Mathematics College

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

what is the smallest six-digit number you can make that is divisible by five

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it's 100000

hope this helps!! :)

2(3x-(2x-3(3x+1)+5x)

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Answer: Is the answer is 10x+6? You didn’t even show what can I do for your math expression, I thought it was simplified expression.

Step-by-step explanation:

Please help!!! Thanks

Math problem

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Answer:

Step-by-step explanation:

(5-2)180

=540

540-131-105-153-84

=67

enter the value of x. the diagram is not to scale

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Answer:

Sorry i cant help

Step-by-step explanation:

predict the number of roses in a garden with 16 sunflowers if there are 3 sunflower in a garden with 81 roses

Answers

The answer is a lot of roses

A number N divided by -9 is -16

Answers

Answer: no

Step-by-step explanation:

algebraic expression for "a number , n, divided by 4 is 4. I

$46 for 5 toys

$ / toy

Answers

It’s $9.2 for each toy

Answer:

$9.20 for 1 toy

Step-by-step explanation:

If it's $46 for 5 toys, we can divide both $46 and 5 to get $9.20 for 1 toy.

Anybody Know This. ?

Answers

Answer: 4 feet

Step-by-step explanation:

In order to determine the length of side, we need to use what is called the Pythagorean theorem, which states: a² + b² = c² The a and b in this equation are both of the sides of the triangle that we call legs. (I have attached a picture for reference if you do not know what sides I am referring to). The c in this equation refers to the hypotenuse of the triangle. (Again, please refer to the attached photo).

So now, we need to plug in the information we already know into this equation. The height of the ramp will be our a and the distance from the box will be our b. We can see that the hypotenuse (c) is labeled as 5, so we can fill in that information in our equation.

a²+b²=5² (simplify by squaring the 5)

a²+b²=25

Next, we know that the height of the box is 3 feet, which let's us know that our a is 3. Let's plug this new information in.

3²+b²=25 (simplify by squaring the 3)

9+b²=25 (simplify by substracting the 9 from both sides)

25 - 9 = 16

b²=16

Hey! Now our equation looks much simpler! Now, all we need to do it square root both of the sides in order to get b by its self.

b²=16

√b² = b

√16 = 4

Final answer: b = 4

I truly hoped this explanation helped! If you feel you still need a bit of help, David May explains the Pythagorean theorem very well in his video titled, "Find The Hypotenuse Using Pythagorean Theorem | Dave May Teaches" if you would like to check it out. Take care! :)

ANSWER THE QUESTION PLEASE & THANK YOU ! Show that the equation y +2 = 2(3x + 1) is linear and that it represents a proportional relationship
between x and y.
Part 1 out of 4
y +2=2(3x + 1)
y +2=
JX +
✓ Check
Next

Answers

Answer:

y+2=6x+2

Step-by-step explanation:

[tex]y+2=2(3x+1)\\y+2=6x+2\\y=6x+2-2\\y=6x[/tex]

Since the exponent/degree of x and y both the variables are 1 the equation is linear and y=6x represents a proportional relationship between x and y

elementry math lesson 3.11 5th grade page 70

Answers

What need help on it?

Answer:

Her milk was $1.18

Step-by-step explanation:

$7.75+$0.47=$8.22

$10.00-$8.22=$1.18

Solve for x in the equation X^2-12x+36 = 90.

Answers

Answer:

Steno lo sebroo disculpa pero lo hice por los puntos gracias

x= 5.4 x^2-12x is ten and then 5.4*10 is 54 and 54+36=90

This why is the product of 2 rational numbers always rational

Answers

Answer:

Adding two rational numbers is like adding two positive numbers, or two like fractions.

On your first day in business, 126 people come to eat. They spend about $52 each. About how much money did you earn on your first day?

Answers

Answer:

You erned about $6,552

Step-by-step explanation:

ABCD is a rectangle. The length of AC is 3x - 1. The length of BD is 2x + 5.
What is the length of AC?
a.3
b.6
c.13
d.17

Answers

Answer:

C.13

Step-by-step explanation:

6 and 5 hundredths written in decimal

Answers

Answer:6.05

Step-by-step explanation:

6 is the ones place. 0 is the tenths place. 5 is the hundredths place.

what is 52.03 squared?

Answers

Answer:

It is 2707.1209

Step-by-step explanation:

Find the slope of the line through the given points.
16 11 and 17-21

Answers

Slope (y2-y1)/(x2-x1)
(-21-11)/(17-16) = -32
Slope is -32

Please I need help badly I also have stuff on my account

Answers

Not 100% but I’m thinking 125

D=125

Since D is across from 125 on the transversal that should be the answer.

