Option D
The trip lasts for [tex]6\frac{1}{4}\ hours[/tex]
Solution:
Mr Patel is planning to drive 325 miles
Average speed is 65 mph
He will stop one hour for lunch and take a 15 min rest break
Let us first find the time taken
[tex]Time = \frac{distance}{speed}[/tex]
[tex]Time = \frac{325}{65}\\\\Time = 5[/tex]
Thus he covers 325 miles in 5 hours
Also, given that, he will stop one hour for lunch and take a 15 min rest break
Therefore, total time taken for trip is:
Total time = 5 hours + 1 hour + 15 minutes
Total time = 6 hours 15 minutes
We know that,
1 hour = 60 minutes
Therefore,
[tex]6\ hours\ 15\ minutes\ = 6 + \frac{15}{60}\ hours = 6 + \frac{1}{4} = 6\frac{1}{4}\ hours[/tex]
Thus the trip lasts for [tex]6\frac{1}{4}\ hours[/tex]
Mr. Patel's trip will last a total of 6.25 hours, including his driving time, lunch break, and rest break. The calculation was done using the formula Time = Distance / Speed, and factoring in the break times.
Explanation:First, we need to calculate how many hours Mr. Patel will spend driving. To do this, we use the formula Distance = Speed * Time. We rework this formula to find time, giving us Time = Distance / Speed. So, Mr. Patel’s total driving time is 325 miles divided by 65 mph (miles per hour), which equals 5 hours.
The next task is to factor in Mr. Patel’s lunch and rest breaks. He takes one hour for lunch and 15 minutes for a rest break. Note that 15 minutes is 0.25 of an hour. Add these two periods to our initial 5 hours of driving time, and we get a total of 6.25 hours. So, Mr. Patel's trip will last 6.25 hours, which corresponds to answer choice D).
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You run around a park 18 times. Each lap is 1/6 mile. How many miles do you run
Answer:3
Step-by-step explanation:
Divide 18 by 6
Answer:
3 miles
Step-by-step explanation:
If each lap is one mile, 18 times = 1/6 + 1/6 + ... + 1/6. This is equal to 18*1/6 by definition of multiplication, and 18*1/6 = 18 divided by 6 because fractions are just big division symbols. This gives 3 or 3 miles.
The icecream parlor has 30 flavors, but for the last week they have only had 25 flavors. Find the percent of change. Tell if it is an increase or decrease.
Answer:
The percent of change is 20%.
And it is increased by last month.
Step-by-step explanation:
Given:
The ice cream parlor has 30 flavors, but for the last week they have only had 25 flavors.
Now, to find the percent of change.
Flavors ice cream parlor has = 30.
Flavors last week they had = 25.
So, the flavors increased from last week by:
[tex]30-25=5\ flavors.[/tex]
Now, to get the percent of change:
[tex]\frac{5}{25} \times 100[/tex]
[tex]=\frac{500}{25}[/tex]
[tex]=20\%.[/tex]
Thus, the percent of change is 20%.
The flavor is increased by last month.
Therefore, the percent of change is 20%.
And it is increased by last month.
Final answer:
The percent of change is a decrease of 16.67%, calculated by subtracting the new amount of flavors from the original, dividing by the original amount, and multiplying by 100.
Explanation:
To find the percent of change in the number of flavors at the ice cream parlor, we will subtract the original amount of flavors from the new amount, divide that by the original amount, and then multiply by 100. The original amount of flavors was 30, and the new amount is 25. Here is the calculation:
Subtract the new amount from the original amount: 30 - 25 = 5
Divide the change by the original amount: 5 ÷ 30 = 0.1667
Multiply by 100 to get the percent: 0.1667 x 100 = 16.67%
The percent of change is a decrease of 16.67% since the number of flavors went down from 30 to 25.
You have $1000 in a savings account and the compound interest rate is 5% per year. After 5 years, how much money approximately do you have in the savings account if you left the money to grow? A) $1000 B) $1215 C) $1250 D) $1275
Answer:
$1275
Step-by-step explanation:
Which expression represents the number 13,809 written in expanded form?
A 13+80+9
B 13,000+800+90
C9+1,300+80
D 3,000+10,000+9+800
Final answer:
The number 13,809 in expanded form is expressed as 10,000 + 3,000 + 800 + 9, which corresponds to option 'D'.
