The sum of two numbers is 30 and their difference is 4. Find the numbers​

Answers

Answer 1

Answer:

17 and 13

Step-by-step explanation:

So you can set up an equation:

let x be the greater number

this means that the smaller number would be 4 less than x, because their difference is 4, so x - 4.

The sum is 30, so x + (x - 4) = 30

Then, solve:

x + (x - 4) = 30

x + x - 4 = 30

combine like terms

2x - 4 = 30

add 4 to both sides

2x = 34

divide both sides by 2

x= 17

Now you know the greater number is 17. Since they have a difference of 4, you can do 17 - 4 = 13 to get the smaller number.

The numbers are 17 and 13


Related Questions

The quantity inside a 3-dimensional space is called its

A.volume
B.heaviness
C.length
D.ratio

Answers

Answer:

volume

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

theres no weight refered, no length and ratio i dont know cause im not english but i think its A

solve the equation -30p-2=58 for p.

Answers

Answer:

p=-2

Step-by-step explanation:

1.Combine like terms on both sides.

2.Subtract 6 y 6y 6y on both sides to keep the variable y to the left side only.

3.Add 11 to both sides of the equation.

4.Finally, divide both sides by −10 to get the solution.

1/4=something 8 plz help me

Answers

Answer:

1/4 = 0.25

Step-by-step explanation:

Answer:

2/8

Step-by-step explanation:

i don't know what to put here but 1/4 is = to 2/8

If x is to y as 4 is to 5, then what is y : x?

Answers

Answer:

4:5

Step-by-step explanation:

You are doing ratios

......................help

Answers

Answer:

its 2.4

Step-by-step explanation:

2(2w+8)+2w=96 please help with steps

Answers

Answer:

w=[tex]\frac{40}{3}[/tex]

Step-by-step explanation:

2(2w+8)+2w=96

Distribute the 2.

4w+16+2w=96

Combine like terms.

6w+16=96

Subtract 16

6w=80

Divide 80 by 6.

w= 13.333333 or [tex]\frac{40}{3}[/tex]

The straight line L1 passes through the points with coordinates (6, 5) and (10, 3)
The straight line L2 passes through the origin and has gradient -3
The lines L1 and L2 intersect at point P
Find the coordinates of P.

Answers

Answer:

The coordinates of point p are:

x = -3.2

y = 9.6

Step-by-step explanation:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Then if we know that L1 passes through the points (6, 5) and (10, 3) the slope of this line will be:

a = (3 - 5)/(10 - 6) = -0.5

Then this line will be something like:

y = -0.5*x + b

To find the value of b we can just replace the values of one of the points in the above equation. For example if we use the point (6, 5), this means that:

x = 6

y = 5

Then we get:

5 = -0.5*6 + b

5 = -3 + b

5 + 3 = b

8 = b

Then the equation for line L1 is:

y = -0.5*x + 8

Now, for line L2 we know that it has a gradient -3 (for linear equations, the gradient is the same as the slope)

Then line L2 has a slope equal to -3

y = -3*x + b

And we know that this line passes through the origin, (0, 0)

Then if we replace the values of that point in our equation, we get:

0 = -3*0 + b

0 = b

Then line L2 is:

y = -3*x

Then our two lines are:

y = -0.5*x + 8

y = -3*x

Now we want to find the point where these lines intersect. The lines will intersect in one point that belongs to both lines, then we can use the relation:

-0.5*x + 8 = y = -3*x

-0.5*x + 8 = -3*x

now we can solve this for x.

-0.5*x + 8 = -3*x

8 = -3*x + 0.5*x

8 = -2.5*x

8/-2.5 = x = -3.2

Now we need to evaluate one of the lines on this value, i will use line L2

y = -3*(-3.2) = 9.6

Then we can conclude that the lines do intersect in the point:

x = -3.2

y = 9.6

this point is written as: (-3.2, 9.6)

5x - 7
3x + 1
11x – 4
❤️13 each❤️✌pls and ty

Answers

here you go i think this is what you asked for

in the diagram below, de is parallel to xy. what is the value of y​

Answers

The answer to your problem is D:86

Armando deposits $3,827 into a bank account paying 2.8% interest,
compounded monthly (12 times per year). How much money will he have in
his bank account after 16 years? PLEASE HELP!!

