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melisa1 [442]
3 years ago
14

Which number line models the sum of 1+(−2) correctly?

Mathematics
1 answer:
Tomtit [17]3 years ago
7 0

Answer:

option 3

Step-by-step explanation:

you add one, so the arrow goes one space to 1

since youre sutracting -2, the arrow goes ack two spaces to -1

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1/2r -3= 3 (4-3/2r) solve for r
s2008m [1.1K]

1/2r -3= 3 (4-3/2r) is to be solved for r.


I'll begin by making the assumptions that by 1/2r you actually meant (1/2)r and that by 3/2r you actually meant (3/2)r. When in doubt, please use parentheses to make your meaning clear.


Thus, 1/2r -3= 3 (4-3/2r) becomes (1/2)r -3= 3 (4-(3/2)r ) .

Simplify this by multiplying all 3 terms by 2. Doing this will eliminate the fractions:


r -6 = 3 (4*2-(3)r ) or r - 6 = 24 - 9r


Now expand the right side, using the distributive property of

r - 3 = 24 - 9r


Regrouping so as to combine like terms:


10r = 30


Solving for r: r = 30/10 = 3


The value of r that satisfies this equation is 3

8 0
3 years ago
Elise is a project manager.
KengaRu [80]

\text{In 2016, Elise earned a monthly salary of }\pounds 2100\\
\text{and in 2017, she earned a }3\% \text{ pay increase on her monthly salary.}\\
\text{so her increased monthly salary in 2017 is}=2100+3\% \text{ of 2100}\\
\\
=2100+0.03(2100)\\
\\
=2100+63\\
\\
=\pounds 2163\\
\\
\text{now given that in 2017 Elise worked 42 hours  per week for 45 weeks.}\\
\text{so the total number of hours she worked in 2017 is}=42\times 45=1890\text{ hours}

\text{And the total earning of Elise in 2017}=2163\times 12=\pounds 25956\\
\\
\text{So her average per per hour in 2017 is}=\frac{25956}{1890}\approx \pounds 13.73

Hence her average pay per hour in 2017 is 13.73 pounds

3 0
4 years ago
Read 2 more answers
A 10 sided die is numbered 1-10 if you roll it 60 times what is the best prediction for how many times you would eithrr a 1 or 2
Kamila [148]

Answer: 12

Step-by-step explanation:

So if its 1-10, and you can either roll a 1 or 2, it would be 2/10, then simplified to 1/5, and in order to get the answer you need to multiply it by 60

1/5 x 60/1 = 12

(sorry if I got it wrong, feel free to correct me if I did)

8 0
3 years ago
Enter the values for the variables that give the correct simplified expressions, x = ≥ 0.
ELEN [110]

Answer:

b= 2x²; c = 4; 3 = 3 ; g = 6x

Step-by-step explanation:

\textbf{(1)}\\\sqrt{50{x}^{2} } = \sqrt{25\times2x^{2}} = 5\times \mathbf{\sqrt{2x^{2}}}\\\textbf{b = 2x}^{2}\\\\\textbf{(2)}\\\sqrt{32x} = \sqrt{16 \times 2x} = \mathbf{4}\times \sqrt{2x}\\\textbf{c = 4}\\\\\textbf{(3)}\\\sqrt{18n} = \sqrt{9 \times 2n} = \mathbf{3}\times \sqrt{2n}\\\textbf{e = 3}\\\\\textbf{(4)}\\\sqrt{72x^{2}} = \sqrt{36 \times 2x^{2}} = 6\times \sqrt{2} \times x\\= \mathbf{6x}\sqrt{2}\\\textbf{g = 6x}

3 0
3 years ago
Read 2 more answers
Which of the following is a secant on the circle below?
aliya0001 [1]

Answer:

A and B

Step-by-step explanation:

A secant is a line which intersects a circle at 2 points

SU and RT both intersect the circle at 2 points and are secants

7 0
3 years ago
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