Solve the equation and determine the value of t.

t + 38 = 420


t =

Answers

Answer 1

Answer:

[tex]t=382[/tex]

Step-by-step explanation:

[tex]\mathrm{Subtract\:}38\mathrm{\:from\:both\:sides}[/tex]

[tex]t+38-38=420-38[/tex]

[tex]=382[/tex]

Answer 2

Answer:

[tex] \displaystyle t = 382[/tex]

Step-by-step explanation:

we are given a equation

we want to figure out t

to do so

recall that

addition equality propertySubstraction equality propertymultiplication equality propertydivision equality property

therefore

if we substract 38 from both sides it won't affect the equality

so

[tex] \displaystyle t + 38 - 38 = 420 - 38 \\ \therefore \: t = 382[/tex]

let's verify it

[tex] \displaystyle382 + 38\stackrel{?}{=}420[/tex]

simplify addition:

[tex] \displaystyle420\stackrel{ \checkmark}{=}420[/tex]

hence, verified!


Related Questions

Which graph represents all the real numbers, , where ≥−2? THIS IS LAST QUESTION PLEASE ANSWER! I WILL GIVE BRAINLYST.

Answers

Answer:

It's the one right under the first one

Solve the equation using either addition or substitution. Show all your work

Answers

Answer:

(x1, y1) = (1, 3)

(x2, y2) = (4, 12)

Step-by-step explanation:

y= x^2 - 4

y= 5x - 8

(substitute the value for y)

x^2 - 4 = 5x - 8

(solve the equation)

x = 1

x = 4

(substitute the values)

y = 5 × 1 - 8

y = 5 × 4 - 8

(solve the equations)

y = -3

y = 12

( the possible solutions are)

x1, y1 = 1, -3

x2, y2 = 4, 12

(check the solutions)

-3 = 1^2 - 4

-3 = 5 × 1 - 8

12 = 4^2 - 4

12 = 5 × 4 - 8

(simplify)

-3 = -3

-3 = -3

12 = 12

12 = 12

(the ordered pairs are the solutions)

find x
answer choices
6
7
9
10
8

Answers

The answer should be 10

What is another way to express 52 + 24?
8 (6 + 3)
4(13+6)
6 (9+4)
13 (4+2)
Done

Answers

Answer:

it's the 2nd one

Step-by-step explanation:

hoped I helped:)

There are 244 seventh grade students. The number of students enrolled in P.E. Is 8 fewer than three times the number of students enrolled in health

Answers

Answer:

No. of students enrolled in Health = 63

No. of students enrolled in P.E. = 181

Step-by-step explanation:

Given,

Total students in grade seven = 244 students

A.T.Q.

Let the number of students enrolled in Health be x

so, The number of students enrolled in P.E. = 3x - 8

As we know,

x + (3x - 8) = 244

4x = 244 + 8

x = 252/4

x = 63

Thus, the number of students enrolled in Health = 63

The number of students enrolled in P.E. = 3x - 8

= 3 * 63 - 8

= 189 - 8

= 181 students

The table shows the costs
for 2, 3, 4, and 5 vegetable
seed packets. What is the
unit rate?

Answers

1 seed packet = $1.50



Answers:

2 seed packets=$3.00
3 seed packets= $4.50
4 seed packets= $6.00
5 seed packets= $7.50

“Calculate the lengths of the 2 unlabeled sides”

Answers

Answer:

NL = 4.33

NM = 5

Step-by-step explanation:

tan 60° = NL/2.5

tan 60° = 1.7321

so:

1.7321 = NL/2.5

NL = (2.5)(1.7321)

NL = 4.33

cos 60° = 2.5/NM

cos 60° = 0.5

so:

0.5 = 2.5.NM

NM = 2.5/0.5

NM = 5

Pls help meee and thank you

Answers

Y = 8 and X is 5 that’s the answer to your question

Answer:

I believe the answer is y=4x+4

Step-by-step explanation:

because the 4 that is on the  Y axis is the Y axis

and the 4 on the x axis will be the one with the variable

Hopefully this helps.

PLEASE HELP ME OUT AND MAKE SURE TO SHOW YOUR WORK!!!! PLEASEEEEE

Answers

Answer:

1. 15

2. 16

3. 46

4. 59

Step-by-step explanation:

1. 44+30=74, 89-74=15

2. 90-74=16

3. 180-134=46

4. angles like that are the same

Answer:

1. x=5

2. x=16

3.x=46

4.x=59

Step-by-step explanation:

1. It says that the angle in total is 89 degrees (faded). then it shows the degrees 44 and 30. add them together to get 74 degrees. next subtract 89 by 74 to get the answer 5.

