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Kitty [74]
2 years ago
11

Solve this equation: 4y + 228 = 352. A. y = 31 B. y = – 31 C. y = 3 D. y = 145

Mathematics
1 answer:
V125BC [204]2 years ago
3 0
To let the variable alone you can follow these steps: 1) subtract 228 from both sides 2) divide both sides by 4. This is the solution: 1) 4y + 228 - 228 = 352 - 228 => 2) 4y = 124 => 3) (4y)/4 = 124/4 => 4) y = 31. Then, <span>the answer is the option A. y = 31. </span>
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A collection of dimes and nickels is worth $8.40 there are 106 coins how many of each are there
kotegsom [21]
There are 62 dimes and 44 nickels.

N + D = 106 (There are 106 coins in all.)
1 nickel = 5 cents.
1 dime = 10 cents.
5*N + 10*D = 840 ($8.40 = 840 cents)
N + D = 106 -------(1)
N = (106 - D)
5*N + 10*D = 840 ---------(2)
5*(106-D) + 10*D = 840
530 - 5*D + 10*D = 840
5*D = 840 - 530
5*D = 310
D = 310/5 = 62
Eq(1) N + D = 106
N + 62 = 106
N = 106 - 62
N = 44
7 0
3 years ago
Or a very large set of data the measured mean is found to be 288.6 with a standard deviation of 21.2. assuming the data to be no
SashulF [63]

The 68-95-99.7 rule tells us 68% of the probability is between -1 standard deviation and +1 standard deviation from the mean. So we expect 75% corresponds to slightly more than 1 standard deviation.

Usually the unit normal tables don't report the area between -σ and σ but instead a cumulative probability, the area between -∞ and σ. 75% corresponds to 37.5% in each half so a cumulative probability of 50%+37.5%=87.5%. We look that up in the normal table and get σ=1.15.

So we expect 75% of normally distributed data to fall within μ-1.15σ and μ+1.15σ

That's 288.6 - 1.15(21.2) to 288.6 + 1.15(21.2)

Answer: 264.22 to 312.98


8 0
3 years ago
Caleb bought groceries and paid
lutik1710 [3]

Answer:

Price of Caleb's groceries before tax= $6.4

Step-by-step explanation:

Let price of groceries before tax be = $ x

Sales tax % = 2.5%

Sales tax applied = 2.5\% \ of\ x = \frac{25}{100}\times x = \frac{25}{100} x

Actual sales tax paid = $1.60

∴ \frac{25}{100}x=1.60

Multiplying both sides by 100.

100\times \frac{25}{100}x=1.60\times 100

25x=160

Dividing both sides by 25.

\frac{25x}{25}=\frac{160}{25}

x=6.4

∴ Price of groceries before tax= $6.4

8 0
3 years ago
Read 2 more answers
Find the value of z in the figure below.<br>.​
zzz [600]

answer

z = 100

opposite angles

when inscribed in a circle, the opposite angles of a quadrilateral add up to 180

so z + 80 = 180 and y + 120 = 180

solve for z

z + 80 = 180

z = 180 - 80

z = 100

3 0
3 years ago
The table shows the type of super power students wish they had. Super power Students Flight 888 Super strength 101010 X-ray visi
pogonyaev

Answer:

the answer is A and B

Step-by-step explanation:

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3 years ago
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