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Vladimir [108]
3 years ago
8

I NEED HELP PLEASE !!!!

Mathematics
1 answer:
Vinvika [58]3 years ago
7 0

Answer:

6

Step-by-step explanation:

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(1) Write the ratio of the volumes of the 500ml bottle and the 2-litre bottle of milk in its simplest form.
Vadim26 [7]

Answer:

1] 1 : 4

2] 250ml

Step-by-step explanation:

1] 500ml : 2 litre

First, the units must be the same.

<em> 2 litre = 2000ml</em>

500ml : 2000ml

     5 : 20

      <u>1 : 4</u>

<u></u>

2]  \frac{2}{4} × 500

= 250ml

8 0
3 years ago
Can some please help and explain your steps thanks
boyakko [2]
For A you would have to convert from that equation to the slope-intercept form of the equation. To do that, first add 2x to both sides, because you want to have x on the right side of the equation. And that's it! That gives you 4y = 2x + 8. And from that equation you can identify the slope (2) and the y-int (8)

For B, the same thing. Converting to slope-intercept form, just with an extra step. First, you would subtract 1y from both sides to move it to the left of the equal sign, since that's where it needs to be for slope-intercept form. That gives you -1y + 7 = -x. Don't worry about the negatives for now. Next, subtract 7 from both sides to get y by itself on the left (because that's how it is in slope-intercept form) which gives you -1y = -x - 7. Then, because you can't have negative variables, divide both sides by negative 1 (a negative divided by a negative equals a positive), to equal y = x + 7. (I've attached a picture showing my steps if the words are too confusing)

For C, you need to find the slope first, then use the slope to find the y-intercept. So subtract. (I've shown in the picture) that equals -8 over 4 which simplifies to -2. So -2 is the slope! Now to find the y-intercept, plug in an ordered pair from the problem (doesn't matter which one) and the slope to find the y-intercept (b). I'm just going to use (-2, 5). So plug in the y from the pair (5) and the slope (-2) and the x from the pair (-2) into the slope-intercept equation to equal 5 = -2(-2) + b. Since you don't know b (the y-intercept) leave it blank and solve like a one step equation! (steps in the picture). And there you have it, the slope is -2 and the y-int is 1!

For D, it's like C, but you dont have the chart. Use subtraction to find the slope. Change in y over change in x (which means subtract the y values and divide them by the difference in x values). So. You'd do 0 - 3 over -6 - 3 which equals -3 over -9, which simplifies to 1/3. And that's your slope! So to find the y-int just do the same thing you did in the last problem, plug in an ordered pair and the slope into the slope-intercept equation and solve as a one step equation (steps in picture). And there you have it, the slope which is 1/3, and the y-int which is 2.

6 0
3 years ago
Four interior angles of a pentagon measure 156 degrees 72 degrees 98 degrees and 87 degrees. What is the measure of the final in
zepelin [54]

Answer:

127°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180°(n - 2) ← n is the number of sides

here n = 5 ( Pentagon), hence

sum = 180° × 3 = 540°

To find the fifth angle subtract the sum of the 4 given angles from 540

angle = 540° - (156 + 72 + 98 + 87) = 540° - 413° = 127°


6 0
3 years ago
A fund earns a nominal rate of interest of 6\% compounded every two years. Calculate the amount that must be contributed now to
Nesterboy [21]

Answer:

$712.

Step-by-step explanation:

We have been given that a fund earns a nominal rate of interest of 6% compounded every two years. We are asked to find the amount that must be contributed now to have 1000 at the end of six years.

We will use compound interest formula to solve our given problem.

A=P(1+\frac{r}{n})^{nt}, where,

A = Final amount,

P = Principal amount,

r = Annual interest rate in decimal form,  

n = Number of times interest is compounded per year,

t = Time in years.

6\%=\frac{6}{100}=0.06

Since interest is compounded each two years, so number of compounding per year would be 1/2 or 0.5.

1000=P(1+\frac{0.06}{0.5})^{0.5*6}

1000=P(1+0.12)^{3}

1000=P(1.12)^{3}

1000=P*1.404928

\frac{1000}{1.404928}=\frac{P*1.404928}{1.404928}

P=711.7802478

P\approx 712

Therefore, an amount of $712 must be contributed now to have 1000 at the end of six years.

7 0
3 years ago
1/2(12+4)1/6<br><br> in simplified form
Alexandra [31]

Answer:

1/2×16×1/6=16/12=4/3

8 0
2 years ago
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