True or false that integers can be negative numbers

Answers

Answer:

true

Step-by-step explanation:

if you bought 5 apples for $2. What is the cost for 1 apple

Answers

Answer:

$0.40

Step-by-step explanation:

you divide the 2 by 5 because they two dollars is being spread throughout the 5 apples. 2 divided by 5 is 0.40

Nya buys tea for $3.51 and juice for $2.28. estimate how much more she spends on tea than juice
1. Between $1 and $2
2.Less than $1
3. Between $2 and $3

Answers

the answer is 1. $1 and $2

Answer:

Step-by-step explanation:

First round up (or down) the prices for the tea and juice.

3.51 --> $4

2.28 --> $2.3 or $2

4-2.3=1.7

4-3= 1

$1-$1.7

You can buy a box of 150 Sharpie pens for $165 or a dozen for $13.50. Which one is the better deal?

Answers

Answer: do the a dozen for $13.50
Step-by-step explanation: It will help save money

The box of 150 is a better deal.

Helppppp quickkkk i need this to pass pleaseee

Answers

It’s c lease mark me brainliest

Answer: A The mean would increase

Step-by-step explanation:

If the smallest numebr dropped, then the numebr would get increased, since there is no more smallest, and the new smallest is $9.25.

round 7, 488 to the nearest thousands

Answers

Answer:

7,000

Step-by-step explanation:

You would round up if the next number (next to the thousands, I mean) is 5 or more, and round down if it is less than 5.

Answer:

7,488 = 7,000

Step-by-step explanation:

can u pls help me with this question

Answers

Answer:

7.65

Step-by-step explanation:

The total cost for 8 is 20.40, so you want to find what the cost for one panel is by dividing the total cost by the amount, which would be 20.40/8=2.55 then you want to know how much 3 of them cost, to find that you just multiply the cost of one of them by three, which would be 7.65

Calculate the simple interest on $600 left in account that pays 7% annual interest for 8 years.

Answers

Answer:

S = $336

Step-by-step explanation:

Given the following data;

Principal, P = $600

Rate, R = 7

Time, T = 8 years

To find the simple interest?

Mathematically, it is given by the formula;

Simple interest, S = (P*R*T)/100

Substituting into the equation, we have;

S = (600*7*8)/100

Simplifying the equation, we have;

S = 6*7*8

S = $336

Rita makes and sells necklaces. The materials to make each necklace cost $2.75. Last week she made 8 necklaces and wants to make a total profit of $78. Using the equation 8 (x + 2.75) = 78, Rita determined that she needs to sell each necklace for $7 to make a total profit of $78. Which error did Rita make?

Although she has the correct equation, she needs to sell each necklace for $12.50.
Although she has the correct solution, she should have used the equation 8 (x minus 2.75) = 78.
The equation should be 8 (x minus 2.75) = 78, and she needs to sell each necklace for $12.50.
The equation should be StartFraction 1 over 8 EndFraction (x minus 2.75) = 78, and she needs to sell each necklace for $75.25.

Answers

9514 1404 393

Answer:

The equation should be 8 (x minus 2.75) = 78, and she needs to sell each necklace for $12.50.

Step-by-step explanation:

The contribution margin of each necklace is the difference between its selling price (x) and its cost (2.75). Then the total profit from 8 necklaces would be ...

8(x -2.75)

If Rita wants that profit to be $78, then she needs to solve the equation ...

8(x -2.75) = 78 . . . . correct equation

The solution is ...

x -2.75 = 9.75 . . . . divide by 8

x = 12.50 . . . . . . . . add 2.75

She needs to sell each necklace for $12.50.

Answer: c

Step-by-step explanation:

Which of the following shows the correct sums that would be found when clustering is used to find the answer to the problem 34 x 12?
340 + 68 = 408
340 + 34 = 374
340 + 68 = 398
300 + 8 = 308

Answers

It would be the first one because 34*12 is 408 and that is the only answer with that sum

The first option is correct.

The calculation is as follows:

if we multiply the 34 and 12 so it comes 408

And according to first option, it we add 340 and 68 so it comes 408.

Learn more: brainly.com/question/16911495

4.
3. A full container of juice holds 64 fluid
ounces. How many 7-fluid ounce servings
of juice are in a full container?

Answers

Answer:

9.1 or 9.1 ≈ 9

Step-by-step explanation:

All you have to do is divide 64/7 which gives you the number of containers.

Hope this helps!

What is 14.724 rounded by the nearest hundredth

Answers

Answer:

14.72

Step-by-step explanation:

The answer is 14.72 hope this helped!

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