Question
A student solved this problem and said the answer was [tex]5\frac{1}{4}[/tex] miles. Danielle ran [tex]3\frac{1}{8}[/tex] miles on Tuesday, [tex]4\frac{1}{2}[/tex] miles on Wednesday, and [tex]5\frac{1}{4}[/tex] miles on Thursday. How far did Danielle run altogether? Is the student's answer reasonable?
- No, the answer is not reasonable. It should be about 13 miles.
- Yes, the answer is reasonable.
- No, the answer is not reasonable. It should be about 2 miles.
- No, the answer is not reasonable. It should be about 20 miles.
Answer:
- No, the answer is not reasonable. It should be about 13 miles.
Step-by-step explanation:
Given
Student solution = [tex]5\frac{1}{4}[/tex] miles.
Miles covered on Tuesday = [tex]3\frac{1}{8}[/tex] miles
Miles covered on Wednesday = [tex]4\frac{1}{2}[/tex] miles
Miles covered on Thursday = [tex]5\frac{1}{4}[/tex] miles
Required
- Total distance covered by the student
- Is the student answer reasonable?
To calculate the actual distance covered by Danielle, we simply add the distance covered on each day,
This goes thus
Distance = [tex]3\frac{1}{8}[/tex] + [tex]4\frac{1}{2}[/tex] + [tex]5\frac{1}{4}[/tex]
Convert to Improper Fractions
Distance = [tex]\frac{25}{8}[/tex] + [tex]\frac{9}{2}[/tex] + [tex]\frac{21}{4}[/tex]
Take LCM
Distance = [tex]\frac{25 + 36 + 42}{8}[/tex]
Distance = [tex]\frac{103}{8}[/tex]
Distance = 12.875
From the calculations above, we can conclude that the student's answe is not reasonable because his calculation ([tex]5\frac{1}{4}[/tex] miles) is much more smaller than the actual result 12.875 miles
From option A through D, Only option A is correct because 12.875 miles cam be approximated to 13 miles.
Hence,
A. - No, the answer is not reasonable. It should be about 13 miles.
is the right answer
I need help finding the slope and y-Intercept
Answer:
You Do y= mx+b
Step-by-step explanation:
Answer:
y-intercept is 2 because line passes through (0,2) and the slope is 3.
The equation of this line is y=3x+2.
What is 1/8% of 1000
Answer:
12500
Step-by-step explanation:
1/8%x1000=12500
Answer:
125
Step-by-step explanation:
1000÷8=125
Complete the equation and solve the problem. Let n be the number of students in each row. There are 37 students in the marching band. There are 5 students in the first row, and the rest are in 4 equal rows. How many students are in each of the 4 rows?
Answer:
37 - 5 = 32
32/4 = 8
8 students are in each of the 4 rows
Answer: there are 8 students in each of the 4 equal rows
Step-by-step explanation:
x = # of students in each of the 4 rows
4x + 5 = 37
4x = 32
x = 8
There are 8 students in each of the 4 rows.
You can check this:
4 rows of 8 students —> 4(8) = 32 students
+ 5 students in the first row
= 37 students total
A triangle has the angle measurements of 62 degrees and 91 degrees. What is the measurement of the third angle?
a
b
29 degrees
153 degrees
27 degrees
180 degrees
С
d
Answer:
27
Step-by-step explanation:
180 is always the total of the triangle measurements. Therefore,
180-(91+62)=27
Answer:
27°
Step-by-step explanation:
A triangle is 180 degrees
So you begin with what you know 91 degrees and 62degrees
So 180-91-62=27degrees
So your answer is 27degrees
Solve the right triangle, AABC, for the missing side and angles to the nearest
tenth given sides a = 14.9 and b = 17.5.
Answer:
The missing side is 22.98, or rounded to the nearest tenth, 23
The angles are 90, 40.37, and 49.63
Step-by-step explanation:
We can use the Pythagorean theorem to solve this problem;
[tex]a^2 + b^2 = c^2[/tex]
Since a = 14.9 and b= 17.5, we need to find the missing side, or c
[tex]14.9^2 + 17.5 ^2 = c^2[/tex]
Using a calculator this gives us;
528.26 = [tex]c^2[/tex]
Now to undo [tex]c^2[/tex], we have to square root both sides
[tex]\sqrt{528.26} = \sqrt{c^2}[/tex]
22.98 = c
Now to round to the nearest tenth, we know that .9 is greater than 5, so we can round 22.98 to 23
Now to find the angles.
We know that the triangle has a hypotenuse of 23, a short side of 14.9 and a long side of 17.5.
I labeled the side opposite of 14.9, x, and I will use sin to solve for the angle.
We know that sin= opposite/hypotenuse
So, sin(x)=14.9/23
Since we want to find the angle we must use the inverse of the trig function.
[tex]sin^-^1[/tex](14.9/23) = x
By using a calculator we get
x=40.37
Now since we know that this is a right triangle, we have a 90 degree angle.
So, we can subtract from 180 to find the third angle.
180-90-40.37=49.63
The angles of the triangle are 90, 40.37 and 49.63.
Hope this helped let me know if this can be explained further or if anything is wrong! : )
Find the equation of the line shown.
HELP PLEASEEE
Answer:
y = x+6
Step-by-step explanation:
The y intercept is 6 ( where it crosses the y axis)
We need to find the slope
For each y unit it goes up, it goes to the right 1 x unit
m = 1/1 = 1
We can use the slope intercept form of the equation
y = mx+b where m is the slope and b is the y intercept
y = 1x+6
y = x+6
An emergency plumber charges $65 as a call-out fee plus an additional $75 per hour. He arrives at a house at 9:30 am and works to repair a water tank. If the total repair bill is $195.25 at what time was the repair completed?
Answer:
Around 11:15 am
Step-by-step explanation:
Let h represents the number of hours the plumber works
Since the plumber charges $65 fee plus $75 per hour, the bill can be calculated by:
→ bill = 65 + 75h
Since the bill is $195.25
→ 195.25 = 65 + 75h
→ 75h = 130.25
→ h = 1.74
1.74 implies that the plumber worked almost 1 hour and 45 minutes. Since the plumber started at 9:30, the repair was completed around 11:15 am.
Carlos keeps track of his math scores of tests. His scores on his math tests are
the following: 100, 88, 50, 50, 90, 70, 80 What is the:
Median?
Mode?
Mean?
Range?
Answer:
Median: 75
Mode: 50
Mean: ≈ 75.4
Range: 50
Step-by-step explanation:
Median:Arrange the numbers in order:
50, 50, 70, 80, 88, 90, 100
There is no exact middle number.
[tex]70 + 80 = 150\\150/2 = 75[/tex]
The median is about 75.
Mode:50, 50, 70, 80, 88, 90, 100
"50" appears the most.
The mode is 50.
Mean:Add all numbers in the set.
[tex]100+88+50+50+90+70+80 = 528[/tex]
Divide by the number of values in the set.
[tex]528/7 = 75.4285714286[/tex]
75.4285714286 ≈ 75.4
The mean is about 75.4.
Range:Subtract the smallest number in the data set from the largest number in the data set.
[tex]100-50=50[/tex]
The range is 50.
Brainilest appreciated.
Hi so i am writing a movie but i need ideas
May someone please help me
hi buddy i can help you with this
5. Factor each expression.
a. 15a - 13a
b. -6x – 18y
c. 36abc + 54ad
Step-by-step explanation:
a.)
= 15a - 13a
= a(15 - 13)
= a(2)
= 2a
b.)
= -6x - 18y
= -(x + 3y)
c.)
= 36abc + 54ad
= 6a(6bc + 9d)
Answer:
[tex]a \: ) \: \: 15a - 13a \\ = a(15 - 13) \\ = a(2) \\ = 2a[/tex]
[tex]b) \: \: - 6x - 18y \\ = - 6(x + 3y)[/tex]
[tex]c) \: \: 36abc + 54ad \\ = 9a(4bc + 6d)[/tex]
About how many times greater is the volume of the cylinder than the volume of the cone?
Your answer is 3 times larger.
The volume of any cone is 1/3 the volume of the cylinder that could be formed around that cone, therefore the volume of any cylinder is 3 times larger than the volume of the cone that could fit inside.
