solve for t in the proportions

t/3 = 5/1

t= ?

Answers

Answer 1

Answer:

t = 15

Step-by-step explanation:

[tex] = > \frac{t}{3} = \frac{5}{1} [/tex]

On cross multiplication,

[tex] = > t \times 1 = 5 \times 3 \\ = > t = 15[/tex]

Hope you've understood the solution.

Answer 2

Answer:

[tex]\boxed{\sf{t=15}}[/tex]

Step-by-step explanation:

In proportions, you need to isolate t on one side of the equation.

Given:

[tex]\sf{\dfrac{t}{3}=\dfrac{5}{1} }[/tex]

[tex]\Longrightarrow: \sf{\dfrac{t}{3}=5}[/tex]

First, multiply by 3 from both sides.

[tex]\sf{\dfrac{3t}{3}=5*3}[/tex]

Solve.

Multiply the numbers from left to right.

5*3=15

Solutions:

[tex]\Longrightarrow: \boxed{\sf{t=15}}[/tex]

Therefore, the final answer is t=15.

I hope this helps. Let me know if you have any questions.


Related Questions

does the equation 2x+ 3y=-6, 4x+6y=-12 have infinetley many solutions

Answers

Answer:

Yes it has infinity of solutions.

Step-by-step explanation:

If you plug in certain numbers it will make the statements true.

Answer:

Infinitely many solutions.

Step-by-step explanation:

Let's solve your system by substitution.

2x+3y=−6;4x+6y=−12

Step: Solve2x+3y=−6for x:

2x+3y=−6

2x+3y+−3y=−6+−3y(Add -3y to both sides)

2x=−3y−6

2x/2 = −3y−6/2

(Divide both sides by 2)

x= −3/2y−3

Step: Substitute −3/2y−3 for x in 4x+6y=−12:

4x+6y=−12 4(−3/2y−3)+6y=−12

−12=−12(Simplify both sides of the equation)

−12+12=−12+12(Add 12 to both sides)

0=0

Answer:

Infinitely many solutions.

The radius of a circle is 2 yards. What is the circle's area? r=2 yd Use 3.14 for ​.

Answers

Answer:

12.56

Step-by-step explanation:

pi(r)^2

3.14(2)^2

12.56

A/8 = 3/4 what is the value of A​

Answers

Answer:

6

Hope This Helps! :)

6!

hope this helps you!

Kaitlynn needs 3 pounds of fruit for a salad.
She already has 34 pound of apples and 13 pound of grapes.

How many more pounds of fruit does she need to buy?

Answers

If you mean .34 lbs and .13lbs, she would need 2.53
If you meant .34 and 1.3 lbs , she would need 1.36
If actually mean 34 lbs and 13lbs , Kaitlynn has way more than 3 lbs

i need help ................

Answers

Answer:

The answer is B) 40 yards for $45.00

Step-by-step explanation:

Options:

A) 20 yards per $30.00

B) 40 yards per $45.00

C) 50 yards per $70.00

C) 65 yards per $85.00

Think if buying something at the lowest cost which gives more.

1 yard per $1.00, sounds like a good deal.

20 yards per $30.00 which mean $10.00 more.

40 yeards per $45.00 which mean $5.00 more.

50 yards per $70.00 which mean $20.00 more.

65 yeards per $85.00 which mean $25.00 more.

find the area of this triangle, round to the nearest tenth. I will give brainliest

Answers

Answer:

108.8yd²

Step-by-step explanation:

Area of a Side Angle Side triangle : Area = 1/2 ( a × b ) × sin(c)

where a and b = the side lengths and c = the angle

Here the given side lengths are 23yds and 9.5yds and the angle given has a measure of 85° so a = 23, b = 9.5 and c = 85

Area = = 1/2 ( a × b ) × sin(c)

a = 23 , b = 9.5 and c = 85

Area = 1/2 ( 23 × 9.5 ) × sin(85)

==> multiply 23 and 9.5

Area = 1/2 ( 218.5 ) × sin(85)

==> multiply 1/2 and 218.5

Area = 109.25 × sin(85)

==> multiply sin(85) and 109.25

Area = 108.8yd²

Note: When the triangle is not a right triangle ( when there is no 90° angle ) we have to use a special formula in order to find the area. Here this is given a side an angle and a side, when given a side an angle and another side you can solve using the formula Area = 1/2 ( a × b ) × sin(c)


can anyone help me? no links

Answers

Answer:

Step-by-step explanation:

Sum: addition

Difference: subtraction

Product: multiplication

Number                    Sum                    Difference                    Product

1, 4                         1 + 4 = 5                     4 - 1 = 3                       1 * 4 = 4

2, 8                       2 + 8 = 10                   8 - 2 = 6                      2 * 8 = 16

Hope this helps!

