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Marianna [84]
3 years ago
13

What is 75 + 15x ≥ 140

Mathematics
1 answer:
melomori [17]3 years ago
8 0
75+ 15x ≥ 140
⇒ 15x ≥ 140-75
⇒ 15x ≥ 65
⇒ x ≥ 65/15
⇒ x ≥ 13/3
⇒ x ≥ 4 1/3

Final answer: x ≥ 4 1/3~
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The 8th and 20th terms of an arithmetic sequence are 20 and 56 respectively. ​What is the 1st term of the sequence.
Ostrovityanka [42]

Answer:

<h3>             a₁ = -1</h3>

Step-by-step explanation:

a_n=a_1+d(n-1)\\\\a_8=a_1+d\cdot7\\\\a_{20}=a_1+d\cdot19\\\\a_{20}-a_8=a_1+19d-(a_1+7d)=12d\\\\56-20=2d\\\\12d=36\\\\d=3\\\\\\ a_1+3\cdot7=20\\\\a_1=20-21=-1

6 0
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Find the explicit formula that produces the given sequence. <br> 3/2, 3/4, 3/8, 3/16,...
lara [203]
\frac{3}{2};\ \frac{3}{4};\ \frac{3}{8};\ \frac{3}{16};\ ...\\\\a_1=\frac{3}{2}\\\\a_2=\frac{3}{4}=\frac{3}{2}\cdot\frac{1}{2}\\\\a_3=\frac{3}{8}=\frac{3}{4}\cdot\frac{1}{2}=\frac{3}{2}\cdot\left(\frac{1}{2}\right)^2\\\\a_4=\frac{3}{16}=\frac{3}{8}\cdot\frac{1}{2}=\frac{3}{2}\cdot\left(\frac{1}{2}\right)^3\\\vdots
a_n=\frac{3}{2}\cdot\left(\frac{1}{2}\right)^{n-1}=\frac{3}{2}\cdot\left(\frac{1}{2}\right)^{-1}\cdot\left(\frac{1}{2}\right)^n=\frac{3}{2}\cdot2\cdot\left(\frac{1}{2}\right)^n=3\cdot\left(\frac{1}{2}\right)^n
7 0
3 years ago
Who can help me with this
Jlenok [28]
The answer would be A.
3 0
3 years ago
A local animal shelter has many cats and dogs. The shaded part represents the percent of animals that are dogs. If there are 82
frutty [35]

Answer:

weel if you divide 82 by 2 then it you will get the number of cats which is 41 then add 82 + 41 =123

Step-by-step explanation:

mark me brainliest

3 0
2 years ago
You’ve been asked to order cake for your school dance. Here’s a formula for the scenario: z=xa/y
olga nikolaevna [1]

Answer:

The number of cake for order is 15 cakes .

Step-by-step explanation:

Given as :

Total number of people to attend the dance = x = 60

The number of slices each person will eat = A = 2 slices

The number of slices per cake = y = 8 slices

Let The number of cake for order = z

<u>Now, According to question</u>

Total slices of cake required for 60 people when each people eat 2 slices = total number of people × number of slices each person will eat

i.e Total slices of cake required for 60 people when each people eat 2 slices = x × A

Or, Total slices of cake required for 60 people when each people eat 2 slices = 60 × 2 slices

Or,Total slices of cake required for 60 people when each people eat 2 slices = 120 slices

<u>Again</u>

∵ number of slices per cake = 8

∴ The number of cake for order = \dfrac{\textrm Total slices of cake required for 60 people when each people eat 2 slices}{\textrm number of slices per cake }

Or, z = \frac{x\times A}{y}

i.e z = \frac{120}{8}

∴   z = 15 cakes

So,The number of cake for order = z = 15 cakes

Hence,The number of cake for order is 15 cakes . Answer

7 0
3 years ago
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