Three times a larger number is 30 more than 5 times a smaller number. The sum of the larger number and 5 times the smaller number is 50.

Let x be the smaller number and y be the larger number.

Create a system and graph it to find the solution.

What are the two numbers?

x =
and y =

Answers

Answer 1
3y = 5x+30 , y+5x = 50

using elimination method ...

3y-5x=30
+ y+5x=50
——————
4y = 80
y= 20

so using one of the original equations..

20 + 5x = 50
5x = 30
x =6

x = 6
y = 20
Answer 2

Answer:

x=6 and y=20 just took a test

Step-by-step explanation:


Related Questions

2x + 12 = 2(x+8)-4
need answer asap pls

Answers

Answer:

there are inifnite solutions

Step-by-step explanation:

Answer:X=-8

Explanation:

-15
14
13
-12
-11
-10
9
-8
-7
6
-5
4
3
2.
0
1
2
2
3
4
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Type here to search

Answers

The next one is 16 probably

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Answers

Answer:1/3

Step-by-step explanation:

David wishes to build a circular fish pond. The diameter of the pond is to be 3m.
a. How many lineal meters of bricks are needed to surround it? Round your answer to two decimal places.
b. What is the coast if the bricks are $45 per meters? ( Use your answer from part a.)

Answers

Answer:

9.42m , $423.9

Step-by-step explanation:

C = 2πR

so, 2*3.14*1.5

=9.42478m

9.42*$45

= $423.9

Amaka buys 4 rulers and a pencil and these cost the same as 2 rulers and 4 pencils. If a pencil cost #8, how much does a ruler cost?

Answers

Answer:  ruler cost $12

Step-by-step explanation:

step 1

Let cost of ruler  be represented as r

and cost of pencil be represented as p

we were given that

4 rulers and a pencil and these cost the same as 2 rulers and 4 pencils which is expressed as

4r + p = 2r+ 4p

and cost of pencil= $8

therefore

sTEP 2--- Solving

4r+ 8 = 2r+ 4 x8

4r+ 8 = 2r+ 32

4r - 2r= 32-8

2r= 24

r= 24/2 = r= $12

Write these in order starting with the smallest first.
12% 3/8 0.0123 42% 1/5 0.45

Answers

12% = 12/100-> 1.2/10

Decide whether n = 9 is a solution to
the equation 2+n=7. Write yes or no

Answers

Answer:

No. The answer would be n=5

Step-by-step explanation:

You have to subtract the 2 from both sides to cancel it out on the left side. so you would be doing 7-2, not 7+2

5 1/3 + (-4 1/6)+ (-2 1/2)

Answers

Answer:

[tex]-\frac{4}{3}[/tex]

Step-by-step explanation:

We are given that

[tex]5\frac{1}{3}+(-4\frac{1}{6})+(-2\frac{1}{2})[/tex]

We have to find the value of given expression

[tex]\frac{5(3)+1}{3}-(\frac{4(6)+1}{6})-(\frac{2(2)+1}{2})[/tex]

[tex]=\frac{15+1}{3}-\frac{24+1}{6}-\frac{4+1}{2}[/tex]

[tex]=\frac{16}{3}-\frac{25}{6}-\frac{5}{2}[/tex]

LCM(2,3,6)=6

[tex]=\frac{32-25-15}{6}[/tex]

[tex]=\frac{32-40}{6}[/tex]

[tex]=\frac{-8}{6}[/tex]

[tex]=-\frac{4}{3}[/tex]

What is the value of the
expression below if a = -4, b = 5?

Answers

Answer:

56

Step-by-step explanation:

2a^2b+5ab-4

substitute a & b:

2(-4)^2(5)+5(-4)(5)-4

2(16)(5)+5(-4)(5)-4

160-100-4=56

The answer should be 38
Sorry if it’s wrong

Please help asap ill mark you brainliest!!

Answers

Answer:

4,184.87 square meters

Step-by-step explanation:

let me know if you want to see work . . .

Which function does the graph represent?
Of(x) = (x - 2)2 + 3
Of(x) = -(x - 2)2 + 3
Of(x) = (x + 2)2 + 3
O f(x) = -(x + 2)2 + 3

Answers

Answer:

The function which represents the graph is:

[tex]y=-\left(x\:-\:2\right)^2+\:3[/tex]

Hence, option  B is correct.

The graph is also attached.

Step-by-step explanation:

From the graph, it is clear that:

The vertex = (2, 3)

The y-intercept = (0, -1)

Let us check the equation

[tex]y=-\left(x\:-\:2\right)^2+\:3[/tex]

Determining the y-intercept:

The value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

substituting x = 0 in teh equation

[tex]y=-\left(x\:-\:2\right)^2+\:3[/tex]

[tex]y=-\left(0\:-\:2\right)^2+\:3[/tex]

[tex]y=-2^2+3[/tex]

[tex]y=-4+3[/tex]

[tex]y=-1[/tex]

Thus,

The point representing the y-intercept is:  (0, -1)

Determining the vertex:

The vertex of an up-down facing parabola of the form ax² + bx + c is:

[tex]x_v=-\frac{b}{2a}[/tex]

As the equation is

[tex]y=-\left(x\:-\:2\right)^2+\:3[/tex]

Rewriting the equation [tex]y=-\left(x\:-\:2\right)^2+\:3[/tex] in the form ax² + bx + c:

[tex]y=-x^2+4x-1[/tex]

The Parabola params are:

[tex]a=-1,\:b=4,\:c=-1[/tex]

Thus,

[tex]x_v=-\frac{b}{2a}[/tex]

[tex]x_v=-\frac{4}{2\left(-1\right)}[/tex]

[tex]x_v=2[/tex]

Now plug in [tex]x_v=2[/tex] in the equation to find [tex]y_v[/tex]

[tex]y_v=-x^2+4x-1[/tex]

[tex]\:y_v=-\left(2\right)^2+4\left(2\right)-1[/tex]

[tex]y_v=-4+8-1[/tex]

[tex]y_v=3[/tex]

Therefore, the vertex of the equation is:  (2, 3)

Hence, the function which represents the graph is:

[tex]y=-\left(x\:-\:2\right)^2+\:3[/tex]

Hence, option  B is correct.

The graph is also attached.

Find the missing dimension of a triangle with a base of 14.2 yd and a area of 63.9 yd

Answers

Answer:

7.78

Step-by-step explanation:

first you need to divide both numbersthen you nullify the sumyv6bgu6g6ogi5 baka

A shoe sales associate earned $300 in November. In December she earned 8% more than she did in November. How much she earn in December? *

Answers

Answer:

$324.00

Step-by-step explanation:

Increase the number by 8% of its value.

Percentage increase = 8% × 300

New value =

300 + Percentage increase =

300 + (8% × 300) =

300 + 8% × 300 =

(1 + 8%) × 300 =

(100% + 8%) × 300 =

108% × 300 =

108 ÷ 100 × 300 =

108 × 300 ÷ 100 =

32,400 ÷ 100 =

324

$24.. 8% of $300 equals 24 so the associate made $324 dollars in December. 24+300=324

does anyone know the answer

Answers

Answer:

yes me

Step-by-step explanation:

na jp ion know

When solving the inequality 3x - 2 < 8x + 10, the next line
becomes 3x < 8x + 12. Which property justifies this step?
(1) Distributive
(2) Associative
(3) Multiplicative Property of Equality
(4) Additive Property of Equality

Answers

The answer is 3 hope this helps

The sum of 6 times a number and 8 times another number is 12. The difference of those numbers is 9. What are the two numbers

Answers

Answer:

(x,y): (6 , -3) or (-30/7 , 33/7)

Step-by-step explanation:

6x + 8y = 12

x = y + 9 or   y = x+ 9

if x = y+9

6*(y+9) + 8y = 12

14y = -42

y = -3 and x = 6

if y = x+9

6x + 8*(x+9) = 12

14x = -60

x = -30/7   and y = 33/7

Which expression is equivalent to 4(3+5) - 3•9^2

Answers

Answer:

se eu não me engano é 11.962962963 por ai agora pega esse numero e faz como expressão equivalente ok

Step-by-step explanation:

espero ter ajudado.

