Are (1,1.5) and (12,4) solutions to the equation y=1/4x+5/4

Answers

Answer 1

Answer:

The first set is a solution, the second is not.

Step-by-step explanation:

Testing by filling in the numbers into the equation:

(1, 1.5): x=1, y=1.5

⇒ 1.5 =? [tex]\frac{1}{4}[/tex] · 1 + [tex]\frac{5}{4}[/tex]

⇒ 1.5 =? [tex]\frac{1}{4}[/tex] + [tex]\frac{5}{4}[/tex]

⇒ 1.5 =? [tex]\frac{6}{4}[/tex]

⇒ 1.5 =? 1.5  ⇒ Correct: is indeed solution to the equation

(12, 4): x=12, y=4

⇒ 4 =? [tex]\frac{1}{4}[/tex] · 12 + [tex]\frac{5}{4}[/tex]

⇒ 4 =? [tex]\frac{12}{4}[/tex]  + [tex]\frac{5}{4}[/tex]

⇒ 4 =? [tex]\frac{17}{4}[/tex] ⇒ Incorrect: this is not a solution for the equation


Related Questions

Ana is a teacher who plays a review game with her class. The game involves writing each student's name on
an identical slip of paper and selecting students at random. Here's the makeup of her class:
Grade
9th 10th 11th
Number of students
12. 9. 7.
Suppose that Ana picks a name, replaces it, and picks a name again.

What is the probability that NEITHER of the students selected are
9th graders?
Round your answer to two decimal places.

Answers

Answer:

P(Neither 9th grade)=16/28*16/28=16/28*16/28=(16/28)^2=256/784≈0.3265

Answer:

The probability that neither of the students selected are 9th  graders is about 0.33.

Step-by-step explanation:

Pls give brainliest

Probabilities are used to determine the chances of events

The probability that neither of the students is a 9th grader is 0.33

From the table, the number of students that are not 9th graders are:

[tex]N9 =9 + 7[/tex]

[tex]N9 =16[/tex]

The total number of students is:

[tex]Total =12 + 9 + 7[/tex]

[tex]Total =28[/tex]

The probability that neither of the students is a 9th grader is calculated as follows

[tex]P =P(N9) \times P(N9)[/tex]

So, we have:

[tex]P =\frac{16}{28} \times \frac{16}{28}[/tex]

Multiply

[tex]P =\frac{256}{784}[/tex]

Divide and approximate

[tex]P =0.33[/tex]

Hence, the probability that neither of the students is a 9th grader is 0.33

Read more about probabilities at:

https://brainly.com/question/7965468

[tex]\sf 78-2x=87-3x[/tex]

Answers

Answer:

x = 9

Step-by-step explanation:

78 - 2x = 87 - 3x

3x - 2x = 87 - 78

x = 9

ANSWER

x = 9

Step-by-step explanation:

=> 78-2x= 87 -3x

=> 78-87=-3x+2x

=> -9 = -x

=> x = 9

Mia is 7.04304 x 10 minutes old. Convert her age to more appropriate units using years, months, and
days. Assume a year has 365 days and a month has 30 days.
a
Mia is 13
years
months and
days old

Answers

Answer:13 years,1 month, and 29 days

Step-by-step explanation:

i need help with all of this please

Answers

your picture isn’t loading and maybe try to set up a new one?

A dairy made 97.01 ounces of yogurt. Then a local market bought 84 ounces of the yogurt. How much yogurt does the dairy have left?

Answers

13.01 ounces are left

Use the information in the table to solve Exercises 4-6.
Morgan's favorite spaghetti sauce is available in two sizes: pint
Each size and its price are shown in the table.
Size
Quantity (oz)
Price (5)
pint
16
3.98
quart
32
5.98

Answers

Answer:

Step-by-step explanation:

seventeen cus it is :)

Find the equation of the line that passes through (-3,1) and is parallel to y = 1 − 2 x . Leave your answer in the form y = m x + c

Answers

Answer:

y = - 3x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3x + y - 1 = 0 ( subtract 3x - 1 from both sides )

y = - 3x + 1 ← in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes, thus

y = - 3x + c ← is the partial equation

To find c substitute (1, 4) into the partial equation

4 = - 3 + c ⇒ c = 4 + 3 = 7

y = - 3x + 7 ← equation of line in form y = mx + c

The angle measures of a triangle are in the ratio 3: 4: 3. Find the angle
measures of the triangle.

