Answer:
The team’s best time for the race is 3.89. The team’s best time for the race is less than 4 minutes, therefore the eighth graders earn 40 points.
Step-by-step explanation:
It is given that the eighth graders are running a baton relay race with three other classmates. The team’s top speed for each leg is 56.81 seconds, 59.22 seconds, 57.39 seconds, and 60.11 seconds.
The team’s best time for the race is
[tex]56.81+59.22+57.39+60.11=233.53[/tex]
1 min = 60 sec
Using this conversion we get
[tex]\frac{233.53}{60}=3.892167\approx 3.89[/tex]
Therefore the team’s best time for the race is 3.89.
If the team’s best time for the race is less than 4 minutes, then the eighth graders earn 40 points. If not, the seventh graders earn 40 points.
Since the team’s best time for the race is less than 4 minutes, therefore the eighth graders earn 40 points.
To predict the team's best time for the race, add up the best times for each leg and convert the total to minutes and seconds. The eighth graders should be awarded 40 points.
Explanation:To predict the team's best time for the race, we need to add up the best times for each leg. The team's top speeds for the legs are 56.81s, 59.22s, 57.39s, and 60.11s. Adding these times together gives us a total of 233.53 seconds.
To convert this time to minutes and seconds, we divide the total by 60. The quotient is the number of minutes and the remainder is the number of seconds. Dividing 233.53 by 60 gives us approximately 3.89. So, the team's best time for the race is 3 minutes and 53 seconds.
Since the team's best time for the race is less than 4 minutes, the eighth graders should be awarded 40 points.
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Judy Ring purchased a watch with a retail price of $8,000. She still has to pay a sales tax of 6% and an excise tax of 10%. Since the jeweler is shipping the watch, there's an additional $20 shipping charge. The total purchase price of this watch for Judy i
Answer: Total purchase price of this watch is $9300.
Step-by-step explanation:
Since we have given that
Retail price of watch = $8000
Rate of sales tax = 6%
Amount of sales tax becomes
[tex]\dfrac{6}{100}\times 8000\\\\=\$480[/tex]
Rate of excise tax = 10%
Amount of excise tax is given by
[tex]\dfrac{10}{100}\times 8000\\\\=\$800[/tex]
So, Amount of watch after sales tax becomes
[tex]\$8000+\$480+\$800\\\\=$9280[/tex]
Amount of additional shipping charge = $20
Amount of watch after additional shipping charge becomes
[tex]\$9280+20\\\\=\$9300[/tex]
Hence, Total purchase price of this watch is $9300.
A rectangular trampoline measures 15 meters by 18 meters. A pad of constant width is placed around the trampoline so that the total area is 340 square meters. What is the width of the pad? Enter your answer in the box.
Given is a rectangular trampoline with dimensions 15 meters by 18 meters.
A pad of uniform width is fixed about the boundary of trampoline such that total area becomes 340 square meters.
It says to find width of the pad that is placed around trampoline.
Let's assume the width of pad = 'x' meters.
Now Length of trampoline with pad would be, L = 2x + 15 meters.
And Width of trampoline with pad would be, W = 2x + 18 meters.
Given is the Total area = 340 square meters.
We know the formula for area of rectangle is given as follows :-
Area of Rectangle = Length x Width
⇒ 340 = (2x+15)·(2x+18)
⇒ 340 = 4x² + 66x + 270
⇒ 4x² + 66x + 270 - 340 = 0
⇒ 4x² + 66x - 70 = 0
⇒ 2x² + 33x - 35 = 0
⇒ 2x² + 35x - 2x - 35 = 0
⇒ x·(2x + 35) - 1·(2x + 35) = 0
⇒ (x - 1)·(2x + 35) = 0
⇒ (x - 1) = 0 or (2x + 35) = 0
x can't be negative number, so x = 1.
Hence, x = 1 meter is the width of the pad.
Answer:
The width of the pad is [tex]1\ m[/tex]
Step-by-step explanation:
Let
x----> the width of the pad
we know that
[tex](15+2x)(18+2x)=340[/tex]
Solve for x
[tex]270+30x+36x+4x^{2} =340\\ \\4x^{2}+66x-70=0[/tex]
Solve the quadratic equation by graphing
The solution is [tex]x=1\ m[/tex]
see the attached figure
judy has $20 and is saving at a rate of $6 per week. Ida has $172 and spending at a rate of $4 per week. After how many weeks will each have the same amount?
Find the area of each figure
suppose the side length of a square A is 10 inches and the area of square C is 162 inches squared what is the area of square B if the squares form a right triangle ?
Answer:
62
Step-by-step explanation:
My teacher told me
help me out due at 10
Explain how you can find a fraction equivalent to 1/4
find the missing dimension. base: 27 cm and area: 256.5 cm sq
I need help ASAP ?!?!?!?!?!
