ≥ 0

⇒ x ≥ - 4

That is the option C. all number greater than or equal to - 4.

Question

Josiah has 3 packs of toy animals. Each pack has the same number of animals. Josiah gives 6 animals to his sister stephanie. Then josiah has 9 animals left.how many animals were in each pack?

Solution 1

Let the number of animals in each pack be x.
Total number of animals will be 3x
after Josiah gave 6 animals to his sister the remaining animals were:
3x-6=9
thus sloving for x we have:
3x-6=9
add 6 on both sides
3x-6+6=9+6
3x=15
divide both sides by 3
(3x)/3=15/3
x=5
Answer:
There were 5 animals in each pack

Question

If 12 1/2% of a sum of money is $40 what is the total sum of money?

Solution 1

The total sum of money will be $320.

Let the total sum of money be represented by x.

Based on the information given, the equation to solve the question will be:

12 1/2% × x = 40

0.125x = 40

Divide by 0.125

x = 40/0.125.

x = 320

Therefore, the total sum of money will be $320.

Read related link on:

brainly.com/question/2805223

Solution 2

12 1/2% = 12.5%

12.5% = $40

1% = 40 ÷ 12.5 = $3.20

100% = $3.20 x 100 = $320

Answer: $320

Question

What are the zeroes of 2x squared plus 6x minus 8

Solution 1

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

Question

A ball is launched into the sky at 272 feet per second from the roof of a skyscraper 1,344 feet tall. The equation for the ball’s height h at time t seconds is h = -16t2 + 272t + 1344. When will the ball strike the ground?

Solution 1

Answer:

Time taken to reach the ball to the ground is 21 seconds.

Step-by-step explanation:

Given : A ball is launched into the sky at 272 feet per second from the roof of a skyscraper 1,344 feet tall. The equation for the ball’s height h at time t seconds is $h = -16t^2 + 272t + 1344$ .

To find : When will the ball strike the ground?

Solution :

The equation for the ball's height 'h' at time 't' is given by,

$h(t)= -16t^2 + 272t + 1344$

When the ball strike the ground the height of the ball became zero.

Substitute h=0 in the given equation,

$-16t^2 + 272t + 1344=0$

Taking 16 common,

$16(-t^2 + 17t + 84)=0$

or $t^2-17t-84=0$

Solve by middle term split,

$t^2-21+4t-84=0$

$t(t-21)+4(t-21)=0$

$(t-21)(t+4)=0$

$t=21,-4=0$

Reject t=-4 as time can never be negative.

Therefore, Time taken to reach the ball to the ground is 21 seconds.

Solution 2

The answer is -16(t+4)(t-21)

Question

American cheese 0.45 to 4.26 what is the percent increase

Solution 1

For this case we have the following rule of three:
0.45 ------> 100%
4.26 ------> x
Clearing x we have:
x = (4.26 / 0.45) * (100)
x = 946.6666667%
Thus, the percentage of growth is:
946.6666667 - 100 = 846.6666667
Rounding:
846.7%
Answer:
the percent increase is:
846.7%

Question

The average score on a standardized test is 750 points with a standard deviation of 50 points. What is the probability that a student scored more than 850 on the standardized test ?

Solution 1

The probability that student scored more than 850 we shall proceed as follows:
z=(x-μ)/σ
where:
x=850
μ=750
σ=50
thus
z=(850-750)/50
z=2
thus
P(x>850)=1-P(x<850)=1-P(z<2)=1-0.9772=0.0228

Answer: P(x>850)=0.0228

Solution 2

Answer:

Step-by-step explanation:

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Which of the following terms correctly describes 4:1?

Solution 1

Ratio? i don't know if thats exactly what it's asking but it's a ratio

Solution 2

Answer:

The answer is Ratio

Step-by-step explanation:

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WHAT IS 1/3 OF 97.50

Solution 1

The answer is 32.5. You can also do 97.5 * 0.333 = 32.46 (rounded up is 32.5).

Solution 2

Ans: 32.5 because you multiply it both together.....i really dont know i used the calculator XD sorry

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