PLEASE HELP ME I BEG OF YOU

Answers

= d+5+d+5+d+5+d+5

= 4d+20

=4(d+5)

I hope this helps☺️

hii pls help me if u cann

Answers

Answer:

3/4x+2

Step-by-step explanation:

We can see the y intercept is 2 so our equation looks like this

y=mx+2

We just need to solve for m

We can take the point

(4,5)

and plug it in

5=4x+2

solve for x

x=3/4

pls help me with this multiple choice !

Answers

Answer:

A

Step-by-step explanation:

[tex] \sin(60) = \frac{13 \sqrt{ 3 } }{x} \\ x = \frac{13 \sqrt{3} }{ \sin(60) } = 26 \\ \cos(60) = \frac{y}{26 } \\ y = 13[/tex]

Cameron is on page 21 of his book. He reads 112 pages per minute and wants to read to at least page 84 tonight. The inequality 21+112t≥84 models this situation, where t is time in minutes. Which represents the time it will take Cameron to reach his goal?

Answers

Answer:

t ≥ 0.5625

Step-by-step explanation:

Given:

21 + 112t ≥ 84

112t ≥ 84 - 21

112t ≥ 63

t ≥ 63/112

t ≥ 0.5625

t = time in minutes

Area is expressed in

Answers

Answer:

the answer should be square units

Area is expressed in Square units



What happens when a figure is dilated .

Answers

Answer:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. A dilation that creates a larger image is called an enlargement. A dilation that creates a smaller image is called a reduction. A dilation stretches or shrinks the original figure.

What number is halfway between
1/5
and
4/15

Answers

Answer:

1/5+4/5

1×5/5+4×1/5

5/5+4/5

5+4/5

9/5

(9/5)/2

The measure of one angle is thirteen less than five times the measure of another angle. The sum of the measures of the two angles is 140°. Determine the measure of each angle in degrees.

Answers

Answer:

The two angles are 25.5 and 114.5

Step-by-step explanation:

x = measure of one angle

5x - 13 = measure of the other angle {one angle is 13 less than 5 times the other}

x + 5x - 13 = 140 {sum of the two angles is 140}

6x - 13 = 140 {combined like terms}

6x = 153 {added 13 to each side}

x = 25.5 {divided each side by 6}

5x - 13 = 114.5 {substituted 25.5, in for x, into 5x - 13}

I need help quickly!!!

You solve a system of two linear equations by substitution. Your work results in a third equation, which leads you to conclude that the system has infinitely many solutions. Which of the following could be the third equation?

The options are:
5=0
-4=-4
2y=14
3x+10=16

Answers

-4=-4.......................

find the value of x and y (5y-23) (2x+13) (3x) 47​

Answers

Answer: I will tell you if you keep reading

Step-by-step explanation:

5y represents the mass of the sun and -23 is the degrees outside. So you have to find how many peices of chocolate bob has eaten in order to find the value (3x) 47

Help plsssssssssssssss

Answers

Answer:

45

Step-by-step explanation:

r

Answer:

8 centimeters is > 19 millimeters

Step-by-step explanation:

Find the total surface area of the rectangular prism

Answers

The surface area of the rectangular prism is 782 square inches.
782 square prism how this helps

Is the circumference of a circle that the diameter is 9.4 cm

Answers

Answer:

To find the radius we must multiply by two to get 18.8

Then we multiply 18.8 for PIEEEEEE

3.14x18.8= 59.03

Step-by-step explanation:

I hope this helps!!!!! Please mark me brainliest.

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