What is the value of x?

x − 1/6 = 8

Enter your answer in the box in simplest form.

Answer:

yes

Step-by-step explanation:

In an isosceles triangle, one perpendicular bisector is also an angle bisector.

Answer:

6950

Step-by-step explanation: multiply 278 times 25

Answer:

[tex]\large\boxed{5.764764764...=\dfrac{5,759}{999}}[/tex]

Step-by-step explanation:

[tex]\text{Let}\\\\x=5.764764764...\qquad\text{multiply both sides by 1,000}\\\\1,000x=5,764.764764764...\qquad\text{make the difference}\ 1,000x-x:\\\\1,000x-x=5,764.764764764...-5.764764764...\qquad\text{cancel}\ (\overline{764})\\\\999x=5,759\qquad\text{divide both sides by 999}\\\\x=\dfrac{5,759}{999}[/tex]

Answer:

there are 8 candles

Step-by-step explanation:

(i) In order to obtain an equal amount of candle to candle holders Caroline has to buy enough packs to obtain a 1:1 ratio.  

Therefore to obtain a 1:1 ratio:

=30 candles/18 candle holders * (18/30)

Therefore she needs to buy 18 packs of candles and 30 packs of candle holders to have exactly the same number of candles and holders

(ii) Caroline can make = 30*18 = 540 table decorations  

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To find the cost of 4 5/7 kg of candy, we divide the cost of 5/6 kg by 5/6 to find the cost of 1 kg. Then, we multiply the cost of 1 kg by 4 5/7 to find the total cost.

To find the cost of 4 5/7 kg of candy, we need to find the cost of 1 kg of candy and then multiply it by 4 5/7. Given that 5/6 kg of candy costs $7.50, we can find the cost of 1 kg by dividing $7.50 by 5/6. So, the cost of 1 kg of candy is $9.00. To find the cost of 4 5/7 kg, we multiply $9.00 by 4 5/7.

To multiply a whole number and a fraction, we first convert the whole number to a fraction by placing it over 1. So, 4 can be written as 4/1. Then, we multiply the numerators (4 x 7 + 5) and the denominators (1 x 7). This gives us 33/7. Finally, we multiply $9.00 by 33/7 to find the cost of 4 5/7 kg of candy.

The cost of 4 5/7 kg of candy is $38.57.

Answer:

dang that one was hard wish I could help

Step-by-step explanation:

Answer:

7.7142

Step-by-step explanation:

The solution to the number division 54 divided by 7 is: 7⁵/₇

Division is defined as a mathematical operation, that is written using the symbol ÷ , and the it can  be thought of in two ways: x÷y is the size of each group when x objects are divided into y groups of equal size, OR x÷y is the number of groups when a objects are divided into groups of b objects each.

We are given the expression 54 divided by 7

Thus, the number of times 54 can divide 9 in whole numbers in 7 times with a remainder of 5. Thus:

Solution = 7⁵/₇

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Answer:

The car traveled 740.52 miles

Step-by-step explanation:

The only thing you need to do in this problem is to multiply the hours by the rate (mph).

3.6 × 205.7 = 740.52

Answer:it is option D

Step-by-step explanation:

Final answer:

Casey spent $12 on chips that cost $2 per bag, so she bought 6 bags of chips.

Explanation:

Casey bought 5 sandwiches at $6 each, totaling $30 spent on sandwiches. Since she spent $42 in total, we subtract the amount spent on sandwiches from the total amount to find out how much she spent on bags of chips: $42 - $30 = $12 spent on chips. Each sandwich cost three times as much as a bag of chips, so one bag of chips costs $6 / 3 = $2. To find out the number of bags of chips b she bought, we divide the total spent on chips by the cost of one bag: $12 / $2 = 6 bags of chips.

(-4+6i )- 3-(2i)

-4 - 3 + 6i - 2i

-7 + 4i

Done.

