Last week Carlos spent 3 1/2 hours practicing piano. This was 1/3 the amount of time he spent reading. How long did Carlos spend reading last week?

Answers

Answer 1

Answer:

3 1/2 = 210 minutes

1/3 * 210 = 70 minutes = 1 hour and 10 minutes

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Answer 2

On solving the linear equation 3.5 = x/3 , we get that the time Carlos spent on reading last week was x= 10.5 hours

What is an linear equation in one variable?

Linear equation is an equation containing one unknown variable with power one and constants.

The standard form of an linear equation in one variable x is :

ax + b = 0 , where a, b are constants

x= -b/ a is solution if this equation or we can solve this equation by adding or subtracting , multiplying or dividing by same number to both sides.

Let Carlos spent x hours reading last week

Given that last week the time that Carlos spent practicing piano for 3 1/2 hours = 7/2 hours = 3.5 hours

Time spent on practicing piano = 1/3 ( time spent on reading)

3.5 = (1/3) x

Multiply both sides by 3

⇒ 3.5 ×3 =3×(1/3)x

⇒10.5 = x

Therefore, the time spent by Carlos on reading last week is 10.5 hours.

Also, learn more about linear equation from the link below:

https://brainly.com/question/24145091

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Related Questions

Jen is single and owns a condo. Her condo costs $120,000 and she has a $100,000 mortgage at 5%. She pays $3,600 in property tax and contributes $500 to ber church per year. Does she use Iternized Deduction or Standard Deduction?​

Answers

Answer:

`298,483

Step-by-step explanation:

What equation shows how to use equivalent fractions to evaluate 2/5 + 3/4

Answers

Answer:

Step-by-step explanation:

Exact form: 23/20

Decimal form: 1.15

NEED HELP ASAP I WILL RATE 5 STARS

Answers

Answer:

B

Step-by-step explanation:

If you plug in 5 1/3 to the equation, the result is 6, meaning that the point lies on the line.

Please hurry please

Answers

Answer:yes

Step-by-step explanation:

44/4=11

11 is less than 27

What if it like this

Answers

Answer:

The answer is 4:1

Step-by-step explanation:

16:3 goes to 4:1

6.) The average delivery charge for a refrigerator is $54. The standard deviation is 53. Find the
range in which at least 75% of the data values will fall.
1

Answers

Answer:

88.9%

Step-by-step explanation:

$-6.97-$114.96

Using the invNorm function on the calculator, the range of 75% of the data values is $-6.97 to $114.96. In stats, not everything makes sense.

To use the invNorm function, go to 2nd vars, invNorm. Put .75 in the area, 54 in the mean, and 53 in the standard deviation.

How many gallons of a 70% antifreeze solution must be mixed with 100 gallons of 30% antifreeze to get a mixture that is 60% antifreeze?

Answers

Answer:

350 gallons

Step-by-step explanation:

Let x = number of gallons of 70% solution

   100 = number of gallons of 25% solution

Then, x + 100 = number of gallons of 60% solution

0.70x + 0.25(100) = 0.60(x + 100)

0.70x + 25 = 0.60x + 60

0.10x = 35

      x = 350 gal

Mix 350 gal of 70% solution with 100 gal of 25% solution to obtain 450 gal of 60% solution.

Answer: Add 315 gallons of 70% antifreeze to 90 gallons of 25% antifreeze to make a 60% mixture.

I need this at 8 hurry guys I’ll give brainlyest

Answers

Answer:

1 [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Jaden and his family are using a map to drive down to Napa Valley. On the map, the distance is given by the equation c = 1.3m, where c is the number of centimeters on the map and m is the corresponding real-world distance in miles. If they cover a distance of 18 miles, that would mean a distance of centimeters on the map.

Answers

Answer:13.84

Step-by-step explanation:

Answer:

13.84

Step-by-step explanation:

helppppp please I will give brainliest​

Answers

Answer:

y=3/4x

Step-by-step explanation:

A baker Likes to make cookies. The graph shows a proportional relationship between cups of flour used in numbers of cookies made. What does the point (0,0) represent and what does the point (1,26)represent

Answers

Answer:

i cant see the graph if there was a graph with it it would really help lol

Step-by-step explanation:

Answer:

Don't Be mean Online. Be a buddy, Not a Bully

Step-by-step explanation:

complete the point-slope equation of the line through (1,0) and (6,-3)

Answers

Answer: y- (-3)= -3/5 (x-6)

Step-by-step explanation:

Is 13 a solution to the compound inequality d>5 and x<10

Answers

Answer:

Step-by-step explanation:

13>5 is correct but 13 < 10 is not correct

so 13 is not a solution

PLS HELP
4. What does the y-intercept of the graph of Monday's storm mean? Does the y-intercept of the graph of Thursday's storm have the same meaning?

Answers

Answer/Step-by-step explanation:

✅The y-intercept of the graph of Monday's storm means 0 mm of precipitation was recorded when the tracking started at 0 minutes. The y-intercept is 0 mm.

