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AfilCa [17]
3 years ago
15

-12+x-34=60 If you like this question please rate this five stars! Thank you!

Mathematics
1 answer:
natulia [17]3 years ago
8 0

Answer:

x=106

Step-by-step explanation:

Let's solve your equation step-by-step.

−12+x−34=60

Step 1: Simplify both sides of the equation.

−12+x−34=60

−12+x+−34=60

(x)+(−12+−34)=60(Combine Like Terms)

x+−46=60

x−46=60

Step 2: Add 46 to both sides.

x−46+46=60+46

x=106

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The volume of a pyramid is 50 3 . What is the volume of a prism that has a congruent base and is the same height as the pyramid?
Darya [45]

Answer:

150 mm^3

Step-by-step explanation:

The formula of a pyramid is

V=1/3(Bh)

The formula for a rectangle is

V=(Bh)

They both have the same Bh, so because the formula of a pyramid states that it's 1/3 of Bh, and 1/3 of Bh = 50, the volume of a whole Bh is 150mm^3.

Hope this makes sense

6 0
3 years ago
Read 2 more answers
One integer is 8​ times another. if the product of the two integers is 288, then find the integers.
Anarel [89]
One integer is x
another integer is y

x=8y
xy=288

(8y)(y)=288
8y^2=288
Divide both sides by 8
y^2= 36
The square root of 36 is 6
y=6

x=8y = 8(6) = 48
x=48
7 0
3 years ago
Marcus currently has $42 and plans to save an additional $5 each week to buy a pair of shoes. He made a table showing the total
Sidana [21]
Equation that represents therelationship between the nmber of weeks and total amount of money marcus will have saved is

Y= 5x+42

-5x +y =42

He currently has $42 with planning to save $5 each week. So, $5 per week is the slope and $42 is the y intercept.
3 0
3 years ago
Read 2 more answers
You want to find out how sleep deprivation affects motor performance. To study this, you have sleep-deprived subjects (such as p
marysya [2.9K]

Answer:

179.5 - 180.5

Step-by-step explanation:

Time is a continuous variable. The minimum sleep time per night per subject here, is given as 1 minute.

Larger sleep times could be 1.08 minutes, 2.99 minutes, and other continuous/infinite values. Remember there are 60seconds in a minute and in-between seconds, there are milliseconds. So time is a continuous variable.

In this case though, our measurement of time is given in whole number units (integers). Our precision of measurement is 1 unit. We have an observed value of 180 minutes (the first subject's sleep time). The real limits of this value are 179.5 to 180.5

7 0
3 years ago
Mr. Monasterio ran to the store for burritos at 4 miles per hour. On the way back, he increased his speed to 6 miles per hour. I
sveticcg [70]

Answer:

It took 1.2 hours to get to the store

Step-by-step explanation:

Let the time taken to reach the store be t₁

Let the time taken to come back be t₂

Let the speed to and from store = s₁ and s₂ respectively

let the distance to the store = d

To the store:

speed = \frac{distance}{time} \\s = \frac{d}{t_1} \\t_1 = \frac{d}{s_1}\\t_1 =\frac{d}{4} - - - - - (1)

Back from the store:

s_2 = \frac{d}{t_2} \\t_2 = \frac{d}{s_2}\\where:\\s_2 = 6\ miles\ per\ hour\\t_2 = \frac{d}{6} - - - - - - (2)

We are told that total time (t₁ + t₂) = 2 hours

t₁ + t₂ = eqn (1) + eqn (2)

\frac{d}{4} + \frac{d}{6} = 2\\Multiplying\ through\ by\ 12:\\3d\ +\ 2d\ =\ 24\\5d = 24\\d = \frac{24}{5} \\d = 4.8\ miles

∴ length of trip to the store = t₁

from eqn (1)

t_1 = \frac{d}{4} \\t_1 = \frac{4.8}{4} \\t_1 = 1.2\ hours

7 0
3 years ago
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