Danny charges $30 for 3 hours of swimming lessons, Martin charges $38 for 2 hours of swimming lessons. Who offers a better deal?

If j=23 and j-5 is how old Jeffery's brother is then Jeffrey's brother is 17 years old.

So j=17

There is 1/6 gallon of milk left in Leo's jug.

The step by step fraction subtraction are as follows:

The first step would be to deduct the 3/4 gallon of milk with 1/3 he uses to make the soup.

3/4 - 1/3 = (3x3)/(4x3) - (1x4)/(3x4) = 9/12 - 4/12 = 5/12

Then out of 5/12 gallon of milk left in the jug, he pours 1/4 of the remaining milk into a glass.

5/12 - 1/4 = 5/12 - (1x3)/(4x3) = 5/12 - 3/12 = 2/12 = (2÷2)/(12÷2) = 1/6

So Leo has 1/6 gallon of milk left in the jug.

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Answer:

n+4

Step-by-step explanation:

A factor is what makes up a multiplication sentence. It is a number that is multiplied with another number that gives us the product, the answer to a multiplication sentence.

The range is the best measure of variability for this data, and its value is 4.

The line plot displays the number of roses purchased per day at a grocery store, with the data values ranging from 0 to 4 (since there are no dots above 4).

The best measure of variability for this data is the range, which is the difference between the maximum and minimum values in the data set. In this case, the minimum value is 0 and the maximum value is 4, so the range is:

Range = Maximum value - Minimum value = 4 - 0 = 4

Therefore, the range is the best measure of variability for this data, and its value is 4.

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Answer: its -3

Step-by-step explanation:

Answer:

\(y = 75\)

Step-by-step explanation:

Given

\(y\ \alpha\ \ x\)

\(y=24; x =16\)

Required

Find y when \(x = 50\)

We have:

\(y\ \alpha\ \ x\)

Express as equation

\(y = kx\)

Solve for k

\(k = \frac{y}{x}\)

When \(y=24; x =16\)

\(k = \frac{24}{16}\)

\(k = \frac{3}{2}\)

When \(x = 50\), we have:

\(y = kx\)

\(y = \frac{3}{2} * 50\)

\(y = 75\)

Answer:

$73915.40

Step-by-step explanation:

→ Find the multiplier

( 3 + 100 ) ÷ 100 = 1.03

→ Multiply by principal amount and raise it to the power of years

55000 × 1.03¹⁰ = 73915.40

Answer: $630,513.36

Step-by-step explanation:

Let's make a table of values to see how much he earns every year after graduation.

1 year -> $55,000

2 years -> 55,000 * 103% = $56,650

3 years -> 56,650 * 103% = 55000 * 103% * 103% = $58,349.50

4 years ->  58349.50 * 103% = 55,000 * 103% * 103% * 103% = 55000(1.03)³

Here, we see that every year, he gets 103% of what he got the previous year, which is also 1.03 times his previous salary.

We also see that we multiply 55000 by 1.03 three times in the fourth year, and two times in the third year. This means that we multiply 55000 by 1.03 n-1 times.

Using this, let's generalize this for n.

n years -> \(55000(1.03)^{n-1}\)

We are trying to find his total income after ten years, or the sum of his salary from year 1 to year 10. We can represent this in sigma notation like this

\(% Adjusted limits of summation$\displaystyle\sum_{n=1} ^{10} 55000(1.03)^{n-1}$\)

This essentially translates to the sum of the first ten terms in the sequence \(55000(1.03)^{n-1}\), starting at n=1.

Since this is a geometric sequence, or a sequence where we need to multiply by the same number to get to the next term, we can find the sum using the sum of geometric series formula. This formula is as follows:

\(S_n=a_1\frac{1-r^n}{1-r}\)

where \(S_n\) is the sum of the first n terms, \(a_1\) is the first term, r is the common ratio, and n is the number of terms. In this question, \(S_n\) is the total income after n years, \(a_1\) is his salary after the first year, r is how much his salary increases by each year, and n is the number of years we are calculating the sum for.

