what is the sum of two numbers is "-7." Two times the first number equals 4 the second number. Find the two numbers.

Answers

Answer 1

Answer:

[tex]\sf \text{The numbers are $\dfrac{-14}{3} $ and $\dfrac{-7}{3}$}[/tex]

Step-by-step explanation:

Let the numbers be x , y

Sum of two numers = -7

x + y = -7------------(I)

Two times the first number equals 4 the second number.

2x = 4y  ----------(II)

Divide both sides by 2

       [tex]\sf \dfrac{2x}{2}=\dfrac{4y}{2}[/tex]

        x = 2y

Subtitute x = 2y in equation (I)

2y + y = -7

      3y = -7

       y = -7/3

Plugin y = -7/3 in equation (II)

[tex]\sf 2x = 4*\dfrac{-7}{3}\\\\2x = \dfrac{-28}{3}\\\\x =\dfrac{-28}{3*2}\\\\x = \dfrac{-14}{3}[/tex]


Related Questions

jane has twice as many books as Kate. if jane gives 14 books to Kate , they will have the same number of books. how many books do they have altogether?
need help plss

Answers

Answer:

I believe the answer is 42 books.

Step-by-step explanation:

PLS HELP ME
••Pls show your work pls and thank you••

Answers

Let’s break it down
$36 every 4 hours is $9 an hour
(36 divided by 4)

A.
$144 divided by $9 is 16
So A. is 16

B.
$222 divided by $9 is 24.6 rounded to 25

C.
$9•40=$360 (40hour work week)
$9•7=$63 (7 hour day)

Apologies for the messy writing

John, Musa and Mable shared 180,000 in the ratio of 2:3:4 respectively How much money did each get?​

Answers

Answer:

2:3:4=40,000:60,000:80,000

Step-by-step explanation:

plus 2+3+4

thats 9

divide 9 by total amount which is what ratio 1 got =20,000

so now you multiple each ratio with 20,000 to get the ratio.

Mark's age 15 years ago can be expressed as:

Answers

the question does not complete

help? I can’t figure out this problem

Answers

Answer:

  B

Step-by-step explanation:

Euler's formula tells you that ...

  cos(θ) +sin(θ)·i ≡ e^(i·θ)

__

So, for θ = 90° (= π/2 radians), this is ...

  cos(π/2) +sin(π/2)·i = 0 +i = i = e^(i·π/2) . . . . . matches choice B

what is 108 x 0.37 in money

Answers

The answer to ur questions is $39.96

saved: 12:19 PM
Week 1
Week 2
Week 3
Total
Lettuce
$5.48
?
$3.55
$12.00
Apples
$3.57
$ 2.12
$4.44
?
Chicken
$8.12
$10.13
?
$20.45
Enter his total cost for lettuce, apples, and chicken during Week 2.
$

Answers

135

Step-by-step explanation:

salamat po dana po makatulong

The car you are taking is reliable and in good condition. The insurance is paid, the maintenance is up to date, and it gets about 27 miles to the gallon. The gas tank holds 18.5 gallons, and the low gas light will turn on when there are 2.5 gallons left in the tank. You have saved up $1,264
to spend on these trips. You must get gas if your low gas light turns on. The average gas price in
Oregon right now is $3.20 a gallon.
a. How much does it cost to fill up your gas tank?
b. How far can you travel on a tank of gas?
c. Write that as an equation.

Answers

Answer:

a=$59.20b=432 miles

C

27g=x miles on a full tank of gas

27(16)=x

x=432 miles

Step-by-step explanation:

$3.20x18.5=$59.2018.5-2.5=16 gallons16 gallons x 27 miles= 432 miles27g=x miles on a full tank of gas27(16)=xx=432 miles

Ms. Johnson's sixth grade class handed out surveys,
one to each student, about hair color and later posted the results:
75% of students had brown hair
20% of students had red hair
10% of students had blonde hair
What is the error in this sampling?
OA. Not that many students had brown hair.
O B. No one kept track of the number of surveys that went out.
O C.
The results add up to more than 100%
O D. Only two students were involved in tabulating the results.

Answers

Answer:

b

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

this should be obvious as 75 + 30 = 105

Can you please solve​

Answers

7.25% of 38,000

10% = 3,800

5% = 1,900

1% = 380

0.50% = 190

0.25% = 95

1,900+380+380+95 = 2,755

38,000+2,755 = 40,755

Find the area and the circumference of a circle with radius 6 cm.
Write your answers in terms of it, and be sure to include the correct units in your answers.

