what is n/8=11/5 solve for n

Final answer:

Betty needs 13 jars to can 104 pears and 21 jars to can 126 apples, making a total of 34 jars.

Explanation:

To determine how many jars Betty needs to can 104 pears and 126 apples, we must consider the capacity of the jars. Each jar holds 8 pears or 6 apples. Therefore, we need to calculate how many jars are required for each fruit separately.

For pears:

For apples:

The total jars needed equals the sum of the jars needed for pears and the jars needed for apples, which is 13 jars for pears plus 21 jars for apples, totaling to 34 jars.

Answer:

20x−18

Step-by-step explanation:

Apply the distributive property.

8x−6⋅3−6(−2x)8x-6⋅3-6(-2x)

Multiply −6-6 by 33.

8x−18−6(−2x)8x-18-6(-2x)

Multiply −2-2 by −6-6.

8x−18+12x

Add 8x8x and 12x12x.

20x−18

The given expression 8x - 6(3 - 2x) simplifies to 20x - 18.

The expression is given as follows:

8x - 6(3 - 2x)

As we know that algebraic expressions are mathematical statements that comprise at least two variables or integers.

Start by distributing the -6 to the terms inside the parentheses:

⇒ 8x - 6 × 3 + 6 × 2x

Simplify the above expression to get:

⇒ 8x - 18 + 12x

Combine like terms in the above expression to get:

⇒ 20x - 18

Therefore, the given expression 8x - 6(3 - 2x) simplifies to 20x - 18.

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Answer:

thirteen divided by y

Step-by-step explanation:

Answer:

1788

Step-by-step explanation:

The number of students who graduates from college is multiplied by a factor of 1.045 every year since 1999.

So, the number of students graduated every year can be modeled as

[tex]G(x) = 924(1.045)^{x}[/tex] where x is the number of the year since 1999.

Now, in 2014, the x value is (14 + 1) = 15 years.

So, the number of students who will graduate in 2014 is given by

[tex]G(15) = 924(1.045)^{15} = 1788.2[/tex] ≈ 1788. (Answer)

The area of the triangle is 16 square feet.

The formula for finding the area of a triangle is given by:

Area = 1/2 * base * height

Given that the base of the triangle measures 6.4 feet and the height measures 5 feet, we can substitute these values into the formula:

Area = 1/2 * 6.4 * 5 = 16 square feet

Therefore, the area of the triangle is 16 square feet.

Answer:

A

Step-by-step explanation:

The answer is A because it says -4 and not -1/4.

Final answer:

Option C, adding 1 to both sides, is not an appropriate first step in solving the equation -1/4(x-1)=2/3x+2. Claire should instead focus on simplifying the equation, such as using distributive property or eliminating fractions.

Explanation:

To solve the equation -1/4(x-1)=2/3x+2, there are several steps that Claire can take. However, answer option C, which suggests adding 1 to both sides, is not an appropriate first step for solving for x. Instead, Claire might consider other steps like using the distributive property or getting rid of the fractions by multiplying both sides of the equation by a common denominator.

When solving linear equations, it is generally more logical to start by simplifying each side of the equation by using distribution or by eliminating fractions. This makes further manipulation of the equation simpler and more straightforward. The inappropriate step of adding 1 would create an extra unnecessary step, not simplifying the equation in a beneficial way.

Answer:

  24

Step-by-step explanation:

Subtract 15 from both sides of the equation:

  m^2 +8 -15 = 39 -15

  m^2 -7 = 24

Answer:

36/5 = 7 1/5

Step-by-step explanation: hope this help!

Answer:

9​% decrease

Step-by-step explanation:

The y-intercept of the function g(x), defined as g(x) = f(x) + 9 where f(x) = -3x - 5, is 4. This is determined by evaluating g(0), resulting in a y-intercept at the point (0, 4).

The question asks about finding the y-intercept of the function g(x), which is defined in terms of another function f(x). Given that f(x) is equal to -3x - 5 and g(x) equals f(x) + 9, to find the y-intercept of g(x), we substitute x with 0 in the function f(x) and then add 9. The y-intercept is the point where the function crosses the y-axis, which is when x = 0.

First, we find the value of f(0):

Next, we determine g(0) by adding 9 to the value of f(0):

Therefore, the y-intercept of g(x) is 4, which means the line representing g(x) crosses the y-axis at the point (0, 4).

Answer:

both of The answers are equal to Zero

Answer:

[tex]x=3\frac{1}{3}^\°[/tex]

Step-by-step explanation:

Given equation:

[tex]6x+1\°=3x+11\°[/tex]

To find the angle measure of [tex]x[/tex]   

Solution:

In order to find the angle measure [tex]x[/tex] , we will isolate [tex]x[/tex] on left side by carrying out math operations on both sides.

We have:

[tex]6x+1\°=3x+11\°[/tex]

Subtracting both sides by [tex]3x[/tex]  

[tex]6x-3x+1\°=3x-3x+11\°[/tex]

 [tex]3x+1\°=11\°[/tex]

Subtracting both sides by 1°.

