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bonufazy [111]
2 years ago
14

John wants to buy strawberries and apples to make a fruit tart. Strawberries cost $3 per pound and apples cost $2.25 per pound.

How much does he spend if he buys 0.5 pounds of strawberries and 3 pounds of apples? How much does he spend if he buys xx pounds of strawberries and yy pounds of apples?
Mathematics
1 answer:
Anettt [7]2 years ago
8 0

Answer:

he spends $1.5 on strawberries and $6.75 on apples

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kakasveta [241]

Answer:

Step-by-step explanation:

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2 years ago
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It appears that people who are mildly obese are less active than leaner people. One study looked at the average number of minute
fredd [130]

Answer:

0.0322; 0.9929

Step-by-step explanation:

Since the data is normally distributed, we use z scores for these probabilities.

The formula for a z score of a sample mean is

z=\frac{\bar{X}-\mu}{\sigma \div \sqrt{n}}

For the sample of mildly obese people, the mean, μ, is 371; the standard deviation, σ, is 65; and the sample size, n, is 6.

Using 420 for X,

z = (420-371)/(65÷√6) = 49/(65÷2.4495) = 49/26.5360 ≈ 1.85

Using a z table, we see that the area under the curve to the left of this is 0.9678.  However, we want the area to the right, so we subtract from 1:

1-0.9678 = 0.0322

For the sample of lean people, the mean, μ, is 528; the standard deviation, σ, is 108; the sample size, n, is 6.

Using 420 for X, we have

z = (420-528)/(108÷√6) = -108/(108÷2.4495) = -108/44.0906 ≈ -2.45

Using a z table, we see that the area under the curve to the left of this is 0.0071.  We want the area under the curve to the right, so we subtract from 1:

1-0.0071 = 0.9929

7 0
2 years ago
Please help! Will give brainliest!
const2013 [10]
<h3>1.</h3>

The equation in point-slope form:  y - y₁ = m(x - x₁)

slope:  m = -2

point:   (4, -5)   ⇒   x₁ = 4, y₁ = -5

Therefore, the equation of the line in point-slope form:

<h3>y + 5 = -2(x - 4)</h3>

<h3>2.</h3>

The equation in slope-intercept form:   y = mx + b

Parallel lines has the same slope, so:

y = 4x + 2     ⇒    a = 4

If a line passes through the point <em>(x₁, y₁) </em>then the equation y<em>₁</em> = mx<em>₁</em> + b is true.

(4, 6)  ⇒   x₁ = 4, y₁ = 6  

So:   6 = 4·4 + b  ⇒   b = -10

Therefore the equation:  

<h3>y = 4x - 10</h3>

<h3>3.</h3>

a = 3

(-1, 1)  ⇒   x₁ = -1, y₁ = 1  

So:   1 = 3·(-1) + b  ⇒   b = 4

The equation:  

<h3>y = 3x + 4</h3>

<h3>4. </h3>

The product of slopes of perpendicular lines is -1.

2x - 7y = 1    ⇒  7y = -2x + 1   ⇒  y = -²/₇x + ¹/₇

-²/₇×m = -1    ⇒   m = ⁷/₂

(0, -4)  ⇒   x₁ = 0, y₁ = -4  

-4 = ⁷/₂·0 + b   ⇒   b = -4

The equation:

<h3>y = ⁷/₂x - 4</h3>
8 0
2 years ago
Solve for x PLEASE HELP
Vinvika [58]

Answer:

x=2.202545727

Step-by-step explanation:

Use the Law of Sines:

a=b(sinα /sinβ)

3x+12=(x+25)(sin40 /sin70)

3x+12=(x+25)(0.6840402867)

3x+12=0.6840402867x+17.10100717

2.315959713x+12=17.10100717

2.315959713x=5.10100717

x=2.202545727

So x=2.202545727

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2 years ago
At a pep rally 14 out of 20 students who entered the gym were carrying a backpack. Based on this information, if 1,400 students
kondaur [170]

Answer:

980 students

Step-by-step explanation:

14/20=x/1400

cross multiplication and then u get the equatiton 20x=19600

solve and get 980

4 0
3 years ago
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