\(a_1\) -> 55000

r -> 1.03

n -> 10

Now that we have the values for each variable, let's plug them in and solve

\(S_{10}=55000(\frac{1-1.03^{10}}{1-1.03})\\S_{10}=630513.36\)

The total income he will have received after ten years is $630,513.36.

The number of students who will be going on the trip is B. 40 students.

A mathematical expression is a rule-based set of numbers, variables, and mathematical operations performed to compute the output value.

The mathematical operations used to solve mathematical expressions include additions, subtractions, divisions, and multiplications.

The total of the weekend trip = $4,030

The cost of cleaning for the bus = $30

The cost of food and lodging per student = $60

The bus charge per student = $40

Total cost per student = $100 ($60 + $40)

The total cost, y = 4,030 - 30 - 100x

The number of students = x

x= (4,030 - 30)/100

= (4,000/100)

= 40.

Thus, the number of students who will be going on the trip is B. 40 students.

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4 cm² is its height in centimetres (cm) in triangle .

How do triangles work?

The three vertices of a triangle make it a three-sided polygon. The angles of the triangle are formed by the connection of the three sides end to end at a single point.

                        The triangle's three angles add up to a total of 180 degrees. Three sides, three angles, and three vertices make up the closed, two-dimensional shape of a triangle. A triangle is a type of polygon.

The area of this triangle is 12 cm².

The area of this triangle = 1/2 * b * h

                          12 = 1/2 * 6 * h

                          h = 4 cm²

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Option (b) is the correct option i.e. The height is 5 units.

The height of an object is determined by measuring the distance between its base and its top.

As opposed to length, width, and height for a rectangular shape's area, the basic formula for volume is length, breadth, and height. The calculation is unaffected by how the different dimensions are referred to; for example, "depth" can be used in place of "height."

Given, V = πr².H

          V/πr² = H

So, It can be written in terms of height, H as V/πr².

Now, If r = 3 units and V= 45π then,

H =   V/πr² = 45π / π(3)²

                = 45π/9π

                = 5 units.

Hence, height is 5 units.

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The value of p is 15

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here: Davey reads 58 pages on Saturday and on rest of the days p pages per day

Therefore everyday he reads 58+p pages per day

If he reads for 10 days and he reads a total 1408 pages then we have

In a week there is one Saturday

thus

9p+58=1408

9p=1350

p=15

Thus on the other days p is equal to 15 pages per day.

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The complete question is Davey reads 58 pages on Saturday and p pages on other days and on a span of 10 days he reads 1408 pages. Find the value of p.

Answer:

B, C, & E

Step-by-step explanation:

Answer:

O r= 32 ft

Step-by-step explanation:

im not sure this is right sorry i tried lol

The solution is, The radius is 8 ft.

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

we know that,

The area of a circle is given by

A = pi r^2

so, we get,

64 pi = pi r^2

Divide each side by pi

64 pi /pi= pi/pi r^2

64 = r^2

Take the square root of each side

sqrt(64) = sqrt(r^2)

8 = r

Hence, The solution is, The radius is 8 ft.

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Answer:

B. y=-x – 7

Step-by-step explanation:

Answer:

0.0825

Step-by-step explanation:

8.25×0.10=0.0825

No, what they said is not fact.

The statement "producing great engineers who benefit science and technology in India is the most important function of IITs" and "IITs are greatly improving the image of India in the West" are both important functions of IITs, and the priority of these functions may depend on individual perspectives and goals.

Some people might argue that producing engineers is more crucial for the development of India's technology and economy, while others might argue that improving the image of India in the West is equally important for increasing its global recognition and competitiveness. Both functions play important roles and it is a matter of perspective which one is considered more important.

Correct Question :

Jai: IITs are producing great engineers, who ultimately end up benefiting science and technology in India, but more important is the fact that they are greatly improving the image of India in the west

Vijay: No, you're mistaken. Producing great engineers who benefit science and technology in India is the most important function of IITs. Without IITs, most of our software industry wouldn't have existed.

