x - y = 3 x + y = 5 Which of the following systems is equivalent to the given system? 2x - y = 18 and x + 2y = 10 4x - 3y = 18 and x + 2y = 10 2x - 3y = 3 and x + 2y = 5

Answers

Answer 1
Final answer:

The equivalent system to given equations is: 2x - y = 3 and x + 2y = 5. We assess this by finding the solution of the given system (x = 4, y =1) and verifying these values in all given options.

Explanation:

The given system is: x - y = 3 and x + y = 5. To find an equivalent system, we need to find a system that has the same solution as the given one.

If we add these two equations, we have 2x = 8, so x = 4. If x = 4, we can put x = 4 into the second equation 4 + y = 5, hence y = 1.

Now we test these solutions in the given options. After testing, we find that the equivalent system is: 2x - y = 3 and x + 2y = 5.

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Related Questions

What is x^5 Y^6 expressed in simplified form?

Answers

Answer:

Nothing further can be done to this.

Step-by-step explanation:

There is nothing further that can be done with this equation.

Final answer:

The expression x^5 Y^6 doesn't simplify further as the bases differ. It means that 'x' is multiplied by itself five times, and 'y' is multiplied by itself six times.

Explanation:

The expression x^5 Y^6 is already in simplest form. Expressed in plain English, this represents 'x' raised to the power of 5, multiplied by 'y' raised to the power of 6. The exponents here denote that we are multiplying 'x' and 'y' by themselves for a specific number of times. For example, 'x' is multiplied by itself five times, and 'y' is multiplied by itself six times, as represented by this expression.

I want to let you know that the exponents are not to be combined in any way because the bases (x and y) are different. In other words, x^5 and Y^6 remain separated in expression. They cannot be simplified further.

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How can i solve this solution a/b=c for b?​

Answers

a/b=c

By mutiplying both side by b and multiplying both side by 1/c we will get:

b=a/c

Answer:

b = a ÷ c

Step-by-step explanation:

Here,

a ÷ b = c is given

Now, For b

a ÷ b = c

b = a ÷ c

Thus, The answer is b = a ÷ c

-TheUnknownScientist

A right circular cylinder has a base radius of 56 mm and a height of 128 mm. What is its volume in cubic centimeters? Round the answer to the nearest hundredth. use 3.14 for π

Answers

Answer:

V = 1261 mm2

Step-by-step explanation:

Hello

V = Pi*(r^2)*h

V = Pi*([56]^2)*(128=

V = 1261 mm2

Best regards

Final answer:

The volume of the right circular cylinder is approximately 1,261,852.32 cubic centimeters (rounded to the nearest hundredth).

Explanation:

To find the volume of a right circular cylinder, we use the formula:

V = πr2h

where V is the volume, π is the value of pi (approximately 3.14), r is the base radius, and h is the height. Plugging in the given values:

V = 3.14 * 562 * 128

V ≈ 3.14 * 3136 * 128

V ≈ 3.14 * 401,408

V ≈ 1,261,852.32

Therefore, the volume of the right circular cylinder is approximately 1,261,852.32 cubic centimeters (rounded to the nearest hundredth).

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Seven values on the number line are marked with letters match the opposites

Answers

The answer to this is A and E, W and X, C and P

A is -7

E is 7

These are opposite

W is -5

X is 5

These are opposite

B is -3

C is 3

These are opposite

The answer is A

Answer:

A. A and E, W and X, C and P

Step-by-step explanation:

The opposite of any number (let's call it "x") is a number which, if added to x, results in 0.

Typically is -x, because x + (-x) = x - x = 0

Knowing these, let's see the values that are marked:

A = -7

W = -5

C = -3

B = 1

P = 3

X = 5  

E = 7

The opposite of 7 is -7, so A and E are opposites.

The oposite of 5 is -5, so X and W are opposites

The opposite of 3 is -3, so P and C are opposites.

The opposite of 1 is -1, but -1 is not marked.

The correct answer is the first one.

the sum of two odd consecutive numbers, the greater of which is equal to 2n+1.

Answers

Answer:

43 and 41

Step-by-step explanation:

2n-1+2n-3=84

4n-4=84

4n=88

n=22

2(22)-1 and 2(22)-3

44-1 and 44-3

43 and 41

write these numbers according to the directions (in least to greatest form) and you get the numbers 41 and 43.

.