Answers

Answer:

$745,460.8

Step-by-step explanation:

2.8/100 × 3827 = $107.16

monthly = 1/12

[tex]p = \frac{100 \times i}{rt} = \frac{100 \times 107.16}{2.8 \times \frac{1}{12} } = \frac{10716}{0.23} \\ = 46591.3[/tex]

$46,591.3 in 1year

16 years; $46,591.3 × 16 = $745,460.8

Everything we see and touch is made of ______.

Answers

Answer:

chemicals

Step-by-step explanation: everything we see and touch is made up of a mixture of chemicals

Please help me with this homework

Answers

Answer:

See screenshot below

Step-by-step explanation:

Yes Bus Column:

We need to find an answer for the "no taxi" section. And we have the total and the "yes taxi" section. So, the "yes taxi" section + the "no taxi" section gives you the total. Another way of saying this is total - "yes taxi"  = "no taxi"125 - 30 = 95

No Bus Column:

We need to find the total of the "yes taxi" section and the "no taxi" section. So, if we add those two sections together, we'll get the total90 + 185 = 275

Total column:

So, this column is really simple to fill out. All we're doing it adding our answers above to get one answer in each section."Yes Taxi" section: 30 + 90 = 120"No Taxi" section: 280Total section: 125 + 275 = 400We could have also done the total section by adding together 120 and 280, but we would get the same answer, anyway.

I hope this helps!

Bruce flipped a penny 5 times. It landed on heads 2 times and tails 3 times. If he flips the coin a 6th time, what statement is true?
A. It is more likely to be heads.
BIt is equally likely to be heads or tails.
C. It is more likely to be tails.
D. It in not likely to be tails.

Answers

Answer:

B

Step-by-step explanation:

I would say B because they're only 2 options head and tails.

✩brainliest appreciated ✩

Pls help find x in both

Answers

Answer:

Step-by-step explanation:

In similar triangles, corresponding sides are in same ratio

[tex]\frac{28}{24} = \frac{3x-9}{x +8}\\\\\frac{7}{6}=\frac{3x-9}{x+8}\\[/tex]

Cross multiply,

7*(x + 8) = 6*(3x -9 )

7x + 7*8 = 6*3x - 6*9

7x +  56   = 18x - 54

          56 = 18x - 7x -54

          56 = 11x - 54

         11x - 54 = 56

               11x  = 56 +54

                11x = 110

               x = 110 /11

x = 10

PR = 3x -9

     = 30 - 9

PR = 21

The first three terms of a sequence are given. Round to the nearest thousand (if necessary). 9, 18, 36 Find the 6th term.

Answers

9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108
The 6th term is 108

Help guys I really need it​

Answers

Answer:

yes it does

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

The ratio of Ali's to Beth's score is 5:3. Ali
scored 10 more marks than Beth. Clare scored
7 more than Ali. Find the score of all three.

Answers

Answer:

Ali 25

Beth 15

Clare 32

Step-by-step explanation:

Here, we want to get the score of the three

let Ali’s score be x

He scored 10

more than Beth; Beth score will be x-10

Let us now work with the ratio

x/x-10 = 5/3

3x = 5(x-10)

3x = 5x - 50

5x-3x = 50

2x = 50

x =

50/2

x = 25

Beth will

score 25-10 = 15

score had 7 more than Ali,

25 + 7 = 32

In a fifth-grade class, 3/4 of the students like to go to the movies. Of the students who like to go to the movies, 2/3 of them like action movies. What fraction of the students in the class like to go to action movies

Answers

Answer:

1/2 of the class

give brainliest if it helps

Alice baked 88 cookies with 11 scoops of flour. With 12 scoops of flour, how many cookies
can Alice bake? Solve using unit rates.

