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nignag [31]
2 years ago
13

Ariel bought nuts at the grocery store to make trail mix for her nature club. She spent a total of $23.50 on almonds and cashews

. She bought 1.5 pounds of almonds at $6.50 per pound. If cashews cost $5.50 per pound, how many pounds of cashews did she buy?
Mathematics
2 answers:
Gnom [1K]2 years ago
8 0

Answer:

2.5 pounds of cashews.

Step-by-step explanation:

Let's say we have a for pounds of almonds and c for pounds of cashews.

6.5a + 5.5c = 23.5

6.5 * 1.5 + 5.5c = 23.5

9.75 + 5.5c = 23.5

5.5c = 13.75

c = 2.5

So, Ariel bought 2.5 pounds of cashews.

Hope this helps!

julsineya [31]2 years ago
8 0

Answer:

2.5 pounds of cashews

Step-by-step explanation:

First, we have to find out how much money she spent on almonds. To do this we must multiply how many pounds she got by the price per pound. This means we multiply $6.5 by 1.5, which equals $9.75. Now we have to subtract this from the total amount she spent to find how much she spent on cashews. Since $23.50-$9.75=$13.75, she spent $13.75 on cashews. Now all we have to do is divide this by how much it cost per pound to find out how many pounds she bought. Since 13.75/5.5=2.5, she bought 2.5 pounds of cashews.

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All members of our painting team paint at the same rate. If $20$ members can paint a $6000$ square foot wall in $24$ minutes, th
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Let x represent time taken by 20 members to paint 9000 square foot wall.

We have been given that all members of our painting team paint at the same rate. 20 members can paint a 6000 square foot wall in 24 minutes. We are asked to find the time taken by 20 members to paint 9000 square foot wall.

We will use proportions to solve our given problem.

\frac{\text{Time taken}}{\text{Area of wall painted}}=\frac{24\text{ min}}{6000\text{ ft}^2}

\frac{x}{9000\text{ ft}^2}=\frac{24\text{ min}}{6000\text{ ft}^2}

\frac{x}{9000\text{ ft}^2}\times 9000\text{ ft}^2=\frac{24\text{ min}}{6000\text{ ft}^2}\times 9000\text{ ft}^2

x=\frac{24\text{ min}}{6}\times 9

x=4\text{ min}\times 9

x=36\text{ min}

Therefore, it will take 36 minutes for 20 members to paint 9000 square foot wall.

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2 years ago
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A car tire with a radius of 16inches is turning at a rate of 120 revolutions per minute. Find the exact linear speed of the tire
anygoal [31]

Answer:

The speed of the tyre of the car is 1002.24 feet per minute .

Step-by-step explanation:

Given as :

The radius of the car wheel = r = 16 inches

Since 12 inches = 1 feet

So,  16 inches = \frac{1}{12}×16 = 1.33 feet

The number of revolution of the wheel = 120 revolution per minute

Let The speed of the wheel = s feet per minute

The circumference of wheel = 2 × \pi × radius

where  \pi  = 3.14

or, circumference =  2 × 3.14 × 1.33

Or, Circumference = 8.352 feet

Now , Speed =  circumference of wheel × number of revolution

or, Speed = 8.352 feet × 120 revolution per minute

∴ Speed = 1002.24 feet per minute

Hence The speed of the tyre of the car is 1002.24 feet per minute . Answer

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2 years ago
Mario, Yoshi, and Toadette play a game of "nonconformity": They each choose rock, paper, or scissors. If two of the three people
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Step-by-step explanation: Hi!

well, the only case where someone wins is if two of them chose the same thing, and the other chose one of the two remaining possibilities.

an useful way of starting this is calculated al the possible combinations of rock, paper and scissors.

we have 3 persons and 3 options, ence the total number of permutations is 3*3*3 = 27

So, the cases where none wins are:

1) the 3 chose the same thing:  there are 3 combinations here, one for each option

2) the 3 chose a different thing: here you think, the first one has 3 possibilities, then the second one must choose a different option, so has 2, and the third one only has 1 remaining option.  so you have 6 combinations.

so there are 6 + 3 = 9 combinations where no one wins, if we want to se the probability, we compute 9/27 = 1/3 = 0.33%.

But the problem ask for it to happen 4 times in a row, so you will have 0.33*0.33*0.33*0.33 = 1/81 chances that this happens

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2 years ago
A researcher in environmental science is conducting a study to investigate the impact of a particular herbicide on fish. He has
Vedmedyk [2.9K]

Answer:

The herbicide has no impact on fish

Step-by-step explanation:

Experimental research includes to divide the concerned group 'fishes' here into 'treatment' & 'control' group, to study impact of a treatment. Hypothesis test the statistical significance of  propositions. Null hypothesis signifies no impact, alternate hypothesis signifies impact.

Let averages enzyme level of treatment & control be Xt & Xc

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If hypothesis test suggests that there is no significant difference between treatment & control group enzyme level, so we reject H0 & accept H1. It implies that the herbicide has no significant impact on fishes enzymes.

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2 years ago
find the scale, k, of H(3,4) if H'(9,12) after going through the transformation (x,y) ---> (kx,ky) centered at the origin
stiks02 [169]

The value of scale k is 3

Step-by-step explanation:

In order to find the scale , we can either divide the coordinates of H' by the original point or compare both the points to find the original ordered pair.

Given

H(3,4)

H'(9,12)

The coordinates of H are multiplied with some integer k to form H'

So,

<u>For x-coordinate:</u>

3k = 9

k = 9/3 = 3

<u>For y-coordinate:</u>

4k = 12

k = 12/4 = 3

Hence,

The value of scale k is 3

Keywords: Coordinate geometry, scaling

Learn more about scaling at:

  • brainly.com/question/4771355
  • brainly.com/question/4786449

#LearnwithBrainly

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2 years ago
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