What they said is fact or not? Explain.

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Answer:

Distance from zero.

Step-by-step explanation:

a good example would be this:

the absolute value of -8 is +8 because -8 is 8 units from zero on the number line.

with everything else, whenever you have a negative number and it's a negative integer, it'll always be negative, and whenever you're trying to switch from positive it'll always be plus.

I hope that makes sense!

Positive integer ( + 5, + 7, + 9 )

negative integers ( - 5, - 7, and - 9 )

The term that can be added to the list so that the greatest common factor of the three terms  12h3 36h3, 12h6, is 48h5

A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.

The term that  can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12  without any  fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.

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Answer:

26

Step-by-step explanation:

169 divided by 6.50 will be 26.

Good luck :)

Answer:

26

Step-by-step explanation:

$169 / $6.50 = 26

She sold 26 cookie dough tubs.

Answer:

50

Step-by-step explanation:

(6+√-64)(3-√-16)

6(3-√-16) +√-64(3-√-16)

18 - 6√-16 + 3√-64 - √1024

18 - 6(4i) + 3(8i) - 32i²

i² = -1

18 - 24i + 24i - (-1) 32

18 + 24i - 24i + 32

18 + 32 = 50

I hope this helps!

Answer:

C

Step-by-step explanation:

They are neither perpendicular nor parallel since line 1 has slope=-3/5 and line 2 has slope=-5/3. They are neither equal nor have a product equal to - 1.

Answer:

what do you mean by land ?

The intensity of sound is proportional to the square of its amplitude.

Thus, if I9 and I8 are the intensities of sounds at 9 decibels and 8 decibels respectively, then:

I9/I8 = (10^(9/10))/(10^(8/10))

I9/I8 = 10^(0.1)

I9/I8 = 1.2589

Therefore, the relative intensity of 9 decibels is approximately 1.26 times higher than that of 8 decibels.

May I please have a Brainliest? I put a lot of thought and effort into my answers, so I would really appreciate it!

Answer:

A

Step-by-step explanation:

An acute angle is an angle that is less than 90 degrees.

Answer:

Step-by-step explanation:

A

Answer:

y = -32

Step-by-step explanation:

-6(y+15)=-3y+6

Distribute

-6y - 90 = -3y +6

Add 6y to each side

-6y -90+6y = -3y+6y +6

-90 = 3y+6

Subtract 6 from each side

-90 -6 = 3y +6-6

-96 = 3y

Divide by 3

-96/3 = 3y/3

-32 = y

Answer:

-32 !!!!

Step-by-step explanation:

Answer:

the profit percentage based on the cost & selling price is 16.67% and 14.29% respectively

Step-by-step explanation:

The computation of the profit percentage based on the cost & selling price is shown below:

The Profit percentage on the cost is

= (Sale price - cost price) ÷ (cost price) × 100

= ($175 - $150) ÷ ($150) × 100

= 16.67%

ANd, the profit percentage based on the selling price is

= (Sale price - cost price) ÷ (selling price) × 100

= ($175 - $150) ÷ ($175) × 100

= 14.29%

Hence, the profit percentage based on the cost & selling price is 16.67% and 14.29% respectively

Answer:

= 1/7 or 0.(142857) in decimal

Step-by-step explanation:

(4/7) - (3/7)

= 1/7

An equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is \(7x > -22.\)

To find an equivalent inequality, we can start by simplifying the given inequality and then make adjustments to preserve its truth.

Let's simplify the given inequality step by step:

\(-4(x + 7) < 3(x - 2)\)

Expanding both sides:

\(-4x - 28 < 3x - 6\)

Grouping like terms:

\(-4x - 3x < -6 + 28\)

Simplifying:

\(-7x < 22\)

To maintain the direction of the inequality, we need to multiply both sides by -1.

However, when we multiply or divide both sides of an inequality by a negative number, the direction of the inequality is reversed.

Therefore, we need to flip the inequality sign:

\(7x > -22\)

Hence, an equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is

\(7x > -22.\)

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