Answers

Answer:

72

Step-by-step explanation:

3X+4X+3X=180

10X=180

X=180/10

X=18

3X=54 BOTH

4X=72

Write the equation of the line in fully simplified slope-intercept form

Answers

Answer:

y=3x-1

Step-by-step explanation:

Use slope intercept form (y=mx+b) to plug in the values for m and b

Question 5(Multiple Choice Worth 1 points)
(04.02 MC)

City A and City B had two different temperatures on a particular day. On that day, four times the temperature of City A was 8° C more than three times the temperature of City B. The temperature of City A minus twice the temperature of City B was −3° C. The following system of equations models this scenario:

4x = 8 + 3y
x − 2y = −3

What was the temperature of City A and City B on that day?

City A was 5° C, and City B was 4° C.
City A was 3° C, and City B was −1° C.
City A was 8° C, and City B was −3° C.
City A was 5° C, and City B was −5° C.

Answers

Answer:

City A was 5c, and city B was 4c so it’s the first one

Step-by-step explanation:

I just took the test and I got it right

Answer:

City A was 5c, and city B was 4c

Step-by-step explanation:

Please no "files": Simplify. Express your answer as the given base raised to a single exponent.
(9^6)^8

Answers

Answer:

9^48

Step-by-step explanation:

when parenthesis are involved, you multiply the powers

6*8=48

Nathan earned $105.70 at his job when he worked for 7 hours. What was his hourly wage, in dollars per hour?

Answers

105.70 divided by 7 will give you 15.1 which will be his hourly wage.
Answer: $15.1

Sandy worked extremely hard at her job and earned a large bonus at the end of the year. She decided to give her children 2/5 of the money and her grandchildren 1/4 of her bonus. How much of her bonus did she keep for herself?

Answers

Answer:

7/20 of her bonus

Step-by-step explanation:

Solution:

She gives her children 2/5 of her bonus and grandchildren 1/4 of her bonus.

= 1 - 2/5 - 1/4

= 1 - 8/20 - 5/20

= 1 -13/20

= 7/20

I hope it helps.

The product of 7 and a number is greater than 42. If the number is a whole number less than 10 , what could the number be?

Answers

Answer:

8 or 9

Step-by-step explanation:

Your primary equation that they gave you is ?b and has to be greater than ?a  7 x ?a =42

So your answer to ?a is 7 because 7 x 7 =42   therefore your answer to ?b has to be 8 or above.  

the next part of your problem states that it is a whole number UNDER 10....  this limits your possible answer to either 8 or 9.

the sum of 9 and a number

Answers

Answer:

E+ 9

Step-by-step explanation:

Let E represent a number.

The sum of nine and the number is then E+9 as "sum" denotes addition.

Therefore the representation would be E+9

Find the value of x

A. 56° B. 66° C. 809 D. 130°​

Answers

Answer:

B.66

hope this helps you!!

2 2/3 + 3/4 Estimate the Sum or difference

Answers

2 2/3=8/3
8/3x3/4=24/12
24/12=2

in 2012, the general social survey included a question that asked participants how many hours they worked a week. do males work more hours at a job than females? would this be an example of independent or dependent samples?

Answers

Using sampling concepts, it is found that this is an example of independent samples.

For dependent samples, there is a paired measurement for one set of items.For independent samples, separate measurements are made on two different sets, that is, the value on one sample reveal no information about the values on the other sample.

In this problem, there are two samples, the sample composed of male workers and the one composed of female workers, and separate measurements are taken, hence, it is an independent sample.