✅Thursday's Storm has the same y-intercept as the graph of Monday's Storm, which is also 0 mm precipitation at the beginning of the tracking. It has the same meaning as that of the y-intercept of the graph of Monday's Storm.

find the measure of all the missing angles.

Answers

Answer:

a = 68deg b = 112deg c = 68deg

Step-by-step explanation:

angle opposite 112deg is 112deg (vertically opp angels)

since the 2 angles are same, a = 180deg - 112deg = 68deg (angles on a straight line are supplementary)

b = 112 deg (vertically opp angles)

c = a (vertically opp angles)

Use the information mZ1 = (3x + 30), m42 = (5x – 10°, and x = 20, and the theorems you have learned to
show that 1 || m.

Answers

Answer:

Step-by-step explanation:

First you have to do 2 + 2=

What is the purpose of a pilot​ sample?

a. To help clarify how the sampling process will be performed.
b. To provide an idea of what the population standard deviation might be.
c. To save time and money instead of having to carry out a full sampling plan.
d. To provide a better idea of what the population mean will be.

Answers

Answer:

b. To provide an idea of what the population standard deviation might be

Step-by-step explanation:

Pilot sample can be regarded as the

small scale preliminary experiment whereby a smaller size of samples which is smaller compare to expected size is taken population of interest which gives the estimate for the population standard deviation.

The population standard mean is a parameter and it's been calculated from every entity of the population and

can be calculated using below formula

σ =√Σ (xi -μ)^2 /N

Where N= size of the population

σ= population standard mean

μ= population mean

Xi=each sample from the population

Kyle invests $11200 in two different accounts. The first account paid 10 %, the second account paid
7 % in interest. At the end of the first year he had earned $958 in interest. How much was in each
account?
$____at 10 %
$____at 7 %

Answers

Answer:

Kyle invested 5,800 at 10% and 5,400 at 7%.

Step-by-step explanation:

Let x be the amount Kyle invests in the 10% account.

0.1x + 0.07(11200 - x) = 958

0.1x + 784 - 0.07x = 958

0.03x = 174

x = 5800

Kyle invests $5,800 at 10% and $5,400 at 7%.

What is the simple interest?

Simple interest is the borrowing amount added only to the principal amount.

The Formula to calculate the simple interest is;

                                                 S.I. = P x T x R / 100,

Where S.I. is simple interest, P is principal amount, T is time period and R is interest rate in a year.

Given:

Kyle invests $11200 in two different accounts.

The first account paid 10 %.

The second account paid 7 % in interest.

At the end of the first year,

he had earned $958 in interest.

Let n be the amount Kyle invests in the 10% account.

0.1n + 0.07(11200 - n) = 958

0.1n + 784 - 0.07n = 958

0.03n = 174

n = 5800

Therefore, $5,800 at 10% and $5,400 at 7%.

To learn more about the simple interest; https://brainly.com/question/25845758

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Write an equation for 51 divided by 3 is k

Answers

Answer:

51/3 = 17

Step-by-step explanation:

3 can go into 5 one time (1)

5 minus 3 equals 2.

Bring down the one, make sure the 2 and 1 are beside. (21)

How many times can 3 go in to 21 ?

7 !

So, put 1 and 7 together, and get 17!

Video game system and several games are sold for $664. The cost of the games is 3 times as much is a cost in system. Find the cost of the system the cost of the games.

Answers

Answer:

games=$483

system=$161

Step-by-step explanation:

Answer: the cost of the system is $166 and the cost of the games is $498.

Step-by-step explanation:

In ΔIJK, j = 7.6 cm, k = 7.8 cm and ∠I=27°. Find the length of i, to the nearest 10th of a centimeter.

Answers

Answer:

3.6

Step-by-step explanation:

TRUST ME LOL

Compare using <, > or = 7 2/5 _ 7 3/7 ​

Answers

Answer:

<

Step-by-step explanation:

7 2/5 = 37/5

7 3/5 = 52/7

~~~~~~~~~~~

37/5 times 7 = 259/35

52/7 times 5 = 260/35

~~~~~~~~~~~~~~~~~

Subtract then you difference is one, therefor 7 3/5 is greater.

a line has the equation 3x-4y=1 choose the equation of a line that is parallel to the given line

Answers

Step-by-step explanation:

The equation of the given line is 3x - 4y = 1

A line parallel to the given line will have slope that is the same as this one.

The equation of a straight line is expressed as;

           y  = mx + c

y and x are the coordinates

   m is the slope

    c is the y-intercept

  Now, we write the given line in the slope - intercept form;

       3x - 4y  = 1

            -4y  = -3x + 1

  Divide through by -4

       [tex]\frac{-4y}{-4}[/tex]   = [tex]\frac{-3x}{-4}[/tex]  + [tex]\frac{1}{-4}[/tex]  

          y  = [tex]\frac{3}{4} x[/tex] - [tex]\frac{1}{4}[/tex]  

The slope of this line is [tex]\frac{3}{4}[/tex]  

Any line with the slope  [tex]\frac{3}{4}[/tex]  will be parallel to the given line.


If x² + xy – 3y = 3, then at the point (2, 1), dy/dx
(A) 5
(B) 4
(C) 7/3 (D) 2

Answers

Answer:

A

Step-by-step explanation:

We are given the equation:  

[tex]x^2+xy-3y=3[/tex]

And we want to find dy/dx at the point (2, 1).

Find dy/dx. We can take the derivative of both sides with respect to x:

[tex]\displaystyle \frac{d}{dx}[x^2+xy-3y]=\frac{d}{dx}[3][/tex]

Implicitly differentiate:

[tex]\displaystyle 2x+y+x\frac{dy}{dx}-3\frac{dy}{dx}=0[/tex]

Solve for dy/dx:

[tex]\displaystyle \begin{aligned} x \frac{dy}{dx} - 3\frac{dy}{dx} & = -2x - y \\ \\ \frac{dy}{dx}(x - 3) & = -2x - y \\ \\ \frac{dy}{dx} & = \frac{-2x-y}{x-3} \\ \\ & = \frac{2x+y}{3-x} \end{aligned}[/tex]

To find dy/dx at (2, 1), evaluate dy/dx for x = 2 and y = 1. Hence:

[tex]\displaystyle \frac{dy}{dx}\Big|_{(2, 1)}=\frac{2(2)+1}{3 - (2)}=\frac{5}{1}=5[/tex]

Hence, our answer is A.

We want to find the differential dy/dx for the given expression at the given point. We will see that the correct option is A.

How to differentiate the expression?

We have:

x^2 + xy - 3y = 3

First, we need to isolate the variable y in one side of the equation, so we get:

xy - 3y = 3 - x^2

y*(x - 3) = 3 - x^2

y = (x - x^2)/(x - 3)

Now we can differentiate this, remember that if:

f(x) = g(x)*h(x)

then:

f'(x) = g(x)*h'(x) + g'(x)*h'(x)

Using that rule.

dy/dx = (1 - 2x)/(x - 3) - (x - x^2)/(x - 3)^2

Now we need to evaluate this in x = 2 (the x-value of the point) so we get:

(1 - 2*2)/(2 - 3) - (2 - 2^2)/(2 - 3)^2

= (-3)/(-1) - (-2)/(1) = 5

So the correct option is A.

If you want to learn more about differentiation, you can read:

https://brainly.com/question/24898810

What is the solution to -3 m 49 771-49​

Answers

Answer:

49722

Step-by-step expla Reste los número 49722 solucion  

Alterna entre 4,9722 x 10 a la 4

I WILL MARK BRAINLIST

Answers

Answer:

the Answer is C. A and B

Step-by-step explanation

plot the points for each figure

Ethan has an interesting 10-day job offer. He can earn a flat rate of $100 per day or
get paid $1 the first day, $2 the second day, $4 the third day, $8 the fourth day, and
so on. Which payment plan should he take, the flat-rate plan or the increase-per-day
plan? Explain.

Answers

He should use the increase per day option because in this option he will earn 1209 dollars after 10 days and the other option will only give him 1000 dollars after 10 day

Marlene made a table to relate the number of T-shirts to the total cost. How can
you tell from the table that the relationship is not proportional?
Number of T-shirt
1
2
3
4
A
The number of T-shirts increases in intervals of one.
B
The rule of multiplying by 8 works for all but 4 T-shirts.
C
The number of T-shirts increases by a different amount than the total cost does.
D
All of the numbers of T-shirts can be multiplied by the same amount to get the cost.

Answers

Answer:

The Correct answer would be B.  

The rule of multiplying by 8 works for all but 4 T-shirts

Step-by-step explanation:

Answer:   B) The rule of multiplying by 8 works for all but 4 T-shirts.

Step-by-step explanation:

Got ir right on Time4Learning

The number of miles driven by a truck driver falls between 300 and 700, and follows a uniform distribution.
a. Find the probability that the truck driver goes more than 650 miles in a day.
b. Find the probability that the truck drivers goes between 400 and 650 miles in a day.
c. At least how many miles does the truck driver travel on the furthest 10% of days?

Answers

Answer:

(A) 0.125 probability

(B) 0.625 probability

(C) 660 miles

Step-by-step explanation:

The distance driven by a truck driver daily, falls between 300miles and 700miles and follows a uniform distribution.

(A) The probability that the truck driver goes more than 650 miles a day is:

[700 - 650] / [700 - 300]  = 50/400  = 0.125

(B) The probability that the truck driver goes between 400 and 650 miles a day is:

[650 - 400] / [700 - 300]  = 250/400  = 0.625

(C) The minimum number of miles the truck driver travels on the furthest 10% of days is given thus:

10% of 400  = 40

Subtract this from the farthest distance;

700miles - 40miles  = 660miles

what is the are in square feet of a 100 yard by 60 yard football field

Answers

Area = Length * Width

1 yard = 3 feet

100 yards = 300 feet
60 yards = 180 feet

Area = 300ft * 180ft
Area = 54,000 ft^2
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