Solve the equation. \dfrac13 + a = \dfrac54 3 1 ​ +a= 4 5 ​ start fraction, 1, divided by, 3, end fraction, plus, a, equals, start fraction, 5, divided by, 4, end fraction a=a=

Answers

Answer 1

Answer:

11/12

Step-by-step explanation:

Given the expression 1/3 + a = 5/4

Subtract 1/3 from both sides

1/3 + a - 1/3 = 5/4 - 1/3

a = 5/4 - 1/3

a = 15-4/12

a = 11/12

Hence the value of x is 11/12


Related Questions

What is the length of the hypotenuse?

A. 10
B. 14
C. 48
D. 100

Answers

Option A= 10

Process

Using Pythagoras Theorem,

8²+6²= (hypotenuse)²

64+36= (hypotenuse)²

(hypotenuse)²= 100

hypotenuse= √100

hypotenuse= 10

So Option A= 10

Hope This Helps You ❤️

Answer:

The hypotenuse is A. 10.

Step-by-step explanation:

To find the length of hypotenuse we can use  the pythagoras theorem formula:

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]=>6^{2} +8^{2} = c^{2}[/tex]

[tex]=> 36 + 64 = c^{2}[/tex]

[tex]=> 100 =c^{2}[/tex]

[tex]=> c = \sqrt{100}[/tex]

∴ [tex]c[/tex] [tex]= 10[/tex]

a dice cube has 6 sides that are numbered 1-6. If the cube is thrown once, what is the probability of rolling an odd number?

Answers

Answer:

3/6 or 1/2

Step-by-step explanation:

1, 2, 3, 4, 5, 6

3 odd #s and 3 even #s

3/6 are odd which means 3/6 probability of rolling an odd #

Answer:

1/2

Step-by-step explanation:

There are 3 odd numbers 1,3,5 so 3/6 which equals 1/2

:DDDDD

when did the united states get it independence​

Answers

Answer:

4th July 1776

Step-by-step explanation:

4th July is marked as independence day

In 1776 ...................

A rectangle has an area of 4y^2 – 49 square units. What are the dimensions of the rectangle?

A) (2y – 7) units by (2y – 7) units

B) (4y – 49) units by (y + 1) units

C) (2y – 7) units by (2y + 7) units

D) (y – 7) units by (4y + 7) units

Answers

The dimensions of the rectangle are (2y – 7) units by (2y + 7) units

Area of a rectangle

The formula for calculating the area of a rectangle is expressed as

Area = length * width

Given the following parameter

Area = .4y² - 49

Factorize the area

Area = (2y)² - 7²

Using the difference of two square

Area = (2y - 7)(2 y + 7)

Hence the dimensions of the rectangle are (2y – 7) units by (2y + 7) units

Learn more on area of rectangle here: https://brainly.com/question/25292087

#SPJ1

Two dice are rolled simultaneously and the difference of the numbers are
found.
(a) Draw a table to show all the possible outcomes after the rolling of the two
dice.

Answers

Answer:

Step-by-step explanation:

you can draw a table that has 7 rows and 7 columns, put the 6 numbers and their difference( 1-1=0, 1-2= -1, 1-3= -2,...)

-       1      2     3    4    5    6

1      0      1      2    3    4    5

2    -1      0      1     2    3    4

3    -2     -1     0     1     2    3

4    -3     -2    -1     0     1    2

5    -4     -3    -2    -1     0    1

6    -5    -4     -3    -2    -1   0

margo has 6 square tiles of equal size. each side of each tile is 0.8 inch long. if margi places all the tiles in a row with sides touching, how long is the row?

Answers

༆PROBLEM:

—————————————————

Margi has 6 square tiles of equal size. each side of each tile is 0.8 inch long. If Margi places all the tiles in a row with sides touching, how long is the row?

༆SOLUTION:

—————————————————

[tex]\mathrm{N = 6×0.8 \: inch}[/tex]

[tex]{\boxed{\mathrm\green{N = 4.8 \: inch}}}[/tex]

༆ANSWER:

—————————————————

[tex]\purple{\boxed{\boxed{\tt\pink{➢4.8 \: inch}}}}[/tex]

If Margi places all the tiles in a row with sides touching, the row will be 4.8 inch long!

PLEASE HELP ME ASAP!! What is the value of x in simplest radical form? х 13 84

Answers

Answer:

x =2[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Use pythag to create your equation.

x^2+5^2=7^2

x=[tex]\sqrt{24}[/tex]

In simplest radical form: x =2[tex]\sqrt{6}[/tex]

Triangle EFG is similar to triangle HIJ. Find the measure of side IJ. Round your answer to the nearest tenth if necessary.

Answers

Answer:

50.3

Step-by-step explanation:

11/7 = x/32

7x=352

50.28

50.3

I don’t know how to do this

Answers

Answer:

x-10

Step-by-step explanation:

Sophie caught twice as many fish as her
dad. If her dad caught Ffish, how many
fish did Sophie catch?
A. F + 2
B. F-2
C. Fx 2
D. F/2

Answers

Answer:

C. F × 2

Step-by-step explanation:

Twice as many infers multiplication. Since Sophie caught twice as many as her dad, then we would multiply the number of her dad's caught fish by 2. The question states her dad's caught fish is represented by variable F so it would be:

F × 2

PLS HELP ILL MARK BRAINLIST

Answers

Answer:

76 m²

Step-by-step explanation:

The figure has been decomposed into 3 rectangles as shown in the attachment. Therefore:

Area of the figure = area of rectangle 1 + area of rectangle 2 + area of rectangle 3

✔️Area of rectangle 1:

Area = L*W

L = 2 m

W = 4 m

Area = 2*4 = 8 m²

✔️Area of rectangle 2:

Area = L*W

L = 4 m

W = 6 - 4 = 2 m

Area = 4*2 = 8 m²

✔️Area of rectangle 3:

Area = L*W

L = 10 m

W = 6 m

Area = 10*6 = 60 m²

✅Area of the figure = 8 + 8 + 60

= 76 m²

sr nie wiem o co chodzi ale muszę to zrobić do 18 pani od korków mi tak przysłała lol. DAJE NAJ !!!

Answers

Answer:

(1/2)^2= 0.25 thank you

Hikers set up camp at 5,200 feet on
Guadalupe Peak. They plan to reach
the summit at 8,750 feet by hiking
equal distances cach day for the
next 5 days. Which number line
represents the distance, in feet, they
must hike each day to reach the
summit?

Answers

Answer:

710 ft

Step-by-step explanation:

8750 - 5200 = 3550

3550 / 5 = 710

What are the solutions of the equation (x – 8)2 = 144?

Enter your answer as the correct values, separated by a comma, like this: 42,53

If your answer includes a fraction, use the / symbol.
enter it like this: 3/14

Answers

[tex]x = 80[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex](x - 8)2 = 144 \\ ⇢ 2x - 16 = 144 \\ ⇢ 2x = 144 + 16 \\ ⇢ 2x = 160 \\ ⇢ x = \frac{160}{2} \\ ⇢ x = 80[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{To\:verify }}{\orange{:}}}}}[/tex]

[tex]2x - 16 = 144 \\ ➵ \: 2 \times 80 - 16 = 144 \\ ➵ \: 160 - 16 = 144 \\ ➵ \: 144 = 144 \\ ➵ \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Find the measure of the missing angle.
123*
HELP ASAP

Answers

Answer:

57 degrees

Step-by-step explanation:

A line is always 180 degrees so you just subtract 123 from 180 which is 57

You borrow $225 for eight years of an interest rate of 6%. How much interest will you pay after eight years?

Answers

Answer:

You will pay $13.50 in interest and end up paying $238.50 total after the eight years

Step-by-step explanation:

225 x 0.06 = 13.5

225 + 13.5 = 238.5

Answer:

you pay 108 dollars after 8 years

23/147 yd × 3/14 after reducing them by a factor of 2/147 what are the original dimensions of the playground in yards? Write your answer with mixed numbers

Answers

Answer:

So the dimensions are 11 1/2 yds × 15 3/4 { 11 whole number 1 by 2 yards multiplied by 15 whole number 3 by 4}

Step-by-step explanation:

Here multiplicative property will be used .

a*1/a= 1

1* a/1= a   ( reciprocal)

23/147 yd × 3/14 will be multiplied with the reciprocal of the factor 2/147 to

get the original number.

23/147 yd*147/2 × 3/14*147/2

23/2 yds  × 441/28

11 1/2 yds × 15 3/4

So the dimensions are 11 1/2 yds × 15 3/4  11 whole number 1 by 2  multiplied by 15 whole number 3 by 4.

A gardener has a rectangle garden with an area of 374 yd.²The length of the garden is 17 yards the gardener wants to enlarge the garden by doubling only the width of the current garden how much fencing will the gardener need to enclose a new garden?

Answers

Answer:

105 yards

Step-by-step explanation:

The other side is Width = 374/17 = 22.

So, the new width is 44 ( and the length is 17/2).

Perimeter = 2(17/2) + 2(44) = 17+88=105 yds.

So, 105 yards.

