What is the solution for this system of equations:
y = 1/2 x + 1
x + y = 16

Answers

Answer 1

Answer:

x = 10, y = 6

Step-by-step explanation:

Giveny = 1/2 x + 1 x + y = 16

Substituting y in the second equation:

x + 1/2x + 1 = 161.5x = 15x = 15/1.5 = 10

Then

y = 1/2*10 + 1 = 5 + 1 = 6

Related Questions

Change the following sentences into the indirect speed
He said to me, "Do you live in London?"​

Answers

"Do you live in London?" He said to me

He asked me if or do I live in London

Step-by-step explanation:

A local hamburger shop sold a combined total of 570 hamburger and cheeseburger on monday. there were 70 more cheeseburger sold than hamburgers. how many hamburgers were sold on Monday?​

Answers

Answer:

250 hamburgers were sold on monday.

Step-by-step explanation:

were going to subtract 70 from 500 leaving us with 500 and then divide it by 2 (hamburger and cheeseburger). so we have 250 now. then were going to add 70 to 250 and we'd get 320. so there were 320 cheeseburgers sold on monday and 250 hamburgers sold on monday. to check our work, 250+320=570. 570-320=250.

Answer:

215 hamburgers

Step-by-step explanation:

First, you need to find out what 570 divided by 2 is. It's 285 (570/2=285)

Next, you need to add 70 to 285. It's 355 (285+70=355)

Lastly, you need to subtract 355 from 570. It's 215 (570-355=215)

Thus, the were 215 hamburgers sold on Monday.

Hope this is right and helps!

What is the boiling point of salty ocean water?

Answers

Answer: approximately 105.7°C

Step-by-step explanation:

Seawater of 35 psu has a specific heat of 0.932 compared with 1.000 for pure water. Pure water freezes at 0 °C and boils at 100 °C (212 °F) under normal pressure conditions. When salt is added, the freezing point is lowered and the boiling point is raised. Therefore, we can tell that salt increases the boiling temperature, but not by very much. If you add 3 grams of salt to 100 grams (or mL) of water, instead of boiling at 100° C, it'll boil at 100.5° C.

And I'm not sure about the ocean water because the expected range is too wide and various, so maybe I guess the boiling point of salty ocean water would be about 105.7°C?

A photo collage consists of seven equal-sized square photos arranged in a row to form a rectangle. If the total area of the collage is 567 square inches, what is the length of the collage? __ inches

Answers

Given:

Seven equal-sized square photos arranged in a row to form a rectangle.

Total area of the collage is 567 square inches.

To find:

The length of the collage.

Solution:

Let the side of each square be x inches.

Seven equal-sized square photos arranged in a row to form a rectangle.

So, length of rectangle is 7x and width is x.

Area of rectangle is

[tex]Area=Length\times width[/tex]

[tex]567=7x\times x[/tex]

[tex]567=7x^2[/tex]

[tex]\dfrac{567}{7}=x^2[/tex]

[tex]81=x^2[/tex]

Taking square root on both sides, we get

[tex]x=\pm \sqrt{81}[/tex]

[tex]x=\pm 9[/tex]

Side cannot be negative. So, x=9 inches.

Now,

Width = 9 inches

Length = 7(9) = 63 inches

Therefore, the length of the rectangle is 63 inches.

Emir and his family ordered a meal that cost $50. Emir paid 8% sales tax and left an 18% tip on $50. What was the total cost?

Answers

Answer:

$63.00

Step-by-step explanation:

Your first step is to change the percents into fractions, you do this by moving the decimal point two times to the left.

Your equations look like this:

Tip equation: .18 * 50 = $9.00

Tax equation: .08 * 50 = $4.00

Then you just add them all up to get the total, and you get,

9+4+50 = 63

Cameron makes a quilt design using four congruent triangles as shown below. 4 connecting congruent triangles are shown. The bottom 2 triangles share the same base. The top 2 triangles also share the same base and sit on top of the bottom 2 triangles. The base length is 21 centimeters. The length of the bottom side of the triangle is 14 centimeters. The length of the right side of the triangle is 9 centimeters. What is the perimeter of the entire design? 46 cm 64 cm 108 cm 147 cm

Answers

Answer:

64 cm Tom Brady the goat

Step-by-step explanation:

Answer:

64cm

Step-by-step explanation:

edge 2021 -*+ have a good day -*+

Which equation represents a line which is parallel to y=0
A) x= -5
B) y= -8
C) y= x
D) y= x+2

Answers

I think C) y=x because a line that is parallel to y=0 would be y=x and if there isn’t a number in front of a variable then it equals 1x. So I would pick C. Hopefully this helps♥️.

