Solve the pair of simultaneous equations
x = 4 - y
x = y + 2

Answers

Answer 1

(3,1)

x=3; y=1

Step-by-step explanation:

Algebraic

Answer 2

Answer:

The solution to this system of linear equations is (3, 1).

Step-by-step explanation:

Here we have two equations for x.  We can eliminate x by setting these two equations equal to one another, obtaining 4 - y = y + 2, or 2 = 2y

Then y must be 1.  Substituting this into the first equation, we get x = 4 - 1 = 3.

The solution to this system of linear equations is (3, 1).


Related Questions

**QUESTION**
Which of the statements about the y-axis are true?

**STATEMENTS**
I. The y-axis is a vertical number line that passes through the origin.
II. The y-axis intersects the x-axis at the point (0 , 0).
III. The y-axis is the first coordinate in an ordered pair that describes the vertical distance from the origin.
IV. The y-axis is a horizontal number line that passes through the origin.

**OPTIONS**
I and II
B.
I only
C.
IV only
D.
II and IV

Answers

Answer:

I.

II.

One and two are the correct ones

Step-by-step explanation:

Y goes up and down

X is side to side

so

x comes first in an ordered pair.

(I remember that by saying, "You need to find the room before you can ride the elevator)

Use exponents to write each expression. Then evaluate the expression. 3x3x3x3x3

Answers

Step-by-step explanation:

3 to the power of 5

3^5

= 3x3x3x3x3

= 243

Answer:

243

Step-by-step explanation:

3^5=243

Raisins and nuts were mixed in a bowl. If nuts made up five eighths of the mixture, what was the ratio of raisins to nuts

Answers

Answer:

3/8

Step-by-step explanation:

hope this helped

Mr. Glenn is making 30 school supply baskets. notepads come in packs of 5. Erasers come in packs of 15 and markers come in packs of 3. what is the least number of each package she should buy to have 1 item in each basket and no supplies left over

Answers

He will need 6 packs of notepads, 2 packs of erasers, and 10 packs of markers.

30/5=6
30/15=2
30/3=10

12>-2(y-4) solve the inequality

Answers

[tex]12>-2(y-4)\\\\\implies -\dfrac{12}2 <y-4~~~;[\text{Dividing by a negative number, so reverse the inequality.}]\\\\\implies -6<y-4\\\\\implies -6+4<y\\\\\implies -2<y\\\\\implies y>-2\\\\\text{Interval,}~ (-2,\infty)[/tex]

Janie walked 10 miles. Then she walked 15
that distance. How far did she wall all together? Select all that apply.
E. , 10 × 45
B. , 10 ×15
D. 10(1 + 15)
C. 10 +15×10
A. 10 + 15
F. 10×65

Answers

The answer is letter C
The answer is:

C and D


Explanation;

Janie walked 10 miles first.

Then they walked 15 times the original 10 miles.

When you place that in a calculation, it looks like this:

10miles + (15 x 10miles)

Which is basically 10 + 15 x 10.
= 160

With D, you just use multiplication.

10 x 1 = 10
10 x 15 = 150

= 160

Write the formula of the sinusoidal function (CORRECT ANSWER WILL BE MARKED BRAINLIEST)

Answers

Answer:

The equation of a basic sine function is f(x)=sinx. In this case b, the frequency, is equal to 1 which means one cycle occurs in 2π. If b=12, the period is 2π12 which means the period is 4π and the graph is stretched.

Step-by-step explanation:

I need help with this. 2 to the 6 power, +2 to the 3 power, raised to the 3 power. Please tell me the steps you took to get the answer. and happy. Christmas Eve

Answers

Answer: 576

Step-by-step explanation:

(I just know the powers of smaller numbers by memory so...)

2^6(2x2x2x2x2x2) = 64

You can simplify the second part( 2^3^3) by just multiplying the powers, 3x3 = 9 and 2^9 = 512

Final answer = 512 + 64 = 576

[tex]\\ \sf\Rrightarrow 2^6+(2^3)^3[/tex]

[tex]\\ \sf\Rrightarrow 2^6+2^9[/tex]

[tex]\\ \sf\Rrightarrow 64+512[/tex]

[tex]\\ \sf\Rrightarrow 576[/tex]

Option A is correct

A culture of bacteria has an initial population of 74000 bacteria and doubles every 3 hours. Using the formula
P
t
=
P
0

2
t
d
P
t

=P
0

⋅2
d
t


, where
P
t
P
t

is the population after t hours,
P
0
P
0

is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 13 hours, to the nearest whole number?

Answers

Using an exponential function, it is found that the population of bacteria in the culture after 13 hours is of 1,491,747.

An exponential function, with a doubling time of d, after t hours, is given by:

[tex]A(t) = A(0)(2)^{\frac{t}{d}}[/tex]

In which A(0) is the initial amount.

In this problem:

The doubling time is of 3 hours, hence [tex]d = 3[/tex].The initial population is of 74000 bacteria, hence [tex]A(0) = 74000[/tex].

Then:

[tex]A(t) = A(0)(2)^{\frac{t}{d}}[/tex]

[tex]A(t) = 74000(2)^{\frac{t}{3}}[/tex]

After 13 hours:

[tex]A(13) = 74000(2)^{\frac{13}{3}} = 1491747[/tex]

The population of bacteria in the culture after 13 hours is of 1,491,747.

To learn more about exponential functions, you can take a look at https://brainly.com/question/25958656

What is the volume of the container

Answers

Answer:

1468 in

Step-by-step explanation:

1) Find volume of entire figure

10*10*15=1500

2) Find volume of small piece that is cut out

2*4*4=32

3) Subtract smaller number from bigger number

1500-32=1468

Answer:

1,468 [tex]in^{3}[/tex]

Step-by-step explanation:

Volume = length * base * height

Volume = 10 * 10 *15

10 * 10 *15 = 1500

To get the object with a portion taken off, you would find the volume of the chunk taken off and subtract it from the whole object.

4 * 4 * 2 =32

1500-32 = 1468 in^3

the sum of six and two times a number is one

Answers

Answer:

Equation: 6+2x=1

Step-by-step explanation:

Sum means addition and just add an x for the 2 times a number and set it equal to 1.

A cylinder has a height of 7 centimeters and a diameter of 24 centimeters. What is its volume?

Answers

Answer:

[tex]to \: know \: \: the \: solution[/tex]

[tex]refer \: to \: the \: attatchment[/tex]

I hope this helps you !!

Find the coefficient of z^3 in -7xy^2z^3

Answers

Answer:

z^3 in -7xy^2z^3 = -117649/1 = -117649

Step-by-step explanation:

I think sorry if wrong

TA penny is dropped from a height of
196 feet off a bridge. The function
d=-161? + 196 models the distance din
feet the penny is from the surface of the
water at time t seconds. Graph this
function. Then use your graph to estimate
the time it will take for the penny to reach
the water. (Examples 3 and 4) 3.5 sec,
225
200
175
150
125
100
75
50
25
0
1 1 2 3 4 5 6 7 8 9

Answers

The penny reaches the water at 3.5 seconds

The height function is given as:

[tex]d = -16t^2 + 196[/tex]

(a) Graph the function

See attachment for the graph of the function

(b) Time to reach the water

From the graph, the curve of [tex]d = -16t^2 + 196[/tex] crosses the x-axis at points t = -3.5 and t = 3.5

But the time (t) cannot be negative.

Hence, the penny reaches the water at 3.5 seconds

Read more about height functions at:

https://brainly.com/question/10837575

26 kg of potatoes cost $210.60. How much would 6 kg cost?

Answers

Answer:

$48.6

Step-by-step explanation:

We have to use Unitary Method, means, we'll first have to find cost of one unit.

26 Kg ---------> $210.601 Kg ---------> $210.60 / 266 Kg ---------> $210.60/26 x 6 = $48.6

Hope it helps :)

Find all the numbers for each shape

Answers

Answer:

1 = pentagon2 = diamond3 = square5 = circle6 = rectangle7 = oval8 = triangle9 = hexagon10 = trapezoid

Step-by-step explanation:

Each half of a hanger divides the total weight in half. The right-most vertical has a total weight of 80/16 = 5. It consists of a square and a diamond, and we know the square is 1 more than the diamond. That means 2 diamonds weigh 5 -1 = 4. A diamond weighs 2, and a square weighs 3. The other half of that balance is a circle, which weighs 5.

The total of a square and oval is 10, so the oval is 10 -3 = 7. The two trapezoids weigh 20, so each is 10.

The second vertical from the left is a circle and diamond which will weigh 5+2 = 7. That makes the sum of a pentagon and rectangle also be 7. The 7+7 = 14 below the square on the left branch makes the total of that branch be 14+3 = 17, which is also the sum of the triangle and hexagon.

The weight below the rectangle at top left is 17+17 = 34, and the weight of that entire branch is 40. Thus the rectangle is 40-34 = 6, which makes the pentagon 7-6 = 1.

We require the sum of the triangle and hexagon be 17, with the triangle being the smaller value, and both being 9 or less (the trapezoid is the only figure weighing more than 9). Hence the triangle is 8 and the hexagon is 9.

The weights are summarized in the answer section, above.

what is the solution for x^0.5logx=0.01x^2 ?

Answers

Answer:

x1= 100 x2=99.999

Step-by-step explanation:

[tex]x^{0.5\log _{10}\left(x\right)}=0.01x^2[/tex]

[tex]0.5\log _{10}\left(x\right)\log _{10}\left(x\right)=\log _{10}\left(0.01\right)+2\log _{10}\left(x\right)[/tex]

u=log(x)

[tex]0.5uu=\log _{10}\left(0.01\right)+2u[/tex]

[tex]u=2+\sqrt{1.0E-15},\:u=2-\sqrt{1.0E-15}[/tex]

[tex]x=10^{2+\sqrt{1.0E-15}},\:x=10^{2-\sqrt{1.0E-15}}[/tex]

What is the value of (2/3)2?

Answers

Answer:

2/3(2)

=(2/3)(2/1)

=(2*2)/(3*1)

=4/3

Step-by-step explanation:

Answer:

4/3

Step-by-step explanation:

(2/3)2

(2/3)(2/1)=4/3

Which graph best represents the solution to this system of inequalities?

A.
B.
C.
D.

Answers

Answer:

letter A po

Step-by-step explanation:

thanks for brain less

She received 900 beads, and 10% of them were green. How many green beads did Liz receive?

Answers

Answer:Liz received about 90 beads that were green.Step-by-step explanation:900 x 10/100 = Total green beads=> 9 x 10 = Total green beads=> 90 = Total green beadsConclusion:

Therefore, Liz received about 90 beads that were green.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

Answer:

90

Step-by-step explanation:

10 is 10% of 100 so then 10 times 9 = 90.

branliest




Solve.

−4/15x=1.44

Enter your answer as a mixed number in simplest form in the box.

x =

Answers

1 Simplify \frac{4}{15}x

15

4

x to \frac{4x}{15}

15

4x \frac{4x}{15}=1.44

4x =1.44

2 Multiply both sides by 1515.

4x=1.44\times 15

4x=1.44×15

3 Simplify 1.44\times 151.44×15 to 21.621.6.

4x=21.6

4x=21.6

4 Divide both sides by 44.

x=\frac{21.6}{4}

x= 4

21.65 Simplify \frac{21.6}{4} 421.6 to 5.45.4.

x=5.4

x=5.4

The value of x for the given equation in the mixed fraction will be -4 7/5.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.]

It is given that,−4/15x=1.44

Solve the equation for x,

x= -1.44 × 15/4

Convert the decimal values into the fraction as

x=-144/100 × 15/4

x= -27/5

A mixed number is one that includes both a correct fraction and a full number. Convert the given number into the mixed number as

x=-4 7/5.

Thus, the value of x for the given equation in the mixed fraction will be -4 7/5.

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ2

Which of the following expressions has a ''x'' term with a coefficient of 1?
x² + 5x + 1

3x² - x - 4

5x² + x - 9

4x²- 7x + 1​

Answers

It would be A




it had to be 20 characters lol

PLS HELP ASAP. QUESTION IN PICTURE

Answers

Answer:

80

Step-by-step explanation:

180 - 100 = 80

(Meeting character limit)

Answer is
40+60= 100 + x = 180
so x = 80

180-80= 100

A Coke can has a radius of 4 cm and a height of 11 cm. What is the volume of the can?

Answers

Answer:

V ≈ 552.9 cm³

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = πr²h ( r is the radius and h the height ) , then

V = π × 4² × 11 = π × 16 × 11 = 176π ≈ 552.9 cm³ ( to the nearest tenth )

Answer:

The volume of Coke can is 552.64 cm².

Step-by-step explanation:

Given :

✧ Radius of Coke can = 4 cm.✧ Height of Coke can = 11 cm.

To Find :

✧ Volume of Coke can

Using Formula :

[tex]{\star{\small{\underline{\boxed{\sf{\red{V_{(Can)} = \pi{r}^{2}h}}}}}}}[/tex]

✧ V = Volume ✧ π = 3.14 ✧ r = radius ✧ h = height

Solution :

Here's the Coke can is in cylindrical form.

So, finding the volume of Coke can by substituting the values in the formula :

[tex]{\dashrightarrow{\pmb{\sf{Volume_{(Can)} = \pi{r}^{2}h}}}}[/tex]

[tex]{\dashrightarrow{\sf{Volume_{(Can)} = 3.14 \times {(4)}^{2} \times 11}}}[/tex]

[tex]{\dashrightarrow{\sf{Volume_{(Can)} = 3.14 \times {(4 \times 4)}\times 11}}}[/tex]

[tex]{\dashrightarrow{\sf{Volume_{(Can)} = 3.14 \times {(16)}\times 11}}}[/tex]

[tex]{\dashrightarrow{\sf{Volume_{(Can)} = 3.14 \times {16}\times 11}}}[/tex]

[tex]{\dashrightarrow{\sf{Volume_{(Can)} = \dfrac{314}{100} \times {16}\times 11}}}[/tex]

[tex]{\dashrightarrow{\sf{Volume_{(Can)} = \dfrac{314 \times 16 \times 11}{100}}}}[/tex]

[tex]{\dashrightarrow{\sf{Volume_{(Can)} = \dfrac{5024 \times 11}{100}}}}[/tex]

[tex]{\dashrightarrow{\sf{Volume_{(Can)} = \dfrac{55264}{100}}}}[/tex]

[tex]{\dashrightarrow{\sf{Volume_{(Can)} \approx 552.64 \: {cm}^{2}}}}[/tex]

[tex]\star{\red{\underline{\boxed{\sf{Volume_{(Can)} \approx 552.64 \: {cm}^{2}}}}}}[/tex]

Hence, the volume of Coke can is 552.64 cm².

Please help and quickly please and 20 points with brainelest




Thank you

Answers

Answer: The answer is B. 34

Step-by-step explanation:

3(12−9)+5^2

=(3)(3)+5^2

=9+5^2

=9+25

=34

Answer:

The answer is 34

Step-by-step explanation:

Order of operation is P.E.M.D.A.S. , or parenthesis, exponents, multiplication or division, then addition or subtraction.

3(12-9)+5²   Parenthesis3(3)+5²   Exponents3(3)+25   Multiplication9+25   Addition34   Answer

Which of the following groups cannot represent the side lengths of a triangle.
A.49,20,17
B.7,11,16
C.9,13,21
D.30,9,27

Answers

Answer:

try B for an answer, hope it helps

Two shops, Waitroze and Budgins sell the same brand of cans of soup but with different offers.
Calculate the price for 24 tins at each shop.
Waitroze = 8 for £3.35
Budgins = 6 for £2.89

Answers

Answer:

24 cans at Waitrose would be £10.05.

24 cans at Budgins would be £11.56.

Step-by-step explanation:

Times the waitrose offer by 3

Times the budgins offer by 4

Hope that helped. x

You are virtually racing against your friend who lives on Spain where they use the metric system. You measured that you ran 430 feet per minute and your friend measured that they ran 6.5 kilometers per hour. Which of you is faster?

Answers

Pretty sure the friend ran faster (wait for more answers I’m not sure)

Hep I’ll choose brainliest!!

Answers

Answer:

7

Step-by-step explanation:

3x - y = 1

2x + 2y = 14

x = 2

y =  5

x + y = 2 + 5 = 7

the answer is 7 because x = 2 and y = 5 , 3 x 2 = 6 -5=1 and 2 + 5 = 7

HELP. GIVING BRAINLIST. BRAINLIST. DONT MESS AROUND PLEASE IM DESPERATE.

Answers

Answer:

make me brain list

thank u

Step-by-step explanation:

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