Jake went on a road trip with his family this summer. On Monday, they drove 629 miles. Tuesday, they drove 215 miles. On Wednesday, they only drove 111 miles. And, on Thursday, they drove 588 miles. Estimate the total number of miles Jake's family traveled by rounding each value to the hundreds place. 1,200 1,300 1,400 1,500
Answer:
D
Step-by-step explanation:
One cubic centimeter of sand weighs 1.9 grams. Find the amount of sand that the sandcastle bucket can hold.
Answer:
5.586
Step-by-step explanation:
Graph y= 1/3x+3 .I just need to know the plots
Answer:
The graph shows the given straight line.
Step-by-step explanation:
We are given an equation:
[tex]y = \displaystyle\frac{1}{3}x + 3[/tex]
The attached image shows the graphical plot for the given equation.
If we compare the given equation to the
[tex]y = mx+c[/tex]
where m is the slope and c is the y-intercept of the straight line.
Comparing, we get:
[tex]m = \displaystyle\frac{1}{3}\\\\c = 3[/tex]
The line will pass by the points (-3, 2), (0, 3), and (3, 4)
Given is an equation y = x/3+3 we need to graph it,
Let's pick a few x-values and determine the y-values that go with them:
Y equals (1/3) when x = -3(-3) + 3 = -1 + 3 = 2
Y = (1/3)(0) + 3 = 0 + 3 = 3 when x = 0.
Y = (1/3)(3) + 3 = 1 + 3 = 4 for x = 3.
The points (-3, 2), (0, 3), and (3, 4) can now be plotted on the coordinate plane.
A straight line running across these locations will form the graph.
The line will have a positive slope because the value of x is positive (1/3).
Given that the y-intercept is 3, the line will cross the y-axis at (0, 3).
The plotted points (-3, 2), (0, 3), and (3, 4) lie on the line, and the line continues indefinitely in both directions.
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A trowel is in the shape of a trapezoid. For what value of x is the trapezoid am isosceles trapezoid
A trapezoid becomes an isosceles trapezoid when its non-parallel sides, or legs, are of equal length. Thus, for a given length x, an isosceles trapezoid requires both legs to be x in length.
Explanation:A trapezoid is a geometric shape with one pair of parallel sides. A trapezoid becomes an isosceles trapezoid when the non-parallel sides (the legs) are equal in length. If we denote the length of the legs as x, then the trapezoid becomes an isosceles trapezoid when both legs are of equal length, meaning x equals x.
Without additional information such as the lengths of the base and height of the trapezoid or the angles within it, we cannot provide a specific numerical value for x. The key to remember here is that an isosceles trapezoid has equal length legs - so whatever value you have for one leg, the other leg must be the same for it to qualify as an isosceles trapezoid.
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Which explains how to determine 40% of 50?
Refer to the figure below to complete the following item. Given: Quadrilateral ROSE is trapezoid with median If MN = 24 and ES = 10, then RO = 27 30 38
Answer:
The length of RO is 38.
Step-by-step explanation:
Given information: ROSE is trapezoid with median If MN = 24 and ES = 10.
Sufficient information is not given. This question can be solved if it is given that [tex]RO\parallel ES[/tex].
According to the properties of trapezoid the length of the median is the average of length of parallel sides.
Let [tex]RO\parallel ES[/tex] and length of RO be x.
Since MN is median, therefore
[tex]MN=\frac{RO+ES}{2}[/tex]
[tex]24=\frac{x+10}{2}[/tex]
[tex]48=x+10[/tex]
[tex]x=38[/tex]
Therefore length of RO is 38.
A cylinder has a radius of 10 feet and a height of 11.4 feet. What is the approximate volume of the cylinder? Use 3.14 for pi.
A: 114.0 ft3
B: 228.0 ft3
C: 2145.1 ft3
D: 3579.6 ft3
WORTH 50 POINTS!!!!!!
Which set of points lies on the graph of x = -2?
Hannah completed 3/4 of her homework on Saturday morning and 1/8 ofit on Saturday night. How much more homework does she need to complete?
Please help!! A fire hydrant 2.5 feet high casts a 5 foot shadow. How tall is a street light that casts a 26 foot shadow at the same time?
HELP ME PLEASE!!
Does each transformation map a triangle in Quadrant II to Quadrant I?
Select Yes or No for A-C.
Which of these is the best description of a random sample?
A _____ is a type of variable that is not accounted for in a research experiment.
a. independent variable
b. dependent variable
c. confounding variable
What are the two equations created by the inequality |x–12| + 5 < 27? y1= and y2=
Answer:
y1= |x-12|
y2= 22
Which graph represents the two functions? Graph 3
Step-by-step explanation:
Need help I dont know how to do this please help!
2. Graph the number on a number line.
10/7
PLEASE HELP ME!!!!!!!!!
Question 1: if you were to calculate a confidence interval using a confidence level of 0.9 and then calculated a second confidence interval using the same data but changed the confidence level to 0.95, would the interval be more narrow or wider?
The 95 percent confidence interval is wider than the 90 percent confidence interval because the 95 percent level of confidence includes more of the distribution. This means there is a greater level of certainty that the true value of the population mean is contained within the interval.
Explanation:The 90 percent confidence interval is (67.18, 68.82). The 95 percent confidence interval is (67.02, 68.98). The 95 percent confidence interval is wider. If you look at the graphs, because the area 0.95 is larger than the area 0.90, it makes sense that the 95 percent confidence interval is wider. For more certainty that the confidence interval actually does contain the true value of the population mean for all statistics exam scores, the confidence interval necessarily needs to be wider.
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Jeannette earns $3.50 per hour and 4% commission on the gross amount of
her sales. How much did she earn the week she worked 35 hours and sold
$4,550 worth of merchandise?
a. $304.50
b. $182
c. $186.90
d. $122.50
HELP ASAPPP
Willem bought a jacket on sale. the price was 40% off the original price of $60. how much did he pay? answer
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The Polygons are similar, but not necessarily drawn to scale. Find the value of x.
The first team of workers received 50 kg of cement less than the second team. for every hour of work the first team was using 150 kg of cement, while the second team was using 200 kg. in three hours the first team had 1.5 times as much remaining cement as the second team. how much cement was delivered to each team of workers
To find out how much cement was delivered to each team, we can set up an equation based on the information provided and solve for the unknowns.
Explanation:Let's denote the amount of cement delivered to the second team as x kg. According to the question, the first team received 50 kg less, so they received x - 50 kg of cement.
The first team used 150 kg of cement every hour for 3 hours, so they used a total of 150 * 3 = 450 kg of cement. Therefore, they had 1.5 times as much remaining cement as the second team, which means they had 1.5 * (x - 50) kg of cement remaining.
Since we know that the remaining cement of the first team is equal to 450 kg, we can set up the following equation: 1.5 * (x - 50) = 450. Solving this equation will give us the amount of cement delivered to each team.
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The first team received 750 kg of cement, and the second team received 800 kg of cement.
Let's denote the amount of cement delivered to the first team as [tex]\( x \)[/tex]kg and to the second team as[tex]\( y \)[/tex] kg. According to the problem, we have the following information:
1. The first team received 50 kg of cement less than the second team: [tex]\( x = y - 50 \)[/tex].
2. The first team uses 150 kg of cement per hour, and the second team uses 200 kg per hour.
3. After three hours of work, the first team has 1.5 times as much remaining cement as the second team.
Let's calculate the amount of cement used by each team after three hours:
- The first team uses [tex]\( 150 \times 3 = 450 \)[/tex] kg of cement.
- The second team uses [tex]\( 200 \times 3 = 600 \)[/tex] kg of cement.
Now, let's denote the remaining cement for the first team as [tex]\( R_1 \)[/tex] and for the second team as [tex]\( R_2 \)[/tex]. We can set up the following equations:
For the first team: [tex]\( R_1 = x - 450 \)[/tex].
For the second team: [tex]\( R_2 = y - 600 \)[/tex].
According to the problem, the remaining cement for the first team is 1.5 times that of the second team: [tex]\( R_1 = 1.5 \times R_2 \).[/tex]
Substituting the expressions for[tex]\( R_1 \)[/tex] and [tex]\( R_2 \)[/tex] into the equation, we get:
[tex]\( x - 450 = 1.5 \times (y - 600) \).[/tex]
Now, we can substitute[tex]\( x = y - 50 \)[/tex] into the equation:
[tex]\( (y - 50) - 450 = 1.5 \times (y - 600) \),[/tex]
[tex]\( y - 500 = 1.5y - 900 \),[/tex]
[tex]\( 0.5y = 400 \),[/tex]
[tex]\( y = 800 \).[/tex]
Now that we have [tex]\( y \)[/tex], we can find [tex]\( x \)[/tex]:
[tex]\( x = y - 50 \),[/tex]
[tex]\( x = 800 - 50 \)[/tex],
[tex]\( x = 750 \).[/tex]
Sam used 2 gallons of gas to drive 50 miles and 4 gallons of gas to drive 100 miles. Is this a proportional relationship? Explain your reasoning.
Sam's gas usage is a proportional relationship because he gets a constant 25 miles per gallon in both given scenarios.
Yes, this is a proportional relationship. To determine proportionality, we can calculate the gas mileage for each scenario. Gas mileage is calculated by dividing the number of miles driven by the number of gallons used. For the first scenario, the gas mileage is 50 miles / 2 gallons = 25 miles per gallon. In the second scenario, the gas mileage is 100 miles / 4 gallons = 25 miles per gallon. Since the gas mileage is the same in both cases, it indicates a proportional relationship.
Which equation models the problem below if c represents the number of puppies whose eyes are closed?
There are 15 puppies in a photograph, and 11 of them have their eyes open.
How many puppies have their eyes closed?
c – 11 = 15
11 – c = 15
15 + c = 11
11 + c = 15
Answer:
11+c=15
Step-by-step explanation:
4 pups have their eyes closed
The school cafeteria has two meal options in the main line today: a grilled chicken sandwich or a spicy fried chicken sandwich one lunch period, 60 people order the grilled chicken sandwich, and 90 people order the spicy fried chicken sandwich. 40 of the eople who ordered the grilled chicken sandwich got a chocolate mitk to drink. If the sandwich choice and the drink choice are independent, how many of the people who ordered the spicy fried chicken sandwich got a chocolate milk?
Answer:
60 of the people who ordered the spicy fried chicken sandwich got a chocolate milk.
Step-by-step explanation:
Consider the provided information.
60 people order the grilled chicken sandwich, and 90 people order the spicy fried chicken sandwich.
40 Out of 60 people who order grilled chicken sandwich got a chocolate milk to drink.
Let say x number of people out of 90 got chocolate milk drink.
Now we need to find the people who ordered the spicy fried chicken sandwich got a chocolate milk.
The above information can be written as:
[tex]\frac{40}{60}=\frac{x}{90}[/tex]
[tex]\frac{40}{60}\times 90=x[/tex]
[tex]x=20\times 3[/tex]
[tex]x=60[/tex]
Hence, 60 of the people who ordered the spicy fried chicken sandwich got a chocolate milk.
The number of people who ordered the spicy fried chicken sandwich and got a chocolate milk is calculated as 50.
The number of people who ordered the spicy fried chicken sandwich and got a chocolate milk is to be determined.
Step-by-step explanation:
Calculate the total number of people who ordered the spicy fried chicken sandwich minus the number who got a chocolate milk with the grilled chicken (90 - 40 = 50).Therefore, 50 people who ordered the spicy fried chicken sandwich got a chocolate milk.A jar contains "x" black and "y" white balls. What is the probability that a random draw is black?
Answer:
probability that a random draw is black = [tex]\frac{x}{x+y}[/tex].
Step-by-step explanation:
Given: A jar contains "x" black and "y" white balls.
To find: What is the probability that a random draw is black.
Solution: We have given that black balls = x
white balls = y
total balls = x + y
probability that a random draw is black = [tex]\frac{Number\ of\ outcome happen}{Total numer of outcomes}[/tex]
probability that a random draw is black = [tex]\frac{Ball\ drawn\ is\ black}{Total\ number\ of\ ball}[/tex].
probability that a random draw is black = [tex]\frac{x}{x+y}[/tex].
Therefore, probability that a random draw is black = [tex]\frac{x}{x+y}[/tex].
1. Sarah bought a mango tree that grows 4 cm each day. It was 10 cm tall when she bought it and now it is 82 cm. Write an equation to express the growth of this tree. Let "x" represent the number of days Sarah has owned the tree.
2. How many days has Sarah owned the tree?
Mark need to make $5 for every $2 he spends for his business to succeed. If Mark spends $32, how much money will he make?
A. $80
B. $160
C. $95
an angle bisector of a triangle divides the opposite side of the triangles into segments 6cm and 4cm long. A second side of triangle is 7.4 cm long. Find the longest and shortest possible lengths of the thrid side of the triangle
Gustavo tested 1000 calculators to see if any were defective. The company claimed that the probability of a defective calculator was 1% per 1000 calculators. Gustavo found 15 defective calculators out of 1000.
What was the predicted frequency?
Predicted Frequency . . .
=(# of trials)(theoretical probability)
=(1000)(0.01)
The predicted frequency was ____
A: 1
B: 10
C: 100
D: 1000
What was the relative frequency?
Relative Frequency = Observed Frequency/Total Number of Trails
The relative frequency was _____
A: 0.15%
B: 1%
C: 1.5%
D: 15%
ITS 10
Then 1.5% thank this
Please help with 2 questions.