Solve the equation for x.​

Answer:

y = -5x + 3.

Step-by-step explanation:

We can find the point of intersection by solving the system:

y = 2x + 3  ....  1

x + y = 3   ......  2          from this:

y = 3 - x   ....... .3

Equating equations 1 and 3:

2x + 3 = 3 - x

3x = 0

x = 0 so y = 2(0) + 3 = 3.

So the point of intersection is (0, 3).

So the required equation has slope -5 and passes through (0, 3) and,  using the point-slope form of a straight line, we have:

y - 3 = -5(x - 0)

y - 3 = -5x

y = -5x + 3.

Answer: [tex]3\times \dfrac{P}{3}=P[/tex]

Step-by-step explanation:

Given

The perimeter of one equilateral triangle is P

The lengths of the equilateral triangle are equal

Suppose x is the length of each side

[tex]\therefore 3\times x=P\\\\\Rightarrow x=\dfrac{P}{3}[/tex]

i.e.

[tex]\Rightarrow 3\times \dfrac{P}{3}=P[/tex]

Answer:

using pythagoras theorem

a^2+b^2=c^2

8^2+x^2=(x+2)^2

64+x^2=x^2+2*x*2+2^2

64+x^2=x^2+4x+4(here x^2 of left hand side and x^2 of right hand side gets cancel)

64=4x+4

64-4=4x

60/4=x

15=x

Step-by-step explanation:

Answer: 134 people

Step-by-step explanation:

Data: The soccer team needs to raise $5,092

They are hosting a pancake breakfast to do so and are charging $38 to do so

The number of people they need to attend their breakfast for the money to be raised: $x

Step one, make the equation

$38x=$5,092

Reason: Since we know that the number of people(x) times $38 will equal $5,092 so to put it into an equation will make it easier to solve.

Step two, Isolate x by dividing by 38 on both sides

$38x/38=$5,092/38=x=134

Reason: Since you are trying to find the number of people(x) you have to isolate it. the way to do that is by getting rid of the 38 next to it and by dividing, you cancel out the multplication and get rid of the 38. However, since what you do to one side you do to the other, you divide 5,092 by 38 to get the answer of 134.

Answer: 134 people

I hope this helps!

Answer:

simple - 1/21 chance

Step-by-step explanation:

since its asking for the probability of "a" marble, and not all the green marbles, you add everything up and slap what outcome (1 in this case) on top of the 21

here is cat

Answer:

3 is for green marbles

21 is the total of all marbles

Step-by-step explanation:

you only have 1 event so I think we don't need some formula or something

the formula is this if the event A and B has no intersection P( A U B)= P(A)+P(B)

and if it has intersection, the formula is like this P( A ∩ B)=P(A)+P(B)-P( A ∩ B)

9514 1404 393

Answer:

  D.  14

Step-by-step explanation:

Point G divides each median into parts that have the ratio ...

  short : long = 1 : 2

Then ...

  GD : GC = 1 : 2 = 7 : 14 . . . . . . . . multiply the ratio by 7

GC = 14

Answer:

x = -1

Step-by-step explanation:

LOCO LOOOCOOOO LOCO LOOOOCOOO

Answer: The equation of the line in slope-intercept form is “y = 4/3x + 4.”

9514 1404 393

Answer:

  $735

Step-by-step explanation:

We assume the cover needs to cover the pool only, not any extra area around the pool.

The cost is given per square foot, so to find the total cost, we need to know how many square feet the cover must cover. The cost will be found by multiplying the cost per square foot by the number of square feet.*

The dimensions of the pool are given as 35 ft by 70 ft. The pool area is the product of these dimensions.

  A = LW

  A = (70 ft)(35 ft) = 2450 ft²

Then the cost is ...

  C = ($0.30/ft²)(2450 ft²) = $735

The cost to buy a pool cover is $735.

__

* This is the same rule you use for any purchase. The total cost is the cost per item multiplied by the number of items. Here, each "item" is 1 square foot of pool cover.

Answer:

B.) -9

Step-by-step explanation:

The value of b if 3/2 is the axis of symmetry for the graph of the function f(x)=3x2+bx+4 is -9

The standard equation of a function in vertex form is given as:

f(x) = (a + x)^2 + h

Given the function f(x)=3x^2+bx+4 with an axis of symmetry of 3/2, the vertex is expressed as:

3/2= -b/2a

-b/2(3)=3/2

-b/6=3/2

Cross multiply

-2b = 18

-b=9

Hence the value of b if 3/2 is the axis of symmetry for the graph of the function f(x)=3x2+bx+4 is -9

Learn more on axis of symmetry here: https://brainly.com/question/21191648

Answer:

140.25$

Step-by-step explanation:hope this helps <3

Answer:

Step-by-step explanation: valero gas station gas cost 2 dollars. 55 per gallon

55 + 20

Step-by-step explanation:

One juice and to sandwiches cost $70.00. One juice and four sandwiches cost $130.00.

What is the cost of one sandwich?

