You purchase 5 pounds of apples and 2 pounds of oranges for $9. Your friends purchases 5 pounds of apples and 6 pounds of oranges for $17. What is the price per pound for each fruit?

Answer:

Use elimination, x = 6, y = 59

Step-by-step explanation:

1) Multiply Equation 1 by 2

E1: 4x +10y = 614

E2: 6x+10y = 626

2) Subtract E2 from E1

-2x = -12

x = 6

3) Substitute x = 6 into one of the equations (I used the original Equation 1)

2(6) +5y = 307

12+ 5y = 307

5y = 295

y = 59

A van can carry 6 students, and a bus can carry 59 students.

Answer:

14. y=10

Step-by-step explanation:

3y-7=23

   +7   +7

3y=30

----  -----

3       3

y=10

Answer:

Step-by-step explanation:

[tex]3y-7=23[/tex]

Collect like terms and simplify

[tex]3y =23+7\\3y=30[/tex]

Divide both sides of the equation by 3

[tex]\frac{3y}{3} = \frac{30}{3}[/tex]

Simplify

[tex]y=10[/tex]    

2.

[tex]\frac{3(j-1)}{2}=12 + \frac{2-j}{4} \\\\\mathrm{Multiply\:by\:LCM=}4\\\\\frac{3\left(j-1\right)}{2}\times\:4=12\times\:4+\frac{2-j}{4}\times\:4\\\\Simplify\\6\left(j-1\right)=-j+50\\\\Expand\:6\left(j-1\right) :6j-6\\\\6j-6=-j+50\\\\\mathrm{Add\:}6\mathrm{\:to\:both\:sides}\\6j-6+6=-j+50+6\\\\Simplify\\6j=-j+56\\\\\mathrm{Add\:}j\mathrm{\:to\:both\:sides}\\6j+j=-j+56+j\\\\Simplify\\7j=56\\\\\mathrm{Divide\:both\:sides\:by\:}7\\\frac{7j}{7}=\frac{56}{7}\\\\Simplify\\j=8[/tex]

Answer:

32°F

Step-by-step explanation:

Given that,

The low temperature in New York in the month of February was -7°F. The following day, the  the temperature rose to a high of 25°F.

We need to find the change in temperature that day.

Change = final temperature - initial temperatur

Change = 25°F - (-7°F)

= 25 +7

= 32°F

so, the required change in temperature is 32°F.

Answer: x ≤ x

Step-by-step explanation:

Answer:

-6x+20

Step-by-step explanation:

Answer:

8842

Step-by-step explanation:

The approximate balance of the savings account after 33 years with monthly compounding interest will be approximately $425,632.50.

To calculate the approximate balance of the savings account after 33 years with monthly compounding interest, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Substituting the values into the formula:

A = $7500(1 + 0.0512/12)^(12*33)

Calculating inside the parentheses first:

A = $7500(1 + 0.00427)^(396)

Now, raising to the power:

A ≈ $7500(1.00427)^(396)

Evaluating this expression:

A ≈ $7500 * 56.951

A ≈ $425,632.50

Therefore, the approximate balance of the savings account after 33 years with monthly compounding interest will be approximately $425,632.50.

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Answer:

A. Census

Step-by-step explanation:

You would simply ask ALL of the employees at your workplace as to whether or not they visit the dentist for regular check-ups. Thus, it is a census.

The type of study which will be the best help the company discover this information is survey sample, the correct option is B

Sample space is the set of all possible outcome the considered random experiment can result to.

Thus, suppose we toss a coin, then tossing a coin is a random experiment, and the  sample space is {'head', 'tail'}. We ignore other outcomes like slant coin, or standing coin by assuming that coin is very thin to stand and always falls down.

We are given that;

The number of its employees who go to the dentist.

Now,

A census involves collecting data from every individual in a population, which can be time-consuming, expensive, and may not be feasible for a large company with a large number of employees.

An observational study involves observing individuals and collecting data without intervening or manipulating any variables. This type of study may not provide information about the number of employees who visit the dentist for regular checkups since it does not involve asking individuals directly about their behavior.

An experiment involves manipulating one or more variables to observe the effect on another variable. This type of study may not be appropriate for studying employee behavior related to dentist visits since it may not be ethical or practical to manipulate employees' behavior in this way.

A survey sample, on the other hand, involves selecting a subset of employees and asking them directly about their behavior related to dentist visits. This can be an effective and efficient way to gather information about the number of employees who visit the dentist for regular checkups.

Therefore, by sample space the answer will be survey sample.

