Find the sum. Write the sum as a mixed number, so the fractional part is less than 1. Number 3. 2 2/3 + 3 2/3 number 5. 9 3/6 + 2 2/6 number 7. 4 3/8 + 1 5/8

Answers

Answer 1

Answer:

See explanations below

Step-by-step explanation:

1)2 2/3 + 3 2/3

Convert to improper fraction

= 8/3 + 11/3

= (8+11)/3

= 19/3

= 6 1/3

hence the sum as mixed fraction is 6 1/3

2) 9 3/6 + 2 2/6

= 57/6 + 14/6

= (57+14)/6

= 71/6

= 11 5/6

Hence the value as a mixed fraction is 11 5/6

3) 4 3/8 + 1 5/8

= 35/8 + 13/8

= (35+13)/8

= 48/8

= 6

Hence the value is 6


Related Questions

I need help asap please​

Answers

Step-by-step explanation:

5³×1/5⁵

5×5×5×1/5×1/5×1/5×1/5×1/5

=1/25

or

1/5²

5³ × 5-⁵

5³-⁵

= 5-²

= 1
-------



B

1. Use the distributive property to factor out the greatest common factor (GCF) and rewrite the
expression 36 minus 96.
a. 2(18-48)
B.6(6-16)
c 12 (3-8)
D. 12(6-2)

Answers

The answer would be c. 12(3-8)

Rhea earned P9,876.88 a month while Jane earned P10,675.50. How much more did Jane earn month than Rhea?
1. What is asked in the problem?
2. What are the given facts?
3. What is the operation to be used?
4. What is the number sentence?
5. What is the correct answer​

Answers

Don’t worry someone will come along and help you. Good luck and I hope you get it right

HELP.................................................................

Answers

Answer:

A. [tex]\frac{1}{6^{2} }[/tex]

Step-by-step explanation:

A. [tex]\frac{1}{6^{2} } = \frac{1}{36} = 0.02777[/tex]

B. [tex]6^{-3} = 0.004629[/tex]

C. [tex]\frac{1}{216} = 0.004629[/tex]

D. [tex]\frac{1}{6^{3} } = \frac{1}{216} = 0.004629[/tex]

Answer:

I think it is A because B or D is not it so I was left with A and C. So I am pretty sure that is A.

Dora buys some T-shirts for $8.75 each and pairs of shoes for $27.50 each. If she buys 4 T-shirts, how much money would she have to spend in all

Answers

8.75*4=35  so $35 for shirts

and depending on how many shoes she buys but lets just say one pair

35+27.50= 62.50              so it would be a total of $62.50

$62.50

Step-by-step explanation:

4 shirts with each price $8.75 = 4 × $ 8.75= $ 351 pair of shoes with price = $ 27.50so total price = $ 35 + $ 27.50 = $ 62.50

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Determine the value of y, if x is-9.

Answers

Answer:

[tex]y=82[/tex]

Step-by-step explanation:

We know the value of x is -9 so we can plug it in as -9.

[tex]y=x^2+1\\y=(-9)^2+1\\y=81+1\\y=82[/tex]

Answer:

82=y

Step-by-step explanation:

-9 x -9 = 81

81 + 1 = 82

Help plsss!!!! Thnk you!!!!

Answers

Step-by-step explanation:

General quadratic equation: y = ax² + bx + c.

When x = 0, y = -3.

=> (-3) = a(0)² + b(0) + c, c = -3.

We now have y = ax² + bx - 3.

When x = 2, y = -4.

=> (-4) = a(2)² + b(2) - 3, 4a + 2b - 3 = -4,

4a + 2b = -1.

Our 1st system of equations is 4a + 2b = -1.

When x = 4, y = -3.

=> (-3) = a(4)² + b(4) - 3, 16a + 4b - 3 = -3,

16a + 4b = 0, 4a + b = 0.

Our 2nd system of equations is 4a + b = 0.

Now we solve the system of equations:

4a + 2b = -1

- (4a + b = 0)

=> b = -1

Hence 4a + (-1) = 0, 4a = 1, a = 1/4. (B)

What is the approximate area of the shaded region?

Answers

Answer:

196-49 pi

Step-by-step explanation:

diameter of circle is 14

radius-7

7^2=49

49 pi

14^2=area of square

196-49pi= area of shaded area.

Answer:

im pretty sure the area is 196

Step-by-step explanation:

because when finding the area of a rectangle/ square you use the formula Length * Width and as we can see the sides of the shaded are are equivalent and as we know the length of the shaded area is 14.

we would just plug in our information.

L*W

14*14= 196

A car travels at an average speed of 68 miles per hour. How many miles does it travel in 5 hours and 45 minutes?

Answers

Answer:

391.

Step-by-step explanation:

There is 60 minutes every hour, so you divide by 60. 68 / 60 = 1.1333333333.

Now, we have to find out how many minutes there are in 5 hours and 45 minutes. Since there is 60 minutes every hour, 6 x 5 + 45 = 300 + 45 = 345. 1.1333333333 x 345 = 390.9999999885, rounded = 391.

If 9 x 7 = 3545 and 4 x 3 = 1520 then 6 x 8 = ?

Answers

Answer:

4030 or 3040 I think 4030 though

Step-by-step explanation:

I think this is it but 6*8 is 48....I used a little logic so hopefully this is right

Answer:

4030

Step-by-step explanation:

if 9× 7 = 3545 then it 7 × 5, 9× 5 which gives 3545

4x3 = 3× 5, 4×5 which gives 1520

so 6× 8 will give 8×5, 6×5 = 4030

A lamp post with a height of 12 ft casts a shadow of 6 ft. A fire hydrant near it casts a shadow that is 1.5 ft long. How tall is the fire hydrant?

Answers

Answer:

3ft

Step-by-step explanation:

We are given that

Height of lamp, h=12ft

Height of shadow, l=6ft

Height of shadow of hydrant, l'=1.5ft

Let height of hydrant=h'

We have to find the height of fire hydrant.

All right triangles are similar

When two triangles are similar then, the ratio of their corresponding sides are equal.

Using the property

[tex]\frac{h}{h'}=\frac{l}{l'}[/tex]

[tex]\frac{12}{h'}=\frac{6}{1.5}[/tex]

[tex]h'=\frac{12\times 1.5}{6}[/tex]

[tex]h'=3[/tex]ft

Hence, the height of fire hydrant=3 ft

Find the area of the triangle.

Answers

Answer:

86.1yd

Step-by-step explanation:

area of a triangle= base*height/2

21*8.2=172.2

172.2/2=86.1

Answer:

86.1yd2

Step-by-step explanation:

area=1/2×b×h

a=1/2×21×8.2

a=86.1yd2

Calculate the area of a kite that has diagonals that measure 6 centimeters and 8 centimeters.

Answers

9514 1404 393

Answer:

  24 cm²

Step-by-step explanation:

When the diagonals of a quadrilateral cross at right angles, the area of it is half their product.

  A = (1/2)(d1)(d2)

  A = (1/2)(6 cm)(8 cm) = 24 cm²

The area of the kite is 24 square centimeters.

Sandra saves 7% of her salary for retirement. This year her salary was $2,000 more than her salary than in the previous year, and she saved $3,290. What was her salary in the previous year?
complete the equation 0.07( x+____) = 3,290
Sandras salary in the previous year was _____

Answers

9514 1404 393

Answer:

2,000$45,000

Step-by-step explanation:

Where x represents the previous year's salary, its amount this year is said to be ...

  x + 2000

The equation is trying to reflect the fact that 7% of that is $3,290. The missing number is 2000:

  0.07(x +2000) = 3290

__

Solving for x, we find ...

  x = (3290/0.07) -2000 = 45000

Sandra's salary the previous year was $45,000.

it’s sad when I help people because they don’t do the same for so pls... answer me once:((((((((((((((((((((((((((((((((((((((

Answers

16 model airplanes on his shelf

4 times as many model airplanes as model trains

let's denote the number of model trains as m

So,

m=16×4

m=64

Therefore,there are 64 model trains.

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Factorise fully
X^2 - 25​

Answers

Answer:

(x+5)(x-5)

Step-by-step explanation:

x^2-25 = x^2 - 5^2 = (x+5)(x-5)

rule: a^2 - b^2 = (a+b)(a-b)

Please I need help.
Find the measure of the angle DCB in the rhombus ABCD.

Answers

Answer:

53

Step-by-step explanation:

its the same to DAB because it is in the opposite side to the DAB

Answer:

Step-by-step explanation:

In Rhombus, diagonals are angle bisectors.

So, ∠DAC = ∠CAB

∠A = ∠DAC+∠CAB

    = 53 + 53

∠A = 106

In Rhombus, opposite angles are equal.

∠DCB = ∠A

∠DCB = 106°

The square root of y^3 simplified

Answers

Answer:

(√y)3

Step-by-step explanation:

What is the length of one side of this regular pentagon if the area is 50 and apothem is 4?

Answers

Answer:

5

Step-by-step explanation:

i took the test

The required length of one side of the given regular pentagon is  5 units.

What is a polygon?

Polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,

Examples of polygons, equilateral triangles, squares, pentagons, etc

Here,
We can use the formula for the area of a regular pentagon to solve for the length of one side,
Area = (1/2) * Perimeter * Apothem

Since the pentagon is regular, all sides are equal, so we can write:

Perimeter = 5 * Length of one side

Substitute in the first expression

50 = (1/2) * 5 * Length of one side * 4

50 = 10 * Length of one side

Length of one side = 5

Learn more about polygon here:
https://brainly.com/question/24464711
#SPJ2

Question:
A soccer ball has a radius of 11 cm. What is the volume of the soccer ball in cubic centimeters? Use 3.14 for pi. Round your
answer to the nearest hundredth.

Answers

Answer:

V = 4/3 * pi * radius^3

 = 4/3 * 22/7 * 11*11*11 = 117128/21 = 5577.5238092.....

Step-by-step explanation:

please help! give the answer in simplified form

Answers

5. 8:21
You do 21-13 to get 8
6. 26:1

Answer:

5a. 8:21

6a. 26:1

PLEASE HELP ASAP
Jonathan has a rectangular rug with whose length is 5 inches less than its width. The area of the rug is 36 square inches

Answers

The width would be 9 inches and the length is 4 inches

This is a 2 part question! Use this information for the open-ended question that follows.

Valery and Manuel ride their bikes 40 miles every Saturday. Valery rides at an average speed of 9.6 miles per hour (mph).

Valery increases her speed by 4% the next time she rides her bike. Her goal is to ride faster than Manuel.

Is the 4% increase enough to ride faster than Manuel? yes or no.

As part of your explanation, identify Valery's new speed. Then explain why or why not she met her goal.

Answers

Answer:

ok for the first part of the question This is a 2 part question! Use this information for the open-ended question that follows.

Valery and Manuel ride their bikes 40 miles every Saturday.  Valery rides at an average speed of 9.6 miles per hour (mph).

a) EXACTLY how many hours does it take Valery to ride her bike 40 miles?

ANSWER (A) 4.17

b) Use this graph below to identify what Manuels average speed is:

ANSWER (B) 10 mph

I don't know the open ended question

Please help me solve this

Answers

Answer:

Q. 11 x=29

Q. 12 x=24

Step-by-step explanation:

Q.11

sum of all sides of triangle = 180°

(2x+20)+(x+10)+(2x+5)=180°

5x+35=180°

5x=180°-35

5x=145°

x=145/5

x=29°

Q.12

sum of all sides of triangle=180°

96+(2x)+(x+12)=180°

3x+108=180°

3x=180-108

3x=72

x=72/3

x=24

What he said is correct

Rodeny rented a machine for $70.00 to make popcorn at a school event.In addition to the machine rental cost, the popcorn supplies cost him $0.15 per bag sold.Rodeny sold the popcorn for $1.00 per bag. How much profit did Rodeny make If he sold 200 bags of popcorn.

Answers

Answer:

100$

Step-by-step explanation:

he profit from 1 popcorn=0.85$

from 200=170$

170$-70$=100

9° TERMINO DE 7.10.13​

Answers

Answer:

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Answer:

Evaluate

18 ER TM×2,130

What is the cross product of 1/4 = 5/20?

Answers

THhe cross product is found by multiplying the numerator (top number) of one fraction by the denominator (bottom number) of the other fraction.

1/4 = 5/20

1 x 20 = 20

4 x 5 = 20

The cross product is 20

Answer:

20

Step-by-step explanation:

1 x 20 = 20

4 x 5 = 20

Hope that helps!

13
Calculate a, b and m so that the
polynomials P and Q defined by :
P(x) = (m - 2)x2 + (2a + 3)x +b +6 and
Q(x) = 3x2 - (m - 2)x + 2a - 3 , are equal.​

Answers

Answer:

m = 5

a = -3

b = -15

Step-by-step explanation:

(m - 2) = 3 for x^2

(2a + 3) = - (m - 2) = (2 - m) for x^1

(b + 6) = (2a - 3) for x^0

Please help
A school fundraiser sells holiday cards and wrapping paper. The school is trying to raise at least $400. It makes a profit of $2.50 on each box of holiday cards and 80% of the profit on each holiday box on each pack of wrapping paper. Write an inequality that represents the situation where x is the number of holiday boxes sold and y is the number of packs of wrapping paper sold.

x=
y=
Holiday Cards Profit:
Key word(s):
Linear Inequality:

Answers

Answer:

2.50x+80>4.00

Step-by-step explanation:

The ratio of the length to the width the official german flag is 5:3.Sanda is making 12 german flags for a cuiture show.Each flag she makes has a length of 20 centimeters . It takes her 4 hours to make all the flag. What is the width of each flag and the average amount of time it takes sandra to make each flag?

Answers

Answer: The width of each flag = 12 cm

The average amount of time it takes Sandra to make each flag =  20 minutes.

Step-by-step explanation:

Given: The ratio of the length to the width the official german flag is 5:3.

Let length = 5x, width = 3x

Length of each flag = 20 cm

i.e. [tex]5x=20\Rightarrow\ x=\dfrac{20}{5}=4\text{ cm}[/tex]

Then width of each flag = 3 x 4 = 12 cm

i.e. width of each flag = 12 cm

Total time to make 12 flags = 4 hours

Time taken to make 1 flag = [tex]\dfrac{4}{12}[/tex] hour

Time taken to make 1 flag = [tex]\dfrac{1}{3}[/tex] hour

1 hour = 60 minutes

Time taken to make 1 flag = [tex]\dfrac{1}{3}\times60[/tex] minutes = 20 minutes.

Hence, the average amount of time it takes Sandra to make each flag =  20 minutes.

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