Enter a rational equation for the real-world application. Do not solve.

A save percentage in lacrosse is found by dividing the number of saves by the number of shots faced. A lacrosse goalie saved 3 of 14 shots. How many additional consecutive saves s must the goalie make to raise his save percentage to 0.650?

The equation to solve this problem is ?

Answers

Answer 1

Answer:

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Related Questions

The agriculture club is planting vegetable gardens of land that measures 1 3/4 of an acre. Each garden will measure 1/8 of an acre. What is the greatest number of gardens that can be planted?

Answers

Answer: 14 gardens

Explanation:

1. You can either turn the fractions into decimals (1.75 and 0.125) or make the denominators the same (1 6/8 and 1/8)

2. multiplying 3/4 by the 2 to get the least common multiple, which in this case is 8. (3/4x2=6/8)

3. Divide the number of acres available (1 6/8) by the number of acres needed for each garden (1/8) to get the answer. (1 6/8÷1/8=14)

8). There are five bags with 98 chocolate drops in each one. How many chocolate drops are there in total? Write the equation and give the solution.​

Answers

Answer:

490

Step-by-step explanation:

98*5+490

Answer:

490

Step-by-Step Explanation:

the equation is 5 x 98 = 490.

Three pizzas are shared equally among 12 people.what fraction of pizza will each person get

Answers

Answer:

1/4

Step-by-step explanation:

3/12 =0.25

0.25 = 1/4

Answer:

there are three pizzas

it has to be shared among 12 peoples

so, 3/12 = 1/4.

Are the ratios proportional?
10/12 and 20/32

Answers

Answer:

no they arent

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

10/12 can be simplified as 5/6 however 20/32 turns to 10/16 which then can be simplified to 5/8

Complete the table, and graph the pairs of values.

Answers

eight ten twelve fourteen

It can be helpful to classify a differential equation, so that we can predict the techniques that might help us to find a function which solves the equation. Two classifications are the order of the equation -- (what is the highest number of derivatives involved) and whether or not the equation is linear . Linearity is important because the structure of the the family of solutions to a linear equation is fairly simple. Linear equations can usually be solved completely and explicitly. Determine whether or not each equation is linear:

Answers

Answer:

The equations are not given but the clue to your answer is given below:

Step-by-step explanation:

So the question above talks generally about differential equations (equations whose derivatives can be found) and then describes them thus - the order of a differential equation and the linearity status of a differential equation.

To determine whether or not each of the absent equations is linear, check for the following characteristics of linearity:

1. The maximum number or power that any variable in a linear equation is raised to is 1.

Example: 2x² + 6y = 43y is NOT a linear equation because some or all (in this case, variable x) of the variables in it are raised to a power greater than 1. Variable x is raised to the power of 2.

2. An equation (a linear equation, in this case) contains an 'equal to' sign. This is the reason why it's called an equation. There is a mathematical expression on each side of the equal to sign. Take note of this, just incase one of the options in your question has no equal to sign.

Example: 2x + 6y is NOT a linear equation. It is a linear expression. It contains no equal to sign that compares two distinct mathematical expressions.

3. A linear equation usually has not more than two variables. It is not complex or difficult to solve.

Example: 2x + 6y = 43z is NOT a linear equation.

Find the average rate of change for the given function over the indicated values of x. If necessary, round your final answer to two decimal places.


f(x)=x^2+6x, where x goes from 5 to 7.

Answers

Answer:

The average rate of change of the function in this interval is of 18.

Step-by-step explanation:

The average rate of change of a function [tex]f(x)[/tex] in an interval from a to b is given by:

[tex]A = \frac{f(b) - f(a)}{b - a}[/tex]

In this question:

[tex]f(x) = x^2 + 6x[/tex]

Where x goes from 5 to 7.

This means that [tex]b = 7, a = 5[/tex]. So

[tex]f(7) = 7^2 + 6(7) = 49 + 42 = 91[/tex]

[tex]f(5) = 5^2 + 6(5) = 25 + 30 = 55[/tex]

The rate of change is:

[tex]A = \frac{f(7) - f(5)}{7 - 5} = \frac{91 - 55}{2} = 18[/tex]

The average rate of change of the function in this interval is of 18.

The rate of change of a function over a given interval is required.

