Find an Equation of a line with the given slope that passes through the point. Write the equation in the form Ax + By=C
M=3/2, (7,-2) -problem
Bridge math sails
Module 4B2

Here are the correct matches to the expressions to their solutions.

The GCF of 28 and 60 is 4.

(-3/8)+(-5/8) = -4/4 = -1.

-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.

The solution of 0.5 x = -1 is x = -2.

The solution of 1/2 m = 0 is m = 0.

-4 + 5/3 = -11/3.

-2 1/3 - 4 2/3 = -10/3.

4 is not a solution of -4 < x.

1. The GCF of 28 and 60 is 4.

The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:

28 = 2 x 2 x 7

60 = 2 x 2 x 3 x 5

The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.

2. (-3/8)+(-5/8) = -1.

To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.

3. -1/6 DIVIDED BY 1/2 = -1/3.

To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.

4. The solution of 0.5 x = -1 is x = -2.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.

5. The solution of 1 m = 0 is m = 0.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.

6. -4 + 5/3 = -11/3.

To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.

7. -2 1/3 - 4 2/3 = -10/3.

To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.

8. 4 is not a solution of -4 < x.

The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.

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Answer:

(3xy - 1)/3x = b

Step-by-step explanation:

make b the subject of formula

then simply it

did you get it

Answer:

b=Y-x/3

Step-by-step explanation:

Solve for b by simplifying both sides of the equation, then isolating the variable.

have a great day and thx for your inquiry :)

Answer:

(- 3, 1.5)

--------------------------

Given system:

The first expression is ready to be substituted as no further operation is required to simplify it.

Find x:

Step-by-step explanation:

The number of hours, n, that Gary works at is at least 9/2 per week.

The inequality to reflect this is:

Answer:

Explanation:

The word "at-least" defines that the minimum work Gary will do. The statement tells us that Gary will work no less than 9/2 hours. We can tell that the in-equality is n ≥ 9/2, where n is the number of hours.

Hoped this helped.

\(BrainiacUser1357\)

The whole given data sets can have their median calculated after being arranged either in an ascending or descending order. That is option A,B,C,D and E.

The median of a data set is defined as the data that is found at the center, otherwise known as the measure of center of a data set, after being arranged in ascending or descending order.

For example the median of option A) is calculated as follows:

Data set= 23,62,68,73,75,77

Median = 68+73/2 = 70.5

Therefore the median is between 68 and 73 which is = 70.5

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Answer:

followed

Step-by-step explanation:

now gimmie

Answer:

f(-5)=7

Step-by-step explanation:

Because y=f(x) so f(-5) means x=-5.

Now you look at the graph, we can see at x=-5 , y=7. So f(-5)=7

Answer:

7

Step-by-step explanation:

Go to - 5 along the x axis.

When you hit the blue, go straight across until you hit the number on the y axis.

That number is 7

Answer:

-14

Step-by-step explanation:

\(18-?=32 \\ \\ -?=14 \\ \\ ?=-14\)

Answer:

Hugo has 10 songs in his music player. He will add 15 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at most 135 songs?

Step-by-step explanation:

took test 100%

Answer:

Step-by-step explanation:

If 11 flights were sampled with an 85% on-time arrival rate, the number of flights from the sample that arrived on time would be estimated to be 9.35, which would round to 9 flights.

This can be solved by:

(0.85x11)= 9.35

Since there can't be .35 of a flight, we would round to the nearest whole number, which would just be 9.

The final answer= 9 flights

Answer:

1/7

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 6-5)/(9-2)

   = 1/7

Answer:

18

Step-by-step explanation:

When dilating a segment by a scale factor, we multiply the original length by the scale factor to find the length.

2*9 = 18

Answer:

20

Step-by-step explanation:

Simplify both sides of the equation.

−4= r 20 −5 −4= 1 /20 r+−5 −4= 1 /20 r−5

Flip the equation.

1 /20 r−5=−4

Add 5 to both sides.

1 /20 r−5+5=−4+5

1 /20 r=1

Multiply both sides by 20.

20*( 1 /20 r)=(20)*(1)

r=20

Answer:

The sample standard deviation is 13.22°F

Step-by-step explanation:

Given - Often, frequency distributions are reported using unequal

            class widths because the frequencies of some groups would

            otherwise be small or very large. Consider the following​ data,

            which represent the daytime household temperature the

            thermostat is set to when someone is home for a random sample

            of households. Determine the class​ midpoint, if​ necessary, for

             each class and approximate the mean and standard deviation

             temperature.

