Jeremiah scored 28 points in yesterday's
basketball game. He made a total of 17 baskets.
Some of the baskets were field goals (worth two
points) and the rest were free throws (worth one
point). Write and solve a system of equations to
find the number of field goals and the number of
free throws that Jeremiah made.

Answer: -15.5 or -31/2

Step-by-step explanation:

it may look weird but if that's what the equations says then your gonna do it.

-5(3/10) -> (5/1)(3/10) = 15/10 = -3/2 or -1.5
-1.5 - 14 = -15.5

:

() =-5-14 (=3/10)

(3/10)= -5 (3/10) -14

f(3/10) = -15/10 -14

= -15-140

----------

10

= -195/10

=- 19.5

Answer:

Slope: \(-\frac{1}{3}\)

Step-by-step explanation:

Step 1:  Use slope formula to find the slope

\(m = \frac{y2 - y1}{x2- x1}=\frac{4-1}{-2-7}=\frac{3}{-9} =-\frac{1}{3}\)

Therefore the slope of a line that passes through (-2, 4) and (7, 1) is \(-\frac{1}{3}\)

The ratio of amount of flour to amount of water is 8 : 3. 5 cups of flour require 15/8 cups of water

An equation is an expression that shows the relationship between two or more numbers and variables. Equations can either be linear, quadratic, cubic and so on depending on the degree.

From the recipe, 2 cups of flour require 3/4 cups of water

a) The ratio of amount of flour to amount of water = 2 cups of flour / (3/4) cups of water = 8/3 = 8 : 3

b) 2 cups of flour require 3/4 cups of water

5 cups of flour = 5 cups of flour * 3/4 cups of water per 2 cups of flour = 5 * (3/4)÷2 = 5 * 3/8 = 15/8 cups of water

5 cups of flour require 15/8 cups of water

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Answer:

Please check the attached file.

Hope this helps!

:)

Answer:

the side opposite to right angle is hypotenuse ,AB is side opposite to thita nd BC is the side adjacent to thita.

Answer:  The resulting expression is 8+9y+4, which simplifies to 12+9y.

Step-by-step explanation: To combine like terms, we add the coefficients of the terms that are the same. In this expression, the like terms are 2y and 7y. Their coefficients are 2 and 7, respectively, so when we add them we get 2+7=9. The resulting expression is 8+9y+4, which simplifies to 12+9y.

Answer:

Step-by-step explanation:

no

Answer:

C because all the other answers are just the person being curious.

The number of target that Allen missed is 5.

From the information, Allen's score in a video game was changed by -75 points because he missed some targets and he got -15 point for each missed target.

In this case, the targets that he missed will be:

= Number of total points / Value of each point

= -75 / -15

= 5

The target missed is 5.

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Answer:

(3/2)f

it doesn't really show me a good copy of the question but I hope you found this helpful

The ATI Capstone Comprehensive Assessment evaluation normally comprises of multiple-choice questions, with 90 to 130 possible answers. Certain versions may also include extra alternative questions kinds, such as fill-in-the-blank or select-all-that-apply

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Answer:  y=7,x=3

Steps:

y = 2x + 1

3x + y = 16

Substitute y = 2x + 1

3x + 2x + 1 = 16

Simplify

5x+1=16

Isolate x for 5x + 1 = 16: x = 3

For y = 2x + 1

Substitute x = 3

y = 2 · 3 + 1

Simplify

y = 7

The solutions to the system of equations are:

y = 7, x = 3

Hope This Helps!

Step-by-step explanation:

400,000x600x30/32+1

400,000x600=240,000,000x30=7,200,000,000/32=

225,000,000+1=225,000,001

Really? -_-

The given concentration of the lithium phosphate solution is 40 mg in 250 mL.To find out the concentration of phosphate ions, the molarity of the solution should be determined.

The molar mass of lithium phosphate can be calculated by adding the molar masses of its components Therefore, the molar mass of lithium phosphate By multiplying the concentration of lithium phosphate by its molar mass and dividing it by the volume of the solution, we can get the concentration of phosphate ions in the solution in moles per liter.The molarity is given by the formula: Molarity (M) = moles of solute / Liters of solution.

Therefore, the molarity of lithium phosphate solution can be calculated as follows:mass of lithium phosphate = 40.0 mg = 0.0400 gmolar mass of lithium phosphate = 101.87 g/molno. of moles = (mass of solute) / (molar mass)no. of moles = 0.0400 / 101.87no. of moles = 0.000393 MTherefore, the concentration of phosphate ions is 0.000393 M.From the previous knowledge of molarity, one mole of any monovalent ion, such as phosphate, has one equivalent.

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A student dissolves 40.0mg of lithium phosphate in enough water to make 250.0 mL of solution. The concentration of phosphate ions is 0.000393 M.

The given concentration of the lithium phosphate solution is 40 mg in 250 mL.

To find out the concentration of phosphate ions, the molarity of the solution should be determined.

The molar mass of lithium phosphate can be calculated by adding the molar masses of its components Therefore, the molar mass of lithium phosphate

By multiplying the concentration of lithium phosphate by its molar mass and dividing it by the volume of the solution, we can get the concentration of phosphate ions in the solution in moles per liter.

The molarity is given by the formula: Molarity (M) = moles of solute / Liters of solution.

Therefore, the molarity of lithium phosphate solution can be calculated as follows:

mass of lithium phosphate = 40.0 mg

= 0.0400 g

molar mass of lithium phosphate = 101.87 g/mol

no. of moles = (mass of solute) / (molar mass)

no. of moles = 0.0400 / 101.87

no. of moles = 0.000393 M

Therefore, the concentration of phosphate ions is 0.000393 M.

From the previous knowledge of molarity, one mole of any monovalent ion, such as phosphate, has one equivalent.

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Answer:

The correct option is;

(B) 30

Step-by-step explanation:

The equations are;

x² - 2·m·x - 5·n = 0.............(1)

Solution = p, q

x² - 2·p·x - 5·q = 0..............(2)

Solution = m, n

For equation (1), we have;

x² - 2·m·x - 5·n = 0 = (x - p)·(x - q)

x² - 2·m·x - 5·n = x² -x·p - x·q + q·p = x² -x·(p + q) + q·p

2·m = p + q..............(3)

5·n = -q·p..............(4)

Given the similarity between equation (1) and (2), we have;

2·p = m + n..............(5)

5·q = -m·n..............(6)

Therefore;

m = (p + q)/2

n = -q·p/5

Substituting the value of m and n in equation (5) and (6), we have;

2·p = (p + q)/2  - q·p/5.............(7)

5·q = (p + q)/2·q·p/5.............(8)

Making q the subject of equation (7) gives;

\(q = \dfrac{-7.5 \cdot p}{p -2.5}\)

Substituting the value of q above in equation (8) gives;

\(-\dfrac{75\cdot p}{2\cdot p-5}=-\dfrac{3\cdot p^{4}-30\cdot p^{3}}{4\cdot p^{2}-20\cdot p+25}\)

By cross multiplying and collecting like terms we have;

6·p⁵ -75·p⁴-150·p³+1500·p²-1875·p = 0

Which gives

(p+0)(p-1.91)(p-2.5)(p+5)(p-13.1)

p = 1.91 or 2.5 or -5 or 13.1

q = 24.27 or undef or -5 or -9.27

m = 13.09 or undef or -5 or 1.95

n = -9.27 or undef or -5 or -24.29

Therefore, p + q + m + n = 1.91 + 24.27 + 13.09 + (-9.27) = 30

The correct option is (B) 30

The equation of a line in standard form looks like this...

Points

(x1,y1) = (3 , -14)

(x2,y2) = (2 , 5)

if we substitute for the first point:

Therefore,

Now, we want to write this equation in standard form:

Therefore a=19 ; b=1 and c=43

Recovered memory in CSA refers to the new development of abusive memories. Repressed memory is when the patient believes the CSA occurred, even though they have no specific memory of the event.

Recovered memory:

The term "recovered memory" implies that at some point the memory must become inaccessible to conscious awareness (as opposed to "continuous memory"). Although the term is not ideal, it is clear that people often fail to report important events, such as known hospitalizations (Loftus, 1993). In 1995, the debate over reclaiming memory was near its most violent climax. Hundreds of people have recovered memories of child sexual abuse (CSA), and sometimes in therapy it is thought that repressed or dissociative memories need to be recovered for a person to 'heal'.

Repressed Memory:

Repressed memory is a purported psychiatric phenomenon involving the inability to recall autobiographical information, usually traumatic or stressful. The concept has its origins in psychoanalytic theory, where repression is understood as a defense mechanism that keeps painful experiences and unacceptable impulses out of awareness. Repressed memory is a controversial concept, especially in a legal context, where it is used to unjustly and inaccurately accuse individuals, causing significant harm. Meanwhile, a working group from the American Psychological Association has stated that while "most people who were sexually abused in childhood remember some or all of what happened to them, it is possible to remember long-forgotten abuses.

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The yards of ribbon purchased by Susan using amount on the debit card is equal to 32 yards.

Amount on prepaid debit card  = $20

Price of the ribbon  = 16 cents per yard

Amount left on the card after purchasing ribbon = $14.88  

Amount used to purchase ribbon

= Amount on initial amount debit card  - Amount left after purchasing ribbon

= $20.00 - $14.88 =$5.12

So Susan spent $5.12 on the ribbon.

Now ,use the price per yard to figure out how many yards she bought,

= Amount spent to buy ribbon / price of the ribbon per yard

= $5.12 ÷ $0.16 per yard

= 32 yards

Therefore, Susan bought 32 yards of ribbon with her prepaid debit card.

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The F-test should only be used to test the joint significance of multiple variables or restrictions, and should not be used to reject all the hypotheses.

When testing joint hypothesis, you should use the F-statistics and reject at least one of the hypothesis if the statistic exceeds the critical value.

This is because the F-test is designed to test the joint significance of multiple variables or restrictions. In other words, it tests whether the combination of the hypotheses is statistically significant.

