The amount of motor oil used during the month by the local stock car racing team is g(t) hundred gallons, where t is the number of months past March of a given year.
(a) Write a sentence of interpretation for
g(4) = 13.10.

10 lbs of raisins contains 20% water by weight, so they contain

0.20 × (10 lbs) = 2 lbs

of water. This means the non-water portion of the raisins weighs 8 lbs. This weight stays the same throughout the drying process.

As grapes, they had a total weight of

8 lbs + w

where w is the water weight, and w happens to be 92% of this total weight. So

w = 0.92 × (8 + w)

Solve for w :

w = 7.36 + 0.92w

0.08w = 7.36

w = 92

Then the total weight of the grapes before they dried out is 100 lbs.

Answer:

[tex] k = \dfrac{5}{3} [/tex]

Step-by-step explanation:

It is actually a one-step equation.

If you have a number multiplying a variable equaling another number, then you need to do only one operation to solve; you need to multiply both sides by the reciprocal of the number multiplying the variable.

Here we have

[tex] \dfrac{3}{2} = \dfrac{9}{10}k [/tex]

First, switch sides to have the variable, k, on the left side.

[tex] \dfrac{9}{10}k = \dfrac{3}{2} [/tex]

You have a variable, k, multiplied by a number, the fraction 9/10, equaling another number, 3/2. To solve for k, multiply both sides by the reciprocal of 9/10 which is 10/9.

[tex] \dfrac{10}{9} \times \dfrac{9}{10}k = \dfrac{10}{9} \times \dfrac{3}{2} [/tex]

On the left side, you have the product of two reciprocals, 10/9 and 9/10, which equals 1, leaving just k.

On the right side, you must multiply the fraction 10/9 by 3/2 and then reduce.

[tex] k = \dfrac{30}{18} [/tex]

[tex] k = \dfrac{5}{3} [/tex]

Step-by-step explanation:

What other numbers are of this form have exactly four factors?

8 = 2³ has 4 factors 1, 2, 2², 2³

For any prime p, p³ has 4 factors 1, p, p², p³

Do all the perfect cubes have exactly four factors?

If p is not prime, then it is not true anymor

For instance, 8³ has more than 4 factors 1, 2², 2³,:

Is it true that all numbers that have exactly four factors are perfect cubes?

6 has 4 factors : 1, 2, 3, 6 but this is not a perfect cube.

Answer:

12/4

Step-by-step explanation:

12/4

= 3/1

= 3

So, 12/4 = 3

Answer:

Vertex (-2,-9)

x-intercepts -5 and 1

y-intercept -5

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

The 3 part of the ratio relates to 18

Divide by 3 to find the value of one part of the ratio.

18 ÷ 3 = 6 ← value of 1 part of the ratio , then

7 parts = 7 × 6 = 42 ← the greater number

9514 1404 393

Answer:

  15 sodas will give a maximum profit of 83

Step-by-step explanation:

For quadratic ax^2 +bx +c, the maximum occurs at x = -b/(2a). Here, we have ...

  a = -1/3, b = 10

  x = -b/(2a) = -10/(2(-1/3)) = 15

The profit for sale of 15 sodas is ...

  P(15) = (-1/3s +10)s +8 = (-1/3(15) +10)(15) +8 = 5(15) +8 = 83

The company would earn a maximum of 83 from sale of 15 sodas.

Answer:

12000

plss mark brainliest

Step-by-step explanation:

8000÷2/3

Explanation:

x = full tank capacity

2/3 of x = (2/3)*x = 8000 which is the amount Ron states when its 2/3 full

To solve for x, we will multiply both sides by 3 and then divide both sides by 2 like so

(2/3)x = 8000

2x = 8000*3

2x = 24000

x = 24000/2

x = 12000 liters is the full capacity

Note that,

2/3 of 12000 = (2/3)*12000 = 8000

which confirms our answer.

Answer:

9.89 or 7 radical 2

Step-by-step explanation:

Answer:(4,1) ?

Step-by-step explanation:

(x1 + x2/ 2 , y1+y2/ 2)

(1+7/ 2, 5+(-3)/ 2)

(4,1)

Step-by-step explanation:

[tex]( \frac{1 + 5 }{2} ) \: and( \frac{7 + 3}{2} ) = ( \frac{6}{2} ) + ( \frac{10}{2} ) = [/tex]

(3,5)

Step-by-step explanation:

6m + 3z + 4m + 2w - 5z

6m + 4m + 3z - 5z + 2w

10m - 2z + 2w

Therefore the answer is 10m -2z + 2w

Answer:

53

Step-by-step explanation:

At first,

- 7 = 9 + x

By subtracting 9 from both sides, we get

-7-9=9+x-9

-16=x

Now,

By substituting the value of x in -3x + 5 , we get

-3x + 5

-3×(-16)+5

48+5

53

Answer:

2x^2 (5 - 9x + 7x^2)

Step-by-step explanation:

use the smallest exponent (x^2) and number (10) to factor

2 and x^2 could be factored from all

when factoring put exponents, you subtract them

2x^2 (5 - 9x + 7x^2)

Answer:

80 degrees

Step-by-step explanation:

add both the angles

Answer:

do you have a graph to go along with this?