Temp                    Frequency                        Class Midpoint

61-64                         34                                         63

65-67                         68                                         66.5

68-69                         196                                        69

70                              191                                         70.5

71-72                         122                                         72

73-76                          81                                           75

77-80                          52                                           79

To find - The sample standard deviation is _____degrees°F.

Proof -

Temp         Frequency(f)            Midpoint(m)           m×f        ( m - 70.73 )²×f

61-64                34                            63                   2142          2031.6

65-67                68                            66.5                4522           1216.7

68-69               196                            69                  13524          586.6

70                     191                           70.5               13465.5        10.1

71-72                122                           72                   8784             196.8

73-76                  81                            75                   6075             2224.4

77-80                  52                            79                    4108            3556.4

                   ∑f = 744                                    ∑m×f = 52620.5     ∑ = 9822.6

So, Mean = \(\frac{52620.5}{744}\) = 70.73

Sample standard deviation = \(\frac{9822.6}{744 - 1} = \frac{9822.6}{743}\) = 13.22

∴ we get

The sample standard deviation is 13.22°F

The method is: Find the increase and find the ratio of the increase and the old price.

The percentage increase is 20%

A percentage is defined as the ratio that can be expressed as a fraction of 100.

The method below shows how you would calculate the % increase.

First step: Find the increase:

increase = 480 - 400 = $80

Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:

80/400 * 100 = 20%

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The interquartile range of the data will be 0.215.

The lower half is:

7.86, 7.87, 7.99, 8.03

The median of the lower half is:

(Q1) = (7.87 + 7.99) / 2 = 7.93

The upper half is:

8.06, 8.08, 8.09, 8.20, 8.43

The median of the upper half is:

(Q3) = (8.09 + 8.20) / 2 = 8.145

The IQR is the difference between the third and first quartiles:

IQR = Q3 - Q1 = 8.145 - 7.93 = 0.215

Lower outlier threshold: Q1 - 1.5 x IQR = 7.93 - 1.5 x 0.215 = 7.5955

Upper outlier threshold: Q3 + 1.5 x IQR = 8.145 + 1.5 x 0.215 = 8.4795

None of the data points fall outside these thresholds, so there are no outliers in this data set.

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Answer:

C. Between 4 and 5.......

Answer:

i think its 1.5 to 5.5 then

Step-by-step explanation:

im just guessing here so sorry if i get it worng

The output value of (g/f)(x) is 9x/(7x + 28).

The domain of g/f is (-∞, -4) U (-4, ∞)..

In this exercise, we would determine the corresponding composite function of f(x) and g(x) under the given mathematical operations in simplified form as follows;

(g/f)(x) = (9/(x + 4)) ÷ 7/x

By rearranging the mathematical expression using the multiplication operation, we have the following:

(g/f)(x) = (9/(x + 4)) × x/7

(g/f)(x) = 9x/(7x + 28)

For the restrictions on the domain, we would have to equate the denominator of the rational function to zero and then evaluate as follows;

7x + 28 ≠ 0

7x ≠ -28

x ≠ -4

Domain = (-∞, -4) U (-4, ∞).

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Diagram A and Diagram B do not form a triangular prism

ANSWER:

They have $1,100 altogether.

EXPLANATION:

- Originally, Mike had $500, while Joel had $600. That adds up to $1,100, and it makes Joel have $100 more than Mike.

- Half of Joel’s $600 is $300, which he gave to Mike. That makes Joel now have $300 himself.

- Adding $300 to Mike’s $500 is $800, which means Mike now has $800.

- $800 (Mike’s new amount) minus $300 (Joel’s new amount) is $500, which works because Mike now has $500 more than Joel.

-$300 + $800 is, of course, still $1,100.

Answer: 72.36

Step-by-step explanation:

To find the total amount of salt in the bowl after Omar poured 13.2 grams, we need to add the initial amount of salt in the bowl to the amount of salt Omar added.

The initial amount of salt in the bowl was 59.16 grams.

Omar added 13.2 grams of salt to the bowl.

To find the total amount of salt in the bowl now, we add these two amounts: 59.16 + 13.2 = 72.36

Therefore, the bowl contains 72.36 grams of salt now.

The inequality that represents the number of each type of calculator she can buy will be 25x + 65y ≤ 800

Given that teacher needs to purchase some scientific calculators for $25 each and some graphing calculators for $65 each.

Consider that x equal the number of scientific calculators and y equal the number of graphing calculators she buys She can only spend up to $800 for the calculators.

The inequality that represents the situation becomes as;

25x + 65y ≤ 800

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for the first question, you get 576

for the second one you get 0.1875

Step-by-step explanation:

11b + 5 = 38

11b = 33

b = 3 is the answer

Answer:

If Mrs. Chua wants to buy 25 cupcakes, she can take advantage of the "buy 2 and get 1 free" offer.

This means that for every 3 cupcakes, she only pays the price of 2 cupcakes.

So, the total number of cupcake sets that she needs to buy is 25 divided by 3, which gives 8 with a remainder of 1.

Therefore, she needs to pay for 8 sets of cupcakes, and she will get 2 cupcakes for free since she gets 1 free cupcake for every 2 cupcakes.

So the total number of cupcakes she paid for is 8 x 2 + 2 = 18.

The cost of one cupcake is $m, so the total cost of 18 cupcakes is 18 x $m = $18m.

Therefore, Mrs. Chua paid $18m for 25 cupcakes.

If Mrs Chua wants to buy 25 cupcakes, we can take advantage of the "Buy 2 and Get 1 Free" promotion and divide the cupcakes into groups of 3. For every 3 cupcakes that she buys, she only pays for 2, which means she gets 1 cupcake for free. This means that for every group of 3 cupcakes, she only pays for 2 cupcakes, or $\frac{2}{3}$ of the total price.

Let's first find out how many groups of 3 cupcakes she needs to buy in order to get 25 cupcakes. We can divide 25 by 3 to get:

\(\begin{align}\frac{25}{3} &= 8 \frac{1}{3}

\end{align}\)

This means that she needs to buy 8 groups of 3 cupcakes and 1 extra cupcake.

To minimize the amount of money that Mrs Chua spends, we want to take advantage of the "Buy 2 and Get 1 Free" promotion as much as possible. So we want to make sure that we only pay full price for the last cupcake.

Therefore, Mrs Chua should buy 8 groups of 3 cupcakes (i.e., 24 cupcakes) and then pay full price for the last cupcake. This means that she pays for 16 cupcakes, but gets 8 cupcakes for free (because of the "Buy 2 and Get 1 Free" promotion).

So the total cost for the 25 cupcakes is:

\(\begin{align}\text{Total cost} &= \text{Cost of 16 cupcakes} + \text{Cost of 1 cupcake}\ &= \left(\frac{2}{3} \times 16\right)m + 1m\ &= \frac{32}{3}m + 1m\ &= \frac{35}{3}m\end{align}\)

Therefore, Mrs Chua pays $\frac{35}{3}m$ to buy 25 cupcakes using the "Buy 2 and Get 1 Free" promotion.

The swimming pool can hold a volume of 3.456 cubic meters of water.

The volume of water that the swimming pool can hold can be calculated by multiplying the base area of the pool by its depth. In this case, the base area is given as 192 m² and the depth is 1.8 cm.

However, it is important to note that the depth should be converted to meters before performing the calculation.

To convert 1.8 cm to meters, we divide it by 100 (since there are 100 centimeters in a meter):

Depth = 1.8 cm ÷ 100 = 0.018 m

Now we can calculate the volume of water using the formula:

Volume = Base Area × Depth

Substituting the given values, we get:

Volume = 192 m² × 0.018 m = 3.456 m³

Therefore, the swimming pool can hold a volume of 3.456 cubic meters of water.

In the explanation, we use the formula for calculating the volume of a rectangular prism, which is given by multiplying the base area by the depth. We convert the depth from centimeters to meters and then substitute the given values into the formula to find the volume of water that the swimming pool can hold, which is 3.456 cubic meters.

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Answer:

$98.70

Step-by-step explanation:

Number of gallons = Area of room / Coverage per gallon

Number of gallons = 980 ft^2 / 350 ft^2/gallon

Number of gallons = 2.8 gallons

Therefore, we need 2.8 gallons of paint to cover the room. The cost of one gallon of paint is given as $35.25, so the total cost of the paint needed to paint the room is:

Total cost = Number of gallons × Cost per gallon

Total cost = 2.8 gallons × $35.25/gallon

Total cost = $98.70

So, the total cost of the paint needed to paint the room is $98.70.