Sean's father decided that the number of hours Sean should study daily is equal to the equation y + 4 16. where y is the

number of study hours and z is the number of relaxation hours. Sesn's mother believes that the number of hours Sean should study

dally should be equal to the equation 2y + 5z = 32. Sean's parents have decided to use both equations to determine the number

of hours Sean should study and relax What is an equivalent equation to the addition of Sean's mother's equation and Sean's father's

equation? Select all that apply.

Answers

Answer 1

Answer and explanation:

We add both equations to get a simultaneous equation

y+4z=16

2y+5z=32

We solve the equations using elimination method:

Multiply equation 1 by 5 and equation 2 by 4 to cancel out z

5y+20z=80

8y+20z=160

-3y=-80

Y=26.7

Substitute y=26.7 in equation 1

26.7+4z=16

4z=16-26.7

z= -2.67

y+z=26.7+(-2.67)= 24.03


Related Questions

If m<4=63, what is m<1?

Answers

Answer:

m<11=5.75

Step-by-step explanation:

since you already know what m<4 is

we just have to divide the result (63) by 4

63%4=15.75

therefore m<1= 15.75

Find the measure of angle b.

Answers

Answer:

23 degrees

Step-by-step explanation:

157+b=180

The measure of angle b is 23° because 180°-157°=23°

Find the equation of a line the has a slope of 2/5 and goes through the point of 15,11

Answers

It should be

Y = 2/5x + 5

¿Cómo influye el fenómeno de capilaridad en la vida de las plantas?

Answers

Answer:

Plants use capillary action to bring water up the roots and stems to the rest of the plant. Therefore, if the plant could not do this the plant would die.

Step-by-step explanation:

What is the value of 2(8-(-2))
-8(17-12)
04

Answers

Do you mean this 2(8-(-2))-8(17-12)4  - If that then the answer is -140

How do you tell a girl you like them? (this question was for my brother im a girl and im not gay) Please whoever answers the best gets brainliest.

Answers

be kind to them and just be forward. be yourself and no one else. don’t try to be someone that you are not. compliment her and them tell her how awesome she is.

Answer:

All i have to say is be kind. Thats all.

Step-by-step explanation:

Estimate the average rate of change of the graphed function, over the interval 0 ≤ x ≤ 2.

Answers

Answer:

A) 2

Step-by-step explanation:

(0,3) and (2,7)

Use slope formula

(7-3)/(2-0) = 4/2 = 2

Answer:

A) 2

Step-by-step explanation:

Scompty Simplify the expression and x(x-3)+2(x=1)

Answers

Answer: 0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Replace x with 1, because x = 1:

(1) [(1) - 3] + 2

[1 - 3] + 2

[-2] + 2

0

Ms. Twillie's class (25 students) and Ms. Grober's class (24 students) are off to the Field Museum for a field trip. Their expenses will be as follows: the program cost $10 per student; the bus costs $235.20; and the group will have lunch at a charge of $2.75 per student. If every student participates in the field trip, how much do each of students have to pay to go on the field trip?

Answers

Answer: Each student need to pay  $ 17.55 to go on the field trip.

Step-by-step explanation:

As per given, Total students = 25+24 = 49

Program cost per student = $10

Bus cost = $235.20

Charge per student =$2.75

Total cost of trip = (Program cost+ Charge per student ) (Total students)+ Bus cost

Total cost of trip =  $ [( 10 +2.75)(49) + 235.20]

= $[12.75(49)+235.20]

= $ [624.75+235.20]

= $ 859.95

Each student have to pay = (Total cost of trip ) ÷ (Total students)

= (859.95 ) ÷ 49

= $ 17.55 [approx.]

Hence,  Each student need to pay  $17.55 to go on the field trip.

Nicole made costumes for the annual school play. She used a total length of 1468.8 in of blue fabric. The fabric came in 3 rolls that each had the same length. How much fabric was in each roll? Write your answer in yards.

Answers

1468.8/3 = 489.3 in
convert answer into yards (divide by 36)
there was 13.6 yards of fabric in each roll.

