Mathematics College

A school party visit the gift shop. They all want to buy a badge. Your friend needs to get 37 badges from the stock room. The badges come in packs of 10. How many packs does she need?

Answers

Answer 1

She needs 4 packs and she will then have a spare 3

Answer 2

Answer:

She will need 4 packs.

Step-by-step explanation:

The badges come in packs of 10 but this person only needs 37 badges.

If she buys two packs, she will get 20 badges.

If she buys three packs, she will get 30 badges.

Is she buys four packs, she will get 40 badges.

She will need four packs so she can have 37 badges and there will be 3 remaining badges.

Related Questions

best estimate of 48% of 60

Answers

A very good estimate of 48% of 60 is 30, since 48% is almost half of a number, and 30 is half of 60. When you 60 * 0.48, the real answer is 28.8.

Really need help with this, am I on the right track or no?

Answers

[tex]\bf a)\\\\ V=\stackrel{\textit{volume of cone}}{\cfrac{\pi r^2\cdot \boxed{3r}}{3}}+\stackrel{\textit{volume of hemisphere}}{\cfrac{2\pi r^3}{3}}\implies V=\cfrac{3\pi r^3}{3}+\cfrac{2\pi r^3}{3} \\\\\\V=\cfrac{5\pi r^3}{3} \\\\\\ S=\stackrel{\textit{lateral area of cone}}{\pi r\sqrt{r^2+\boxed{3^2r^2}}}+\stackrel{\textit{area of hemisphere}}{2\pi r^2}\implies S=\pi r\sqrt{r^2+9r^2}+2\pi r^2[/tex]

[tex]\bf S=\pi r\sqrt{10r^2}+2\pi r^2\implies S=\pi r^2\sqrt{10}+2\pi r^2 \\\\\\ S=\pi r^2(2+\sqrt{10})\\\\\\ b)\\\\ \stackrel{A=kS}{A=k\cdot \pi r^2(2+\sqrt{10})}\qquad \qquad \stackrel{C=kV}{C=k\cdot \cfrac{5\pi r^3}{3}}[/tex]

[tex]\bf c)\\\\ A\ge C\implies k\cdot \pi r^2(2+\sqrt{10})\ge k\cdot \cfrac{5\pi r^3}{3} \\\\\\ k\pi r^2(2+\sqrt{10})\ge \cfrac{5k\pi r^2r}{3}\implies \cfrac{\underline{k\pi r^2}(2+\sqrt{10})}{\underline{k\pi r^2}}\ge\cfrac{5r}{3} \\\\\\ 3(2+\sqrt{10})\ge 5r\implies 6+3\sqrt{10}\ge 5r\implies \cfrac{6+3\sqrt{10}}{5}\ge r[/tex]

What is 8.61×10−8 in decimal form?

A.0.000000861

B.0.0000000861

C.8,610,000

D.861,000,000

Answers

Answer:

B. 0.0000000861

Step-by-step explanation:

The exponent of -8 tells you the leading digit (8) goes in the 8th spot to the right of the decimal point. The number is ...

[tex]0.0000\,0008\,61[/tex]

A car travels 208 miles on 10 gallons of gasoline. Mentally calculate the number of miles that the car travels on 1 gallon of gasoline.

Answers

10 gallons= 208
1 gallon: 208 ÷10= 20.8
(when you divide by 10, the decimal place jumps front 1 place!)
hope this helps!

a sixth grade class has 12 boys and 24 girls consider this statement: <br />for every two boys there are 4 girls do you agree with this statement?

Answers

so the ratio of boys to girls is 12:24.. now, is that an equivalent ratio as 2 boys for 4 girls? or 2:4? let's see.

