1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vovangra [49]
3 years ago
5

Solve the system of equations by substitution. y = 5x - 13 4x + 3y = 18 The solution is

Mathematics
1 answer:
Rudik [331]3 years ago
3 0

Answer:

x=3 and y=2

Step-by-step explanation:

1.) 4x+3(5x-13)=18

expand into 4x+15x-39=18

18+39= 57

15x+4x= 19x

57/19= 3 so x=3

substitute 3 into y= 5x - 13

and you get 2 so y=2

You might be interested in
What is the result of 3 divided by one-sixth?<br><br> 3 boxes of 6 squares<br> 2<br> 9<br> 18<br> 27
dsp73

Answer:

3÷1/6

3×6(if we have to convert it in multiply we have to reciprocal it)

18

6 0
3 years ago
Read 2 more answers
It takes Leon 17 hours to seal his driveway working by himself. If Michael helps Leon, they can seal the driveway in 2 hours. Ho
Norma-Jean [14]

Answer:

It takes Michael 1 hour, 14 minutes and 7 seconds to seal the driveway close

Step-by-step explanation:

Hi

Leon do the work in 17 hours that means the rate of his work is \frac{1}{17} work/hr, so he do \frac{2}{17} of the work in two hours, therefore Michael do the other \frac{15}{17} of the work, thus Michael rate will be \frac{15}{17} \div\frac{1}{2} =\frac{30}{17} work/hour.

So it takes Michael 1h+\frac{4}{17}h to complete the work, or \frac{4h}{17} \times \frac{60min}{1hour} =14\frac{2}{17} min\\\\\frac{2}{17} min \times \frac{60 secs}{1min}=7secs

1h \ 14 min \ 7secs

8 0
3 years ago
Brainliest reward if you get this right plus 20 points
SOVA2 [1]

Answer:

The equation of the relation ⇒ y=\frac{6x}{z}

y = 18

Step-by-step explanation:

∵ y ∝ x/z

∴ y = kx/z

∵ y = 18 , x = 15 and z = 5

∴ 18 = 15k/5 ⇒ 18 = 3k

∴ k = 18/3 = 6

∴ y = 6x/z

∵ x = 21 and z = 7

∴ y = (6 × 21)/7 = 18

3 0
3 years ago
The scale of the room design shows that 1" = 3 feet. How big is the actual room if the design shows a square that is 6 inches wi
adoni [48]

Answer:

arah is at a miniature exhibit. There is a model of a skyscraper. Underneath the model was a ratio. It said:

1 inch=30 feet.

If the model is 38 inches tall, how Sarah use this information to find the actual height of the skyscraper?

In this concept, you will learn how proportions are used to find actual and scale dimensions using a scale ratio.

Using Proportions to Find Dimensions

A scale is a ratio that shows the relationship between the representation of an object and the real measurement of an object. Toy makers use scale ratios to make models of cars and airplanes that are proportional to the real thing. Architects use scale drawings to plan the design of buildings.

A scale drawing is a drawing that is used to represent and object that is too large to be drawn in its actual dimensions. If a drawing is to scale, you can use proportions to determine the actual dimensions of the scale drawing.

Let’s look at a scale drawing of a sculpture. In the drawing, the sculpture is 4 inches tall. The scale is 1 inch : 4 feet. It scale can be written as

1 in4 ft

(Note: Inch is abbreviated “in.” or with the double prime mark, ″. Foot/feet is abbreviated “ft” or with the single prime mark, ′.)

A drawing with this scale tells you that 1 inch on paper is equal to 4 feet in real life. If the drawing is 4 inches tall, use the scale to find the actual height of the sculpture.

First, create a proportion using equivalent ratios. Remember to write the corresponding units in the numerator and in the denominator. The actual height of the sculpture is represented by the variable x.

1 in.4 ft.=4 in.x ft.

Then, cross multiply and simplify the equation to find the value of x.

xx==4(4)16

The sculpture will be 16 feet tall.

Let’s make a scale drawing. Use the scale 1′′=2′. Draw a room that is 8′×12′.

First, write a proportion to find the measurement of the width.

1′′2′=x′′8′

Next, cross multiply and simplify the equation to find the value of x.

2x2xx===1(8)84

The drawing will be 4

4 0
3 years ago
The number of roses (r) in a garden increases when the number of weeds (w) decreases. Write the correct equation for this scenar
ahrayia [7]
The choices are <span><span> A. r= 200 over w; r = 40 B. r = 200 over w; C. r = 1000
C. r = 2w; r = 10 D. r = 2w; r = 2.5. T</span>he situation</span> implies that the number of roses is inversely proportional to the number of weeds. In this case, the answer is either a or b. Given 5 weeds,the one that fits is A. <span>A. r= 200 over w; r = 40. </span>
3 0
3 years ago
Other questions:
  • Ratio 3:4 boy/girls 245 total how many are boys
    7·2 answers
  • the stopping distance of an automobile is directly proportional to the square of its speed v. a car required 90 feet to stop whe
    8·1 answer
  • Identify the independent and dependent variables for this study. The independent variable is the ratio of students to faculty us
    15·1 answer
  • is the following statement sometimes,always or never true?negative - positive =negative defend your answer
    11·1 answer
  • How was the first pilgrimage presented?
    5·1 answer
  • If r is the radius of a circle and d is its diameter which of the following is an equivalent formula for the circumference c = 2
    12·2 answers
  • Could you help I'm clueless​
    10·1 answer
  • Step by step explaination<br> 2x + 4 &lt; 8
    6·1 answer
  • I will give 100 points for 5 questions
    13·1 answer
  • 6x?=928 Tell me the anwser and i will give money
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!