Answers

Then Alice has a lot of spare time and I need points !!
88/11=8

8*12=96

ANSWER 96 cookies

Cuanto da la siguiente operación matemática : 5√225 ?

Answers

the answer is 75 .....

Answer:

75

Step-by-step explanation:

There are 16 boys, and 14 girls in Mr. Smith's homeroom. If two students are absent, what is
the probability that both absent students are boys?

Answers

Answer:

2/16

simplest form:1/8

Step-by-step explanation:

2/16

simplest form:1/8

There are 16 boys in all so 16 will be your denominator and there are to boys absent so your numerator

2/16

Then simplify by dividing 2/2

1/8

3x + 7 + -X - 13
plz help

Answers

Hope this helps and if it doesn’t I’m sry

Answer:

3x+7-x-13

3x-6-x

=2x

pls mark brilliance if im right

2x - 2 = x-5
I’ll give 35 points plz help

Answers

Answer:

x = -3

Step-by-step explanation:

2x-x=-5+2

x = -3

three to the fifth power
answer please​

Answers

Answer:

243

Step-by-step explanation:

Answer:

243

Step-by-step explanation:

Hi! need help asap xx

Answers

Answer:

C

Step-by-step explanation:

The 3 triangles are all similar.

Using the 2 inside then the ratios of corresponding sides are equal, that is

[tex]\frac{x}{3}[/tex] = [tex]\frac{12}{x}[/tex] ( cross- multiply )

x² = 36 ( take the square root of both sides )

x = [tex]\sqrt{36}[/tex] = 6 → C

Answer:

C) x = 6

because this is a right triangle

=> we have:

(12² + x²)(3² + x²) = (15x)²

<=> 1296 + 153x² + x⁴ = 225x²

<=> x⁴ - 72x² + 1296 = 0

<=> (x² - 36)² = 0

<=> x² = 36

=> x = 6

1. It's either B or D

Write a function rule that gives the total cost c(p) of p pounds of sugar if each pound costs $0.42.


A. c(p) = p + 0.42

B. c(p) = 42p

C. c(p) = p/0.42

D. c(p) = 0.42p

Answers

Answer:

D. c(p) = 0.42p

Step-by-step explanation:

total cost = .42(P)

Example: 5 lbs

$2.10 = $.42(5)

c(p) = 0.42p <== ur function

Since a pound of sugar increases proportionally to the total cost of sugar bought, then the function can be written as:

c(p) = 0.42p

Where: c(p) = total cost of sugar bought

p = pounds of sugar

c(p) is a function of p, because c(p) depends on p.

Answer: The function rule that gives the total cost is given by

Step-by-step explanation:

Let the number of pounds of sugar be 'p'.

Let the total cost would be C(p).

Cost of each pound = $0.42

So, the function rule would be

Hence, the function rule that gives the total cost is given by

Hey can anybody help with this question please

Answers

A and B are proportional.

Find the y-intercept of the line on the graph.
Enter the correct answer

HELP PLEASE!!! i’ll give brianliest

Answers

Just figure it out lol

Answer:

(0,4)

Step-by-step explanation:The y intercept is where the line passes through the y-axis.

PLEASE HELP ME I WILL MARK RBAINLIEST I SWEAR

Answers

Answer:

160=b  

      14

b: 2240

Answer:

b= 2240

Step-by-step explanation:

Multiply all terms by the same value to eliminate fraction denominators

then you simplify

hope this helps!

Find the slope of the line that passes through K(-4,4), L(5,4)

Answers

Answer:

The slope is 0, or it is a zero slope.

Step-by-step explanation:

The y coordinate is 4 throughout, and if it were the x coordinate that stayed the same for both points, it would be a undefined slope.

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