[tex]\bf \cfrac{boys}{girls}\qquad 12:24\qquad \cfrac{12}{24}\implies \boxed{\cfrac{1}{2}} \\\\\\ \cfrac{boys}{girls}\qquad 2:4\qquad \cfrac{2}{4}\implies \boxed{\cfrac{1}{2}}[/tex]

you could start simplifying the 12/24 fraction by dividing by some common multiple, say 2, and get 6/12, then divide by 3 and get 2/4 and stop there.

then you'll notice that 12/24 is really 2/4 in disguise.

Find the cube number that is greater than 50 but less than 100

Answers

The cube number is 64. It is 4 x 4 x 4.

the cube number that is greater than 50 but less than 100 is 64

What is: Q=1/2P+15, solve for P?

Answers

Answer:

2 ( Q - 15 ) = P

Step-by-step explanation:

[tex]Q =\frac{1P}{2} + 15[/tex]

First, take 15 to the left side.

[tex]Q -15=\frac{1P}{2}[/tex]

Multiply both sides by 2.

2 ( Q - 15 ) = 1P

Divide both sides by 1.

2 ( Q - 15 ) = P

If a well pumps at a rate of 8.4 gal per minute how long would it take to fill the tank described above

Answers

Final answer:

To calculate the time it takes to fill a tank using a well pump that pumps at 8.4 gallons per minute, divide the tank's volume (in gallons) by the pump's output rate (8.4 gallons per minute). For example, for a tank with a volume of 84 gallons, it would take about 10 minutes to fill.

Explanation:

The time it takes to fill the tank with a well pump pumping at a rate of 8.4 gallons per minute depends on the size of the tank, which wasn't specified in your question. However, to calculate this, you would use the formula: Time = Volume / Rate. If 'Volume' is the size of your tank in gallons and 'Rate' is the rate the well pump can pump water in gallons per minute (8.4 in this case), you would divide the 'Volume' by the 'Rate' to get the time it would take to fill the tank in minutes.

For example, if your tank has a volume of 84 gallons, using our formula: Time = Volume / Rate, it would translate to Time = 84 / 8.4. This gives us a duration of 10 minutes.

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what is the value of a laptop that is 1700.00 with a decrease of 35% for 5 years

Answers

[tex]\bf \qquad \textit{Amount for Exponential Decay}\\\\ A=I(1 - r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ I=\textit{initial amount}\to &1700.00\\ r=rate\to 35\%\to \frac{35}{100}\to &0.35\\ t=\textit{elapsed time}\to &5\\ \end{cases} \\\\\\ A=1700.00(1-0.35)^5[/tex]

Now, find the value of 316⋅2574⋅32.don't be intimidated by the complexity of this expression. finding this value consists of simply multiplying twice and then dividing once, tasks that are no more difficult than what you've done before.

Answers

Given
[tex]\frac{3}{16}\cdot\frac{2}{5}\div\frac{7}{4}\cdot\frac{3}{2}[/tex]
we solve the problem by breaking it into two part before we join them and divide.

For the first part, we have
[tex]\frac{3}{16}\cdot\frac{2}{5}=\frac{3}{40}[/tex]

For the second part we have
[tex]\frac{7}{4}\cdot\frac{3}{2}=\frac{21}{8}[/tex]

We now join the first part and the second part to divide as follows:

[tex]\frac{3}{40}\div\frac{21}{8}=\frac{3}{40}\cdot \frac{8}{21} = \frac{1}{35} [/tex]

A car can travel 20 miles on a gallon of gas. Write and solve an inequality to show at least how many gallons of gas are needed to travel 100 miles? let g=gallons of gas

Answers

20g=100

This means 20 miles times the number of gallons needed to equal 100 miles

What is the slope of the line passing through points A(−18,24) and B(16,−8)?
Enter your answer as a ratio, in simplest form, like this: 42/53

Answers

[tex]\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) A&({{ -18}}\quad ,&{{ 24}})\quad % (c,d) B&({{ 16}}\quad ,&{{ -8}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-8-24}{16-(-18)}\implies \cfrac{-8-24}{16+18} \\\\\\ \cfrac{-32}{34}\implies -\cfrac{16}{17}[/tex]

Use pictures and numbers to show all the ways to take apart 8

Answers

Test if 8 is divisible by all possible numbers. Start by testing the smallest number possible (1) and making your way up to the largest number possible (7). 8/1= 8 8/2=4 8/3= not a whole number 8/4 = 2 8/5 = not a whole number 8/6 = not a whole number 8/7 = not a whole number note we did not try 8/8 because that would not be considered "taking apart". After sorting out our test answers we can conclude that you can take 8 apart in three ways. In 8 groups of 1, in 2 groups of 4, and in 4 groups of 2. You can show this in pictures by illustrating these groups. See Below x x x x x x x x xx xx xx xx xxxx xxxx

what is square root of 8 plus square root of 50 minus square root of 72

Answers

The square root of 8 is 3, the square root of 50 is 7, and the square root of 72 is 8. 3+7-8=2.

Answer:

1.41421356237 making it a terminating decimal.

Step-by-step explanation:

2.82842712475

7.07106781187

8.48528137424

Simplified Answer

1.4 or 1.41

I hope this helped :) can you please mark as brainliest?

The tempature at 6:00 P.M. was 0°F. At midnight the tempature was 5° lower. By 6:00 A.M., the tempature was 4° lower than it had been at midnight. By noon, the tempature had gone up by 10°. What was the noontime tempature?

Answers

1 degree Fahrenheit your subtracting 0 from 5 and you get -5 then you subtract -4 from -5 and you get -9 then add 10 and you get 1

Mr. Johnson used 80 meters of fencing to enclose a rectangular garden.
The length of the garden is 25 meters.
How wide is the garden?
A) 25
B) 15
C) 30
D) 50

Answers

25*2 = 50

80-50 =30

30 /2 = 15

Answer is B

How many liters of milk are in 334 gal (1 gal = 4 qt)? enter your answer in scientific notation?

Answers

1 gallon = 3.7854118 liter.

So 334 gallon = 334*3.7854118 = 1264.328 liters.

Now we can write it as
[tex]1264.328 = 1.264328 * 10^{3}[/tex]

So in scientific notation 334 gallon equal to [tex]1.264328*10^{3}[/tex]

1.2643275×10³ litres of milk are in 334 gals.

We need to find out how many litres of milk are in 334 gals (1 gal = 4 qt).

What is scientific notation?

The scientific notation helps us to represent the numbers that are very huge or very tiny in a form of multiplication of single-digit numbers and 10 raised to the power of the respective exponent. The exponent is positive if the number is very large and it is negative if the number is very small.

We know that, 1 gallon=3.785411784 litre

Now, 334 gallon=334×3.785411784

=1,264.3275 litres

=1.2643275×10³

Therefore, 1.2643275×10³ litres of milk are in 334 gals.

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Selena's family took a road trip. The first day they traveled 462 miles in 7 hours. They continued at the same rate on the second day and traveled for 4 hours. How far did they travel in all?

Answers

First, find the rate of travel (speed). 462 miles in 7 hours comes out to 66 mph.

The first day, the family covers 462 miles.

The second day, the family covers (66 mph)(4 hours) = 264 miles.

Just add 462 miles and 264 miles together to find the total distance traveled.

Hello! 462/7 = 66. Selena’s family drove 66 miles per hour. Then, they drove the same rate again for 4 hours. 66 * 4 = 264. 462 + 264 = 726. Her family drove a total of 726 miles.

The square root of -108

Answers

Because the number you provided is negative, we won't get a real answer instead a complex answer.

Now simplify the square root.

To simplify a square root, find two factors where one of the factors is a perfect square.

