The sum of two numbers is 54.The smaller number is 22 less than the larger number.what are the numbers?

Answers

Answer 1

Answer:

x=16 y=38

Step-by-step explanation:

x+y=54.......equation 1

x=y-22........ equation 2

substitute

y-22+y=54

2y-22=54

2y=54+22

2y=76

y=76/2

y=38''

x=y-22

x=38-22

x=16''


Related Questions

Each quadrilateral below is a parallelogram. Find the missing measures

Answers

Answer:

[tex]ST=3[/tex], [tex]VT=10[/tex], [tex]m[/tex]∠[tex]V=48[/tex]°, [tex]m[/tex]∠[tex]T=132[/tex]°

Step-by-step explanation:

In a parallelogram, opposite sides are congruent and therefore have the same length. Thus, [tex]ST=RV=3[/tex] and [tex]VT=RS=10[/tex].

Similarly, opposite angles in a parallelogram are congruent and therefore have the same measure. Thus, [tex]m[/tex]∠[tex]V=m[/tex]∠[tex]S=48[/tex]° and [tex]m[/tex]∠[tex]T=m[/tex]∠[tex]R=132[/tex]°. Hope this helps!

A small plane has 20 rows of seats. Each row has 4 seats.
help me plz!

Answers

Answer:

there are 5 sections

Step-by-step explanation:

and how you want us to help?:))

i beg of yall a crown, 5 stars, a heart and a ty comment to answer my questions iv posted on my profile, ill be posting more too.

Answers

Answer:

I would say the answer is $5.00/lb

Have a wonderful day!

In circle o, the length of arc AB is 2x and the radius is 5. Find m m

Answers

Answer:

Hey this isn’t the answer, sorry

Step-by-step explanation:

I just need this answer to so let me know if you get the answer Thank you

Hillsdale's zoo has two elephants. The male elephant weighs 9 7/12 tons and the female elephant weighs 3 5/6 tons. How much more does the male weigh than the female?

Answers

Answer:

6 10/12

Step-by-step explanation:

thank u

Answer:

jdjdjdjjdjdjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj

Find the exact perimeter of quadrilateral ABCD plotted below. These are the points:

A(-5,-2)
B(1,5)
C(5,-2)
D(2,-6)

Choose 1 answer:
A: 5 + √85 + 2√65
B: 5 + 2√85 + √65
C: √10 + 2√85 + √65
D: 19 + 2√65​

Answers

The exact perimeter of the quadrilateral ABCD plotted is 5 + √85 + 2√65.

What is the distance between two points ( p,q) and (x,y)?

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]

The perimeter of the quadrilateral ABCD is plotted. These are the points:

A(-5,-2)

B(1,5)

C(5,-2)

D(2,-6)

The distance of AB

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\\\\D = \sqrt{(1-(-5))^2 + (5-(-2))^2} \: \rm units.\\\\D = \sqrt{85}[/tex]

The distance of BC

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\\\\D = \sqrt{(5-(1))^2 + (-2-(5))^2} \: \rm units.\\\\D = \sqrt{65}[/tex]

The distance of CD

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\\\\D = \sqrt{(2-(5))^2 + (-6-(-2))^2} \: \rm units.\\\\D = \sqrt{65}[/tex]

The distance of AD

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\\\\D = \sqrt{(2-(-5))^2 + (-6-(-2))^2} \: \rm units.\\\\D = 5[/tex]

Therefore, The perimeter of the quadrilateral ABCD is 5 + √85 + 2√65.

Learn more about the distance between two points here:

brainly.com/question/16410393

#SPJ2

Increase £490 by 11% give your answer rounded to 2 DP.

Answers

Answer:

£543.90

Step-by-step explanation:

→ Write increase 11% into decimal format

100 + 11 = 111 ÷ 100 = 1.11

→ Multiply the price by the increase in decimal amount

490 × 1.11 = £543.90

I need help solving this ​

Answers

Answer:

I have no idea but it might be

YZ = XT

RS = XZ

XY = TZ

Please help!! Is this equation linear? Why or why not?

