Simplify the expression 53 × 5-^5.

Step-by-step explanation:

-7x-36=20-3x

-36-20=-3x+7x

-56=4x

-56/4=X

-14=X

X=-14 answer

Answer:

24

Step-by-step explanation:

To obtain the minimum number fi tiles needed;

We find the Lowest common multiple of 8 and 6

Multiples of :

6 = 6, 12, 18, 24, 30, 36, 42, 48,...

8 = 8, 16, 24, 32, 40, 48, 56,...

Hence, the lowest common multiple of 8 and 6 is 24

Answer:

its B

Step-by-step explanation:

Answer:

[tex]( - 2 {x}^{2} + 9x - 2) - ( - 7x + 6) \\ = - 2 {x}^{2} + (9 + 7)x + ( - 2 - 6) \\ = - 2 {x}^{2} + 16x - 8[/tex]

Answer:

by phythagoras theorem

(c+b)^2=(8)^2+(6)^2

(b+c)^2=64+36

(b+c)^2=100

b+c=√100

b+c=10.

by phythagoras theorem

(8)^2=(a)^2+(b)^2

64-b^2=a^2. {1}

by phythagoras theorem

(6)^2=(a)^2+(c)^2

36-c^2=a^2. {2}

In equation 1 and 2,

64-b^2=36-c^2

64-36= -c^2+b^2

28= b^2-c^2

28=(b+c)(b-c)

28=10(b-c)

b-c=28/10

b-c=2.8.

b+c=10

b-c=2.8

subtract both equations

c=3.6

option A is correct.

26375

On the graph, it tells you how much fuel is left after 2 hours of the journey.

If we take 422,000 and subtract 369,250 from it we get 52,750. However, this is how much gas is used in 2 hours, so to find one hour we need to divide by 2, getting us 26,375.

Therefore, the Jet uses 26,375 gallons per hour during the 16 hour trip from Los Angeles, CA to Melbourne, Australia.

Answer:

Part A)

An equation in​ point-slope form for the line having the slope m = 6 and containing the point (7,2).

[tex]y - 2 = 6(x-7)[/tex]

Part B)

An equation in​ point-slope form for the line having the slope m = -4 and containing the point (1, 9).

[tex]y - 9 = -4(x-1)[/tex]

Step-by-step explanation:

                                                        Part A)

Given

Slope m = 6

Point (7, 2)

To Determine

Find an equation in​ point-slope form for the line having the slope m = 6 and containing the point (7,2).

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where

In our case:

substituting the values m = 6 and the point (x₁, y₁) = (7, 2) in the point-slope form of line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - 2 = 6(x-7)[/tex]

Therefore, an equation in​ point-slope form for the line having the slope m = 6 and containing the point (7,2).

[tex]y - 2 = 6(x-7)[/tex]

                                                       Part B)

Given

Slope m = -4

Point (1, 9)

To Determine

Find an equation in​ point-slope form for the line having the slope m = -4 and containing the point (1, 9).

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where

In our case:

substituting the values m = -4 and the point (x₁, y₁) = (1, 9) in the point-slope form of line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - 9 = -4(x-1)[/tex]

Therefore, an equation in​ point-slope form for the line having the slope m = -4 and containing the point (1, 9).

[tex]y - 9 = -4(x-1)[/tex]

The answer is:

1) y - 2 = 6(x - 7)

2) y - 9 = -4(x - 1)

Work/explanation:

The point slope formula is:

[tex]\bf{y-y_1=m(x-x_1)}[/tex]

where m = slope;

(x₁, y₁) is a point on the line.

For this problem, m = 6 and the point is (7,2).

Plug in the data:

[tex]\bf{y-2=6(x-7)}[/tex]

__________________

For this problem, m = -4 and the point is (1,9).

Plug in the data:

[tex]\bf{y-9=-4(x-1)}[/tex]

Hence, these are the equations.

Answer:

2/3

Step-by-step explanation:

If 1/3 of students bring their lunch to school then 2/3 of students dont

Answer:

300 brought lunch

600 did not bring lunch

Step-by-step explanation:

1/3 of 900 = 300

Answer:

40

Step-by-step explanation:

(2x+1/(2x))^5 *(2x -1/(2x))^5

= ((2x)^2 -1/(2x)^2)^5 (a+b)*(a-b) =a2-b2

= (4x^2-1/4(x)^2)^5

now

x =4x^2. ,a = 1/4(x)^2 ,n =5

we have

general term = Cr *x^r *a^(n-r)

= Cr * (4x^2)^r * (1/4(x)^2)^(n-r)

= Cr *4^r * X^2r * 1/( 4^(n-r) *x^(2n-2r)

= Cr * 4^r/4^(n-r) * x^(2r)/x^(2n-2r)

= Cr * 4(2r-n) *x(4r-2n)

now for x^2

4r-2n = 2

4r -10=2

4r =12

r = 3

now for coeff

C(5,3) * 4^(2*3-5)

5!/(3!*(5-3)!) * 4

5*4/(2*1)*4

40

Answer:

the amount is duplicating every time from 1 to 2 from 8 to 16

Step-by-step explanation:

Answer:

it's being multiplied by 2 every time, so 1×2=2 and it just keeps going on. 2×2=4, 4×2=8 and so fourth

$.01×2=$.02

Answer:

3/5

Step-by-step explanation:

The equation of a line is written as

y = mx + b where

m is the slope

b is the y-intercept.

We put the given equation above in that form

10x + 6y = - 84

6y = -10x - 84

Divide both sides by 6

y = -10x/6 - 84/6

y = -5x/3 - 14

y = -5/3x - 14

The slope of this line is -5/3

But we are told that: the slope of the line is perpendicular to the line

Hence: we find the reciprocal of , -5/3

This is = 3/5

Therefore, the slope of a line perpendicular to the line whose equation is 10x + 6y = −84 is 3/5

Answer: c.) 0.04a + 0.06b + 0.05c = 950

Step-by-step explanation:

To find interest per investment you need to multiply the percentage interest rate by the value of the investment.

When written in linear equations, percentages are converted to decimal form.

4% = 1/100 = 0.04

6% = 6/100 = 0.06

5% = 5/100 = 0.05

These are the interest rates that when multiplied by their investments, will give a total of $950.

0.04 * a + 0.06 * b + 0.05 * c = 950

0.04a + 0.06b + 0.05c = 950

Option c is therefore correct.

Answer:

x = 26

Step-by-step explanation:

1. Information

One can partition this figure into three different parts, two congruent triangles, and one rectangle. To find the value of x, one has to find the base of the two triangles, and then the base of the rectangle. Since opposite sides are congruent, the base of the rectangles is 10. To find the base of the triangle, one has to use the Pythagorean theorem.

2. Base of the rectangle

Again, opposite sides are congruent, hence the base of the rectangle is equivalent to the top part. Hence the base is 10.

3. Base of the triangle

Use the Pythagorean theorem;

[tex]a^{2}+b^{2} = c^{2}\\a-leg\\b-leg\\c-hypotenuse[/tex]

Substitute in the given value and solve

[tex]a^{2}+15^{2} = 17^{2}\\a^{2} + 225 = 289\\a^{2} = 64\\a = 8[/tex]

4. Finding x

There are two congruent trinagles, hence one has to add the base of the triangle twice. The equation will be

x = base_of_triangle + base_of_rectagle + base_of_triangle

x = 8 + 10 + 8

x = 26

Answer:

-5/2 is the reciprocal of -2/5, but the opposite would just be 5/2.

Step-by-step explanation:

Answer:

yes the answer is yes i think im not good at explaing but hope that helps

Step-by-step explanation:

Answer:

The solution to the system of equations will be:

[tex]x=9,\:y=6[/tex]

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}2x-9y=-36\\ -14x+18y=-18\end{bmatrix}[/tex]

Multiply 2x-9y=-36 by 7

[tex]14x-63y=-252[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}14x-63y=-252\\ -14x+18y=-18\end{bmatrix}[/tex]

Adding both equations

[tex]-14x+18y=-18[/tex]

[tex]+[/tex]

[tex]\underline{14x-63y=-252}[/tex]

[tex]-45y=-270[/tex]

solve -45y = -270 for y

[tex]-45y=-270[/tex]

divide both sides by -45

[tex]\frac{-45y}{-45}=\frac{-270}{-45}[/tex]

Simplify

[tex]y=6[/tex]

For 14x-63y = -270 plug in y = 6

[tex]14x-63\cdot \:6=-252[/tex]

[tex]14x-378=-252[/tex]

Add 378 to both sides

[tex]14x-378+378=-252+378[/tex]

Simplify

[tex]14x=126[/tex]

Divide both sides by 14

[tex]\frac{14x}{14}=\frac{126}{14}[/tex]

Simplify

[tex]x=9[/tex]

Therefore, the solution to the system of equations will be:

[tex]x=9,\:y=6[/tex]

Answer:

D. One solution

Step-by-step explanation:

Simplify:

[tex]6-3x = 12-6x\\-3x+6x = 12-6\\3x = 6\\x = 2[/tex]

There is only one solution (x=2) that satisfy the equation.

Answer:

w=V/Ih

Step-by-step explanation:

The formula for the volume of a rectangular prism is given as V = lwh.

✓ we are required to solve for "w" and this can be done by making "w" subject of the formula.

w=V/Ih

Hence, formula for " w" is w=V/Ih

Answer:

1. 18.84 in

2. 56.52 cm

3. 4.71 ft

4. 25.12 m

5. 37.68 ft

6. 12.56 yd

7. 43.96 in

8. 28.26 cm

9. 7.85 m

Step-by-step explanation:

[tex]C=2\pi r[/tex]

Answer:

answer is 3

Step-by-step explanation:

8-5

4(2)=8

3+2=5

8-5=3

Answer:

46

Step-by-step explanation:

Answer:

y=7x+5

Step-by-step explanation:

Answer:

Quadrilateral, Square, and Rhombus

Step-by-step explanation:

Hope it helped!

Answer:

I think quadrilateral and rhombus.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

OK 13-5=8 and that leaves 8k so k must be 2 because since their is no space they are being multiplied together and 8x2=16 :) hope this helps

plz give thanks

Answer:

is -4=Y

Step-by-step explanation:

i had that problem

Answer: y=-x+2

Step-by-step explanation:

m=(-1-4)/(3+2)=-5/5=-1

y=-x+b

Plug in the values

y=-x+2

Answer:

y =  − x + 2

Step-by-step explanation:

Answer:

(2,-5)

Step-by-step explanation:

Answer:

a) y = 4x + 7 (b) y = 5x + 1 (c) y = 6x + 2 (d) y = 9x + 13

27 - 9x +15y

Factor out common  term 3 :

3(9-3x+5y)

hope this helps!

Answer:

3(9-3x+5y)

Step-by-step explanation: