Darla scored 18 points in her last basketball game, shooting only 2- and 3-point shots. If she made 7 total
Answers
Answer:
3 2-pt shots, 4 3-pt shots
Step-by-step explanation:
2x + 3y = 18
x + y = 7, so x = 7 - y
Substitute in for x
2(7 - y) + 3y = 18
14 - 2y + 3y = 18
14 + y = 18
y = 4
Now put 4 in for y to solve for x
2x + 3(4) = 18
2x + 12 = 18
2x = 6
x = 3
Related Questions
y varies inversely
as x.
When x = 12, y = 10
Find the values of x when
y = x + 7
Answers
Mario is making dinner for 6 people. Mario buys 8 containers of soup. Each container is 12 ounces. If
everyone gets the same amount of soup, how much soup will each person get?
Answers
Answer:
16 ounces per person
Step-by-step explanation:
8 x 12= 96 ounces
96 divided by 6 people = 16 ounces per person
I’ll give brainliest to the first answer
Answers
Answer:
52
Step-by-step explanation:
4 1/2 x + 2x
Let x = 8
4 1/2 (8) + 2(8)
Change to an improper fraction
9/2(8) +2(8)
36+16
52
Please type out the correct one for me out of those 2 thanks <4
Answers
Answer:
1.2n=0.45n+1.5
Step-by-step explanation:
The Venn diagram below shows the events A and B, and the probabilities p, q and r.
It is known that P(A)=0.43 , P(B)=0.62 and P(A∩B)=0.27 .
Calculate the value of p
Calculate the value of q
Calculate the value of r
Find the value of P (A given NOT B)
Answers
The value of q is 0.35.
The value of p is 0.16.
The value of r is 0.27.
The value of P(A given NOT B) is approximately 0.4211.
To calculate the values of p, q, and r, we can use the information provided in the Venn diagram and the probabilities of events A and B.
Given:
P(A) = 0.43
P(B) = 0.62
P(A∩B) = 0.27
Calculating the value of p:
The value of p represents the probability of event A occurring without event B. In the Venn diagram, p corresponds to the region inside A but outside B.
We can calculate p by subtracting the probability of the intersection of A and B from the probability of A:
p = P(A) - P(A∩B)
= 0.43 - 0.27
= 0.16
Therefore, the value of p is 0.16.
Calculating the value of q:
The value of q represents the probability of event B occurring without event A. In the Venn diagram, q corresponds to the region inside B but outside A.
We can calculate q by subtracting the probability of the intersection of A and B from the probability of B:
q = P(B) - P(A∩B)
= 0.62 - 0.27
= 0.35
Therefore, the value of q is 0.35.
Calculating the value of r:
The value of r represents the probability of both event A and event B occurring. In the Venn diagram, r corresponds to the intersection of A and B.
We are given that P(A∩B) = 0.27, so the value of r is 0.27.
Therefore, the value of r is 0.27.
Finding the value of P(A given NOT B):
P(A given NOT B) represents the probability of event A occurring given that event B does not occur. In other words, it represents the probability of A happening when B is not happening.
To calculate this, we need to find the probability of A without B and divide it by the probability of NOT B.
P(A given NOT B) = P(A∩(NOT B)) / P(NOT B)
We can calculate the value of P(A given NOT B) using the provided probabilities:
P(A given NOT B) = P(A) - P(A∩B) / (1 - P(B))
= 0.43 - 0.27 / (1 - 0.62)
= 0.16 / 0.38
≈ 0.4211
Therefore, the value of P(A given NOT B) is approximately 0.4211.
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2x/5 + 5/8 = 1/4 help
Answers
\( \frac{2x}{5} + \frac{5}{8} = \frac{1}{4} \)
\( \frac{2x}{5} = \frac{1}{4} - \frac{5}{8} \)
\( \frac{2x}{5} = \frac{2}{8} - \frac{5}{8} \)
\( \frac{2x}{5} = \frac{2 - 5}{8} \)
\( \frac{2x}{5} = \frac{ - 3}{8} \)
\(2x = \frac{ - 3}{8} \times 5\)
\(2x = \frac{ - 15}{8} \)
\(x = \frac{ - 15}{8} \div 2\)
\( x = \frac{ - 15}{8} \times \frac{1}{2} \)
\(x = - \frac{ 15}{16} \)
I’ll mark brainlist
No links
Answers
Answer:
3/8 = 9/24
7/6 = 28/24
Step-by-step explanation:
Need help on parabola problem
Answers
Answer:
x = 4
Step-by-step explanation:
This axis of symmetry is also called the turning point.