[tex]3x+1\°-1\°=11\°-1\°[/tex]

[tex]3x=10\°[/tex]  

Dividing both sides by 3.

[tex]\frac{3x}{3}=\frac{10\°}{3}[/tex]

[tex]x=\frac{10}3}^\°[/tex]

Converting fraction to mixed number by dividing and writing the quotient as whole number and the remainder as numerator.

∴  [tex]x=3\frac{1}{3}^\°[/tex]  (Answer)

Step-by-step explanation:

if x=1/4 then y=1/4-1/4=0

if x=13/4 then y=13/4-1/4=12/4=3

if x=2 then y=2-1/4=8/4-1/4=7/4=1 3/4

Answer:

Discounted percent = 42.5% and price of the discounted product compared to original is 57.5%

Step-by-step explanation:

$46 = Discount of some decimal of $80

46 = x(80)

46/80 = 0.575

Change it to percent

57.5% discount

The discount expressed as a percent of the regular price is approximately 42.5%.

Here, we have,

To calculate the discount as a percent of the regular price, we can use the following formula:

Discount Percentage = (Discount Amount / Regular Price) × 100%

Given that

the regular price is $80 and the sale price is $46, we can calculate the discount amount by subtracting the sale price from the regular price:

Discount Amount = Regular Price - Sale Price

Discount Amount = $80 - $46

Discount Amount = $34

Now we can calculate the discount percentage:

Discount Percentage = (Discount Amount / Regular Price) × 100%

Discount Percentage = ($34 / $80) × 100%

Discount Percentage ≈ 42.5%

Therefore, the discount expressed as a percent of the regular price is approximately 42.5%.

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Answer:

The graph is shown below.

Step-by-step explanation:

Given:

The inequalities to solve by graphing are given as:

[tex]y>2x\\\\y<3[/tex]

Now, in order to graph them, we first replace inequality sign by equal to sign.

So, the two equations are given as:

[tex]y=2x\\\\y=3[/tex]

Now, the first equation is a straight line of the form [tex]y=mx[/tex]. This is a line that passes through origin with slope equal to 'm'.

So, the slope of the first line is 2.

In order to plot the line,we take a random value of 'x'. Let [tex]x=1[/tex]

So, [tex]y=2\times 1=2[/tex]

So, the point on the line is (1, 2)

Now, we draw a line passing through the points (0, 0) and (1, 2). This is the line for the first equation.

Now, the second equation is a straight line parallel to the x-axis.

So, the equation [tex]y=3[/tex] is a straight line parallel to x-axis passing through the point (0, 3) as shown below.

Now, since the first inequality has 'y' greater than '2x'. So, the solution region is left of the line excluding the line.

Also, the second inequality has 'y' less than 3. So, the solution region is below the line excluding the line.

The common region for both the line inequalities is the solution.

The solution region is shown below.

Answer:

o, the solution region is left of the line excluding the line.

Also, the second inequality has 'y' less than 3. So, the solution region is below the line excluding the line.

Step-by-step explanation:

Answer: 3.35 in 3 significant figures.

Step-by-step explanation:

According to question,

Perimeter ∝ length

Here, ∝ means directly proportional.

To remove symbol, introduce a constant. Let the constant be k.

Perimeter ∝ length

Perimeter = k × length

Now, perimeter = 17.7 and length = 5.29

Perimeter = k × length

k = perimeter / length

k = 17.7 / 5.29

k = 3.35 in 3 significant figures.

Answer:

3

Step-by-step explanation:

k=y/x

k=17.75/5.29

k= 3.345

=3

Answer:

Step-by-step explanation:

1.  sin37xcsc37

For this use the recipricol identity.  csc37 = 1/sin37

sin37x(1/sin37)  =  (sin37)/(sin37) = 1

2.  sec^2(23) - tan^2(23)

For this one use the pythagorean identity

sec^2(23) = 1+tan^2(23)

1+tan^2(23) - tan^2(23) = 1

Answer: x = 623

Step-by-step explanation: In this problem, notice that x is being divided by 7 so to get x by itself,

we need to multiply both sides of the equation by 7.

Notice that on the left side, the 7 and 7 cancel each other out so we're just left with x. On the right side we have

89 x 7 which is 623 so x = 623.

Finally, we can check our answer by plugging a 623 back into the original equation. So we have [tex]\frac{(623)}{7} = 89[/tex] or 89 = 89. Since this is true, our answer checks.

Answer:

3.1415926535

I can't explain why but I tried my best, I hope it helped.

Answer:

3/5

Step-by-step explanation:

there are 20 people altogether in the class (12 plus 8)

since 12 of them are girls the probability it 12/20

but to simplify it we divide both sides of the fraction by 4 (as that's the largest whole number they will both divide by) and we get 3/5

Answer:

Number of instructors are 225.

Step-by-step explanation:

Given:

Total number of employees at bright mind learning = 300

Number of instructors = 75%

We have to convert this percentage and find the number.

So,

[tex]75\%[/tex] can be written as [tex]\frac{75}{100}=0.75[/tex]

Now 75% of 300 employees are the instructors at Bright mind learning.

Can be written as [tex]0.75*300=225[/tex]

Number of instructors at Bright mind learning =225

Answer:

0

Step-by-step explanation:

The total purchase price is $ 357.75

Solution:

Joanna buys a table and 2 chairs

Cost of table = $ 250

Cost of 1 chair = $ 100

Therefore, cost of a table and 2 chairs = 250 + 2(100) = 450

Thus, cost price = $ 450

She receives a 25% discount for being a preferred customer

Therefore, discount = 25 % of cost price

[tex]discount = 25 \% \times 450\\\\discount = \frac{25}{100} \times 450\\\\discount = 0.25 \times 450 = 112.5[/tex]

Thus, amount after discount = cost price - discount

amount after discount = 450 - 112.5 = 337.5

Thus, amount after discount is $ 337.5

Then pays 6% sales tax on the discounted purchase price

Sales tax = 6 % of 337.5

[tex]sales\ tax = 6 \% \times 337.5\\\\sales\ tax = \frac{6}{100} \times 337.5\\\\sales\ tax = 20.25[/tex]

Thus, total purchase price is given as:

total purchase price = Amount after discount + sales tax

total purchase price = 337.5 + 20.25 = 357.75

Thus total purchase price is $ 357.75

Answer:

y ≈ 242.4 ft

Step-by-step explanation:

The lower angle in the triangle is 29° ( alternate angles )

Using the sine ratio in the right triangle

sin29° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{500}[/tex]

Multiply both sides by 500

500 × sin29° = y, thus

y ≈ 242.4 ft ( to the nearest tenth )

Answer:

[tex]\displaystyle 2\ \frac{1}{4}[/tex]

Step-by-step explanation:

Fractions

They can be expressed as proper fractions, improper fractions or mixed numbers. Proper fractions are such that the numerator is less than the denominator, like 2/5, 7/11, -9/10. Improper fractions are those whose numerators are greater than the denominator, such as 5/3, 10/9, -21/8.  

Mixed numbers are expressions made of whole numbers and a proper fraction, like 4 3/5, 1 1/2, -5 4/9. Mixed numbers can be transformed to improper fractions and vice-versa.

The question requires us to find the average change in field position on each run of the running back for the Bulldogs football team which carried the ball 5 times for a total loss of 11 1/4 yards.

The number 11 1/4 is mixed, to express it as an improper fraction, we add the numbers like

[tex]\displaystyle 11+\frac{1}{4}=\frac{45}{4}[/tex]

This improper fraction will now be divided by 5 to find the average of 5 runs:

[tex]\displaystyle \frac{\frac{45}{4}}{5}=\frac{9}{4}[/tex]

We now need to separate the improper fraction to a mixed number, let's just divide 9 by 4 to get 2 as the quotient and 1 for the remainder, thus

[tex]\boxed{\displaystyle \frac{9}{4}=2\ \frac{1}{4}}[/tex]

Answer:

  16 mL

Step-by-step explanation:

The ratio of areas is (245 cm²)/(45 cm²) = 16/3, so Kwesi expects the ratio of volumes to be the same:

  (needed volume)/(3 mL) = 16/3

  needed volume = (16/3)×(3 mL) = 16 mL

Kwesi expects to need 16 mL of sunscreen to cover 240 cm² of skin.

Answer:

one solution (1,5)

Step-by-step explanation:

if you graph the equations on a graph the line would intersect.

intersect = one solution

overlap = infinite solutions

parallel = no solution

Answer:

No, because 3x+9/2 isn't equivalent to 3x+3/2.

Step-by-step explanation:

1 1/2=3/2

3(x+3/2)=3x+9/2

The given sequence is not geometric because they don't have a common ratio.

A geometric sequence is set of numbers which have a common ratio. The next number in a geometirc sequence is the multiple of the previous  number.

-1/1 = -1

4/1 = 4

8/4 = 2

The numbers don't have a common ratio.

Thus, we can conclude that the given sequence is not geometric because they don't have a common ratio.

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The common ratio is not the same for all pairs of consecutive terms, so the sequence is not geometric.

To determine if a sequence is geometric, we need to check if there is a common ratio between consecutive terms.

In a geometric sequence, each term is obtained by multiplying the previous term by a constant value called the common ratio.

Let's check the given sequence: -1, 1, 4, 8.

To find out if it is geometric, we need to check if the ratio of consecutive terms is constant:

Common Ratio (r) = (Second Term) / (First Term)

= 1 / (-1)

= -1

Now, let's check if the common ratio is the same for the other pairs:

1st and 2nd terms: 1 / (-1) = -1

2nd and 3rd terms: 4 / 1 = 4

3rd and 4th terms: 8 / 4 = 2

The common ratio is not the same for all pairs of consecutive terms. Since the common ratio is not constant, the given sequence (-1, 1, 4, 8) is not a geometric sequence.

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