Answers

Answer:

Yes it is linear because the line is straight and constantly declining.

Step-by-step explanation:

Answer:

Yes it is linear

Step-by-step explanation:

Basically the same thing the other one said lol. good luck!

The graph shows the amount of money liana earns per hour working as a hostess at a restraunt.

Answers

Answer:

The Slope Is 12

Step-by-step explanation:

Below are the steps to follow to find the slope of any line.

First you need to pick two points. I chose (2,24) and (4,48). (It does not mater what points you chose.)

Now follow the equation

Slope (m) = ΔY/ΔX

ΔY = 48 – 24 = 24

ΔX = 4 – 2 = 2

24/2 = 12

Then no mater what points you chose, 12 should be your final answer

What is the rate of change for the following points?
(1, 4), (2, 8), (3, 16), (4, 32)

Answers

Answer:

Step-by-step explanation:

y2-y1         8-4            4

--------  =.   --------  =    ----   =  4

x2-x1          2-1             1

f(x)= x^2 translated 4 units down
What is the vertex, zeros, y-intercept, and explain if it has a minimum or maximum

Answers

Answer:

the new equation is f(x)=x^2-4  

vertex- (0,-4)

zeros- (-2,2)

y-intercept- (-4)

and it has a minimum

Step-by-step explanation:

And left or right units

Answers

Answer:

i belive the first up 3 un its and the second is 5

Step-by-step explanation:i think i had this  on a test question if wrong pls tell me will help through it

91 is 70% of what number?91 is 70% of what number?

Answers

Answer:  91 is 70% of 130

Step-by-step explanation:

:)

Answer:

130

Step-by-step explanation:

70% of 130 = 91

I WILL GIVE BRAINLIEST IF CORRECT

Answers

Answer:

4th answer

Step-by-step explanation:

Im a genius

Answer:

B.

Step-by-step explanation:

Hope this helps

there or 5 consecutive odd integers. the sum of 3 smallest is 3 more than the sum of the 2 largest, find the integers.

PLEASE HELP ASAP!

Answers

Step-by-step explanation:

hope it helps u.........

What will a scale factor greater than 1 will make a shape?

Answers

Answer:

When the absolute value of the scale factor is lower than 1, it decreases the size of the shape.

When the absolute value of the scale factor is greater than 1, the shape will increase in size.

Step-by-step explanation:

can i have brainliest please

Why is it useful to know how much yellow water should be used with 1 ml of blue water?
Help me plz!!

Answers

Answer:

It is very useful because now, we use Diagrams and labels.

Step-by-step explanation:

Answer:

let me see

Step-by-step explanation:

A dolphin jumps out of the water with an initial velocity of 20 feet per
second (assume its starting height is O feet). Use the vertical motion
model, h = - 16t2 + vt +8, where v is the initial velocity in feet per
second and s is the height in feet, to calculate the amount of time the
dolphin is in the air before it hits the water again. Round your answer
to the nearest tenth if necessary.
Time in air: seconds

Answers

Answer:

1.6 Seconds

Step-by-step explanation:

The equation would be h(t)=-16t^2+20t+8 since 20 is the velocity, and once you input that onto a graph the answer of when it hits the ground is 1.569 seconds, so rounded is 1.6 seconds.

1 and 2 I need this before 10 pm please ASAP I need it quick or I get a bad grade

Answers

Answer:

A. 6 feet

B. 38 feet of fencing total

Step-by-step explanation:

a. We are given 78 square feet as the total area that the fence encloses. Given this, we can use the A=l*w to solve for the side lengths.

A=l*w

Plug in known variables and simplify...

Step 1: Subtract 78 from both sides.

x^2+7x−78=78−78

x^2+7x−78=0

Step 2: Factor left side of equation.

