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WITCHER [35]
2 years ago
13

Write an equation for the sentence below.

Mathematics
1 answer:
Alex_Xolod [135]2 years ago
7 0

Answer:

3x - 23 = 2828

Step-by-step explanation:

I'll assume the question is supposed to read "The sum of three times a number (x) and −23 is 2828."

"three times a number (x)" can be written as 3x

"sum of three times a number (x) and −23" means 3x - 23

"is 2828"  = 2828

Put them together:

3x - 23 = 2828

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

<u>Not part of the question</u>

If you want to solve for x:

3x = 2805

x = 935

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Thomas deposited $800 into two different accounts.
Mazyrski [523]
I’d go with D, you do 350 and multiply it by 0.0425 and do the same with 450 and multiply by 0.0425 and you multiply each of those answers and then add them to 800
7 0
3 years ago
Suppose you waited 10 years to invest in the same retirement fund and have the same $400,000 for retirement at the same 8% inter
Ierofanga [76]

Answer:

<em>$7,196.42 </em>

Step-by-step explanation:

Using the compound interest formula to fins the amount after 10years;

A  = P(1+r)^n

Principal P = $400,000

Rate r = 8% = 0.08

Time t = 10 years

Substitute

A = 400,000(1+0.08)^10

A = 400,000(1.08)^10

A = 400,000(2.1589)

A = 863,569.99

A ≈ 863,570

Hence the amount after 10 years is $863,570

Monthly deposit = $863,570/120 (10 years is equivalent to 120months)

Monthly deposit = 7,196.42

<em>Therefore he will have to deposit $7,196.42 into his account monthly</em>

7 0
3 years ago
Two trains started moving at the same time, train A from Boston to New York, and train B from New York to Boston. The distance b
Ede4ka [16]

Answer:

  • <u>After 1.7 hours</u>

Explanation:

<u>1. Calculate the average speed of train B</u>

  • 60mph = 3/4 (s) ⇒ s = 60 (4/3) mph = 80 mph

<u>2. Build a table</u>

When the two trains meet:

Train     Average speed     Distance       time (distance/average speed)

                 mph                            

A                 60                             x                        x/60

B                 80                        240 - x                (240 - x) / 80

<u>3. Write the equation</u>

The time, when the two trains meet, is the same for both trains:

                  \dfrac{x}{60}=\dfrac{240-x}{80}\\ \\ \\ 80x=14,400-60x\\ \\ 80x+60x=14,400\\ \\ 140x=14,400\\ \\ x=14,400/140\\ \\ x=102.85miles

<u>4. Calculate the time:</u>

  • x/60 = 102.86 / 60 = 1.7 hours

The two trains will meet after 1.7 hours

7 0
3 years ago
I rlly need help with this gr 11 math problem
prohojiy [21]

Answer:

a) \frac{d-5.50}{0.45}

b) The inverse function is a reflection of the original function across the line

y = x. For example, if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x. So you would use it to find the x-value at a y just like you use the original to find the y value at an x.

Step-by-step explanation:

To do an inverse of a function you first switch the independent variable (d) and the dependent variable (c).

d = 0.45c + 5.50

Then you solve for c

d - 5.50 = 0.45 c

c = (d-5.50)/0.45

8 0
3 years ago
¿Cuantos minutos tiene un día?
zlopas [31]
How many minutes are in a day?
8 0
3 years ago
Read 2 more answers
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