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creativ13 [48]
2 years ago
4

Justin bought a calculator and binder that were both 15% off the original price. The original price of the binder was $6.20. Jus

tin spent a total of $107.27. What was the original price of the calculator?
Mathematics
1 answer:
Fiesta28 [93]2 years ago
6 0

Answer:

$120

Step-by-step explanation:

Given that

The original price of the binder is $6.20

Total spent value = $107.27 after considering the 15% off

That means this is a 85% value but we have to find out 100% value so that the original price of calculator could come i.e

= $107.27\times\frac{100}{85}

= $126.20

And, the original price of the binder is = $6.20

So, the original price of the calculator is

= Total original price - original price of the binder

= $126.20 - $6.20

= $120

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1. Write 3,876,943,000 using scientific notation.
Sunny_sXe [5.5K]

Answer:

3.876943x10^9

7.317x10^-4

Step-by-step explanation:

3,876,943,000

Put the decimal at the end

3,876,943,000.

Move it so only 1 number is before the decimal

3.876943000

We moved it 9 places, so that is the exponent

We moved it to the left, so the exponent is positive

The three zeros at the end can be dropped because they are the last numbers to the right of the decimal

3.876943x10^9

0.0007317

Move it so only 1 number is before the decimal

00007.317

We moved it 4 places, so that is the exponent

We moved it to the right, so the exponent is negative

The four zeros at the left can be dropped because they are the last numbers to the left of the whole number

7.317x10^-4

8 0
2 years ago
Un guardia forestal divisa, desde un punto de observación A, un incendio en la dirección N27° 10’ E. Otro guardia, que se encuen
Inga [223]

Answer:

la distancia del punto de observación A al incendio = 5.5 millas

la distancia del punto de observación B al incendio = 3.8 millas

Step-by-step explanation:

La expresión esquemática de la pregunta se puede ver en la imagen adjunta a continuación :

Del siguiente diagrama;

Usando la sine regla:

\dfrac{sin \  F}{f} = \dfrac{sin  \ A }{a}

\dfrac{sIn \  79}{6} = \dfrac{sin \   63}{a}

a sin 79 = 6 sin 63

a =\dfrac{6 \times sin \ 63}{sin \ 79}

a =\dfrac{6 \times 0.8910}{0.9816}

a = 5.446 millas

la distancia del punto de observación A al incendio = 5.5 millas (a la décima más cercana)

\dfrac{sin \  F}{f} = \dfrac{sin  \ B}{b}

\dfrac{sin \  79}{6} = \dfrac{sin  \ 38}{b}

b sin 79 = 6 sin 38

b  = \dfrac{6 \times sin  \ 38}{sin \  79}

b  = \dfrac{6 \times0.6157 }{0.9816}

b = 3.7635 millas

la distancia del punto de observación B al incendio = 3.8 millas (a la décima más cercana)

8 0
2 years ago
Matt wants to buy a television. If he pays cash, he gets a discount of 7%. If he pays with a loan he has to pay an extra 10% in
Vitek1552 [10]

Answer:

Cost of Television = $294

Step-by-step explanation:

7% discount means 7/100 = 0.07 LESS

So we need to multiply by 1 - 0.07 = 0.93

Also, 10% MORE, or extra, means 10/100 = 0.10 MORE

So we need to multiply by 1 + 0.10 = 1.1

Let cost of television be "c", so we can say:

  • 7% discount would mean cost to be  c(0.93) = 0.93c
  • 10% with interest would mean cost to be c(1.10) = 1.10c

The difference is 49.98. So we subtract lower value (0.93c) from larger value (1.10c) and equate to 49.98 and solve for c:

1.10c-0.93c=49.98\\0.17c=49.98\\c=\frac{49.98}{0.17}\\c=294

Cost of Television = $294

6 0
2 years ago
A County Superintendent of Highways is interested in the numbers of different types of vehicles that regularly travel within his
Karolina [17]

Answer:

a) The ratio of passenger cars to pickup trucks is \frac{5}{7}

The ratio of pickup trucks to passenger cars is \frac{7}{5}

The ratio of passenger cars to total vehicles is \frac{5}{12}

The ratio of pickup trucks to total vehicles is \frac{7}{12}

b) The tape diagram is shown in the attached picture.

c) The tape diagram has 12 equal-sized parts.

d) The total quantity that the tape diagram represent is 192.

e) The value of each individual part of the tape is 16.

f) There were registered 80 passenger cars and 112 pickup trucks.

Step-by-step explanation:

a) According to the information in the problem, that for every 5 passenger cars registered, there were 7 pickup trucks registered.

So the ratios are:

Passenger cars to pickup trucks: \frac{5}{7}

Pickup trucks to passenger cars: \frac{7}{5}

If we calculate the total vehicles: 5+7=12

So, we can get two ratios more:

Passenger cars to total vehicles is \frac{5}{12}

Pickup trucks to total vehicles is \frac{7}{12}

b) We make a tape diagram where each box represents a vehicle so we draw 5 boxes for cars and 7 boxes for pickup trucks.

c) If we count the total quantity of boxes, there are 12.

d) This diagram represents the total quantity of registrations in August which is 192.

e) To get the representation of each part of the tape diagram we have to divide 192 by 12. 192÷12=16

f) Finally, we multiply 16 by the number of boxes of each type of vehicle:

Cars: 16×5=80

Pickup trucks: 16×7=112

6 0
2 years ago
Triangle X Y Z is shown. Angle X Y Z is 51 degrees and angle Y Z X is 76 degrees. The length of X Z is 2.6, the length of X Y is
stepan [7]

Answer:

z=3.2\ units

Step-by-step explanation:

we know that

In the triangle XYZ

Applying the law of sines

\frac{2.6}{sin(51^o)}=\frac{z}{sin(76^o)}

solve for z

z=\frac{2.6}{sin(51^o)}sin(76^o)

z=3.2\ units

5 0
2 years ago
Read 2 more answers
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