Solve the equation: 12x+18=16x

Answer:

Of the homeowners, half have either a dog or a cat.

Step-by-step explanation:

Since 2/3 of all homeowners have a pet, and 3/4 of those have dogs or cats, we simply need to multiply 2/3 and 3/4 to see what fraction of all homeowners have a dog or a cat.

2/3 x 3/4 = 6/12

6/12 = 1/2

We can double check this. If there are 60 homeowners, and 2/3 have a pet, that would mean that 40 of those homeowners have a pet.

If 3/4 of the 40 homeowners have either a dog or a cat, that would equate to 30 homeowners having either a dog or a cat.

Since 30 is half of 60, this would mean that 1/2 of the 60 homeowners have a dog or cat!

Hope this answer helped you!

For every 50 y, there is 1 hour

Answer: The answer to that would be 3.

Step-by-step explanation: So 5 / 1  2/3 = 3

Sorry my handwriting is so sloppy! Hope it helps!

Answer:

f ≤ - [tex]\frac{19}{3}[/tex]

Step-by-step explanation:

8 - (- 4f - 3 ) ≤ - f - 8 + 2f ← distribute parenthesis on left side by - 1

8 + 4f + 3 ≤ f - 8

4f + 11 ≤ f - 8 ( subtract f from both sides )

3f + 11 = - 8 ( subtract 11 from both sides )

3f ≤ - 19 ( divide both sides by 3 )

f ≤ - [tex]\frac{19}{3}[/tex]

Answer:

The y intercept

Step-by-step explanation:

The average difference or mean in game scores across six games is 5.67

The mean is the average of a data set. The mode is the most common number in a data set. The median is the middle of the set of numbers. The mean is the average or the most common value in a collection of numbers. the mean is one of the measures of b, apart from the mode and median. Mean is nothing but the average of the given set of a data.

To solve this problem, we have to write the wins and loss separate and then find the mean.

Wins = 8 points, 7 points, 20 points, 9 points

Loss = 8 points, 2 points

The sum of win points = 8 + 7 + 20 + 9 = 44 points

The sum of lost points = 8 + 2 = 10 points

The mean difference = (win - loss)/ total number of games

The mean difference = ( 44 - 10) / 6

The mean difference = 34 / 6 =5.67

The mean difference in the game scores over six games is 5.67 points

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Step-by-step explanation:

if there is nothing missing, we have

x + 25/-8 = -6

in order to compare or add or subtract fractions, we need to bring them all to the same denominator (bottom part).

remember, integer numbers are fractions too. like here

-6 = -6/1

25/-8 = -25/8

so, how can we bring -6/1 to .../8 ?

by multiplying 1 by 8.

but we cannot multiply only the denominator by 8. otherwise we would suddenly have

-6/8

and is -6/8 = -6/1 ? no, certainly not.

to keep the original value of the fraction we have to do the same multiplication also with the numerator (top part).

so, we actually do

-6/1 × 8/8 = -48/8

with this little trick we have now .../8 to operate with, and our transformed fraction has still the same value

-6/1 = -48/8 indeed.

so, we have

x + -25/8 = -48/8

x - 25/8 = -48/8

x = -48/8 + 25/8 = -23/8

The average rate of change between year 1 and year 10 is given as follows:

4.3 thousand cars a year.

The average rate of change of a function is obtained by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given as follows:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

In this problem, the function is presented as follows:

C(x) = 0.15x³ - 3.28x² + 23.75x - 2.1.

The interval is:

[1,10], hence a = 1, b = 10.

At x = 1, the numeric value is found replacing each instance of x by 1, hence:

C(1) = 0.15(1)³ - 3.28(1)² + 23.75(1) - 2.1 = 18.52 thousand cars.

At x = 10, the numeric value is found replacing each instance of x by 10, hence:

C(10) = 0.15(10)³ - 3.28(10)² + 23.75(10) - 2.1 = 57.4 thousand cars.

Then the average rate of change is obtained as follows:

r = (57.4 - 18.52)/(10 - 1) = 4.3 thousand cars a year.

The problem is given by the image shown at the end of the answer.

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Step-by-step explanation:

area of circle = πr²

internal radii - 3 cm = r1

external radii - 10 cm = r2

internal + external radii = πr1² + πr2²

= 22/7×3² + 22/7×10²

= 28.28 + 314.28

= 342.56 cm²

Answer:

     [tex]y=2x-5[/tex]

Step-by-step explanation:

We want to find a linear function [tex]f(x)[/tex] with the values

[tex]f(0)=-5\\f(1)=-3[/tex]

These mean that when x is 0, y is -5, and when x is 1, y is -3.