What are the steps, in the correct order, to write and solve an equation?

Answers

Answer:

The correct order is:

1. identify the variable

2. identify the operation

3. write an equation

4. solve the equation

5. check the solution

Step-by-step explanation:


Francie tried to shade all the multiples of 8 on the hundred chart.
1
2 3
4 5
6
7 8 9 10
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 50
51 52 53 54 55 56 57 58 59 60
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99 100
What mistake did Francie make?

Answers

The multiples of 8 from 1 to 100 are: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, and 96.

How to calculate the multiples of the number 8?

To calculate the multiples of 8 we must multiply 8 by any number and the result will be a multiple of 8.

To identify the multiples of 8 that are between the number 1 and 100, we must multiply the number 8 by the number sequence 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12 .

So we will know properly are the multiples of 8 that are between 1 and 100 as shown below:

8 × 1 = 88 × 2 = 168 × 3 = 248 × 4 = 328 × 5 = 408 × 6 = 488 × 7 = 568 × 8 = 648 × 9 = 728 × 10 = 808 × 11 = 888 × 12 = 96

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f(x) = x². What is g(x)?

A. g(x) = -x² – 3
B. g(x) = -3x²
C. g(x) = x² - 3
D. g(x) = -x²​

Answers

Answer:

A

Step-by-step explanation:

because g(x) is the opposite of f(x) minus three steps

What decimal number is 17/22 equal to?
( Plato)

Answers

Answer:

0.773 thousandths place

Answer:

0.772

Step-by-step explanation:

Thats what i got!

Hope this helps! :)

ratio tables you need 3 sticks of butter for every 24 giant cookies cookie you make
fill out the table

Answers

Answer:

Sticks of butter: 2 Number of cookies: 40

Step-by-step explanation:

the ratio begins with 3:24. if you were to divide 3 by 24 it could be 1:8 **2**x 8 =16 so sticks of butter would be 2. 5x8=40.

Can you help me solve this

Show your workings

Answers

Card P is the answer
8*3=24
8*4=32
8*5=40

multiples of 8 are all the numbers which are divisible by 8, for eg: 8,16,24,32,40,48...

P card has all multiples of 8

hope it helps...!!!

4/9 + 2/5 =
pls i really need the answer asap

Answers

Answer:

38/45

Step-by-step explanation:

Answer:

38/45

Step-by-step explanation:

Hope it helps

find the area of each shape ​

Answers

Answer:

1. 73.12, 2. 94.25, 3. 96, 4. 54, 5. 62.28, 6. 90.48

this is kinda rushed so you might want to check my answers

Step-by-step explanation:

1. find the area of the rectangle and semi circle seperately then add

4*12 = 48, (8/2)^2 *pi /2 = 8pi = 25.12

48+25.12 = 73.12

2. find the area of the triangle and semicircle then add

11*10/2 = 55, (10/2)^2 * pi / 2 = 39.25

55+39.25 = 94.25

3. split the shape into a trangle and a square

12*(2+6+2)/2 = 60, 6*6 = 36

36+60 = 96

4. split into 2 rectangles

10*3 = 30, 6*4 = 24

30+24=54

5. find area of rectangle and subtract area of semicircle

4*14 = 56, (4/2)^2 * pi /2 = 6.28

56+6.28 = 62.28

6. area of circle minus area of rectangle

(16/2)^2 * pi /2 = 100.48, 2*5 = 10,

100.48-10= 90.48

Which one is it?

Btw this is a Math Question.

Answers

Answer:

$1.5

Step-by-step explanation:

9÷6= 1.5

1.5× 1 = 1.5

The answer is $1.8
This is because if 5kg equals $9.
So we have to find out what 1kg is equaled to and to get from 5kg to 1kg, we have to divide by 5. We have to divide $9 by 5 as well to get the price. And 9 divided by 5 is $1.8.
This is just how ratio works.
You can also lay it out like this:
5kg : $9
⬇️(➗by 5)
1kg : $1.8

Hope this helps!
Please give Brainliest!

how much will be charged in prepaid interest on a $500,000 loan with an APR of 4.725% that was closed on August 26?​

Answers

Answer:

$323.65

Hope this helps :D

It will charge $323.63 in prepaid interest on a $500,000 loan.

What is prepaid interest?

Prepaid interest charges are charges due at closing for any daily interest that accrues on your loan between the date you close on your mortgage loan and the period covered by your first monthly mortgage payment.