We know this is true because the equation for the volume of a cone is (1/3) πr²h, and the equation for the volume of a cylinder is πr²h
I hope this helps!
What is the value of the angle marked with x?
Answer:
87
Step-by-step explanation:
Answer:
x=91
Step-by-step explanation:
All angles of a quadrilateral can add up to 360.
360-87=273
273/3=91
x=91
I am not to sure, but I think this is the answer.
Help I am soo confusedd!!
Answer:
[tex]x^2+x[/tex]
Step-by-step explanation:
What this question is asking us to do is to find the area of the square and the rectangle individually and then add them together to find the total area of the whole rectangle.
Firstly, let us find the area of each of the rectangles.
Let us start with the light-blue square. It has side lengths x and x
This means that the area of this square is [tex]x*x=x^2[/tex]
Now the dark blue rectangle. It has sides with lengths x and 1.
This means that the area of this rectangle is [tex]x*1=x[/tex]
Now that we have the area of each of the rectangles, we can add them together to get the area of the whole rectangle
[tex]x^2+x[/tex]
Find the volume of the juice box.
Answer:
105.3 inches^3
Step-by-step explanation:
you have to multiply 6.5*4.5*4*.9 to get 105.3
In Miss Ericksen's class, there are 18 boys and 15 girls. What is the ratio of boys to girls in Miss Ericksen's class? Simplify your answer.
Answer:
6:5
Step-by-step explanation
boys : girls
= 18 : 15
Now time to simplify:
18/3: 15/3
= 6:5
someone pls help this is due today
Answer: 0.44mm
Step-by-step explanation:
In this problem we are asked for the height of a single playing chip. We know the volume of a cylinder is 25120 mm^3.
V=πr²h
25120=πr²h
The problem also gives the diameter of the case: 40mm.
To find radius, you divide the diameter in half.
d=2r
40=2r
r=20
With the radius, we can add that to the volume equation.
25120=[tex]\pi[/tex](20)^2h
25120=400πh
All we have left is to find the height.
h=25120/(400π)
h≈20mm
Now that we know the height, we can find the height of a single chip. The problem states about 50 chips can fit in a case. To find the height of a single chip, you would divide 20 by 50.
20mm/50 chips=0.4mm/chip.
Write the slope-intercept form of an equation that passes through the points (3,7) and (5,11)
Find the period. Principal = 9300 =9300equals, 9300 rupees Annual rate of interest = 13 % =13%equals, 13, percent Total amount = 17 , 763 =17,763equals, 17, comma, 763 rupees Period = =equals years
Answer:
7 years
Step-by-step explanation:
Given:
Principal P = 9300
Interest rate r = 13% = 0.13
Final amount F = 17,763
Since the problem does not state that it is a compounded interest, we will assume this is a simple interest case.
The formula for simple interest is;
Interest I = Prt .....1
t = period
Final amount F = P + I
I = F-P
Substituting into equation 1;
(F-P) = Prt
t = (F-P)/Pr
Substituting the given values;
t = (17,763 - 9300)/(9300×0.13)
t = 7 years
Period = 7 years
Jill has 64 ounces of lemonade. Each day, her brother drinks 16 ounces. Then at the end of each day Jill adds 25% of the remaining total back into the lemonade container. Which recursive formula models the number of ounces of lemonade in the container, an, at the end of the nth day?
Answer:
what is the nth day?
Step-by-step explanation:
Answer:
A
Step-by-step explanation: an=1.25(an-1-16);a1=64
:)
BO and OC are the bisector of angle B and angle C of the triangle ABC. Find BOC if BAC = 70 degrees.
For reference please look at the photo above.
Answer:
BOC= 110 degrees
Step-by-step explanation:
you can refer the above explanation
What is the solution for -3x -24 < -36?
Answer:
x > 4
Step-by-step explanation:
-3x -24 < -36
Add 24 to each side
-3x -24+24 < -36+24
-3x< -12
Divide each side by -3, remembering to flip the inequality
-3x/-3 >-12/-3
x > 4
Answer:
x > 4
Step-by-step explanation:
Given equation,
→ -3x - 24 < -36
Now the value of x will be,
→ -3x - 24 < -36
→ -3x < -36 + 24
→ -3x < -12
→ x > -12/-3
→ x > 12/3
→ [ x > 4 ]
Hence, the answer is x > 4.
