Solve the system using substitution.
6x+8y=30 y=1/2x

Answers

Answer 1

Answer:

(3, 1.5)

Step-by-step explanation:

Given the system:

6x + 8y = 30 y=1/2x

Substitute y and solve for x:

6x + 8y = 306x + 8(1/2x) = 306x + 4x = 3010x = 30x = 3

Find y:

y = 1/2xy = 1/2(3)y = 1.5

Solution is (3, 1.5)


Related Questions

please help i cant figure this out :/

Answers

Answer:

6,15

Step-by-step explanation:

A dilation is the changing of a size. A scale factor is a proportional number that tells us how much we change a shape.

If the scale factor is over 1, the new image will stretch.

If the scale factor is under 1, the new image will shrink

Since we are asked to find A' (which is prime notation) meaning that we are asked to find the coordinates where A' is at on the new image.

Since the scale factor is 3,

3 is greater than 1 so it will stretch.

Now, multiply 3 to each number

to find it new location.

[tex] \frac{2}{5} \times \frac{3}{3} = \frac{6}{15} [/tex]

So the coordinates are at 6,15

Answer:

I'm pretty sure you multiply each number in (2,5) by the 3 to get new coordinates of (6,15)

that's the only answer that could fit :)

Lin runs 12 laps around a track in 15 minutes.

A. How many minutes per lap is that?

B. How many laps per minute is that?

C. If Lin runs 20 laps at the same rate, how long does it take her

Answers

Answer:

it will take 25.2 minutes for Lin to run 21 laps

Step-by-step explanation: give crown plsplsplsplsplsplsplsplsplspls, also have a good day!

Is the relationship between the number of tickets sold and the number of hours proportional? If so, how many tickets were sold in 8 hours?

Answers

Answer:

Answer: Yes, the amount of money is proportional to the number of hours worked because there is a number.

Step-by-step explanation:

hi ansswer for this quick i will mark u as brainlest

Answers

Answer:

Smallest B. 300,000

Larger C. 1,000,002

Largest A. 3,000,000

Step-by-step explanation:

A. 100 × 30,000

= 3,000,000

B. 3 × 100,000

= 300,000

C. 1 million + 2

= 1,000,000 + 2

= 1,000,002

Arrange from smallest to the largest

Smallest B. 300,000

Larger C. 1,000,002

Largest A. 3,000,000

Which expression equals the fraction of the square that is shaded dark blue?

Answers

If this is one of the option 3/4 + 1/2 it’s right

Answer:

this is the answer

Step-by-step explanation: pretty easy tbh

Find the missing side length.
12
15

Answers

Answer:

you need to show the shape or somet or else I can't rlly help

Answer:

If the hypotenuse is 15 and one of the sides is 12, the answer is 9.

If these are the side lengths, the hypotenuse is square root of 369, which is about 19.21

Step-by-step explanation:

sewing a border of ribbon onto her rectangular picnic blanket. The long side of the blanket is 70cm and the short side is 40cm. How much ribbon will she need?

Answers

Answer:

[tex]220[/tex] cm

Step-by-step explanation:

We need to find the perimeter of the rectangular blanket in this case because a border is being sewn onto the blanket. The perimeter of a rectangle can be calculated by multiplying the sum of the rectangle's length and width by 2. As an algebraic expression, that would be [tex]2(l+w)[/tex], where [tex]l[/tex] is the rectangle's length and [tex]w[/tex] is the rectangle's width. We are given that [tex]l=70[/tex] and [tex]w=40[/tex]. Therefore, [tex]2(70+40)=2*110=220[/tex] cm of ribbon will be needed. Hope this helps!

HELP MEEEEEE PLEASEEEEEEE

Answers

Answer:

65 is the correct answer

Is 3 a factor of 14t-20?

Yes

No

Answers

Answer:

No

Step-by-step explanation:

I dont really know

No, 3 is not a factor of 14t-20

Find the common difference of the arithmetic sequence. −16,−12,−8,−4,..

Answers

it’s 4
you work out the difference between each term

Find the next three terms in the sequence below.
[tex]\frac{21}{2} , \frac{19}{3}, \frac{17}{4} , 3, . . .[/tex]

Answers

Answer: 13/6

Step-by-step explanation:

Based upon the previous sequence.