When you are multiplying like bases with exponents, you will also multiply the exponents together and leave the same base in your solution.
TRUE or FALSE?
Answers
come on now
\(\underset{\textit{like-bases with exponents}}{5^{11}\cdot 5^3\cdot 5^{17}}\implies \stackrel{\textit{add the exponents}}{\underset{\textit{keep the base}}{5^{11+3+17}}}\implies 5^{31}\)
You would like to have $20,000 to use a down payment for a home in five years by making regular, end-of-month deposits in an annuity that pays 6% interest compounded monthly. How much of the $20,000 down payment comes from interest earned? Round your answer to the nearest cent. Do NOT round until you have calculated the final answer. Do NOT include the dollar sign in the answer box below.
Answers
Using compound interest, it is found that $5,172.56 comes from interest earned
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.In this problem:
$20,000 is required in five years, hence t = 5, A(5) = 20000.Interest rate of 6%, hence r = 0.06.Monthly compounding, hence n = 12.First, we have to find the principal needed, hence:
\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)
\(20000 = P\left(1 + \frac{0.06}{12}\right)^{12(5)}\)
\(P = \frac{20000}{(1.005)^{60}}\)
\(P = 14827.44\)
Hence:
$14,827.44 comes from the principal.$5,172.56 comes from interest earned, as $20,000 - $14,827.44 = $5,172.56.To learn more about compound interest, you can take a look at https://brainly.com/question/25781328
Answer:
Step-by-step explanation:
The morning temperature in Finland was -18.3° F. The temperature rose 23.7°F during the day before reaching its high temperature for the day What was the high temperature for the day? I need helpppppppp
Answers
Answer:
5.4 degress
Step-by-step explanation:
The starting tempereture is -18.3 deegress and the it increased by 23.7 throughout the day. so we can convert this into a expression.
-18.3+23.7 = ?
this is the same thing as 23.7-18.3.
23.7-18.3=5.4
So the answer is 5.4 degress,
hope this helps!
The temperature for the day is 5.4° F.
What is Measurement unit?
A measurement unit is a standard quality used to express a physical quantity.
Given that;
The starting temperature is -18.3 degrees and then it increased by 23.7 throughout the day.
Now, We can formulate as;
23.7 + (-18.3)
Solve as;
= 23.7 + (-18.3)
= 23.7 - 18.3
= 5.4
So, The temperature for the day is 5.4° F.
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This is what I meant to ask lol
Answers
Answer:
false
Step-by-step explanation:
theyre not proportional because 100*2=200 but 35*2 is not 45 :)
Answer:
True
Step-by-step explanation:
The miles column is increasing steadily by 100The cost column is increasing steadily by 10Neither column is changing the amount that's being increased and neither is decreasing after an increase, therefore, the answer is true.I hope this helps!
Samples of a cast aluminum part are classified on the basis of surface finish (in microinches) and edge finish. The results of 100 parts are summarized as follows:
Edge Finish
Excellent Good
Surface Excellent 80 2
Finish Good 10 8
Let A denote the event that a sample has excellent surface finish, and let B denote the event that a sample has excellent edge finish. If a part is selected at random, determine the following probabilities:
a) P(A)
b) P(B)
c) P(A')
d) P(A ∩ B)
e) P(A ∪ B)
f) P(A' ∪ B)
Answers
Answer:
Step-by-step explanation:
From the question:
The given table is as follows:
Edge Finish
Excellent Good
Surface Excellent 80 2
Finish Good 10 8
So, we are being told that,
A represent the event that a sample has an excellent surface finish, and let B denote the event that a sample has excellent edge finish
The objective is to fin the following probabilities
P(A)
A = (80 +2) = 82
The total samples of cast = 80 + 10 +2 + 8 = 100
∴ P(A) = 82/100
P(A) = 0.82
P(B)
B = 80+10
B = 90
P(B) = 90/100
P(B) = 0.90
c) P(A')
(A') are the sets that are not in A but they are in the samples
i,e
(A') = 100 - 82
(A') = 18
So;
P(A') = 100/18
P(A') = 5.56
d) P(A ∩ B)
A = ( 80, 2)
B = (80,10)
The intersection of A and B (i.e. A ∩ B) is the common value between them which is 80
P(A ∩ B) = 80/100
P(A ∩ B) = 0.80
e) P(A ∪ B)
A = ( 80, 2)
B = (80,10)
The union of A and B is the addition of A and B
i.e. 80+2+10 = 92
P(A ∪ B) = 92/100
P(A ∪ B) = 0.92
f. P(A' ∪ B)
A' = (10, 8)
B = (80,10)
The union of A complement and B is
(A' ∪ B) = 10 + 8 + 80
(A' ∪ B) = 98
P(A' ∪ B) = 98/100
P(A' ∪ B) = 0.98
find the slope and yintercept if the equation of line a
\( \frac{1}{3} x - \frac{2}{3} y + 1 = y + x\)
Answers
Answer:
Step-by-step explanation:
In our equation, y = 6x + 2, we see that the slope of the line is 6. The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept. In our equation, y = − 7 x + 4, we see that the y-intercept of the line is 4.
