Just a few more, help??????????

Answer:

[tex]x = \frac{5a-2} {7+5a}\\[/tex]

Step-by-step explanation:

Given the expressions

[tex]x = \frac{5}{9y+5}....1\\y = \frac{5}{5a-2} ...2[/tex]

Substitute 2 into 1

[tex]x = \frac{5}{9(\frac{5}{5a-2} )+5} \\x = \frac{5}{(\frac{45}{5a-2} )+5} \\x = \frac{5}{\frac{45+5(5a-2)}{5a-2} } \\x= \frac{5}{\frac{35+25a}{5a-2} }\\x = \frac{5(5a-2)} {35+25a}\\x = \frac{5(5a-2)} {5(7+5a})\\\\x = \frac{5a-2} {7+5a}\\[/tex]

The area of a rectangle if the length is 5 more than 4 times the width, the algebraic expression for this is, A = (4b + 5) × b

An area is total space occupied by two-dimensional or flat surfaces. In other words we can say that it is a number of unit squares present in a closed figure. We use various units for measurement of area like, cm², m², ft², mm².

Given that,

The length is 5 units more than 4 times the width

Suppose,

length = l

width = b

So, according to given condition

l = 4b + 5

Now, the area for rectangle is

A = length × width

A = l × b

A = (4b + 5) × b

Hence, the algebraic expression is (4b + 5) × b

To learn more about Area check:

https://brainly.com/question/16151549

#SPJ2

Answer:

D

Step-by-step explanation:

They're not similar because the angle lengths are different.

Answer:

4

Step-by-step explanation:

if it takes her 13 mins to walk 1 mile and we need to know how many miles she can walk in 52 mins than the equation for this word problem would be: 52÷13=4

Answer:

https://www.sketchywebsite.net/

Step-by-step explanation:

Answer:

-27

Step-by-step explanation:

3(-2)³-2-1 =

3(-8)-3 =

-24-3=-27

Answer:

3^3 - 4+6 = 17

Step-by-step explanation:

First you would do the exponents. 3 to the power of 3 (3^3) is 27.

Then you would add 4 and 6 (4+6) which will give you 10.

Finally, you would need to subract 10 from 27 (27-10) and you would get 17.

Hope this helps! :)

Answer:

29

Step-by-step explanation:

The expression is

a^3 - b + c

You just have to plug in the numbers, then evaluate,,

(3)³ - (4) + (6)

Let's start off with the exponent, so (3)³ = 3×3×3

3×3=9

9×3=27

Now, we have 27 - (4) + (6)

We have to get rid of the parenthesis so multiply the symbol next to it, - × 4 = -4, and + × 6 = +6. Now rewrite the equation.

27 - 4 + 6

27 - 4 = 23

23 + 6 = 29

Therefore, the answer its 29.

Hope this helps,

-Ketifa

Answer:

(3x-7) (x+1)

Step-by-step explanation:

3x^2 - 4x - 7

First split the middle term

3x^2 + 3x - 7x - 7

Make into two separate expressions

(3x^2 + 3x) (-7x-7)

Take out what you can

3x (x+1) -7 (x+1)

Now you have your answers

(3x-7) (x+1)

Answer:

Step-by-step explanation:

The potential energy of a body can be found by using the formula

PE = mgh

where

m is the mass

h is the height

g is the acceleration due to gravity which is 9.8 m/s²

From the question we have

PE = 15 × 9.8 × 5

We have the final answer as

Hope this helps you

Answer:

x=30

Step-by-step explanation:

x/5-16=-10

x/5=-10+16

x/5=6

x=6×5

x=30

Answer:

associative property

Step-by-step explanation:

happy to help :)

Answer:

Associative Property

Step-by-step explanation:

The property says you can regroup the three numbers being added.

(a + b) + c = a + (b + c)

Either add a and b first, then add c, ...

or, add b and c first, then add that result to a.

Answer:

$.27

Step-by-step explanation:

.105/7*18

Answer:

The airplane starts its descent from an altitude 500 feet higher.

Step-by-step explanation:

Given that:

F(x) = - 200x+20,000

g(x) = -200x+20,500

The functions are written in slope intercept format :

With a negative slope, the intercept gives the point which the rate of change begins in the vertical axis :

The slope is -200 ; which means that the descent rate of the airplane is 200

The intercept value however changes from 20,000 in f(x) to 20500 in g(x). This means that the height at which descent starts is now at a height of 20500 which is (20500 - 20000) = 500 miles higher than before.

