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Arisa [49]
3 years ago
11

HELP ASSAAAAPPP!!!

Mathematics
1 answer:
galina1969 [7]3 years ago
3 0

Answer:

14

Step-by-step explanation:

Jack drove 278.2 miles on 19.6 gallons of gasoline. then

278.2 miles - 19.6 gallons

x miles - 1 gallon

Write a proportion:

\dfrac{278.2}{x}=\dfrac{19.6}{1}

Cross multiply:

19.6\cdot x=278.2\cdot 1\\ \\19.6x=278.2\\ \\x=\dfrac{278.2}{19/6}\approx 14\ miles

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Consider the following statement: ∀ a, b, c ∈ Z, if a − b is even and b − c is even, then a − c is even.
kirill115 [55]

Answer Step-by-step explanation:

Given statement if a-b is even and b-c is even then a-c is even .

Let p: a-b and b-c are even

q: a-c is even.

Converse: If a-c is even then a-b and b-c are both even.

Inverse:If a-b and b-c  are not both even then a-c is not even.

If a= Even number

b= Even number

c=Even number

If a-c  is even then a-b and b-c are both even..Hence, the converse statement is true.

If a=Odd number

b=Odd number

c= Odd number

If a-c is even then a-b and b-c are both even number .Hence, the converse  statement is true.

If a=Even number

b= Even number

c= Odd number

a-b  and b-c are both odd not even number but a-c is even number

a=8,b=6 c=3

a-b=8-6=2

b-c=6-3=3

a-c=8-3=5

If a-c is odd then a-b even but b-c is odd .Hence , the converse statement is false.But the inverse statement is true.

If a= Odd number

b=Even number

c= Even number

If a-b is odd and b-c is even then a-c is odd not even . Hence, the inverse statement is true.

If a= Odd number

b=Eve number

c=Odd number

a=9,b=6,c=5

a-b=9-6=3

b-c=6-5=1

a-c=9-5=4

Here, a-b and b-c are not both even but a-c is even .Hence, the inverse statement is false.

4 0
4 years ago
Do you ever subtract using the z-score?<br><br> A) yes<br> B) no<br> C) sometimes
gulaghasi [49]
C sometimes, It seems to be completely arbitrary when one must subtract the z-score table value from 1. ... So that's great if you want the left tail of a distribution, but if you want a right tail then you need to calculate the left tail and subtract it from 1 (which is the area of the entire standard normal curve).
4 0
3 years ago
Which of the following is the measure of
jonny [76]

Answer:

The answer to your question is 31.4°

Step-by-step explanation:

Data

SR = 54 cm

SQ = 99 cm

RQ = 141 cm

∠QRS = ?

Process

1.- Use the law of cosines to find ∠QRS

          cos QRS = (SQ² - RS² - RQ²) / -2(SR)(RQ)

-Substitution

          cos QRS = (99² - 54² - 141²) / -2(54)(141)

-Simplification

          cos QRS = (9801 - 2916 - 19881) / -15228

          cos QRS = -12996 / -15228

          cos QRS = 0.85343

2.- Find QRS

            ∠QRS = 31.4°

4 0
3 years ago
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(Will award Brainliest &amp; many points! Please Assist)
DanielleElmas [232]

Answer:

the x-intercept is (5,0)

Step-by-step explanation:

7 0
3 years ago
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A plumber has a 40-foot piece of PVC pipe. How many 11/5 foot pieces can be cut from the 40 foot piece?
Lena [83]

Hello,

40 ÷ 11/5 = 40 × 5 / 11 ≈ 18

5 0
4 years ago
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