After t hours, the first truck covers a distance of (70 km/h) t while the second truck covers a distance of (80 km/h) t. So the distance between them is

(70 km/h) t + (80 km/h) t = (150 km/h) t

They are 900 km apart after

(150 km/h) t = 900 km   ===>   t = (900 km) / (150 km/h) = 6 h

The average number of breaths per minute would be 67.6 breaths per minute.

Average can be calculated by dividing the sum of the observation by the number of observations,

[tex]Average = \frac{sum of observations}{number of observation}[/tex]

Step by step Explanation:

Over the course of 5 minutes, the squirrel takes

65 + 73 + 67+ 71+ 62 = 338 breaths in 5 minutes

So, the sum of observation = 338 and

the number of observations = 5

So If you take that number and divide it by the number of minutes, you will get the average.

[tex]=\frac{338}{5}[/tex]  

 67.6 breaths per minute.

Thus, the correct answer is - 67.6 breaths per minute.

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Area of rectangle where Zebra spotted is 3.36 kilometer²

Step-by-step explanation:

Given that;

Zebras spotted in a  rectangular area

Dimensions of area is 1.4 kilometers by 2.4 kilometers

Find:

Area of rectangle

Computation:

[tex]Area\ of\ rectangle = length \times width\\[/tex]

Area of rectangle = 1.4 x 2.4

Area of rectangle = 3.36 kilometer²

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The algebaraic equation required is :

2.55x + 0.7 = 16

The number of pens Hannah bought is 6

If :

x = number of pens

4 more pencils Than pens ; Number of pencils = x + 4

2 fewer erasers than pens ; number of erasers = x - 2

Total amount spent = $16

The total number of items bought is :

(x) + (x + 4) + (x - 2)

Multiplying by the cost of each :

1.25x + 0.55(x+4) + 0.75(x-2)

Hence, Total amount spent can be represented as :

1.25x + 0.55(x+4) + 0.75(x-2) = 16

1.25x + 0.55x + 2.2 + 0.75x - 1.50 = 16

2.55x + 0.7 = 16

The algebraic equation is : 2.55x + 0.7 = 16

The number of pens Hannah bought can be calculated thus :

2.55x + 0.7 = 16

2.55x = 16 - 0.7

2.55x = 15.30

x = 15.30 / 2.55

x = 6

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Answer:

Step-by-step explanation: x = the number of pens Hannah bought

(x + 4) = the number of pencils Hannah bought

(x - 2) = the number of erasers Hannah bought

The equation to solve would be 1.25x + 0.55(x + 4) + 0.75(x - 2) = 16

1.25x + 0.55(x + 4) + 0.75(x - 2) = 16.00

1.25x + 0.55x + 4 * 0.55 + 0.75x - 2 * 0.75 = 16.00

1.25x + 0.55x + 2.20 + 0.75x - 1.50 = 16.00

1.25x + 0.55x + 0.75x = 15.30

2.55x = 15.30

x = 6

Note: if you didn't get a Whole Number, you know that you must've made a mistake. You can't buy part of a pen or pencil or eraser.

x = the number of pens Hannah bought = 6

(x + 4) = the number of pencils Hannah bought = 6 + 4 = 10

(x - 2) = the number of erasers Hannah bought = 6 - 2 = 4

You can check your work: 1.25(6) + 0.55(6 + 4) + 0.75(6 - 2) = 1.25(6) + 0.55(10) + 0.75(4) = 16 (check!)

Answer:

PQ=

Step-by-step explanation:

Performance Qualification

(regarding business or acquiring a job)

Answer:

B

Step-by-step explanation:

Using the Pascal's triangle

Pertaining to the 8th term the coefficients are;

1, 8, 28, 56, 70, 56,28, 8 and 1 in that order

Expanding this,

the coefficient of the term x^7y is 8

(NO)²

[tex]\huge\mathfrak\red{hope \: it \: helps}[/tex]

The possible value of the other number will be 7√32. The correct option is D.

A rational number is one that can be stated mathematically as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively. For instance, every integer and 3/7 are rational numbers.

It is given that the first number is 3√2 the value of the second number will be:-

Rational number  = 3√2 x 7√32

Rational number  = 21√64

Rational number  = 21√( 8 x 8 )

Rational number  = 21 x 8

Rational number  = 168

Therefore, the possible value of the other number will be 7√32. The correct option is D.

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Answer:

(01.07) Which of the following describes the correct process for solving the equation 2x + 6 = 22 and arrives at the correct solution? (1 point) Divide both sides by 6 and then add 2. The solution is x = 8. Subtract 6 from both sides and then divide by 2. The solution is x = 8.

Answer:

2x-6=22

2x=22+6

2x=28

x=28/2

x=14

Answer:

I think it's Quebec

Step-by-step explanation:

because in canada's history, Canada remained a French territory until 1763 when it became the British colony of the Province of Quebec

Answer:

f(-3)=g(-4)

Step-by-step explanation:

both functions intersect at point (-3;-4)..

Answer:

A

Step-by-step explanation:

e 2021

Answer:

x = 2

Step-by-step explanation:

(x+16)/3 = 3x

=> x+16 = 3x × 3

=> x+16 = 9x

=> 16 = 9x - x

=> 16 = 8x

=> 16/8 = x

=> 2 = x

Answer: 3.6

Step-by-step explanation: What i did was determined how many minutes are in a hour which are 60 minutes. so due to the fact that you're looking for the travel in (15) "minutes" I had to divide 54 by 15. Which gives you 3.6