Mathematics High School

The product of two numbers is 26 and one of the numbers is one larger than six times the other number. find the numbers.

Answers

Answer 1

Answer:

(-13/6, -12)

(2, 13)

Step-by-step explanation:

x · y = 26 -------> x = 26/y

y = 1 + 6x

SUB for y

x(1 + 6x) = 26

x + 6x² = 26

SOLVE for x

6x² + x - 26 = 0

6x² + 13x - 12x - 26 = 0

6x(x - 2) 13(x - 2) = 0

(6x + 13)(x - 2) = 0

x = -13/6 or 2

Test x = -13/6 for both equations

Equation 1

-13/6 · y = 26

y = -156/13

y = -12

Equation 2

y = 1 + 6(-13/6)

y = 1 - 13

y = -12

-12 = -12 ✅

Test x = 2 for both equations

Equation 1

2 · y = 26

y = 26/2

y = 13

Equation 2

y = 1 + 6(2)

y = 1 + 12

y = 13

13 = 13 ✅

Hope this helps & God bless!

Related Questions

HELP PLEASE!!!

How many times larger is the area of the larger rectangle than the area of the smaller rectangle?

9
or
6

Answers

The larger rectangle is 9 time larger than the smaller one because the area of the larger one is 576mm and the small one is 64mm and when you divide 576mm by 64 mm you get nine ( not 9mm just 9 )

Answer:

Step-by-step explanation:

Using Tisha's ratio of 4:6 of popcorn to candy lovers, how many popcorn lovers to candy lovers
would there be if Tisha had 50 friends? 100 friends?

Answers

Answer:

50 friends = 20:30

100 friends = 40:60

Step-by-step explanation:

Let candy lovers = cl

Let popcon lover = pl

Let total = t

1) Let's write in ratio form.

pl : cl

4 : 6

2) Add the ratios (4 + 6 = 10) and write it in fraction form multiplying the desired amount.

pl: [tex]\frac{4}{10} * 50[/tex]

cl: [tex]\frac{6}{10}*50[/tex]

3) Solve them.

pl: 20

cl: 30

3) Take the same steps to get the ratio for 100 friends.

pl: [tex]\frac{4}{10} * 100[/tex]

cl: [tex]\frac{6}{10} * 100[/tex]

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

pl: 40

cl: 60

The average vehicle releases 1.39grams of NOx per mile driven. If a vehicle is driven 22,000miles per year for 15 years, how much NOx does that vehicle release

Answers

The quantity of NOx the vehicle will release in 15 years for running 22000miles each year will be 458700 grams.

What is multiplication?

Multiplication is an operation that represents the basic idea of repeated addition of the same number.

here in the question we will multiply the Nox released by the vehicle per year to 15 years.

Given that: Vehicle releases 1.39 Nox per mile

Now if vehicle is running 22000 miles per year so the Nox released per year will be =22000x1.39=30580 grams per year

For 15 years the NOx released by the vehicle will be = 30580x15=458700 grams

Hence the quantity of NOx the vehicle will release in 15 years for running 22000miles each year will be 458700 grams.

To know more about Multiplication follow

https://brainly.com/question/10873737

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If a newspaper costs $0.60 and you only have $5.00 in quarters, how many cents would you lose out on because the vending machine doesn't give back any change?

Answers

Answer:

Step-by-step explanation:

500 / 4 = 20 quarters we have

for the newspaper we will put only 3 quarters to machine

3 * 25 = 75 cents

75 - 60 = 15 cents lose

still we have 17 quarters

help me!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

C) 1 quart

Step-by-step explanation:

I need c and d answered badly

Answers

C. translated down 2 units

---The "-2" located on the outside of f(x) tells us that the y-values are being changed. With that, the graph can be moved up or down. The presence of the negative/subtraction sign tells us that the graph is moved down.

D. translated right 4 units

---The "-4" located with the x in f(x) tells us that the x-values are being changed. The only tricky thing about this is that the direction of the movement is actually the opposite of the sign. So with the negative/subtraction sign, the graph is moved to the right instead of the left.

