What is the solution to the system of equations?
y = x +3
X=-2

Answer:

4(x+3)²+4

Step-by-step explanation:

4x²+24x+40=0

using the equation above

a:4 b:24 c:40

4(x+(24÷2x4))² + (40-(24²÷4x4))

4(x+3)²+(40-36)

4(x+3)²+4

Answer:

Step-by-step explanation:

Let the rock be r and the fossil be f

Equations

Double the second equation and subtract the first one:

Then find f:

So you collect 4 rocks and 16 fossils

Friend collects:

Answer:

Formula

V=4/3[tex]\pi[/tex]R³ => R = ∛3V/4[tex]\pi[/tex]

With V1 = 640 cm³ and V2=270 m³

[tex]\pi[/tex] = 22/7

=> You can substitute the numbers above to calculate R1 and R2

Step-by-step explanation:

Have fun

Answer:

[tex]\boxed{\text{\sf \Large 4:3}}[/tex]

Step-by-step explanation:

Volume of sphere=4/3πr³

1. 4/3πr³=640

  r=5.346018

  d=10.692036

2. 4/3πr³=270

   r=4.009514

   d=8.019028

Simplify ratio

Answer:

the width is (x + 4) and the length is (x + 10)

Step-by-step explanation:

The area of a rectangle is given by A = L * W, where L is the length and W the width.  

If we factor the given x^2 + 14x + 40, we get (x + 10)(x + 4).  Thus, the width is (x + 4) and the length is (x + 10).

Answer:

6

Step-by-step explanation:

Answer:

6 is answer

Step-by-step explanation:

Answer:

choice A

Step-by-step explanation:

Sin A=12/40

sin A=.3

angle A=17.4576 degrees

Tan 17.4576=0.3145

Tan A=0.3145

Choice a, 3x(sr root of 91)/91=0.3145

Answer:

A.

Step-by-step explanation:

3√91/90

Answer:

[tex]x=80^{\circ}[/tex]

Step-by-step explanation:

Solution 1:

Recall that in an isosceles triangle, the two angles adjacent to the congruent sides are equal. Since the sum of interior angles in a triangle add up to [tex]180^{\circ}[/tex], we set up the following equation:

[tex]x+50+50=180[/tex].

Solving, we get:

[tex]x+100=80,\\x=\fbox{$80^{\circ}$}[/tex].

Solution 2:

The Law of Sines states:

[tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex], for any triangle.

We can use this to set up a proportion with the information given:

[tex]\frac{\sin x}{18}=\frac{\sin 50^{\circ}}{14}[/tex].

Solving, we get:

[tex]x=\arcsin(\frac{18\cdot \sin 50^{\circ}}{14}),\\x \approx \fbox{$80^{\circ}$}[/tex].

Answer:

between one and 6

Step-by-step explanation:

musrbe the answer

Answer:

Just plot one point on (0, 5) and the other one on (6, 8)

Step-by-step explanation:

You just plot (0, 5) then you go 1 up and 8 to the right and plot another point there.

Hope it helps!

Answer: 1/4

Step-by-step explanation: Typing steps

Find the Slope

(−1, −2) , (3, −1)

Slope is equal to the change in y over the change in x, or rise over run.

     change in y

m =  ---------------

    change in x

The change in x is equal to the difference in x-coordinates (also called run), and the change in y

is equal to the difference in y-coordinates (also called r ise).

     y2 − y1

m =  -----------

     x2 − x1

Substitute in the values of x and y into the equation to find the s lope.

       m = −1 − (−2) /3 − (−1)

Simplify the numerator.

Multiply −1 by −2.

       m =  −1 + 2 /3 − (−1)

Add −1 and 2.

       m =  1/3 − (−1)

Simplify the denominator.

Multiply −1 by −1.

       m = 1/3 + 1  

Add 3 and 1.

        m =  1/4

Answer:

c

Step-by-step explanation:

Answer:

by substituting 0

Step-by-step explanation:

Similarly, any y-intercept will have an x coordinate of 0. Using the standard form of an equation we can easily find the intercepts. To find the x-intercept, we set y=0 and solve for x. To find the y-intercept, we set x=0 and solve for y.

We can complete the given statement as:

When an equation is in the standard form you can easily find the x-intercept and y-intercept simply by substituting 0 for each variable.

Intercepts are the point of intersection, between the graph of an equation and an axis of the coordinate plane.

We have two intercepts:

In the question, we are asked: when an equation is in the standard form you can easily find the x-intercept and y-intercept simply by substituting in ____ for each variable.

We know that the x-intercept has a y-coordinate = 0. Thus, when we substitute the value of y = 0, in the equation, we get the x-intercept 'a', as the point (a, 0) satisfies the equation.

We know that the y-intercept has an x-coordinate = 0. Thus, when we substitute the value of x = 0, in the equation, we get the y-intercept 'b', as the point (0, b) satisfies the equation.

Thus, we can complete the given statement as:

When an equation is in the standard form you can easily find the x-intercept and y-intercept simply by substituting 0 for each variable.

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Answer:

X

Step-by-step explanation:

CAUSE

2X=X

DIVIDE BOTH SIDE BY 2 EQUAL ONE AND ONE IS EQUAL TO ( X)

Answer:

t = 150 + 30a

Step-by-step explanation:

Treatment of Pedro costs = Expenditure for tests and medicines + fees given for appointments.

If number of appointments = a

Cost per appointment = $30

Cost of 'a' appointments = $30a

Therefore, equation representing the total cost 't' of the treatment will be,

t = 150 + 30a

Answer:

its the thrid one

Step-by-step explanation:

Answer:

b i think

Step-by-step explanation:

Answer:

3x+5x=40

=8x=40

=x=5

then no.of boys= 3×5 = 15

and no. of girls= 5×5=25

girls more than boys= 25-15=10

mark me brainliest

pls it takes too much time to solve this

Answer:

There will be 10 more girls than boys in the class.

Step-by-step explanation:

5x+3x=40

8x = 40

8x/8 = 40/8

x = 5

5*2 = 10

Answer: The answer is seagrass

Step-by-step explanation: I did it and got it right

To find the perimeter of a shape, you need to add up the measurements of all the sides to find it. I hope this helps. Let me know if you need some help with some perimeter problems :)

Answer:

2 Eggs

Step-by-step explanation:

Since it takes her 4 eggs for 2 batches you divide 4 by 2 and get two eggs per batch

Step-by-step explanation:

A=

[tex] \frac{a + b}{2} h[/tex]

So :

[tex]area \: = \frac{36 + 42}{2} \times 40 \\ \frac{78}{2} \times 40 = 39 \times 40 = 1560[/tex]

Answer:

i am sorry i do not understand ill try to look harder ill keep u updated

Step-by-step explanation:

Answer:

(-1,0)

Step-by-step explanation:

Look to see which points have the same x value (in this case -1)

Answer:

Darlene bought more fabric

Darlene bought 3.4 yards more

Step-by-step explanation:

Darlene = 7 yards + 20% extra

= 7 yards + (20% of 7 yards)

= 7 + (20% × 7)

= 7 + (0.2 × 7)

= 7 + 1.4

= 8.4 yards

Chris = 4 yards + 25% of 4 yards

= 4 yards + (25% of 4 yards)

= 4 + (25% × 4)

= 4 + (0.25 × 4)

= 4 + 1

= 5 yards

Darlene bought more fabric

How much more?

Darlene - Chris

= 8.4 yards - 5 yards

= 3.4 yards

Darlene bought 3.4 yards more

Answer:

$3,600

Step-by-step explanation:

To find the total amount we can state that $270 divided by 0.075 can find us the total amount of office receipts.

Doing so, we get: $270 over 0.075 = $3,600

Answer:

906 will make the game faster but not equal

Step-by-step explanation: 89/8 is the eqaul part

Answer: 7 errands

Step-by-step explanation:

Noah wants to have at least $30. He however already has $10.50.

The amount that he needs is:

= 30 - 10.50

= $19.30

For every errand he runs, he makes $3. The number of errands needed to get to $30 is:

= 19.50/3

= 6.5

= 7 errands

Answer: Felix paid for 11 months.

Step-by-step explanation:

Let x = Number of months

Given: Annual fee = $ 20

charge per month = $15

Total amount = Annual fee + (charge per month) x (number of months)

[tex]\Rightarrow\ 185 = 20+15x\\\\\Rightarrow\ 165=15x\\\\\Rightarrow\ x = \dfrac{165}{15}\\\\\Rightarrow\ x =11[/tex]

Hence, Felix paid for 11 months.

Answer:

B

Step-by-step explanation:

A. (1.5)2 = 3 which is rational.

B. Root of 41 cannot be expressed as a fraction of p/q, where p and q are integers and q not equal to 0.

C. Root of 49 = 7 which is rational.

D. 15(2) = 30 which is rational

Answer:

17/25

Step-by-step explanation:

The required total score for 100% mark is given as 25.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Let the x be the be score for 100% marks.
68% of x = 17
x = 17 / 68%
x = 25

Thus, the required total score for 100% mark is given as 25.

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The length is 12 cm and width is 9 cm.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Area = 108 cm²

and, The length of a rectangle is 3 cm greater than its width.

let the width of rectangle be x.

so, length = x+ 3

So, Area of Rectangle = l x w

108 = x(x+ 3)

x² + 3x -108 = 0

x² + 12x - 9x  -108 = 0

x( x+ 12) -9 ( x+ 12)= 0

(x + 12)(x- 9)=0

x= -12, +9

So, length is 12 cm and width is 9 cm.

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