A wire 22 cm long is cut into two pieces. The longer piece is 4 cm longer than the shorter piece. Find the length of the shorter piece of wire

Answers

Answer 1
Answer:

Explanation: L = longer piece S = shorter piece

L + S = 22

L = 4 + S

S + S + 4 = 22
-4 -4
S + S = 18

S = 18/2 = 9 cm

L = 4 + S —> 4 + 9 = 13 cm

To confirm:

13 cm + 9 cm = 22 cm

Therefore, the shorter piece is 9 cm.

Related Questions

What is the next step. pls help!!​

Answers

2.......................

Pls help with thissssdd!!

Answers

Answer:

a. False

b. true

c. false

d. true

Step-by-step explanation:

Set up a proportion round to the nearest tenths. 26 is 380% of Wat number?

Answers

Answer:

10 percent is the answer

Plot the points A=(2,0), B=(-1,0), C=(-1,3). Find the coordinates of

the point D such that ABCD is a square.

Answers

Point D would have to equal (2,3) in order to make ABCD a square

What is M less than A

Answers

I think you mean to ask what is the measure of angle A.

You can find the third angle of the bottom triangle by 180 - 43 - 35 = 102

The vertical angle above it is also 102.

Then, to find the measure of angle A, you do 180 - 102 - 18 = 60

So, the measure of angle A is 60 degrees.

Answer:

60°

Step-by-step explanation:

Since Angle E is same for both triangles, as vertical angles, the sum of the other two interior angles should be same.

Then we have:

m∠A + m∠B = mC + m∠Dm∠A + 18 = 43 + 35m∠A + 18 = 78m∠A = 78 - 18m∠A = 60

How do you choose the best point of view for your own narratives? A. You choose randomly. B. You think about how your choice of narrator will affect the story before you begin writing.C. You don't have to make a choice because it doesn't matter. D .You ask your teacher or a friend which point of view you should use.

Answers

Answer:

B.) You think about how your choice of narrator will affect the story before you begin writing, should be the most correct choice given. I hope this helps.

Triangles PQR and RST are similar right triangles.


image


Which proportion can be used to show that the slope of PR is equal to the slope of RT?

A.
3

7

4

(

7
)
=

5

3
2

(

4
)

B.
3

(

4
)
7

(

7
)
=

5

2
3

(

4
)

C.

4

(

7
)
3

7
=
2

(

4
)

5

3

D.

4

(

3
)

7

7
=
2

(

5
)

4

3

Answers

Good let’s dndnkdbihvhiuhitufytsitdutdutduxitdrusutdtdrdutit subtract ufuitfiyand getugxiycitc192

Use f(x) = 2x − 3 and g(x) = 4 − x2 to evaluate the expression.
(a) (f ∘ g)(x)
(b) (g ∘ f)(x)

Answers

The resulting expressions for [tex](f\,\circ\,g)(x)[/tex] and [tex](g\,\circ\,f)(x)[/tex] are [tex]5- 2\cdot x^{2}[/tex] and [tex]-4\cdot x^{2} + 12\cdot x -5[/tex], respectively.

A composition is a operation two functions in which the independent variable of the first function is substituted by the entire second function. In other words, we have the following expressions:

[tex](f\,\circ\,g) (x) = f(g(x))[/tex] (1)

[tex](g\,\circ \,f)(x) = g(f(x))[/tex] (2)

If we know that [tex]f(x) = 2\cdot x - 3[/tex] and [tex]g(x) = 4 - x^{2}[/tex], then we have the following compositions:

[tex](f\,\circ\, g) (x) = 2(4-x^{2})-3[/tex]

[tex](f\,\circ\,g)(x) = 5-2\cdot x^{2}[/tex]

[tex](g \circ f) (x) = 4 - (2\cdot x-3)^{2}[/tex]

[tex](g\,\circ f) (x) = -4\cdot x^{2} +12\cdot x -5[/tex]

The resulting expressions for [tex](f\,\circ\,g)(x)[/tex] and [tex](g\,\circ\,f)(x)[/tex] are [tex]5- 2\cdot x^{2}[/tex] and [tex]-4\cdot x^{2} + 12\cdot x -5[/tex], respectively.

We kindly invite to check this question on composition between functions: https://brainly.com/question/15070966

Select the correct answer.
100
n
In the figure, lines mand n are parallel to each other. Lines p and q are also parallel to each
m
other. What is the value of x?

Answers

Answer:

80

Step-by-step explanation:

in the figure above, angle 100 degrees is corresponding to the angle co - interior to angle x

that is

if we put an angle that is at the upper left of x, we can call that y which is corresponding to 100 degrees

since y is corresponding to 100 degrees, it automatically becomes the same as 100 degrees

therefore y=100

now, from the first line above, we know that x and y are co-interior which means that they both add up to 180 degrees

that is

x+y=180

we know that y = 100

therefore,

x+100=180

collect like terms and

x = 180-100

therefore,

x= 80

thank you!!

Plz help ASAP!!


Picture attached:
Which statement is true about the graph of the equation y = x?

Answers

Answer:

that they both create different equations

Simplify 12 square root 1764

Answers

Answer:

504

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

The square root of 1764 (or root 1764), is the number which when multipiled by itself give the product as 1764. Therefore the square root of 1764 = √ 1764 = 42.

) y = 2x - 4
y = -3x + 1

Answers

Answer:

I think x = -8. Hope this helps!! :)

Before Sarah does open her account, she sees her grandmother for the holidays. Grandma wants to contribute to Sarah’s ROTH and even matches her contribution, giving her an additional $500 to invest. Now that Sarah has an initial investment of $1000, how much would Sarah have at age 68 based on her predicted rate of return from historical data

Answers

Answer:

2,9457

Step-by-step explanation:

100+7% = 1.07

(1.07)^50 = 29.45702506

y = 1000(29.46)

y = 29,460

what is 47+50- __ - 32

Answers

This question doesn't make sense.Are you sure you wrote it correctly?

Hello could someone help me

Answers

It’s 1,6 hope I helped you

1 cup of mango and 3 cups of strawberries. And 2 cups of mango and 6 cups of strawberries are they equivalent

Answers

Answer:

Yes

Step-by-step explanation:

First off, let's use an example with the same equivalence:

[tex]\frac{12}{36} =\frac{16}{48}[/tex]

If you divide the denominator by the numerator you have to get 3, otherwise, it's not equivalent.

The constant of proportionality between the denominator and the numerator, if we use x and y, is:

[tex]y=3x[/tex]

So, just like the example and explanation I used, 3 divided 1 is 3 and 6 divided by 2 is 3.

Answer:

Yes, the 2 cups of mango and 6 cups of strawberries are equivalent.

Step-by-step explanation:

The question is based on ratios. Ratios are basically the quantitative relation between two amounts showing the number of times one value contains or is contained within the other. In this instance, you're altering the quantity by 2. So the 1 cup of mangoes becomes 2 cups of mangoes and the 3 cups of strawberries becomes 6 cups.

Another example of this could be:

In the store, for every 1 man there are 4 women. So if you change the amount of men in the store from 1 to 2, the quantity of women would go from 4 to 8.

Camille's science class is making slime from cornstarch and glue. Camille is helping pass out materials. She gives each student 4 ounces of cornstarch from a 5-pound bucket. If Camille's class has a total of 18 students, how many ounces of cornstarch will she have left?

Answers

Answer:

8 ounces

Step-by-step explanation:

16oz/lb

16*5= 80oz of cornstarch in bucket

4oz * 18students = 72oz

80-72= 8 oz remaining

The amount of cornstarch left is 8 ounce.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Each student get = 4 ounce of cornstarch

Total number of student = 18 students

And, Total amount of cornstarch = 5 pound

Here,

Since, Amount of total cornstarch to student = Each student get × Total number of student

⇒ Amount of total cornstarch to student = 4 × 18

⇒ Amount of total cornstarch to student = 72 ounce

Since, 1 pound = 16 ounces

So, We get;

⇒ Total amount of cornstarch = 5 × 16

⇒ Total amount of cornstarch = 80 ounces

Thus, Amount of cornstarch left = 80 - 72

⇒ Amount of cornstarch left = 8 ounces

Learn more about the multiplication visit:

https://brainly.com/question/10873737

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what is 86,503 when written in expanded form

Answers

Answer:

Eighty six thousand, five hundred and three

Step-by-step explanation:

Answer:

Expanded Notation Form:

86,503 =

80,000

+ 6,000

+ 500

+ 0

+ 3

Expanded Factors Form:

86,503 =

8 × 10,000

+ 6 × 1,000

+ 5 × 100

+ 0 × 10

+ 3 × 1

Expanded Exponential Form:

86,503 =

8 × 104

+ 6 × 103

+ 5 × 102

+ 0 × 101

+ 3 × 100

Word Form:

86,503 =

eighty-six thousand five hundred three

Step-by-step explanation:

:)

Which ordered pair is a solution to the following:
Y= -2x + 5
Choose 1 answer:
A: Only (2,-9)
B: Only (-2,9)
C: both
D: neither

Answers

Answer:

Option B: Only (-2, 9)

Step-by-step explanation:

Given the linear equation, y = -2x + 5:

We'll plug in the given options to see which of the ordered pairs will satisfy the equation:

Substitute option  A: (2, -9) into the equation:

y = -2x + 5

-9 = -2(2) + 5

-9 = -4 + 5

-9 = 1 (False statement). Therefore, (2, -9) is not a solution.

Substitute option B: (-2, 9) into the equation:

y = -2x + 5

9 = -2(-2) + 5

9 = 4 + 5

9 = 9 (True statement). Therefore, the ordered pair, (-2, 9) is a solution.

The other two options are irrelevant at this point since we've proven that option B is the correct answer.

Please mark my answers as the Brainliest if you find my explanations helpful :)

round to nearest ten 8,990.97​

Answers

Answer:

8990

Step-by-step explanation:

The 9 underlined is in the tens place.

8990.97 ⇒ 8990

Since you can't round up, you replace everything after the underlined 9 with 0's.

8990.00 = 8990

The left and right page numbers of an open book are two consecutive integers whose sum is 23. Find these page number.

Answers

Answers: The page numbers are 11 and 12

==========================================================

Explanation:

Consecutive integers are ones that follow immediately after another. For example, the set {7,8,9,10} are consecutive.

Let,

x = first page, some positive whole numberx+1 = second page, follows immediately after page x

Adding those two said pages will lead to 23

first + second = 23

(x) + (x+1) = 23

2x+1 = 23

2x = 23-1

2x = 22

x = 22/2

x = 11 is the first page

x+1 = 11+1 = 12 is the second page

Check: 11+12 = 23 which confirms the answers.

Divide and round to the nearest tenth: 89.05 divided by 0.41

Answers

Answer:

217.2

Step-by-step explanation:

You divide the two numbers. The tenths place is the number after the decimal. The answer without rounding is 217.19(other numbers). 9 raises 1 up to 2 so that's why the answer is 217.2.

What is the smallest integer 160 needs to be multiplied by to give a square number

Answers

15

60 X 15= 900
Square root of 900= 30

The smallest integer 160 needs to be multiplied by to give a square number is 15.

What is a perfect square?

A perfect square is a number system that can be expressed as the

square of a given number from the same system.

The smallest integer 160 needs to be multiplied by to give a square number;

60 x 15= 900

Hence,

The square root of 900= 30

Learn more about root;

https://brainly.com/question/11261431

#SPJ2

I will give Brainliest!!

Answers

Answer:

5.8 h po salamat

salamat po

Which statement is correct

Answers

Answer:

statement B is correct.........

Donald bought 3 shirts for $45. How many shirts can Donald buy if he has $30? Show your work using mathematics.

Answers

Answer:

donald can buy 2

Step-by-step explanation:

price of a shirt = $45÷3

=15

=30÷2=15

Answer:2 shirts

Step-by-step explanation: if you divide 45$ by three you find out each shirt cost 15$ if you add fifteen twice you get 30$ theirfor you used all your money and can not buy another shirt.

help asap please!! :(( I need help

Answers

Answer:

m1= 43

m2=17

m3=120

m4=m5=m6=60

m7=17

m8=120

m9=43

Step-by-step explanation:

"Given ABC is an isosceles triangle and DBE is an equilateral triangle. we have to find each missing measure.

In triangle ABC,

∠1=∠9    (∵isosceles triangle)

⇒ 4x+3=9x-47

⇒ 9x-4x=3+47 ⇒ 5x=50 ⇒ x=10

Hence, ∠9=∠1=(4x+3)°=4(10)+3=43°

Also, given ΔBDE is an equilateral triangle, and all angle of equilateral triangle are equal.

∴ ∠4+∠5+∠6=180°

⇒ ∠4+∠4+∠4=180° ⇒ 3∠4 = 180° ⇒ ∠4 = 60°

∴ ∠4=∠5=∠6=60°

By exterior angle property, ∠3=∠5+∠6=60°+60°=120°

                                            ∠8=∠5+∠4=60°+60°=120°

In ΔABD, ∠1+∠2+∠3=180°

            ⇒ 43°+120°+∠2=180°⇒ ∠2 = 17°

In ΔABD, ∠9+∠8+∠7=180°

            ⇒ 43°+120°+∠7=180°⇒ ∠7= 17°"

by SerenaBochenek

What is the probability that Zeke gets a sum of 7

Answers

Answer:  

17

%

Explanation:

A sum of 7 can be achieved the following ways.

5 and 2

2 and 5

4 and 3

3 and 4

6 and 1

1 and 6

There are

6/2

=

3/6

possible outcomes and 6 ways to obtain the sum of 7 so

6 3/6

17

%

-3 (x + 2) + 9 + 7x = 4x + 5 – 2

Answers

Step-by-step explanation:

- 3 ( x + 2 ) + 9 + 7x = 4x + 5 - 2

- 3x - 6 + 9 + 7x = 4x + 5 - 2

- 3x + 7x + 9 - 6 = 4x + 5 - 2

4x + 3 = 4x + 3

Which of the following rational functions is graphed below?

Answers

B is the correct answer
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