Answer:

The volume of the shape is 560 ft^3

Step-by-step explanation:

To find the volume of the figure, we need to multiply the base area by the height of the figure

mathematically, we have the base area as a rectangular shape and its area is the product of its side lengths

We have this as 8 ft * 10 ft = 80 ft^2

So multiplying this by the height which is 7 ft, we have this as;

7 ft * 80 ft^2 = 560 ft^3

Answer:

the answer is 0 or a

Answer: Susie walked 4000 kilometers on day 18 of her program

Step-by-step explanation:

The question explains an arithmetic progression of  Susie's walk program

Now the nth term of an AP is given as

an = a1 + (n - 1 ) d

a1  =First term = 600 m

common difference , d =200

The 18th day of her program will be

a18 =  600+ (18 - 1 ) 200

a18 = 600+ 17 x200

a18 = 600+3,400

a18 = 4000

Answer:

g=-1

Step-by-step explanation:

3(g+4)=9

Divide both sides by 3.

g+4=  9/3

Divide 9 by 3 to get 3.

g+4=3

Subtract 4 from both sides.

g=3−4

Subtract 4 from 3 to get −1.

g=−1

Answer:

3(g+4)=9

or, 3(g+4)/3=9/3 [Dividing both sides by 3.]

or, g+4=3

or, g+4-4=3-4 [Subtracting 4 from both sides.]

So, g=-1

Answer:

After 3 seconds

Step-by-step explanation:

Given

[tex]h(t) = -5t^2 + 14t + 3[/tex]

Required

Time the drop will hit the ground

When the drop hits the ground,

[tex]h(t) = 0[/tex]

So, we have:

[tex]0 = -5t^2 + 14t + 3[/tex]

Rewrite as:

[tex]5t^2 - 14t - 3 = 0[/tex]

Expand

[tex]5t^2 + t - 15t - 3 = 0[/tex]

Factorize

[tex]t(5t + 1) -3(5t + 1) = 0[/tex]

Factor out 5t + 1

[tex](t -3)(5t + 1) = 0[/tex]

Split

[tex]t -3 = 0[/tex] or [tex]5t + 1 = 0[/tex]

Solve for t

[tex]t = 3[/tex] or [tex]5t = -1[/tex]

Time cannot be negative.

So:

[tex]t = 3[/tex]

Answer:

113 square feet

Step-by-step explanation:

the total area covered can be determined by adding the area of the rectangle, triangle and square together

Area of a square = length² = 8² = 64 ft²

Area of a rectangle = length x width = 7 x 4 = 28 ft²

Area of a triangle = 1/2 x base x height = 1/2 x 6 x 7 = 21 ft²

64 + 28 + 21 = 113 ft²

Answer:

top one, yes. by the SSS theorem

bottom one, no. The bases are not congruent

Step-by-step explanation:

Answer:

Angle AGC

Step-by-step explanation:

Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees. ... For example, a 50-degree angle and a 40-degree angle are complementary; a 60-degree angle and a 120-degree angle are supplementary

Answer:

The correct option is (b).

Step-by-step explanation:

Given that,

The radius of the circle, r = 8 cm

The area of the sector, [tex]A=56\pi \ cm^2[/tex]

We need to find the measure of the sentral angle. The formula for the area of a sector is given by :

[tex]A=\dfrac{1}{2} r^2\theta[/tex]

Where

[tex]\theta[/tex] is the central angle

Substitute all the values,

[tex]\theta=\dfrac{2A}{r^2}\\\\\theta=\dfrac{2\times 56\pi }{8^2}\\\\\theta=\dfrac{7\pi}{4}\ rad[/tex]

So, the correct option is (b).

Answer:

I think after 1.6 s it Will catch the dog

Answer:

54 percent

Step-by-step explanation:

The final probability is a weighted average of the going to play probabilities determined for each weather scenario:

P(John performs cello; provided that it rains) * P(it rains) + P(it rains) + P(it rains) + P(it rains) + P(it rains) +

If it doesn't rain, P(John plays cello) * P(it doesn't rain) =

0.54 = 0.6 * 0.7 + 0.4 * 0.3

The likelihood is 54 percent.

The Percentage increase in the purchase price each year is 4.5%.

The given function is:

[tex]V(t)=P(1.045)^t[/tex]

Where P is the purchase price of the baseball card and t is the time.

A function is a rule that establishes a relation between two variables.

[tex]V(1)=P(1.045)^1\\V(1)=1.045P[/tex]

[tex]V(2)=P(1.045)^2\\V(2)=1.092025P[/tex]

Percentage increase in the purchase price each year

=[tex]\frac{V(2)-V(1)}{V(1)} *100[/tex]

[tex]=\frac{1.092025P-1.045P}{1.045P} *100[/tex]

[tex]=4.5%[/tex]%

Hence, the Percentage increase in the purchase price each year is 4.5%.

To get more about functions visit:

https://brainly.com/question/2833285

Answer:

C = 112, A = 150, D = 30, B = 38

Step-by-step explanation:

I solved C first using:

30+38+c = 180 (angles along a straight line should add up to 180 since a whole circle is 360)

-

I solved A by looking across from C.

Angles on opposite sides should mirror each other but A includes 38* + C

Just by doing 112 + 38 you get 150.

-

I solved D by looking at 30*, alternative interior angles are the same so D is 30*.

-

I solved B by taking C (112) and D (30) and adding them together and subtracting from 180.

Interior angles of a triangle should all add up to 180,

112 + 30 + B = 180

From this I got that B was 38.

Alternatively you can find this out by looking at the 38 degrees, corresponding congruent angles are always the same.

I suggest reviewing this angles sheet if you're ever stuck in the future.

Answer:

C = 112, A = 150, D = 30, B = 38

Step-by-step explanation: