Answer:
The answer to your question is (-1, 6)
Step-by-step explanation:
Data
7x - y = -13 Equation l
-3x - y = -3 Equation ll
-Solve equation l for y
y = 7x + 13 Equation lll
-Substitute equation lll in equation ll
-3x - (7x + 13) = -3
-Solve for x
-3x - 7x - 13 = -3
-10x = 13 - 3
-10x = 10
x = 10/-10
x = -1
-Substitute x in equation lll
y = 7(-1) + 13
y = -7 + 13
y = 6
Compare and contrast pounds and ounces
Out of the two units, ounce is smaller than pound and both have traditionally been used for different purposes. Whereas ounces are used to measure precious metals and spices as they are required in smaller quantities, pounds are used to measure fruits and vegetables, and interestingly, mass of people also.
Type an equation for the following pattern
Answer:
y=35x+20
Step-by-step explanation:
The equation for the given pattern of values is y = 85x - 80, found by determining the slope and y-intercept from the provided data.
The task is to find an equation for the pattern given by x = 1, 2, 3, 4, 5, and y = 5, 90, 125, 160, 195, which we can determine by using the equation for a line, y=mx+b.
To find m, the slope, we calculate the change in y divided by the change in x between two data points. Based on the given numbers, m = (90-5)/(2-1) = 85.
Once we have m, we substitute a known point (1, 5) into y=mx+b and solve for b, giving b=5- 85*1 = -80. So, our equation for the given pattern is y = 85x - 80.
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find the area of the shape shown below
Answer:
63
Step-by-step explanation:
3x3= 9x7= 63
Mr.smith and mr.Stein We’re driving to a business meeting 100 miles from their office. Mr.smith Drove the first y miles ,then mr. Stein Drove the rest of the way.
Answer:
mrs smith drove 50 miles and mr stein drove 50 mile
Step-by-step explanation:
According to the annual Summer Vacation Survey conducted by Myvesta, a nonprofit consumer education organization, the average summer vacation costs $2252. If $1650 of this amount is charged on a credit card, what percent of the vacation cost is charged?
Answer:
The answer is : 73.3% (to 1 decimal place)
Step-by-step explanation:
The question is asking us to convert the proportion of a certain amount into percentage, and this is done as shown below:
vacation cost = $2252
amount charged = $1650
%of vacation cost that was charged = X%
∴ X% of 2252 = 1650
[tex]\frac{X}{100}[/tex] × 2252 = 1652
[tex]\frac{2252X}{100} =1650[/tex]
2252X = 165000 (dividing both sides by 2252)
[tex]\frac{2252X}{2252}=\frac{165000}{2252}[/tex]
∴ X = 165000 ÷ 2252
X = 73.3%
Find the perimeter of the shape
5cm
6cm
17cm
8cm
Perimeter = [perimeter] cm
Hey need help asap :):):):
Answer:
C Option is the right one. (•‿•)(•‿•)(•‿•)(•‿•)
Answer:
Its B
Step-by-step explanation:
Distribute and do not forget the minus in the middle and the 4 is negative
Andrea makes the claim that 20% of the states have
populations of at least 10 million people.
Is she correct?
Yes
No
Explain your thinking.
Share with Class
In order to confirm Andrea's claim that 20% of U.S. states have populations of 10 million or more, we'd need to refer to updated population census data. The number of states that comply to this number would validate or invalidate her claim.
Explanation:To determine whether Andrea's claim that 20% of the states have populations of at least 10 million people is correct, we would need to refer to updated census data. As of the most recent U.S. census, there are 50 states in the United States. If 20% of them had populations of at least 10 million, that would mean that 10 states meet this criteria. Checking the census data, we can see whether this number is accurate or not and thus confirm or deny Andrea's claim.
For example, if only 8 states had a population of over 10 million, Andrea's claim would be incorrect. On the other hand, if 15 states had a population of over 10 million, her claim would also be incorrect, but it would be an underestimation rather than an overestimation. Therefore, without specific data, we cannot unequivocally say whether Andrea's claim is correct.
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Alejandro ha hecho 3 exámenes. El primero tenía 8 preguntas, el segundo 9 y el tercero 12. Las preguntas correctas de cada uno de ellos han sido 7, 8 y 10, respectivamente. Si en cada examen todas las preguntas tenían la misma calificación ¿en cuál de ellos ha obtenido un mejor resultado?
Part A
If you spin the spinner 11 times, what is the prediction for the number of times it will land on red?
Each section is equal in size.(it's talking about the spiner)
Answer:
Part B
What is the probability of green?
A: 3/11
B:4/11
C:1/11
D:7/11
Since all sectors have the same area, the spinner is equaly likely to land on each of them. There are:
3 yellow sectors3 red sectors4 green sectors1 blue sectorObviously, this implies that there are 11 sectors in total.
So, the spinner will land on a certain color with probability
[tex]p=\dfrac{\text{\# of sectors for that color}}{\text{11}}[/tex]
Use this formula to deduce the probability of green.
Finally, you can multiply the probability of red by 11 to get the expected number of reds in 11 spins.
An object is dropped from 43 feet below the tip of the pinnacle atop a 527-ft tall building. The height h of the object after t seconds is given by the equation h equals negative 16 t squared plus 484. Find how many seconds pass before the object reaches the ground.
Answer:
5.5 seconds
Step-by-step explanation:
The function that gives the height of the object after t seconds falling is:
h = -16t^2 + 484.
To find the time when the object reaches the ground, we just need to use the value of h = 0 in the equation, and then find the value of t:
0 = -16t^2 + 484.
16t^2 = 484
t^2 = 30.25
t = 5.5 seconds
So the object will reach the ground after 5.5 seconds
Answer:
5.5 sec
Step-by-step explanation:
The height h of the object after t seconds is given by the equation
h =- 16 t²+ 484
The height would be zero when the object hits the ground. therefore equating the above equation to zero
0 = - 16 t²+ 484 (solving for t)
16 t²= 484
t² = 484/16
t²= 30.25
taking square root on B.S
t= 5.5 sec
A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than examine the records for all students, the dean randomly selects 200 students and finds that 118 of them are receiving financial aid. The 9898% confidence interval for p is 59 plus or minus 0.08 .59±0.08. Interpret this interval. A. We are 9898% confident that between 5151% and 6767% of the sampled students receive some sort of financial aid. B. We are 9898% confident that the true proportion of all students receiving financial aid is between 0. 51.51 and 0. 67..67. C. 9898% of the students receive between 5151% and 6767% of their tuition in financial aid. D. We are 9898% confident that 59% of the students are on some sort of financial aid.
Answer:
Step-by-step explanation:
Confidence interval is written as
Sample proportion ± margin of error
Margin of error = z × √pq/n
Where
z represents the z score corresponding to the confidence level
p = sample proportion. It also means probability of success
q = probability of failure
q = 1 - p
p = x/n
Where
n represents the number of samples
x represents the number of success
From the information given,
n = 200
x = 118
p = 118/200 = 0.59
q = 1 - 0.59 = 0.41
To determine the z score, we subtract the confidence level from 100% to get α
α = 1 - 0.98 = 0.02
α/2 = 0.02/2 = 0.01
This is the area in each tail. Since we want the area in the middle, it becomes
1 - 0.01 = 0.9
The z score corresponding to the area on the z table is 2.326. Thus, confidence level of 98% is 2.326
Therefore, the 98% confidence interval is
0.59 ± 2.326√(0.59)(0.41)/200
= 0.59 ± 0.08
The lower boundary is
0.59 - 0.08 = 0.51
The upper boundary is
0.59 + 0.08 = 0.67
The correct option is
B. We are 98% confident that the true proportion of all students receiving financial aid is between 0. 51 and 0. 67
The perimeter of a triangle is 19 cm. Assume the sides (in order of length from smallest to longest are a, b, c respectively). If the length of the longest side is twice that of the shortest and is 3 cm less than the sum of the lengths of the other two sides, find the lengths of each side.
