Please help with the second one. I can't figure it out!
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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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 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
what is the area of this circle with a diameter of 3.7 inches
Find the area for all three figures. Show work
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.
i need help with 1, 2, 3, 7, 8, and 9! PLEASE HELP!
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
6cm 20cm 4cm find the surface area
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.
Answer please——————————————-
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
A model rocket is launched from the ground with an initial velocity of 40 feet per second. The height of an object h, in feet, after t seconds, with initial velocity v0v0 and initial height h0h0 is given by h(t)=−16t2+v0t+h0h(t)=−16t2+v0t+h0 .
What is the approximate maximum height the rocket reaches?
Enter your answer in the box.
ft
The approximate maximum height that the rocket reaches is 25 feet.
What is a function?
Function is a type of relation, or rule, that maps one input to specific single output. Given two function f(x) and g(x) can be written as f(X) + g(X). It is the sum of two functions similar to the addition of any two polynomial functions
+ x -7.
We are given that;
Initial velocity of the rocket= 40 feet per second.
The height of the rocket after t seconds is given by the formula:
h(t) = -16t^2 + v0t + h0
where v0 is the initial velocity (in feet per second) and h0 is the initial height (in feet).
Since the rocket is launched from the ground, its initial height is h0 = 0. Substituting this and v0 = 40 into the formula, we get:
h(t) = -16t^2 + 40t
To find the approximate maximum height that the rocket reaches, we need to find the vertex of the parabolic function h(t) = -16t^2 + 40t. The vertex occurs at the value of t that maximizes the height, which is given by:
t = -b/2a
where a = -16 and b = 40 are the coefficients of the quadratic function. Substituting these values into the formula, we get:
t = -40/(2*(-16)) = 1.25
Therefore, the rocket reaches its maximum height after approximately 1.25 seconds. To find the maximum height, we can substitute this value of t into the formula for h(t):
h(1.25) = -16(1.25)^2 + 40(1.25) ≈ 25 feet
Therefore, by the given function answer will be 25 feet.
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Explain how you can find a fraction equivalent to 1/4
6 is 75% of what number
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°
PLEASEE HELP ASAP WILL GIVE BRAINLIEST!!!
Answer:
The heat added to the system.
Step-by-step explanation:
how many 1/8s in 25?
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
help me out due at 10
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
HEEEEEEEEEEELPFADAFSAFA
Is 18 T greater than 36,000 lb
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?
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:
use pi = 3.14 to estimate the circumference of the circle to the nearest hundredth.
middle of circle is 11cm
Answer:
Circumference of the circle to the nearest hundredth is, 69.08 cm
Step-by-step explanation:
Circumference(C) of the circle is given by:
[tex]C = 2\pi r[/tex] .....[1]
where,
r is the radius of the circle.
As per the statement:
middle of circle is 11 cm
⇒[tex]r = 11 cm[/tex]
use [tex]\pi = 3.14[/tex]
Substitute these in [1] we have;
[tex]C = 2 \cdot 3.14 \cdot 11 = 69.08 cm[/tex]
Therefore, the circumference of the circle to the nearest hundredth is, 69.08 cm
The circumference of a circle with a radius of 11cm is 69.08cm, rounded to the nearest hundredth.
To estimate the circumference of a circle using π (Pi), you need to know the diameter of the circle which is twice the radius. Since you've mentioned the circle has a middle (radius) of 11cm, the diameter is 22cm. The formula for the circumference of a circle is C = πd, where d is the diameter.
Using the given approximation of Pi (π = 3.14), you can calculate:
C = 3.14 × 22cm
C = 69.08cm
Therefore, the estimated circumference is 69.08cm, which can be rounded to the nearest hundredth as 69.08cm.
what is the volume of the right rectangular prism?
16in³
64in³
140in³
166in³