Hope this helps!

3 1/18 x 90 Thanks everyone whos been helping ! :)

Answers

Answer:

Step-by-step explanation:

Not sure

hey guyshey guyshey guyshey guyshey guyshey guyshey guyshey guysvhey guyshey guyshey guyshey guyshey guyshey guysvvvhey guyshey guysvvhey guysvvvvvhey guyshey guysvhey guysvhey guys

Answers

Answer:

uhhhh

Step-by-step explanation: hi

SIMPLIFY: 4 (1-x + x²)-2 ( 5x) x +3+5x

Answers

Answer:

By simplifying the expressions we get,

-6x^{2}+x+7

Step-by-step explanation:

Answer:

-6x^2+x+7

Step-by-step explanation:

-6x^2+x+7

what’s 110 decreased by 30%

Answers

110*30/100 = 33 as it is decreased so 110-33 so 77
Hence, 77

Answer:

110 decreased by 30% is 77.

Step-by-step explanation:

To do this, what we do is simply take 30% of 110 and subtract it from 110.

30% of 110. A trick to easily figure this out is multipling 110 by 30 and dividing by 100.

110*30 = 3300

3300 / 100 = 33

110 - 33 = 77

110 decreased by 30% is 77.

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

All you do is

Step-by-step explanation:

1/4 x 6

Then simplefiy your answer

Hey there!

6 * 1/4

= 6/1 * 1/4
= 6(1) / 1(4)

= 6 / 4

= 6 ÷ 2 / 4 ÷ 2

= 3 / 2

≈ 1 1/2

Therefore, your answer is: 1 1/2

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

pls say the answer with steps

Answers

Answer:

Step-by-step explanation:

-2/7 * 5/6 = - 10 / 42

-2/7 * - 1/3 = 2/21

So the equation now :

-10 / 42 + 2/1 + 2/21 =

Let the have same denominator

- 10 / 42 + 84 / 42 + 4/ 42 =

= 78 / 42

How many unit cubes need to be added to the figure so that it will have a total
volume of 12 cubic units?

Answers

Answer:

c. 4

Step-by-step explanation:

see how many cubes are already there. Then, subtract that answe from 12 to get how many you need.

Answer:

Count the units in total shown here:

There are 2 units both in the back and front.

So double of 2 means 4 units, there are 4 units on the back and front.

Now count the units between them:

There are 4 units across from them.

Add the units together:

4 + 4

= 8, there are 8 units in total shown in this figure.

But, we need to find how many more units should be added to these 8 units to get a result of 12 units altogether.

So, subtract the 8 units from the 12 units to get the remaining units you would need to add to 8 units to get 12.

12 - 8

= 4, you would need 4 more units so that this figure would have a volume of 12.

Is my answers correct?

Answers

Answer:

yes

Step-by-step explanation:

What is 6 divided by 22.02

Answers

Answer:

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

0.27

Answer:

0.27

0.27247956403

Step-by-step explanation:

hope this helps

vicki has a garden box that is 3 and 1 half feet long 8 feet wide and 1 half foot deep how many cubic feet of dirt does she need to fill the garden box completely.

Answers

Answer:

62 cubic feet

Step-by-step explanation:

31/2*8*1/2

put into calculator

Select the number line that represents the opposite of the opposite of 7.
A.
B.
C.
D.

Answers

Answer: D

Step-by-step explanation: i took a course on this

What's the volume of a rectangle whose area is 63ft and length is 14ft?

Answers

Answer:

the answer is 4.5

Step-by-step explanation:

63 = 14

divide 14 on both sides

14/14 cancels out

63/14 = 4.5

The table displays the scores of students on a recent exam. Find the mean of the
scores to the nearest 10th.
Score Number of Students
75
5
80
7
85
7
90
6
95
4

Answers

Answer:

84.5

Step-by-step explanation:

multiply score by number of students, add them, divide by total students.

