Use algebra tiles to solve 5x = 5

Answer:

Fraction: 13/20

Decimal: 0.65

Step-by-step explanation:

Fraction: 65/100

You can divide both numbers by 5

13/20

Decimal: move the decimal point 2 left

65.0 --> 6.5 --> 0.65

hopefully this is right if not i am sorry

Answer:

a) 30feet

b) 9.12feet

Step-by-step explanation:

a) Given the path of the ball is modeled by the equation y=-0.02(x-18)²+12​, where;

x is the​ ball's horizontal distance in feet from​ Amaya's position

y is the distance in feet from the ground to the ball.

The ball will be at the maximum height when dy/dx = 0

Differentiate the function:

dy/dx = 2(-0.02)(x-18)^(2-1)+0

dy/dx = -0.04(x-18)

Equate the resulting expression to zero and find x as shown;

-0.04(x-18) = 0

Open the parentheses

-0.04x+0.04(18) = 0

-0.04x+0.72 =0

-0.04x = -0.72

x = -0.72/-0.04

x = 18ft

Hence the ball is 18ft away from Amaya when it is at its maximum height

b) To get the balls height y when x = 30, we will substitute x = 30 into the equation given and calculate the value of y as shown:

y=-0.02(x-18)²+12

y = -0.02(30-18)²+12

y= -0.02(12)²+12

y = -0.02(144)+12

y = -2.88+12

y = 9.12 feet

Hence the Ball's height is 9.12feet when it crosses the net at x = 30.

Answer:

yeah, that's right!!!!

Answer: Mario

Step-by-step explanation: 8 squared is 64 and 12 squared is 144, 18 squared is 324. According to the Pythagorean theorem, A squared + B squared = C squared but in this case, A squared and B squared doesn't add up to C squared so it is wrong

Answer:

h(2) = 8

Step-by-step explanation:

We are told that the function h(x)= -x² + 6x Models the path of water in a fountain in meters

Since the function is h(x)= -x² + 6x.

It means h(2) will be;

h(2) = -(2²) + 6(2)

h(2) = -4 + 12

h(2) = 8

Answer:

-5(2) is different from -52 because -5(2) equals -10.

Step-by-step explanation:

-5(x) implies that -5 is being multiplied by x. Any time 2 numbers (one in parenthesis) are next to each other without a symbol inbetween it implies multiplication

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✧here is your answer:

.・゜゜・d. 2s + 6・゜゜・．

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The rate of change or slope can is the ratio of the change in horizontal axis to the change in the vertical axis, Hence, all the equations stated above can be used to obtain the slope.

The slope or rate of change can be obtained using the following expression :

Therefore, all the given equations in the option can be used to obtain the slope value of a line.

Learn more :https://brainly.com/question/18904995

Answer:

1/6!!!! C

Step-by-step explanation:

Find common denominater. 12.

1/3 goes to 4/12.

2/4 goes to 6/12.

6/12+4/12 is 10/12

Remaining is 2/12!

That is 1/6 simplified!

a. 3/4 b.4/7 c.1/6 d. 5/

Answer:

y=3x+9

Step-by-step explanation:

Slope intercept form: y=mx + b

m= slope

b= y-intercept

-Plugin the point

-3=3(-4)+b

-3(+12) = -12 + b(+ 12)

9=b

y = 3x + 9

Answer:

Mass of bread crumb is 20 times the mass of the ant..

Step-by-step explanation:

Mass of an ant = [tex]4\times 10^{-6}[/tex] kg

Ant carries a weight of bread crumb to its anthill.

Mass of the bread crumb = [tex]8\times 10^{-5}[/tex] kg

Ratio of their masses,

[tex]\frac{\text{Mass of the ant}}{\text{Mass of bread crumb}}=\frac{4\times 10^{-6}}{8\times 10^{-5}}[/tex]

[tex]\frac{\text{Mass of the ant}}{\text{Mass of bread crumb}}=\frac{1}{2\times 10^{(-5+6)}}[/tex]

[tex]\frac{\text{Mass of the ant}}{\text{Mass of bread crumb}}=\frac{1}{20}[/tex]

Mass of the bread crumb = 20×(Mass of the ant)

Therefore, mass of the bread crumb is 20 times the mass of the ant.

Answer:

X

Step-by-step explanation:

X+y=X so the answers x

The value of x using the two rectangles is 8.

We have,

Rectangle A:

Area

= length x width

= 6 x 4

=24 cm²

Rectangle B:

Area

= length x width

= 3x cm²

Now,

The area of both triangles is the same.

This means,

Area of first rectangle = Area of the second rectangle

24 = 3x

x = 24/3

x = 8

Thus,

The value of x using the two rectangles is 8.