2. it shows a box at the corner of the angle (box means its a perfect 90 degree angle) so you need to subtract 90 by 74 to get the answer 16.

3. the whole entire angle is 180. so you need to subtract 134 from 180 to get the answer 46.

4. look focus on the one line that shows 59 degrees and right above it there is a blank. that arrow line represents 180 degrees. subtract 180 by 59 to get 121. next focus on the second line (the one that faces downward to the right) you then subtract 180 by 121 to get 59.

1.  44+30=74      89-74=5                 x=5

2.  box=90      90-74=16                   x=16

3. 180-134=46                                   x=46

4. 180-59=121    180-121=59             x=59

A manufacturer has cube shaped cardboard boxes with an exact volume of 12000 cubic inches. What is the volum of the largest sphere that can be packed inside the cube shaped box? Give you answer rounded to the nearest whole cubic inch

Answers

Answer:

6283 in³

Step-by-step explanation:

The largest sphere that can fit into the cardboard box must have its diameter, d equal to the length, L of the cardboard box.

Since the cardboard box is in the shape of a cube, its volume V = L³

So, L = ∛V

Since V = 12000 in³,

L = ∛(12000 in³)

L= 22.89 in

So, the volume of the sphere, V' = 4πr³/3 where r = radius of cube = L/2

So, V = 4π(L/2)³/3

= 4πL³/8 × 3

= πL³/2 × 3

= πL³/6

= πV/6

= π12000/6

= 2000π

= 6283.19 in³

≅ 6283.2 in³

= 6283 in³ to the nearest whole cubic inch

i dont have a question for this. look at the photo​

Answers

Answer:

first is no second is yes third is no fourth is yes

Step-by-step explanation:

I'm not sure btw

A box of macaroni & cheese says that it makes 25% more than a regular box. If a regular box makes 3 cups of macaroni & cheese, how many cups will this box make?

Thanks :)

Answers

Answer:

3.75

Step-by-step explanation:

25% = 0.25

3(0.25) = 0.75

3 + 0.75 = 3.75

27 solid iron spheres, each of radius 'x cm' are melted to form a speher with radius 'y cm'. Find the ratio x:y​

Answers

Answer:

My brain...

Step-by-step explanation:

Answer:

i believe its A on plato

Step-by-step explanation:

The playground at a park is shaped like a trapezoid the dimensions what is the area of the playground in square feet

Answers

Answer:

[tex]Area = 1560ft^2[/tex]

Step-by-step explanation:

Given

See attachment for playground

Required

Determine the area

The playground is a trapezoid. So;

[tex]Area = \frac{1}{2}(Sum\ parallel\ sides) * Height[/tex]

From the attachment, the parallel sides are: 68ft and 36ft

The height is: 30ft

So, the area is:

[tex]Area = \frac{1}{2}(68ft + 36ft) * 30ft[/tex]

[tex]Area = \frac{1}{2}(104ft) * 30ft[/tex]

[tex]Area = 52ft * 30ft[/tex]

[tex]Area = 1560ft^2[/tex]

Students set a goal for the
number of cans to collect
for the canned food drive.
They reached 120% of
their goal. What is 120%
expressed as a fraction
and as a decimal?

Answers

Answer:

Fraction = 120/100 | Decimal = 1.2

Step-by-step explanation:

Fraction:

100% is 100/100 but 120% is 20% over so the fraction is now 120/100 (20% = 20/100)

Decimal:

100% is 1 but as I said earlier, 120% is 20% over so the decimal is now 1.2 (20% = 0.2)

$12 with a 85% markup​

Answers

12+85% is $22.20

80%x12=9.6

5%x12=0.6

9.6+0.6=10.2

12+10.2=22.20

 Answer: $22.20  

Need help on this one too

Answers

Answer:

sin(θ)=4√41/41

cos(θ)=5√41/41

tan(θ)=4/5

cot(θ)=5/4

sec(θ)=√41/5

csc(θ)=√41/4

Step-by-step explanation:

Jamar to the local snack shop near his school He bought 3 hotdogs and 2 bags of chips for $Kenny went to the same snack shop and bought 5 hotdogs and 6 bags of chips for $9.55 ordered 2 hotdogs and 3 bags of chips, then how much did she pay her order?

Answers

Answer:

Marcy paid $4.15

Step-by-step explanation:

Given

Represent hotdogs with x and chips with y.

So, we have:

Jamal

[tex]3x + 2y = 4.85[/tex]

Kenny

[tex]5x + 6y = 9.55[/tex]

See attachment for complete question

Required

Determine the amount for 2x and 3y

From Jamal's and Kenny's orders we have:

[tex]3x + 2y = 4.85[/tex] --- (1)

[tex]5x + 6y = 9.55[/tex] --- (2)

Multiply (1) by 3

[tex]3 * [3x + 2y = 4.85][/tex]

[tex]9x + 6y = 14.55[/tex] --- (3)

Subtract (2) and (3)

[tex]9x - 5x + 6y - 6y = 14.55 - 9.55[/tex]

[tex]9x - 5x = 5[/tex]

[tex]4x = 5[/tex]

Solve for x

[tex]x = \frac{5}{4}[/tex]

[tex]x = 1.25[/tex]

Substitute [tex]x = 1.25[/tex] in [tex]3x + 2y = 4.85[/tex]

[tex]3 * 1.25 + 2y = 4.85[/tex]

[tex]3.75 + 2y = 4.85[/tex]

Solve for y

[tex]y = \frac{4.85 - 3.75}{2}[/tex]

[tex]y = \frac{1.10}{2}[/tex]

[tex]y = 0.55[/tex]

So, the cost of 2x and 3y is:

[tex]Cost = 2x + 3y[/tex]

[tex]Cost = 2*1.25 + 3*0.55[/tex]

[tex]Cost = \$4.15[/tex]

the price of a jacket was reduced from $50 to $30. by what percentage was the price of the jacket reduced?

Answers

Answer:

the jacket price was reduced by 40%.

Step-by-step explanation:

if $50 is 100% then every one dollar is 2%.

Percentage of the reduction of price of the jacket is 40%.

What is Percentage?

Percentage is defined as the parts of a number per fraction of 100.

Percentage is usually denoted by the symbol '%'.

We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

Given that,

Original price of the jacket = $50

Let x be the percentage of reduction of the price of the jacket.

50 - (x × 50) = 30

50x = 50 - 30

50x = 20

x = 20 / 50

x = 0.4

Percentage = 0.4 × 100 = 40%

Hence the percentage reduction is 40%.

Learn more about Percentage here :

https://brainly.com/question/15308590

#SPJ6

At midnight, the temperature in Escondido was 68 degrees. The temperature was dropping at a steady rate of 2 degrees per hour. After how many hours was the temperature colder than -4 degrees?

Answers

Answer:

72 hours

Step-by-step explanation:

Answer: 34 hours

Step-by-step explanation: 68 divided by 34 is 2 and thats the rate the temperature is dropping.

A hot air balloon pilot begins to land her balloon. In the first minute the balloon's elevation -336 feet. In the second minute, the balloon's elevation changes by 1/16 of that amount. What is the balloon's elevation during the second minute?

Answers

Answer:

-21 Feet

Step-by-step explanation:

-336/16

The balloon's elevation during the second minute will be 21 feet.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

A sight-seeing balloon pilot starts to land her inflatable. In the main moment the inflatable rise - 336 feet. In the subsequent moment, the inflatable's height changes by 1/16 of that sum.

Then the balloon's elevation during the second minute is given as,

⇒ - 336 x (1/16)

⇒ - 336 / 16

⇒ - 21 feet

The balloon's elevation during the second minute will be 21 feet.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Solve the system of equations given below.

Answers

Answer:

The system of this equation is ( -1, 10) which is Option A.

Step-by-step explanation:

Solve for y in the first equation.

[tex]y = - 5x + 5 \\ - 2y = - x - 21[/tex]

Replace all occurrences of yy with -5x+5 in each equation.

[tex]10x - 10 = - x - 21 \\ y = - 5x + 5[/tex]

Solve for x in the first equation.

[tex]x = - 1 \\ y = - 5x + 5[/tex]

Replace all occurrences of x with -1 in each equation.

[tex]y = 10 \\ x = - 1[/tex]

The solution to the system is the complete set of ordered pairs that are valid solutions.

(−1, 10)

Hence, the system of this equation is (-1, 10).

Option A.

2 qt 1 cup = ___ fl oz

A. 40
B. 72
C. 80
D. 136

Answers

It should be C you’re welcome

Answer:

80 fl oz

2qts = 8 cups

I WILL GIVE BRAINLIEST!!!!!!
Write in complete sentences to explain what a budget is, how to make one, and how to balance it.

Answers

A budget is the amount of money you have to spend on something, you make a budget by taking your amount of money and choosing how much you want to save and how much you want to spend on something, and you balance your budget by possibly splitting your money then using half of it as the budget and half of it as saving

7. Would you expect the world population growth to be best modeled be a linear, quadratic, or exponential function?

Answers

Answer:

exponential

Step-by-step explanation:

since the rate of our population growth is relative to the amount of people already on our planet, the numbers will grow exponentially

Answer: exponential

Step-by-step explanation: exponential function don’t grow at a constant rate, like the world population

Find the volume of the con round you answer to the nearest tenth

Answers

Answer:

16.76 inch³

Step-by-step explanation:

volume of cone is 1/3 πr²h

h=4

r=2

then 1/3* 22/7* 2*2 *4

=352/21

=16.76

9)
Consider
-196/14
Which THREE statements are correct?
A)
The quotient is 14.
B)
The quotient is -14.
The quotient is -
D)
- 196
is equivalent to the expression.
14
E)
196
-14
is equivalent to the expression.