[tex]\sqrt{-108} = \sqrt{(-3)(36)} = \sqrt{-3}\sqrt{36} = 6\sqrt{(-1)(3)} = 6\sqrt{(-1)}\sqrt{3} = 6i\sqrt{3}[/tex]

If country a has 163,950 million more computers than country b and the total number of computers for both countries is 314,250 million, find the number of computers for each country

Answers

Country A = 163,950
Country B = ?
314250= B+[B+163950]
314250-163950= 2B
150300=2B
B=75150 millon
A=239100 millon

Answer:

Country A has 239100 million computers and country B has 75150 computers.

Step-by-step explanation:

Let country A has number of computers = x

and the number of computers in country B = y

By the statement " Country A has 163950 million more computers than country B"

x = y + 163950 ------(1)

Another statement states " Total number of computers in both the countries is 314250 million"

x + y = 314250 --------(2)

Now we place the value of x from equation (1) to equation (2)

y + y + 163950 = 314250

2y = 314250 - 163950

2y = 150300

y = [tex]\frac{150300}{2}[/tex]

= 75150

From equation 1

x = 75150 + 163950

= 239100

Therefore, country A has 239100 million computers and country B has 75150 computers.

a student worked 5 days/week and 8h/day. he earned $300/week. What was his hourly rate of pay?

Answers

5 days x 8 hours per day = 40 hours total

300/40 = $7.50 per hour

The hourly rate for students will be $7.5 per hour.

What is the arithmetic operator?

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given,

Number of days working in one week = 5 days

Number of hours working in one day = 8 hour

So,

A number of hour working in one week = 5 × 8 = 40 hours.

Now

Hourly rate of pay = Earning per week/number of hours working per week

Hourly rate of pay = 300/40 = $7.5.

Hence "The hourly rate for students will be $7.5 per hour".

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3x + 8 = -x + 20 What is x?

Answers

First, lets take all the x values on one side.

3x + x + 8 = -x + x + 20
4x + 8 = 20

Now, lets put the numbers on the other side.

4x + 8 - 8 = 20 - 8
4x = 12
x = 3

Hope this helps!

Hello there.

First, we need to isolate x to one side of the equation. To do this, we need to cancel out one of the x's by adding or subtracting it's opposite. Since the right side of the equation has a lower value, we'll cancel that one.

Remember, what you do to one side of the equation, you must do to the other side.

3x + 8 = -x + 20
Add 1x to both sides (this cancels out -x and adds 1x to 3x).

4x + 8 = 20
Now we need to isolate the variable. Our current equation has the variable being added to a number, so we need to cancel out that number. To do this, we need to subtract the value of the number.

4x + 8 = 20
Subtract 8 from both sides.

4x = 12
Now, all we need to do is perform the opposite order of operations to 4x in order to solve for x. Since x is being multiplied by 4, we need to divide both sides by 4.

x = 3 is your answer.

I hope this helps, and have a great day!

a central angle θ of a circle with radius 16 inches subtends an arc of 19.36 inches. find θ

Answers

I believe you're going to be working in degrees, there is a different scaling factor for radians (θ/2pi). The arc length formula is just the formula for the circumference of a circle scaled by how many degrees of the circle you have. In this case, radius is 16, arc length is 19.36. Then we have:
[tex]19.36=2 \pi (16)\frac{\theta}{360}[/tex]

Solve for θ.

The required measure of the angle Ф is given as Ф = 69.36°.

As mentioned in the question, a central angle θ of a circle with a radius of 16 inches subtends an arc of 19.36 inches.

What are the angles?

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

here,
Angle = [arc/radius] 180/π
Substitute the values in the above equation,
Ф = [19.36/16]180/3.14
Ф = 69.36°

Thus, The required measure of the angle Ф is given as Ф = 69.36°.

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y – (-5) = -7 can you help me solve this equation

Answers

y - (-5) = -7
y + 5 = -7
y = -12

1.multiply - × -5 = 5 ( negative times a negative = positive

2. subtract 5 to both sides

3. you get y = -12

Jackrabbits are capable of reaching speeds up to 40 miles per hour. How fast is this in feet per second? (Round to the nearest whole number.)

