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1 year ago

"The sum of -9 and -14 " translates to

Mathematics

2 answers:

Shalnov [3]1 year ago

8 0

Answer:

-9 - 14 (This equals -25)

Step-by-step explanation:

So the sum is: -9 + (-14)

Cancel out: -9-14

Pie1 year ago

7 0

Answer:

-25

Step-by-step explanation:

basically just do it as it was a positive then add the negative sign

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A sequence is constructed according to the following rule: its first term is 7, and each next term is one more than the sum of t

Iteru [2.4K]

Answer:

Step-by-step explanation:

According to the described rule, we have

$a_1=7\\ \\a_1^2=7^2=49\Rightarrow a_2=4+9+1=14\\ \\a_2^2=14^2=196\Rightarrow a_3=1+9+6+1=17\\ \\a_3^2=17^2=289\Rightarrow a_4=2+8+9+1=20\\ \\a_4^2=20^2=400\Rightarrow a_5=4+0+0+1=5\\ \\a_5^2=5^2=25\Rightarrow a_6=2+5+1=8\\ \\a_6^2=8^2=64\Rightarrow a_7=6+4+1=11\\ \\a_7^2=11^2=121\Rightarrow a_8=1+2+1+1=5\\ \\\text{and so on...}$

We can see the pattern

$a_5=a_8=a_{11}=a_{14}=...=5\\ \\a_6=a_9=a_{12}=a_{15}=...=8\\ \\a_7=a_{10}=a_{13}=a_{16}=...=11$

In other words, for all $k\ge 2$

$a_{3k-1}=5\\ \\a_{3k}=8\\ \\a_{3k+1}=11$

Now,

$a_{2018}=a_{3\cdot 673-1}=5$

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3 years ago

How many solutions does the equation have?

Elina [12.6K]

9514 1404 393

Answer:

1 solution

Step-by-step explanation:

The coefficients of d are different on the two sides of the equation (3d vs 6d), so the equation has one solution.

Dividing by 3 gives ...

d +11 = 2(d +33)

d + 11 = 2d + 66

Adding -d-66 to both sides gives ...

-55 = d . . . . . . the one solution

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2 years ago

A lotion is made from an oil blend costing $1.50 per ounce and glycerin costing $1.00 per ounce. Four ounces of lotion costs $5.

vovikov84 [41]

Answer:

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Step-by-step explanation:

Let g be the amount of glycerin in the lotion. We know that there are 4 ounces total of lotion; this means that there are 4-g ounces of the oil blend.

The oil blend costs $1.50 per ounce; this gives us the expression (4-g)1.5 for the oil blend.

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3 years ago

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