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jasenka [17]
3 years ago
5

A glass is 4/7 full . Then 70cm3 of orange juice is poured in . The glass is now 2/4 full. What is the total volume of the glss

Mathematics
2 answers:
lesya [120]3 years ago
5 0

Answer:

waffle

Step-by-step explanation:

waffaline waffalda,sld

waffaline waffalda,sld

waffaline waffalda,sld

Korolek [52]3 years ago
3 0
Let 
x--------------> total volume of a glass

we know that
(4/7)x-70=(2/4)x------------> (4/7)x-70=(1/2)x--------> 2*(4/7)x-2*70=x
(8/7)x-140=x

<span>multiplied by 7 the expresion
</span>7*(8/7)x-7*140=7*x-----------> 8x-980=7x--------> x=980 cm³

the answer is 
<span>the total volume of the glass is 980 cm</span>³
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Which of the following is an extraneous solution of the square root of -3x-2=x+2
yarga [219]

Answer:

x=-6 is an extraneous solution

Step-by-step explanation:

we have

\sqrt{-3x-2} =x+2

squared both sides

-3x-2=(x+2)^2

-3x-2=x^2+4x+4

x^2+7x+6=0

solve the quadratic equation by graphing

The solution is x=-6 and x=-1

see the attached figure

<u><em>Verify each solution</em></u>

substitute the value of x in the original expression

For x=-6

\sqrt{-3(-6)-2} =-6+2

\sqrt{16} =-4

4=-4 ----> is not true

so

Is an extraneous solution

For x=-1

\sqrt{-3(-1)-2} =-1+2

\sqrt{1} =1

1=1 ----> is true

so

Is the solution

4 0
3 years ago
For each model below write the portion of the grid that is shaded as a percent and as a fraction. EXPLAIN.
Rudik [331]

Answer:

Just find the area of each shape .fir the first triangle it will be (0.5 x6 x6) so the answer is 18 . So the shaded part is 18 out of 100 or 18% . And so on for the trapezoid and the combined figure of square and triangle together

Step-by-step explanation:

5 0
3 years ago
If there are 1000 grams in a kilogram in 454 grams in a pound how many pounds are there in a kilogram?
MaRussiya [10]

Answer:

2.2

Step-by-step explanation:

A kilogram is 2.2lbs so if you weigh yourself and it says you weigh 60k then you multiply 60 times 2.2 you get 132lbs.

6 0
4 years ago
Anne, Barry, and Cathy enter a coffee shop. Anne orders two coffees, one juice, and two doughnuts and pays $7.50. Barry orders o
Evgesh-ka [11]

Answer:

Coffee = $2.00

Juice = $1.50

Doughnut = $1.00

Step-by-step explanation:

Given

Let:

c = coffee\\ j= juice\\ d = doughnut

So, we have:

Anna

2c + j + 2d = 7.50

Barry

c + 3d = 5.00

Cathy

3c + j + 4d = 11.50

Required

The price of each

We have:

2c + j + 2d = 7.50

c + 3d = 5.00

3c + j + 4d = 11.50

Make c the subject in: c + 3d = 5.00

c = 5.00 - 3d

Substitute c = 5.00 - 3d in 2c + j + 2d = 7.50 and 3c + j + 4d = 11.50

2c + j + 2d = 7.50

2[5.00 - 3d] + j + 2d = 7.50

10.00 - 6d+ j + 2d = 7.50

Make j the subject

j = 7.50 - 10.0 +6d - 2d

j = -2.50 +4d

3c + j + 4d = 11.50

3[5.00 - 3d] + j + 4d = 11.50

15.00 - 9d + j + 4d = 11.50

Make j the subject

j = 11.50 - 15.00 + 9d -4d

j = -3.50 + 5d

So, we have:

j = -3.50 + 5d and j = -2.50 +4d

Equate both values of  j

-3.50 + 5d = -2.50 + 4d

Collect like terms

5d - 4d = 3.50 -2.50

d = 1.00

Substitute d = 1.00 in j = -3.50 + 5d

j = -3.50 + 5d

j = -3.50 + 5 * 1.00

j = -3.50 + 5.00

j = 1.50

To solve for c, we substitute d = 1.00 in c + 3d = 5.00

c + 3 * 1.00 =5.00

c + 3.00 =5.00

Solve for c

c =- 3.00 +5.00

c =2.00

7 0
3 years ago
What is 8/9 divided by 10/3?
Paraphin [41]
8/9 divided by 10/3= 4/15
8 0
3 years ago
Read 2 more answers
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