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Oksi-84 [34.3K]
1 year ago
11

The cost of an item is 100% of its price. What number goes in place of ? in the addition problem?

Mathematics
2 answers:
Dmitry_Shevchenko [17]1 year ago
8 0
I believe this is the complete problem. 

<span>Anton bought a picnic cooler. His total bill, with tax, was $7.95. He paid 6 percent sales tax. How much did he pay for the cooler alone without the tax? The cost of an item is 100% of its price. What number goes in place of ? in the addition problem?
</span>
The answer is the below:

<span>He paid $7.473 without tax because $7.95 x 96% or (0.96) =$7.473</span>
borishaifa [10]1 year ago
6 0

Answer:

The value of x is $7.5

Step-by-step explanation:

Given The cost of an item is 100% of its price.

Anton bought a picnic cooler. The total bill, with the tax, was $7.95. He paid 6% sales tax.

we have to tell how much he pay for cooler without tax.

We have to find the value of ? let it be x shown in expression.

By the given expression we can write

x+6% of x=$7.95

⇒ x(1+0.06)=$7.95

⇒ 1.06x=7.95 ⇒ x=7.5

Hence, the value of x is $7.5

He paid $7.5 without taxes.

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What additional information could you use to show that ΔSTU ≅ ΔVTU using SAS? Check all that apply.
GalinKa [24]

Options

A. UV = 14 ft and m∠TUV = 45°

B. TU = 26 ft

C. m∠STU = 37° and m∠VTU = 37°

D. ST = 20 ft, UV = 14 ft, and m∠UST = 98°

E. m∠UST = 98° and m ∠TUV = 45°

Answer:

A. UV = 14 ft and m∠TUV = 45°

D. ST = 20 ft, UV = 14 ft, and m∠UST = 98°

Step-by-step explanation:

Given

See attachment for triangle

Required

What proves that: ΔSTU ≅ ΔVTU using SAS

To prove their similarity, we must check the corresponding sides and angles of both triangles

First:

\angle UST must equal \angle UVT

So:

\angle UST = \angle UVT = 98

Next:

UV must equal US.

So:

UV = US = 14

Also:

ST must equal VT

So:

ST = VT = 20

Lastly

\angle TUV must equal \angle TUS

So:

\angle TUV = \angle TUS = 45

Hence: Options A and D are correct

4 0
2 years ago
Roger and rita each drive at a constant speed between phoenix and san diego. Each driver’s distance for the same section of the
never [62]

Answer:

a)Rita had a 28-mile head start

Step-by-step explanation:

The multiple options have been added in the additional information below the problem statement.

<u>Missing Information:</u>

Since the distance of each driver is not displayed. Let us assume their distances.

Say,

Roger travelled distance = 60 miles

Rita travelled distance = 32 miles

Now as it is given in the problem statement that Roger and Rita both drove at a constant speed between Phoenix and San Diego and they drove "Same Section of the trip" .

Which Means that the distance travelled of both is between Phoenix and San Diego, just their starting points are different but their end point is the same which is San Diego.

<em><u>As we can see RIta had to cover less miles which means she got the head start, now to calculate how much of a head start she got, we need:</u></em>

Head Start Rita got = Distance Roger travelled - Distance Rita Travelled

Head Start Rita got = 60 - 32 = 28 miles

So,

Rita got a Head start of 28 miles which is option (a)

5 0
2 years ago
Read 2 more answers
What does this mean
andriy [413]
To use arithmetic to solve ot
7 0
1 year ago
PLEASE HELP! For a concert 5,000 tickets were sold, and the proceeds were $72,000. Tickets for children 16 and younger were $10,
patriot [66]
A: the first answer is the best option

if there is a total of 5000 tickets, and we know there were adults, children, and seniors, then the equation:
c + a + s = 5000 is correct

if we are using c, a, and s as variables for how many children, adults, and seniors were in attendance, then by matching the corresponding price, we should have the equation:
$72000= 10c + 20a + 15s

lastly, if we know the amnt of children in attendance was 3x more than the amnt of seniors, the equation:
3s = c is best because by multiplying the number of seniors in attendance by 3, you will get 3x more children than seniors

hope this helps, and is correct :)!
5 0
2 years ago
In a study in Scotland (as reported by Devlin 2009), researchers left a total of 320 wallets around Edinburgh, as though the wal
Ann [662]

Answer:

a) The observed proportion of wallets that were returned

  p = 0.45625

b) <em> 95% of confidence intervals for Population proportion</em>

<em>  0.40168  , 0.51082)</em>

<em>c) The lower bound of the 95% confidence interval = 0.40168</em>

<em>d) The upper bound of the 95% confidence interval = 0.51082</em>

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

a)

Given data the  researchers left a total of 320 wallets around Edinburgh, as though the wallets were lost. Each contained contact information including an address. Of the wallets, 146 were returned by the people who found them

Given sample size 'n' = 320

  Given data          'x ' = 146

<em>Sample proportion </em>

              p = \frac{x}{n}

             p = \frac{x}{n} = \frac{146}{320} = 0.45625

<u><em>Step(ii)</em></u>:-

b)<em> </em><u><em>95% of confidence intervals for Population proportion</em></u>

Level of significance = 95% or 0.05%

Z_{\frac{\alpha }{2} } = Z_{\frac{0.05}{2} } = Z_{0.025} = 1.96

<em>95% of confidence intervals for Population proportion are determined by</em>

<em></em>(p - Z_{0.025} \frac{\sqrt{p(1-p)} }{\sqrt{n} } , p + Z_{0.025} \frac{\sqrt{p(1-p)} }{\sqrt{n} })<em></em>

<em></em>(0.45625 - 1.96\frac{\sqrt{0.45625(1-0.45625)} }{\sqrt{320} } , 0.45625 + 1.96\frac{\sqrt{0.45625(1-0.45625)} }{\sqrt{320} })<em></em>

<em>(0.45625 - 0.05457 , 0.45625 + 0.05457)</em>

<em>(   0.40168  , 0.51082) </em>

<em>c) The lower bound of the 95% confidence interval = 0.40168</em>

<em>d) The upper bound of the 95% confidence interval = 0.51082</em>

7 0
2 years ago
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