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Zolol [24]
2 years ago
5

Logan's monthly bank statement showed the following deposits

Mathematics
1 answer:
Leno4ka [110]2 years ago
3 0

Logan's monthly bank statement showed the following deposits

and withdrawals:

$31.34, $117.42, -$52.48, -$102.33, $64.90

If Logan's balance in the account was $82.63 at the

beginning of the month, what was the account balance at

the end of the month

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5 more than x is equal to 32
Zarrin [17]

Answer:

x=27

Step-by-step explanation

"5 more than x is equal to 32" basically means that you need to subtract 5 from 32, which gives you 27.

3 0
2 years ago
The maximum grade allowed between two stations in a​ rapid-transit rail system is​ 3.5%. Between station A and station​ B, which
saveliy_v [14]

Answer:

x = 3.1 %

Step-by-step explanation:

Let x be the slope the track.

Given:

Distance between station A and B = 270 ft

Track rise = 8\frac{1}{2} = \frac{17}{2} = 8.5\ ft

We need to find the slope of the railway track between station A an B.

Solution:

The maximum grade allowed between two stations in a​ rapid-transit rail system is​ 3.5%.

We know that slope of the railway track is equal to gradient of the tracks.

So. the slope of the railway track is defined as the ratio of the distance between the stations and track rises.

Slope\ of\ the\ the\ tracks =\frac{Distance\ between\ two\ stations}{track\ rises}

x=\frac{8.5}{270}\times 100

x = 3.1 %

So x = 3.1 % less than the maximum grade allowed between two stations in a​ rapid-transit rail system is​ 3.5%.

Therefore, x = 3.1 % meets the​ rapid-transit rail​ standards.

5 0
1 year ago
A large ice chest holds 62 liters of water. A smaller chest holds 4/5 as much water
dedylja [7]

Answer:

Step-by-step explanation:

Since a large ice chest holds the water = 62 liters

And smaller chest holds the water = \frac{4}{5} of the larger ice chest

                                                         = \frac{4}{5}\times 62

                                                         = \frac{248}{5} liters

Therefore, fraction that represents the amount of ice water in the smaller ice chest will have 0 in the first box, 248 in the numerator and 5 in the denominator.

0\frac{248}{5}

6 0
2 years ago
The measure of central angle XYZ is StartFraction 3 pi Over 4 EndFraction radians. What is the area of the shaded sector? 32Pi u
Tems11 [23]

Answer:

<em>96π units²</em>

Step-by-step explanation:

Find the diagram attached

Area of a sector is expressed as;

Area of a sector = θ/2π * πr²

Given

θ = 3π/4

r = 16

Substitute into the formula

area of the sector = (3π/4)/2π * π(16)²

area of the sector = 3π/8π * 256π

area of the sector = 3/8 * 256π

area of the sector = 3 * 32π

<em>area of the sector =96π units²</em>

5 0
2 years ago
Read 2 more answers
SOLVE PLEASE Sarah must maintain a balance of at least $500 in her checking account to avoid finance charges. If her current bal
dem82 [27]
So since her balance must be at least 500, her ballance cannot reach 500
so 794-500=294
see how many 25's you can fit into 294
we know that 4 25's =100 and 294 is roughly 300
so 4 times 3=12
we minus one of the 25's because 294 is less than 300 so
the innequality is
>means more than
794-25x>500
5 0
1 year ago
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