Answer:

3/7

Step-by-step explanation:

The ratio is the number of red marbles and the number of blue marbles in a fraction, so the ratio would be 3/7

Answer:

Step-by-step explanation:

20 + .15x = 35 + .10x

.05x = 15

x = 300 minutes

Answer:

A) 234 feet

B) Area of new parking lot = 28080 square feet

C) The new parking lot will be able to fit 20 more cars than the original parking lot.

Step-by-step explanation:

We are given the following information:

Length of parking lot = 180 feet

Width of parking lot = 120 feet

Number of cars that can be parked = 75

A) Increase in length  = 30%

New length =

[tex]\text{original length} + 30\%(\text{original length})[/tex]

[tex]= 180 + \bigg(\displaystyle\frac{30}{100}\times 180\bigg) = 180 + 54 = 234~feet[/tex]

B) New area =

[tex]\text{New length}\times Breadth\\= 234\times 120 \\= 28080~ square~feet[/tex]

C) Space required by 1 car = 288 square feet

Number of cars we want to fit = 75 + 20 = 95

Area required =

[tex]\text{Number of cars}\times \text{Space occupied by 1 car}[/tex]

[tex]= 95\times 288 = 27360~square~feet[/tex]

Hence, the new parking lot will be able to fit 20 more cars than the original parking lot.

A. This results in a new length of 234 feet.

B. The difference in area is 6480 square feet.

C. The new parking lot's area can only accommodate a fraction of a car more than the original lot's capacity of 75 cars, so it cannot fit 20 more cars.

A. The new length of the parking lot after a 30% increase is calculated by adding 30% of the original length (180 feet) to it.

= 180 * 1.3

= 234 feet

This results in a new length of 234 feet.

B. To find the greater area of the new parking lot compared to the original:

Original area: 120 feet (width) * 180 feet (original length) = 21600 square feet.

New area: 120 feet (width) * 234 feet (new length) = 28080 square feet.

The difference in area: 28080 square feet - 21600 square feet = 6480 square feet.

C. To check if the new parking lot can fit 20 more cars:

New area of the parking lot: 120 feet (width) * 234 feet (new length) = 28080 square feet.

Maximum number of cars in new area: 28080 square feet / 288 square feet per car ≈ 97.5 cars.

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The answer would be 65.7!

Answer:

Theres not enouh information to come to a conclusion

Step-by-step explanation:

Answer:

It's a rhombus (I think)

Step-by-step explanation:

It tells you "If a parallelogram has 4 congruent sides, then it is a rhombus."

It's also telling you that "the parallelogram has 4 congruents sides."

That's telling me it is a rhombus.

(I have absolutely no idea what the Law of Detatchment is, but it looks like this is the answer to me.)

Answer:  -4(7g - 6h)(7g + 6h)

Step-by-step explanation:

Separate the 4 terms into two groups of 2 terms. Then factor out the GCF of each group. You should end up with a common factor in each group - that is one of the factors.  The other factor is what you factored out from each term.

  49g² - 36h²              - 28g - 24h

(7g - 6h)(7g + 6h)          -4(7g + 6h)

They both have a common factor of (7g + 6h)

The terms factored out are (7g - 6h) and -4

So, the factorization is: -4(7g - 6h)(7g + 6h)

Answer:3 5/12

Step-by-step explanation:

So we have here 1/2, 2/3 and 2 1/4. So let's ignore the 2 from 2 1/4. so we add them all up (1/2 + 2/3 + 1/4) but before we add them up we have to find the common denominator. So the common denominator for 2, 3 and 4 is 12. so the question will be 6/12 + 8/12 + 3/12. Add this up and it will be 17/12 = 1 5/12. Now let's get that 2 back here and add 2 to 1 5/12 (2 + 1 5/12) = 3 5/12

Answer:

2229.08

Step-by-step explanation:

Step 1: Calculate miles travelled in one year

Miles travelled per day = 45 miles

Miles travelled in one year = 45 x 365 = 16,425 miles

Cost of gasoline per gallon = 3.8 for every 28 miles

Step 2: Divide total miles in one year by per gallon miles

16,425 ÷ 28

= 586.6 miles

Step 3: Multiply the answer by cost of gasoline

586.6 x 3.8

= 2229.08

Therefore, Aaron will spend 2229.08 on gasoline in one year.

Answer:

Aaron spend Rs.1642.4996 on gasoline in one year​

Step-by-step explanation:

Aaron drive in 1 day = 45 miles

1 year = 365 days

So, Aaron drives in 365 days = [tex]45 \times 365[/tex]

                                                = [tex]16425 miles [/tex]

We are given that his car averages 28 miles per gallons .

His car travels 28 miles in gallons = 1

His car travels 1 miles in gallons =[tex]\frac{1}{28}[/tex]

His car travels 16425 miles in gallons =[tex]\frac{1}{28} \times 16425[/tex]

                                                             =[tex]586.607[/tex]

Cost of 1 gallon = 2.80

Cost of 586.607 gallons = [tex]2.80 \times 586.607=1642.4996[/tex]

Hence Aaron spend Rs.1642.4996 on gasoline in one year​

Answer:

she use altogether flour is [tex]1 \frac{3}{20}[/tex] lb

Step-by-step explanation:

given data

flour to bake a vanilla cake = [tex]\frac{2}{5}[/tex] lb

flour to bake a chocolate cake =  [tex]\frac{3}{4}[/tex] lb

to find out

How much flour did she use altogether

solution

we know here flour use to make cake

so total flour is used = add both flour for vanilla and chocolate cake

total flour is used =  [tex]\frac{2}{5}[/tex] +  [tex]\frac{3}{4}[/tex]

total flour is used =  [tex]\frac{23}{20}[/tex]

she use altogether flour is [tex]1 \frac{3}{20}[/tex] lb

Answer: [tex]\frac{23}{20}\ lb[/tex] or [tex]1\frac{3}{20}\ lb[/tex]

Step-by-step explanation:

For this exercise you need to add fractions.

To bake the vanilla cake, Penny used [tex]\frac{2}{5}\ lb[/tex] of flour and to bake the chocolate cake she used [tex]\frac{3}{4}\ lb[/tex] of flour.

Then, the total flour she used can be found by solving this addition:

[tex]\frac{2}{5}\ lb+\frac{3}{4}\ lb[/tex]

Since the denominators are different, you must find the Least Common Denominator (LCD).

Descompose the denominators into their prime factors and multipy the commons and non-commons with the highest exponent.

Then:

[tex]5=5\\\\4=2*2=2^2[/tex]

[tex]LCD=5*2^2=20[/tex]

So, the sum is:

[tex]\frac{2}{5}+\frac{3}{4}=\frac{4(2)+5(3)}{20}=\frac{23}{20}[/tex]

That improper fraction can be written as a mixed number.

When you divide the numerator 23 by the denominator 20 you get;

Then:

[tex]\frac{23}{20}\ lb=1\frac{3}{20}\ lb[/tex]

Final answer:

A discount represents the decrease in the item's price during a sale, leading to consumer savings. When a shopper gets a "good deal," they experience the substitution and income effect, which typically results in an increased quantity demanded of the product.

Explanation:

When buying an object on sale, the discount is the decrease in the price of the item. Economists may refer to the situation of getting a "good deal" on a product when the consumer is able to purchase something at a price lower than what it normally sells for, leading to consumer saving. This occurs due to the substitution effect and the income effect. The substitution effect indicates that when a product is cheaper relative to other products, consumers are likely to purchase more of it. On the other hand, the income effect explains that the decrease in price allows the consumer to buy the same amount of goods while still having extra money to purchase even more goods. Due to both these effects, a decrease in price typically leads to an increase in quantity demanded, which might suggest that the demand for a product is elastic if the quantity demand decreases significantly more than the price increase.

So the variable w is less than 8 and greater than 0.

8>w>0

Answer:

22

Step-by-step explanation:

Since x = 2, we can tell that x is equal to 2.

So this is basically asking 7 times 2 plus 8

7(2) + 8 = ?

14 + 8 = 22

Hope this helps!

Answer:

39/50.

Step-by-step explanation:

0.78 = 78/100

= 39/50.

Answer:

39/50

Step-by-step explanation:

The original expression can be restated as follows:

0.78 = 0.70 + 0.08

Convert:

0.70 = 7/10

0.08 = 8/100

Add 7/10 + 8/100:

7/10 + 8/100

Find least common multiple, which is 100:

=(70+8)/100

=78/100

Now, simplify by dividing by 2 for both top and bottom:

39/50

Step-by-step explanation:

you can divide every number by 1

if a number is even you can always divide it by 2

if the number ends in an odd number that isn't 5, you will most likely be able to divide it by 1, 3, or 9

if a number can be divided by 3, it can most likely be divisible by 6 if its an even number

if it ends in 5, you will be able to divide it by 5

if the number is over 10 and ends in a 0 it will be divisible by 10 and/or 5

I hope this helps

Answer:

A. [tex]\dfrac{1}{25}=0.04[/tex] or 4%

B. [tex]\dfrac{16}{25}=0.64[/tex] or 64%

C. 8 times

Step-by-step explanation:

The county-fair prize wheel has equally spaced sections with the following colors: 1 is golden, 2 are silver, 3 are green, 4 are blue, 6 are red, and 9 are yellow, 25 sections in total.

A. The probability of landing on gold is

[tex]P_1=\dfrac{\text{Number of favorable outcomes}}{\text{Number of all possible outcomes}}=\dfrac{1}{25}=0.04[/tex]

or 4% as a percent.

B.  If the probability of landing on yellow is 36% (or 0.36 as decimal), then the probability of not landing on yellow is

[tex]P_2=1-0.36=0.64[/tex]

or 64% as a percent.

C. If the wheel is spun 1 time, the probabilty of landing on silver is

[tex]P_3=\dfrac{2}{25}=0.08[/tex]

or 8% as a percent.

If the wheel is spun 100 times, the expected number of landing on silver is

[tex]100\cdot 0.08=8[/tex]

Final answer:

Explaining the probability of landing on different colors on a prize wheel and the expected outcomes in 100 spins.

Explanation:

a) What is the probability of landing on gold?

There is 1 golden section out of a total of 25 sections on the prize wheel.

Probability of landing on gold: 1/25 or 4%

b) If the probability of landing on yellow is 36%, what is the probability of not landing on yellow?

If the probability of landing on yellow is 36%, then the probability of not landing on yellow is 64%.

c) If the wheel is spun 100 times, how many times would you expect to land on silver?

Since there are 2 silver sections on the wheel, the probability of landing on silver is 2/25. Therefore, expected number of times to land on silver in 100 spins is 100 x 2/25 = 8 times.

Answer:

x - 3y = 9

-3y = -x + 9

y = (1/3)x - 3

-1 = (1/3)(3) + b

-1 = 1 + b

b = -2

y = (1/3)x - 2

3y = x - 6

-x + 3y = -6

x - 3y = 6

To find an equation parallel to x - 3y = 9 that passes through the point (3, -1), rearrange the equation to slope-intercept form, determine the slope of the given line, and substitute the slope and coordinates into the point-slope form equation.

To find an equation parallel to x - 3y = 9 that passes through the point (3, -1), we need to determine the slope of the given line and then use it to form the equation of the parallel line.

First, we rearrange the given equation to find the slope-intercept form: y = (1/3)x - 3. We know that the slope of the parallel line will be the same as the slope of the given line, which is 1/3.

Using the point-slope form, we substitute the slope and the coordinates of the given point into the equation: y - (-1) = (1/3)(x - 3). Simplifying, we get the equation of the parallel line as y = (1/3)x + 2.

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