Answers

Step-by-step explanation:

radius=6cm.

π=22 over 7

circumference=2πr

circumference=2×22 over7×6

circumference=51.04cm

What is the surface area of the prism in the picture?

Answers

[tex]\bold{ANSWER:}[/tex]
390 m^2

[tex]\bold{EXPLANATIONS:}[/tex]

Answer:

girl that is so easy, just look it up

Schools
Name
7th Grade Math EOY, L104 (Statistics and Probability)
Non-Uniform Probability Models
Homework
1. A box contains marbles of the following colors:
Blue
14
Green
10
Yellow
S
Red
68
(a) Create a probability model showing the theoretical probabilities of picking a marble
from the box
2. Tanya has 3 red hats and 2 blue hats. If she picks one hat at random 100 times, how
Date
Team

Answers

Answer:

this is too much, and I forgot how to do this



Which algebraic expression is equivalent to the expression below?
(16x - 2) + (10 - 8x)
OA. 8x + 12
OB. 26x - 10
OC. 24x + 12
OD. 8x + 8

Answers

Answer:

D. 8x + 8

Step-by-step explanation:

16x - 8x - 2 + 10 = 8x + 8

Hope this helps

Answer:

D. 8x + 8

Step-by-step explanation:

Simplify the expression:

16x - 2 + 10 - 8x

Combine like terms:

16x + 8 - 8x

8x + 8

hope this helps!

-
A rectangle has dimensions 2x – 12 by 3x + 9 and area 60 cm². What are the actual
dimensions of the rectangle?

Answers

Answer:

2 x 30   cm

Step-by-step explanation:

L x W = 60

(2x-12)(3x+9) = 60

 6x^2 -18x-168=0

use quadratic fromula to find   x = 7   or -4 (throw out)

the sides then become   ( using 7)    

 2   and 30   cm  

please i really need help right now 25 points

Answers

Step-by-step explanation:

choice 2 ..............

76/81*80/76 how to solve mentally

Answers

Answer:

[tex]\frac{80}{81}[/tex]

Step-by-step explanation:

The cross numerator and denominator of 76 can be crossed out leaving out simply.

[tex]\frac{76}{81} *\frac{80}{76}\\\frac{1}{81} *\frac{80}{1}=\frac{80}{81}[/tex]

EXPLAIN WHAT YOU PISCOVERED ABOUT THE NATURAL BASE E

Answers

Answer:

It's called the Natural Logarithm because so many processes in nature can be described mathematically using it.

For example:

1) The population of a colony of rabbits that reproduce at a constant rate

2) The decay rate of a charged capacitor

3) The decay rate of a radioactive isotope

4) The rate at which your money will grow if you apply an interest rate continuously over a period of time.

5) The population of seeds in a sun flower

6) etc.

Aman bootowed Rs 500 for 3 years at the oate for 5% Find his interest and amount​

Answers

Answer:

Interest=75

Amount=575

Step-by-step explanation:

Interest= Principal×rate×time÷100

500×5×3÷100=75

Amount=Principal+Interest

Amount=575

I hope you find this helpful

Answer:

Amount =principa+simple interest.

=575

Step-by-step explanation:

Simple =(P*R*T) /100.

=(500*5*3)/100.

=75.

.....

500+75=575

Dr. Orchid has 9 paintings she wants to hang side by side on her wall.
(A) in how many ways can she arrange all 9 paintings? Show your work.
(B) if she only wants to display 4 of the paintings, in how many ways can she choose the paintings she wishes to display? Show your work.

Answers

The number of ways Dr. Orchid can arrange all 9 paintings and 4 paintings is, 362880 and 126 respectively.

What is arrangement?

Arrangement of the things or object is mean to make the group of them in a systematic order, in all the possible ways.

The number of possible ways to arrange is n!. Here, n is the number of objects.

Dr. Orchid has 9 paintings she wants to hang side by side on her wall.

(A) Number of ways, she arranges all 9 paintings.

There are total 9 paintings. So the number of arrangement of these painting is,

[tex]9!=9\times8\times7\times6\times5\times4\times3\times2\times1\\9!=362880[/tex]

(B) Number of ways can she choose the paintings she wishes to display-

There are total 9 paintings, in which Dr. Orchid wants to display 4 of the paintings.  Thus, the number of ways can she choose the paintings she wishes to display is,

[tex]^9C_4=\dfrac{9!}{4!(9-4)!}\\^9C_4=\dfrac{9\times8\times7\times6\times5!}{4!5!}\\^9C_4=126[/tex]

Hence, number of ways Dr. Orchid can arrange all 9 paintings and 4 paintings is, 362880 and 126 respectively.