John plans to make a rectangular garden plot with a length of 2x + 3 feet and a width of x + 2 feet.
- What is the perimeter of the garden?

Answers

Answer: 6x+10 ft

Step-by-step explanation: To find the perimeter, all you have to do is add up all the sides. So that would be x+2+x+2+2x+3+2x+3. That is 2x+4+4x+6. And the final answer is 6x+10.

Isabelle and jamie share money in the ratio 2:3 isabelle recieve £42 how much money does jamie get​

Answers

Answer:

£63

Step-by-step explanation:

£42 is 2 parts so 1 part is half so £21

21 x 3 is 63 so jamie gets 63 pounds.

A salad lettuce,tomatoes,and onions would be classified as a

Answers

A salad can be defined as plate full of different kinds of vegetables and fruits which are edible.
The plates contains tomatoes which are different in chemical composition, lettuce which is also different in chemical composition and onions which are all mixed together.
Elements having different chemical composition when combined together is known as a mixture

will give brainlist asap

Answers

Answer: x=22

Step-by-step explanation: all the angles in a triangle equal 180 degrees. This becomes 5x+70=180. Simplify the equation it becomes 5x=110. divide by five it becomes x=22

Answer:

Its 22

Step-by-step explanation:

Estimate and then solve 1,029 ÷ 21 = ___. (4 points)

a
3.9

b
39

c
49

d
490

Answers

you’re answer is c.49
i didn’t have to estimate because 21 times 49 gives you 1,029

Hope this is helpful!!!

Beth describes her current location: "I'm directly south of the theater, halfway to the restaurant." Plot the point representing Beth's location.

Answers

Answer:

Plot it at (4,-0.5)

Step-by-step explanation:

Answer:

-4, -0.5

Step-by-step explanation:

What is the slope of the line that passes through the points (-9, -3) (1 , -3)

Answers

Answer:

Slope is 0

Step-by-step explanation:

Slope is the change in the y coordinate over the change in the x coordinate so:

(-3 - -3)/ (1 - -9) = 0/10

this is a horizontal line

NEED THIS ANSWER BY THE END OF THE DAY PLEASE HELP !!
The sum of two numbers is 45. The smaller number is 17 less than the larger number. What are the numbers ?

Answers

Answer:

small number is 14

Larger number is 31

Step-by-step explanation:

Let x = one number

Let y = the second number

x + y = 45

x = y - 17

Put y - 17 into the top equation for x

y - 17 + y = 45

2y - 17 = 45          Add 17 to both sides

2y = 45 + 17

2y = 62                Divide by 2

y = 62/2

y = 31

PLEASE HELP! FIRST TO ANSWER AND I'LL MATK YOU BRAINLIEST! I MEAN IT"S ONLY 7TH GRADE MATH!!!!!!
an antelope running started and covered 1,110 feet in 15 seconds. what is the antelopes speed in feet per second. plz show your work.

Answers

speed= distance/time

= 1110/15
= 74 feet per second

two common multiples of 4 and 8 are​

Answers

Answer:

8, 16

Step-by-step explanation:

4. 6x + 2x - 3
help lol i was absent when we learned this and i’m clueless

Answers

Answer:

8x - 3

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define expression

6x + 2x - 3

Step 2: Simplify

Combine like terms:          8x - 3

Find the product. Write your answer as a mixed number in simplest form. 5 2/9 x 2 3/7

Answers

Answer:

12, 43/63

Step-by-step explanation:

Answer: 12 43/63

Step-by-step explanation: it was correct on my test

Just need a short 2-3 sentence explanation.