95% of what number is 114?
Answers
114 is 95% of 120
100% of 120 is 120, therefore 95 percent of 120 equals 114. To learn how to solve 114 is 95 percent of what number, see the step-by-step instructions below.
114 is 95 Percent of What Number?
Formula = Number x 100
Percent = 114 x 100
95 = 120
The following shows the steps to derive this formula and find out 95% of the number is 114.
Step 1: If 95% of a number is 114, then what is 100% of that number? Set up the equation.
114
95% = Y
100%
Step 2: Solve for Y
Using cross multiplication of two fractions, we get
95Y = 114 x 100
95Y = 11400
Y = 11400
100 = 120
Solve each equation by completing the square.
d² - 24d + c
Answers
Answer:
d² - 24d + c = (d - 12)² - 144 + c
Find the linear approximation of the function f(x) = √4-x at a = 0 and use it to approximate the numbers √3.9 and √3.99 ?
Answers
Answer:
1.9975
Step-by-step explanation:
The computation of the linear approximation of the given function is shown below:
L(x) = 2 - 1 ÷ 4(x)
As we are looking for √3.9
So here
x = 0.1
So
= 4 - 0.1
= 3.9
Now
L(0.1) = f(3.9) = 2 - (0.1 ÷ 4)
= 1.975
now
substitute the x = 0.01
Then
L(0.01) = f(3.99) = 2 - (0.01 ÷ 4)
= 1.9975
We simply applied the above equations
Is the following an example of a simile, metaphor, or personification?
will give brainliest if you explain
I feel like a million bucks.
metaphor
simile
personification
Answers
Answer:
Simile
Step-by-step explanation:
Metaphor: A comparison of two things without the use of “like” or “as”
Simile: A comparison of two things using “like” or “as”
Personification: Giving human qualities to non-human things
Evaluate x³ ÷ 3 - y when x = 3 and y = 1.
Answers
Answer:
2
Step-by-step explanation:
x is 3
y is 1
hence substitute: (3x3)divide by 3 - 1
is equal to 2
\(\huge\text{Hey there!}\)
\(\mathsf{x^3 \div 3 - y}\\\\\mathsf{= \dfrac{x^3}{3} - y}\\\\\mathsf{= \dfrac{3^3}{3} - 1}\\\\\mathsf{= \dfrac{3\times3\times3}{3} - 1}\\\\\mathsf{= \dfrac{9\times3}{3} - 1}\\\\\mathsf{= \dfrac{27}{3} - 1}\\\\\mathsf{= 9 - 1}\\\\\mathsf{= 8}\)
\(\huge\text{Therefore, your answer should be:}\)
\(\huge\boxed{\frak{8}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
. Choose the correct answer to 992 = 16. 62 R1 61 R16 62 63 please help me
Answers
Answer:
The answer is 62
Step-by-step explanation:
You just need to simply divide. 992÷16 is equivalent to 62 with no remainder.
Find measure of angle b
Answers
Answer:
22°
Step-by-step explanation:
cos B = (c2 + a2 − b2)/2ca
cos B = (\(10^{2}\) + \(6^{2}\) - \(5^{2}\))/ 2(10)(6)
cos B = .925
\(cos^{-1}\) B = 22.33
The income elasticity is +2 and income increases by
20%. Sales were 5000 units, what will they be now?
Answers
Answer:
Step-by-step explanation:
The income elasticity is +2.5 and income increases by 20%. Sales were 5000 units, what will they be now? If the income elasticity is +2.5, income increases by 20% and sales were 5000 units, then the sales will increase by 20%*2.5 = 50% to 7500 units.