Suppose you start an annuity where you invent$2,000 at the beginning or each year and 4% interest is paid at the end of the year
Answer please——————————————-
Susan’s parents have offered to help her pay for a new computer. They will pay 30% and Susan will pay 70% of the cost of a new computer. Susan has saved $550 for a new computer. With her parents help, how expensive of a computer can she afford?
Two lines intersect at a point, forming ∠1 , ∠2 , ∠3 , and ∠4 .
∠1 and ∠2 are supplementary angles.
∠2 and ∠4 are vertical angles.
m∠1=120°
What is the measure of ∠4 ?
30°
60°
90°
120°
which stem-and-leaf plot represents the data 80, 81, 91, 92, 66, 55, 54, 30, 55, 79, 78?
key for picture one is Key: 5|0 means 50
pic 2 Key: 5|4 means 54
pic 3 Key: 5|4 means 54
pic 4 Key: 5|4 means 54
Answer:
d its d
Step-by-step explanation:
Find the area for all three figures. Show work
Use multiplication to find 2 equivalent fraction for 3/4 and 4/5
To find two equivalent fractions for 3/4 and 4/5 using multiplication, multiply both the numerator and denominator of each fraction by the same number.
Explanation:To find two equivalent fractions for 3/4 and 4/5 using multiplication, we can multiply both the numerator and denominator of each fraction by the same number. Let's choose 2 as the multiplying factor.
For 3/4, multiplying both numerator and denominator by 2 gives us: 6/8.
For 4/5, multiplying both numerator and denominator by 2 gives us: 8/10.
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the sweater shack is offering a 20% discount on sweaters. if the regular price of a sweater is 15.00 dollars what is the discount
The discount is $3.00 Why? You need to multiply the cost of the sweater by the discount as follows:
15x0.2=3
A triangle has interior angles measuring 40° and 52°.
Which triangles are similar to this triangle?
Select True or False for each triangle.
Triangle True or False for each
Triangle True False
1 triangle with interior angles measuring 52° and 92° t or f
2 triangle with interior angles measuring 40° and 92° t or f
3 triangle with interior angles measuring 52° and 88° t or f
4 triangle with interior angles measuring 40° and 88° t or f
PLEASEE HELP ASAP WILL GIVE BRAINLIEST!!!
Answer:
The heat added to the system.
Step-by-step explanation:
Can someone please help me with this (its percent of change word problems)
i need help with 1, 2, 3, 7, 8, and 9! PLEASE HELP!
6cm 20cm 4cm find the surface area
if 1 yard=3 feet and 1 mile=5,280 feet, how many yards are there in 2 miles
please help me out due at 10
how many 1/8s in 25?
graham drove 42 1\3 miles in 1 1\3 hours how many hours did he take to drive one mile
The time taken by Graham is approximately 4/127 hours, which is about 0.0315 hours or roughly 1 minute and 53 seconds, to drive one mile.
To find out how many hours Graham took to drive one mile,
simply divide the total time (1 1/3 hours) by the total distance (42 1/3 miles):
Total time = 1 1/3 hours
= 4/3 hours
Total distance = 42 1/3 miles
= 127/3 miles
Now, divide the total time by the total distance:
Time per mile
= (Total time) / (Total distance)
= (4/3 hours) / (127/3 miles)
Now, when you divide by a fraction, you can multiply by its reciprocal:
Time per mile
= (4/3 hours) × (3/127 miles)
= (4/127) hours per mile
Therefore, the total time Graham took approximately 4/127 hours to drive one mile.
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HEEEEEEEEEEELPFADAFSAFA
6 is 75% of what number
Chloe is painting on a stretched canvas that has an area of 108 square inches. The length of the canvas is 12 inches. The width of the canvas is how many inches. Chloe paints a 1-inch-wide blue border on the canvas. The area left for painting after painting the border is how many square inches. I WILL GIVE BRAINLIEST!
:-)
Answer: Width of canvas = 9 inches
Area left for painting after painting the border = 70 square inches.
Explanation :
Since we have given that
Area of painting = 108 square inches
Length of canvas = 12 inches
As we know that
[tex]\text{Area of rectangle} = length\times breadth[/tex]
[tex]108=12\times breadth\\\\\frac{108}{12}=breadth\\\\9=breadth[/tex]
So, breadth of canvas = 9 inches .
Now, Chloe paints a 1 inch wide blue border on the canvas.
[tex]\text{So, remaining length left for painting after painting the border} = 9-1-1=9-2=7\text{ inches}[/tex]
[tex]\text{ Remaining breadth left for painting after painting the border }= 12-1-1=12-2= 10\text{ inches}[/tex]
[tex]\text{So , area of remaining portion }= length\times breadth \\\\ \text{ area of remaining portion }=7\times 10\\\\\text{ area of remaining portion }=70 \text{ square inches}[/tex]
Hence, remaining area = 70 square inches .
Answer:
9 and 70
Step-by-step explanation:
The width of the canvas is 9 inches. Chloe paints a 1-inch-wide blue border on the canvas. The area left for painting after painting the border is 70 square inches.
what is the volume of the right rectangular prism?
16in³
64in³
140in³
166in³