[tex]3\sqrt[5]{(x+2)^3}+3=27[/tex]
Show all work
Answer:
Step-by-step explanation:
[tex]3\sqrt[5]{(x+2)^{3}}+3=27[/tex]
[tex]3\sqrt[5]{(x+2)^{3}}=27-3[/tex]
[tex]ln 3\sqrt[5]{(x+2)^{3}}= ln 24[/tex]
[tex]ln 3 + ln\sqrt[5]{(x+2)^{3}}= ln 3 + ln 8[/tex]
[tex]ln\sqrt[5]{(x+2)^{3}}= ln 8[/tex]
[tex]\frac{3}{5} ln(x+2)= ln 8[/tex]
[tex]ln(x+2)=\frac{5}{3} ln 8[/tex]
x + 2 = [tex]\sqrt[3]{8^{5}}[/tex]
x = [tex]\sqrt[3]{8^{5}}[/tex] -2
Find the measures of a positive angle and a negative angle that are coterminal with each given angle. Part 1
6. θ = 75°
7. θ = 720°
Answer:
6. -285°, 435°
7. -360°, 360°
Step-by-step explanation:
6. θ = 75°
75-360 = -285°
75+360 = 435°
7. θ = 720°
720 - 1080 = -360°
720 - 360 = 360°
Answer:
answer is positive
Step-by-step explanation:
-9x + 0.4 = 4 hhhhhhhhheeeeeeeeellllllllppppppp
Answer:
x = -0.4
Step-by-step explanation:
First subtract the 0.4 from both sides. Then divide both sides by -9 to solve for x.
Answer:
-0.4
Step-by-step explanation:
Subtract 0.4 from both sides.
-9x + 0.4 = 4
-0.4 -0.4
-9x = 3.6
Divide both sides by -9.
-9x/-9 = 3.6/-9
Simplify
x = -0.4
I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!
someone lmk plzzz tyy
Answer:
y-1 = -(x-2)
Step-by-step explanation:
First find the slope
m = (y2-y1)/(x2-x1)
= (5-1)/(-2 -2)
= 4/-4
= -1
We are using point slope form using the point (2,1)
y-y1 = m(x-x-1)
y-1 = -1(x-2)
y-1 = -(x-2)
A bird flies from the bottom of a canyon that is 77 1/10 and one tenth feet below sea level to a nest that is 738 3/5 and three fifths feet above sea level. What is the difference in elevation between the bottom of the canyon and the bird's nest?
Answer:
[tex]805\frac{8}{10}[/tex]
Step-by-step explanation:
[tex]805\frac{8}{10}[/tex]
The bottom of the conyon to ses level plus sea level to the bird nest.
First you add 82+723
And than you need to find the common denominator in this case [tex]10\frac{1}{2} =\frac{5}{10}[/tex]
[tex]\frac{5}{10} +\frac{3}{10}[/tex]
someone help? 25 points
Answer:
A- isosceles
B- equilateral
C- scalene
Answer:
Triangle A
Isosceles
Triangle B
Equilateral
Triangle C
Scalene
Hope this helped
Complete the square to rewrite x^2+y^2+2x+6y-6=0 in graphing form
Answer:
(x + 1)² + (y + 3)² = 16
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² + 2x + 6y - 6 = 0
Collect the x and y terms together and add 6 to both sides
x² + 2x + y² + 6y = 6
To complete the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(1)x + 1 + y² + 2(3)y + 9 = 6 + 1 + 9
(x + 1)² + (y + 3)² = 16
with centre = (- 1, - 3) and r = [tex]\sqrt{16}[/tex] = 4
OVER HERE WALKER.
What is the perimeter of a rectangle measuring 10cm by 5cm ?
Answer:
30 cm.
Step-by-step explanation:
Answer:
30 cm
Step-by-step explanation:
Perimeter is the outside measurement/ outline, add 10+10+5+5 which is all the sides together and you get your answer for perimeter