There were94,172 People at a football game on Saturday on Monday 1000 fewer people were at the football game in word form how many people were at the football game on Monday.
Answers
Answer:
93,172
Step-by-step explanation:
94,172-1,000
The scale of a map says that 4 cm represents 5 km.What is the actual number of kilometers that is represented by 5 centimeters on the map?
Answers
Hey there! I'm happy to help!
We see that 4 cm represents 5 km. We want to see how much 5 cm represents.
To get from 4 cm to 5 cm, you multiply by 5/4. So, we multiply our 5 km by 5/4 to see how kilometers are represented by 5 centimeters on the mask.
5(5/4)=6 1/4
Therefore, the number of km represented by 5 cm on the map is 6 1/4 km.
Have a wonderful day! :D
Which of the following is expected if the null hypothesis is true for an analysis of variance?
a. SS (between) should be about the same size as SStotal
b. SS (between) should be about the same size as SSwithin
c. MS (between) should be about the same size as MStotal
d. MS (between) should be about the same size as MSwithin
Answers
The null hypothesis is true for an analysis of variance -MS (between) should be about the same size as MS within. Option (d) is the correct answer.
If the null is true, MS between and MS within should be about the same since they are both estimates of the same quantity (variance).
The null hypothesis is a characteristic arithmetic theory that suggests that no statistical relationship and significance exists in a set of given, single, observed variables between two sets of observed data and measured phenomena.
The null hypothesis in statistics defines that there is no difference between groups or no relationship between variables.
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The figure is cut into 15 equal pieces. Shade 2/5 of the figure
Answers
Answer: Shade 6 pieces
Step-by-step explanation:
Because 2/5 of 15 is 6
Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options. 8(x2 + 2x + 1) = –3 + 8 x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot x = –1 Plus or minus StartRoot StartFraction 4 Over 8 EndFraction EndRoot 8(x2 + 2x + 1) = 3 + 1 8(x2 + 2x) = –3
Answers
The steps peter could use in solving the quadratic equation is by applying the quadratic formula; x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot
How to solve quadratic equation?8x² + 16x + 3 = 0
using Quadratic formula
The following steps are involved
\(x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }\)
\(x = \frac{ -16 \pm \sqrt{16^2 - 4(8)(3)}}{ 2(8) }\)
\(x = \frac{ -16 \pm \sqrt{256 - 96}}{ 16 }\)
\(x = \frac{ -16 \pm \sqrt{160}}{ 16 }\)
\(x = \frac{ -16 \pm 4\sqrt{10}\, }{ 16 }\)
\(x = \frac{ -16 }{ 16 } \pm \frac{4\sqrt{10}\, }{ 16 }\)
\(x = -1 \pm \frac{ \sqrt{10}\, }{ 4 }\)
\(x = -1 \pm \frac{ \sqrt{5}\, }{ 2 }\)
\(x = -0.209431\)
or
\(x = -1.79057\)
Therefore, the steps peter could follow will give the result
\(x = -1 \pm \frac{ \sqrt{5}\, }{ 2 }\)
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Which of the following numbers is the smallest
Answers
The smallest number from the folowing option is A . 0.0082.
What is the number pattern?A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.
The given numbers are;
0.0082
1/3
0.048
0.36
1/9
thus, The smallest number from the folowing option is A . 0.0082.
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A barbecue restaurant gives 3 napkins for every 5 items ordered. if an order is for 30 items, how many napkins should be given? Use the double number line diagram to solve.
Answers
Answer:
18 napkins
Step-by-step explanation:
If the restaurant gives 3 napkins for every 5 items ordered, and there's 30 items... you must divide 30 by 5 which is 6. Then, multiply 6 by 3. Therefore the answer is 18.
\(30 \div 5 = 6\)
\(6 \times 3 = 18\)
Hope this helped:)
Answer:
18 napkins
Step-by-step explanation:
A bag contains 8items of which two are deffective.A man selects 3 items
Answers
When a man selects 3 items, the probability that they're all defective will be 1/64.
How to calculate the probability?Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.
From the information, bag contains 8items of which two are deffective. The probability of a defective item is:
= 2/8
= 1/4
When a man selects 3 items, the probability that they're all defective will be:
= (1/4)³
= 1 / 64
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Complete question
A bag contains 8items of which two are deffective. A man selects 3 items, what is the probability that they're all defective?