Alexander and his children went into a grocery store and he bought $6 worth of
bananas and peaches. Each banana costs $0.60 and each peach costs $1.50. He
bought a total of 7 bananas and peaches altogether. Graphically solve a system of
equations in order to determine the number of bananas, x, and the number of
peaches, y, that Alexander bought.

Answer:

The answer would be 2.5

Step-by-step explanation:

I got the answer by just multiplying 20 by 2.5

The rate of flow to fill the gallon is 2.5

Here, A water tank will hold 50 gallons.

We have to find the flow rate to fill the tank in 20 seconds.

How to calculate the rate of flow?

To find the rate of flow we have formula,

F = V/T

where, V is the volume and T is the time.

Now,

Volume of tank is hold 50 gallons.

Time taking to fill tank is 20 second.

Hence, Rate of flow (F) = 50/20

                                   = 2.5

So, The rate of flow to fill the gallon is 2.5.

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Answer:

B: 16

Step-by-step explanation:

The leg's lengths squared must add up to the hypotenuse squared.

12^2 = 144

20^2 = 400

400-144=256

16^2=256

So the answer is 16.

x=16

Answer:

9.22 feet

Step-by-step explanation:

To find the sides of a right triangle, we use the Pythagorean Theorem:

a² + b² = c²

a and b are each one side. c is the hypotenuse.

Let's plug in what we know.

a² + b² = c²

(6)² + (7)² = c²

Evaluate the exponents.

36 + 49 = c²

Add.

85 = c²

Take the square root of both sides.

√85 = √c²

√85 = c

9.22 = c

The hypotenuse is about 9.22 feet long.

Hope this helps!

Answer:

1. h = -16t² + 30t + 4

2. 2 s

Step-by-step explanation:

1.  Write an equation that gives you the height of the feet of the ball as a function of time since it left the jugglers hand?

Since the height moved by the ball, h is given by

h = -16t² + vt + s

Since v = initial vertical velocity = 30 ft/s and s = initial height = 4 ft, then

substituting the values of the variables into the equation for h, we have

h = -16t² + vt + s

h = -16t² + 30t + 4

2. Then calculate if the juggler misses the ball how many seconds does it take to hit the ground?

The ball hits the ground when h = 0

So, h = 0 ⇒

-16t² + 30t + 4 = 0

dividing through by -2, we have

8t² - 15t - 2 = 0

Factorizing, we have

8t² - 16t + t  - 2 = 0

8t(t - 2) + (t  - 2) = 0

(8t + 1)(t - 2) = 0

8t + 1 = 0 or t - 2 = 0

8t = -1 or t = 2

t = -1/8 or t = 2

Since t cannot be negative, t = 2 s

So, the ball hits the ground after 2 s.

Answer:

10.5

Step-by-step explanation:

[tex] KET\cong KIT...... (given) [/tex]

[tex] \therefore KE \cong KI.... (csct) [/tex]

[tex] \therefore m(KE) =m(KI)[/tex]

[tex] \therefore 10x-34= 4x + 29[/tex]

[tex] \therefore 10x-4x= 34 + 29[/tex]

[tex] \therefore 6x= 63[/tex]

[tex] \therefore x=\frac{63}{6}[/tex]

[tex] \therefore x=10.5[/tex]

Answer:

8+6x=30+4x+2 The answer is 12

Step-by-step explanation:

Reason - The sum of opposite interior of a triangle is equal to opposite exterior angle .

Kyle's yesterday's time was 108 seconds, or 1 minute and 48 seconds, faster than his normal time.

To find the difference in time between Kyle's normal time and yesterday's time, we need to subtract his normal time from yesterday's time:

(21 minutes 38seconds)−(23 minutes 26 seconds)

(21 minutes 38 seconds)−(23 minutes 26 seconds)

We can first convert both times to seconds to make the subtraction easier:

=(21×60+38)seconds

−(23×60+26)seconds

=(21×60+38) seconds−(23×60+26) seconds

=(1298 seconds)−(1406 seconds)

=(1298 seconds)−(1406 seconds)

=−108 seconds

=−108 seconds

The result is negative because Kyle's yesterday's time is faster than his normal time. To find the positive difference, we can multiply by -1:

∣−108∣ =108seconds

∣−108∣= 108 seconds

Therefore, Kyle's yesterday's time was 108 seconds, or 1 minute and 48 seconds, faster than his normal time.

