Solve the system using elimination.
7x - 5y = 26
2x+4y= 2

Answers

Answer 1

Answer:

x=3, y=-1. (3, -1).

Step-by-step explanation:

7x-5y=26

2x+4y=2

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

simplify 2x+4y=2 into x+2y=1

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

7x-5y=26

x+2y=1

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

x=1-2y

7(1-2y)-5y=26

7-14y-5y=26

7-19y=26

19y=7-26

19y=-19

y=-19/19

y=-1

x+2(-1)=1

x-2=1

x=1+2

x=3

Answer 2

Answer: x=-1,y=0

Step-by-step explanation:

7x - 5y = 26 multiplied by factor of 2 becoming 14x-10y=52

2x+4y= 2 multiplied by factor of 7 becoming 14x+28y=14

now solve by elimination

 14x+28y=14

-(14x-10y=52)

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

38x=-38

x=-1

to find y plug in x to an equation

2(1)+4y= 2

y=0


Related Questions

Find the perimeter of the square:
6x + 1

Answers

Answer:

Do you have a photo

Step-by-step explanation:

I'll be happy to help

Plz Help Me!

cross multiplying write the proportion:

2/310,5/c

m/3,32/4

Answers

Answer:

Step-by-step explanation:

2/310=5/c

simplify 2/310 into 1/155

1/155=5/c

cross product

155*5=1*c

775=c

c=775

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

m/3=32/4

simplify 32/4 into 8,

m/3=8,

m=8*3=24

m=24

100 POINTS AND MARKED AS BRAINLIEST IF YOU ANSWER THIS
Create an expression that you would use to solve the problem below.
YOU DO NOT NEED TO SOLVE. Just set up the expression to represent the situation below.

A tool rental cost $0.65 per minute. If the total bill for rental was $18.20, then for how many minutes was the tool used.

Answers

Answer:

$18.20/0.65=28 minutes

Step-by-step explanation:

$18.20 was the cost of the rental divide it by the cost per minute and that will give you the total number of minutes used which is 28.

Answer:

since one mins = 0.65

for 18.20= 18.20/0.65= 28mins

what is the radical form?

Answers

Answer:

B

Step-by-step explanation:

Using the rules of exponents

[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex]

[tex]a^{\frac{m}{n} }[/tex] ⇔ [tex]\sqrt[n]{a^{m} }[/tex]

Given

[tex]t^{-\frac{2}{7} }[/tex]

= [tex]\frac{1}{t^{\frac{2}{7} } }[/tex]

= [tex]\frac{1}{\sqrt[7]{t^{2} } }[/tex]

Ashby ate a lot for thanksgiving dinner.he decided to go on a long run. He ran 6 miles in 57 minutes.how long did it take him to run one mile?

Answers

Answer: 9.5

Step-by-step explanation: 57 divided by 6 is 9.5

Mr. william bought an old table for RS 850 and spent 1/10 of the cost price on its repairs. He sold the table for Rs 1050. Find his gain or loss percent.
fast please!

Answers

Answer:

115

Step-by-step explanation:

1/10 of 850= 85

he spent and additional RS 85 on its repairs

cost price + repairs price =935

he sold it for 1050

to find his gain =1050-935

=115


Nancy Gardener is making dresses for her granddaughters. For each dress she will
need between three and four yards of fabric. The fabric she is using costs $4.34
per yard after sales tax is added. If she has four granddaughters, about how much
should she expect to spend at the fabric store?
A- $72 to $96
B- more than $96
C- $48 to $72
D- $24 to $48

Answers

Answer:

the answer is c

Step-by-step explanation:

In a two-digit number the units digit is three less than the tens digit. If the digits are reversed, the sum of the reversed number and the original number is 121. Find the original number.

Answers

answer: 74

explanation:

7-3=4

74

+47

---

121

Answer:

The digits are 7 and 4. The number would be 74.

Step-by-step explanation:

In a two-digit number we have the unit's digit and the ten's digit. The unit's digit is represented by [tex]u[/tex]. Then ten's digit must be represents with a number 10 as a coefficient, and the variable would be [tex]d[/tex]. So, the numerical vale of the number would be:

[tex]10d+u[/tex]

Also, we know that [tex]d=u+3[/tex], because the unit digit is three less than tens digit, or tens digit is three more units than the unit digit.

Then, the sum of the reversed number and the original number is 121, this would be expressed:

[tex]10d+u+10u+d=121\\11d+11u=121[/tex]

But, we know that [tex]d=u+3[/tex], so, we replace it:

[tex]11(u+3)+11u=121\\11u+33+11u=121\\22u+33=121\\22u=121-33\\u=4[/tex]

Then, if tens digits is 3 more, [tex]d=7[/tex]

Therefore, the digits are 7 and 4. The number would be 74.

Triangle ABC has side lengths: V6, V2, and 2/2 units.
The measures of the angles of the triangle are
If the base of the triangle has a length of 16 then the measure of the base angle is

Answers

Answer:

90°, 60°, and 30°

60°.

Step-by-step explanation:

The triangle ABC has side lengths √6, √2, and 2√2 units.

It is clear that the triangle ABC is right triangle because (2√2)² = (√6)² + (√2)² that means the side lengths satisfy the Pythagoras Theorem.

Now, if the angle between hypotenuse (2√2 units) and base (√2 units) is [tex]\theta[/tex], then

[tex]\cos \theta = \frac{\sqrt{2} }{2\sqrt{2} }  = \frac{1}{2}[/tex]

Hence, [tex]\theta[/tex] = 60°

Therefore, the three angles of the triangle are 90°, 60°, and 30°.

Now, if the base of the triangle is 16 units, then other two side lengths will also change proportionally to remain the triangle a right triangle.

And in that case the base angle will remain 60°. (Answer)

How do you evaluate the expression 7x + 4 for x = 6

Answers

Answer:

46

Step-by-step explanation:

7x+4

7(6)+4

42+4

46

Step-by-step explanation:

7x+4=6

substitute 6 in x

7(6)+4

42+4=46

17 more than twice Gail’s age

Answers

Answer:

34

Step-by-step explanation:

i just know t hat this is th answer

34 just did the answer

Ben starts commision as a real estate agent last month his total sales for all the houses he sold $950,000.If ben earns a 3% rate of commision what was his gross income kast month

Answers

Ben's gross income was $28,500.

Step-by-step explanation:

Sales for the month = $950000

Commission rate = 3%

Amount of commission = 3% of sales for the month

Amount of commission = [tex]\frac{3}{100}*950000[/tex]

Amount of commission = [tex]\frac{2850000}{100}[/tex]

Amount of commission = $28500

Ben's gross income was $28,500.

Keywords: percentage, division

Learn more about division at:

brainly.com/question/4054269brainly.com/question/4163549

#LearnwithBrainly

8x raise 2 -36 is a linear expression true or false

Answers

Answer:

False.  [tex]8x^2-36[/tex] is not a Linear expression.

Step-by-step explanation:

Given: [tex]8x^2-36[/tex]

we need to find whether it is a linear expression or not.

By Definition of Linear expression we say,

Linear expression is an algebraic expression where the power of variable(s) is equals to 1

Or we can say that:

Polynomial having power of variable(s) as 1, is known as Linear Expression

In the above expression the power of variable is 2 hence it is not a linear expression.

Hence the statement is False, the [tex]8x^2-36[/tex] is not a Linear expression.

If 4x=18, what is the value of 4(X-2)?

Answers

Answer:16

Step-by-step explanation:

If 4x=18 then 4x-2=16

Given the function f(x) = 4(2)x, Section A is from x = 1 to x = 2 and Section B is from x = 3 to x = 4.

Part A: Find the average rate of change of each section. (4 points)

Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other. (6 points)

(10 points)

Answers

Answer:

Part A: Section A- 8, Section B- 32.

Part B: 4 times.

Step-by-step explanation:

The function is given by [tex]f(x) = 4(2)^{x}[/tex].

Section A is from x = 1 to x = 2.

Now, f(1) = 4 × 2 = 8 and f(2) = 4 × 2 × 2 = 16

Again, section B is from x = 3 to x = 4.

Now, f(3) = 4 × 2 × 2 × 2 = 32 and f(4) = 4 × 2 × 2 × 2 × 2 = 64

Part A:

In section A, the average rate of change is = [tex]\frac{f(2) - f(1)}{2 - 1} = 16 - 8 = 8[/tex] (Answer)

And in section B, the average rate of change is  = [tex]\frac{f(4) - f(3)}{4 - 3} = 64 - 32 = 32[/tex] (Answer)

Part B:

Therefore, the number of times the average rate of change of section B is greater than section A is [tex]\frac{32}{8} = 4[/tex] (Answer)

Answer:

Part A: Section A- 8, Section B- 32.

Part B: 4 times.

Step-by-step explanation:

The function is given by .

Section A is from x = 1 to x = 2.

Now, f(1) = 4 × 2 = 8 and f(2) = 4 × 2 × 2 = 16

Again, section B is from x = 3 to x = 4.

Now, f(3) = 4 × 2 × 2 × 2 = 32 and f(4) = 4 × 2 × 2 × 2 × 2 = 64

Part A:

In section A, the average rate of change is =  8

And in section B, the average rate of change is  =  32

Part B:

Therefore, the average rate of change of section B is greater than section A is (32 / 8 = 4)

Brenda considers geometric figures and concepts that are related to lines. Which terms are considered undefined?
Check all that apply.
line
line segment
distance along a line
O parallel lines
perpendicular lines
point

Answers

Answer:

A, C, F

Step-by-step explanation:

Answer:

1,3&6

Step-by-step explanation:

line

distance along a line

point

what is negative seven divided by four​

Answers

Answer:    -1.75

Step-by-step explanation:

Answer:

-1.75 is the answer ....

what is the median,lower quartile,maximum,upper quartile,and the minimum of 34, 37, 39, 32, 48, 45, 53, 62, 58, 61, 60, 41

Answers

Answer:

Median = 46.5

Minimum = 32

Maximum = 62

Lower quartile = 38

Upper quartile = 59

Step-by-step explanation:

Before we can proceed to solving any of these, it is best you arrange your data first from least to greatest

32  34  37  39  41  45  48  53  58  60  61  62

First we have the median. The Median is the middle value. In this case we an even number of data, which is 12 data points. The middle value of the data would be found in between the 6th and 7th data point:

45 and 48

To get the middle value, you need to solve for the value that is in the middle of 45 and 48 by getting the sum of both numbers and dividing it by two.

45 + 48 = 93

93 ÷ 2 = 46.5

The minimum and maximum value is merely the least and greatest number.

Here we have:

Minimum = 32

Maximum = 62

To get the lower and upper quartiles, just remember that quartiles divide the data into 4 equal parts. All you need to do is find the value that is in between each quarters of the data:

            Q1 (Lower)  Q2(Median) Q3(Upper)

32  34  37 |  39  41  45 | 48  53  58 | 60  61  62

Like the median, we will find the value that comes in between each quarter.

Q1

37 + 39 = 76

76 ÷ 2 = 38

Lower quartile = 38

Q3:

58 + 60 = 118

118 ÷ 2 = 59

Upper quartile = 59

Answer:

the person on top has it right ^^^^^^^^^^ did the work and it right thx :))

How much dollars is 100,000 nickels

Answers

Answer:

$5000

Step-by-step explanation:

A nickel is worth 5 cents, or 0.05 dollars.

Multiply the number of nickels by the worth of a nickel in dollars.

100,000 * $0.05

= $5000

Therefore, 100,000 nickels is worth $5000.

Answer:

THE ANSWER IS $5000

Step-by-step explanation:

A NICKLE IS WORTH 5 CENTS, OR $0.05. SO YOU MULTIPLY THE 100,000 BY THE WORTH OF NICKLES IN A DOLLAR. SO YOU DO 100,000 X 0.05= $5000. SO 100,000 NICKLES IS WORTH $5000.

I NEED HELLPPPP!!!!!!
Find (3 × 104) − (5 × 102).
A) 2.905 × 102
B) 2.905 × 104
C) 2.95 × 102
D) 2.95 × 104

Answers

Answer:

-198

Step-by-step explanation:

you will deal with the ones in the bracket first

that is [3×104]=312

[5×102]=510

312-510=-198

according to me there is no answer in your option my answer is negative198

frome 12 to 16 in a month what is the percent of increase for that month round if needed​

Answers

Answer:

33.33%

Step-by-step explanation:

The value of a variable change from 12 units to 16 units in a month.

We have to calculate the percentage increase for that month.

Therefore, the increase of value from 12 to 16 means by (16 - 12) = 4 units

So, the percentage increase for the month is [tex]\frac{4}{12} \times 100 = 33.33[/tex]%. (Rounded to the two decimal). (Answer)

A college student receives an interest-free loan of $9,400 from a relative. The student will repay $200 per month until the loan is paid off.
(a) Express the amount P (in dollars) remaining to be paid in terms of time t (in months). (Give your answer in slope-intercept form.)
(b) After how many months will the student owe $5000?

Answers

Answer:

(a) P  =  - 200 T + 9,400

(b) After 22  months the student  will owe $5000.

Step-by-step explanation:

Here, the amount loaned out to the student = $9,400

The installment amount of each month  = $200

(a) P : Amount remaining to be paid

    T: time in months

Now, the remaining amount = Actual amount - Amount paid in T months

or,      P = 9,400 - $200 (T)

P  =  - 200 T + 9,400 ( y = mx + C form)

(b) The remaining amount left = $5000

As we know, P = 9,400 - $200 (T)

⇒ 5,000 = 9,400 - 200 T

⇒200 T = 9,400 - 5,000 = 4,400

⇒ T = 4400/200 =  22

or T = 22 Months

Hence,  After 22  months the student  will owe $5000.


The ratio of incomes of two persons is 9:7. The difference in their weekly incomes is $200. What are their weekly incomes?


What’s the answer

Answers

Answer:

The weekly savings of first person = $900

The weekly savings of second person = $700.

Step-by-step explanation:

Let us assume the income of first person = $ m

Now, as the difference in the income is $200.

⇒ And the income of first person  -  income of first person =  $200

Income of second person    =    m -  $200

So, according to the question:

Ratio of   Income of First person : Second Person's Income  =  9: 7

or, m : ( m - 200)   =  9: 7  

[tex]\implies  \frac{m}{m - 200 }  = \frac{9}{7}[/tex]

[tex]7 \times m = (m - 200) \times 9\\\implies 7 m = 9m - 1800\\\implies 7m - 9m = -1800\\\implies -2m = -1800\\m = \frac{1800}{2}   = 900[/tex]

or,m = $900

Hence, the weekly savings of first person = $900

and the weekly savings of second person = m - 200 = $900 - 200 = $700.

Final answer:

To find the weekly incomes of two persons with a ratio of 9:7 and a difference of $200, represent their incomes as 9x and 7x. Solving for x, we get $100, so their incomes are $900 and $700 respectively.

Explanation:

The question asks us to solve for the weekly incomes of two persons given that the ratio of their incomes is 9:7 and the difference between their incomes is $200.

Let's represent the incomes of the two persons as 9x and 7x respectively, where x is a common multiplier. According to the information provided,

9x - 7x = $200

Solving for x:

(9x - 7x) = 2x

2x = $200

x = $200 / 2

x = $100

Now calculating each person's income:

Person A: 9x = 9 * $100 = $900

Person B: 7x = 7 * $100 = $700

Therefore, the weekly incomes of the two persons are $900 and $700 respectively.

Which of these sets could represent the side lengths of a right triangle?
Group of answer choices

{4, 8, 12}

{6, 8, 10}

{6, 8, 15}

{5, 7, 13}

Answers

Answer:

{6, 8, 10} is a set which represents the side length of a right triangle.

Step-by-step explanation:

In a right triangle:

[tex](Base)^{2}  + (Perpendicular)^{2}   = (Hypotenuse)^{2}[/tex]

Now, in the given triplets:

(a) {4, 8, 12}

Here, [tex](4)^{2}  + (8)^{2}   = 16 + 64  = 80\\\implies H = \sqrt{80}  =  8.94[/tex]

So, third side of the triangle   8.94 ≠ 12

Hence,  {4, 8, 12} is NOT a triplet.

(b) {6, 8, 10}

Here, [tex](6)^{2}  + (8)^{2}   = 36 + 64  = 100\\\implies H = \sqrt{100}  =  10[/tex]

So, third side of the triangle  10

Hence,  {6, 8, 10} is  a triplet.

(c) {6, 8, 15}

Here, [tex](6)^{2}  + (8)^{2}   = 36 + 64  = 100\\\implies H = \sqrt{100}  =  10[/tex]

So, third side of the triangle  10  ≠ 15

Hence,  {6, 8, 15} is  NOT a triplet.

(d) {5, 7, 13}

Here, [tex](5)^{2}  + (7)^{2}   = 25 + 49  = 74\\\implies H = \sqrt{74}  =  8.60[/tex]

So, third side of the triangle  8.60  ≠ 13

Hence, {5, 7, 13} is  NOT a triplet.

Please help me idk howwwwww

Answers

Answer:

OPTION B: y = [tex]$ \frac{1}{2} $[/tex]x - 2

Step-by-step explanation:

To find the equation of the line substitute the value of x and compare the corresponding value of y.

OPTION A:  

y = 2x + 4

Substitute x = 0. We get, 2(0) + 4 = 4

When x = 0, y = -2 [tex]$ \ne $[/tex] 4.

OPTION B:

y = [tex]$ \frac{1}{2} $[/tex]x - 2

Substitute x = 0, we get [tex]$ \frac{1}{2} (0) - 2$[/tex]

= -2

When x = 2, [tex]$ \frac{1}{2}(2) - 2 $[/tex] = 1 - 2

=-1

Similarly, When x = 4, [tex]$ \frac{1}{2}(4) - 2 = 2 - 2 $[/tex]

= 0.

Since, all the values are satisfied, OPTION B is the answer.

Substitute OPTION C and OPTION D. They do not satisfy the values either.

2 + 1.25f = 10 - 2.75f​

Answers

Answer:

f=2

Step-by-step explanation:

1.25f+2.75f= 10-2

You must take positive two to the other side to get negative 2. Also, you should take the negative 2.75f to the other side to get positive 2.75f.

4f= 8

f= 2

Answer:

f=2

Step-by-step explanation:

Solve this please and list your steps

Answers

Answer:

√125 + 5 or 16.180

Step-by-step explanation:

√5 · 5 · 5 + √5 · 5

√25 · 5 + √25

√125 + 5 or 16.18

HELP PLEASE HARDEST QUESTION IN THE WORLD :(

MICKEY AND MINNIE ARE EXPECTING.

THEY ARE A VERY HAPPY COUPLE.

THE DOCTOR SAID THEY ARE HAVING 5 BOYS AND 5 GIRLS.

MICKEY AND MINNIE ARE RATS.

EVERY THREE WEEKS AN ADULT RAT COUPLE CAN HAVE BABIES.

IT TAKES 6 WEEKS FOR A BABY RAT TO BECOME AN ADULT
AND BE OLD ENOUGH TO HAVE A BABY.


ASSUMING MICKEY AND MINNIE WANT TO HAVE AS MANY CHILDREN AS POSSIBLE AND THEIR OFFSPRING WANT TO HAVE AS MANY CHILDREN AS POSSIBLE,
WHAT WILL BE THEIR ENTIRE POPULATION IN ONE YEAR? (52 WEEKS)
(INCLUDING MICKEY AND MINNIE)
(ASSUME EVERY PREGNACY WILL CONSIST OF 5 BOYS AND 5 GIRLS)

Answers

Answer: 6, 570

Step by step explanation:  If Minnie and Mickey have 5 girls and 5 boys every 3 weeks for 52 weeks this means they will have 17 pregnancies. At the end of one year Minnie and Mickey alone will have produced 170 children. It takes these children 6 weeks to grow up and be ready to reproduce. Every 6 weeks 10 new rats will be able to have children at a rate of 10 per 3 weeks. This means that a single set of 10 offspring will have 100 children every 3 weeks. There will be 8 sets of offspring that can reproduce before the year is over. This means if the sets have 100 children every 3 weeks starting with one set and adding one more set every 6 weeks, at the end of the year the offspring's offspring will total 6,400. 6,400 + 170 will equal 6,570. The total population is 6,570.

[20 pts] evaluate the logarithm log(6)1/36​, show work pls!

Answers

Answer:

[tex]\large\boxed{\log_6\dfrac{1}{36}=-2}[/tex]

Step-by-step explanation:

[tex]\text{We know:}\\\\\log_ab=c\iff a^c=b\\\\\log_6\dfrac{1}{36}\qquad\text{use}\ a^{-1}=\dfrac{1}{a}\\\\=\log_636^{-1}=\log_6(6^2)^{-1}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=\log_66^{(2)(-1)}=\log_66^{-2}\qquad\text{use}\log_ab^n=n\log_ab\\\\=-2\log_66\qquad\text{use}\ \log_aa=1\\\\=-2(1)=-2[/tex]

[tex]\log_6\dfrac{1}{36}=-2\ \text{because}\ 6^{-2}=\dfrac{1}{6^2}=\dfrac{1}{36}[/tex]

The solution of logarithmic function is, - 2

We have to given that,

Logarithmic function is,

⇒ log ₆ (1/36)

Now, We can apply the logarithmic rule to solve as,

⇒ log ₆ (1/36)

⇒ log ₆ (36)⁻¹

⇒ log ₆ (6)⁻²

⇒ - 2 log ₆ (6)

⇒ - 2 × 1

⇒ - 2

Therefore, The solution of logarithmic function is, - 2

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ6

What is the length of line segment BC?
2 cm
3 cm
6 cm
8 cm

Answers

Where’s the diagram?

Answer:

3

Step-by-step explanation:

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She has lots of friends and is always one of the first people chosen whenever there are group projects. According to Gardner, at which type of intelligence does Corrie likely excel? What is the Thalweg? (site 2) Marcela (encontrar) las sandalias debajo de la cama. Question 2 with 1 blankGustavo (recibir) un regalo muy bonito. Question 3 with 1 blankSara y Viviana (terminar) el libro al mismo tiempo. Question 4 with 1 blankLa agente de viajes (preparar) un itinerario muy interesante. Question 5 with 1 blank(yo) (visitar) la ciudad en invierno. Question 6 with 1 blankLos dependientes (escuchar) el partido por la radio. Question 7 with 1 blankPatricia y t (viajar) a Mxico el verano pasado. Question 8 with 1 blank(nosotras) (escribir) una carta al empleado del almacn. Question 9 with 1 blank(t) (regresar) del centro comercial a las cinco de la tarde. Question 10 with 1 blankUstedes (vivir) en casa de sus padres. #Metoo movement What is the problem? And write down three SolutionsCan someone help me with this please please Which situation is considered a cause of the other three? The benefit of assertive communication is that:A. It intimidates others into agreeing with you.B. It conveys information directly.C. It involves a strong tone of voice.D. It is accompanied by calm body language. Prove that y=x at x=0 has both a local and global minimum using first derivative test. I can prove it with a graph looking at it visually but how would you prove it with written words. The fruit fly Drosophila melanogaster has an allele that confers resistance to DDT and similar insecticides. Laboratory strains of D. melanogaster have been established from flies collected in the wild in the 1930s (before the widespread use of insecticides) and the 1960s (after 20 years of DDT use). Lab strains established in the 1930s have no alleles for DDT resistance. In lab strains established in the 1960s, the frequency of the DDT-resistance allele is 37%. Which statement is correct?A. Resistance to DDT evolved in some fruit flies in order to allow them to survive B. Alloles for DDT resistance arose by mutation during the period of DDT use because of selection for pesticide resistance C. The evolutionary fitness associated with the heritable trait of DDT resistance changed once DDT use became widespread. Nuclear power plants require a lot of water to operate.true or false Which task is a part of narrowing down a subject for a paper? A. searching for research sources B. organizing researched data C. creating a plan for writing the paper D. deciding on the scope of the topic Without any announcement from the teacher, students come into class, take their seats, take out their workbooks, and begin working exercises written on the chalkboard. The aspect of classroom management illustrated in this description is best described as: Traci is enrolled in an online higher education program. Traci receives a series of assignments that need to be completed in a fixed time frame. A system exists that allows Traci to communicate with her professor and classmates.Traci is most likely enrolled in a(n) ________.A) hybrid programB) asynchronous learning programC) online synchronized study programD) cyber program