Franz used 1/12
of his new shelf space for novels and 1/3
for textbooks.

i) What fraction of his shelf space did he use?
ii) What fraction of shelf space is left for his other books?

Answers

Answer 1
i) 1/12+1/3= 5/12
ii) 7/12
Answer 2

Answer:

1/12+1/3=5/12

1-5/12=7/12

Step-by-step explanation:

add fractions used

remaining space ,subtract used fraction from the total


Related Questions

e
Find the mode of the
data set:

25,29, 22,19,20,29, 23, 29,
19,31

Answers

Answer:

the mode is 29

Step-by-step explanation:

the mode is the number that appears most often in a set of data, thus making it 29

It should be 29 that is right

Please help me ASAP... ​

Answers

Answer:  20% of the teachers are from district M

There are 50 teachers from district M, so bar M is 50 units tall.

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

Work Shown:

Let's add up the bar heights of the bars shown in the chart.

J+K+L+N = 50+80+30+40 = 200

So 200 teachers are from districts J,K,L, or N.

We're told that 250 total teachers attended. This must mean M = 50. We're effectively solving 200+M = 250.

So you'll need to draw a bar over M such that it is 50 units tall. This will complete the chart.

Because there are 50 teachers from district M, out of 250 total, we can then compute the percentage to get

50/250 = 0.20 = 20%

So 20% of the teachers are from district M.

what is the equation of the following line?

Answers

Answer:

y = -3x

Step-by-step explanation:

The total surface area of this cuboid is 112cm^2. Find the value of x.
Please explain, don’t just give the answer.

Answers

Answer:

The value of x is 3

Step-by-step explanation:

Let us study the face of the cuboind

The cuboid has 6 rectangular faces

∵ Each opposite faces area equal in areas

∴ 2 faces of dimensions 10 cm and 2 cm

∴ 2 faces of dimensions 10 cm and x cm

∴ 2 faces of dimensions 2 cm and x cm

∵ The total surface area of the cuboid is the sum of the areas of the 6 faces

∵ The area of the rectangle = length × width

∴ The total surface area = 2(10 × 2) + 2(10 × x) + 2(2 × x)

∴ The total surface area = 2(20) + 2(10x) + 2(2x)

∴ The total surface area = 40 + 20x + 4x

→ Add the like terms 20x and 4x

The total surface area = 40 + 24x

∵ The total surface area of this cuboid is 112 cm²

→ Equate the two sides of the total surface area

40 + 24x = 112

→ Subtract 40 from both sides

∵ 40 - 40 + 24x = 112 - 40

∴ 24x = 72

→ Divide both sides by 24

x = 3

The value of x is 3

Answer:

= 3

Step-by-step explanation:

(easier way to solve it)

x = L, 10 = B, 2 = W

L x B

x 10 = A1

L x W

x 2 = A2

B x W

10 x 2 = 20 (A3)

= 112cm^2 / 2 = 56cm - 20 = 36

3 x 10 = 30

3 x 2 = 6

30 + 6 = 36

36 + 20 = 56cm

56cm x 2 = 112cm^2

(i hope this actually makes sense, things work differently in my mind)

In right triangle, ABC m\angle A=37 find the measure of angle B.

Answers

Answer:

B = 53 degrees

Step-by-step explanation:

37+90=127

180-127=53

If the measure of the angle ∠A is 37°. Then the measure of the angle ∠B will be 53°.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

In the right triangle ΔABC, the measure of the angle ∠A is 37°.

Angle A and angle B are complementary angles. Then the equation is given as,

∠A + ∠B = 90°

37° + ∠B = 90°

∠B = 90° - 37°

∠B = 53°

If the measure of the angle ∠A is 37°. Then the measure of the angle ∠B will be 53°.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ2

HELP PLEASE I WILL MARK BRAINLIEST IF RIGHT ANSWER!!

Answers

Answer:

Its XYW is half of LXYZ

Step-by-step explanation:

.

Answer:

this is the required solution

18. The half-life of a radioactive isotope is 7 years.
Initially, there are 100 grams of the isotope.
Which expression shows the amount of the isotope
remaining after x years?

Answers

Answer:

100(0.5)^X/7

Step-by-step explanation:

That is how you would put it ;)

(-w^3 + 8w^2 - 3w) - (4w^2 + 5w - 7) PLS HELP in standard polynomial form plsssss

Answers

Answer:

−w^3+4w^2−8w+7v

What will the denominator for this problem be?

10
15
9
8

Answers

Answer: Your Answer will be 15, 3 x 5 equals 15. And 5 x 3 equals 15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

you multiply the two numerators to get 8 and the two denominators to get 15, so your fraction will be 8/15

If James has 186 apples. He hands them out to his 8 friends. Will each friend get an equal amount? How much will each friend get?

Answers

Answer:

No they will not because the total will be 23.25

Step-by-step explanation:

Answer:

im sorry but just- the- the profile picture and the name james... i cant lol if ykyk

anyways each friend would get 23 whole apples since 186/8 = 23.25 and you cant give .25 of an apple as a whole apple.

5,674,178,209,889.86 nearest hundred million

Answers

Answer:

5,674,200,000,000

Step-by-step explanation:

What is the answer QUIcK

Answers

The answer is the last one C

solve for extra points and brainlist

Answers

Answer:

ポイント

Step-by-step explanation:

ポイント

What is the value of x?

Answers

Answer:

x ≈ 6.8

Step-by-step explanation:

since all angles in a triangle add up to 180º:

8x-4+17x-23+3x+17=180

28x-10=180

28x=190

x ≈ 6.8

Find the inequality represented by the graph.

Answers

Answer:

y>4x-2

Step-by-step explanation:

First let us find the equation of the line.

Given points (1,2) and (0, -2), the slope would be

(2-(-2))/(1-0) = 4/1= 4

The intercept is at -2, so the full equation would be

y=4x-2

However, we need to find the inequality of the graph. Everything greater than our line/above our line is included. Also notice that the line is dotted, which means that the line itself is not included.

Our equations should be,

y>4x-2

I hope this helps! :)

translate : 5 more than a number squared (variable expression)

Answers

Answer:

5+x^2

Step-by-step explanation:

five more (5+) than a number squared (x^2)

plsssssssssssssssss help

Answers

Pick numbers that are small than the -4. So like -5 -9 and -4.1

A. 7n+2 = 4n+17

B. 10-d = -34-5d

C. 8(x-1)-2x = -(x+50)

D. 80-3k = 5k+8

E. 3(2x+3)-x = x-23

F. 12(y+5) = 13y+58

G. 6(x-1) = 9(x-4)

H. 4(w-6) = 3(w+1)

I. 3+2(8-k) = 3k-1

J. 9m = 4m-35

K. 7-6u = 5u+29

L. 8y-3 = 16-(1-2y)
this is an answer worth answering cuz youll get like 40 points or 80

Answers

A. n=5
B. d=-11
C. x= -6
D. k=9
E.x= -8
F. y= 2
G. x= 10
H. w= 27
I. k= 4
J. m= -7
K. u= -2
L. y= 3

Answer:

a)n=5

b)d=-11

c)x=-6

d)k=9

e)x=-8

f)y=2

g)x=10

h)w=27

i)k=4

j)m=-7

k)u=-2

l)y=3

NEED HELP NOW PLEASE!!!! D;

A student answered 72 problems on a test correctly and received a grade 83%. How many problems were on the test, if all the problems were worth the same number of points? (Round to the nearest whole number)

Answers

Answer:

There were 86 problems on the test.

Step-by-step explanation:

72/87 = y/100

You use cross multiplication to solve. When you do this, you get the answer 86.75 problems, but since you can't have .75 of a problem, the answer is 86.

i just don’t understand can someone help me

Answers

Answer:

5 years

Step-by-step explanation:

5yearhdjdjdjkdjskeksk

Answer:

5 years

Step-by-step explanation:

if you divide 90 by 18 you get 5 so the answer is 5 years

Hope it helped :)

1). (-6p - 8) - (2p - 6) =
2). (-8r - 2) + (4r - 3) =

3). (-z - 8) - (6z - 5) =

4). (-s - 5) + (-2s + 2) =

5). (-7s + 4) - (-8s + 4) =

6). (-4f + 9) - (8f + 9) =

7). (-8f) + (-f + 8) =

8). (4p - 4) + (-7p - 7) =

9). (7v - 9) - (6v + 9) =

10). (-3g) + (5g - 5) =
Please help me answer 1-10 please I really need it now and please actually answer the question !!!

Answers

Answer:

1.-8p-2

2.−4r−5

3.−7z−3

4.-3s-3

5. 1s

I got lazy to do the rest sorry :D

i
YA
-
/
7
What is the distance between
point A and point B?
6
5
4
3-
/
27
1
1 2 3 4
5 6
-6 -5 -4 -3 -2
1701
11
1-2
+3
-4
-5
-6
1
Your answer
13 noints

Answers

Answer:

The distance between points A and B is 13

Step-by-step explanation:

We need to find distance between points A and B

Looking at the graph,

Point A : (2,6) and Point B: (-3,-6)

We need to find the distance between these points.

The formula used is: [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\[/tex]

We have Points A : (2,6) and  B: (-3,-6)

So, [tex]x_1=2, y_1=6, x_2=-3, y_2=-6[/tex]

Putting values in formula and finding distance

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\Distance=\sqrt{(-3-2)^2+(-6-6)^2} \\Distance=\sqrt{(-5)^2+(-12)^2} \\Distance=\sqrt{25+144} \\Distance =\sqrt{169}\\Distance = 13[/tex]

So, the distance between points A and B is 13

I need help with this question

Answers

Answer:

67 people i believe. I am not 100% sure..

Step-by-step explanation:

Which of the following is not a Pythagorean triple?

Answers

Answer:

B

Step-by-step explanation:

llan needs to prove that RS - TU and RU - TS. His proof is shown in the table below.
Step
Statement
1
RSTU is a parallelogram
RS is parallel to TU and RU is
parallel to TS
2
3
RSU
TUS and RUS TSU
4
SU = US
5
ARSU = ATUS
6
RS TU and RU = TS
Select all reasons that support one or more statements in the proof.
symmetric property
opposite sides of a parallelogram are congruent
definition of a parallelogram
ООО
alternate interior angles are congruent
corresponding parts of congruent triangles are congruent

Answers

Answer:

- opposite sides of a parallelogram are congruent.

-definition of a parallelogram

- alternate interior angles are congruent

Step-by-step explanation: I took the test .

Write the equation in point slope form for the line that contains the points (-2,-3), (4,3)

Answers

Answer:

y + 3 = 1 ⋅ (x + 2).

Step-by-step explanation:

Find the equation using point-slope formula.

Slope-intercept form:

y = x − 1

Point-slope form:

y + 3 = 1 ⋅ (x + 2)

x^2 + y^2+ 4x- 2y = - 1

The equation of a circle in the x-y plane is shown above. What is the Radius of the Circle

2

3

4

9

Answers

Answer:

r = 2

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + y² + 4x - 2y = - 1 ← rearrange the x and y terms together

x² + 4x + y² - 2y = - 1

Using the method of completing the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(2)x + 4 + y² + 2(- 1)y + 1 = - 1 + 4 + 1

(x + 2)² + (y - 1)² = 4 ← in standard form

with r² = 4 ⇒ r = [tex]\sqrt{4}[/tex] = 2


Mrs. Jordan combined a box of 32 red pencils with a box of 26 blue pencils. Then, Mrs.
Jordan gave each of her 5 students the same number of pencils. How many pencils
remained after Ms. Jordan divided the pencils equally among her students

Answers

Answer:

11.6

Step-by-step explanation:

Find the output, y, when the input, x, is -5.

Answers

Answer:

y = - 2

Step-by-step explanation:

When x = - 5 so, y = - 2

Hope it helps you in your learning process.

Identifying and Graphing Sequences: lesson 4-1

-Complete the table and state the domain and range for the sequence.
Domain:
Range:

Write the first four terms of each sequence.

1.
2.
3.
4.

Answers

Answer:

1) Domain: {   1,2,3,4,5,6}

Range: {12,24,36,48,60,72}

2) First four terms are: 2,5,8,11

3) First four terms are: 8,13,20,29

4) First four terms are: 0,0,2,6

5) First four terms are: 0,1,1.41,1.73

Step-by-step explanation:

1.

n       1      2     3     4      5      6

f(n)    12    24    36   48    60    72

Domain: {   1,2,3,4,5,6}

Range: {12,24,36,48,60,72}

Write first four terms of each sequence

2) f(n)=3n-1

Put n = 1, 3(1)-1 = 3-1 = 2

Put n = 2, 3(2)-1 = 6-1 = 5

Put n = 3, 3(3)-1 = 9-1 = 8

Put n = 4, 3(4)-1 = 12-1 = 11

So, First four terms are: 2,5,8,11

3) f(n)=n^2+2n+5

Put n = 1, (1)^2+2(1)+5= 1+2+5 = 8

Put n = 2, (2)^2+2(2)+5 = 4+4+5= 13

Put n = 3, (3)^2+2(3)+5 = 9+6+5 = 20

Put n = 4, (4)^2+2(4)+5 = 16+8+5 = 29

So, First four terms are: 8,13,20,29

4) f(n)=(n-1)(n-2)

Put n = 1, (1-1)(1-2) = 0(-1) = 0

Put n = 2, (2-1)(2-2) = 1(0) = 0

Put n = 3, (3-1)(3-2) = 2(1) = 2

Put n = 4, (4-1)(4-2) = 3(2) = 6

So, First four terms are: 0,0,2,6

5) f(n) = [tex]\sqrt{n-1}[/tex]

Put n=1 [tex]\sqrt{1-1}=\sqrt{0}=0[/tex]

Put n=2 [tex]\sqrt{2-1}=\sqrt{1}=1[/tex]

Put n=3 [tex]\sqrt{3-1}=\sqrt{2}= 1.41[/tex]

Put n=4 [tex]\sqrt{4-1}=\sqrt{3}=1.73[/tex]

So, First four terms are: 0,1,1.41,1.73

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