If the ratio of plums to peaches to kiwis is 10:4:5, how many plums are there if the total number of fruits is 190?
A. 50

B. 40

C. 104

D. 100

Answers

Answer:

D.100

Step-by-step explanation:

10+4+5=19

190/19=10

1 part= 10

plumes=10 parts
10x10= 100 plums are there

H14
113
42
11
-10
H13
12
-11
-40
9
144
H13
H12
-11
10
3
-6
TOA
2
4
1 2 3 4 5 6 7 8 9 1011121314
1 2 3 4 5 6 7 8 9 1011121314
1 2 3 4 5 6 7 8 9 1011121314
94
14
4000
H14
13
Y4
14
13
12
11
10
13
42
11
10
9
8
7
12
8
а со т о р т о су
-11
10
9
8
-7
6
5
No dob
3
2
1
3
2
1
2.
1 2 3 4 5 6 7 8 9 1011121314
1 2 3 4 5 6 7 8 9 1011121314
1 2 3 4 5 6 7 8 9 1011121314
Positive Association
Negative Association
No Association

Answers

uh I don't unerstand that :(

37 A grocery store clerk arranged 72 boxes of pasta on 3 shelves. If he placed the same number of boxes on each shelf, how many boxes did he place on
each shelf?

Answers

Answer:

24.

Step-by-step explanation:

The answer to this can be found by dividing 72 by 3.

72 divided by 3 = 24.

24 boxes of pasta on each shelf

Is 3927 divisible by 9?

Answers

Answer:

Nope

Step-by-step explanation:

3 + 9 + 2 + 7 = 21

21 is not divisible by 9, Therefore, 3927 is not divisible by 9.

Answer:

No. not by a full number

Step-by-step explanation:

Because if we whip out our calculators we get 436.333333333

y=[ ? ]° need help asap

Answers

y = 42°

hope it helps...!!!

i believe that it should be 42 degrees

why is m dog eating 300 dog treats but 0 food?

Answers

Answer:

...300 dog treats? Do you not have dog food in your house?

Maybe it's because they dont like the brand of the dog food.

Answer:

because your dog is used to dog treats

correct answer gets brainliest

Answers

Answer:

bottom right

Step-by-step explanation:

the other ones do not go up/down by the same amount

What is the quotient of 1/2 and 7/16

Answers

[tex]\dfrac 12 \div \dfrac 7{16}\\\\\\=\dfrac 12 \times \dfrac{16}7\\\\\\=\dfrac{16}{14}\\\\\\=\dfrac{8\times 2}{7 \times 2}\\\\\\=\dfrac 87[/tex]

Savannah decides to research the relationship between the length in inches and the
weight of a certain species of catfish. She measures the length and weight of a number
of specimens she catches, then throws back into the water. After plotting all her data,
she draws a line of best fit. Based on the line of best fit, what would you predict to be
the length of a catfish that weighed 36 pounds?

Answers

Using the line of best fit, it is found that the predicted length of a catfish that weighed 36 pounds is of 36 inches.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, the line passes through points (20,4) and (29,22), hence the slope is given by:

m = (22 - 4)/(29 - 20) = 2.

Then:

y = 2x + b.

Point (20,4) is replaced in the equation and used to find b, hence:

4 = 2(20) + b

b = -36

Then the equation is given by:

y = 2x - 36.

When the weight is of 36 pounds, x = 36, hence the prediction is of:

y = 2(36) - 36 = 36 inches.

More can be learned about linear functions at https://brainly.com/question/24808124

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Answer:

Step-by-step explanation: Ruby caught a catfish 25 inches long

Using the table below, complete and explain the process used for each step in solving the equation. 4c+ 12-2c = 5c - 3

Answers

Answer:

c=3

Step-by-step explanation:

4c+12-2c=5c-3 1. combine like terms

2c+12=5c-3 2. -5c on both sides

-3c+12=3 3. -12 on both sides

-3c=-9 4. /-3 on both sides

c=3

is pi to the second power rational, real, irrational, integer, whole, or natural

Answers

Answer:

(pi) is irrational ...........

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