Using the rate of miles per gallon for Gloria's car, we calculated that she will need approximately 127.2 gallons of gas to travel from San Francisco to Washington, D.C.
Explanation:To solve this problem, we'll use the principle of ratios.
First, we find the rate of miles per gallon for Gloria's car by dividing the distance travelled by the gallons used:
372 miles ÷ 16.6 gallons = 22.4 miles per gallon
With this information, we can calculate how many gallons Gloria will need to travel from San Francisco to Washington D.C., which is a distance of 2850 miles:
2850 miles ÷ 22.4 miles per gallon = 127.2 gallons
So, Gloria will use approximately 127.2 gallons of gas to travel from San Francisco to Washington, D.C., at her current rate.
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An architect has a scale drawing of an addition that is to be added to a house with a scale of 1 inch : 2 feet. If the drawing is 6 inches by 10 inches, how big is the addition to the house going to be?
What is the value of 83?
Elena always puts 5/12 of the money she makes at work in her savings account. If she made $192 at work, how much money did she put in her savings account?
If she made $192 at work. Then the amount of money she puts in her savings account will be $80.
What is division?Division means the separation of something into different parts, sharing of something among different people, places, etc.
Elena always puts 5/12 of the money she makes at work in her savings account. If she made $192 at work.
Then the amount of money she puts in her savings account will be
→ 5/12 x 192
→ 80
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A survey asked 10 boys and 10 girls how many hours they spent playing video games the previous week. The number of hours are given in the line plots.
Two line plots one above the other, both are labeled from two to twenty by twos. The top line plot is labeled Boys and it has three Xs above ten, two Xs above fifteen and one X above eight, twelve, thirteen, fourteen and twenty. The bottom line plot is labeled Girls and it has three Xs above four, two Xs above ten and one X above three, six, seven, eight and fifteen.
Select from the drop-down menus to complete each statement.
The range of boys and girls is 12 hours.
The median for boys is 12.5 hours
The median for girls is 6.5 hours.
What is a range in a set of data?The range is the difference between the highest value and the lowest value of a given set of data.
We have,
From the line plot,
Boys:
Hours Number of boys
1
2
3
4
5
6
7
8 x
9
10 x x x
11
12 x
13 x
14 x
15 xx
16
17
18
19
20 x
Girls:
Hours Number of girls
1
2
3 x
4 xxx
5
6 x
7 x
8 x
9
10 xx
11
12
13
14
15 x
Now,
Range:
Boys:
= Longest time - Shortest time
= 20 - 8
= 12 hours
Girls:
= 15 - 3
= 12 hours
Median:
Boys:
= 8, 10, 10, 10, 12, 13, 14, 15, 15, 20
= 12.5
Girls:
= 3, 4, 4, 4, 6, 7, 8, 10, 10, 15
= 6.5
Thus,
The range is the same for both boys and girls.
The median for boys is 12.5.
The median for girls is 6.5.
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The complete question:
Find the range and median for both boys and girls.
The number of visitors to a certain Web site triples every month. The number of visitors is modeled by the expression 300 •3m, where m is the number of months after the number of visitors was measured. Evaluate the expression for m=minus−1. What does the value of the expression represent in the situation?
The value of expression at m=-1 is 100, so there were 100 visitors 1 months before the number of visitors was measured
after painting his porch jamil had a 1/4 can of paint left the radius of the can is 8 cm and the height is 20 cm he wants to put the remaining paint into a smaller can with a radius of 5 cm
what does the height of the smaller can need to be to hold all the paint.
Answer:
The height of small can need to be 12.8 cm to hold all the paint
Step-by-step explanation:
- Jamil had a 1/4 can of paint left
- The radius of the can is 8 cm and its height is 20 cm
- He wants to put the remaining paint into a smaller can with a
radius of 5 cm
- We need to find the height of the smaller can
- The volume of the paint in the larger can is the same volume of paint
will put in the smaller can
- Lets find the volume of the paint in the larger can
∵ The volume of the paint in the larger can = 1/4 its volume
∵ The can is shaped a cylinder
∵ Volume the cylinder = πr²h, where r is the radius of it and h its height
∵ r = 8 cm and h = 20 cm
∴ The volume of the paint = [tex]\frac{1}{4}\pi (8)^{2}(20)=320\pi[/tex] cm³
- Same amount of paint will put in the smaller can
∵ r = 5 cm and V = 320π cm³
∴ 320π = π(5)²h
- Divide both sides by π
∴ 320 = 25 h
- divide both sides by 25
∴ h = 12.8 cm
* The height of small can need to be 12.8 cm to hold all the paint
The height of the smaller can need to be to hold all the paint will be 12.8 cm.The term height is frequently used to describe someone's or something's height.
What is the height?Height is defined as the vertical distance between an object's top and bottom. It is measured in centimeters, millimeters, meters, and other units.
From the given conditions;
The volume of the paint in the larger can is,[tex]\rm V_L[/tex]
The volume of the paint in the smaller can is,[tex]\rm V_S[/tex]
The volume of the cylinder is, V
The radius of the can is,r= 8 cm
The height is,h=20 cm
The volume of the paint in the larger can is found as;
[tex]\rm V_L = \frac{1}{4} V \\\\ V=\pi r^2 h \\\\ V_L= \frac{1}{4} \pi (8)^2 (20) \\\\ V_L = 320 \pi \ cm^3[/tex]
The volume of the larger can is equal to the volume of the smaller can;
[tex]\rm V_S = V_L \\\\ 320 \ \pi \ cm^3=\pi r^2 h \\\\ \pi \ cm^3=\pi (5)^2 h \\\\ 320=25h \\\\ h =12.8 \ cm[/tex]
Hence the height of the smaller can need to be to hold all the paint will be 12.8 cm.
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A monument in the shape of a right triangle sits on a rectangular pedestal that is 5 meters high by 11 meters long. The longest side of the triangular monument measures 61 meters. How high off the ground is the top of the monument?
Answer:
65 meters off the ground.
Step-by-step explanation:
The height of the monument is 9.80 m
Explanation:To find the height of the monument, we can use the Pythagorean theorem. The rectangle on the pedestal forms a right triangle with the longest side of the monument being the hypotenuse. Let's call the height of the monument 'h'. Using the Pythagorean theorem, we have:
[tex]h^2 = (11^2) - (5^2)[/tex]
[tex]h^2 = 121 - 25[/tex]
[tex]h^2 = 96[/tex]
[tex]h = \sqrt{96[/tex]
h ≈ 9.80 meters
there are 5280 feet in a mile. how many feet are in 7/11 of a mile
To find the number of feet in 7/11 of a mile, you multiply 5280 (the number of feet in a mile) by 7/11. The answer is 3360 feet.
Explanation:To calculate how many feet are in 7/11 of a mile, you first have to understand that there are 5280 feet in one mile. If you need to find out the feet in a fraction of a mile, you can multiply this number of feet in one mile by that fraction. In this case, the fraction is 7/11. So, the calculation would go as follows:
5280 feet/mile * 7/11 mile = 3360 feet.
Therefore, 7/11 of a mile is equivalent to 3360 feet.
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Darrel loaned his friend $2500 to help him with his business. If his friend pays Darrel back in 1 year with 15% simple interest, how much will he owe Darrel altogether?
Answer: $2875
Step-by-step explanation:
The formula to calculate the simple interest is given by :-
[tex]S.I.=P\times r\times t[/tex], where P is the principal amount , r is the rate of interest and t is the time period.
Given: Principal amount = $2500
Rate of interest = 15%=0.15
Time period = 1 year
Now, the simple interest gained by Darrel after 1 year will be :-
[tex]S.I.=2500\times 0.15\times 1=\$375[/tex]
Now, the total amount his friend owed altogether= [tex]P+I=2500+375=\$2875[/tex]
Number 8 question please answer
What is the area of this figure? Drag and drop the appropriate number into the box. A = cm² 108 135 189 318 A shape made up of a square with the length measuring 9 centimeters and a height measuring 9 centimeters. There are two equally sized right triangles attached to the square. The base of each triangle measures 9 centimeters. The height of each triangle measures 12 centimeters. The remaining side of each triangle measures 15 centimeters.
Answer:
the answer is 189
Wayne is solving a system of linear equations.
y= -3/4x+5
X= -2
To solve this system, he graphed the line y= - 3/4x+5
When Wayne graphs the line x= -2, at which point will he find the solution of this system of linear equations?
1. Describe how the figures are alike.
2. Describe how the figures are different.
All figures are in 3-D form. But the base of each polygonal prism is different.
What is Geometry?One of the first areas of mathematics is geometry, along with maths. It is preoccupied with spatial characteristics including the separation, form, size, and relative placement of objects. A geometer is a mathematician who specializes in shape.
A prism is a solid form that is enclosed by plane faces on all of its sides. A prism has two different kinds of faces. Bases refer to identical top and bottom faces. The name "prism" refers to the form of these bases.
All figures are in 3-D form. And all the figures are polygonal prism.
But the base of each polygonal prism is different.
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Plz help!I don’t understand
Broderick had $420 in his checking account. He made 6 deposits of $35.50 each. He needs to write 4 checks for $310.75 each.How much money does Boderick need to add to his account to cover his checks ? Show your work.
Broderick initially has $420, adds $213 from deposits, and needs $1,243 for checks, resulting in him needing to add $610 to cover his checks.
Explanation:To calculate how much money Broderick needs to add to his account to cover his checks, we must first figure out his total deposits and then subtract the total amount he needs for the checks.
Broderick starts with $420 in his account and makes 6 deposits of $35.50 each. To find the total amount deposited, we multiply the number of deposits by the amount of each deposit:
6 deposits × $35.50/deposit = $213Adding this total to his initial amount gives us:
$420 + $213 = $633Next, Broderick needs to write 4 checks for $310.75 each. The total amount for the checks is:
4 checks × $310.75/check = $1,243To determine how much additional money is needed, we subtract Broderick's available money from the total amount needed for the checks:
$1,243 (total for checks) - $633 (total available in account) = $610Therefore, Broderick needs to add $610 to his account to cover the checks.
Solve the system of linear equations by substitution.
x=2y+7
3x−2y=3
50 points 3/8 x 54
A vet weighs two puppies. The small puppy weighs 4 2/3 pounds. The large puppy weighs 4 2/3 times as much as the small puppy. How much does the large puppy weigh?
Answer:
21
Step-by-step explanation:
please help! what is the value of K
The scale on a map is 1:500000
Two towns are 7cm apart on the map
work out the actual distance between the map
Give your answer in kilometres
The actual distance between the two towns, considering that they are 7cm apart on a map with a scale of 1:500000, is 35 kilometers.
Explanation:
In the given scenario, you're being asked to find the actual distance between two towns based on their distance on a map, using the map's scale, which is 1:500000. This means 1 cm on the map is equivalent to 500000 cm on the ground.
Since the towns are 7 cm apart on the map, the actual distance on the ground will be 7 (distance on the map) multiplied by 500000 (scale of the map), i.e., 3500000 cm. Since there is 100000 cm in 1 km, you convert the distance to kilometers by dividing by 100000. Hence, the actual distance is 3500000/100000 = 35 km.
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What is 24% of w plus 50% of y?
Answer:
0.24w+0.5y
Please give me brainiest
if you take one 10 minute shower a day, how many gallons of water are used
If you take a 10-minute shower each day, you would use approximately 25 gallons of water.
Explanation:The average person in the U.S. uses approximately 100 gallons of water per day, which includes daily activities such as cooking, washing dishes and clothes, flushing the toilet, and bathing. If you take a 10-minute shower each day, you would use a certain amount of water.
To calculate the amount of water used during a 10-minute shower, you would need to know the flow rate of your showerhead. On average, a showerhead has a flow rate of 2.5 gallons per minute. So, multiplying the flow rate by the duration of the shower gives us:
2.5 gallons/minute * 10 minutes = 25 gallons
Therefore, if you take one 10-minute shower a day, you would use approximately 25 gallons of water.
I’m rohmbus ABCD, AB= 14 and AC= 26. Find the area of the rhombus to the nearest tenth.
From the pythagoras theorem AB² = AX² + BX²
14² = 13² + BX²
196 = 169 + BX²
27 = BX²----- > BX=√27
BX = 5.20
The four triangles formed by construction of the diagonals are all congruent since the diagonals are perpendicular bisectors.
Total area of the rhombus is 4 times of ABX triangle
Which sample is representative of the population being studied?
A.To learn the in-flight seat preferences of passengers, an airline polls all its business travelers.
B.To learn how many Americans like action movies, a group of students survey people at a downtown movie theater.
C.To learn which of two writers, Charles Dickens or Leo Tolstoy, is more popular among students of literature, Dean surveyed students in one college library.
D.To learn how many students at her school spend more than $10 on books in a month, Mia speaks to every sixth student she meets in the school hallway.
Answer:
D
Step-by-step explanation:
A recycling bin is in the shape of a right rectangular prism. The bin is 12 meters long, 5 1/2 meters wide, and 6 1/2 meters tall.
What is the volume of the recycling bin?
The volume of the recycling bin will be 429 m³.
What is mean by Rectangle?
A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
The bin is 12 meters long, 5 1/2 meters wide, and 6 1/2 meters tall.
Now,
Since, We know that;
The volume of right rectangular = Length x Width x Height
Hence, The volume of right rectangular prism = 12 x 5 1/2 x 6 1/2
= 12 x 11/2 x 13/2
= 3 x 11 x 13
= 429 m³
Thus, The volume of the recycling bin will be 429 m³.
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Alex is adding square-foot tiles on the floor in his laundry room. If the space he wants to fill is 7 feet long and 6 feet wide, how many square-foot tiles will he need to fill the area?
A) 12 tiles
B) 26 tiles
C) 36 tiles
D) 42 tiles
a man deposited$800 in his account at a bank which offers 6% simple interest per annum. how much interest would he receive on the $800 after 9 months?? how long would it take for the $800 to increase to $992
It would take 1.8 years to to get $992 with a 6% simple interest annually.
What is simple interest?Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time peroid.
Simple Interest = (Principal × Rate × Time) / 100
Given that man deposited $800 in his account at a bank which offers 6% simple interest per annum.
Principal = $800
Rate = 6%
Time = 9
Simple Interest = (Principal × Rate × Time) / 100
Simple Interest = (800× 6× 9) / 100
Simple Interest = 432 dollar
Also, Simple Interest = (Principal × Rate × Time) / 100
$992 = (800 × 6× Time) / 100
992 = 48× Time
Time= 20.6
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Three different two digit numbers total is 286.what is the smallest of the three numbers
The smallest number is 90.63
We have three different two digit numbers total is 286.
We have to determine the smallest of the three numbers.
A two-digit number and a three-digit number sum up to give a value [tex]x[/tex] which is greater than 1000. Which number is the smallest ?The two digit numbers can be in only in range of 1 to 99.
While a three digit number can be in range from 100 to 1000.
Hence, the two-digit number is smallest.
According to the question -
Let's assume that the three numbers are - x, y and z.
Now -
x + y + z = 286
If we assume three equal two digit numbers will together make 286, than each two digit number will be = [tex]\frac{286}{3}[/tex] = 95.33.
In this case - x = 95.33 y = 95.33 z = 95.33
Now, subtract 95.33 from 100 = 100 - 95.33 = 4.7
Assume, that we take 4.7 out from x, then x will be equal to -
x = 95.33 - 4.70 = 90.63
And divide 4.7 equally to both y and z -
y = z = 97.6
However, you can divide the 4.7 in any ratio among the numbers y and z for getting different numbers. Since we are focused on finding the smallest number of three we will not do it here.
Hence, the smallest number is x = 90.63
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A cylinder has a radius of 30 ft and a height of 19 ft. What is the exact surface area of the cylinder?
A.
1200π ft2
B.
1260π ft2
C.
1800π ft2
D.
2940π ft2
The exact surface area of the cylinder with a radius of 30 ft and height of 19 ft is calculated using the formula 2πr(h + r), resulting in an area of 2940π ft², which matches option D.
To find the exact surface area of a cylinder, we use the formula that states the surface area (SA) is SA = 2πr(h + r), where r is the radius and h is the height of the cylinder. Given that the radius (r) is 30 ft and the height (h) is 19 ft, we plug these values into the formula:
SA = 2π(30)(19 + 30)
SA = 2π30(49)
SA = 60π(49)
SA = 2940π ft²
Therefore, the exact surface area of the cylinder is 2940π square feet, which corresponds to option D.
The value of a boat is $23,400. It loses 8% of its value every year. Find the approximate monthly percent decrease in value. Round your answer to the nearest hundredth of a percent.
(NOT 67%)
Final answer:
The approximate monthly percent decrease in value is 0.67%.
Explanation:
To find the approximate monthly percent decrease in value, we need to first calculate the annual percent decrease. We know that the boat loses 8% of its value every year. So, the annual percent decrease is 8%.
To find the monthly percent decrease, we need to divide the annual percent decrease by 12 (since there are 12 months in a year).
Therefore, the approximate monthly percent decrease in value is 0.67%.
Final answer:
The approximate monthly percent decrease in value of the boat that depreciates at 8% annually is 0.65% when rounded to the nearest hundredth of a percent.
Explanation:
To find the monthly percent decrease in value of a boat that costs $23,400 and depreciates 8% annually, we need to calculate the equivalent monthly rate. The formula for monthly depreciation is (1 - (1 - annual depreciation rate)^(1/12)). In this case, the annual depreciation rate is 0.08 for 8%. Applying the formula, we get:
Monthly depreciation = 1 - (1 - 0.08)^(1/12) = 1 - (0.92)^(1/12)
= 1 - (0.92)^(0.08333...)
= 1 - 0.99347... (value calculated using a calculator)
= 0.00653... or 0.653% (after converting to a percentage).
To round to the nearest hundredth of a percent, we get approximately 0.65% monthly depreciation. This is the approximate monthly percent decrease in the boat's value.