A number is divided into two parts, such that one part is 10 more than the other. If the two parts are in the ratio 5:3 find the number and the two parts.

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

Given the above information, we can make the first part to be;

First part = y + 10

Then,

Second part = y

y + 10 : y = 5 : 3

(y + 10) / y = (5) / (3)

Cross multiply,

3y + 30 = 5y

Collect like terms

5y - 3y = 30

2y = 30

y = 15

Therefore, substituting the value of y,

First part = y + 10

First part = 15 + 10

First part = 25

Second part = y

Second part = 15

Number = First part + Second part

Number = 25 + 15

Number = 40


Related Questions

angle A and angle B are complementary angles. If m angle A = (x-16)degrees and m angle B = (3x+28)degrees, then find the measure of angle A

Answers

Answer:

[tex]4x \times 448[/tex]

Step-by-step explanation:

A=

[tex]a = (x - 16)[/tex]

[tex]b = (3x + 28)[/tex]

So you add :

[tex]x \: and3x[/tex]

To get

[tex]4x[/tex]

Then you do :

[tex]16 \times 28[/tex]

To get :

[tex]448[/tex]

Answer is :

[tex]4x \times 448[/tex]

why is 2(x+9) + 4x an expression and not an equation?​

Answers

Answer:

because an expersion is A variable can be a letter or another symbol that stands for an unknown in an equation or expression.

Step-by-ste  p explanation:

Can someone help me with this question please

Answers

Answer:

c

Step-by-step explanation:

Find the area of the figure.

Answers

Answer:

        25    

Step-by-step explanation:

[tex]A=6\cdot7-\frac12\cdot4\cdot4-2\cdot(\frac12\cdot3\cdot3)=42-8-9=25[/tex]

ASAP ILL GOVE 10 POINTS
Ashwin has equal numbers of classical songs and pop
songs loaded on his personal music player. He has it set to
play songs on a random shuffle. Suppose Ashwin is
designing a simulation that could be used to estimate the
probability that the next three songs to play are all pop
songs
Which simulation design could Ashwin use to estimate the probability?
A Number cube
Let 1 = classical
Let 2 = pop
Ro
be three times. Repeat
B. Number cube
Let even number = classical
Let odd number = pop
Rollcube three times. Repeat
C. Random digits
Let 1. 2. 3 classical
Let 4, 5,0 = pop
Select three random digits. Repeat
D. Random digits
Let 1, 2, 3, 4,5 = classical
Let 6, 7, 8, 9 pop

Answers

Answer:

B

Step-by-step explanation:

Took the test on AP3X

Answer:

B. Number cube

Let even number = classical

Let odd number = pop

Rollcube three times. Repeat

Step-by-step explanation:

Test approved

Graph the circle x2 + y2 – 2x – 80 = 0

Answers

x2+y2−2x−80=0

Write the problem as a mathematical expression.x2+y2−2x−80=0

Add  80 to both sides of the equation. x2+y2−2x= 80 Complete the square for x2− 2x. Tap for more steps...(x−1)2−1 Substitute  (x−1)2−1 for x−2x in the equation  x2+y2−2x =80 .(x−1)2−1+y2=80 Move −1 to the right side of the equation by adding  1 to both sides.(x−1)2+y2=80+1Add 80 and 1.(x−1)2+y2=81

This is the form of a circle. Use this form to determine the center and radius of the circle.(x−h)2+(y−k)2=2Match the values in this circle to those of the standard form. The variable r represents the radius of the circle, h represents the x-offset from the origin, and  k represents the y-offset from origin.r=9h=1k=0 The center of the circle is found at (h,k). Center: (1,0)These values represent the important values for graphing and analyzing a circle. Center: (1,0)Radius:  9

find the value of x, y, and z

Answers

Answer:

B

Step-by-step explanation:

The diagonals of a rhombus are at right angles to each other, then

∠ 1 = ∠ 2 = ∠ 3 = 90° so

10x = 90 ( divide both sides by 10 )

x = 9

x + y = 90

9 + y = 90 ( subtract 9 from both sides )

y = 81

9z = 90 ( divide both sides by 9 )

z = 10

if 5 men can finish a piece of work in 10 days, how many men can finish the same work in a day?​

Answers

Answer:

50.

Step-by-step explanation:

I hope that this helped!!!

Otis is cutting a long piece of wood trim into smaller pieces for an art project. The line plot shows the length of the smaller pieces of wood.

Answers

I really don know but ill go with 6

Calculate the area of the shape.

Answers

Answer:

295 ft is the area of this shape

HELP ME NOW I NEED HELP

Answers

Zeros:

x = -11

x = 11

Positive zero: 11




Based on the data plotted, choose all that are correct.


A good line of best fit for the data is y = 15x + 55.

The data on the scatter plot shows a negative relationship.

If a student studies for 6 hours, they will receive a grade of about 100.

In general, the longer time spent studying, the higher the student's grade.

Answers

Answer:

- If a student studies for 6 hours, they will receive a grade of about 100.

- In general, the longer time spent studying, the higher the student's grade.

Step-by-step explanation:

Given

See attachment for plot

Required

Select all correct options

First, we determine the equation of best fit.

Pick two corresponding points on the plot

[tex](x_1,y_1) = (2,70)[/tex]

[tex](x_2,y_2) = (4,85)[/tex]

Calculate slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

[tex]m = \frac{85 - 70}{4-2}[/tex]

[tex]m = \frac{15}{2}[/tex]

[tex]m = 7.5[/tex]

The equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = 7.5(x - 2) + 70[/tex]

[tex]y = 7.5x - 15 + 70[/tex]

[tex]y = 7.5x +55[/tex]

The above represents the line of best fit.

By comparison, (a) is incorrect

We calculate the slope to be:

[tex]m = 7.5[/tex]

Since the slope is positive, then the relationship is positive (b is incorrect)

Also, the positive slope implies that, as x increases, y also increase.

Hence, (d) is correct.

For (c), we substitute 6 for x in the calculated equation of best fit

[tex]y = 7.5x +55[/tex]

[tex]y = 7.5 * 6 + 55[/tex]

[tex]y = 45 + 55[/tex]

[tex]y = 100[/tex]

This shows that (c) is true because 6 hours of study gives a grade of 100

Circle has equation x^2+y^2=36
Radius=6
Centre=(0,0)
The distinct point A(a,root11) and B (b,root11) lie on the circumference of the circle. Work out the length AB

Answers

Answer: AB = 10.2

Explanation:

A(5.1, root11)
B(-5.1, root11)

AB = |5.1| + |-5.1| = 5.1 + 5.1 = 10.2

The scale factor of two similar hexagons is 5:12. The smaller hexagon has an area of 24 square units. What is the area of the larger hexagon?

Answers

Answer: [tex]138.24\ \text{square units}[/tex]

Step-by-step explanation:

Given

The scale factor of two similar hexagons is 5:12.

The smaller hexagon has an area of 24 square units

we know, the ratio of two similar figures is equal to the square of the scale factor.

Suppose the area of the larger hexagon is A

[tex]\therefore \dfrac{24}{A}=\left[\dfrac{5}{12}\right]^2\\\\\Rightarrow A=\left[\dfrac{12}{5}\right]^2\times 24\\\\\Rightarrow A=138.24\ \text{square units}[/tex]

Please help and give an explanation on how to find the value of x

Answers

Answer:

x = 30

2x =60

Step-by-step explanation:

the angle is a right angle- so that means it’s a 90 degree angle

so let’s set up an equation..

We get 90 degrees when we add 2x Plus x

So 2x + x = 90

then, 3x = 90

x= 30

you Can check your Answer by:

Do 2 times 30 = 60

and then 60+ 30

you will Get 90

Adult tickets to the aquarium cost $16
each. If the aquarium marks the ticket
price up 20%, how much will a group of
5 eduils pay for tickets?

Answers

Answer:

96 dollars

Step-by-step explanation:

multiply 16 by 20% and get 3.2 so u add that with 16 and then multiply that by 5

Mr chow is buying rolls of paper for the school. This is a lost of the suppliers, the size of their rolls, and their cost per roll. supplier x sells 25 meter rolls for 18.98, supplier y sells 30 meter rolls for 21.89, supplier z sells 40 meter rolls for 29.59 to the nearest cent what is the cost per meter for a roll of paper from the least expensive supplier

Answers

Answer:

0.73

Step-by-step explanation:

cost per meter for a roll of paper = total cost / total meter of rolls sold

Supplier x = 18.98 / 25 = 0.76

Supplier y = 21.89 / 30 = 0.73

supplier z = 29.59 / 40 = 0.74

the lowest per unit cost is 0.73

Please help i dont know which one​

Answers

Answer:

A. 72π m^3

Step-by-step explanation:

The radius of the cone would be half the diameter, or 6m.

The formula for the volume of a cone is:

V= (πr^2h) / 3

We can substitute what we have:

V = (π * (6)^2 * 6 )/ 3

V = (216 π) / 3

V = 72π m^3

a box contains 44table tennis balls having same shape and size.Among them 33 are black and remaining balls are red .two balls are drawn randomly one after another without replacement show the probability of all posible outcomes in a tree diagram.

Answers

Answer:

The probability that both balls are red is 5.81%, that one is red and one black is 38.36%, and that both are black 55.81%.

Step-by-step explanation:

Given that a box contains 44 table tennis balls having the same shape and size, and among them 33 are black and remaining balls are red, if two balls are drawn randomly one after another without replacement, to show the probability of all possible outcomes the following calculations must be done:

Red + red:

11/44 + 10/43 = 0.25 x 0.2325 = 0.0581

Red + black:

11/44 + 33/43 = 0.25 x 0.7674 = 0.1918

Black + red:

33/44 + 11/43 = 0.75 x 0.2558 = 0.1918

Black + black:

33/44 + 32/43 = 0.75 x 0.7441 = 0.5581

19.18 x 2 = 38.36

Therefore, the probability that both balls are red is 5.81%, that one is red and one black is 38.36%, and that both are black 55.81%.

A set of data with 750 numbers is normally
distributed with a mean of 36 and a standard
deviation of 2. How many numbers in the
data would you expect to be between 34 and
38?

Answers

Answer:

510

Step-by-step explanation:

(0.68)750

shift decimal places

510.00

refine:510

This histogram represents a sampling of recent visitors to the mall on a Friday night, grouped by their ages.




In which interval is the median located?


40-49

30-39

20-29

10-19

Answers

Answer:

20 - 29

Step-by-step explanation:

Please find the complete question in the attached image

An histogram is a bar-like graph used to represent numerical data. On the y-axis is the frequency of the data and on the x-axis is the data

median is a measure of central tendency. It measures the middle number in a set of observation

there are 20 observations (visitors),

1, 2, 3,5,6, 7, 8, 9,| 10, 11, | 12,13,14,15,16,17,18,19,20

the median is 10 and 11 or 10.50

there are 9 numbers on either sides of 10 and 11

the 10th and 11th visitor would be found in the age group 20 - 29

HEY CAN ANYONE PLS ANSWER DIS!!

Answers

Answer:

Option C

Step-by-step explanation:

Use the property to convert each expression from exponent form to radical form.

[tex](a)^{\frac{1}{n}}=\sqrt[n]{a}[/tex]

a). [tex](b)^{\frac{4}{5}}=(b^4)^\frac{4}{5}[/tex]

           [tex]=\sqrt[5]{b^4}[/tex]

b). [tex](8x)^\frac{2}{3}=[(8x)^2]^\frac{1}{3}[/tex]

              [tex]=[64x^2]^\frac{1}{3}[/tex]

              [tex]=[(4)^3x^2]^\frac{1}{3}[/tex]

              [tex]=(4^3)^\frac{1}{3}(x^2)^\frac{1}{3}[/tex]

              [tex]=4(x^2)^\frac{1}{3}[/tex]

              [tex]=4\sqrt[3]{x^2}[/tex]

Therefore, Option C will be the answer.

Guys help me pleaseeee

Answers

Sure,I do not agree because the answer is -20>-27

Which of the following is a true biconditional statement?
A. An athlete wears a hat if and only if the athlete is on a baseball
team.
B. A person practices yoga if and only the person is relaxed.
C. I wear my raincoat if and only if it is raining.
D. I walk one mile to the store if and only if the store is 5280 feet
away
SUBMIT

Answers

I think the answer is D

Isabel has a basket of fruit with 3 apples, 6 bananas, 5 oranges, 4 pears, and 2 peaches. She wants to share the fruit with 4 of her friends. How many pieces of fruit will each person get?

Answers

Answer:

15/182

Step-by-step explanation:

the 1st one is 5/14 and the 2nd one is 3/13

5/14*3/13 = 15/182

Which of the following equations can be used to find the missing angle, x, in the triangle below?

Answers

Answer:

x+84=180

Step-by-step explanation:

a triangle has a total angle degrees of 180

Answer:

x + 84 = 180

Step-by-step explanation:

The sum of all the interior angles of a triangle is 180. So basically, x plus the other two angles would have to equal 180.

pls help with this simple question

Answers

Answer:

F. 625

Step-by-step explanation:

625 times 2

= 1256

round it to

= 1250

Hope this Helps

Have a nice day

I need help! would appreciate it

Answers

Answer:

X is about 58.41 degrees

Step-by-step explanation:

For this problem, lets use sine, since we have the opposite angle from x and we have the hypotenuse.

Therefore, with the equation for sine, we would get

sin(x) = 23/27

sin(x) = 0.851

Now, since we're solving for an angle, inverse it by adding a -1 to move over the sin.

x = sin-1 23/27

Last, use a calculator to get the answer.

X is about 58.41 degrees

Which set of ordered pairs represents y as a function of x?
O {(-4, 0),(-2,2).(-4,-2), (-2, 4),(-4, - 4)}
{(0,4), (1,7),(1,10), (2, 13), (3, 16)}
{(3, 1), (3, 2), (3, 3), (3, 4), (3,5)}
{(3, 3), (-1,-1),(-2,-2), (4,4),(-4,-4)}
I need the answer ASAP!!!

Answers

I think it is the 4th one :)
should be the third one

Circle A has center of (4, 6) and a radius of 5, and circle B has a center of (1, 0) and a radius of 15. What steps will help show that circle A is similar to circle B? (5 points) Group of answer choices Reflect circle A over the y-axis. Dilate circle A by a scale factor of 3. Translate circle A using the rule (x − 3, y + 6). Rotate circle A 180° about the center.

Answers

Answer:

Divide and then multiply the smaller ratio to get an equal ratio to the first one

Step-by-step explanation:

It helps a lot with algebra

Answer:

 Dilate circle A by a scale factor of 3. 

Step-by-step explanation:

In order to show if two triangles are similar you have to translate and dialate one of the triangles to compare it to the other one. So A and D are not it. The formula for C is incorrect so therefore the answer is B. Also i took the test :D

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