The time taken for the runner to complete the marathon is 209.6 minutes
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion be represented as A
Now , the value of A is
The total length of the marathon = 26.2 miles
Let the time taken by the runner to complete 7.5 miles = 60 minutes
So , the proportion is
A / 26.2 = 60 / 7.5
Multiply by 26.2 on both sides , we get
A = ( 60 x 26.2 ) / 7.5
A = 1572 / 7.5
A = 209.6 minutes
Hence , the time for marathon is 209.6 minutes
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What is the area of the object above?
A.
129 sq cm
B.
78 sq cm
C.
105 sq cm
D.
111 sq cm
Translate the sentence into an inequality. The product of C and 9 is at most -28
Answer:
[tex]9c \leqslant - 28[/tex]
Step-by-step explanation:
Since 9 and c are multiplied together and the product is at most -28, the equation would have to be the one above.
acrobats and clowns converged on the center ring in the ratio of 3 to 5.if a total of 72 acrobats and clowns performed in the center ring,how nanny were clowns?
Answer:
Step-by-step explanation:
29.7
Five friends went to the zoo.
• Tickets cost $8.50 each.
• Each person purchased a drink for $3.50
• Three of the people had a discount coupon for $2.50 off the cost of admission,
• The friends split the total cost equally.
How much did each person spend?
А A
$10.13
B. $10.50
c С
$11.50
D
$12.00
Answer:
B . 10.50
Why ? Because 8.50+3.50=12 , Then 12 × 5 = 60 , 2.50×3=7.5 , 60-7.5= 52.5 . divide 52.5 by 5 = 10.50 . So each friend paid 10.50
Boards R' Us buys new skateboards for $79.85 and markups them up 25%.
Answer:
80.1
Step-by-step explanation:
25% = 1/4 (in fractions)
1/4 = 0.25
79.85+.25 = 80.1 or 80.10 [Eighty Dollars and Ten Cents.]
Answer:
99.82
Step-by-step explanation:
79.85*.25= 19.97.
79.95+19.97= 99.82.
Richard answered 20 out of 25 questions on a test. what percentage of the test questions has Richard answered?
Answer:
80%
Step-by-step explanation:
To find what percent a part is of the whole, divide the part by the whole and multiply by 100%.
percent = 20/25 * 100% = 80%
How many distinct variables does the expression below
contain?
2x^5+xy^4-zx
The high temperatures for a week are shown.
15°, 34°, 17°, 15°, 16°, 8°
Which measure of center, mean or median, would BEST represent the data?
A.
The mean, 17.5, is best because it is the average of all the values in the data set.
B.
The median, 15.5, is best because it represents the middle most value of the data in the set.
C.
The median, 15.5, is best because the center of this data set is affected by outliers.
D.
The mean, 17.5, is best because the center of this data set is affected by outliers.
Answer:
A
Step-by-step explanation:
I know
Which of the following numbers is a perfect square?
1 489
2 485
3 490
4 484
Answer:
3490 is the perfect square
Answer:
490 is the correct answer
Step-by-step explanation:
PLEASE SOMEONE HELP ME
Answer:
X=22
Step-by-step explanation:
90-68=22
what is 9 825 rounded to the nearest 5, 10,100 and 1000?
Answer:
9.825 rounded to nearest 5-9.82500
10-9.8
100-9.83
1,000-9.825
Step-by-step explanation:
You can also look up a rounding calculator if you need more help :)
Can someone help me and show your work thanks
Answer:
D) $8.20
Step-by-step explanation:
82 x 0.1 = 8.2
Answer: $8.20
Step-by-step explanation:
Take 82 and multiply it by 0.10
You can use this equation
82(n)
n will equal 0.10
82(0.10)
$8.20
Will the product of 22.65 x 0.999 be greater than or less than 22.65? Without calculating, explain how you know.
It will be less since as common knowledge, it's a decimal so it'll be a little bit less
2.
Thomas drove 45 miles in 1 hour. At this rate, how many miles will he drive in 4 hours?
Answer:
180
Explanation:
45*4=180
Answer:
I agree with the other answer- 45 x 4= 180 miles
I need help with this i cant cuaet understand this.
Answer:
CANNOT SEE CLEARLY
Step-by-step explanation:
It takes 7 gardeners 8 hours to plant 1 680 seedlings on a piece of land.
Calculate (in hours and minutes) how long it would take 12 gardeners to
plant the seedlings
Answer:
4 hours, 40 minutes
Step-by-step explanation:
1680 ÷ 8 hours = 210 seeds per hour for 7 gardeners
30 seeds per hour per gardener
30 x 12 = 360 seeds per hour for 12 gardeners
4.66 hours to plant. which is 4 hours and 40 minutes
Which equation represents a line which is perpendicular to the line x – 2y = 2?
Answer:
Step-by-step explanation:
x-2y=2
2y=x-2
y=(x-2)/2
so the slope is 1/2
for lines to be perpendicular m1m2=-1 so the line must have a slope satisfying the condition
(1/2)m=-1
m=-2
the only line with a slope of -2 is
y=-2x+5
The equation represents a line that is perpendicular to the line x – 2y = 2 would have a slope of -2. The equation would be y = -2x + 5.
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.
The given equation of line is
x-2y=2
2y = x - 2
y = (x - 2)/2
so, the slope of the equation is 1/2.
For the perpendicular lines
[tex]m_1m_2=-1[/tex]
So the line must have a slope that satisfies the condition.
(1/2) m = -1
m = -2
Hence, the only line with a slope of -2 is y = -2x + 5.
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a hikers map has a scale of 3 inches to 10 miles. the trail is 4 inches long on the map. how long is the actual hike?
Answer:
13 1/3 miles
Step-by-step explanation:
inches/miles = inches/miles
3/10 = 4/x
3x = 40
x = 13 1/3
Unit conversion is the conversion of one unit to another unit with its standard conversion.
3 inches = 10 miles
4 inches = 13.33 miles
The actual length of the trial is 13.33 miles.
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
1 hour = 60 minutes
1 minute = 60 seconds
1 km = 1000 m
1 m = 100 cm
We have,
Scale factor:
3 inches = 10 miles
Map:
Length of the trial = 4 inches
The actual length of the trail.
3 inches = 10 miles
Multiply both sides by 4/3.
4/3 x 3 inches = 4/3 x 10 miles
4 inches = 13.33 miles
Thus,
The actual length of the trial is 13.3 miles
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ollities
Assignment
Active
Calculating a Z-Score from a Percentile
The prices of paperbacks sold at a used bookstore are Complete the sentences.
approximately Normally distributed, with a mean of $7.85 To find the Z-score for the 56th percentile means that
and a standard deviation of $1.25.
the area above the z-score will be
and the
Use the z-table to answer the question.
area below the Z-score will be
The Z-score for the 56th percentile is
V
Answer:
Complete the sentences.
To find the z-score for the 56th percentile means that
the area above the z-score will be ✔ 0.44 and the
area below the z-score will be ✔ 0.56.
The z-score for the 56th percentile is ✔ 0.15
*you typed the question weird, but I hope this helps*
Answer:
To find the z-score for the 56th percentile means that the area above the z-score will be
✔ 0.44
and the area below the z-score will be
✔ 0.56
.
The z-score for the 56th percentile is
✔ 0.15
.
Step-by-step explanation:
edge 2023
Kyle and his three friends are all saving money to go on a trip. They each have $20 saved. How much money
will they each need to save in order to have at least $400 in all to go on a trip?
Answer:
each of them need to save 24013813120321312331313131 cents
Step-by-step explanation:
0.8 as a fraction??
You can give your answer
Answer: 4/5
Step-by-step explanation:
0.8 = 8/10 = 4/5
Answer:
4/5
Step-by-step explanation:
1 ) Sara studied a map that showed the routes people followed to explore and settle in Kentucky during the 1700s. The scale on the map showed that ½ inch represents 25 miles. On the map, Sara measures the length of the Wilderness Road to be 4 inches. Based on Sara’s measurement, how long was the Wilderness Road, in miles?
A)50 mi
B)100 mi
C)150 mi
D)200 mi
PLEASE HELP
Dennis read 30% of his book on Tuesday and 1/5
of his book on Wednesday. If he started the book on Tuesday, what fractional part of the book did he have left to read after Wednesday?
Answer:
50%(1/2) I geuss
Step-by-step explanation:
1/5=0.2=20%
20%+30%=50%
50%=1/2(or 2/4,or 3/6)
Which congruency statement is correct based on the diagram?
O ¤PQN = ¤TSR
Ο ¤PQN = ¤STR
O ¤NQP = ¤STR
O ¤NQP = ¤RST
Answer:
pqn = str
it is option B
hope it helps
Covert 2/3 years to months
Answer:
7.9 or if you need to round it,it will be 8
Step-by-step explanation:
dont have a explanation nut i hopes this help.
Brendon wants to run 13.8 Miles this week. so far he ran 6.7 miles. how may more m8les does brendon need to run
Answer:
7.1 miles
Step-by-step explanation:
13.8-6.7=7.1
Answer:
7.1 miles
Step-by-step explanation:
subtract 6.7 from 13.8 (13.8 - 6.7)
KIS+KSI=ISK
WHAT IS THE NUMBERS?!?!??!?
If if Spencer spent a total of $704.00 in the month of July, which is the best estimate for the amount of money he spent on clothing?
Answer:
[tex]Clothing = \$190.0[/tex]
Step-by-step explanation:
Given [Missing details]
Spencer's expenses
[tex]Clothing = 27\%[/tex]
[tex]Gasoline = 11\%[/tex]
[tex]Food = 44\%[/tex]
[tex]Entertainment = 18\%[/tex]
[tex]Total= \$704.00[/tex]
Required:
An estimate for the amount spent on clothing
To do this, simply multiply the clothing percentage by the total amount.
[tex]Clothing = 27\% * \$704.00[/tex]
[tex]Clothing = 0.27 * \$704.00[/tex]
[tex]Clothing = \$190.08[/tex]
Approximate
[tex]Clothing = \$190.0[/tex]
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
13 ft
Step-by-step explanation:
65/5
Answer:
13
Step-by-step explanation:
65÷5=13
Show your work for this one
Step-by-step explanation:
multipy the two sides by 2
n+4= -16
move the constant to the right change its sign
n= -16 - 4
calculate the difference
N= - 20
Answer:
[tex]n=-20[/tex]
Step-by-step explanation:
1) Subtract 2 from both sides.
[tex]\frac{n}{2} =-8-2[/tex]
2) Simplify −8−2 to −10.
[tex]\frac{n}{2} =-10[/tex]
3) Multiply both sides by 2.
[tex]n=-10*2[/tex]
4) Simplify 10 * 2 to 20.
[tex]n=-20[/tex]
Therefor, the answer is n = - 20.