By using the given fraction of rock 'a' against the total weight of two rocks, we can find that rock 'a' weighs approximately 0.357 lbs.
Explanation:The student's question involves calculating the weight of a rock, given as a fraction of a total weight. In this case, they are talking about a scenario where a geologist uses a scale to weigh two rocks together, with a total weight of 2 1/2 lbs, and rock 'a' is specified to be 1/7 of this total weight. To determine the weight of rock 'a', we simply divide the total weight by 7.
So, 2 1/2 lbs is equivalent to 2.5 lbs (since 1/2 is the same as 0.5). To find the weight of rock 'a', we take this total weight and perform the operation: 2.5 ÷ 7 = 0.357 lbs.
Therefore, rock 'a' weighs approximately 0.357 lbs. Remember, this is an estimation because the weight of the rock is being given as a fraction of the total weight, and actual weights can vary based on factors such as density and volume.
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Write the equation for the following relation. Include all of your work in your final answer. Submit your solution. P = {(x, y): (1, 0), (2, 4), (3, 8), (4, 12), . . .}
tep 1: –10 + 8x < 6x – 4 Step 2: –10 < –2x – 4 Step 3: –6 < –2x Step 4: ________
the sum of 2 3/5 + (-1/5) write in simplest form
I don't get why price(max)=$80
Can someone help me
Plot the x- and y-intercepts to graph the equation. y=−12x−3
Keywords
x-intercept, y-intercept, linear equation, graphing tool
we know that
The y-intercept is the value of y when the value of x is equal to zero
The x-intercept is the value of x when the value of y is equal to zero
In this problem we have
[tex]y=-12x-3[/tex]
Step 1
Find the x-intercept
For [tex]y=0[/tex]
find the value of x
[tex]0=-12x-3[/tex]
[tex]12x=-3[/tex]
[tex]x=-0.25[/tex]
The x-intercept is the point [tex](-0.25,0)[/tex]
Step 2
Find the y-intercept
For [tex]x=0[/tex]
find the value of y
[tex]y=-12*0-3[/tex]
[tex]y=-3[/tex]
The y-intercept is the point [tex](0,-3)[/tex]
Step 3
With the point [tex](-0.25,0)[/tex] and the point [tex](0,-3)[/tex]
Plot the linear equation
Using a graphing tool
see the attached figure
therefore
the answer in the attached figure
There are 62 rows of 9 chairs about how many chairs are there???
There are 558 chairs in total.
Explanation:To find the total number of chairs, you need to multiply the number of rows by the number of chairs in each row. In this case, there are 62 rows and 9 chairs in each row. So, the total number of chairs would be 62 x 9 = 558.
Two pounds of bananas cost $1.16 what would be the cost of 5pounds s of bananas
Sampling is ordinarily used when the number of items comprising the population is relatively small.
In a football game, the home team gained 8 yards in a running play. After that, the quarterback was sacked for a loss of 8 yards. On the next play, the quarterback threw a 25-yard pass for a touchdown. What was the final yardage gain on the play? Justify your answer.
Shelly sells 5 bone shaped treats for $3.50 how much should she charge to a pack of 12 treats which proportion is needed to solve the problem
Answer
5/3.5and 12/x or d
Use addition to simplify the expression 6/x+6/3x . show all the steps necessary to write the expression with a common denominator and to simplify the expression
The table shows the steps for solving the given inequality for x.
−3(4−6x)
Select the reason for each step from the drop-down menus.
Answer:step justification
- 3 (4 - 6x) < x + 5
- 12 + 18x < x + 5 distributive property (to solve the left side)
-12 + 17x < 5 subtraction property of equality (to transpose x
from right to left side)
subtraction of like terms (18x - x = 17x)
17x < 17 addition property of equality (to tranpose - 12
from left to right side)
addition of like terms (12 + 5 =17)
x < 1 division property of equality
Step-by-step explanation:
Can someone please solve this?
Harry rides his bike 25 Start Fraction 3 over 8 End Fraction miles. Karen rides her bike 25two-fifths miles. Who rides farther?
Final answer:
After converting their distances to decimals, Karen rides farther than Harry with a distance of 25.4 miles compared to Harry's 25.375 miles.
Explanation:
The question is regarding who rides farther, Harry or Karen, given their distances in different fractional forms. Harry rides his bike 25 3/8 miles, and Karen rides 25 two-fifths miles. To compare, we must convert their distances to similar fractional forms or decimals. Converting three-eighths to a decimal gives us 0.375, and converting two-fifths to a decimal yields 0.4. Therefore, Harry rides 25.375 miles, and Karen rides 25.4 miles.
Through comparison, it is clear that Karen rides farther than Harry. Karen's total distance of 25.4 miles exceeds Harry's total distance of 25.375 miles, albeit by a slight margin.
At a dog park there are 12 golden retriever and 20 poodles what is the ratio of golden retriever to poodles
State the slope and the y-intercept of each given graph plz help i really dont know how to do this
Suppose △DEF≅△MNO.
Which congruency statement is true?
A) DF≅NO
B) DE≅MN
C) EF≅MN
D) EF≅MO
When triangles are congruent, their corresponding sides and angles are the same. Hence in congruent triangles △DEF and △MNO, side DF is congruent to side MN, thus option B) DE≅MN is the correct answer.
Explanation:In the case of congruent triangles, the corresponding sides and angles are essentially the same. Therefore, we must match up the corresponding sides. A correct statement would be that side DF, from the first triangle, is congruent to side MN, from the second triangle. Hence the correct option is B) DE≅MN.
Additionally, DE would be congruent to MN, and EF would be congruent to NO, completing the congruence between triangles △DEF and △MNO.
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A map of a public park shows a circular pond. There is a bridge along a diameter of the pond that is 0.25 mi long. You walk across the bridge, while your friend walks halfway around the pond to meet you at the other side of the bridge. How much farther does your friend walk?
Your friend walks approximately 0.3925 miles farther than you along the curved path of the pond.
Explanation:To find out how much farther your friend walks, we need to compare the distance along the bridge to the distance halfway around the pond. The bridge is a straight line across the pond, which is the same as the diameter of the pond. The diameter is 0.25 miles long. Your friend walks halfway around the pond, which is equivalent to walking half the circumference of the pond. The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius. Since the bridge is the diameter, it is equal to 2 times the radius, or 2r. So the distance your friend walks is half the circumference or (1/2)(2πr) = πr. Since the diameter is 0.25 miles, the radius is half of that, or 0.125 miles. Plugging this into the formula, we find that your friend walks π(0.125) miles. To find a numerical approximation, we can use the fact that π is approximately 3.14, so your friend walks 3.14(0.125) miles. This simplifies to approximately 0.3925 miles. Therefore, your friend walks approximately 0.3925 miles farther than you along the curved path of the pond.
the ratio to strawberry to banana batter is 2:3. We need 30 cups of batter total. How much banana batter do we need to make?
Jennifer's grandmother buys carrots at the farm stand. She and her 3 grandchildren equally share the carrots. The total weight of the carrots she bought is 28 kilograms. How many kilograms of carrots will Jennifer get ?
what's the closest number to 27.8 * 9.8
Which expression makes the equation true? X^8 = ( )^2
Integers contain the whole numbers.true or false
The ordered pair (2, 1) is a solution of a direct variation equation. Write the equation and identify the constant of variation.
A new iPhone user receives an average of 4.2 phone calls per hour. The calls occur randomly in time so if X = the number of calls received in an hour, then we can assume that X has a Poisson distribution with parameter λ = 4.2. Let Y = the number of phone calls received in a day. Assume all necessary independence in the following.
a. Y also has a Poisson distribution. What is the λ for Y?
b. What is the standard deviation of X?
c. What is the standard deviation of Y?
d. What is the probability that no calls are received in an hour?
e. What is the probability that more than 120 calls are received in a day?
f. What is the probability that Y is between 90 and 110 inclusive? (i.e. 90 ≤ Y≤110)
g. What is the variance of square root of 2Y?
h. Assume this distribution holds for all hours and days and that one call is independent from another. What is the probability that 120 or fewer calls are received for every day of this week? (Assume appropriate independence
Add any comments below.
Here again is the information about the prescription drug: there is a 10% chance of experiencing a sore throat (s) and a 30% chance of experiencing a fever (f). the information also states that there is a 6% chance of experiencing both side effects. what is the probability of experiencing neither of the side effects?
How many times dose 63 go into 272? THANK YOU SO MUCH FOR ANSWERING,IF YOU DID!!!!!!!
Complete the sentence using one of the words below in 10/6 the 10 is the
how many square inches does an "11x13" area encompass
Answer:
143 square inches
Step-by-step explanation:
The area of encompass is given by 11 * 13 inches.
Here the length = 11 inches and the width = 13 inches.
The length and width have different numbers, so the given figure is a rectangle.
Area of a rectangle = length * width
Area of the figure = 11*13
= 143 square inches
The unit for the area is "square"
The units are given in inches, therefore, it is 143 square inches.
Stuck on this question. Any help would be appreciated.