The sum of two numbers is 55. The smaller number is 15 less than the larger number. What are the numbers?


Answers

Answer 1

Answer:

a=35

b=20

Step-by-step explanation:

a+b =55

a=b+15

b+15 +b =55

2b=55 - 15

2b=40

b=40 :2

b=20 (the smallest number)

a=20 +15 =35 (the largest number)

Answer 2

Step-by-step explanation:

55=x+15

-15     -15

40=x

Hope it helps!


Related Questions

1. Translate: A number divided into 4 2. Translate: The sum of 2/3 and a number 3. Translate: Drew is "n" years younger than Joe who is 9 years old

Answers

Answer:

1. x/4

2. 2/3+x

3. 9-n

Step-by-step explanation:

1. "A number" is an unknown value, so we set that as the variable. When a number is being divided, it's the divisor in a division problem (the first number)

2. The "sum" is the answer to an addition problem (like how the "quotient" is the answer to a division problem), which is why we know to add. Again, "a number" is the unknown value so we set that as the variable.

3. Because Drew is "n" years younger than Joe, Joe's age - n = Drew's age. The question tells us that Joe is 9 years old, so the expression would be 9-n.

I hope this helps! If it does, a brainliest would be much appreciated :)

Are all fractions integers?

Answers

Answer:

No

Step-by-step explanation:

Fractions and decimals are not integers. Any and all whole numbers like 1, 2, 3... Or even negative numbers like -1, -2, -3 etc. are all integers. However any fractions, decimals, etc. are NOT integers.

Hope this helps and have a nice day!

Answer:

no

Step-by-step explanation: no fractions are integers bc the are not orginally positive or negative but u can put them on a number line

put the following equation of a line into slope intercept form ,simplifying all fractions.
12x-4y = -12

Answers

root: (-1, 0)
vertical intercept: (0, 3)

which is a better estimate for 682,000: 6 x 10^5 or 7 x 10^6

Answers

Answer:

6 x 10^5

Step-by-step explanation:

7 x 10^6 is 7,000,000 and 6 x 10^5 is 600,000. The one that is closer is 6 x 10^5

What is the midpoint of M(6,-1) and S(9,5)

Answers

Answer:

MP= (7.5,2) or another way of it [tex]MP= (\frac{15}{2},2 )[/tex]

Step-by-step explanation:

Midpoint formula: [tex]MP= (\frac{x_1+x_2}{2}),(\frac{y_1+y_2}{2} )[/tex]

[tex]MP= (\frac{6+9}{2}),(\frac{-1+5}{2} )[/tex] 6+9=15  -1+5=4

[tex]MP= (\frac{15}{2}),(\frac{4}{2} )[/tex] 15/2=7.5 4/2=2

[tex]MP= (7.5,2)[/tex]

Evaluate this expression |-9|

Answers

Answer:9

Step-by-step explanation:

The distance between-9 and 0 is 9.

Step-by-step explanation:

|-9| = 9 , since the absolute value of every negative number is a positive number

please help I need help​

Answers

Answer:

its option 3;92667

Step-by-step explanation:

6 and 8 is 68 so 9 2667 its 92667

PLEASE HELP ME I WILL REWARD YOU BRAINLIEST: find the slope of the line through each pair of points [tex](\frac{2}{3} , \frac{4}{7} ) and[/tex][tex](\frac{2}{3} , \frac{11}{7} )[/tex]

Answers

Answer:

The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).

Step-by-step explanation:

i googled it

When 19,346 is divided by a number,the quotient is 841 and the remainder is 3.What is the number? ​

Answers

Answer

Hi mate,

Divided=divisor*quotient+remainder

19346=x*841+3

19346-3=841x

19343/841=x

x=23

Hope this helps u

Mark me as brainliest

Step-by-step explanation:

does someone know the other endpoint ​

Answers

Answer:

(-10,11)

Step-by-step explanation:

x-value:

-4-2=-6

-4-6=-10

y-value:

6-1=5

6+5=11

Answer:

the new end point is (-10,11).

What do you observe about the distances between the three pairs of corresponding vertices for each movement Based on your observations, how would you define a translation? How can you extend what you know about the vertices of a shape to all the points on a shape during a translation? ​

Answers

Answer:

The Observation made about the distances between three pairs of corresponding vertices is that the distance between each translated pair must be equal to the distance between every translated pair . i.e distance between A and A' = distance between B and B' = distance between C and C'  

Step-by-step explanation:

The Observation made about the distances between three pairs of corresponding vertices is that the distance between each translated pair must be equal to the distance between every translated pair . i.e distance between A and A' = distance between B and B' = distance between C and C'  

from this observation Translation is the movement of all vertices of  shapes at a fixed distance along a given co-ordinate, The movement of the vertices of a shape at a fixed distance is just another way of defining the movement of the points of a shape at a fixed distance in relation  to translation

Answer:

Each distance between the three pairs of corresponding vertices is the same. Based on this observation, a translation is a transformation in a coordinate plane that moves the vertices of a shape a fixed distance. In fact, a translation moves all points on a shape a fixed distance.

Step-by-step explanation:

Given: B is the midpoint of segment AC. AB = 3x - 1, BC = x +7
Find: The length of segment AC
22
02
011

Answers

Answer:

hope it helps

plz mark as brainliest

Length of [tex]\boldsymbol{AC}[/tex] is [tex]\boldsymbol{22}[/tex] units.

"To understand the calculation, check below."

Midpoint

The middle point of the a line segment is called the midpoint.

It's really the centroid of both segment and the ends, and it is equidistant from both.

It cuts the portion in half.

[tex]B[/tex] is the midpoint of [tex]

AC[/tex] [tex]\boldsymbol{AB=BC}[/tex][tex]3x-1=x+7[/tex] [tex]2x

AC=8[/tex] [tex]\boldsymbol{x=4}[/tex]

So,[tex]BC=4+7[/tex] [tex]=\boldsymbol{11}[/tex]

Therefore,[tex]AC=2BC[/tex] [tex]=2 \times 11\\=\boldsymbol{22}[/tex]Length of [tex]\boldsymbol{AC}[/tex] is [tex]\boldsymbol{22}[/tex] units.

Find out more information about midpoint here:

https://brainly.com/question/8943202?referrer=searchResults

Point G is on line segment FH. Given FG = 5x + 2, GH = 3x – 1, and
FH = 9, determine the numerical length of FG.

Answers

Answer:FH = 12

Step-by-step explanation:

equations with variables
-2y+3=8y-7​

Answers

Answer:

y=1

Step-by-step explanation:

-2y +3 = 8y -7

-10y = -10

y = 1

Point V lies between points U and W on line UW. The distance between U and V is 2x-4, and the distance between V and W is 4x+10. If UW = 9x – 9, what is UW in units?

Answers

Answer:

36UNITS

Step-by-step explanation:

If point V lies between U and W, then UV+VW = UW

given parameters

UV = 2x-4

VW = 4x+10

UW = 9x-9

Substituting the given functions in the formula first, we will have;

2x-4+4x+10 = 9x-9

6x+6 = 9x-9

Collect like terms

6x-9x = -9-6

-3x = -15

x = -15/-3

x = 5

Substitute x = 5 into UW.

Since UW = 9x-9

UW = 9(5)-9

UW = 45-9

UW = 36

1. Give an example of the symmetric property​

Answers

Answer:

if line segement XY is congruent to line segment MN, the line segemnt MN is congruent to line segment XY

Step-by-step explanation:

:)

Here is a system of linear equations:
6x+21y=103
-6x+23y=51

Would you rather use subtraction or addition to solve the system? Explain your reasoning.

Answers

Step-by-step explanation:

6x + 21y = 103

-6x + 23y = 51

The signs of the x coefficients are opposite.  So adding the equations will eliminate the x terms.

44y = 154

y = 3.5

Combining the equations will remove the x terms because the x coefficients have inverse signs. The solution to the given system of linear equations is x = 4.92 and y = 3.5.

What is the equation?

The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.

Here is a system of linear equations:

⇒ 6x + 21y = 103

⇒ -6x + 23y = 51

Inverse signs can be seen in the x coefficients. The x terms will therefore be removed after adding the equations.

⇒ 44y = 154

⇒ y = 3.5

Substitute the value of y = 3.5 in the equation 6x + 21y = 103

⇒ 6x + 21(3.5) = 103

⇒ 6x + 73.50 = 103

⇒ 6x = 103 - 73.50

⇒ 6x = 29.50

⇒ x = 4.92

Learn more about the equation here:

brainly.com/question/10413253

#SPJ2

Is 6.34_ rational or irrational

Answers

Answer:

rational

Step-by-step explanation:

Rational the anwser is rational

Evaluate.
(−2
5
2

)
2

Answers

Answer:

-63504

Step-by-step explanation:

5) There are 20 students in Mr. Drury's tutorial. 70% of the students are wearing a hoodie. Het many students are wearing a hoodie?​

Answers

I’m sorry I’m answering this to ask a question

Which equation represents the data: m = -3, b = 5

Answers

The answer is Y= -3x +5

Calculate the median for the following test scores.

55, 55,22,64,78,99, and 100

Answers

64 is the median
How to calculate median:
-Arrange numbers from lowest to highest
-the number in the middle is the median
-if there’s two numbers in the middle divide them by 2 to get your answer

3/8=r+2/3 what is r=?

Answers

Answer:

[tex]\frac{-7}{24}[/tex]=r

Step-by-step explanation:

3÷8=r+2÷3

[tex]\frac{3}{8}[/tex]=r+[tex]\frac{2}{3}[/tex]

[tex]\frac{3}{8}[/tex]-[tex]\frac{2}{3}[/tex]=r

(make the denominators same)(LCM of 8 and 3=24)

[tex]\frac{3}{8}[/tex]([tex]\frac{3}{3}[/tex])+[tex]\frac{2}{3}[/tex]([tex]\frac{8}{8}[/tex])=r

[tex]\frac{9}{24}[/tex]-[tex]\frac{16}{24}[/tex]=r

[tex]\frac{9-16}{24}[/tex]=r

[tex]\frac{-7}{24}[/tex]=r

Solve for x:
-4x+1`=-9x+16

Answers

Answer:

zxc

Step-by-step explanation:

xzcsdcasc

Answer:

x=3

Step-by-step explanation:

−4x+1+9x=−9x+16+9x

5x+1=16

Step 2: Subtract 1 from both sides.

5x+1−1=16−1

5x=15

Step 3: Divide both sides by 5.

5x/5 =15/5

x=3

Point A (-8, 7) and Point B (6,-9) form a line segment on a coordinate plane. What is the midpoint of line segment AB

Answers

Answer:

-1,-1

Step-by-step explanation:

it is the midpint (-1,-1)

Answer:

( -1 , -1 )

Step-by-step explanation:

( -8 + 6 / 2 ) , ( 7 + -9 / 2)

( -2 / 2) , ( -2 / 2)

( -1 , -1 )

George put 25 mL of water into a graduated cylinder. After adding a solid object, the water level in the cylinder rose to 45 mL. What is the volume of the object?

Answers

Answer: 20 mL

Step-by-step explanation:

According to Archimedes, the upward force exerted on a body immersed in a fluid is equal to the weight of the fluid the body displaces.

i.e. weight of the object = weight of the fluid displayed

Given: George put 25 mL of water into a graduated cylinder. After adding a solid object, the water level in the cylinder rose to 45 mL.

So, the volume of the object = New volume - Original volume

= 45 mL - 25 mL

= 20 mL

Hence, the volume of the object =20 mL

1.44 x 106
In standard form

Answers

Answer: The way you would write this in standerd form would be like this one  point fourty four times one hundered six. Let me know if this correct or not.

Step-by-step explanation:

(sec(x) sin^2(x)) / (1 + sec(x)) simplifyy pls

Answers

Answer:

[tex]1-\cos \left(x\right)[/tex]

Step-by-step explanation:

[tex]\frac{\sec \left(x\right)\sin ^2\left(x\right)}{1+\sec \left(x\right)}[/tex]

Use the identity: [tex]\sec \left(x\right)=\frac{1}{\cos \left(x\right)}[/tex]

[tex]\frac{\frac{1}{\cos \left(x\right)}\sin ^2\left(x\right)}{1+\frac{1}{\cos \left(x\right)}}[/tex]

[tex]\frac{\frac{1}{\cos \left(x\right)}\sin ^2\left(x\right)}{\frac{\cos \left(x\right)+1}{\cos \left(x\right)}}[/tex]

[tex]\frac{\frac{\sin ^2\left(x\right)}{\cos \left(x\right)}}{\frac{\cos \left(x\right)+1}{\cos \left(x\right)}}[/tex]

Divide them using [tex]\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\times d}{b\times c}[/tex]

[tex]\frac{\sin ^2\left(x\right)\cos \left(x\right)}{\cos \left(x\right)\left(\cos \left(x\right)+1\right)}[/tex]

Cancel cos(x):

[tex]\frac{\sin ^2\left(x\right)}{\cos \left(x\right)+1}[/tex]

Use the identity: [tex]\sin ^2\left(x\right)=1-\cos ^2\left(x\right)[/tex]

[tex]\frac{1-\cos ^2\left(x\right)}{1+\cos \left(x\right)}[/tex]

[tex]\frac{-\left(\cos ^2\left(x\right)-1\right)}{1+cos(x)}[/tex]

Use the difference of squares formula:

[tex]-\frac{\left(\cos \left(x\right)+1\right)\left(\cos \left(x\right)-1\right)}{1+\cos \left(x\right)}[/tex]

Cancel out 1+cos(x):

[tex]-\left(\cos \left(x\right)-1\right)[/tex]

Remove outer bracket:

[tex]-\cos \left(x\right)+1[/tex]

[tex]1-cos(x)[/tex]


Which option is part of designing a set of experimental procedures?
A. Looking for errors in the collected data
B. Developing a question about a phenomenon
C. Identifying the controlled, manipulated, and responding variables
D. Conducting the experiment

Answers

Answer:

Part of designing a set of experimental procedures is:

C. Identifying the controlled, manipulated, and responding variables

48 = 4t + 12
How would I solve this someone please respond fast.

Answers

Answer:

t=9

Step-by-step explanation:

Move all terms that don't contain

t to the right side and solve.t=9

Answer:

t=9

Step-by-step explanation:

48=4t+12

Subtract 12 in both sides

36=4t

Divide 4 both sides

9=t

t=9

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