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2 years ago

Harry buys 3 granola bars for $5. Sidnee buys 9 granola bars for $15. What is the constant of proportionality?

Mathematics

1 answer:

sergiy2304 [10]2 years ago

4 0

Answer: The constant proportionality is 1.66666666667.

All you had to do is divide them.

If you find this helpful ad me as brainlist please and thank u.

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In one baseball season Peter hit twice the difference of the number of home runs Alice hit and 6. altogether,they hit 18 home ru

Viktor [21]

In a baseball season:
Peter hit = 2 (x - 6)
Total = 19 hits

X= Alex’s hit
Y = Peter’s Hit

=> Y = 2(x - 6)
=> x + y = 18
Let’s start from the second given equation:
=> x + y =18
=> y = 18 – x
Now, let’s use the first given equation to solve:
=> 18 – x = 2 (x - 6)
=> 18 – x = 2x – 12
=> -3x = -30
x = 10

Now, Let’s try:
=> Y = 2(x - 6)
=> y = 2 (10 - 6)
=> y = 2 (4)
=> y = 8

Thus, Peter hit 8 and Alice hit 10.

4 0

2 years ago

T.J. invests $8,100 in an account

Illusion [34]

Answer:

$13,177.97

Step-by-step explanation:

Compound Interest Formula

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

A = final amount

P = initial investment

r = interest rate

n = number of times the rate is applied during a time period

t = number of times the time period has elapsed

$A=8100(1+\frac{.072}{1} )^{(1)(7)} \\A=8100(1.072)^{7}\\ A=8100*(1.626909883)\\A=13177.97006$

6 0

2 years ago

A lake contains 4 distinct types of fish. Suppose that each fish caught is equally likely to be any one of these types. Let Y de

strojnjashka [21]

Answer:

a) P(μ-k*σ≤ Y ≤ μ+k*σ ) ≥ 0.90

a= μ-3.16*σ , b= μ+3.16*σ

b) P(Y≥ μ+3*σ ) ≥ 0.90

b= μ+3*σ

Step-by-step explanation:

from Chebyshev's inequality for Y

P(| Y - μ|≤ k*σ ) ≥ 1-1/k²

where

Y = the number of fish that need be caught to obtain at least one of each type

μ = expected value of Y

σ = standard deviation of Y

P(| Y - μ|≤ k*σ ) = probability that Y is within k standard deviations from the mean

k= parameter

thus for

P(| Y - μ|≤ k*σ ) ≥ 1-1/k²

P{a≤Y≤b} ≥ 0.90 → 1-1/k² = 0.90 → k = 3.16

then

P(μ-k*σ≤ Y ≤ μ+k*σ ) ≥ 0.90

using one-sided Chebyshev inequality (Cantelli's inequality)

P(Y- μ≥ λ) ≥ 1- σ²/(σ²+λ²)

P{Y≥b} ≥ 0.90 → 1- σ²/(σ²+λ²)= 1- 1/(1+(λ/σ)²)=0.90 → 3= λ/σ → λ= 3*σ

then for

P(Y≥ μ+3*σ ) ≥ 0.90

5 0

2 years ago

Suppose Primo Pizza's profit on a given day is always the same as the profit of Pizza Supreme's profit 3 days later. Write a fun

Andru [333]

Complete Question

Each summer Primo Pizza and Pizza Supreme compete to see who has the larger summer profit.

Let p(x) represent Primo Pizza's profit (in dollars) x days after June 1. Let s(x) represent Pizza Supreme's profit (in dollars) x days after June 1.

Suppose Primo Pizza's profit each day is 1.9 times as large as the profit of Pizza Supreme.

Write a function formula for p using the function s

Answer:

The function formula for p using the function s is p(x) = 1.9s(x)

Step-by-step explanation:

Given

p(x) = Primo Pizza's profit (in dollars) x days after June 1.

s(x) = Pizza Supreme's profit (in dollars) x days after June 1.

It is given that Primo Pizza's profit each day is 1.9 times as large as the profit of Pizza Supreme.

This implies that

p(x) = 1.9*s(x)

So, p(x) = 1.9s(x)

Hence, the function formula for p using the function s is p(x) = 1.9s(x)

6 0

2 years ago

Benjamin is riding a unicycle. The tire of his unicycle has a circumference of 2.8 \text{ m}2.8 m2, point, 8, start text, space,

Karo-lina-s [1.5K]

Answer:

420 meters

Step-by-step explanation:

Q. Benjamin is riding a unicycle. The tire of his unicycle has a circumference of 2.8 m, and the tire revolves 1.5 times per second. What is the distance Benjamin travels in 100 seconds?

Given:

Circumference of circular tire = 2.8 meters

Tire revolves per second = 1.5 times

Question asked:

What is the distance Benjamin travels in 100 seconds?

Solution:

Circumference of circular tire means distance covered by the unicycle's tire when it revolves 1 time that is 2.8 meters.

Now, by unitary method:

In 1 second, tire revolves = 1.5 times

In 100 seconds, tire revolves = 1.5 $\times$ 100

= 150 times

Distance covered by the tire when it revolves 1 time = 2.8 m

Distance covered by the tire when it revolves 150 times = 2.8 $\times$ 150

= 420 meters

Therefore, Benjamin travels 420 meters in 100 seconds.

8 0

2 years ago

Read 2 more answers