2) Carlos makes 1 pound of snack mix using nuts, raisins, and cereal. He uses 1/3 pound of 10

Oleg, Sasha, and Dima share 600 toys. Sasha has twice as many toys as Oleg. Dima has 40 more toys than Oleg. How many toys does

Anika [276]

Answer: 140

Oleg, Sasha, and Dima shared 600 toys. Sasha had twice as many toys as Oleg. Dima had 40 more toys than Oleg.

Let the number of toys Oleg has = x

Let the number of toys Sasha has = y

Let the number of toys Dima has = z

Sasha had twice as many toys as Oleg

So y = 2*x= 2x

Dima had 40 more toys than Oleg.

z = x + 40

Oleg, Sasha, and Dima shared 600 toys

x + y + z= 600

We know y=2x and z=x+40

Replace it for y and z

Subtract 40 on both sides

Divide by 4 on both sides

Oleg had 140 toys

Step-by-step explanation:

6 0

2 years ago

Makayla plotted two points, (0, 0) and (3, 33), on a coordinate grid. Noah says that she is graphing a proportional relationship

ivann1987 [24]

Answer:

Noah is correct.

Step-by-step explanation:

Noah is correct, a proportional relationship can be formed by observing two conditions:

1) Knowing at least two distinct collinear points on coordinate grid.

2) Ratio between dependent and independent variables must be the same on each point.

3) Relationship must include origin.

Makayla used two points: (0, 0) and (3, 33). Therefore, she observed all conditions described above:

Condition 1: Makayla plotted (0,0) and (3,33). According to Geometry, two distinct point on coordinate grid are always collinear.

Condition 2: The proportionality ratio is:

$k = \frac{33}{3}$

$k = 11$

Condition 3: The relationship included origin: (0, 0).

3 0

2 years ago

Alexis invests $475 in a bank account that earns 1.25% interest compounded annually. Which function models the growth of her inv

olchik [2.2K]

Answer: The function that modes this situation would be: y = 475(1 + .0125)^x.

This is an example of an exponential equation. These equations are always in the form y = ab^x.

The a value is the starting value. The b value is the interest rate. The x value is the number of years.

The only thing to be careful about is the rate. We are adding 1.25% or 0.125. Make sure that you are adding 1 whole to the 1.25% and don't just use 0.125.

8 0

2 years ago

This year June 1 is a Friday, and June has 30 days. If there will be exactly one hail storm in June, but we have no idea on whic

Ratling [72]

Answer:

The probability that the hail storm will happen on a Saturday is 0.1667.

Step-by-step explanation:

The month of June started on Friday.

Then June 2 is a Saturday.

Remaining 28 days.

Each week has 7 days.

There will be 4 full weeks for the month of June.

So there will be 4 more Saturdays.

Thus, there are a total of 5 Saturdays in the month of June.

Compute the probability that the hail storm will happen on a Saturday as follows:

$P(hail-storm)=\frac{n(Saturdays)}{Total\ no.\ of\ days} =\frac{5}{30}= 0.1667$

Thus, the probability that the hail storm will happen on a Saturday is 0.1667.

8 0

2 years ago

Lisa specializes in baking lemon cupcakes. She bakes 3 dozen cupcakes every hour. The cost (in dollars) of making n cupcakes is

kirza4 [7]

Answer:

36h, 60+16.2h, and $92.40.

Step-by-step explanation:

n(h)=36h because there are 3 dozen cupcakes made per hour, to get C(h) you just plug in 36h in place of n and simplify, and then for the final answer 2 is plugged into the equation from the second answer.

8 0

2 years ago