(x−6)(x+13)=0

Step 3: Set factors equal to 0.

x−6=0 or x+13=0

x=6 or x=−13

For this case we will need to use the positive value.

so to check the answer, we can plug in 6 for x and check if it will equal 78.

(6+7)(6)

13*6

78

b. now given the value of x, we need to solve for the total amount of fencing by finding the perimeter.

We already know that one side is 6+7 or 13, and the other side is 6, so to find perimeter we use the formula 2l+2w

and solve...

2*13+2*6

26+12

38

ASAP WHO EVER ANSWERS THIS WILL RECIEVE BRANLIEST

Answers

The answer is 50
The ratio of boys to girls is 10:25 in the school
If sample has 20 boys (10x2) then based on ratio it would likely have 50 girls (25x2)

5.
Solve the equation
15 - 4x = 2(3x + 1).

Answers

[tex]\huge\boxed{\ x=13/10 } :)[/tex]

My steps:

First thing we do is: Rearrange terms

15−4x=2(3x+1)−4x+15=2(3x+1)

Second thing we do is: Distribute

−4x+15=2(3+1)−4x+15=6x+2

Third thing we do is : Subtract  15 from both sides of the equation

−4x+15=6x+2−4x+15−15=6x+2−15

Then you carry on and find solution:

x=13/10

Hope this help's!

Write the expanded form of the expression. 2(3x-5)

Answers

Answer:

6x-10

Step-by-step explanation:

2(3x-5)

6x-10

Answer:

-30

Step-by-step explanation: 2 threetimes takeawyfive

PLEASEE SOMEONE HELP ANSWER CORRECTLY !!!!! WILL MARK BRIANLIEST !!!!

Answers

Answer:

NT and MT

Step-by-step explanation:

Sorry I'm late lol.

The two segments form a right angle where they intersect, which is a common indication of perpendicular lines.

Does the given matrix, A, have an inverse? If it does, what is A-1?
5
12
A
=
2
5

Answers

The inverse of the function is [tex]\left[\begin{array}{ccc}5&-12\\-2&5\\\end{array}\right][/tex]

Inverse of a matrix

For a 2 by 2 matrix, the inverse is generally expressed as:

[tex]\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right] ^{-1}=\frac{1}{ad-bc}\left[\begin{array}{ccc}d&-b\\-c&a\\\end{array}\right][/tex]

Since the given matrix is a square matrix and 2 by 2, therefore it will have an inverse.

Determine the determinant

|A| = 5(5) - 2(12)

|A| = 25 - 24

|A| = 1

Substitute the values into the formula above

[tex]\left[\begin{array}{ccc}5&12\\2&5\\\end{array}\right] ^{-1}=(1)\left[\begin{array}{ccc}5&-12\\-2&5\\\end{array}\right][/tex]

Hence the inverse of the function is [tex]\left[\begin{array}{ccc}5&-12\\-2&5\\\end{array}\right][/tex]

Learn more on inverse of a matrix here: https://brainly.com/question/27924478

#SPJ1

ok pa utak nyo? tanong kayo ng tanong?​

Answers

Answer:

yes it is. Is urs?

Step-by-step explanation:

D. car B was 5 miles east of car A

Answers

Answer:

Was 5 miles east oft car A

Where do you see rotation in our lives/world?

Answers

Answer:

There's a rotation in our schedule if things we do everyday.

Step-by-step explanation:

Hope this helps :D

There’s a rotation in our schedule

How can I use the number line to find the sum: −1 12 + (−1 12)

Answers

Answer:

You can make the mixed numbers int improper fractions and then into decimals

Step-by-step explanation:

hi guys
please help ​

Answers

Answer:

- 1

Step-by-step explanation:

Multiplying a negative quantity by a negative quantity results in a positive.

Also multiplying by 1 leaves the other value as is, then

- 1 × - [tex]\frac{7}{11}[/tex] = [tex]\frac{7}{11}[/tex]

The answer is definitely -1
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