Explanation:
To write the number 13,809 in expanded form, we break the number down into its place values and then write it as a sum of each digit multiplied by its place value. For the number 13,809 this would be:
(1 × 10,000) for the ten-thousands place,
(3 × 1,000) for the thousands place,
(8 × 100) for the hundreds place,
(0 × 10) for the tens place (which is actually 0 and usually omitted in expanded form), and
(9 × 1) for the ones place.
The expression that represents 13,809 in expanded form is therefore 10,000 + 3,000 + 800 + 9, which corresponds to option 'D'.
hope you can help me!!
Write the inequality represented by the graph using the variable x.
Answer:
[tex]x < 4[/tex]
Step-by-step explanation:
When the circle is open that means it is not equal to and the line is going to the left so it is less than
Answer: x<4
Step-by-step explanation:
Luis is asked to construct a triangle with a 35° angle and a 45 angle How many different triangles could he draw with
these angle measures?
There is only one unique triangle that can be drawn with a 35° angle and a 45° angle, as the third angle is determined to be 100° to make the sum 180°.
To determine how many different triangles can be constructed with a 35° angle and a 45° angle, we can use the fact that the sum of angles in a triangle is always 180°. Adding the given angles, we get 35° + 45° = 80°. Subtracting this from 180° gives us the third angle, which is 180° - 80° = 100°. Since the sum of the angles is 180° and all angles are determined, there is only one unique triangle that can be drawn with these angle measures
Solve for x in the diagram below.
Answer:
8x+30°=110°
8x=80°
x=10°
Step-by-step explanation:
because the angles are vertical => they are equal
100 POINTS
Please answer the question attached
Answer:
EVERYSINGLE ANGLE HAS 79 DEGREES
Step-by-step explanation:
Three plants grew 3/4 feet. How much did they grow in all
Answer:
2 and 1/4
Step-by-step explanation:
Which equation is equivalent to the equation 9x-10 =35?
a. 9x = 25 c. 9x = -25
b. 9x = 45 d. 9x = -45
Write 5.5.5.5. in
exponential notation.
Answer:
5.5.5.5
= 5^4
=625
Explanation:
5 to the power of 4 is equal to 625
Redefined format 5.5.5.5 as 5 * 5 * 5 * 5, converted to exponential notation as 5^4. The base is 5, exponent is 4, showing multiplication of the base 4 times.
Explanation:The number 5.5.5.5 that you've provided seems to have a format error considering the extra dots you've used. If by any chance you meant 5 * 5 * 5 * 5, it in exponential notation is 54. '5' is the base and '4' is the exponent, the latter representing the number of times the base is multiplied by itself. In this case 5 is multiplied by itself 4 times.
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A cleaning solution contains 60% water. How much water is in a 32 oz container of cleaning solution?
Answer:
19.2 oz water
Step-by-step explanation:
32 oz times 60%
32
x .6
19.2
Simplify the expression (9 + 21)(9 – 21).
Answer:
-360
Step-by-step explanation:
1. Add 9 + 21 and subtract 9 - 21
2. That would be (30)(-12)
3. Then multiply 30 x -12
4. You get -360
combine like terms -2+3x+8+(-11x)
Answer:
6-8x
Step-by-step explanation:
-2+3x+8+(-11x)
-2+3x+8-11x
-2+8+3x-11x
6+3x-11x
6-8x
Walter struggles to write legibly and has a difficult time putting his thoughts on paper. Which learning disability does he have?
Dysgraphia learning disability . Dysgraphia is a neurological disease in which a person struggles to express their ideas in writing form appropriate to their age and mental capacity .
What is meant by dysgraphia?Children who have dysgraphia typically have confusing, uneven handwriting that varies in slant, form, upper- and lower-case letters, as well as cursive and print styles. They also have a tendency to copy or write things slowly.
Dysgraphia is a neurological disease in which a person struggles to express their ideas in writing form appropriate to their age and mental capacity even after receiving proper instruction and schooling. Various signs of dysgraphia might appear at various ages. It is regarded as a learning disability.
The disorder's origin is uncertain, however in adulthood, parietal lobe injury is frequently a contributing factor. Treatment for motor abnormalities to help control writing movements may be part of dysgraphia treatment, which varies. Other therapies could deal with memory loss or other neurological issues.
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Solve the following system. Q
-8x - 8y = 0 and -8x + 2y = -20
Answer:
x=2 and y=−2
Step-by-step explanation:
I will solve your system by substitution.
−8x−8y=0;−8x+2y=−20
Step: Solve−8x−8y=0for x:
−8x−8y+8y=0+8y(Add 8y to both sides)
−8x=8y
−8x
−8
=
8y
−8
(Divide both sides by -8)
x=−y
Step: Substitute−yforxin−8x+2y=−20:
−8x+2y=−20
−8(−y)+2y=−20
10y=−20(Simplify both sides of the equation)
10y
10
=
−20
10
(Divide both sides by 10)
y=−2
Step: Substitute−2foryinx=−y:
x=−y
x=−(−2)
x=2(Simplify both sides of the equation)
A business owner receives a 5000 loan with 13% interest, charged at the end of each year
Answer:
The answer is 5,650
Step-by-step explanation:
The loan is 5,000 and the interest is 13%
First you have to get the percent to a decimal and then multiply it by the loan which in this case is 5,000
13/100 = 0.13
0.13 x 5000 = 5650
is 2/2 and 3/2 perpendicular
Answer:
No
Step-by-step explanation:
in order for a slope to be perpendicularit needs to me the opposite recipricol
so to be perpendicular to 3/2 it would be -2/3
I don’t know Da answer
Evaluate the expression below when x=9.5 and y=3. 12x - 3y exponent 2
Attendance at a museum more than tripled this week.last week,186 people went to the museum. Write and inequality to show how many people
Answer:
Step-by-step explanation: your unknown would be BABY IAN GOT TIME TO ANSWER YO QUESTION?!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Toby wants to find the volume of a solid toy soldier.
He fills a rectangular container 8 cm long, 6 cm wide,
and 10 cm high with water to a depth of 4 cm. Toby
totally submerges the toy soldier in the water. The
height of the water with the submerged toy soldier is
6.6 cm. Which of the following is closest to the
volume, in cubic centimeters, of the toy soldier?
Answer:
Toby wants to find the volume of a solid toy soldier.He fills a rectangular container 8 cm long, 6 cm wide,and 10 cm high with water to a depth of 4 cm. Toby totally submerges the toy soldier in the water. The height of the water with the submerged toy soldier is 6.6 cm. Which of the following is closest to the volume, in cubic centimeters, of the toy soldier?
A. 125 B. 156 C. 192 D. 208 E.317
The volume of the toy is 125 cubic cm ,option A is the closest answer.
Step-by-step explanation:
Given:
A rectangular container .
Length of the container =8 cm
Width of the container = 6 cm
Height of the container when water is filled = [tex](h_1)[/tex] = 4 cm
Height of the container when the toy is submerged = [tex](h_2)[/tex] =6.6 cm
Volume of the toy = Volume of the container with the toy - Volume of the container (with water)
Volume of the toy = [tex](l\times b\times h_2) - (l\times b\times h_1)[/tex]
= [tex](l\times b\times)(h_2-h1)[/tex]
= [tex](6\times 8)(6.6-4)[/tex]
= [tex]48\times 2.6[/tex]
= [tex]124.8[/tex] cubic centimeters.
So,the closest value to the volume of the toy is 125 cubic centimeters.
The closest volume, in cubic centimeters, of the toy soldier is 124.8 cm³.
To find the volume of the toy soldier submerged in water, we can use the following steps:
1. Calculate the initial volume of water in the container: 8 cm x 6 cm x 4 cm = 192 cubic cm.
2. Determine the final volume of water with the toy soldier submerged: 8 cm x 6 cm x 6.6 cm = 316.8 cubic cm.
3. Subtract the initial volume of water from the final volume with the toy soldier submerged: 316.8 cubic cm - 192 cubic cm = 124.8 cubic cm.
Therefore, the closest volume, in cubic centimeters, of the toy soldier is 124.8 cm³.
Help!!!
What is the equation of of the line that represents your initial climb?
Answer:
y = 3x
Step-by-step explanation:
The exact equation for the climb would be y = (x-3)^2 + 9, however, a rough line that represents the climb is y = 3x.
Find the slope between (0, 0) and (3, 9) and we get m = 3. Plug it into y-int form and you get the line.
Answer:
y = 3x
I did this test last week and its correct.
Step-by-step explanation:
browns farm market charges $2.50 per pound for locally grown tomatoes
good morning,
What is the domain of the function graphed below?
thanks yall
Answer:
A. {x / x ≠ -2, 3}
Step-by-step explanation:
In the graph, we can find the vertical asymptotes of the given graph is at x = -2 and x = 3.
You can see the vertical line red dotted line in the graph. That is called vertical asymptotes.
The vertical asymptotes cannot be the domain of the functions.
All other integers are domain except x = -2 and x = 3.
Therefore, answer is A. {x / x ≠ -2, 3}
Wal-Mart sells a case of 24 cans of Diet Coke for $6.88 Kroger sells a 12 pack of Diet Coke for $3.99 which is Best Buy?
The cost per can of Diet Coke is cheaper at Wal-Mart than Kroger. Wal-Mart sells a can for approximately $0.287, while Kroger sells a can for approximately $0.3325. Therefore, Wal-Mart is the best buy.
Explanation:To determine the best buy between Wal-Mart and Kroger, we need to calculate the price per can of Diet Coke for each store.
For Wal-Mart, the case contains 24 cans for $6.88. So, we divide the total cost by the number of cans: $6.88 ÷ 24 = $0.287 per can
For Kroger, the pack contains 12 cans for $3.99. So, again we divide the total cost by the number of cans: $3.99 ÷ 12 = $0.3325 per can
Comparing the two prices, $0.287 per can from Wal-Mart is cheaper than $0.3325 per can from Kroger. Therefore, buying the case of Diet Coke from Wal-Mart is the best buy.
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Wal-Mart offers a better buy for Diet Coke compared to Kroger, with a price of $0.287 per can versus Kroger's $0.3325 per can.
First, calculate the price per can at Wal-Mart.Wal-Mart sells a case of 24 cans for $6.88.Price per can = $6.88 / 24 cans = $0.287 per can.Next, calculate the price per can at Kroger.Kroger sells a 12 pack for $3.99.Price per can = $3.99 / 12 cans = $0.3325 per can.Finally, compare the prices:Wal-Mart: $0.287 per canKroger: $0.3325 per canWal-Mart offers the better buy since the price per can of Diet Coke is cheaper at Wal-Mart ($0.287) compared to Kroger ($0.3325).
how do you write12 minutes to noon digital form
Answer:
11:48 AM
Step-by-step explanation:
Answer:
11:48 am
Step-by-step explanation:
not sure if I did this right but 60-12=48. before noon would be am so it would be 11:48 am
sorry if its wrong qwq
What is the equation of the line that is parallel to the line x = -2 and passes through the point (-5,4)?
x=-5
x=4
y = 5
y=4
Answer:
Step-by-step explanation:
x=-5
Answer:
It would be A) -5
Step-by-step explanation:
So it could be any number if it’s the x value. So it can’t be C or D
if it passes through (-5,4), then the x would have to be -5
therefore it is A
a fireman leaned a 36 foot ladder against a building. if he placed the ladder 7 feet from the base of the building what angle is formed between the ladder and the ground
Answer:
78.79°
Step-by-step explanation:
A fireman placed a ladder of length 36 feet against a building.
Now, if he placed the ladder 7 feet from the base of the building, then the angle formed between the ladder and the ground will be [tex]\theta[/tex] (Say).
Now, the ladder, the base ground and the building forms a right triangle and the ladder is the hypotenuse of the triangle and [tex]\theta[/tex] is the base angle.
So, [tex]\cos\theta = \frac{\textrm {Base length}}{\textrm {Ladder length}} = \frac{7}{36}[/tex]
⇒ [tex]\theta = \cos^{-1}(\frac{7}{36}) = 78.79^{\circ}[/tex] (Answer)
Solve for x: 3x = 2/5
Answer:
x=2/15
Step-by-step explanation:
3x=2/5
/3 to both sides
3×/3=2/5/3
x=2/15