a number is 2/3 of another number. if the sum of the two numbers is 30, find the smaller number.

Answers

Answer 1

Answer: The numbers are 4 and 6.

Step-by-step explanation:

Let one number be represented as

x

and the other as

y

.

According to the problem:

x

=

2

3

y

and

x

+

y

=

10

From the second equation we get:

x

+

y

=

10

y

=

10

x

(subtracting

x

from both sides)

Replacing the value of

y

in the first equation we get:

x

=

2

3

y

x

=

2

3

(

10

x

)

Multiplying both sides by

3

we get:

3

x

=

2

(

10

x

)

Opening the brackets and simplifying we get:

3

x

=

20

2

x

Add

2

x

to both sides.

5

x

=

20

Divide both sides by

5

.

x

=

4

Since from the second equation we have:

x

+

y

=

10

substituting

x

with

4

we get:

4

+

y

=

10

Subtract

4

from both sides.

y

=

6

Answer 2

Answer: The smaller number is 12.

Step-by-step explanation:

Just took the test


Related Questions

please help! one easy khan question <3

Answers

Answer:

It's the B

[tex] \sqrt{29} [/tex]

Step-by-step explanation:

[tex]d = \sqrt {(2 - 4)^2 + (2 - 7)^2}[/tex]

[tex]d = \sqrt {(-2)^2 + (-5)^2}[/tex]

[tex]d = \sqrt {4 + 25}[/tex]

[tex]d = \sqrt 29[/tex]

Hope this helps, have a good day

The distribution of height of adult american women is approximately normal with a mean of 65.5 inches and a standard deviation of 2.5 inches what percentage of women are taller than 70.5 inches?

Answers

Answer:

2.275%

Step-by-step explanation:

We start by calculating the z-score

Mathematically;

z-score = (x-mean)SD

here, x = 70.5

mean = 65.5

SD = 2.5

Substituting these values;

z = (70.5-65.5)/2.5

= 5/2.5 = 2

So we want to calculate the probability that;

P( z> 2)

We check the standard normal distribution table for this

That will be

0.02275

In percentage, this is 2.275 %

is 2.63 a rational number?
Thats it. Thats the question

Answers

i don’t think so ......... yeah i’m pretty sure it’s not

is 2.63 a rational number?

Thats it. Thats the question

no 2.63 is not

can you guys help me please the things are
A
B
or C

Answers

Answer:

I don't really know about this sorry sorry

Answer:

✨ B

Step-by-step explanation:

✨Hope this helps✨

Joe surveyed 128 students at his school. In the survey, he asked students what type of sibling they had: brother, sister, both, or neither. His data is in the Venn diagram below.

Answers

Answer: 128 - 48 equals 80. 80 - 35 equals 45. That means the answer is 45.

Step-by-step explanation:

A ladder leans against the side of a house. The angle of elevation of the ladder is 70 when the bottom of the ladder is 16ft from the side of the house. Find the length of the ladder. Round your answer to the nearest tenth.

Answers

46.78

Step-by-step explanation:

you divide 16 by the cos of 70 and it turns out to be 46.78

What is the circumference?
16 yd

Answers

Answer:

16 yd

Step-by-step explanation:

I will assume 16 yards is the diameter, meaning 8 is the radius.

Circumference is 2πr, or the diameter itself. So, the circumference is 16.

I'm still not sure what measure 16 yd is, or what circumference of a shape you're looking for. Reply to my answer and I'll fix it.

It would be 6.283

Hopefully this will help you

please help me like i really don't understand this and i really need help​

Answers

Answer:

Therefore, the coordinates of the vertices of ΔA'B'C' after the dilation with a scale factor of 2.5.

A'(-5, -2.5)B'(2.5, 5)C'(5, -10)

Step-by-step explanation:

Given the vertices of ΔABC

A(-2, -1)B(1, 2)C(2, -4)

Given that ΔA'B'C' is a dilation of ΔABC with a scale factor of 2.5 and the center of dilation (0, 0).

We know that when the scale factor > 1, then the image is enlarged.

The formula to determine the dilation with a scale factor of 2.5.

P(x, y) → P'(2.5x, 2.5y)

Here, P' is the image of P, and the vertices of the image is dilated by a scale factor of 2.5.

In other words, the vertices of the image can be obtained by multiplying the vertices of the original triangle with 2.5.

Thus,

P(x, y) → P'(2.5x, 2.5y)

A(-2, -1) → P'(2.5(-2), 2.5(-1)) = A'(-5, -2.5)

B(1, 2) → B'(2.5(1), 2.5(2)) = B'(2.5, 5)

C(2, -4) → C'(2.5(2), 2.5(-4)) = C'(5, -10)

Therefore, the coordinates of the vertices of ΔA'B'C' after the dilation with a scale factor of 2.5.

A'(-5, -2.5)B'(2.5, 5)C'(5, -10)

Luis has $660 in his savings account earning 4 1/2 % interest. How much interest will he earn in 2 years? How much money will be in the account?

Answers

Answer: $59.40 of interest in 2 years, $719.40 in total

Step-by-step explanation:

If you would divide $660 by $100 then 1% of that amount would be $6.60.  Assuming it is 4.5% from your question, if you would multiply the amount above then Luis would get $29.70 per year.  Also assuming that his savings account isn't changed over time, you would multiply 2 to get $59.40 which is the total amount of interest money earned in 2 years.  Add that amount to $660 and you would get $719.40 as the second part of the answer.

There are 599 children at Troy's school. There are 206 children
at Nada's school. About how many more children go to Troy's
school than to Nada's school?
400 children
B
250 children
500 children
800 children
Hurrry pls

Answers

The answer is 400 children lol

Answer:

About 400 more children attend Troy’s school than Nada’s school.

hurry please in test rn!!

Answers

answer y=2x+3

explanation
y=mx+b

1. What is the measure of angle 4?
2. What is the measure of angle 1?
3. What the measure of angle 3?
4. What is the measure of angle 6?
5. What is the relationship between angles 4 and 5?

Answers

Answer:

d

Step-by-step explanation:

is answer sd

The equation of the blue line is y=-x+5. Manipulate
the orange line by setting the sliders so its slope, m, is
-1 and its y-intercept, b, is-3.
Does the system appear to have a solution after the
changes?
Yes. The lines intersect at one point.
Yes. The lines intersect at many points.
No. The lines do not seem to intersect.

Answers

Answer:

No. The lines do not seem to intersect.

Step-by-step explanation:

When you move both of the sliders over, you will see they do not intersect. Also I got it right on edge. Hope this helps :)

Answer:

The equation of the blue line is y = –x + 5. Manipulate the orange line by setting the sliders so its slope, m, is –1 and its y-intercept, b, is –3.

Does the system appear to have a solution after the changes?

✔ No. The lines do not seem to intersect.

please help first will be brainliest

Answers

Answer:

Just multiply or divide the numbers they give you try both

Step-by-step explanation:

Make the expression a perfect square u^2 + 10u + 

Answers

Answer:

Take the coefficient of "u"

10

divide it by 2

5

square it

25

So, a perfect square would be

u^2 + 10u +25

which would be

(u +5)^2

Step-by-step explanation:

PLEASE HELP !!

221-w=272

What is w??

Answers

Answer: W= -51

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

-51

Step-by-step explanation:

2 minuses equal plus

write a rational number which has no reciprocal or multiplicative inverse.​

Answers

Answer:

0.

Step-by-step explanation:

0 is the only number that has no reciprocal or multiplicative inverse.

A reciprocal / multiplicative inverse of a number means a number that when multiplied by the original number will equate to 1.

However, no matter what you multiply with 0, it will never be 1.

Hence, the answer is 0.

Hope this helped!

Paint costs $19.95 per gallon. Nicole needs 1.25 gallons to complete a painting project

Answers

Answer:

$25.00

Step-by-step explanation:

Set up a proportion: [tex]\frac{19.95}{1} = \frac{x}{1.25}[/tex]  Cross multiply, then divide: 19.95 × 1.25 = 24.9375, 24.9375 ÷ 1 = $24.9375Round your answer: $24.9375 → $25.00

I hope this helps!

The price of a smartphone increased from $25 to $40. Find the percent
increase

Answers

Answer:60% increase

Source:trust me bro

Answer:

= 60% increase

Step-by-step explanation:

how many solution does following equtitions have 7x+21=21

Answers

One solution.

[tex]7x + 21 = 21 \\ 7x = 21 - 21 \\ 7x = 0 \\ x = 0[/tex]

If we can solve for the value of x. Then the solution would be one only for system of linear equations.

For your information, When the equation is true or rather say that both sides are the same, the solution will be infinite.

When the equation is false or rather say that both sides have different number or value then there won't be any solutions.

Please help me thankso

Answers

Answer:

68, 17, $17

Step-by-step explanation:

filling in the first blank using the chart. Money made for 4 sweatshirts is $68

68/4=17, this is the unit price, meaning the amount it would cost for one sweatshirt. Thats where we get the next blank's answer. 17/1 and since we found the unit price, we already answered the last question, $17 per sweatshirt.

Olivia filled 6 baskets of strawberries. Later she combined the fruit evenly into 3 larger boxes. if all 3 boxes sold for $42, how much money did each box of strawberries cost?

Answers

Answer:

21

Step-by-step explanation:

becuase that's the answer lol

Mr.Jamison will stain th deck

Answers

Answer:

yes???

Step-by-step explanation:

I don’t think so .....:(

QUICKKK PLEASE HELP!!!! Q:43c +10d=?????

Answers

Answer:

53d

Step-by-step explanation:

Dominica has a total of 22 coins in her pocket, all of
them are nickels and dimes. If the value of the coins
is $1.50, then how many nickels does Dominica
have?

Answers

Answer:

So there are 14 nickels (worth a total of 70 cents) and 8 dimes (worth a total of 80 cents)

Step-by-step explanation:

Answer:

she has 2 nickels

Step-by-step explanation:

dimes=10 cents

nickels=5 cents

10x14=140

1.40

5x2=10

1.40+10=1.50

g(x)=−x−2, find g(1)

Answers

Answer:

g(1) = -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

g(x) = -x - 2

g(1) is x = 1

Step 2: Evaluate

Substitute in x:                    g(1) = -1 - 2Subtract:                              g(1) = -3

People use water to​ cook, clean, and drink every day. An estimate of 17.2% of the water used each day is for cooking . If a family uses 68.8 gallons of water a day for cooking​, how many gallons do they use every​ day?

Answers

Ummmmmmm try using those things that help ppl with math

Sandy works at a clothing store.She makes $8 per hour plus 10% commission on her sales.She worked 79 hours over the last two weeks and had a total of 2,414 in sales before taxes.which of the following is closest to what she will earn?
$305
$241
$873
$632

Answers

873 for sure 2,414x10%=241 + 8x79=632 =873

6.8 * 10(2)
*keep in note that "2" is an exponent in this question*

Answers

Answer:

68

Step-by-step explanation:

6.8 × [tex]10^2[/tex]

= 68

Terry flips a coin 150 times.Make a prediction that the coin will come up tales

A Exactly 300
B Close to but not exactly 300
C Exactly 75
D Close to but not exactly 75

Answers

Answer:

its either C or D

Step-by-step explanation:

there are 2 possible outcomes for getting either heads or tails so if we divided 150 by 2 we get 75, so about 75 times you could get tails.

so maybe it is D, but im not sure

I think the answer is D

Because when you divide 150 by 2= 75
You divide by two because it’s either heads or tails.
It wouldn’t be exactly 75 either because it’s just a game of chance.

Hoped this helped!
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