Answer:

One sandwich costs $30

One juice costs $10

Answer:

The original fraction is [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Let the numerator by X

Denominator is three more than its numerator i.e X +3

When both the numerator and denominator are increased by one the fraction becomes 1/2

[tex]\frac{X + 1}{X+3+1} = \frac{1}{2} \\\frac{X+1}{X+4} = \frac{1}{2} \\2X + 2 = X+4\\X = 2[/tex]

Thus, numerator = 2

Denominator = X +3 = 2+3 = 5

The original fraction is [tex]\frac{2}{5}[/tex]

Answer:

0

Step-by-step explanation:

Answer:

0.315 times

Step-by-step explanation:

156÷495 ≈ 0.315

Have a good day :)

Answer:

The answer is "H [93%, 100%]"

Step-by-step explanation:

I'll edit this in a second to show the process, but it may take a minute. Just have the answer for now.

This is a surprisingly useful question hah, I'll bet many will need to do this.

This question is just finding the average. Pretty simple.

y = 86 + 82 + 91 + 98 + x / 5

y = 357 + x / 5

An easy way is to do the lowest question first, then go from lowest to second lowest and so on. Because if you go to the highest one and the answer is one of the lower ones, well, of course it's going to be within the 90-100 range, but that doesn't necessarily mean it's the answer.

y = 357 + (87) / 5

y = 444 / 5

y = 88.8

Okay, so the answer isn't G. Then let's try H.

y = 357 + (93) / 5

y = 450 / 5

y = 90

Yep, the answer is H. This is because it equals 90, which is indicative of the 90-100% range that Latoya needs to get an "A".

Answer:

10.9

Step-by-step explanation:

The "mean" is just school's fancy way of saying "the average". To find the mean of the numbers, you add them all up first. 12 + 5 + 14 + 6 + 17 + 7 + 15 = 76. The next step is to divide 76 by the number of values that were added. 12, 5, 14, 6, 17, 7, and 15 are a total of 7 numbers. So, we will divide 76 by 7.

76/7 = 10.8571428571, which rounds to 10.9 if you are rounding it to the nearest tenth.

Answer:

[tex]\boxed {\boxed {\sf 10.9 \ hours }}[/tex]

Step-by-step explanation:

The mean is also called the average. It is a measure of central tendency and provides information about the center of a data set.

The mean is found by adding up all the values, then dividing by the number of values. Remember, this is the data set we have:

12, 5, 14, 6, 17, 7, 15

1. Add up values

12 + 5+ 14 + 6 + 17 + 7 + 15= 76

2. Divide by the number of values

76/7=10.8571428571

3. Round

10.8571428571 ≈ 10.9

The mean number of hours spent watching television for this group of students is 10.9 hours.

Answer:

7/2 or 3.5 inches

Step-by-step explanation:

The volume of the rectangle=

length×width×height, so

V=1/2×2×7/2

V=1×7/2

V=7/2 cubic inches

Next, Volume of the cube=

side^3, or side×side×side

V=1/2×1/2×1/2

V=1/8 cubic inches

First question,

To find how many cubes with the side of 1/2 length that fir into the rectangular prism, take:

7/2÷1/8

=7/2×8

=28 cubes. As a result, there are 28 cubes that will fit into the prism

Second question,

The volume of the person is 7/2 cubic inches or 3.5 cubic inches. Hope it help!

Answer:

5(x-1) = 17

5x - 5 = 17 (write equation in simpler terms)

add 5 on each side like this (5x = 17 + 5)

= 5x = 22 which results in 4.4

Answer:

coefficient*

Your coefficients are 4 and 9

Why?

Because the number attached to the variable will always be your coefficient.

Answer:

Triangle A and B

Step-by-step explanation:

Both triangles have two same angles.

If Triangle A is rotated like Triangle B, they would be the same.

Vice versa, if Triangle B is rotated like Triangle A, it would be the same.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

c and d

Step-by-step explanation:

I think this is it sorry if wrong but i tryed really hard i am not good at math dont take this down pls.

Answer:

the answer is 456,976,000

Answer:

⬇️ i got it right

Answer:

2( 2x - y ) -4( x - y ) +3y

4x - 2y - 4x + 4y + 3y

-2y + 4y + 3y

-2y +7y

5y

Answer:

Step-by-step explanation:

I'm going to guess that the square  exponents are on the top y's   only?   then answer b) looks good

Answer:

b. y^2 = -12x

Step-by-step explanation:

The general form for  the given parabola is y^2 = -4ax where the focus is at (-a, 0). The focal width is 4a which in this case = 12.

Answer:

2

Step-by-step explanation:

Answer:

x = 20

y = 30

Step-by-step explanation:

Answer:

x = 20

y = 30

Step-by-step explanation:

y = 3x - 30

2x + 2y = 100

2x + 2(3x - 30) = 100

2x + 6x - 60 = 100

8x - 60 = 100

8x = 160

x = 20

y = 3(20) - 30

y = 60 - 30

y = 30

Answer:

It's in Quadrant IV.

..............

Answer:

5 lollies are left over

Step-by-step explanation:

Total lollies Jordan has = 47

Number of boys at the party = 6

If the lollies are shared equally,

Number of lollies each boy gets = Total lollies ÷ number of boys

= 47 ÷ 6

= 7 lollies remainder 5

That is,

6 boys × 7 lollies each = 42 lollies

How many lollies were leftover.

Remaining lolly = Total lollies - shared lollies

= 47 - 42

= 5 lollies are left over

Answer:

6.4 this is the middle between them or like 0.1 is difference

Answer:

z will be11

11z = 121

z = 121/11

z= 11

Answer:

1=121= 11

Step-by-step explanation: