Miguel finished his English assignment in 1/3 hours. Then he completed his history assignment in
3/5 hours. What was the total amount of time Miguel spent doing these two assignments?
Write your answer as a fraction in simplest form.

Answers

Answer 1

Answer:

14/15

Step-by-step explanation:

Answer 2

Th total amount of time Miguel spent doing the two assignments is 14/15 hours.

To find the total amount of time Miguel spent doing the two assignments,  to add the time it took for each assignment.

Miguel spent 1/3 hours on his English assignment and 3/5 hours on his history assignment.

To add these fractions,  to have a common denominator. The least common multiple (LCM) of 3 and 5 is 15.

Converting the fractions to have a denominator of 15:

1/3 = 5/15 (multiply numerator and denominator by 5)

3/5 = 9/15 (multiply numerator and denominator by 3)

Now add the fractions:

5/15 + 9/15 = 14/15

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Related Questions

James has a total of 66 dollars in his piggy bank. He only has one dollar bills and two dollar bills in his piggy bank. If there are a total of 49 bills in James's piggy bank, how many one dollar bills does he have?

Answers

He has 32 1 dollar bills and 17 2 dollar bills I THINK

32 + 17 = 49 and 32 + 17(2) = 66

Answer:

32 one-dollar bills

Can someone help me pls

Answers

Answer:

b= 4

Step-by-step explanation:

b-1.6= 2.4

I would add 1.6 to both sides so that b could be on one side. The opposite of -1.6 is 1.6, so b-1.6+ 1.6= 2.4

b= 2.4+ 1.6

Since -1.6+1.6 cancel out, I get b= 2.4+1.6. I add 2.4+ 1.6 to get 4.

b=4

So, b= 4

To check my work I would plug in b back into the equation:

So...

b=4

b-1.6= 2.4

4-1.6= 2.4

Answer:

B=4

Step-by-step explanation:

Hope it will help you!

Initially, the ratio of Alex’s toy cars to Pete’s toy cars was 7:3. After Alex gave 20 toy cars to Pete, they had each an equal number of cars. How many toy cars did they have altogether?

Answers

pete 23 cars alex 23 alex gains 16 cars then 23 plus 23 equals 46

Answer:

100

Step-by-step explanation:

What is the surface area of the triangular prism?
A triangular prism. The rectangular sides are 20 feet by 3 feet, 20 feet by 4 feet, and 20 feet by 5 feet. The triangular sides have a base of 3 feet and height of 4 feet. [Not drawn to scale]

152 square feet
172 square feet
252 square feet
264 square feet

Answers

Answer:

252

Step-by-step explanation:

I think I may be wrong

The surface area of the triangular prism is: 252 square feet

What is a triangular prism?

A triangular prism is a solid three-dimensional shape with three rectangles and two triangles.

Analysis:

Surface area of triangular prism = area of 3 rectangles + area of two triangles

Surface area = 20 x 4 + 20 x 5 + 20 x 3 + 2 x ( 1/2 x 3 x 4) = 252 square feet

In conclusion, the surface area of the triangular prism is 252 square feet.

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For what values of k the relation R:{(k2 , 5), (3k, 6)} is not a function?

Answers

Answer:

[tex]k=0[/tex] and [tex]k=3[/tex].

Step-by-step explanation:

To this relation be a function, the horizontal coordinates can't be equal. So, let's find the value of [tex]k[/tex] that makes those coordinates equal.

[tex]k^{2}=3k\\ k^{2}-3k=0\\k(k-3)=0\\[/tex]

Using the null factor property, we have

[tex]k=0\\k-3=0 \implies k=3[/tex]

Therefore, the given relation is not a function when [tex]k=0[/tex] and [tex]k=3[/tex].

PLS HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

c

Step-by-step explanation:

because its 0=>-4

which means 0-4

and then its -4-6

which is -10

Angles y and z are complimentary. If angle y is 18°, what is the measure of angle z?


18°


36°


72°


162°



Answers

Answer:

z = 72°

Step-by-step explanation:

Complimentary angles sum to 90° , thus

z + y = 180, that is

z + 18 = 90 ( subtract 18 from both sides )

z = 72°

So the right answer is 72 degree.

Look at the attached picture

Hope it will help you

Good luck on your assignment

5. Cameron found the volume of the cone below, but when he double-

checked his work, he got a different solution. Determine which solution

best represents the volume of the cone.

TRY #1

169.6 in 3

TRY #2

56.5 in 3

Answers

Answer:

Try 2 is correct

Step-by-step explanation:

See attachment for dimension of cone.

From the attached,

The diameter of the cone, d = 6 in

The height of the cone, h = 6 in

The volume of a cone is calculated as thus

Volume = ⅓πr²h

So, we need the value of r.

r represents radius and

r = ½d

r = ½ * 6

r = 3.

So,

Volume = ⅓πr²h becomes

Volume = ⅓ * π * 3² * 6

Volume = π * 3 * 6

Volume = π * 18

Volume = 18π

Take π as 3.14

So,

Volume = 18 * 3.14

Volume = 56.52 in³

Given that

Try 1 = 169.6 in³

Try 2 = 56.5 in³

We can conclude that Try 1 is incorrect and Try 2 is correct

The line represented by the equation 3x + 5y = 2 has a slope of negative StartFraction 3 Over 5 EndFraction.. Which shows the graph of this equation?

Answers

Answer:2/5

Step-by-step explanation:

Answer:

I think its B...not completely sure though

Step-by-step explanation:

The freezing point of water is 0°C. Imani's refrigerator is set at 4°C, and her freezer is set at
-19°C. Which change in temperature would bring Imani's refrigerator or her freezer to the
same temperature as the freezing point of water?
-
-19°C
+23°C
-4°C
+15°C

Answers

Answer: +23

Step-by-step explanation:

It would be 23 because the difference between -19 and 4 is 23

Answer:

+23

Step-by-step explanation:

I took the test and my teacher helped me and told this was the right answer.

PLZ HELP I WILL GIVE BRAINLIEST....


1.) The population of a certain city decreased by 10,000 people.
Write a signed number to represent this population change.

2.) A car corporation produced 520 fewer cars this month than last.
Write a signed number to represent this month's change in production

Answers

Step-by-step explanation:

1. A decrease means that the 10,000 will be negative, and therefore the answer is -10,000.

2. Fewer means a decrease, and a decrease means that the 520 will be negative. The answer is -520.

Hope this helps!

PLS HELP ASAP
Simplify: (8)2(2)3/(4)3(-2)4 ( the numbers outside the parentheses are to the power to for example the first 2 numbers are 8 to the power of 2)
A) 1/2


B) 2/3


C) 2/9


D) 3/4

Answers

Answer:. 1/2

Step-by-step explanation: Different ways to get this.

PEMDAS: figure 8 squared is 64 and 2 cubed is 8. Multiply to get 512 in the numerator.

Figure 4 cubed is 64 and (-2)^4=16. Multiply to get 1024 in the denominator. Simplify to 1/2

You could express all the factors as 2 to some power then add and subtract the exponents.

2^6 •2^3=2^9. Over

2^6 • 2^4 = 2^10. Subtract exponents. 2 to the -1 power is 1/2.

Parallel lines x and w are cut by transversals z and y and form 4 angles at each intersection. Where line x intersects with line z, labeled clockwise, from the uppercase left, the angles are: 1, 4, 3, 2. Where line w intersects with line z, the angles are: 5, 75 degrees, 7, 6. Where line x intersects with line x, the angles are: 13, 16, 15, 14. Where line w intersects line y, the angles are: 9, 12, 11, 10. What is m∠2? ° What is m∠1? °

Answers

Answer: angle 2 is 75 degrees and angle 1 is 105 degrees

Step-by-step explanation:

Answer:

75 and 105

Step-by-step explanation:

A retail shop is replacing their flooring
with laminate wood. The floor plan is shown
below. Determine the total square feet of
laminate wood needed to complete the the job.
25 ft
8 ft
5 fi
25 ft
35 ft

Answers

Answer:

1075 ft

Step by step:

25*35 = 875

8*25 = 200

875+200 = 1075

answer my question and i will mark you as brainliest its that easy answer

Answers

Answer:

13 degrees

Step-by-step explanation:

85 and A are opposite hence equal so A = 85

98 and C are equal because they are corresponding angles hence C = 98

B and C are in a straight line so they add up to 180

B = 180-98 = 82

Finally, A and B and X add to 180 because they for a triangle

X+85+82 = 180

X= 13 degrees

Solve the system of equations below.
5.1 – 2y=18
3.x+3y=15

Answers

Answer: y= -6.45 and y=5-x

Step-by-step explanation:

Subtract 5.1 from both sides.

-2y= 18-5.1

Simplify 18- 5.1 to 12.9

-2y=12.9

Divide both sides by -2

y= - 12.9/2

Simplify 12.9/2 to 6.45

y=-6.45

Factor out the common term 3.

3(x+y)=15

Divide both sides by 3.

x+y =15/3

Simplify 15/3 to 5.

x+y = 5

Sub. x from both sides

y= 5-x

Find the value of x in the diagram below. Show your work.

Answers

Answer:

x=35

Step-by-step explanation:

the litle square inside of the half circle means its the angle of 90

so just do like that:

90=x+(4x-85)

and u have the answer x=35

What is the next term in the arithmetic sequence? 9, 17, 25, 33, ...