Answers

Maybe B (not sure).................

You must exert a force of 4.5 N on a book to slide it across a table. If you moved it 5 meters. How much work was done on the book?

Answers

Answer:

22.5 J

Step-by-step explanation:

The work done by an object can be found by using the formula

workdone = force × distance

From the question we have

workdone = 4.5 × 5

We have the final answer as

22.5 J

Hope this helps you

What's the slope and y intercept of 3x - y = 7

Answers

Answer:

the slope is 3

the y intercept is (0,-7)

Step-by-step explanation:

3x-y=7 solve for y

add y to both sides

3x=7+y

subtract 7 from both sides

y=3x-7

y=mx+b

m=slope

b=y-intercept

3=slope

-7=y-intercept

Hope that helps :)

A state park charges an entrance fee based on the number of people in a vehicle. A car containing 2 people is charged $14, a car containing 4 people is charged $20, and a van containing 8 people is charged $32.What rule do you think the state park uses to decide the entrance fee for a vehicle?

Answers

Answer:

I think they charge a flat rate of $8 for a vehicle and $3 per person on top of that.

Step-by-step explanation:

There could be a multitude of rules, but let's try to find a simple one.

I would start by assuming that the park charges a fee for a vehicle and then for each person. Let's name those:

a - flat fee for a vehicle

b - fee per person

then a car with x people in it would be charged

a + bx

Let's see if the fees fit this assumption:

for x = 2

a + b*2 = $14

for x = 4

a + b*4 = $20

for x = 8

a + b*8 = $32

If so, we can subtract the second equation from the first and get

a + b*4 - a - b*2 = $20 - $14

b*2 = $6

b = 3$

a + b*2 = $14

a + $3*2 = a + $6 = $14

a = $8

so the first 2 equations gave us a = $8 and b = $3.

Let's see if these values fit the 3rd equation

a + b*8 = $32

$8 + $3*8 = $32

$8 + $24 = $32

$32 = $32

It fits!

That tells us that the rule is indeed very likely.

Other Questions
If you were interviewing an expert on women in the military about Deborah Sampson's experience in the army, which question would be MOST relevant ? Please select the word from the list that best fits the definition Why did Dr. Martin Luther King Jr. consider the Albany Movement a failure? A. He was tricked into believing officials had agreed to his demands. B. He was unable to draw enough attention to the movement. C. It did not empower the city's African American voters. D. It did not result in the desegregation of the city. Which of these is not a human cause of extinction of species?Choose the correct answer.A) Clearing of an area for farmland.B) A dam built in a river for city water usage.C) Competition for food resources with another native species.D) The introduction of a new predatory species to an island by boat. A = {x | x Knnte jemand das hier fr mich machen oder es mir besser erklren. Danke schn! Jack offers to sell Jill his automobile for $10,000. Jill says she must think about but that she is not rejecting his offer. Jill goes home that day and comes to the realization that $10,000 is a great deal. She sends Jack a letter of acceptance by mail at 4pm by placing it in the drop box at the post office. Jill did not know that Jack had sent her a revocation letter at 3:30 from a different post office. The letter of revocation is scheduled for delivery the next day at 10am. What result Please Help! SCAMMERS WILL BE REPORTED! Use Cramer's Rule to solve the following system-2x- 6y = -265x + 2y = 13 Kriti has 20 coins that make up a total of 41 in the denomination of 1-rupee, 2-rupee, and 5-rupee coins.The number of 2-rupee coins are three times the number of 5-rupee coins. Estimate the area of tje fan if m what is the fraction for 0.875? Solve for x. -4.5 = -0.5(x 7.1) Which of the following expressions are equivalent to -9.7. -0.8. -7.8. -3.8? Choose all answers that apply: A. 9.7.-0.8.-7.8.-3.8. B. -9.7.0.8. 7.8.-3.8 C. None of the above Hi, can someone please help, and possibly explain the answer please. Based on the above graphic.What percentage of the offspringwill beRed:White:Pink: QUICK! Giving Brainliest to whoever gives the correct answer which expression is equivalent to 7*8? Help please please pray that you pray what started the cold war? Select all the fractions that are equivalent to 4/5. Use the area models to help.