Evaluate the expression when a = –1.4 and b = –2.7. |a| + b A.–1.3
B.–4.1
C.4.1
D.1.3
Solve for x.
A.x = 35
B. 9 2/7
C.x = 63
D. 31 1/2
Graph the solution of the inequality.
14 < 2t + 18 ≤ 20
Answers
It's 1.3 I took the test
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Simplify. 10.5 • (–3) ÷ 10 • (–2) ÷ 0.5 A. –12.6 B. –3.15 C. 12.6 D. 3.15
Answers
First of all we need to find the slope. We can use the equation below.
The ones and twos just represent a y or x value from one of the ordered pairs, so for example on ordered pair could represent the ones(note that the ones and twos can be switched and the slope will remain the same).
In our case we will have (-5,-2) be (
Therefore the slope of our line is 7/9.
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Now we need to find the y-intercept to have the equation for our line. We will put the slope and two points from the line into slope intercept form and solve for b (we will use (4,5)).
5=4(7/9)+b
5-b=3 1/9
5+(-b)=3 1/9
-b=-2 1/9
b=2 1/9
Now that we have our value for b we will put it in slope intercept form.
y=7/9x+(2 +1/9)
I hope this helps!
First thing is to find the slope using the formula m = Δy ÷ Δx
m = 5 - (-2) ÷ 4 - (-5)
Now we simplify
m = 7 ÷ 9
Our equation so far is y = 7/9x + b. Now we can substitute the values of x and y from a point to figure out the answer. The equation here uses the point (4,5)
5 = 7/9 · 4 + b
Get b on one side
5 - 28/9 = b
Simplify
b = 1 + 8/9
That makes the equation of the line y = 7/9x + (1 + 8/9)
Answers
a(5-2)=14
a=14/5-2
a=14/4
a=3.5
Answer:4 2/3
Step-by-step explanation:
5a-5=7+2+2a (combine like terms; 7+2=9)
5a-5=9+2a (subract 2a from both sides; 5a-2a=3a)
3a-5=9 (add 5 to both sides; 9+5=14, -5+5=0)
3a=14 (divide both sides by 3; 14/3= 4 2/3)
2.List from least to greatest
3.Find the Mode
4.Find the Median
Answers
Mode: 7
Median: 7
Range: 2 - 9
Answers
That is basically 7 7/10
3. Rewrite 5 and 1/4 as an improper fraction. Explain your answer .
4. Rewrite 7 and 2/3 as an improper fraction. Explain your answer .
5. Rewrite 9 and 3/5 as an improper fraction. Explain your answer.
Can anyone explain this to me? Will give brailiest.
Answers
3 1/3 is the same as 3 + 1/3.
3 + 1/3 =
Write 3 as a fraction.
= 3/1 + 1/3
You need 3/1 to have a denominator of 3, so you get
= 9/3 + 1/3
= 10/3
10/3 is the same as 3 1/3.
10 divided by 3 = 3 reminder 1, so 10/3 = 3 1/3
2.
6 8/9 = 6 + 8/9 =
= 6/1 + 8/9
= 54/9 + 8/9 = 62/9
3.
5 1/4 = 5 + 1/4 =
= 5/1 + 1/4
= 20/4 + 1/4
= 21/4
4.
7 2/3 = 7 + 2/3 =
= 7/1 + 2/3
= 21/3 + 2/3
= 23/3
5.
9 3/5 = 9 + 3/5 =
= 9/1 + 3/5
= 45/5 + 3/5
= 48/5
Now that I showed you 5 times how to change a mixed numeral into an improper fraction by adding the whole number part and the fraction part, I will show you a shortcut.
Example 1.
Change 5 1/4 into a mixed numeral.
Multiply the whole number, 5, by the denominator and add the numerator.
5 * 4 + 1 = 20 + 1 = 21
Then set this number over the denomiator, 21/4
5 1/4 = 21/4
Example 2.
Change 7 2/3 into an improper fraction.
7 * 3 + 2 = 21 + 2 = 23
Write 23 over the denominator, 3.
7 2/3 = 23/3
3 and 1/3 is equal to 10/3 because a whole number would be 3/3 and we have 3 whole numbers plus 1/3
3/3
3/3
3/3
1/3
add it up and you get 10/3
Answers
150n=10,000
n=10,000/150
=(1,000*10)/(15*10)
=1,000/15
=200/3
=66+2/3
$100 is approximately 66.6% of $150, therefore the percent decrease was approximately 33.3%.