Answers

Answer:

id understand wat the question is

Step-by-step explanation:

Tantasic charges a reservation fee of 20$ and $1 per minute in a tanning bed. Bettersun charges no reservation fee but charges 2$ per minute. How many minutes will the price be the same

Answers

Answer:

The indifference point is 20 minutes

Step-by-step explanation:

Giving the following information:

Tantasic:

Reservation fee of 20$ and $1 per minute

Bettersun:

2$ per minute.

First, we need to structure both total cost formulas:

Tantasic= 20 + 1x

Bettersun= 2x

x= number of minutes

Now, we equal both formulas and isolate x:

20 + 1x = 2x

20 = 1x

20= x

The indifference point is 20 minutes

What is 53 percent of 49? 2.597 25.97 259.7 2,597 HURRY

Answers

Answer:

25.97!!!!

Step-by-step explanation:

Answer:

TO find the answer of this mulitiply the percent in decimal form (move decimal point twice to the left)  by the number.

25.97 is correct

Step-by-step explanation:

Mike purchases a $22,000 car and plans to pay back the loan by making monthly payments over the course of 5 years. The interest rate is 3%. Compute Mike’s monthly payments using the amortization formula.

$383.09
$395.32
$427.91
$442.63

Answers

Answer:
the second one
$395.32

you eat 1/4 of a bag that is half full how much is left

Answers

1/4 of 1/2 is 1/8

so the remainder is 1/2 - 1/8 which is 3/8

Shown below are parallel lines n and p which are cut by transversals r and s which are perpendicular to each
other. Which of the following is the measure of 21?
(1) 51
(2) 64
(3) 72
(4) 102

will give brainliest asap!


Answers

It will be 3. 72 is your answer

Given the diagram given where lines n and p are parallel, and transversals r and s are perpendicular, the measure of angle 1 is: [tex]\mathbf{1) 51^{\circ}}[/tex]

The angle measure where two perpendicular lines intersect each other equals 90 degrees.

Therefore, the angle formed as shown in the figure attached, where transversals r and s meet = 90 degrees.

Since lines n and p are parallel lines, therefore:

[tex]m \angle 1 + 90 = 141[/tex] (alternate interior angles are equal)

Subtract 90 from each side

[tex]m \angle 1 = 141 - 90\\\\\mathbf{m \angle 1 = 51^{\circ}}[/tex]

Therefore, given the diagram given where lines n and p are parallel, and transversals r and s are perpendicular, the measure of angle 1 is: [tex]\mathbf{1) 51^{\circ}}[/tex]

Learn more here:

https://brainly.com/question/19191529

Roberto has run the first 16 miles of a race, which means he is 72% finished. How long is the race?

Answers

Answer:

approximately 22.2 miles

Step-by-step explanation:

16mi/72% =xmi/100%

72x=1600

x=22.2222222.....

Answer: 22.2 miles

Step-by-step explanation:

How do you find y-intercept with only slope and on point plz explain too
1,4;slope=-2

Answers

Answer:

y= -2x+6

Step-by-step explanation:

use point slope form ----> y-y,=m(x-x,)

(the commas serve as ones)

y-4= -2(x-1)

use distributive property

y-4= -2x+2

add 4 to each side

y= -2x+6

I need to know this 2/3+0.875 the final answer needs to be a decimal

Answers

Answer:

1.5416 and the 6 is repeating

Step-by-step explanation:

Solve 8r -12 = 12r + 8.
a. R = -5
b. R = -1
c. R = 5
d. R = 1

Answers

Answer:

The answer is R= -5 which is the choices A.

Step-by-step explanation:

hope this helps

Answer:

r = -5

Step-by-step explanation:

8r - 12r = 8 + 12

-4r = 20

r = 20/-4

r = -5

The new Adventures of Captain Kuyper Season 14 DVD Boxset costs $29 and the sales tax is 5.5%. What is the total cost of the DVD Boxset to the nearest penny?

1 point
$30.60
$1.60
$29.95
$30.45

Answers

The correct answer is $30.60
$30.60 because the sales tax would be $1.595, and when you add this to $29 you get approximately $30.60
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