Learn more about the arrangement here;

https://brainly.com/question/6032811

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PLS HELP ME
••Pls show your work pls and thank you••

Answers

[tex]\bold{FULL ANSWERS:}[/tex]

Find the mean 3,4,4,2,5,7,2

Answers

Answer:

pls refer to pic

well I am from India whats the time there now

Julia's car used 1/100 of a gallon to travel 0.25 miles. How many miles can the car go on one gallon of gas? On the double number line below, fill in the given values, then use multiplication to find the missing value. Enter your answers as fractions, whole numbers, or decimals. miles 0 gallons Enter your final answer as a whole number or decimal.​

Answers

Answer:

25 miles

Step-by-step explanation:

well
1/100 = 0.25
10/100 = 2.5 (Because 0.25 x 10)
100/100 = 25 (Because 0.25x100)

A bracelet costs $15. A matching necklace costs 3 times as much as the bracelet.
fcis the cost of the necklace, which equation models the cost of the
necklace and
shows the solution?
$15 = 3= CC= $5
А
B
$15 X 3 = cc = $45
С
$15 + 3 = cc = $18
3 x $15 + $15 = cc = $60
D

Answers

Answer:

B

$15 X 3 = cc = $45

Step-by-step explanation I asked my teacher and it was right

Based on the family the graph below belongs to, which equation could represent the graph ?

Answers

Firstly this looks like translated log function graph

y=logx

log1=0

As per graph the graph is pulled some inwards y axis but little bit

y=log2x

Usually log x leaves y axis at -1 but here it leaves at +2

So

y axis is moved upwards (+3)

Last function

y=log(2x)+3

A gardener uses 20 gallons of water each week on his 8-foot by 10-foot vegetable garden. He plans to enlarge his
garden to 24 feet by 30 feet.
How much water would he expect to use on his new garden? Show all of your work and provide a brief explanation with your answer.

Answers

Answer:

60 gallons

Step-by-step explanation:

so he enlarged it by three so it would be 24by30

because of that, you have to multiply 20g by 3 also

that gives you 60 gallons

Select True or False for each statement.

16.284 rounded to the nearest whole number is 16 feet per second.
?
16.284 rounded to the nearest tenth is 16.3.
?
16.284 rounded to the nearest hundredth is 16.29.
?

HELP ASAP!!

Answers

True
True
False since it would be 16.28

Answer:

True, True, False

Step-by-step explanation:

16.284 to whole is 16

16.284 to tenth is 16.3

16.284 to hundredth is 16.28

Question 6 of 10
15
10
Which function is graphed?
5
-8 6 4 2 0 2
6
8
-5
O A. y.
{x+6,> 3
{-x+6, x83
B. y - {x? +6,x< 3
1-x+6,23
O C. Y-
{x? +6.53
1-x+6, x>3
Tx2 +6.x23
O D. y =
{-x+6, x<3

Answers

Answer:

b

Step-by-step explanation:

The function represented by the graph is

y = { x² + 6 , x < 3

        -x + 6 , x ≥ 3}

What is a function ?

In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

According to the graph

When x < 3 then  y =  + 6

and, at x = 3 we get an open interval.

So, y = x² + 6 is valid for x < 3 not at x =3.

Also , y = -x + 6 is valid for x ≥ 3 and we get a close interval.

Thus, the function represented by the graph is

y = { x² + 6 , x < 3

        -x + 6 , x ≥ 3}

learn more about functions here:

brainly.com/question/23104523

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If you sell 175 shares of Michaels Flowers at $7.28 per share and 445 shares of Nanotech One at $10.80 per share, how much money will you receive, to the nearest dollar?

Answers

Answer:6080$

Step-by-step explanation:I did the same question on my test

It’s 6080$ i did the test.

what is the answer for 10^30 kg

Answers

Answer:

1000000000000000000000000000000 kg / 1E + 30 kg

Step-by-step explanation:

10³⁰ kg

Calculate 10 thirty times,

= (10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10) kg

=1000000000000000000000000000000 kg

= 1E + 30 kg

_____________

Hope it helps ⚜

given:

[tex] {10}^{30} [/tex]

solution:

[tex] {10}^{30} [/tex]

[tex] = 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10[/tex]

[tex] = 100000000000000000000000000000[/tex]

[tex] = 1.0e30 \: kg[/tex]

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