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melomori [17]
1 year ago
7

A student bought two juice pouches for $1.25 each and 3 bags of chips. The total cost was $5.05. Write and solve an equation to

determine the cost of a single bag of chips, c.
Remember money is rounded to the nearest hundtedth.
Mathematics
2 answers:
bija089 [108]1 year ago
8 0

Answer:

$0.85

Step-by-step explanation:

2 juice pouches- $2.50

3c+2.50=5.05 (c is for bags of chips)

3c=5.05-2.50

3c=2.55

c= $0.85

So one bag of chip is $0.85

Lera25 [3.4K]1 year ago
7 0
1.25+3x=5.05

3x=5.05-1.25

3x=3.8

divide 3.8 by 3 and you get 1.27 so x=1.27
and that’s how much a bag of chips cost
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alice drew two triangles on the coordinate plane as shown. Which series of transformation proves the two triangles are congruent
Nimfa-mama [501]

Answer:

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Step-by-step explanation:

alice drew two triangles on the coordinate plane as shown. Which series of transformation proves the two triangles are congruent?

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2 years ago
Show a way to count from 170 to 410 using tens and hundreds. circle at least 1 benchmark number
Anastasy [175]
Benchmark are numbers that are used as standards to which the rest of the data is compared to. When counting numbers using a number line, the benchmark numbers are the intervals written on the axis. For benchmark numbers of 10, the number line on top of the attached picture is shown. Starting from 170, the tick marks are added by 10, such that the next numbers are 180, 190, 200, and so on and so forth. When you want to find 410, just find the benchmark number 410.

The same applies to benchmark numbers in intervals of 100. If you want to find 170, used the benchmark numbers 100 and 200. Then, you estimate at which point represents 170. For 410, you base on the benchmark numbers 400 and 500.

6 0
2 years ago
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A pond forms as water collects in a conical depression of radius a and depth h. Suppose that water flows in at a constant rate k
Scrat [10]

Answer:

a. dV/dt = K - ∝π(3a/πh)^⅔V^⅔

b. V = (hk^3/2)/[(∝^3/2.π^½.(3a))]

The small deviations from the equilibrium gives approximately the same solution, so the equilibrium is stable.

c. πa² ≥ k/∝

Step-by-step explanation:

a.

The rate of volume of water in the pond is calculated by

The rate of water entering - The rate of water leaving the pond.

Given

k = Rate of Water flows in

The surface of the pond and that's where evaporation occurs.

The area of a circle is πr² with ∝ as the coefficient of evaporation.

Rate of volume of water in pond with time = k - ∝πr²

dV/dt = k - ∝πr² ----- equation 1

The volume of the conical pond is calculated by πr²L/3

Where L = height of the cone

L = hr/a where h is the height of water in the pond

So, V = πr²(hr/a)/3

V = πr³h/3a ------ Make r the subject of formula

3aV = πr³h

r³ = 3aV/πh

r = ∛(3aV/πh)

Substitute ∛(3aV/πh) for r in equation 1

dV/dt = k - ∝π(∛(3aV/πh))²

dV/dt = k - ∝π((3aV/πh)^⅓)²

dV/dt = K - ∝π(3aV/πh)^⅔

dV/dt = K - ∝π(3a/πh)^⅔V^⅔

b. Equilibrium depth of water

The equilibrium depth of water is when the differential equation is 0

i.e. dV/dt = K - ∝π(3a/πh)^⅔V^⅔ = 0

k - ∝π(3a/πh)^⅔V^⅔ = 0

∝π(3a/πh)^⅔V^⅔ = k ------ make V the subject of formula

V^⅔ = k/∝π(3a/πh)^⅔ -------- find the 3/2th root of both sides

V^(⅔ * 3/2) = k^3/2 / [∝π(3a/πh)^⅔]^3/2

V = (k^3/2)/[(∝π.π^-⅔(3a/h)^⅔)]^3/2

V = (k^3/2)/[(∝π^⅓(3a/h)^⅔)]^3/2

V = (k^3/2)/[(∝^3/2.π^½.(3a/h))]

V = (hk^3/2)/[(∝^3/2.π^½.(3a))]

The small deviations from the equilibrium gives approximately the same solution, so the equilibrium is stable.

c. Condition that must be satisfied

If we continue adding water to the pond after the rate of water flow becomes 0, the pond will overflow.

i.e. dV/dt = k - ∝πr² but r = a and the rate is now ≤ 0.

So, we have

k - ∝πa² ≤ 0 ---- subtract k from both w

- ∝πa² ≤ -k divide both sides by - ∝

πa² ≥ k/∝

5 0
2 years ago
The Metro theater has 20 rows of seats with 18 seats in each row Tickets cost $5 The theaters income in dollars if all seats are
Olin [163]
Answer: $1800

The theater income will be the total of audience multiplied by the ticket cost.  To answer this question, you need to determine the total audience count. Assuming all the seats are occupied then:
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After that the income would be:
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3 0
2 years ago
Giuliana has 22 quarters and dollar coins worth a total of $10.75. Which equation can be used to find d, the number of dollar co
vovangra [49]

Answer:

Option (3). 0.25(22 - d) + d = 10.75

Step-by-step explanation:

Total number of coins Giuliana has = 22

Let the number dollar coins Giuliana has = d

Number of quarters with Giuliana = (22 - d)

Value of dollar coins and quarters = $10.75

So the equation will be,

Number of dollars coins × $1 + Number of quarters × $0.25 = $10.75

d + 0.25 × (22 - d)  = 10.75

Therefore, to determine the number of dollars with Giuliana equation will be used,

d + 0.25(22 - d) = 10.75

Option (3) will be the answer.

4 0
2 years ago
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