1.there is a constant decrease of two in the numerator

2. There is a constant increase of one in the denominator

to find the fourth number in the sequence I used One of the numbers from the previous to determine the answer.

17/4 — —> then I followed the pattern and determine what fraction 3 was       .   .                 before it was converted into a whole number.

which would be 15/5 —> Now considering equations that are written like this also mean division, because in this case division is possible the answer would be 3, which would make the whole number 3 instead of 15/3. considering it was an improper fraction.

____________________________________________________________

Now If 15/5 wasn’t converted into 3, The answer to the  sequence would be 13/6. If you follow the pattern like I said before there is a certain amount of increase and decrease so 13/6 will be your answer. The only reason is not a whole number because 13 can’t be divided by six to get a whole number.

13/6 because the nex

12 cm
8 cm
Find the volume of the cylinder

Answers

Answer:

ubstitute the value of the radius r = 8.0 cm height h = 12.0 cm into the formula to find the volume. Pi (π) is approximately equal to 3.14 .

π x 82 cm2 x 12 cm

Raise 8 cm power of 2

π x 64.0 cm2 x 12 cm

Multiply 64.0 cm2 and 12 cm

π x 768.0 cm3

Combine π and 768.0 cm3

The result can be shown in multiple forms.

Exact Form

Volume = 768.0π cm3

∴ Volume of Cylinder radius 8 cm and height 12 cm is 768.0π cm3

Decimal Form

Volume = 2411.52 cm3

Step-by-step explanation:

3) Barbara can walk 3,200 meters in 24 minutes. How far can she walk in 3
minutes? (journal pg. 49)
+
320 meters
400 meters
640 meters
720 meters

Answers

Answer:

400 meters

Step-by-step explanation:

We know that Barbara can walk 3,200 meters in 24 minutes . And are being asked to see how far she can walk in 3 minutes.

Create the unit rate. Since Barbara can walk 3,200 in 24 minutes and we're trying to figure out how many meters she walks in 3 mintues, make the meters "M"

[tex]\frac{3200}{24} = \frac{M}{3}[/tex]

Let's do something that can make 24 mintues go to 3 minutes, this would be dividing 24 by 8, do the same with the numerator :

[tex]\frac{3200/8}{24/8}[/tex]

[tex]\frac{400}{3}[/tex]

Therefore Barbara can walk 400 meters in 3 minutes,

Can someone pls help me the info is in the photo pick A B C or D select all that applies.

Answers

Answer:

well its a

Step-by-step explanation:

its a c and d

Answer:

3 & 4

hope this helps :)

Natalia has 15,000 centimeters of yarn. How many meters of yarn does she have?
O 150 meters
O 15 meters
O 0.15 meter
O 1,500 meters

Answers

the answer would be 150 meters
to convert centimeters to meter divide by 100

a taxi. service charges Rs 100as an initial fee and 50 Rs for 1 km.write an algerebaic expression for the total amount that has to paid for journey of X meters​

Answers

Answer:

y=20+(Total distance−1)12 [(Total distance-1), As 1

st

kilometer is charged at Rs.20]

y=20+(x−1)12

y=12x+8

when x=16, y=200

solution

Step-by-step explanation:

i hope it's help...

In JKL, k=4.1 cm,j=3.8 cm and angle J=Q3^ Find all possible values of angle K , to the nearest inch of a degree .

Answers

Answer:

74.0°

Step-by-step explanation:

In triangle JKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°. Find all possible values of angle K, to the  nearest 10th of a degree

Solution:

A triangle is a polygon with three sides and three angles. Types of triangles are right angled triangle, scalene triangle, equilateral triangle and isosceles triangle.

Given a triangle with angles A, B, C and the corresponding sides opposite to the angles as a, b, c. Sine rule states that for the triangle, the following holds:

[tex]\frac{a}{sin(A)}=\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex]

In triangle JKL, k=4.1 cm, j=3.8 cm and angle J=63°.

Using sine rule, we can find ∠K:

[tex]\frac{k}{sin(K)}=\frac{j}{sin(J)} \\\\\frac{4.1}{sin(K)}=\frac{3.8}{sin(63)} \\\\sin(K)=\frac{4.1*sin(63)}{3.8}\\\\sin(K)=0.9613\\\\K=sin^{-1} (0.9613)\\\\K=74.0^o \\[/tex]

WILL GIVE BRAINLIST DUE IN A COUPLE MINS

Answers

Honestly, I think it’s the first one but I’m not for sure.