Learn more about rectangles here:

https://brainly.com/question/15019502

#SPJ4

Answer:

Step-by-step explanation:

The expression for compound interest is given as

A=P(1+r)^t

given data

P=$4,000

r=2.5%= 0.025

t=7years

The final amount can be solved as

A=4000(1+0.025)^7

A=4000(1.025)^7

A=4000*1.1886

A=4754.4

The amount on the account is $4754.4

Answer:

44

Step-by-step explanation:

75-31=44

Answer:

44 books

Step-by-step explanation:

75-31=44

simple math

Answer:

[tex]x = \frac{5}{8}[/tex]

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Answer:

a is 44 b is 37

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

y = -1

Step-by-step explanation:

there is no graph

but only this answer passes the (3,1)

Please add picture next time

<3

Red

Answer:

-63

Step-by-step explanation:

Answer:

Katherine will receive $23214 to the nearest dollar from both investments.

Step-by-step explanation:

Simple interest = Principal × Time × rate

Le's work out the interest Katherine earns from the two investments.

Money Market Account

Simple interest = 7770 × 5.8/100 × 6/12

= 7770 × 0.058 × 0.5 =  $225.33

So, the amount she gets at maturity is:

$7770 + $225.33= $7995.33

CD account

Simple interest = 12500 × 0.0725 × 3 = $2718.75

The amount she receives at the end of period is:

$12500 + $2718.75 = $15218.75

The total amount she receives from both investments at maturity is:

$15218.75 + $7995.33 = $23214.08

This to the nearest dollar is:

= $23214

Answer:

It's C on Edge

Step-by-step explanation:

Answer:

Before, he had 21 baseball cards and 12 football cards.

we know that:

21 = 7*3

12 = 4*3.

He decided to pack the cards in groups of 3, because 3 is the only common factor between 21 and 12.

Now, if he decides to keep one baseball card, now he has:

20 baseball cards and 12 football cards.

Now he has two possibilities for how many cards are in each pack, this is because:

12 = 4*3 = 2*2*3

20 = 4*5 = 2*2*5

12 and 20 have two common factors, 4 and 2.

a) Then he can sell them in packets of 2 cards each with:

12/2 = 6 packs of football.

20/2 = 10 packs of baseball.

b) Or he can sell them in packets of 4 cards each with:

12/4 = 3 packs of football.

20/4 = 5 packs of baseball.

Answer:

step 1:   0.75 x 6 = 4.5

step 2:   0.75 x d = 0.75d

step 3:    4.5 + 0.75 = 5.25

It's correct answer

Step-by-step explanation:

Answer:

It is already in standard form

Answer:

This is true

Step-by-step explanation:

28 = 28 is what you will get if you put N into the equation.

Answer:

Your answer is: 28 = 28

The left side  28  is equal to the right side  28 , which means that the given statement is always true.

You have to plug in both n's with a 6, so your equation would be ↓ 4(2(6)-5)=3(6)+10

Step-by-step explanation:

Hope this helped : )

Answer:

she will need 5 more 3 cups of apple juice

Step-by-step explanation:

15÷3=5

3×3×3×3×3=15

Answer:

75 ounces

Step-by-step explanation:

39/13=3  so each candy bar weighs 3 ounces each so 25*3=75

Answer:

75 ounces

Step-by-step explanation:

39 divided by the amount of candy bars (13) is 3. Which means each candy bar weighs 3 ounces. So 3 times 25 is 75.

Answer:

The answer is below

Step-by-step explanation:

The bottom of a river makes a V-shape that can be modeled with the absolute value function, d(h) = ⅕ ⎜h − 240⎟ − 48, where d is the depth of the river bottom (in feet) and h is the horizontal distance to the left-hand shore (in feet). A ship risks running aground if the bottom of its keel (its lowest point under the water) reaches down to the river bottom. Suppose you are the harbormaster and you want to place buoys where the river bottom is 20 feet below the surface. Complete the absolute value equation to find the horizontal distance from the left shore at which the buoys should be placed

Answer:

To solve the problem, the depth of the water would be equated to the position of the river bottom.

[tex]d(h)=river \ bottom\\\\The \ river \ bottom=-20\ feet(below)\\\\d(h) = -20\\\\\frac{1}{5}|h-240|-48=-20\\ \\\frac{1}{5}|h-240|=-20+48\\\\\frac{1}{5}|h-240|=28\\\\|h-240|=28*5\\\\|h-240|=140\\\\h-240=140\ or\ h-240=-140\\\\h=140+240\ or\ h=-140+240\\\\h=380\ or\ h=100\\\\The\ buoys\ should\ be\ placed\ at\ 100\ feet\ and\ 380\ feet\ from\ left-hand\ shore[/tex]