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EastWind [94]
2 years ago
5

Q1. In a fruit cocktail, for every 30 ml

Mathematics
1 answer:
lora16 [44]2 years ago
5 0

Answer:

3/10

Step-by-step explanation:

\frac{30}{30 + 20 + 50}   =  \frac{3}{10}

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PLEASE HELP ME SOLVE THIS, WHOEVER DOES WILL EARN 100 PTS!!!!!!!!!!!!!
Monica [59]

Step-by-step explanation:

(Assuming that this triangle is isosceles)

If this triangle is isosceles, then x° is going to be equal to its twin angle; 40°.

We can solve for z now.

180 = 40 + 40 + z

180 = 80 + z

Subtract 80 from both sides.

100 = z

z = 100°

Now that we know z = 100 degrees, we can begin to solve the expression (3x -20)

The expression sits on a 180° line and the angle z (100°) shares the line with the expression (3x - 20)°

180 = 100 + (3x - 20)

Subtract 100 from both sides.

80 = 3x - 20

Add 20 to both sides to isolate 3x

100 = 3x

Divide by 3 on both sides.

100/3 = 3x/3

33.33... = x

4 0
3 years ago
Read 2 more answers
Solve this system of linear equations. Separate
Elanso [62]

Answer:

(-3, -3)

Step-by-step explanation:

1.) Rewrite the second equation so 3y is on one side of the equation:

3y=6+5x

2.) Substitute the given value of 3y (replacing 3y with 6+5x, since we know they equal each other) into the equation 17x=-60-3y

Should end up with this:

17x=-60-(6+5x)

3.) Solve 17x=-60-(6+5x)

Calculate Difference: 17x=-66-5x

Combine Like Terms: 22x = -66

Divided both sides by 22 to isolate and solve for x: -3

So We know x=-3, now we got to find the y value. We can use either the first or second equation to find y value, so lets use the second.

3y=6+5x

1.) We know that x=-3, so we can simply substitute x in the equation

3y=6+5x with -3

3y=6+5(-3)

2.) Solve 3y=6+5(-3)

Combine Like Term: 3y=6+-15

Combine Like Term Even More: 3y= -9

Divide by 3 on both sides to isolate and solve for y: y=-3

So now we know y=-3 and once again we know x=-3, so if we format that

(-3,-3)

^  ^

x  y

4 0
3 years ago
Select the possible dimensions of a rectangular prism with volume of 48 in.
xenn [34]

Answer:

6 in * 4 in * 2 in

Step-by-step explanation:

Given the following data;

Volume of rectangular prism = 48 in³

To find its possible dimensions;

Volume of rectangular prism = length * breadth * height

48 = length * breadth * height

From the given options, option B is most likely to be its dimensions.

Where;

Length = 6 in

Breadth = 4 in

Height = 2 in

Substituting into the formula, we have;

48 in = 6 * 4 * 2

48 in = 48 in

8 0
2 years ago
. Mrs. Rojas deposited $8000 into an account paying 4% interest annually. After 8 months Mrs. Rojas withdrew the $6000 plus inte
Mashcka [7]

well, keeping in mind that a year has 12 months, that means that 8 months is 8/12 of a year, when Mrs Rojas pull her money out.

~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\to \frac{8}{12}\dotfill &\frac{2}{3} \end{cases} \\\\\\ A=6000[1+(0.04)(\frac{2}{3})]\implies A=6000\left( \frac{77}{75} \right)\implies A=6160

well, she put in 6000 bucks, got back 160 extra, that's the interest earned in the 8 months.

what if she had left her money for 1 whole year, then

~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &1 \end{cases} \\\\\\ A=6000[1+(0.04)(1)]\implies A=6240

so had she left it in for a year, she'd have gotten 6240, namely 240 in interest, well, what fraction of a year's interest was earned? or worded differently, what fraction is 160(8 months) of 240(1 year)?

\cfrac{\stackrel{\textit{for 8 months}}{160}}{\underset{\textit{for 12 months}}{240}}\implies \cfrac{2}{3}

4 0
2 years ago
A scale model of a car is 10 in. long. The actual car is 15 ft long. What is the scale of the model?
nikklg [1K]
Oh this question is kinda tricky. At first glance it’s 1 : 1.5 but notice the units. The model car is 10 inches long and the actual car is 15 feet long.

I think you know where to go from there, but 15 feet * 12 inches = 180 inches.

10 : 180 simplifies to 1 : 18 inches
5 0
2 years ago
Read 2 more answers
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