Solve algebraically please URGENT
y=5x−7
−6x−4y=−24

Answers

Answer 1

[tex]\left\{\begin{array}{ccc}y=5x-7\\-6x-4y=-24&\text{divide both sides by (-2)}\end{array}\right\\\left\{\begin{array}{ccc}y=5x-7&(*)\\3x+2y=12&(**)\end{array}\right\\\\\text{substitute }\ (*)\ \text{to}\ (**):\\\\3x+2(5x-7)=12\qquad\text{use distributive property}\\\\3x+(2)(5x)+(2)(-7)=12\\\\3x+10x-14=12\qquad\text{add 14 to both sides}\\\\13x=26\qquad\text{divide oth sides by 13}\\\\\boxed{x=2}\\\\\text{Put the vaalue of x to}\ (*):\\\\y=5(2)-7\\\\y=10-7\\\\\boxed{y=3}\\\\Answer:\ \boxed{x=2\ and\ y=3\to(2,\ 3)}[/tex]


Related Questions

Which of the following inequalities matches the graph?

Answers

are there any more choices? it looks like B because the graph is decreasing.

Please help!!!!

What does it mean to say that a number is a perfect square? Give one example of a number that is a perfect square and one that is not. Explain your examples.


What dose it mean to say that a number is a perfect square? Give one exampel of a number that is a perfect square and one that is not.


Be sure to include the following: 


Define the term perfect square

Provide examples and explain why each is or is not a perfect square





Write a translation rule that maps point (7, –3) onto point (2, 5).


Harriet needs to ship a small vase. The box she will use has a volume of 216 cubic inches. If the side lengths are all the same, what is the length of each side of the box?



Using the numbers 5, 8, and 24, create a problem using no more than four operations (addition, subtraction, multiplication, division, square, square root, cube, cube root) where the solution will be an irrational number. Explain why the result of your operations is an irrational number.

Answers

Answer:

a perfect square is when a number is multiplied by itself. For example, 4*4=16.


16 is the perfect square


something like 20 would not be a perfect square because it is 5*4 and they are not the same number.

Step-by-step explanation:


Answer:

The product of a rational number multiplied by itself.

Step-by-step explanation:

9² = 9×9 which equals 81.  81 is the perfect square of 9 which can also be said that 9 is the square root of 81 or √81

Amara needs 4545 kilograms of meat to feed her 22 pet dragons each day. Each pet dragon eats the same amount of meat. How many kilograms of meat does Amara need to feed 44 pet dragons each day?

Answers

Answer:

9090 kilograms

Step-by-step explanation:

To find the number of kilograms per dragon, we divide the amount of meat by the number of dragons.

4545/22  kilograms per dragon

Now we can multiply by the 44 dragon that she has.

4545/22 * 44 = 9090 kilograms

Answer:

i believe your answer is 9090

Step-by-step explanation:


4545 =22 dragons each day

22 times 2=44

4545 times 2

9090

33 points

What did I do wrong for this equasion the answer cannot be a decimal

Thank you in advanced

Answers

Answer:

x=-5, y=-2

Step-by-step explanation:

6x+ 28 =y

5x-y=-23

Substitute 6x+28 in for y in the second equation

5 x-(6x+28)=-23

Distribute the negative sign

5x -6x-28 = -23

-x -28 = -23

Add 28 to each side

-x-28+28 = -23+28

-x = 5

Multiply by -1

x = -5

Now we need to solve for y

y = 6x+28

Substitute x=-5

y = 6(-5) + 28

y = -30+28

y = -2


HELP ASAP! WILL MARK

Answers

it's c, 2 and 2/5 must be the greatest the square root of 6 is 2.449 and 5/2 is 2.5

then just put it in order

The circumstances of Z is 84cm. What is the length of XY (the mirror arc)

Answers

Answer:

B

Step-by-step explanation:

arc length = circumference × fraction of circle

                 = 84 ×[tex]\frac{90}{360}[/tex] = 21 cm


which answer is equivalent to 25/36

Answers

Answer:

C.  [tex]\sqrt{\frac{25}{36} }[/tex]

Step-by-step explanation:

This comes from the property of exponents which says for any numbers [tex]a[/tex], [tex]b[/tex], and  [tex]c[/tex],

[tex](a*b)^c=a^c*b^c[/tex]

Since square roots are just exponents of [tex]\frac{1}{2}[/tex] power ([tex]\sqrt{x} =x^\frac{1}{2}[/tex]), and [tex]\frac{1}{x} =x^{-1}[/tex], we have

[tex]\frac{\sqrt{25}}{\sqrt{36} }=25^{\frac{1}{2} }*36^{-\frac{1}{2} }=25^{\frac{1}{2} }*(36^{-1})^{\frac{1}{2} }=(25*(36^{-1})})^{\frac{1}{2}[/tex]

[tex]=\sqrt{25*36^{-1}} =\sqrt{\frac{25}{36} }[/tex]

Which is choice C.

Answer:

the guy is correct

Step-by-step explanation:

i got it right on apex

If ABE is similar to ACD what is the value of AB

Answers

AB corresponds to AC. Both are the left diagonal lines of triangle ABE and triangle ACD. Both AB and AC are also the first two letters of ABE and ACD respectively

BE and CD correspond as well. They are the horizontal sides of the two triangles. BE and CD are the last two letters of ABE and ACD.

Set up the proportion below. Then solve for x

AB/AC = BE/CD

AB/(AB+BC) = BE/CD

x/(x+3) = 2/5

5x = 2(x+3)

5x = 2x+6

5x-2x = 6

3x = 6

x = 2

Answer: AB = 2

note how AB = x = 2, so AC = AB+BC = x+3 = 2+3 = 5. This forms the ratio AB/AC = 2/5 which is identical to the ratio BE/CD = 2/5

Final answer:

To find the value of AB in the similar triangles ABE and ACD, use the ratio of the corresponding sides.

Explanation:

Given that ∆ABE is similar to ∆ACD, we can write the ratio of the corresponding sides: AB/AC = AE/AD = BE/CD. Note that corresponding sides of similar triangles are proportional. Therefore, the value of AB can be determined by the ratio AB/AC.

For example, if the length of AC is 10 units and the ratio AB/AC is 3/5, we can find the length of AB by multiplying 10 by 3/5: AB = (3/5) * AC = (3/5) * 10 = 6 units.

So, the value of AB depends on the specific information given about the ratios of the sides of ∆ABE and ∆ACD.

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Write the first five terms of the geometri.c sequence in which a1 - 8 and the common ratio is 5/2.

Answers

Answer:


8 , 20, 50, 125, 625/2           option D

Step-by-step explanation:

Given that,

first term a₁ = 8

common ratio (r) = [tex]\frac{5}{2}[/tex]

We need to find the five  terms of the geometric progression

We know that the nth term formula :

aₙ = a₁rⁿ-¹

where a₁ is first term and r is the common ratio

n is the number of terms

Second term (n=2)

a₂ = 8*[tex](\frac{5}{2} )^{2-1}[/tex] = [tex]\frac{8*5}{2}[/tex] = 20

Third term (n = 3)

a₃ = 8*[tex](\frac{5}{2} )^{3-1} = 8*(\frac{5}{2} )^{2}  = (\frac{8*25}{4} ) = 50[/tex]

Forth term (n=4)

a₄ = [tex]8(\frac{5}{2} )^{4-1} = 8*(\frac{5}{2} )^{3}  = (\frac{8*125}{8} ) = 125[/tex]

Fifth term (n=5)

a₅ = [tex]8(\frac{5}{2} )^{5-1} = 8*(\frac{5}{2} )^{4}  = (\frac{8*625}{16} ) = \frac{625}{2}[/tex]

So, five terms are :

8 , 20, 50, 125, 625/2

Answer:

D right on edg 2020

Step-by-step explanation:

Work out 2 3/5 x 3 1/3

Answers

Answer:

26/3 or if you want it simplified its 8 2/3 im not sure if you need it in decimals so i thought id write it anyway   8.666667

Step-by-step explanation:

1) Conversion a mixed number to a improper fraction

2) Conversion the other mixed number to a improper fraction      

3)  Multiply both numerators and denominators. Result fraction keep to lowest possible denominator

The value of [tex]2 \frac{3}{5} * 3 \frac{1}{3}[/tex] = 263 = 8 23 ≅ 8.6666667.

Improper fraction.

Given:

[tex]2 \frac{3}{5} * 3 \frac{1}{3}[/tex]

1) Conversion of a mixed number to an improper fraction.

2) Conversion of the other mixed number to an improper fraction.    

3)  Multiply both numerators and denominators. The result fraction keeps to the lowest possible denominator.

Therefore, the value of [tex]2 \frac{3}{5} * 3 \frac{1}{3}[/tex] is 8.6666667.

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in a race there are 15 Runners the trophies for the race are awarded to the races finish and 1st through 3rd place and how many ways can first through third place be determined

Answers

There are 15 possibilities for first place, 14 for second, and 13 for third. 15 × 14 × 13 = 2730

Answer:

There are 2,730 ways that 1st, 2nd and 3rd place can be determined in the race

Step-by-step explanation:

There are 15 (number of runners) possibilities to determine the 1st place

There are 14 possibilities (number of runners - 1) to determine the 2nd place

There are 13 possibilities (number of runners - 2) to determine the 3rd place

Number of ways that 1st, 2nd and 3rd place can be determined = 15 * 14 * 13

Number of ways that 1st, 2nd and 3rd place can be determined = 2,730

A cheetah can run 224 miles in 3 1/2 hours how many miles per hour can the cheetah run?

Answers

you simply do 224÷3.5 to get miles per hour which is 64 so the cheetah can run 64 miles per hour.

Draw an array to show how to arrange 20 chairs into 5 equal rows

Answers

4 row of 5 to get 5 equal rows

What is the range of the relation
(-4,1),(-2,0),(8,-1)

Answers

Answer:

Range of the relation is,  {1 , 0, -1}

Step-by-step explanation:

Given: Relation R = {(-4, 1), (-2, 0) , (8, -1)}

To find the range of the relation R;

In the set of ordered pairs, the domain is the set of the  first number in every pair, and the range is the set of the second number of all the pairs.

Then;

Domain of the relation: {-4, -2, 8}

Range of the relation is; {1 , 0, -1}

therefore, the range of the relation is,  {1 , 0, -1}

Final answer:

The range of the given relation is {-1, 0, 1}

Explanation:

The range of a relation refers to the set of all possible output values of the relation. In this case, the relation consists of three ordered pairs: (-4, 1), (-2, 0), and (8, -1). To find the range, we need to determine the set of all possible second values (y-values) in the ordered pairs. The range of the relation is {-1, 0, 1}.

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What is the slip of a line that is parallel to the line -3

Answers

Answer:

-3

Step-by-step explanation:

Parallel lines have slopes that are the same.

 So if one line has a slope that is -3, any line that is parallel will have the same slope

A paper company produces 3,320 notebooks in 4 days. How many notebooks can it produce in 12 days?
A.
9,906
B.
1,992
C.
9,960
D.
3,139

Answers

Answer:

C. 9960

Step-by-step explanation:


The answer is C. 9,960

Match the following items by evaluating the expression for x = -6.

Answers

For x = -2  expressions yield 1/4 , -1/2 , 1 , -2 , 4 for x^-2 , x^-1 , x^0 , x^ 1 , x^2 .

Evaluating Expressions for x = -2

When we evaluate expressions containing variables, we substitute the given value for the variable into the expression and simplify. In this case, we're asked to evaluate the following expressions for x = -2:

x^-2

x^-1

x^0

x^1

x^2

1. x^-2

x^-2 represents the reciprocal of the square of x. Substituting x = -2, we get:

x^-2 = 1/(-2)^2 = 1/4

2. x^-1

x^-1 represents the reciprocal of x. Substituting x = -2, we get:

x^-1 = 1/-2 = -1/2

3. x^0

Any non-zero number raised to the power of 0 is 1. Therefore:

x^0 = 1

4. x^1

x^1 represents the value of x itself. Substituting x = -2, we get:

x^1 = -2

5. x^2

x^2 represents the square of x. Substituting x = -2, we get:

x^2 = (-2)^2 = 4

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The question probable may be:

Match the following items by evaluating the expression for

x = -2

. x^-2

x ^-1

x^0

x^1

x^2

How many 1 3/4 foot pieces of ribbon can be cut from a piece of ribbon that is 36 feet long?

Answers

Answer:

Approximately 20 complete pieces of 1 3/4 foot of ribbon can be obtained.

Step-by-step explanation:

You have a piece of ribbon 36 feet long that should be divided into pieces of 1 [tex]\frac{3}{4}[/tex] feet. In order to know the quantity of pieces of said measurement, the total length of the ribbon (36 feet) must then be divided by the desired measurement of each of the pieces (1 3/4 feet):

[tex]amount of pieces of ribbon=\frac{36}{1 \frac{3}{4} }[/tex]

1 [tex]\frac{3}{4}[/tex] is a mixed number. A mixed number or mixed fraction consists of a whole part (natural number) and a fractional part. All fractions greater than unity can be expressed as a mixed number.

To be able to make the division stated previously, it is convenient to pass the mixed number to an improper fraction (An improper fraction is a fraction in which the numerator is greater than or equal to the denominator). For this you multiply the denominator by the whole number. To the result, you must add the numerator. Then that number is placed over the original denominator. Expressed in general is:

[tex]a \frac{b}{c} =\frac{a*c+b}{c}[/tex]

In this case:

[tex]1 \frac{3}{4} =\frac{4*1+3}{4}=\frac{7}{4}[/tex]

Then the previously stated division is expressed as:

[tex]\frac{36}{\frac{7}{4} }[/tex]

One way to perform this division is to reverse the SECOND FRACTION, that is, change the denominator to the numerator and change the numerator to the denominator. Then, both numbers are multiplied.

[tex]\frac{36}{\frac{7}{4} } =36*\frac{4}{7}[/tex]

Given that 36 can be expressed as 36/1, the multiplication is done "online." That is, the numerator of the first fraction by the numerator of the second and the denominator of the first fraction by the denominator of the second.

[tex]\frac{36}{1} *\frac{4}{7} =\frac{36*4}{1*7} =\frac{144}{7}[/tex]

Now it will be passed from fraction to mixed number. For that, the numerator is divided by the denominator. The quotient of the division becomes the integer of the mixed number. The rest of the division is the numerator of the fraction. The denominator is the same as that of the fraction, being the divisor of the division.

When dividing 144 by 7 the quotient is 20, the remainder is 4 and the divisor is 7. Then the mixed number formed is [tex]20 \frac{4}{7}[/tex]

This indicates that approximately 20 complete pieces of 1 3/4 foot of ribbon can be obtained.

Answer

about 20 complete pieces can be cut

Step-by-step explanation:

An airplane flies 810 km in 1.5 hours. Find the constant of variation.

Answers

[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{\underline{d}istance of 810 km in 1.5 \underline{h}ours}}{d=kh} \\\\\\ \textit{we know that } \begin{cases} h=1.5\\ d=810 \end{cases}\implies 810=k(1.5)\implies \cfrac{810}{1.5}=k\implies 540=k[/tex]

Answer : The value of constant of variation is, 540

Step-by-step explanation :

As we know that,

[tex]\text{Distance}=\text{Speed}\times \text{Time}[/tex]

That means,

d = s × t

Here,

's' is constant of variation.

Given:

d = distance = 810 km

t = time = 1.5 hr

Now put the values in the above expression, we get:

d = s × t

810 km = s × 1.5 hr

[tex]s=\frac{810km}{1.5hr}=540km/hr[/tex]

Thus, the value of constant of variation is, 540

Find the common denominator by multiplying each fraction by the other fraction's denominator. Choose < or > for the blank.

3/5
[_]
3/8

Answers

> because 24/40 is larger than 15/40

The expression 3/8d+3/4 factored is

Answers

The answer would be  (3/8) (d+2)


The expression 3/8d + 3/4 is factored by first factoring out the common factor of 3, resulting in the factored form 3*(1/8d + 1/4).

The student's question involves the factoring of a linear algebraic expression. The given expression is 3/8d + 3/4, where 'd' is a variable. To factor this expression, we need to look for common factors in each term. Here, both terms contain a factor of 3, which we can factor out. This results in:

Factor out the common factor of 3: 3*(1/8d + 1/4).Recognize that 1/4 is equivalent to 2/8 in order to have a common denominator.Combine the two terms inside the parentheses: 3*(1/8d + 2/8).

Thus, the fully factored expression is 3/8d + 3/4 = 3*(1/8d + 1/4), with the understanding that 1/4 has been converted to 2/8 to have a common denominator.

Shelly types 301 words in 3 1/2 minutes what is the rate at which Shelly types in words per minute

Answers

Answer:

86 wpm

Step-by-step explanation:

You need to set up a proportion

x words in 1 minute301 words in 3.5 minutesx/1 = 301/3.5x = 301 / 3.5x = 86 words / minute

Answer:

86 words per minute

Step-by-step explanation:

You would divide 301 by 3 1/2 to find the unit rate. The answer will be 86. So Shelly types 86 words per minute.

PLEASE PLEASE HELP

Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30.
Let x represent the entry fee and y represent the cost of each ticket in dollars.
Write an equation representing how much Gwen paid.

Answers

Answer:

(Y × 10) + X = 30

hope it helps

Step-by-step explanation:

Y = Cost of each ticket

X = cost of entry fee

so he bought 10 tickets

so you multiply cost of each ticket ( y ) by 10

then you add the entry fee ( x ) to find the total cost ( $30 )

Write a function rule for the relationship. the amount c of energy you burn and the time t you spend exercising, if you burn Calories at a rate of 12 Cal/min

ct = 12

c = 12t

t = 12c

t= 12/c

Answers

Answer:

c= 12t

c is the amount of energy you burn, so it'll be the "solution" to the equation. Multiply 12 times the amount of time you spend exercising to find how much energy you'll burn.

Based on the polynomial reminder theorem, what is the value of the function when x= -5

F (x)= x^4 + 12x^3 + 30x^2 - 12x + 70

Answers

Answer:

-15

Step-by-step explanation:

Given is a polynomial in x

[tex]F (x)= x^4 + 12x^3 + 30x^2 - 12x + 70[/tex]

We have to find the remainder when the above polynomial is divided by x+5

Remainder theorem says that f(x) gives remainder R when divided by polynomial x-a means f(a) = R

Applying the above theorem we can say that value of the function when x =-5

= Remainder when f is divided by x+5

= F(-5)

Substitute the value of -5 in place of x

= (-5)^4 + 12(-5)^3 + 30(-5)^2 - 12(-5) + 70

= 625-1500+750+60+70

= 5

Hence answer is 5

Answer:

[tex]f(-5)=[/tex] 5

Step-by-step explanation:

According to the polynomial remainder theorem, when a polynomial f(x) is divided by a linear polynomial (x - a), the remainder of that division will be equal to f(a).

Therefore, substituting the value of x as -5 in the given function to find its value:

[tex]f(x)[/tex] = [tex]x^4 + 12x^3 + 30x^2 - 12x + 70[/tex]

[tex]f(-5)[/tex] = [tex](-5)^4 + 12(-5)^3 + 30(-5)^2 - 12(-5) + 70[/tex]

[tex]f(-5)[/tex] = [tex]625+(-1500)+750-(-60)+70[/tex]

[tex]f(-5)[/tex] = [tex]5[/tex]

Therefore, the value of the given function when x = -5 is 5.

is this right and if it's not could you please tell me the answer

Answers

Answer:

3x+ 5 = 6 . Correct.

Step-by-step explanation:

Let x = the number.

          The number tripled: 3x

Tripled and increased by : 3x + 5

                                Equals 6: 3x+ 5 = 6

Correct.

Is it possible to trisect any angle using only a compass and a straight edge

Answers


Hello from MrBillDoesMath!

Answer:

No. That problem cited is one of 3 great unsolved problems of antiquity. See  https://en.wikipedia.org/wiki/Angle_trisection for details.


Regards,  

MrB

P.S.  I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!


Answer:

NO , an angle is not trisected using only a compass and a straight  edge.

Step-by-step explanation:

We are given two tools a compass and a straight edge

We need to tell if an angle is trisected using them or not.

Answer is NO , an angle is not trisected using only a compass and a straight  edge.

When we draw a semicircle by point pointer of compass at vertex of angle and then draw a line using points we get when semicircle intersects the arms of the angle. We get angle Bisection.

We again try to bisect we get four equal angles not Three.

So It is impossible to make odd numbers of equal angles from a given angle using a compass and a straight edge.

Bailey has an hour to get ready for school he spends 3/6of that time getting dressed she spends 1/4of that time eating breakfast Bailey spend more time getting a dress or eating breakfast

Answers

Getting Dressed. She uses half her time getting dressed. :)

Final answer:

Bailey spends more time getting dressed, which is 1/2 of an hour (30 minutes), whereas she spends 1/4 of an hour (15 minutes) eating breakfast.

Explanation:

The question is asking which activity Bailey spends more time on in the morning: getting dressed or eating breakfast. Since Bailey has an hour to get ready, 3/6 of an hour is spent getting dressed, and 1/4 of an hour is spent eating breakfast.

First, we simplify the fraction for getting dressed, as 3/6 can be reduced to 1/2. Thus Bailey spends 1/2 hour or 30 minutes getting dressed. To find how much time is spent eating breakfast, we calculate 1/4 of an hour, which is 15 minutes.

Comparing the two, we see that Bailey spends more time getting dressed (30 minutes) than eating breakfast (15 minutes).

The entry fee to the fair is $4.00. Each ride requires a ticket that cost $0.50. Heidi spent a total of $12.00. How many ticket did Heidi purchase?

Answers

Heidi purchased 16 tickets

Answer:

16 tickets

Step-by-step explanation:

The entry fee ($4) is to be subtracted from the total that Heidi spent ($12).  This leads to $8 left for spending on tickets.


Let the number of tickets Heidi purchased be x.  Then:

$8.00 = ($.50/ticket)x.

Dividing both sides by $0.50,we get 16.

Heidi bought 16 ride tickets.

what is the value of the 3 in parenthases [3]45,423,912

Answers

Answer:

300,000,000

Step-by-step explanation:

change everything after the 3 to a zero, hope this is the answer you are looking for

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