5,280 feet = 1 mile

Answers

40 x 5280 = 211200 feet per hour

211200 / 3600 = 58.666 = 59 feet per second

How do you write 314,207 in standard form?

Answers

314207 is standard form....

It is already in standard form. If you you like in word form and expanded form then here. Word form: three hundred fourteen thousand, two hundred and seven. Expanded form: 300,000 + 14,000 + 200 + 7. Once again 314,207 is already written in standard form. Hope this helps!

What is the simplified expression for the expression below?

4(3x – 2) + 6x(2 – 1)

Answers

4(3x – 2) + 6x(2 – 1)12x - 8 + 12x -6x18x - 8
answer is 18x – 8

its ethier 12 (2x-1)
or
24x-12

Write three more equations with integer coefficients and the variable x that have the same solution set {7, -1}. Explain.

Answers

The given values of abscissa and ordinate in the given are that which when substituted to the values of x and y in the equation will make the equation true. This means that the left and right-hand side of the equation will be equal. The established equations should have a basis of,

x + y = c

The equations are,

x + y = 6

Substituting x = 7 and y = -1,

7 + (-1) = 6 ; 6 = 6

The other two equations will be,

2x + y = 13 and,

x + 2y = 5

It is to be noted that countless of equations can be made with the given solution so long as the equation is valid.

The ray XZ is the angle bisector of ∠WXY and m∠WXY = 105°. Enter m∠WXZ. The measure of ∠WXZ is

Answers

Answer:

∠WXZ = 52.5

Step-by-step explanation:

Angle Bisector is the line that divides that angle into two equal parts.

Hence, Ray XZ divide the ∠WXY into two equal parts.

⇒ [tex]\angle WXZ = \frac{1}{2} \angle WXY [/tex]

∴ [tex]\angle WXZ =\frac{1}{2}\times105^{\circ}=52.5[/tex]

⇒ ∠WXZ = 52.5

An angle bisector divides an angle into two equal parts.

The measure of [tex]\angle WXZ[/tex] is [tex]52.5^o[/tex]

Given that:

[tex]XZ \to[/tex] Bisector of [tex]\angle WXY[/tex]

[tex]\angle WXY = 105^o[/tex]

This means that:

[tex]\angle WXY = 2 \times \angle WXZ[/tex]

So, we have:

[tex]105^o = 2 \times \angle WXZ[/tex]

Divide both sides by 2

[tex]52.5^o = \angle WXZ[/tex]

Rewrite as:

[tex]\angle WXZ = 52.5^o[/tex]

Hence, the measure of [tex]\angle WXZ[/tex] is [tex]52.5^o[/tex]

Answers

Final answer:

The original value of the house before the 29% increase was approximately $300,000, calculated by dividing the current value of $387,000 by the total percentage value of 129%.

Explanation:

The student's question revolves around the concept of percentage increase in Mathematics. To find the original value of the house before the increase, we need to consider the current value as 129% of the original value (since there was a 29% increase). Let's denote the original value as P.

So, we can set up the equation: 1.29 * P = $387,000. To solve for P, we divide both sides by 1.29: P = $387,000 / 1.29. Upon performing this division, we find that P, or the original purchase price of the house was approximately $300,000.

Final answer:

To find the value when the house was purchased, we set up an equation using the given information and solved for the original value. The value of the house when it was purchased was approximately $300,775.19.

Explanation:

To find the value of the house when it was purchased, we need to determine the original value before the 29% increase.

Let's assume the original value is x. The current value is $387,000, which is 29% higher than x.

We can express this as an equation: x + 0.29x = $387,000.

Combining like terms, we get 1.29x = $387,000.

Dividing both sides by 1.29, we find that x = $300,775.19.

Therefore, the value of the house when it was purchased was approximately $300,775.19.

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