Odd integers can be written in as 2n-1, 2n+1, 2n+3 and so on. Basically, by writing 2n, you guarantee an even integer and when you add an odd integer to an even integer, you get an odd integer. Try using 2n-1 and 2n+1 as your consecutive odd integers and you will get the same solution.

What is the volume of the prism

Answers

The volume of a rectangular prism or cube is: Length × Width × Height

In this case,

- the length of the prism is 2 feet

- the width of the prism is 1.5 feet

- the height of the prism is 1.5 feet

Multiply the above to find the volume: 2 × 1.5 × 1.5 = 4.5 ft³

Keep in mind that volume is represented in cubic units!

[tex]\text{Hey there!}[/tex]

[tex]\text{Formula: v = lwh}[/tex]

[tex]\text{l = length}\\\text{w = width}\\\text{h = height}[/tex]

[tex]\text{L = 2}[/tex]

[tex]\text{W = 1}\frac{1}{2}\text{ also known as 1.5}[/tex]

[tex]\text{H = 1}\frac{1}{2}\text{ also known as 1.5}[/tex]

[tex]\text{1}\frac{1}{2}\times1\frac{1}{2}\text{ = }\frac{3}{2}\times\frac{3}{2}=2\frac{1}{4}[/tex]

[tex]4\frac{1}{2}\times2=4\frac{1}{2}[/tex]

[tex]\boxed{\boxed{\bf{Answer: Fraction\rightarrow4\frac{1}{2}ft^2\ \& Decimal: 4.5ft^2}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

What is the circumference of the circle? Show steps please!

Answers

Area = r^2 x PI

to find r take the square root of the area:

r = √100 = 10

The circumference of a circle is the diameter times PI.

The diameter is 2 times r = 2 x 10 = 20

The circumference = 20PI m

The answer is C.

A store has apples on sale for $28.00 for 8 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $168.00? Complete the explanation.

The cost per pound of the apples on sale is $
.
You can buy
pounds of apples for $168.00.
Since 1 pound = 16 ounces, so there are about
apples in each pound.
You can buy approximately
apples for $168.00.

Answers

Find the number of apples in 8 pounds:

8 pounds x 16 ounces per pound = 128 ounces.

Divide total cost by cost for 8 pounds:

168 / 28 = 6

Multiply 6 by 128 ounces:

128 x 6 = 768 total ounces for $168.

Now divide total ounces by 5 ounces per apple:

768 / 5 = 153.6, round up to 154 apples.

Answer:

For $168 you could buy approximately 48 pounds of apples.

Step-by-step explanation:

Name the property the equation illustrates

Answers

can you put a picture of the problem so i know what you need help with please

unfortunately, there is no chart below, so we can't help

Help! Please! Brainliest answer offered!!

Answers

your answer is 1 :) hope this helps

Answer:

It's B) 1

Step-by-step explanation:

(3)(2x)+(3)(−1)=( 1 2 )(4x)+( 1 2 )(−2)+2(Distribute)

6x−3=2x+1

6x−3−2x=2x+1−2x

4x−3=1

4x−3+3=1+3

4x/4 = 4/4

x = 1

i know confusing

A large round pizza has a diameter of 14 inches what is the approximate area of the pizza

Answers

The area of a circle is found using the equation A = πr^2

r is the radius which is 1/2 the diameter

r = 14 /2 = 7

Area = π7^2

Area = 49π

Using 3.14 for π

Area = 49 x 3.14

Area = 153.86 square inches.  Round the answer as needed.

Final answer:

To find the area of a large round pizza with a diameter of 14 inches, use the formula A = (7 inches), which is half of the diameter, to find the area, resulting in approximately 153.86 square inches.

Explanation:

The area of a circle is calculated using the formula A = case and simplify the expression since the radius has only two significant figures. Utilizing an approximation for pi ( case 3.14), the area can be calculated as follows:

A = (3.14) (7 in) (7 in) approximately 3.14 (49 in²) approximately 153.86 in². Therefore, the approximate area of the pizza is 153.86 square inches.

Which of the following points is a solution of y > |x| + 5?

(0, 5)
(1, 7)
(7, 1)

Answers

Answer:

[tex]\large\boxed{(1,\ 7)}[/tex]

Step-by-step explanation:

[tex]|a|=a\ \text{for}\ a\geq0\\\\|a|=-a\ \text{for}\ a<0\\\\\text{Examples}\\\\|3|=3,\ |1.6|=1.6\\|-3|=-(-3)=3,\ |-1.6|=1.6\\===================[/tex]

[tex]y>|x|+5\\\\\text{Put the values of x and y from the coordinates of the points and check inequality}\\\\(0,\ 5)\to x=0,\ y=5\\5>|0|+5=0+5=5\qquad\text{FALSE\ :(}\\\\(1,\ 7)\to x=1,\ y=7\\7>|1|+5=1+5=6\qquad\text{CORRECT\ :)}\\\\(7,\ 1)\to x=7,\ y=1\\1>|7|+5=7+5=12\qquad\text{FALSE :(}[/tex]

If a/4 = 2/3, then (a - 4) would equal

Answers

Answer:

Step-by-step explanation:

First, evaluate a in the given equation a/4 = 2/3.

Cross-multiplying, we get 3a = 8, and then a = 8/3.

Then a - 4 would be 8/3 - 4, or 8/3 - 12/3, or -4/3 (answer)

3O POINTS!!!

3x2 - 36 ÷ y - (5 + 16)

What is the value of the expression when x = 7 and y = 6?

A.
120
B.
15
C.
2
D.
152

Answers

Answer:

A 120

Step-by-step explanation:

3x^2 - 36 ÷ y - (5 + 16)

Let x = 7 and y =6

3(7)^2 - 36 ÷ 6 - (5 + 16)

PEMDAS

Parentheses first

3(7)^2 - 36 ÷ 6 - (21)

Exponents

3*49 - 36 ÷ 6 - (21)

Multiplication and division from left to right

147 - 6 -21

Addition and subtraction from left to right

120

Which of the following could represent
the unit side lengths of a right triangle?
A 8,8; 16
C 12, 24, 36
B 2,4,5
D 8, 15, 17

Answers

Answer: D

Step-by-step explanation:

8²+15²=17²

If a = 22 ft, b = 10 ft, and c = 14 ft, what is the surface area of the geometric shape formed by this net?


A: 470 sq ft.

B: 580 sq ft.

C: 588 sq ft.

D: 668 sq ft.

Answers

Answer:

answer is 580 sq. ft.

Step-by-step explanation:

QUICK PLEASE !!!!!
Find the equation of the linear function represented by the table below in slope-intercept form.

Answers

Answer:

y = 3x + 3

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

==============================================

From the table we have :

x = 1 → y = 6

x = 2 → y = 9

x = 3 → y = 12

x = 4 → y = 15

Calculate the slope (choice any two pairs, and calculate the slope):

(1, 6), (2, 9)

[tex]m=\dfrac{9-6}{2-1}=\dfrac{3}{1}=3[/tex]

We have the equation:

[tex]y=3x+b[/tex]

Put the coordinates of the point (1, 6) to the equation, and solve it for b:

[tex]6=3(1)+b[/tex]

[tex]6=3+b[/tex]              subtract 3 from both sides

[tex]3=b\to b=3[/tex]

Finally:

[tex]y=3x+3[/tex]

Given the geometric sequence where a1 = 5 and the common ratio is −3, what is the domain for n?

Answers

Answer:

Domain: all integers where n ≥ 1

Step-by-step explanation:

We are given that a geometric sequence has [tex]a_1 = 5[/tex] and the common ratio [tex]r=-3[/tex].

We know that the general form of a geometric sequence is given by:

[tex]a_n=ar^{n-1}[/tex]

Substituting the given values in it to get:

[tex]a_n=5(-3)^{n-1}[/tex]

Now writing it as a function:

[tex]f(n)=5(-3)^{n-1}[/tex]

[tex]f(1)=5[/tex]

So the geometric series starts from n = 1, therefore the domain = n≥1

Probability: If you roll a regular 6-faced die 1200 times, about how many times would you expect to get a 4?​

Answers

If you roll a six sided dice once, each outcome has a 1/6 probability.

This means 4 has a 1/6 probability.

If you roll a dice 1200 times....

1200 × 1/6 = 1200/6 = 200

You would expect to get a 4 200 times.

Answer:

200

Step-by-step explanation:

Divide 1200 by 6.

Write the percent as a decimal
0.35%

Answers

Answer:

0.35 = 35%

Step-by-step explanation:

Move the decimal point two places to the right: 0.35 → 3.5 → 35.

Add a % sign: 35%

Answer 0.35 = 35%

Answer: 35

Step-by-step explanation: move the decimal right two spaces

I need to know the answer for reasons.​

Answers

Answer:Yes may I know what answer you are trying to explain?

Step-by-step explanation:

I dont get ot im not that smart plzz someone help me plzz​

Answers

Note:

dont worry about not understanding something! im sure with time and practice youll understand. math may not be your best subject, but youll get the hang of this soon. :')

also, i apologize if this answer is wrong. i havent done this in a while and im not 100% sure on my work accuracy.

Answer:

3.

Step-by-step explanation:

Count the number of 'x' symbols are above each number.

There are:

two 1/6 pieces (total of 2/6)

two 1/3 pieces (total 2/3)

three 1/2 pieces (total 3/2 aka 1 and 1/2)

four 2/3 pieces (total 8/3 aka 2 and 2/3)

one 5/6 piece (total 5/6)

Since we know that halves and thirds can be divided into sixths, we'll have to set all the denominators into sixths by multiplying. The numbers are in the same order as above.

2/6 * 1/1 = 2/6

2/3 * 2/2 = 4/6

1 and 1/2 * 3/3 = 1 and 3/6 (only multiply the fraction if it is a fraction and a whole)

2 and 2/3 * 2/2 = 2 and 4/6

5/6 * 1/1 = 5/6

Next we'll add together all the WHOLE numbers.

1 + 2 = 3

Now add all the fractions. Remember, only add the numerators, the denominator stays the same in adding.

2/6 + 4/6 + 3/6 + 4/6 + 5/6 = 18/6

Simplify the fraction.

18/6 = 3.

jayden's old washing machine took 31 1/2 minutes to wash a load. He bought a new washing machine that takes 10% longer. How long does jayden's new washing machine take to wash a load?

Answers

Answer:

28.35

Step-by-step explanation:

10 percent of 31.5 = 3.15

31.5

-3.15

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

28.35

Answer:

34.45 minute or 34 and 9/20 minutes

Step-by-step explanation:

10 percent of 31.5 is 3.15

And 31.5+3.15=34.45

We add because it is 10% longer.

Divide 120 in the ratio of 1:2

Answers

Ratio given 1:2

Let's suppose the ratio as x : 2x

Adding the ratio = 3x

[tex] \frac{x}{3x} \times 120 \\ =40[/tex]

[tex] \frac{2x}{3x} \times 120 \\= 80[/tex]

40 and 80 are in the ratio 1:2 of 120.

Hope it helps!!!

40 and 80 are in the ratio of 1:2 of 120.

Hope this helps!

53÷12=4R5 show equation ​

Answers

Answer:

53 divided by 12 is 4.4167

Step-by-step explanation:

Factor completely.

48y^2 + 82y – 70

please help and show work. super confused :P

Answers

Answer:

2(8y-5)(3y+7)

Step-by-step explanation:

48y^2 + 82y – 70

2(24y^2+41y-35)

(8y-5)(3y+7)

2(8y-5)(3y+7)

Hope this helps! :)

find the volume of the cylindrical to the nearest cubic foot that has a hieght of 3 ft and a radius of 5 ft

Answers

Answer:

The volume of cylinder is 235.5 feet³

Step-by-step explanation:

We know that

Volume of cylinder = πr²h

Putting the values

Volume of cylinder = 3.14* 5² * 3

Volume of cylinder =  235.5 feet³

Answer:

235.5 or 236

Step-by-step explanation:

Help me please answer as quickly as possible

Answers

Answer:   B) (-x, y)

Step-by-step explanation:

If a coordinate is reflected across the y-axis, the y-coordinate stays the same but the x-coordinate changes signs.

Consider (1, 2) as the original point.  Now reflect it across the y-axis.  The new coordinate is (-1, 2). The y-coordinate stayed the same (2) but the x-coordinate changed signs (1 → -1).

Find the volume of a cylinder with a diameter of 12 inches and a height that is three times the radius.

Answers

V =pie r2 h

= 22/7 *6*6*18

= 2036.57

can u help me with unit rates​

Answers

Answer:

sure

Step-by-step explanation:

unit rates are similar to rates.

rates are : 20/2

and unit rates are very similar: 10/1

unit rates are never 5/4, 6/10, 9/2, or 3/2 because unit rates are always loney and single having the denominator one

ex: 2/1, 4/2, 6/2, 8/2, 10/2

2/1 in the sequence is the only unit rate. and remember there can not be more than one unit rate in a sequence.

plz give me a brainliestttttt

Answer:

Unit Rates are any numbers over one.

For example:

A car is driving 60 miles per hour. So that is a unit rate because it is expressed over one.60/1

Step-by-step explanation:

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