A relay race is 1/4 miles long. There are 4 team members that have to run it. If each team member runs the same distance how many miles will each person run?

Answers

Answer:

1/16 miles

Step-by-step explanation:

1/4 ÷ 4 = 1/16

Answer:

1/4 mile

Step-by-step explanation:

hannah buys 2 dozen roses. Of these 3/4 roses, are red, and the rest are white. How many white roses does she buy?​

Answers

Answer:

6 white roses

Step-by-step explanation:

Well 2 dozen is 24 and 24 divided by four is 6. And there were only 1/4 of white roses in the 24

Answer:

2-3/4=3/2

Step-by-step explanation:

just do this and oh whats that the A plus bus

Three cans of cat food cost $5.00 how muck will carol spend on 60 worth of cat food

Answers

Answer:

$100.00

Step-by-step explanation:

we know that 3 cans are equal to $5.00 and 60 is 20 times 3 and so 5*20 is 100.

All books are on sale for 25% off. If Pam bought a book originally priced at $32 and had a coupon for another 25% off, how much did she pay (not including sales tax)?​

Answers

Answer:

$24

Step-by-step explanation:

if you multiply 32 by .25 you get 8 which i subtracted from 32 to get the original price

Answer:$18

Step-by-step explanation:

32 * (0.75) * (0.75) = 18

A scooter tracked 30 feet in 2 seconds at a constant speed what is the speed of the scooter in feet per second

Answers

15 feet per second. divide 30 by 2

Clear
The perimeter of a regular octagon is 88 mm. How long is each side?​

Answers

Answer:

11 mm

Step-by-step explanation:

An octagon has 8 sides. This mean that we do 88 divided by 8 to get the length of each side which is 11 mm.

Simplify the expression: 4s + 5t + 6 - 4t

Answers

4s+T+6 T might have a one before it depending on how u write it

How many roots does this graph have ?

Answers

Answer:

3

Step-by-step explanation:

DO NOT SIMPLIFY YOUR ANSWERS
Sam owns a canoe rental company with 120 boats. He has 55 wood boats, and the rest are fiberglass. What is the ratio of...
fiberglass boats to wood boats?
total boats to fiberglass boats?
wood boats to other boats?
wood boats to total boats?
*answers are NOT TO BE SIMPLIFIED. YOU MUST use the colon key. . NO SPACES
Oulz saved

Answers

Answer:

Step-by-step explanation:

13/11,24/13,11/13,11/24

Answer:

65:55, 55:65, 55:120

Step-by-step explanation:

Fiberglass boats are = 65 because 120-55=65

Fiberglass to wood means that there is a 65:55 ratio because there are 65 fiberglass boats and 55 wood boats

wood to other, this is kind of a trick question, but its 55:65 because there are 65 other boats and 55 wooden boats

wood to total, this is 55:120 there are 55 wood boats and 120 total boats.

Reuben hires a car. It costs £150, plus 85p for each mile he travels. When Reuben hires the car, its mileage is 27612 miles. When Reuben returns the car, its mileage is 28361 miles. How much did Reuben pay to hire the car?

Answers

Answer:

Cost of hiring a car = £63,815

Step-by-step explanation:

Cost of hiring a car = 150 + 85p

When Reuben hires the car, its mileage is 27612 miles. When Reuben returns the car, its mileage is 28361 miles.

Number of miles Reuben travelled = 28,361 miles - 27,612 miles

= 749 miles

Cost of hiring a car = 150 + 85p

= 150 + 85(749)

= 150 + 63,665

= 63,815

Cost of hiring a car = £63,815

PLS HELP QUICK !!

Which relationships describe angles 1 and 2?

Select each correct answer.

a. adjacent angles
b. supplementary angles
c. complementary angles
d. vertical angles

Answers

The answer is “B” I’m sorry if this is wrong :(

16% of 23
please helpppppp
1% of the same number is 4.6

Answers

Answer:

3.68

Step-by-step explanation:

Make 16% a decimal then multiply by 23

.16*23=3.68

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