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castortr0y [4]
3 years ago
9

2(4w-1)=-10(w-3)+4 help

Mathematics
2 answers:
solniwko [45]3 years ago
7 0

Answer:

w = 12

Step-by-step explanation:

2(4w-1)=-10(w-3)+4

2*4w + 2*-1 = (10*w + 10*-3) + 4

8w - 2 = 10w - 30 + 4

8w - 2 = 10w - 26

26 - 2 = 10w - 8w

24 = 2w

w = 24/2

w = 12

Check:

2((4*12)-1) = 10(12-3) + 4

2(48-1) = 10(9) + 4

2*47 = 90 + 4 = 94

zalisa [80]3 years ago
7 0

Step-by-step explanation:

2 \times 4w - 2 \times  1 = 10 \times w - 10 \times 3 + 4 \\ 8w - 2 = 10w - 30 + 4 \\ collect \: like \: terms \\ 8w - 10w =  - 30 + 4 + 2 \\  - 2w =  - 24 \\ divide \: both \: side \: by \:  - 2 \\  - 2w \div  - 2 =  - 24 \div  - 2 \\ w = 12

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How much of a spice that is 3% salt should be added to 175 ounces of a spice that is 6% salt in order to make a spice that is 5%
Nonamiya [84]

Answer:

Let y represents the ounces of first spice.

From the given statements, we draw a table as shown below:

                          ounces of spice        Percentage          ounces of salt

First spice                 y                              3%                            0.03x

Second spice           175                            6%                          175(0.06)

Final  mixture          y + 175                         5%                        (x+15)(0.05)

Now, to solve for y

we have;

Final spice = First spice + second spice

0.03y + 175(0.06) = (y+175)(0.05)

0.03y+ 10.5= 0.05y+ 8.75

Subtract 10.5 on both sides we have;

0.03y+ 10.5 -10.5= 0.05y+ 8.75 -10.5

Simplify:

0.03y = 0.05y -1.75

Subtract 0.05y on both sides

0.03y -0.05y= 0.05y -1.75-0.05y

Simplify:

-0.02y = -1.75

Divide both sides by -0.02, we get;

y = \frac{-1.75}{-0.02} = 87.5

Therefore, 87.5 ounces of spices that is 3% salt should be added to 175 ounces of a spice that is 6% salt in order to make a spice that is 5% salt


5 0
3 years ago
Read 2 more answers
ALL MY POINTS !!! (But 2 for 1)
Lynna [10]

Answer:

1. Jenny is 20 and Leo is 10 years old now

2. They'll meet at the 60th day after their last meeting on Monday

Step-by-step explanation:

1.

Given

Let J represents Jenny and L represents Leo

From the question;

J = 2L ---- Now

J - 5 = 3(L - 5) --- 5 years ago

Required

Find J and L

Substitute 2L for J in the second equation.

This gives

2L - 5 = 3(L - 5)

Open bracket

2L - 5 = 3L - 15

Add 15 - 2L to both sides

2L - 5 + 15 - 2L = 3L - 15 + 15 - 2L

Collect like terms

2L - 2L - 5 + 15 = 3L - 2L - 15 + 15

10 = L

L = 10

Substitute 10 for L in J = 2L

J = 2 * 10

J = 20

Hence, Leo is currently 10 years old and Jenny is currently 20 years old.

2. Give

Liza = once every 6 days.

Jenny = once every 4 days

Olga = once every 10 days.

Required

When next will they meet

This question implied that the we get the least common factor of the given data.

Liza = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72.....

Jenny. = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64....

Olga = 10, 20, 30, 40, 50, 60, 70, 80....

From the above, 60 is the least common factor.

Hence, we'll conclude that they'll meet after 60 days.

5 0
4 years ago
Read 2 more answers
Please help this is due tomorrow morning
Minchanka [31]

Answer:

I can try to help you..uhh alright 1ll it's definitely multiplying by 4 on the bottom but adding 1 one the top. I'm not sure if i'll be correct but try 1 and 4 i'm so sorry if it doesn't help!

7 0
3 years ago
Find the height of the pole if the shadow of a boy 6ft tall is 3ft and the shadow of the pole is 2 1/3 yards
Minchanka [31]

Answer:

The pole 21 feet tall.

Step-by-step explanation:


4 0
3 years ago
Write an expression with a value of 12 It should contain four numbers and two different operations
Umnica [9.8K]
12X1
11+1
21-9
20-8
There is a lot more to make it 12
6 0
3 years ago
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