Learn more about sample space of a random experiment here:

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Answer: 6.5

Step-by-step explanation:

Answer:

4.05 x 10^2

Step-by-step explanation:

Please mark brainiest

and give 5 stars

Thanks

Answer:

x = -10

3(x + 4) = -18

3x + 12 = -18

3x + 12 = -18

3x = -18-12

3x = -30

x= -30/3

x = -10

Step-by-step explanation:

[tex]3(x + 4) = - 18 \\ (x + 4) = \frac{ - 18}{3 } \\ (x + 4) = - 6 \\ x = - 6 - 4 \\ x = - 10[/tex]

Answer:

11 Tenths

Step-by-step explanation:

Withouth the tenths, the bottom number would be 1.05. So we need 1.10 or 11 more. 10 tenths is one whole plus the 1 tenth we need to put in the tenths place.

Answer: From what I understand you want me to do 7*(-15)??? and the answer to that is -105.

Step-by-step explanation: All you have to do is 7*-15  

Answer:

Step-by-step explanation:

x^2-16/x^4-x^3

Factor x^4-x^3:

=x^2-16/x^3(x-1)

x^3(x-1)

Factor x^2-16;

(x+4)(x-4)

=(x+4)(x-4)/x^3(x-1)

Answer:

31 , 59

Step-by-step explanation:

a = b +28

a + b = 90 {Complementary}

b + 28 + b = 90    {Combine like terms}

2b + 28 = 90       {Subtract 28 form both sides}

       2b  = 90 - 28

       2b = 62      {Divide both sides by 2}

        b = 62/2

       b = 31

a = 31 + 28

a = 59

Answer:

I think it is the right triangle

Answer:

NO. B is the answer

Step-by-step explanation:

because there are two of the same x values, causing there to not form a straight line.

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

Answer:

Step-by-step explanation:

Answer:

r = 1/2n + 3

Step-by-step explanation:

Are there answer choices to choose from?  

This is how you would isolate the r:

4r = 2n + 6 + 6 so 4r = 2n + 12

Solve for r by dividing both sides by 4  so r = 1/2n + 3

Answer:

-2=2n+6

2n=2-6

2n=-4

n=-2

Answer:

110%

Explanation:

Answer:

The moon has moved past the full moon and is moving toward the third quarter.

Step-by-step explanation:

Answer:

13/10 5/3 40-78 C A

Step-by-step explanation:

Answer:

17/6

Step-by-step explanation:

if u need a mixed number do it urself

Answer:

343 feet

Step-by-step explanation:

Answer:

[tex]m = 3 \sqrt{12} [/tex]

[tex]n = 6[/tex]

Step-by-step explanation:

n=1/2 of 12 according to the rule:

right triangle the side opposite the 30 degree angle is half the length of the hypotenuse.

so n=12/2=6

and now we will need Pythagorean theorem : the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

so

[tex] {m}^{2} + {n}^{2} = {12}^{2} [/tex]

now lets put numbers on formula

[tex] {m}^{2} + {6}^{2} = {12}^{2} [/tex]

from this formula m=

[tex]m = \sqrt{ {12}^{2} - {6}^{2} } = \sqrt{144 - 36} = \sqrt{108} = 3 \sqrt{12} [/tex]

Answer:

-3.8

Step-by-step explanation:

1.6(2.5-10) + 8.2

1.6(-7.5) + 8.2

-12 + 8.2

-3.8

Answer:

-3.8

Step-by-step explanation:

1.6 * 2.5 = 4

1.6*-10 = -16

4-16+8.2

4-16 = -12

-12+8.2 = -3.8

Answer: 158

Step-by-step explanation:

158.297

It rounds to 158

since 0.297 < 0.5

Answer:

There are three more square chocolates left

Step-by-step explanation:

We know that Irena breaks off 2 complete strips and eats 12 meaning each strip had 6 squares. Jack breaks off 9. So if we add all the squares into rows of 6, we get four strips of chocolate from the beginning. Since Jack and Irena obtained 21 chocolate squares altogether, we have 3 chocolate squares that are remaining. I hope this helps ;)

The number of Squares of chocolate left in the bar is; 15 squares

A square has 4 equal sides and since one row contains 6 squares because irena ate 2 complete rows that had 12 squares.

It means that each of the vertical height must also contain 6 squares as well.

Now, two rows are gone and so we now have 4 rows with vertical height of 4 squares. That is 24 squares left.

Now, Jack ate 9 squares and so;

Amount of squares left = 25 - 9 = 15

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