3. solve (-7) + b = (-11)

The sum of two numbers is 48. Their difference is 38. Find the numbers.

Setler79 [48]

Answer:

43 and 5

Step-by-step explanation:

Let's let the two unknown numbers be a and b.

Their sum is 48, therefore:

$a+b=48$

And their difference is 38. In other words:

$a-b=38$

We now have a system of equations. To solve, we can use substitution. First, add b to both sides in the second equation:

$a=38+b$

Substitute this into the first equation:

$(38+b)+b=48$

Combine like terms:

$2b+38=48$

Subtract 38 from both sides:

$2b=10$

Divide both sides by 2:

$b=5$

So, one of the numbers is 5.

The sum of them is 48. Therefore, the other number is 48-5 or 43.

So, our two numbers are 43 and 5.

And we're done!

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3 years ago

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Use a calculator to solve the equation. −8.5x + 0.49 = −2.91 The solution is x =

sineoko [7]

The answer is x = -0.4

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Veronica tried to solve an equation step by step.

Svetach [21]

No steps are wrong. To solve this equation, you need to isolate the y. So, you would add 4.6 to both sides to cancel out the 4.6 on the right side and isolate the y.

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2 years ago

A store sells flower arrangements at a cost of $28 each. Which statements are true regarding the price of the arrangements? Chec

Maru [420]

Let's check each case to determine the solution to the problem.

we know that

The cost of each flower arrangements is $\$28$

Statements

case A) If the price is marked down by $10$ percent, the new price will be $\$25.20$

we know that

If the price is marked down by $10$ percent

then

the new price will be

$10\%= \frac{10}{100} =0.10$

$(1-0.10)*\$28=0.90*\$28 \\= \$25.20$

$\$25.20=\$25.20$

therefore

The statement case A) is True

case B) If the price is marked down by $25$ percent, the new price will be $\$21$

we know that

If the price is marked down by $25$ percent

then

the new price will be

$25\%= \frac{25}{100} =0.25$

$(1-0.25)*\$28=0.75*\$28 \\= \$21$

$\$21=\$21$

therefore

The statement case B) is True

case C) If the price is marked down by $50$ percent, the new price will be $\$19$

we know that

If the price is marked down by $50$ percent

then

the new price will be

$50\%= \frac{50}{100} =0.50$

$(1-0.50)*\$28=0.50*\$28 \\= \$14$

$\$14 \neq \$19$

therefore

The statement case C) is False

case D) If the price is marked down by $35$ percent, the new price will be $\$18.20$

we know that

If the price is marked down by $35$ percent

then

the new price will be

$35\%= \frac{35}{100} =0.35$

$(1-0.35)*\$28=0.65*\$28 \\= \$18.20$

$\$18.20=\$18.20$

therefore

The statement case D) is True

case E) If the price is marked down by $40$ percent, the new price will be $\$29.80$

we know that

If the price is marked down by $40$ percent

then

the new price will be

$40\%= \frac{40}{100} =0.40$

$(1-0.40)*\$28=0.60*\$28 \\= \$16.80$

$\$16.80 \neq \$29.80$

therefore

The statement case E) is False

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2 years ago

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What is different about the normality requirement for a confidence interval estimate of sigma and the normality requirement for

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Answer:

The normality requirement for a confidence interval estimate of sigma is (stricter) than the normality requirement for a confidence interval estimate of mu. Departures from normality have a (greater) effect on confidence interval estimates of sigma than on confidence interval estimates of mu. That is, a confidence interval estimate of sigma is (less)

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