This means that we want to find the equation of a line that goes through the ordered pairs below:

[tex](0,-5)\\(1,-3)\\[/tex]

Let's find the slope between the two ordered pairs. The slope is the rise over the run. The rise is the change in y-values.

[tex]-3--5=-3+5=2[/tex]

The change in y-values is 2.

The run is the change in x values.

[tex]1-0=1[/tex]

The change in x-values is 1.

The slope is the rise divided by the run, so:

[tex]slope=\frac{2}{1}=2[/tex]

Now that we know the slope, let's find the y-intercept! This is when x equals 0. Luckily, that number is already given! We know that when x equals 0, y equals -5!

[tex]intercept=-5[/tex]

Now that we have the slope and intercept, we can plug these numbers into slope-intercept form!

[tex]y=2x-5[/tex]

Answer:

2/5 is greater than 3/8, so 25 2/5 is greater

Step-by-step explanation:

Find the least common denominator or LCM of the two denominators:

LCM of 5 and 8 is 40

Next, find the equivalent fraction of both fractional numbers with denominator 40

For the 1st fraction, since 5 × 8 = 40,

2/5

=

2 × 8

5 × 8

=

16/40

Likewise, for the 2nd fraction, since 8 × 5 = 40,

3/8

=

3 × 5

8 × 5

=

15/40

Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction

16/40 > 15/ 40 or 2/5 > 3/8

Answer:

The length is 12

The area is 72[tex]cm^{2}[/tex]

Step-by-step explanation:

3x + 7 = 5x -17  Subtract 3x from both sides

7 = 2x -17  Add 17 to both sdies

24 = 2x  Divide both sides by 2

12 = x

Area = length times witdth

Area = 6(12) = 72

Answer:

Step-by-step explanation:

part a):

6(3x+7)=6(5x-17)

part b):

18x+42=30x-102

42+102=30x-12x

144=12x

x=144/12

x=12

area = l x b

area = 6x{5(12)-17}

=6x(60-17)

=6x43

area=258cm2

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Answer:

900

Step-by-step explanation:

300/12=25

75*12=900

A matrix is a set of numbers arranges in rows and columns such that it form a rectangular array.

The value of [tex]x_{11}[/tex] is 8

The value of [tex]x_{21}[/tex] is -1

A matrix is a set of numbers arranges in rows and columns such that it form a rectangular array.

We have,

[tex]\left[\begin{array}{ccc}3&-8\\1&1\\\end{array}\right] X=\left[\begin{array}{ccc}32\\7\\\end{array}\right][/tex]    _____(1)

Now,

[tex]X = \left[\begin{array}{ccc}x_{11}\\x_{21}\\\end{array}\right][/tex]  ________(2)

Multiplication of matrix.

From (1) and (2) we get,

[tex]3x_{11} - 8x_{21}[/tex] = 32 ____(a)

[tex]x_{11} + x_{21}[/tex] = 7 ______(b)

From (b) we get,

[tex]x_{11}[/tex] = 7 - [tex]x_{21}[/tex] ______(3)

Substitute (3) in (a)

Now,

3 (7 - [tex]x_{21}[/tex]) - 8[tex]x_{21}[/tex] = 32

21 - 3[tex]x_{21}[/tex] - 8[tex]x{21}[/tex] = 32

-11[tex]x_{21}[/tex] = 32 - 21

[tex]x_{21}[/tex] = -1

Now,

[tex]x_{11}[/tex] = 7 - (-1) = 7 + 1 = 8

Thus,

The value of [tex]x_{11}[/tex] is 8

The value of [tex]x_{21}[/tex] is -1

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The fraction that illustrates the decrease in sales is 15.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In this case, August 1/3 and this was 2/5 more than what was sold earlier. Therefore the decrease will be:

= 2/5 - 1/3

= 6/15 - 5/15

= 1/5

The fraction is 1/15.

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Answer:

[tex]x=\frac{5}{7} -\frac{y}{7}[/tex]

Step-by-step explanation:

You move all terms that dont contain x
to the right side and solve.

Hope this helps! :))

Answer:

Step-by-step explanation:Your calculations indicate that you will need 20.8 cubic yards of concrete for a slab floor. Which of the following quantities would be the best amount to order accounting for waste

Answer:

x = 40

Step-by-step explanation:

for m and n to be parallel then

2x and 80 are alternate angles and congruent , so

2x = 80 ( divide both sides by 2 )

x = 40

Answer:

cost per pound for Jelly Beans is 5$

cost per pound for Gummy Worms is 8$

Answer:

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

Step-by-step explanation:

Isolate y to find the value of y

2y-2/3x=-6

 +2/3x. +2/3x

2y=2/3x-6

/2.  /2.  /2

y=4/3x-3

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Check the picture below.

Answer:

1/-7

Explanation:

rise/run so up 1 down 7

Answer:

-23

Step-by-step explanation:

h(x) = -2x - 5

Let x = 9

h(9) = -2*9 - 5

h(9) = -18 - 5

        = -23

Answer:

h(9) = -23

Step-by-step explanation:

Given explanation,

→ h(x) = -2x - 5

Then the value when h(x) = 9 is,

→ h(x) = -2x - 5

→ h(9) = -2(9) - 5

→ h(9) = -18 - 5

→ h(9) = -23

Hence, the value of h(9) is -23.

Answer:

.06

Step-by-step explanation:

6 hundredths

We want to write this as a decimal.

Writing decimals

This means write 6/100

There are two zeros so we need two numbers.

06/100

Then there are two numbers before the decimal.

We can write 06 before the decimal.

.06

6 hundredths can be written as 0.06 as a decimal.

What is fraction?

All fractions consist of a numerator and a denominator, separated by horizontal bars called fraction bars.

The denominator indicates the number of parts into which the whole is divided. Placed at the bottom of the break below the break bar. The

counter indicates how many sections of the fraction are displayed or selected. Placed at the top of the break above the break bar.

A common fraction is a numeral which represents a rational number. That same number can also be represented as a decimal, a percent, or with a negative exponent.

6 hundredths means that when you divide "something" into a hundred equal parts, 6 hundredths are six of the newly divided parts.

When you divide 6 by hundreds, you get 6 hundredths as a decimal, which is 0.06.

Therefore, 6 hundredths can be written as 0.06 as a decimal.

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Answer:

88.8 km/h

Step-by-step explanation:

Answer:

[tex]28t^4u^5v^9[/tex]

Step-by-step explanation:

I will answer this a few different ways depending on whether there are supposed to be exponents in the question.

As written

As written, the product is:

[tex](7tuv7)(4t3u4v2)[/tex]

All of the coefficients can be multiplied together. This is what that looks like:

[tex]4704tuvtuv[/tex]

Now, each variable multiplied by itself gets the exponent of 2.

[tex]4707t^2u^2v^2[/tex]

Assuming exponents and coefficients

Assuming exponents, the product is:

[tex](7tuv^7)(4t^3u^4v^2)[/tex]

Again, the coefficients can be multiplied, and the like variables written next to each other:

[tex]28tt^3uu^4v^7v^2[/tex]

When multiplying like terms with exponents, add the exponents. Variables without an exponent have an exponent of 1.

[tex]28t^4u^5v^9[/tex]

If the overhead was 20% of the cost of each towel. The selling price of each towel is 5.88.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

Suppose the selling price of a towel is x, according to the given condition,

5 = x - 15% of x

5=x-0.15x

5=0.85 x

x=5/0.85

x=5.88

Thus, if the overhead was 20% of the cost of each towel. The selling price of each towel is 5.88.

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An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The value of f(g(x)) is 6x³ + 4.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

3x + 4 = 5 is an equation.

2x + 4x = 4 is an equation.

We have,

The function f(x) represents the amount of money Barrett earns per gallon of ice cream, where x is the number of gallons of ice cream he makes.

The function g(x) represents the number of gallons of ice cream Barrett makes per hour, where x is the number of hours he works.

f(x) = 2x² + 4

g(x) = √(3x³)

Now,

f(g(x)):

= f(√(3x³))

= 2{√(3x³)}² + 4

= 2(3x³) + 4

= 6x³ + 4

Thus,

The value of f(g(x)) is 6x³ + 4.

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If the promissory note stated that there was a balloon payment at the end. The sum of all but the last monthly payment is: $56,525, $57,000.

Total payment = $475 × [(10 years × 12 months) -1]

Total payment = $475 × 119 payment

Total payment = $56,525

Total payment = $475 × [(10 years × 12 months) ]

Total payment = $475 × 120 payment

Total payment = $57,000

Therefore the monthly payment is; $56,525, $57,000.

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