Answer:
The lengths of each side are:
a = 4 cm.
b = 7 cm.
c = 8 cm.
Step-by-step explanation:
To solve this, we will write the equation out of the word problem given in the question, and this is done as follows;
sides of the triangle from smallest to longest = a, b, c
perimeter of the triangle = a + b + c = 19 cm - - - - - - - - - (1)
Length of the longest side is twice that of shortest side; c = 2a - - - - - - (2)
length of longest side is equal to 3 cm less than the sum of the lengths of the other two sides; c = (a + b) - 3 - - - - - - - (3)
therefore:
a + b + c = 19 - - - - - (1)
c = 2a - - - - - - - - - - (2)
c = (a + b) - 3 - - - - - - - - (3)
putting equation (2) into equation (1)
a + b + (2a) = 19
3a + b = 19 - - - - - - (4)
Substituting for c in equation (3) using equation (2)
c = (a + b) - 3 - - - - - - - - (3) (replacing c with 2a from equation 2)
2a = a + b - 3 (making b the subject)
2a - a = b - 3
∴ b = 2a - a + 3
b = a + 3 - - - - - - -(5)
substituting for the value of b in equation (4), using equation 5
3a + b = 19 - - - - - - (4) ( replacing b with equation 5)
3a + (a + 3) = 19
4a + 3 = 19
4a = 19 - 3 = 16
∴ a = 16 ÷ 4 = 4
since, we know 'a', calculating for b, using equation 5;
b = a + 3 - - - - - - -(5) (where a = 4)
∴ b = 4 + 3 = 7
Finally calculating for c, using equation 2
c = 2a - - - - - - - (2) (where a = 4)
c = 2 × 4 = 8
Therefore:
a = 4; b = 7 ; c = 8
Find the circumferences of both circles to the nearest tenth.
I need to The circumference of the blue circle and The circumference of the orange circle please and thank you!
Answer:
Step-by-step explanation:
C=pi (d) circumference = pi (3.14) times the diameter which is 10, because the radius 5 and diameter is twice the radius..........
you can also use Formula C=2pi r which will give you the same answer.
31.4 cm for orange circle
the diameter (all the way through the center of the circle) for blue circle would be 20
C=pi (d) 3.14 times 20= 62.8 cm for blue circle
The circumferences of both circles to the nearest tenth is 31.4 cm for the orange circle and 62.8 cm for the blue circle.
Calculation of the circumference:Since the diameter is 10 so the radius is 5
Now for the orange, it should be
= 2(3.14) (5)
= 31.4 cm
And, for the blue circle, it should be
= 2(3.14) (20)
= 62.8
Hence, The circumferences of both circles to the nearest tenth is 31.4 cm for the orange circle and 62.8 cm for the blue circle.
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On december 1, jonas jewelry wholesale center started with an inventory of 1,000 watches. shipments of 168, 231, and 411 were sent out on january 3, february 8, and march 7, respectively. receipts of 21, 145, and 11 were received on january 8, february 22, and march 18. find the number of watches on hand as of march 18. 1,732 424 367 1,633
Answer: Third option is correct.
Step-by-step explanation:
Since we have given that
Total watches in an inventory = 1000
Number of shipments sent out = 168, 231, 411
So, Remaining inventory of watches would be :
[tex]1000-(168+231+411)\\\\=1000-810\\\\=190[/tex]
New receipts = 21, 145 and 11
So, Number of watches on hand becomes :
[tex]190+(21+145+11)\\\\=367[/tex]
Hence, Third option is correct.
5x - 2y = 30 if 8 = x
Answer:
Y=5
Step-by-step explanation:
If x = 8 then y = 5
Step-by-step explanation:Plug x into the equation and solve
5x - 2y = 30 <- Rewrite
5(8) - 2y = 30 <- Plug x in
40 - 2y = 30 <- Simplify
-40 -40 <- Get y alone
-2y = -10 <- Simplify
y = 5 <- Divide both sides by -2 to get y
True or False?
You can use an equilateral triangle in front of the three letter points to name a triangle.
True.
I'm not sure if it's right or not
Answer:
True
Step-by-step explanation:
I am not sure if it's right or not
Jacob makes 20 baskets for every 35 times he shoots the ball. What is the ratio of baskets he makes to baskets he misses? Write an equivalent ratio by simplifying.
Answer:
ratio = 4/3 = 1.3333
Step-by-step explanation:
If Jacob makes 20 baskets for every 35 times he shoots the ball, that means he misses 35 - 20 = 15 shoots for every 35 shoots.
So, to calculate the ratio of baskets he makes to baskets he misses, we just need to divide these values:
baskets he makes = 20 for every 35
baskets he misses = 15 for every 35
ratio = 20 / 15 = 4 / 3 = 1.3333
16 is what percent of 25?
Answer
64%
Step-by-step explanation:
cross multiply
16/25 = x/100
16 X 100 = 1600
25x=1600
/25 /25
that = 64 which is 64%
16 is 64.0% of 25.
To determine what percent 16 is of 25, follow these steps:
Identify the given values:
• The part (numerator): 16
• The whole (denominator): 25
Set up the percentage formula:
[tex]\text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100[/tex]
Substitute the given values into the formula:
[tex]\text{Percentage} = \left(\frac{16}{25}\right) \times 100[/tex]
Perform the calculation:
[tex]\text{Percentage} = \left(0.64\right) \times 100 = 64.0[/tex]
Jen rode her bike 1/5 of a mile to her friend's house. It took her 5 minutes to get there. What was Jen's speed?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
Jen's speed was 1/25 miles per minute or 2.4 miles per hour. This was found by dividing the distance travelled by the time it took.
Explanation:To find Jen's speed, we need to divide the distance she rode by the time it took her. In this case, Jen rode 1/5 of a mile in 5 minutes. To get her speed in miles per minute, we perform the division:
1/5 mile ÷ 5 minutes = 1/25 miles per minute
This means that Jen's speed was 1/25 miles per minute. You could also convert this to miles per hour if you prefer, by multiplying the result by 60 (since there are 60 minutes in an hour). In that case:
1/25 miles per minute x 60 minutes/hour = 2.4 miles/hour.
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Jen's speed was 1/25 miles per minute, calculated by dividing the distance traveled, 1/5 mile, by the time taken, 5 minutes.
Explanation:To determine Jen's speed, we would divide the distance she traveled by the time it took her to get there. Jen rode her bike for 1/5 of a mile, and it took her 5 minutes. To find her speed in miles per minute, we perform the following calculation:
Speed = Distance ÷ Time
Speed = (1/5) mile ÷ 5 minutes = 1/5 ÷ 1/5 = 1/25 miles per minute.
We don't need to convert the units since we are asked to provide the answer as a proper fraction. Therefore, Jen's speed was 1/25 miles per minute.
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After stepping into a room with unusual lighting, Erik's pupil has a radius of 4 millimeters. What is the pupil's area?
The area of the pupil can be found using the formula for the area of a circle (Area = π × r²). When you substitute the given radius (4mm), the pupil's area comes out to be approximately 50.27 square millimeters.
Explanation:To calculate the area of a circle which in this case is the pupil, you need to use the formula, Area = π × r², where r is the radius of the circle. Here, the radius (r) of the pupil is 4 millimeters. Substituting r = 4 mm in the formula we get:
Area = π × (4 mm)²
Area = π × 16 mm²
So, the area of the pupil is 16π mm², which is about 50.27 mm² when calculated. Please note that the unit of the area is square millimeters since we are calculating the area.
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The pupil's area can be calculated using the formula A = πr^2, where r is the pupil's radius, the area is 50.27 square millimeters.
Explanation:The area of a circle can be calculated using the formula A = πr2, where A is the area and r is the radius of the circle. In this case, the pupil's radius is given as 4 millimeters, so we can substitute this value into the formula.
A = π(4 mm)2 = π16 mm2
Therefore, the pupil's area is approximately 50.27 square millimeters.
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Is the product of two positive numbers negative?
Answer:
Product (Multiplication) always needs a negative to be negative
Step-by-step explanation:
A multiplier is the amount by which a change in any component of _____ is magnified or multiplied to determine the change in _____ and _____ that it generates.
Answer:
Autonomous Expenditure ; Equilibrium expenditure ; Real GDP
Step-by-step explanation:
A multiplier is the amount by which a change in any component of Autonomous Expenditure is magnified or multiplied to determine the change in Equilibrium Expenditure and Real GDP that it generates.
Multiplier = Change in Equilibrium Expenditure of Real GDP
Change in autonomous expenditures
(government expenditure, autonomous taxes)
What is the value of n when (9)^2n-1 =(27)^n+2
Answer:
n = 8
Step-by-step explanation:
Using the rule of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
Given
[tex](9)^{2n-1}[/tex] = [tex](27)^{n+2}[/tex], then
[tex](3^2)^{2n-1}[/tex] = [tex](3^3)^{n+2}[/tex]
[tex]3^{4n-2}[/tex] = [tex]3^{3n+6}[/tex]
Since the bases on both sides are equal, both 3 then equate the exponents
4n - 2 = 3n + 6 ( subtract 3n from both sides )
n - 2 = 6 ( add 2 to both sides )
n = 8
Answer:
n = 8
Step-by-step explanation:
9²ⁿ⁻¹ = 27ⁿ⁺²
(3²)²ⁿ⁻¹ = (3³)ⁿ⁺²
3⁴ⁿ⁻² = 3³ⁿ⁺⁶
4n - 2 = 3n + 6
4n - 3n = 6 + 2
n = 8
How do you construct a box plot?
Answer:
to draw a box plot? The median, mean and standard deviation. The minimum, maximum, median, first and third quartiles. The median and interquartile range.
Step-by-step explanation:
Kel has 6 nickels, 2 dimes and 4 quarters in his pocket. What is the likelihood that Kel will choose a nickel from his pocket?
A. impossible
B. likely
C. as likely as not
D. certain
Answer:
B likely
Step-by-step explanation:
the probability is 1/2 because there are 12 coins and 6 of them are nickels
A machine drops 74 milliliters of liquid into a beaker every minute. Using an empty beaker, Sarah started the machine and left the room. When she returned, the beaker had 1,850 milliliters of liquid in it. Select the correct operation that can be used to find the time in minutes, m, that Sarah was out of the room, and then find the value of m. Sarah was out of the room for minutes.
Answer:
Division, you can divide the total amount of total milliliters buy the number of milliliters dropped every minute. 1850/74= 25. So m= 25. Sarah left the room for 25 minutes
Step-by-step explanation:
pls mark me brainliest
STVZ~JHGF. Find the value of X
Helppp me please!!!!!
Answer:
3^-2 = 1/3^2 = 1/9
Step-by-step explanation:
3^4 * 3^-6
Using the properties of exponents
We know that a^b * a^c = a^(b+c)
3^4 * 3^-6 = 3^-2
If we only want positive exponents
We know that a^-b = 1/a^b
3^-2 = 1/3^2 = 1/9
We can also look at it
The negative exponent puts the 3's in the denominator
3*3*3*3 * 1/ (3*3*3*3*3*3)
Canceling
1/ (3*3)
1/9
What is a equation using (h) hours and (c) cookies?
Answer:
There are 12 cookies (c). It takes 2 hours (h) to bake 1 cookie. How long will it take to bake 12 cookies?