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Andrej [43]
2 years ago
5

A toy car costing $50 is reduced by 10% in the sale. How much does it cost now? Show me your work plz

Mathematics
2 answers:
densk [106]2 years ago
7 0

Answer:

Now it costs $45.

Step-by-step explanation:

I'll show you two different ways of doing it.

<em>Method A.</em><em> Find the dollar mount of the discount and subtract it from the original price.</em>

The percent discount is 10%.

First, we find 10% of $50.

10% of $50 = 10% * $50 = 0.1 * $50 = $5

The dollar amount of discount is $5.

Now we subtract the dollar amount of the discount from the original price.

$50 - $5 = $45

Answer: Now it costs $45.

<em>Method B.</em><em> Find the percent of the discounted price and use it to find the discounted price. </em>

The original price, $50, is 100% of the original price since 100% is the entire thing. The discount is 10%, so we subtract 10% from 100%.

100% - 10% = 90%

After you take off 10% from the original price, the discount price is only 90% of the original price. Now we find 90% of $50.

90% of $50 = = 90% * $50 = 0.9 * $50 = $45

Answer: Now it costs $45.

wlad13 [49]2 years ago
5 0

Answer:

$45

Step-by-step explanation:

divide 50 by 100 (as in 100%) then multiply it by 90 (as in 90%)

50 ÷ 100 × 90 = 45

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What is the product (6r-1)(-8r-3)
eimsori [14]
Use the FOIL method (First, Outside, Inside, Last)

6r(-8r) = -48r²
6r(-3) = -18r
-1(-8r) = 8r          (note: two negatives multiplied together = positive answer)
-1(-3) = 3

-48r² - 18r + 8r + 3

Combine like terms:


-48r² - 18r + 8r + 3

-48r² - 10r + 3


-48r² - 10r + 3 is your answer

hope this helps
6 0
2 years ago
Dalvin's family took a road trip to Mount Rushmore. Dalvin fell asleep 44% of the way through the trip. If Dalvin fell asleep af
Tpy6a [65]

Answer:

The total length of the trip was 400 miles.

Step-by-step explanation:

He fell asleep at 44% through the trip, they already had traveled 176 miles.

.44x = 176 ⇒

176 ÷ .44 ⇒

x = 400

8 0
2 years ago
Read 2 more answers
Suppose that public opinion in a large city is 55% in favor of increasing taxes to support renewable energy and 45% against such
Harman [31]

Answer:

The approximate probability that more than 360 of these people will be against increasing taxes is P(Z> <u>0.6-0.45)</u>

                                              √0.45*0.55/600

The right answer is B.

Step-by-step explanation:

According to the given data we have the following:

sample size, h=600

probability against increase tax p=0.45

The probability that in a sample of 600 people, more that 360 people will be against increasing taxes.

We find that P(P>360/600)=P(P>0.6)

The sample proposition of p is approximately normally distributed mith mean p=0.45

standard deviation σ=√P(1-P)/n=√0.45(1-0.45)/600

If x≅N(u,σ∧∧-2), then z=(x-u)/σ≅N(0,1)

Now, P(P>0.6)=P(<u>P-P</u>   >     <u>0.6-0.45)</u>

                             σ          √0.45*0.55/600

=P(Z> <u>0.6-0.45)</u>

       √0.45*0.55/600

8 0
2 years ago
At the beginning of the summer Matt swim 12 laps. At the end of the summer he could swim 15 laps. What is the percent increase i
aleksandr82 [10.1K]
Percent change = (new number - old number)/(old number) * 100
A positive percent change is a percent increase.
A negative percent change is a percent decrease.

In this problem, we have:
The new number is 15 laps.
The old number is 12 laps.


percent change = (15 - 12)/(12) * 100

percent change = 3/12 * 100

percent change = 25

Since the percent change is positive, +25, it is a percent increase.

Answer: The percent increase is 25%

8 0
2 years ago
EXAMPLE 5 If F(x, y, z) = 4y2i + (8xy + 4e4z)j + 16ye4zk, find a function f such that ∇f = F. SOLUTION If there is such a functi
Valentin [98]

If there is such a scalar function <em>f</em>, then

\dfrac{\partial f}{\partial x}=4y^2

\dfrac{\partial f}{\partial y}=8xy+4e^{4z}

\dfrac{\partial f}{\partial z}=16ye^{4z}

Integrate both sides of the first equation with respect to <em>x</em> :

f(x,y,z)=4xy^2+g(y,z)

Differentiate both sides with respect to <em>y</em> :

\dfrac{\partial f}{\partial y}=8xy+4e^{4z}=8xy+\dfrac{\partial g}{\partial y}

\implies\dfrac{\partial g}{\partial y}=4e^{4z}

Integrate both sides with respect to <em>y</em> :

g(y,z)=4ye^{4z}+h(z)

Plug this into the equation above with <em>f</em> , then differentiate both sides with respect to <em>z</em> :

f(x,y,z)=4xy^2+4ye^{4z}+h(z)

\dfrac{\partial f}{\partial z}=16ye^{4z}=16ye^{4z}+\dfrac{\mathrm dh}{\mathrm dz}

\implies\dfrac{\mathrm dh}{\mathrm dz}=0

Integrate both sides with respect to <em>z</em> :

h(z)=C

So we end up with

\boxed{f(x,y,z)=4xy^2+4ye^{4z}+C}

7 0
2 years ago
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