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Setler [38]
3 years ago
5

Find four consecutive integers with a sum of -66

Mathematics
1 answer:
Ad libitum [116K]3 years ago
4 0
-16.5-16.5-16.5-16.5, if you solve that, it equals -66
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Big Mack buys meat for the family reunion cookout. He needs to buy 11 packagesof meat. A package of hotdogs costs $2.59, and a p
IgorC [24]

Hello!

Let's write some important information contained in the exercise:

• hotdogs: $2.59 (,x,)

,

• hamburgers: $5.29 (,y,)

He needs 11 packages. Let's write it:

• x + y = 11

He spent a total of $39.29. We can write it as:

• 2.59x + 5.29y = 39.29

Now, let's solve these two equations as a linear system:

\begin{cases}x+y=11\text{ equation A} \\ 2.59x+5.29y=39.29\text{ equation B}\end{cases}

First, let's isolate x in equation A:

\begin{gathered} x+y=11 \\ x=11-y \end{gathered}

Now, we will replace where's x by 11-y in equation B:

\begin{gathered} 2.59x+5.29y=39.29 \\ 2.59(11-y)+5.29y=39.29 \\ 28.49-2.59y+5.29y=39.29 \\ -2.59y+5.29y=39.29-28.49 \\ 2.7y=10.8 \\ y=\frac{10.8}{2.7} \\  \\ y=4 \end{gathered}

As I called the hamburgers as 'y', we know that he bought 4 packages of hamburgers.

5 0
1 year ago
Find the absolute value of the complex number. <br><br>4+3i​
iVinArrow [24]
The answer is 7i because if you add 4+3i together as an absolute value, it equals to 7 plus the i is 7i
7 0
3 years ago
Tom opens a bank account and makes an initial deposit of $500. The banker tells Tom that he is going to receive
Katena32 [7]

Bank balance after 15 years is $950

Step-by-step explanation:

  • Step 1: Find the simple interest on the principal amount using the formula SI = PRT/100 where Principal (P) = $500, Rate of Interest (R) = 6% and Time(T) = 15 years

⇒ SI = 500 × 6 × 15/100 = $450

  • Step 2: Find total amount using the formula Amount = P + SI

⇒ Amount = 500 + 450 = $950

7 0
3 years ago
Jake wanted to measure the height of the Great Sphinx of Giza. He placed a mirror on the ground and then walked backwards until
defon

Answer:

65

Step-by-step explanation:

3 0
2 years ago
Bad Investment After Mrs. Fisher lost 9% of her investment, she had $22,750. What was Mrs. Fisher's original investment?​
stira [4]

Answer:

$2500

Step-by-step explanation:

Given that,

The lost percentage = 9%

Amount she had = $22,750

We need to find Mrs. Fisher's original investment.

As she had lost 9%, it means she will remain with 91% of her investment. Let the original investment is x.

So,

91\%\ of \ x=22,750\\\\\dfrac{91}{100}x=22,750\\\\x=\dfrac{22,750\times 100}{91}\\\\x=\$25000

So, her original investment is equal to $25000.

7 0
3 years ago
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