A similar problem is given at https://brainly.com/question/23106151

Can someone please help I will give you 30 points and brainliest if the answer is right also no links please

Answers

Answer:

B: BC ≅EC

Step-by-step explanation:

You know that the two angles starting in C are congruent (they're opposite by vertex C).

Given that the B angle and the E angle are congruent, in order for the two triangles to be congruent by A(ngle)S(ide)A(ngle) you want the side inbetween to be congruent. That is BC and EC. Option B

What does the value 12 represent in the function

Answers

Answer: The number twelve carries religious, mythological and magical symbolism, generally representing perfection, entirety, or cosmic order in traditions since antiquity.

Step-by-step explanation: If you're not talking about this type of 12 correct me.

How do you solve , (x-2)2 ?

Answers

Answer:

Distributive property of multiplication

Step-by-step explanation:

2(x-2)

Multiply 2 times x, multiply 2 times 2, so you get:

2x-4

Answer:

Does that help?

Step-by-step explanation:

IVE BEEN STUCK ON THIS FOR ABOUT 3 HOURS
The distance your friend travels in y (miles) running x hours is represented by the equation
y = 7.5x.
a. Graph the equation and interpret the slope

b. how many minutes does it take for your friend to run one mile

Answers

a. Is the attached image. The slope is 7.5x

b. 1 = 7.5x

x = 1.33333…

This is hours so we must multiply this by 60

x = 8 min

b)
Here is another number machine.
Input
Output
х
4x + 5

Answers

Answer:

collect like terms x=5-4=1

Paula wants to divide 480 tomatoes
equally among 80 baskets. How many
tomatoes will Paula put in each basket?

Answers

Answer:

6 tomatoes

Step-by-step explanation:

480/80=6

Answer:

6 tomatoes

Step-by-step explanation:

480 ÷ 80

=> 6 tomatoes

Hoped this helped.

Highlight and name a pair of overlapping congruent triangles in each diagram. State whether the triangles are congruent by SSS, SAS, ASA, AAS, or HL.

Answers

Step-by-step explanation:

Diagram 1

ΔALP ≅ ΔMLN by ASAΔANO ≅ ΔMPO by AAS (angle O is common)

Diagram 2

ΔMQW ≅ ΔSRW by SSSΔMQR ≅ ΔSQR by SSS (QR is common side)

Diagram 3

ΔAGR ≅ ΔOGR by SSSΔARO ≅ ΔARF by HL

Diagram 4

ΔGOS ≅ ΔGTR by ASA (∠G is common)ΔSTU ≅ ROU by AAS (∠U is congruent as vertical and RO = ST)

The fuel capacity of a popular hybrid car is 11.9 gallons. The function for this situation is f(x) = -0.02x + 11.9, where x represents miles and f(x) represents the amount of fuel remaining. What is the rate of change for this scenario?​

Answers

Answer:

-0.02 gallons per mile

Step-by-step explanation:

You're in luck. The fuel consumption of the car is linear, and the slope - ie, the coefficent of the x term gives you the rate of change. In this case, it's -0.02 gallons per mile.

I put the question in a doc cuz its a screenshot, please help

Answers

Answer:

38

Step-by-step explanation:

90-52

I hope this helps

Help please and thank you!

Answers

they would be confirmation

Answer:

... are ...

Step-by-step explanation:

Verify if the ratio of corresponding sides is same:

Long sides ratio: 38/19 = 2Middle sides ratio: 28/14 = 2Short sides ratio: 20/10 = 2

Since the ratios are same the triangles are similar

Find the unit rate to 30 1/2 and 1 1/4

Answers

Answer:

24.4

Step-by-step explanation:

yw

A dog has a litter of three male pups and
five female pups. What percent of the pups
in the litter are male?

Answers

Answer:

3 is 37.5% of 8 so the answer is about 37%

Step-by-step explanation:

Answer:

37.5%

Step-by-step explanation:

Three male and five female.

So, we need to find out the mall.

We can divide this out of 8.

3/8 and 5/8.

Male - 37.5%

Female - 62.5%

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