Mark me as Brainliest if this is correct! I really appreciate it! :D

The perimeter of the new garden is 105 yards

The area of a rectangle is expressed as:

A = lw

w = A/l

w = 374/17

w = 22 yards

The perimeter of the new garden if the width is doubled is expressed as:

P = 2(l + w)

P = 2(17/2 + 2(22))

P = 17 + 88

P = 105 yards

Hence the perimeter of the new garden is 105 yards

Learn more on perimeter of rectangle here: https://brainly.com/question/19819849

What is the length of a leg of a right triangle if the hypotenuse is 9 inches and the other leg is 8 inches.

Answers

Answer:

√17 or 4.12 inches

Step-by-step explanation:

√9²-8²=√81-64=√17 inches

or 4.12 inches

what is the slope of the line that passes through the points (3,-20) and (5,8)?

Answers

Answer:

14

Step-by-step explanation:

The equation to find slope is [tex]\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]. You plug in the values to get [tex]\frac{8-(-20)}{5-3}[/tex]. This simplifies to [tex]\frac{28}{2}[/tex], which is 14.

When graphing the coordinate (3,4) you would...

A. first move 3 coordinates up the y axis and then 4 coordinates over the the x axis

B. first move 3 coordinates over on the x axis and then 4 coordinates up the y-axis

Answers

The answer is B

You would first move 3 coordinates over on the x axis and then 4 coordinates up the y axis.

(6x2 -5x + 10) - (2x2 -x +13)

Answers

Answer:

-4x + 5 ?

sorry if wrong

Can someone help me with this

Answers

Answer:

∡J and ∡K are complementary

Step-by-step explanation:

since ∡L is a right angle, that means it measures 90 degrees

since there are a total of 180 degrees inside a triangle, angles J and K must add up to 90 which means they are complementary

Find the value of x.

Answers

Answer:

70.86 degrees

Step-by-step explanation:

cos x = adjacent side / hypotenuse

= 2/6.1 = 0.32787

x = 70.86.

Answer:

x ≈ 70.9°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{2}{6.1}[/tex] , then

x = [tex]cos^{-1}[/tex] ([tex]\frac{2}{6.1}[/tex] ) ≈ 70.9° ( to 1 dec. place )

Unit 9 test: Trigonometry
What is the right answer to this problem?

Answers

Answer:

x = 10.5

Step-by-step explanation:

[tex]cos 65 =\frac {adjacent}{hypotenuse} \\\\0.4226 = \frac{x}{25}\\\\0.4226 \times 25 = x \\\\x = 10.565[/tex]

Answer:

Step-by-step explanation:

take 65 degree as reference angle

using cos rule

cos 65=adjacent/hypotenuse

0.42=x/25

0.42*25=x

10.5=x

What is the sum of the interior angles of the polygon shown below?

Answers

Answer:

540 degrees

Step-by-step explanation:

The formula to find the sum of interior angles in any polygon is the following:

[tex]S=180(n-2)[/tex]

Where (n) represents the number of sides in the polygon. In this case, the polygon has (5) sides, therefore substitute (5) in place of (n) and solve;

[tex]S=180(n-2)\\\\S=180(5-2)\\\\S=180(3)\\\\S=540[/tex]

help me with C please

Answers

Answer:

your answer is going to be b Find the product of A and B

Step-by-step explanation:

Hmmm the answer will be in total 45-80 witch equals your mom

Please I need help and can you explain as well because I have to show my work

Answers

Answer:

b and c

Step-by-step explanation:

0.775 is bigger than .7 or .70

17/22 is 0.772 or 77.2 which is smaller than 0.775 or 77.5

Hope this helped <3

PLEASE HELP, THANKS SO MUCH!! EXPLAIN UR ANSWER = BRAINLIEST

Answers

Answer:

2571.14 m^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

The diameter is 17 so the radius is 1/2 of the diameter or 17/2 =8.5

V = 4/3 (3.14) (8.5)^3

 = 2571.13666

Rounding to the nearest hundredth

 = 2571.14 m^3

Answer:   2571.14

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

Work Shown:

V = (4/3)*pi*r^3

V = (4/3)*3.14*(8.5)^3

V = 2571.13666666667 which is approximate

V = 2571.14

-------------

Notes:

The units for the volume are in cubic meters, or m^3. Think of a 1 m by 1 m by 1 m block, the volume of which is 1*1*1 = 1 m^3.The diameter is 17 meters, half of which is 17/2 = 8.5 meters. So the radius is r = 8.5In the second to last line, the '6's go on forever. It's only due to rounding is why that '7' shows up.The answer above is approximate because pi = 3.14 is approximate. Use more decimal digits in pi to get a more accurate volume. However, your teacher wants you to use pi = 3.14

What is the volume of a hexagon of 6.2 cm 9 cm and 5cm ?

Answers

Multiply the 2 numbers
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