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Answer:

67%

Step-by-step explanation:

There are 12 squares.  8 squares are not shaded.  That comes to

 8/12, or 0.67, or 67%

Answer:

an=yearn−year−0.17n+0.34

Step-by-step explanation:

Answer:

68%

Step-by-step explanation:

17% × 4

68%

Answer:

the answer is d 123,984

Step-by-step explanation:

123 x 1008 is  123984

hi as a person who is taking geometry, i think i can help

Answer:

7x-3=5x+1 ->x=2

Step-by-step explanation:

to find the x, you would put both equations together like how it is shown above, then try and get x to one side

7x-3=5x+1

   +3      +3

7x=5x+4

-5x -5x

2x=4

/2   /2

x=2

Answer:

3²/₃ m

Step-by-step explanation:

Since h(x)= −(x−11)(x+3) represents the height of the hovercraft after x seconds, at the time of takeoff, x = 0.

So, the height at takeoff is h(0) = −(0 − 11)(0 + 3)

= -(-11)/3

= 11/3 m

= 3²/₃ m

Answer: 33 seconds

Step-by-step explanation: Khan Academy

Answer:

The Monument is taller than the child by 174.125 meters

Step-by-step explanation:

The Monument in Santiago measures 175 meters. A child measures 87.5 centimeters.

Step 1

Convert child's height to meters

100cm = 1 m

87.5 cm = x

Cross Multiply

100cm × x = 87.5 cm × 1m

x = 87.5 cm × 1m/100cm

x = 0.875m

Step 2

How much is the Monument taller than the child?

This is calculated by subtracting Child's height from Monument height

= 175 m - 0.875m

= 174.125 m

Therefore, the Monument is taller than the child by 174.125 m

Answer:

3x + 18

Step-by-step explanation:

Given

3(x + 6) ← multiply each term in the parenthesis by 3

= 3x + 18

Answer:

6.00

Step-by-step explanation:

Step-by-step explanation:

gabcjxjdjdidifkfdjdjdjdddd

Answer:

Hello! Your answer would be,

Step-by-step explanation:

Write as an inequality: x is at least 30. If ... The method we will use to solve applications with linear inequalities is very ... If he charges ?60 per job, how many jobs must he do to earn a profit of at least ?4,000 a month? ... Find your last month's phone bill and the hourly salary you are paid at your job. ... 30\text{°},60\text{°},90\.

Answer:

a) making protiens

Step-by-step explanation:

ribosomes are associacted with the synthesis of proties..

I hope im right! .

Answer:

16 +6=22 9 +x = 22

x=22-9

x= 13

Answer:

Pi—which is written as the Greek letter for p, or π—is the ratio of the circumference of any circle to the diameter of that circle. Regardless of the circle's size, this ratio will always equal pi(3.1415).

There are two radii in one diameter. The formula for circumference is pi*d when using diameter which explains the two in front of the formula given by your teacher.

Step-by-step explanation:

Answer:

13.9 ft

Step-by-step explanation:

Since the triangle is a right triangle we can use pythagoreom theorm.

16^2=8^2+a^2 (a is the unknown side)

256= 64+a^2

192= a^2

Square root both sides and you get around 13.9 ft

Answer:

The angle of elevation from the ground to the plane is 11.5 degrees

Step-by-step explanation:

Given -

Horizontal distance from the point of takeoff to which the plane flies in a straight line = 4000 feet

The vertical distance travelled from the ground to the plane is 800 feet

Angle of Elevation

[tex]Sin X= \frac{800}{4000} \\X = Sin^{-1}\frac{800}{4000}\\X = 11.5[/tex]

The angle of elevation from the ground to the plane is 11.5 degrees

Answer:

1/7

Step-by-step explanation:

Answer:

The probability of flipping tails is 1/2

Answer:

88 units

Step-by-step explanation:

[tex] In\: \triangle OBR \:\&\: \triangle OWN[/tex]

BR || WN (Given)

Therefore,

[tex] \angle OBR \cong \angle OWN[/tex] (Alternate angles)

[tex] \angle BOR \cong \angle WON[/tex] (Vertical angles)

[tex] \therefore \triangle OBR \sim \triangle OWN[/tex] (AA postulate)

[tex] \therefore \frac{OR}{ON} =\frac{BR}{WN} [/tex] (csst)

[tex] \therefore \frac{OR}{56} =\frac{24}{42} [/tex]

[tex] \therefore \frac{OR}{56} =\frac{4}{7} [/tex]

[tex] \therefore OR =\frac{4\times 56}{7} [/tex]

[tex] \therefore OR ={4\times 8} [/tex]

[tex] \therefore OR =32 [/tex]

RN = OR + ON

RN = 32 + 56

RN = 88 units