Given that, a $500,000 loan with an APR of 4.725% we need to calculate the prepaid interest on it,

The prepaid interest is calculated by :-

First, you will take your annual interest rate of 4.725% and divide it by 365 to calculate your daily rate = 4.725% / 365

After you have your daily rate, multiply it by your loan amount to calculate your daily loan interest amount = 0.013% × $500,000 = $64.72

Next, you will need to multiply the number of days between your closing and first payment by your daily interest charge = $64.72 × 5 = 323.63

Hence, it will charge $323.63 in prepaid interest on a $500,000 loan.

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amantha went shopping and decided to purchase a necklace for 35% off the regular price of $44. If Samantha buys the necklace today, she will save an additional 5%. Find the sale price of the necklace with both discounts. just need answer will give brainliest giving a lot of points will five star

Answers

Answer:

$27.17

Step-by-step explanation:

Regular price of necklace = $44

If a discount of 35% is applied, then the new price of the necklace will be 65% of the regular price, as 100% - 35% = 65%

⇒ 65% of $44

= 0.65 × $44

= $28.60

If a second discount of 5% is then applied, the final price of the necklace will be 95% of the sale price, as 100% - 5% = 95%

⇒ 95% of $28.60

= 0.95 × $28.60

= $27.17

Therefore:

The sale price with a 35% discount is $28.60

The sale price with an additional 5% discount is $27.17

[tex]\large{\underline{\underline{\pmb{\sf{\color{yellow}{Answer:}}}}}}[/tex]

Given :-

The regular price of necklace = $44

Discount on necklace = 35%

Additional save from necklace = 5%

Solution :-

First we have to found the prize of necklace that Amantha had bought at 35% discount

To find this, there is a formula

[tex]new \: price = real \: price - (discount \: percentage \times real \: price) [/tex]

Now we will put our value in this formula

[tex] = 44 - ( \frac{35}{100} \times 44) \\ = 44 - ( \frac{7}{20} \times 44) \\ = 44 - ( \frac{7}{10} \times 22) \\ = 44 - \frac{154}{10} \\ = 44 - 15.4 \\ = 28.6 \:[/tex]

Now will deduct the additional discount from this price by using same formula

[tex] = 28.6 - ( \frac{5}{100} \times 28.6) \\ = 28.6 - ( \frac{1}{20} \times \frac{286}{10} ) \\ = 28.6 - ( \frac{1}{10} \times \frac{143}{10} ) \\ = 28.6 - 1.43 \\ = 27.17[/tex]

Result :-

She spend $27.17 on buying the necklace

How many terms are in the geometric series 2. 1 + 10. 5 +. 820,312. 5?

O A. 3

OB. 7

O C. 9

O D. 180

Answers

Answer:

A. 3

Step-by-step explanation:

A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted. Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient

please help meee :)))))))

Answers

Answer:

B, C, D

Step-by-step explanation:

B, C, D

Answer:

A.12

Step-by-step explanation:

x²>100

square root both sides

it becomes x>10

x>10

from the options the only number greater than 10 is 12

Therefore the answer is A. 12

what is the measure of OAC

Answers

Answer:

27°

Step-by-step explanation:

A tangent meets a radius at 90°Angles in a trainable sum to 180°180 - 90 - 63 = 27°

Answer:

∠OAC = 27°

Step-by-step explanation:

The radius of the circle is perpendicular to the tangent line.

Therefore, ∠ACO = 90°

The interior angles of a triangle sum to 180°

⇒ ∠OAC + ∠ACO ∠ COA = 180°

⇒ ∠OAC + 90° + 63° = 180°

⇒ ∠OAC + 153° = 180°

⇒ ∠OAC = 180° - 153°

⇒ ∠OAC = 27°

u/5 + 6 = 2

what is the value of u?
a. -28
b. 20
с. 40
d. -20

Answers

Answer:

D. -20

Step-by-step explanation:

[tex]\frac{u}{5} +6=2[/tex]

[tex]\frac{u}{5} =-4[/tex]

[tex]u=-4(5)[/tex]

[tex]u=-20[/tex]

Hope this helps!

Answer:

D.

Step-by-step explanation:

u / 5 + 6 = 2

-20 / 5 + 6 = 2

-4 + 6 = 2

2 = 2

3) Mr. Brust is addicted to Red Bull and has decided that he wants to plaster his room at school with Red Bull cans.
He measures a can and finds it is 6.5 inches tall and has a diameter of about 2.5 inches. He decided that he will
just recycle the top and bottom since there is no Red Bull logo on them and just use the sides. How many cans will
Mr. Brust need to cover his wall that is 20 feet long and 9 feet tall?

Answers

Mr. Brust needs 427 cans to cover the wall of dimensions 20 feet long and 9 feet tall.

What is area of rectangle?