Answers

Answer:

41

Step-by-step explanation:

Add 8 every time.

(10 + 3x) = 5x
Solve please

Answers

Answer:

x=5

Step-by-step explanation:

10 +3x = 5x

Subtract 3x from each side

10+3x-3x= 5x-3x

10 =2x

Divide each side by 2

10/2 = 2x/2

5 =x

Does anyone know the answer?

Answers

Answer:

12

Step-by-step explanation:

a2+b2=c2 since the hypotenuse is 13 you would square it to get 169 and then you would square 5 and get 25 you would subtract 169-25 and get 144 then you would square root that number and get 12 so then your answer is 12 in.

Please answer CORRECTLY !!!!!! Will mark brainliest !!!!!!!!!

Answers

Answer:

a= 13+3b

Step-by-step explanation:

Simplifying

a + -7 = 3(b + 2)

Reorder the terms:

-7 + a = 3(b + 2)

Reorder the terms:

-7 + a = 3(2 + b)

-7 + a = (2 * 3 + b * 3)

-7 + a = (6 + 3b)

Solving

-7 + a = 6 + 3b

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '7' to each side of the equation.

-7 + 7 + a = 6 + 7 + 3b

Combine like terms: -7 + 7 = 0

0 + a = 6 + 7 + 3b

a = 6 + 7 + 3b

Combine like terms: 6 + 7 = 13

a = 13 + 3b

Simplifying

a = 13 + 3b

Rewrite the expression in an equivalent form that uses a single exponent

(10^{2} )x^{-3}

Answers

Answer:

simply simplify

[tex]\frac{100}{x^{3} }[/tex]

You have 13 gallons of lemonade to sell. You use cone-shaped cups that are 7 centimeters in diameter and 11 centumeters tall. Each customer uses one paper cup. How many paper cups will you need if you sell all of the lemonade?

Answers

I need to finish tutorial

What is the relation between the variables in the equation ?

a.
varies inversley as y
c.
y varies directly as
b.
varies directly as y
d.
y varies inversely as




Answers

I think it’s b. Varies directly as y but I’m not exactly sure so try searching it up If that helps

Which expression is equivalent to x1/3

Answers

Answer:

1/3y(y + 12) - 12.

Pretty sure it's 1/3y(y + 12) - 12. I'm pretty sure I got it wrong tho.

Factor 36+12x+x^2

as the product of two binomials

Answers

Answer:

(x+6) (x+6)

(x+6)^2

Step-by-step explanation:

36+12x+x^2

x^2 +12x +36

What 2 numbers multiply to 36 and add to 12

6*6 = 36

6+6 =12

(x+6) (x+6)

(x+6)^2

Answer:

(x+6) (x+6)

Step-by-step explanation:

1. Factor this quadratic function:2x2 + 12x +16

Answers

Answer:

4 (3x + 5)

Step-by-step explanation:

Simplify

4 + 12x +16

Simplify

12x + 20

Factor

4 (3x + 5)

Answer:

[tex]2(x+4)(x+2)[/tex]

Step-by-step explanation:

We can start with the observation that every coefficent in the quadratic [tex]2x^2 + 12x +16[/tex] is a multiple of 2. Factoring out the 2, our expression becomes [tex]2(x^2+6x+8)[/tex]. Let's focus on the second term, [tex]x^2+6x+8[/tex]. To factor this, we want to find two numbers that multiply to 8 and add to 6. 4 · 2 = 8 and 4 + 2 = 6, so we can use that fact to split the middle term and factor the quadratic completely:

[tex]x^2+6x+8\\=x^2+2x+4x+8\\=x(x+2)+4(x+2)\\=(x+4)(x+2)[/tex]

Putting that back with the 2 we factored out earlier, our fully factored function is

[tex]2(x+4)(x+2)[/tex]

question below, pls help, IF YOU ANSWER RIGHT: BRAINLIEST THANK YOU!

Answers

Answer:

[tex](x+\boxed{6.5})^2=\boxed{18.25}[/tex]

Step-by-step explanation:

[tex]x^2+11x+24=0\\\\(x^2+11x+42.25)-42.25+24=0\\\\(x^2+11x+42.25)-18.25=0\\\\(x+6.5)^2-18.25=0\\\\(x+6.5)^2=18.25[/tex]

Hope this helps!

Volume8cm what is side lengths

Answers

Answer:

length: 2

width: 2

height: 2

Step-by-step explanation:

I'm assuming this is for a rectangular prism, because you didn't provide a picture.

The volume of a cone is 410.3 mm and has a radius of 7 mm. What is the height of the cone? Round to the nearest hundredths

Answers

Answer:

8

Step-by-step explanation:

h=3V

πr2=3·410.3

π·72≈7.99607

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