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torisob [31]
3 years ago
11

PLEASE HELP!!!!!!!!!!

Mathematics
2 answers:
notka56 [123]3 years ago
4 0

Answer:

The answer is the option b

m, m

Step-by-step explanation:

we know that

If angle 1 and angle 2 are supplementary

then

their sum is equal to 180\°

so

(3x-4)\°+(8x-14)\°=180\° -------> solve for x

(11x-18)\°=180\°

11x=180\°+18\°

x=198\°/11=18\°

m

m

Sedbober [7]3 years ago
3 0
(3x-4)+(8x-14)= 180

11x-18=180
+18 +18
----------------

11x=198
x=18



m<1= 3(18)-4
m<1= 50

m<2=8(18)-14
m<2=130

Answer is B.

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Graeme earns $4.23 for each half hour that he works. How much will he make after 4 hours of work?
Evgesh-ka [11]

Answer:

4.23*8=33.84

Graeme will make $33.84 after four hours of work.

7 0
2 years ago
Sarah would like to make a 6 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of a mixture that is 80%
ivolga24 [154]

Answer:  

<em>a.  The system of equations that models the situation is....</em>

<em>     0.80x+0.50y=3.60\\\\ 0.20x+0.50y=2.40</em>

<em>b.  The solution to the system:  x = 2 and y = 4 </em>

<em>The amount of 80/20 mixture is 2 pounds and the amount of 50/50              mixture is 4 pounds.</em>

Step-by-step explanation:

Suppose, the amount of 80/20 mixture is  x pounds and the amount of 50/50 mixture is  y pounds.

So, the amount of peanuts in 80/20 mixture = 0.80x pound and the amount of almonds in 80/20 mixture =0.20x pound.

And the amount of peanuts in 50/50 mixture =0.50y pound and the amount of almonds in 50/50 mixture =0.50y pound.

Now, Sarah would like to make a 6 pounds nut mixture that is 60% peanuts and 40% almonds.

So, the amount of peanuts in that mixture =(6\times 0.60)=3.60 pounds

and the amount of almonds in that mixture =(6 \times 0.40)= 2.40 pounds.

So, the system of equations will be.........

0.80x+0.50y=3.60 ...................(1)\\\\ 0.20x+0.50y=2.40...................(2)

Subtracting equation (2) from equation (1), we will get.....

(0.80x+0.50y)-(0.20x+0.50y)=3.60-2.40\\ \\ 0.60x=1.20\\ \\ x= \frac{1.20}{0.60}=2

Now, plugging this x=2 into equation (1), we will get......

0.80(2)+0.50y=3.60\\ \\ 1.60+0.50y=3.60\\ \\ 0.50y=3.60-1.60=2\\ \\ y=\frac{2}{0.50}=4

So, the amount of 80/20 mixture is 2 pounds and the amount of 50/50 mixture is 4 pounds.

7 0
3 years ago
What is the solutions to the equation w/2w-3=4/w
labwork [276]

Answer:

{2, 6}

Step-by-step explanation:

w/2w-3=4/w  is ambiguous.  Did you mean

   w            4

---------- = ------     ?  If so, please enclose "2w - 3" inside parentheses.

2w - 3       w

Cross multiplying, we get w² = 8w - 12.

Putting this into standard form, we get:

w² - 8w + 12 = 0, which factors into (w - 2)(w - 6) = 0.

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7 0
3 years ago
How many two thirds are in 42?
noname [10]
28, by the way you could’ve just used a calculator
7 0
3 years ago
Read 2 more answers
Calculate the annual return percentage
xenn [34]
The annual return percentages will be evaluated using the formula:
A=P(1+r/100)^n
where:
A=amount
P=principle
r=rate
n=time

a] A=$500, P=$400, n=1 years
500=400(1+r)^1
solving for r we shall obtain:
1.25=1+r
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r=1.25-1
r==0.25
annual rate of investment is 25%

b] A=2500+100=$2600, P=$ 2000, n=1 year
hence
2600=2000(1+r)^1
2600/2000=1+r
1.3=1+r
r=1.3-1
r=0.3 
annual rate of investment is 30%
5 0
3 years ago
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