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4 years ago

16 more than s is at most −80.

Mathematics

1 answer:

polet [3.4K]4 years ago

4 0

Answer:

s + 16 ≤ −80

Step-by-step explanation:

Analyze each part in the word equation:

"16 more than s" s increased by 16; s + 16

"is at most" is equal to or less than; ≤

"−80" -80

Put the equation back together:

s + 16 ≤ −80

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Write the denominator of the rational number257/500 in the form 2 m x 5 n , m and n are negative integers Hence write its decima

maw [93]

Answer:

0.514

Step-by-step Explantion:

Denominator = 500 = 2^2 * 5^3

257/500 = 257/2^2*5^3 = 2*257/2*2^2*5^3 = 514/2^3*5^3 = 514/(2*5)^3 = 514/10^3 = 0.514

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3 years ago

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They’re similar so their ratio should be equal
The scale is 5:6
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3 years ago

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If a driver takes 6 hours to get to the town market which is 336 km away from his house, what is his average speed?

aev [14]

Answer:

$56\ \text{km/h}$

Step-by-step explanation:

$t$ = Time taken = $6\ \text{hours}$

$d$ = Distance = $336\ \text{km}$

Average speed is given by

$s=\dfrac{\text{Distance}}{\text{Time}}=\dfrac{d}{t}$

$\Rightarrow s=\dfrac{336}{6}$

$\Rightarrow s=56\ \text{km/h}$

The average speed of the driver is $56\ \text{km/h}$ .

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3 years ago

Determine if the following lines are parallel (never intersect), perpendicular (intersect at a 90 degree angle), intersecting

Mashutka [201]

You have to put the same number on it

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2 years ago

The third term of an arithmetic sequence is equal to 9 and the sum of the first 8 term is 42. Find the first term and the common

zloy xaker [14]

Answer:

The first term is 14

The common difference is -2.5

Step-by-step explanation:

we know that

The rule to calculate the an term in an arithmetic sequence is

$a_n=a_1+d(n-1)$

where

d is the common difference

a_1 is the first term

we have that

The third term of an arithmetic sequence is equal to 9

$a_3=9$

$n=3$

substitute

$9=a_1+d(3-1)$

$9=a_1+2d$ ----> equation A

The rule to find the sum of the the first n terms of the arithmetic sequence is equal to

$S=\frac{n}{2} [2a_1+(n-1)d]$

we have

The sum of the first 8 term is 42

$S=42$

$n=8$

substitute

$42=\frac{8}{2} [2a_1+(8-1)d]$

$42=4[2a_1+7d]$

$10.5=2a_1+7d$ ----> equation B

Solve the system of equations

$9=a_1+2d$ ----> equation A

$10.5=2a_1+7d$ ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

the solution is (14,-2.5)

see the attached figure

therefore

$a_1=14\\d=-2.5$

The first term is 14

The common difference is -2.5

8 0

3 years ago