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madam
7 days ago
5

Describe two ways to solve the equation 2(4x-11)=10

Mathematics
1 answer:
AnnZ [9.1K]7 days ago
6 0
2(4x-11) = 10

Method 1:
Divide both sides by 2:
\frac{2(4x-11)}{2} = \frac{10}{2}

4x-11 = 5

Then add 11 to both sides:

4x-11+11 = 11+5

4x = 16

Finally divide both sides by 4

\frac{4x}{4} = \frac{16}{4}

x = 4

Method 2:

Use the distributive property:

2(4x-11) = 10

2*4x- 2*11 = 10

8x - 22 = 10

Add 22 to both sides:

8x - 22+22 = 10+22

8x = 32

Then divide both sides by 8

\frac{8x}{8} = \frac{32}{8}

x = 4
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The sum of four consecutive odd numbers is 368 find the numbers​
lawyer [9240]

Answer:

The four odd numbers in sequence are 89, 90, 91, and 93.

Step-by-step explanation:

Designate the four consecutive numbers as x, x+2, x+4, and x+6.

Based on the information given in the question

x + (x + 2) + (x + 4) + (x + 6) = 368

4x + 12 = 368

4x = 356

x = 89

Consequently, the numbers are 89, 90, 91, and 93.

Hope this is helpful:)

7 0
1 month ago
1) Jodi liked to collect stamps. On 3 different days she bought 6 stomps. Then she
babunello [8423]

Answer:

4

Step-by-step explanation:

6-4+2*5=12

12/3

4

6 0
6 days ago
Estimate the sum of 196 and 482
Svet_ta [9518]

we understand that

A fast method for estimating the total of two numbers involves rounding each number and adding the rounded results.

case a) We round to the nearest hundred

so

196 Round up equals 200

482 Round up equals 500

Calculate the estimated sum

200+500=700

case b) We round to the nearest ten

so

196 Round up equals 200

482 Round down equals 480

Calculate the estimated sum

200+480=680

8 0
18 days ago
Read 2 more answers
Miguel buys a large bottle and a small bottle of juice. The amount of juice that the manufacturer puts in the large bottle is a
Zina [9179]
Pr(X>1540.2) = 0.0655. Step-by-step explanation: The expected value indicated for the large bottle is E(Large) = 1016, and for the small bottle, E(small) = 510. This leads to an expected total E(total) = 1016 + 510 = 1526. The new mean calculated is thus 1526. To find the standard deviation, we derive the variance of each bottle. The variance for the large bottle is v(large) = 8^2 = 64, while for the small bottle it's v(small) = 5^2 = 25. Hence, the total variance is v(total) = 64+25 = 89, resulting in a new standard deviation sd(new) = sqrt(89) = 9.434. To find the probability, we compute using the new mean and standard deviation. The z score is derived as z = (x - mean)/sd = (1540.2 - 1526)/9.434 = 1.505. Looking up this z score gives P(z<1.51) = 0.9345. Consequently, for x > 1540.2, we have P(z > 1.51) = 1 - 0.9345 = 0.0655.
7 0
10 days ago
How much water do you add  to make 12% sugar syrup using 5g sugar?
Svet_ta [9518]

The syrup is a combination of sugar and water, with the sugar content being 12%, equivalent to 5 grams.

Subtracting 12% from 100% leaves us with 88%, indicating that the remaining portion is water.

If 12% equals 5g, what does 88% correspond to?

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8 0
1 month ago
Read 2 more answers
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