Which of the students found the correct value of their expression? Select all that are true. None of the students Student 2 Student 1 Student 3 I will give you TEN BIG POINTS PLZ HELP.

Answers

Answer:

Step-by-step explanation:

Student 2 and student 1

The sum of two numbers is 47. The greater number is 9 more than the smaller number. Which equation can be used to solve for the smaller number?

x + (x + 9) = 47
x − (x + 9) = 47
x(x + 9) = 47
x(x − 9) = 47

Answers

Answer:

x + (x + 9) = 47

Step-by-step explanation:

This equation can be used to solve for the smaller number.

Working simultaneously, four fudge machines complete a big order in 32 hours. All the machines at the fudge factory work at the same pace. In how many hours will the order be complete with twice the number of working machines?

Answers

Answer:16

Step-by-step explanation:

Answer:

16 hours

Step-by-step explanation:

the ratio of basketball to baseball is 5:4 what do i put basketball or basketball

Answers

Answer:

i'm not that sure what you mean but here's what i think your aksing..

Step-by-step explanation:

5 is for basketball and 4 is for baseball

Answer:

hi my name is trey and i have a basketball game tomorrow, well i'm a point guard and i got shoe game.

solve for m: pr = k/m

Answers

i don’t know the context of this but if you are speaking technically then the answer is
P=K-RM

Given the function f(x)=4(2)2, Section A is from x=1 to x=2 and section B is from x=3 to x=4. Part A: find the average rate of change of each section. Part B: How many times greater is the average rate of change of section B than section A? Explain why one rate of change is greater than the other.

Answers

Answer:

I found thois from someone else asking this queetion so gope it helps.

Step-by-step explanation:

I'm sure you want your functions to appear as perfectly formed as possible so that others can help you.  f(x) = 4(2)x should be written with the " ^ " sign to denote exponentation:  f(x) = 4(2)^x

                                                                                     f(b) - f(a)

The formula for "average rate of change" is a.r.c. = --------------

                                                                                          b - a

                                   change in function value

This is equivalent to  ---------------------------------------

                                           change in x value

For Section A:  x changes from 1 to 2 and the function changes from 4(2)^1 to  4(2)^2:  8 to 16.  Thus, "change in function value" is 8 for a 1-unit change in x from 1 to 2.  Thus, in this Section, the a.r.c. is:

                8

              ------ = 8 units    (Section A)

                 1

Section B:  x changes from 3 to 4, a net change of 1 unit:  f(x) changes from

4(2)^3 to 4(2)^4, or 32 to 256, a net change of 224 units.  Thus, the a.r.c. is

       224 units

     ----------------- = 224 units (Section B)

           1 unit

The a.r.c for Section B is 28 times greater than the a.r.c. for Section A.

This change in outcome is so great because the function f(x) is an exponential function; as x increases in unit steps, the function increases much faster (we say "exponentially").

Given the function f(x) = -5x2 + 3x, express the value of f(a+h) – f(x) in simplest
form.

Answers

Step-by-step explanation:

it comes to

[tex] - 7x[/tex]

Help me out hereeeeeeeeeeeeeee

Answers

The answer is 5 11/12.

You have to add 3 1/4 AND 2 2/3.

3 1/4 + 2 2/3 =

add the whole numbers FIRST.

2 + 3 = 5

Now add the fractions

1/4 + 2/3 = 11/12.

Now add both of the numbers

5 + 11/12 = 5 11/12

Who know this one and can help me out

Answers

The slope is 0 since the line is unmoving
For every value, y is 4
It would be D. y = 4

What is 3/5 divided by 1/9 please I need to knoooooooooow

Answers

Answer: 5 2/5

Step-by-step explanation: Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Lastly, you should end up with an answer.

A hole is being dug into the ground at a rate of 5.3 feet per minute. Write an integer to describe the depth of the hole after 15 minutes.

Answers

Answer:

79.5 feet

Step-by-step explanation:

5.3 per minute can also be written as the ratio 5.3:1. so if we have x:15, we can see that we've multiplied the right side by 15 so we have to do the same to the other side. 15 times 5.3 is 79.5. so thats your answer.

i hope this helps :))

The integer that explained the depth of the hole after 15 minutes is 79.5 feet.

Given that,

The rate should be 5.3 feet per minute.The time in minutes should be 15 minutes.

So, the integer that explained the depth of the hole after 15 minutes is

[tex]= Rate \times time \\\\= 5.3 \times 15\\= 79.5\ feet[/tex]

Therefore we can conclude that the integer that explained the depth of the hole after 15 minutes is 79.5 feet.

Learn more about the integer here: brainly.com/question/14232618

Find to 3 decimal places the value of t for the distribution for the following.
Area in the left tail 0.005 and n= 25.

Answers

Answer:

-2.797

Step-by-sep explanation:

The area in the left tail is the level of significance = [tex] \alpha = 0.005 [/tex]

n = 25

Since sample size, n, = 25,

Degree of freedom = n - 1 = 25 - 1 = 24

The value of t for the t distribution, that is the t critical value, would be:

[tex] -t\binom{n - 1}{\alpha} = -t\binom{9}{0.005} [/tex]

The t critical value can be gotten from the t-table at the intersection of the row representing 24 degrees of freedom and the [tex] t_{0.005} [/tex] column. This would give us -2.797

The t critical value of the left tail would be critical value is -2.797.

Find the slope between the points (0,4) and (1,5).

Answers

Answer:

M = 1

Step-by-step explanation:

The answer is 1.

Use the m=y2-y1/x2-x-1 formula to plug in the given points.

Hope this helps!

Explain how a telescope with a few mirrors inside allows us to see things kilometers away

Answers

Answer:

Telescopes have several curved lenses inside that reflect on mirrors that gather light.  

Step-by-step explanation:

You can find more information on NASA as well. They have very interesting explanations and photos there. :)


Solve 162X - 1 = 64

Answers

Answer:

x=0.4012

Step-by-step explanation:

162X - 1 = 64

162x = 64 +1

162x= 65

x=65/162

x=0.4012

The measures of the three angles in a tri-
angle are in the ratio 1:2:3.​

Answers

Answer:

30,60,90

Step-by-step explanation:

triangle are in the ratio 1:2:3.​

So

Angles=X,2x,3x

X+2x+3x=180

6x=180

X=180/6

X=30

So angles are 30,60,90

Find the value of x in the triangle.

Answers

Answer:

X = 65*

Step-by-step explanation:

Each triangle's angles equal 180*. So the equation you would type to find X is

180 - 65 - 50 = X

X = 65

Penny makes 5 liters of applesauce. She saves 0.17 liter for dinner and puts the rest in jars. If each jar holds 0.69 liter, how many jars can she fill?

Answers

Answer:

8 jars

Step-by-step explanation:

If The volume of a pool is 2512 cubic feet and the height is 8 feet, what is the radius of a pool?

Answers

Answer: 314

Step-by-step explanation: This is true because 2512 by 8 you get 314

The radius of a pool is 10 feet.

It is required to find the radius of a pool.

What is the cylinder?

Cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance. A cylinder has two bases and a curved surface. Total surface area = 2πr(r +h) square units. Curved surface area = 2πr h square units.

Given:

The given pool is in the shape of cylinder.

Volume of a pool = 2512 cubic feet

The height = 8 feet.

According to given question we have,

Volume of a pool=π[tex]r^{2} h[/tex]

2512 =π[tex]r^{2} *8[/tex]

Divide 8 on both sides we get,

[tex]r^{2}[/tex]=314/π

[tex]r=\sqrt{314/3.14} \\\\r=10 feet[/tex]

Therefore, the radius of a pool is 10 feet.

Learn more details about cylinder here:

https://brainly.com/question/16134180

#SPJ2

What is the solution to this equation?
6x +4= 40 – 2
X=

Answers

Answer:

X=5 2/3

Step-by-step explanation:

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