Area of rectangle is the product of its sides

i.e., Area of rectangle = length  x breadth

What is area of circle?

The area of a circle is pi times the radius squared (A = π r²).

What is circumference of circle?

The circumference of a circle is defined as the linear distance around it.

( C= 2πr)

The can of red bull is in shape of cylinder.

If we open the cylinder it will have two circular surfaces( at bottom and top) and one rectangular sheet.

Like the given figure given.

The can is 6.5 inches tall and has a diameter of about 2.5 inches.

 

It shows that the two circle will have the diameter 2.5 inches.

d= 2.5 inch

 = 0.208 ft

radius, r= [tex]\frac{d}{2}[/tex]

r= [tex]\frac{0.208}{2}[/tex]

r= 0.104 ft

To get the length of the rectangle , we have to calculate the circumference of the circle.

Circumference of the circle be,

= 2πr

= 2 x 3.14 x 0.104

= 0.653 ft

The rectangular sheet will have,

length=  0.653 ft, breadth= 6.5 inches = 0.541 ft

Now, area of rectangular sheet be,

      = length x breadth

      = 0.653 x 0.541

      =[tex]0.3532 ft^{2}[/tex]

Area of 2 circle( top and bottom of can) be,

       = 2 x π[tex]r^{2}[/tex]

       = 2 x 3.14 x 0.104 x 0.104

       = 6.28 x 0.010816

       = 0.0679 [tex]ft^{2}[/tex]

Total area of can be,

        = Area of rectangular sheet + Area of 2 circle( top and bottom of can)

        = 0.3532 + 0.0679

        = 0.4211 [tex]ft^{2}[/tex]

Now, we have the wall of dimensions

length= 9 ft, breadth= 20 ft

Area of wall be,

= length x breadth

=9 x 20

= 180 [tex]ft^{2}[/tex]

Number of cans required to cover the whole wall be,

         =[tex]\frac{area \;of\; wall}{area \;of\; can}[/tex]

         =[tex]\frac{180}{0.4211}[/tex]

         = 427.45 cans

         ≈ 428 cans

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Nancy purchased some bedsheets for $36. Sales rate = 25%. Determine the original price. Solution:

Answers

Answer: 48

Step-by-step explanation: sales rate =25%

75% $36

1% = 36/75

100% = 36/75 × 100/1

Find the area of the rhombus shown.

Answers

Answer:

I believe the answer is D.96

Step-by-step explanation:

well all rhombuses can be turned into a square or rectangle. and this looks like the sides are really close. just a guess don't get mad if it's wrong

Determine the solution to the system of equations graphed below and explain your reasoning in complete sentences.

Answers

Answer:

(0, - 3 )

Step-by-step explanation:

the solution to the system is at the point of intersection of the graphs.

the graphs intersect at (0, - 3 )

then solution is (0, - 3 )

Answer:

(0, -3)

Step-by-step explanation:

The solution is where the two lines intersect. The two lines intersect at the point (0, -3).

I hope it helped you!

13 people study French, 15 people study German and there are 21 people in total. What is probability to chose person who takes both of the languages

Answers

Answer:

Probability of choosing a person studying both languages is 1/3

Step-by-step explanation:

Stan has made a $125.30 monthly deposit into an account that pays 1.5% interest, compounded monthly, for 35 years. he would now like to draw a monthly salary from the account. determine the amount that stan can withdraw each month for 20 years, if he plans on not having anything in the account at the end of the 20 year period and no future deposits are made to the account. a. $69,242.49 b. $69,159.05 c. $333.29 d. $333.71

Answers

The annuity of the monthly deposit into an account that pays 1.5% interest, compounded monthly, for 35 years is $333.71

What is annuity?

An annuity is a series of payments made at equal period of time.

future value = annuity x [(1 + i)ⁿ - 1] / i

annuity = $125.30

i = 1.5% / 12 = 0.00125

n = 35 years x 12 months = 420

future value = $125.30 x [(1 + 0.00125)⁴²⁰ - 1] / 0.00125

future value = $69,156.049 ≈ $69,156.05

annuity = [i x (present value)] / [1 - (1 + i)⁻ⁿ]

i = 1.5% / 12 = 0.00125

n = 20 years x 12 months = 240

present value = $69,156.05

annuity = (0.00125 x $69,156.05) / [1 - (1 + 0.00125)⁻²⁴⁰]

annuity = $86.45 / 0.25904

= $333.71

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PLS HELP AND HURRY!!​

Answers

Answer:

The answer should be: -2, 0, -8, -18

Foster picked 50 figs and divided them into 5 baskets. If each fig was $3, how much is one basket?

Answers

Answer:

$30

Step-by-step explanation:

50÷5=10x3=30

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