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Answer:

4 hours

Step-by-step explanation:

Distance / Velocity = Time

In this case, 8 / 2 = 4

Answer:

-7z+6

Step-by-step explanation:

3z + 2 (-5z) +6

Distribute

3z-10z +6

Combine like terms

-7z+6

Answer:

-7z+6

Step-by-step explanation:

3z + 2 (-5z) +6

Multiply 2 and (-5z)

2 (-5z)=-10z

combine like terms

3z+-10z=-7z

add 6

-7z+6

Hope this helps : )

The expression ********** can be represented as 3333333333 in base four, 4444444444 in base five, and 7777777777 in base eight, according to the respective numerical systems.

a) In base four, each digit can have values from 0 to 3. The symbol "*" represents the value 3. Therefore, when we have ten "*", we can express it as 3333333333 in base four.

b) In base five, each digit can have values from 0 to 4. The symbol "*" represents the value 4. Hence, when we have ten "*", we can represent it as 4444444444 in base five.

c) In base eight, each digit can have values from 0 to 7. The symbol "*" represents the value 7. Thus, when we have ten "*", we can denote it as 7777777777 in base eight.

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The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).

To solve the given differential equation

2xy(dy/dx) = y²

We will use separation of variables and integrate to find the solution.

Start with the given equation

2xy(dy/dx) = y²

Divide both sides by y²:

(2x/y) dy = dx

Integrate both sides:

∫(2x/y) dy = ∫dx

Integrating the left side requires a substitution. Let u = y², then du = 2y dy:

∫(2x/u) du = ∫dx

2∫(x/u) du = ∫dx

2 ln|u| = x + C

Replacing u with y²:

2 ln|y²| = x + C

Using the properties of logarithms:

ln|y⁴| = x + C

Exponentiating both sides:

|y⁴| = \(e^{x + C}\)

Since the absolute value is taken, we can remove it and incorporate the constant of integration

y⁴ = \(e^{x + C}\)

Simplifying, let A = \(e^C:\)

y^4 = A * eˣ

Taking the fourth root of both sides:

y = (A * eˣ\()^{1/4}\)

Now we can incorporate the initial condition y(2) = 3

3 = (A * e²\()^{1/4}\)

Cubing both sides:

27 = A * e²

Solving for A:

A = 27 / e²

Finally, substituting A back into the solution

y = ((27 / e²) * eˣ\()^{1/4}\)

Simplifying further

y = (27 *  e⁽ˣ⁻²⁾\()^{1/4}\)

Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is

y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)

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The cost of the bag of cat food is $6.22

What is cost prize ?

The prize at which the good and services have been bought is known as cost prize.

here, the given information is :

Cost of a container of cat liter = $13.75

Cost of a bag of cat food = X dollars

Total amount of money required to purchase the items = $20.80

Percentage of sales tax that had to be given = 4%

Then,

Amount of sales tax given = (4/100) * 20.8 dollars

                                            = 20.8/25 dollars

                                            = 0.83 dollars

Then the total purchase price for the two items = 20.80 - 0.83 dollars

                                                                               = 19.97 dollars

Now we can easily find the cost of the cat food by subtracting the cost of the liter from the total purchase amount :

Cost of the cat food = 19.97 - 13.75 dollars

                                = 6.22 dollars

Therefore, the cost of the bag of cat food is $6.22

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Answer:

3.935*10^5

Step-by-step explanation:

Answer:

17h = 153, h = 9 (B)

Step-by-step explanation:

17h = 153

h = 153/17

h = 9

The 98% confidence interval for the population mean is 161.042 to 188.958

From the question, we have the following parameters that can be used in our computation:

Sample size, n = 225

Standard deviation, s = 90

Standard mean, x = 175

The 98% confidence interval is calculated using

CI = x ± (z * E)

Where:

E = s/√n

So, we have

E = 90 / √225

E = 6

The z-score at 98% CI is 2.33

So, we have

CI = 175 ± (2.33 * 6)

CI = 175 ± 13.98

Expand

CI = 161.042 to 188.958

Hence, the 98% confidence interval for the population mean is 161.042 to 188.958

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The type of sampling used in this scenario is B. Stratified sampling. Stratified sampling involves dividing the population into distinct subgroups or strata and then selecting samples from each subgroup.

In this case, Miranda divides her day into three parts: morning, afternoon, and evening. Each part of the day represents a stratum or subgroup.  Miranda measures her breathing rate at 4 randomly selected times during each part of the day. This means she is taking samples from each of the three strata (morning, afternoon, and evening) and collecting data from within those subgroups.

By using stratified sampling, Miranda ensures that her samples represent the different parts of her day in a proportional and systematic manner, allowing her to capture potential variations in her breathing rate throughout the day.

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Answer:

V = 108

Step-by-step explanation:

B = 9 x 4 = 36 Height of Triangular prism is 3 so 36 x 3 = 108

Answer:

they skided 242 feet

Step-by-step explanation:

Answer:

20x20)(20)20000)$yes