The average rate of change is 18

Rate of change

The given function is

[tex]f(x)=x^2+6x[/tex]

The interval is between [tex]x=5[/tex] to [tex]x=7[/tex]

Finding the corresponding [tex]y[/tex] values

[tex]y=5^2+6\times 5=55[/tex]

[tex]y=7^2+6\times 7=91[/tex]

The two points are

[tex](5,55),(7,91)[/tex]

The slope is

[tex]m=\dfrac{\Delta y}{\Delta x}\\\Rightarrow m=\dfrac{91-55}{7-5}\\\Rightarrow m=18[/tex]

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Algebraic Expression Evaluate the expression 9x + 2 when × = 3

HELP ME​

Answers

Answer:

The value of 9x+2 when x=3 is 29

Step-by-step explanation:

Algebraic Expressions

We are given the expression

9x + 2

And it's required to evaluate the expression when the value of x is 3.

It can be done by substituting x by 3:

9*3 + 2

=27 + 2

=29

The value of 9x+2 when x=3 is 29

Which equation will solve the following word problem? One small pitcher and one large pitcher can hold 12 cups of water. If the large pitcher is twice the size of the small pitcher, how much does the small pitcher hold?


S = 12/2S


2S = 12/S


2S + S = 12


2S - S = 12

Answers

Option 3
Amount of water hold by both the pitchers (Large + small) = 12 cups
Let the small pitcher holds the water = S cups
If the water hold by the large pitcher is twice the size of the small pitcher, then the amount of water hold by large pitcher = 2S
Total amount water hold by both = S + 2S
Equation for this situation will be,
S + 2S = 12
Therefore, Option (3) will be the answer.

(Giving brainliest!)
Explain the following in complete sentences:

is the number 1 prime?

Answers

Answer: No because it’s the 1st number

No

Answer:

No

Explanation:

The definition of a prime number is a positive integer that has exactly two positive divisors. However, 1 only has one positive divisor (1 itself), so it is not prime. Hope it’s helps:)

hi please help urgent question!!!
will give brainlist :>

Answers

Answer:

dont know sos

Step-by-step explanation:

3/4
What fraction is equivalent to the fraction above.

Answers

Answer: 6/8, 12/16, 15/20, 18/24, are all equal

Step-by-step explanation:

Christi has $7,500 to invest. She was offered a simple annual interest rate of 4% for three years, but wants to look at other options. Which of the following changes will increase the interest she earns the most?
A-Simple interest, 4.2%, 3 years
B-Simple interest, 4.1%, 3 years
C-Simple interest, 4%, 3.25 years
D-Compound interest, 4%, 2.75 years

Answers

Christi can earn more interest if she invests $7,500 in Simple interest, 4%, 3.25 years, therefore, the correct option is c.

What is simple interest?

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,

[tex]SI = \dfrac{P \times R \times T}{100}[/tex]

where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.

The simple Interest she is currently getting,

[tex]SI = \dfrac{P \times R \times T}{100} = \dfrac{\$7,500 \times 4 \times 3}{100} =\$900[/tex]

A.)

[tex]SI = \dfrac{P \times R \times T}{100} = \dfrac{\$7,500 \times 4.2 \times 3}{100} =\$945[/tex]

B.)

[tex]SI = \dfrac{P \times R \times T}{100} = \dfrac{\$7,500 \times 4.1 \times 3}{100} =\$922.5[/tex]

C.)

[tex]SI = \dfrac{P \times R \times T}{100} = \dfrac{\$7,500 \times 4 \times 3.25}{100} =\$975[/tex]

D.)

[tex]CI = P(1+\dfrac{R}{100})^t -P = \$7,500(1+0.04)^{2.75}-\$7500 = \$854.16[/tex]

Hence, Christi can earn more interest if she invests $7,500 in Simple interest, 4%, 3.25 years, therefore, the correct option is c.

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write a five digit number with an 8 that is 10 times the value of 8 in 48,324​

Answers

Answer:

800000

Step-by-step explanation:

the 8 is 10,000, so 10 x 10,000 = 100,000

100,000 put an 8 anywhere

Which of the following is most likely the next step in the series

Answers

Answer:

D

Step-by-step explanation:

6 sides then 5 then 4 then there should be 3

markme brainliest

I believe it would be D. Triangle

If triangle GFE is similar to triangle CBE, find FE. Type only the number in
the answer box.

Answers

Answer: 9

Step-by-step explanation:

The value of x from the given figure is 17 units.

Given that, triangle GFE is similar to triangle CBE.

What are similar triangles?

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Here,

GE/EB = FE/EC

⇒ 60/(x+5) = (4x-1)/24

⇒ (x+5)×(4x-1)=24×60

⇒ 4x²+20x-x-5=1440

⇒ 4x²+19x-1445=0

Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.

Exact Form:

x=(−19±3√2609)/8

Decimal Form:

x=16.77938918…, -21.52938918…

x=17

Therefore, the value of x from the given figure is 17 units.

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PLEASE PLEASE HELP!!!

Answers

Answer:

x = 8

Step-by-step explanation:

small triangle is similar to larger one

set up a proportion:    9    =   x + 4

                                  9+12     x+4+2x

9  = x+ 4                    cross-multiply:  9(3x + 4) = 21(x + 4)

21     3x + 4                                            27x + 36 = 21x + 84

                                                              6x + 36 = 84

                                                               6x = 48

                                                               x = 8

how could you use 1/8 measuring cup to measure 1/4 cups of water ​

Answers

You could use the 1/8 measuring cup twice because that would be 2/8 which is the equivalent to 1/4 with GCF of 2

We can use 1/8 measuring cup two times.

What is measurement?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

A cup of measurement 1/8.

Now,

we have to measure 1/4 from the cup using cup of measurement 1/8.

So, we can measure it two times.

as, 1/8+ 1/8

= 2/8

=2/4.

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Plz help
Simplify 6(3x-5)+5(2x-1)

Answers

28x - 35 is the simplified from

A tree was 60 inches tall. Three years later it was 105 inches tall

Answers

Answer:

Im sorry but I think you have forgotten to pit your question innit

Answer:

Step-by-step explanation:

something is wrong with the question...

thanks for the points. ^_^

Duck #1 lays eggs whose weights are normally distributed with a mean of 70gramsand a standard deviation of 6 grams.Duck #2 lays eggs whose weights are also normally distributed with a mean of 65 grams and a standard deviation of 5 grams. If an egg is randomly chosen from each duck, what is the probability that Duck #2’s egg weighs more than Duck #1’s egg?

Answers

Answer:

26.11% probability that Duck #2’s egg weighs more than Duck #1’s egg

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If an egg is randomly chosen from each duck, what is the probability that Duck #2’s egg weighs more than Duck #1’s egg?

Duck #2 egg will weigh more if the subtraction of duck's 2 egg by duck's 1 egg is larger than 0.

When we subtract normal distributions, the mean is the subtraction of the means. So

[tex]\mu = 65 - 70 = -5[/tex]

The standard deviation is the square root of the sum of the variances. So

[tex]\sigma = \sqrt{6^2+5^2} = \sqrt{61} = 7.81[/tex]

Now, we have to find 1 subtracted by the pvalue of Z when X = 0. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0 - (-5)}{7.81}[/tex]

[tex]Z = 0.64[/tex]

[tex]Z = 0.64[/tex] has a pvalue of 0.7389

1 - 0.7389 = 0.2611

26.11% probability that Duck #2’s egg weighs more than Duck #1’s egg

what is the value of the ecpression ( 81 1/4 ) 4

Answers

Answer:

324 1/4

Step-by-step explanation:

Answer:

43580627 _(゚◇゚;)ノ゙

Step-by-step explanation:

1.1     81 = 34

(81)1 = (34)1 = 3

         34

Simplify   ——

           4

A band expects to put 12 songs on their next CD. The band writes and records 25​% more songs than they expect to put on the CD. During the editing​ process, 80​% of the songs are removed. How many songs will there be on the final​ CD?

Answers

Answer:

3 songs

Step-by-step explanation:

25% more songs: 12 x 1.25 = 15

80% removed: 15 x 0.2 = 3

Solve for x:
1 ½ - ( 5/6x + ⅓ ) = 8/9

Answers

Answer:

its x=1/3 :)))

Find the length median of the trapezoid( 20 points and brainliest if answered)

Answers

Answer:

1. 45

2.40

Step-by-step explanation:

Allison converted 50 US dollars to 290 Argentine pesos. If she converts another 80
US dollars to Argentine pesos, how many pesos would she get for 80 US dollars?
( A) 1.6
B) 5.8
464
D) 580

Answers

Answer:

464 pesos

Step-by-step explanation:

290 / 50 = 5.8

5.8 X 80 = 464

pls help! :( if you get it right I’ll give brainliest!!

Answers

Answer:

2.3 A

Step-by-step explanation:

Its 2.3 what am I supposed to say

The awnserrrrrrrrrrrrr issssssssss aaaaaaaaaa

k+2 ≥ 5 i need the answer pls

Answers

Answer: dont know

Step-by-step explanation:

K=3 or higher, I would need to know the options to tell you an exact answer

3. Find the perimeter of the diagram. Round to the nearest
hundredth.

Answers

the answer is 16.77

fdmlksafndslakgfnlksdaajglsdanlkfsdalkfsad

im dum but please help me

Answers

Answer:

336

Step-by-step explanation:

area = 1/2 * (a + b) * h

answer is 336 i hope it’s right let me know
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