The number of pages the student can read in a minute is an illustration of rates.
The time left to complete the whole book is 90 minutes
From the complete question, the student's rate is:
[tex]\mathbf{Rate = 50\ pages/hr}[/tex]
The number of pages is:
[tex]\mathbf{Total = 100\ pages}[/tex]
First, we calculate the time to read the whole book
[tex]\mathbf{Total\ Time = \frac{Total\ pages}{Rate}}[/tex]
[tex]\mathbf{Total\ Time = \frac{100\ pages}{50\ pages/ hr}}[/tex]
[tex]\mathbf{Total\ Time = 2\ hours}[/tex]
The number of the student has read is:
[tex]\mathbf{Pages = 25}[/tex]
Next, we calculate the time spent on the 25 pages
[tex]\mathbf{Time\ Spent = \frac{Pages}{Rate}}[/tex]
[tex]\mathbf{Time\ Spent = \frac{25\ pages}{50\ pages/hr}}[/tex]
[tex]\mathbf{Time\ Spent = 0.5\ hr}[/tex]
Convert to minutes
[tex]\mathbf{Time\ Spent = 30\ minutes}[/tex]
So, the time left is:
[tex]\mathbf{Time\ Left = Total\ Time - Time\ Spent}[/tex]
This gives
[tex]\mathbf{Time\ Left = 2\ hours- 30\ minutes}[/tex]
[tex]\mathbf{Time\ Left = 1\ hour, 30\ minutes}[/tex]
Convert to minutes
[tex]\mathbf{Time\ Left = 90\ minutes}[/tex]
Hence, the time left is 90 minutes
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The cost (c) to buy gasoline for a car varies directly to the amount of gas (g) in gallons purchased. Helen spent $16.72 on 8 gallons of gas for her car. Nathan is buying the same gasoline, but only has $10.45 to spend. How many gallons of gas can Nathan buy? How do you know?​
Answer:
5 gallons
Step-by-step explanation:
1) How much did Helen spend per gallon?
16.72/8 = $2.09/gallon
2) 2.09g = 10.45
10.45/2.09 = g
Calculate the mean for the following data set:
Data Set = 2, 9, 10, 4, 8, 4, 12
Answer:
7
Step-by-step explanation:
Mean, also referred to as average, is evaluated by dividing the sum of the data by the amount of data.
2+9+10+4+8+4+12 = 49
Dividing 49 by the amount of data, 7
49/7 = 7
Answer:
7
Step-by-step explanation:
add all 2, 4, 4, 8, 9, 10, 12
divide some by number of data set 7
After my salary was increased by 16%, it was $52,200. What was my salary before the increase?
I'll give brainliest if correct
$45000 was my salary before the increase.
What is percentage?Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.
According to the question
After my salary was increased by 16%, it was $52,200.
Based on the given conditions, formulate
= [tex]\frac{52200}{1+16\%}[/tex]
= [tex]\frac{52200}{1+0.16}[/tex]
= [tex]\frac{52200}{1.16}[/tex]
= [tex]\frac{5220000}{116}[/tex]
= $45000
$45000 was my salary before the increase.
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find f(x)=x^2-x^3,find f(-10)
Answer:
f(-10) = 1,100
Step-by-step explanation:
f(-10) = (-10)^2 - (-10)^3
= 100 - (-1000)
= 1,100
A car travels 78 miles on 3 gallons of gasoline. How many miles can the car travel on one gallon of gasoline?
Answer:
26 miles.
Step-by-step explanation:
you want to divide 78 by 3.
Noah has a box of coins in his room. The box currently
contains 40 coins, consisting of pennies, dimes, and
quarters. The number of pennies is equal to the
number of dimes, and the total value of the coins is
$8.05. How many of each type of coin does Noah have
in the box?
The currency called the dollar can be divided or reduced into smaller forms also known as pennies, quarters, nickels and dimes.
The number of pennies is 5, the number of dimes is 5, the number of quarters is 30.
It is important to note that
a penny = $0.01
a dime = $0.10
a quarter = $0.25
Let's represent the number of
pennies = p
dimes = d
quarters = q
The number of pennies is equal to the number of dimes, hence:
p = q, so we can represent the number of pennies and dimes as y
The box currently contains 40 coins
So: 40 = y + y + q
q = 40 - 2y...........Equation 1
The total value of the coins is $8.05
So: 0.01y + 0.1y + 0.25q = 8.05 ........... Equation 2
We substitute 40 - 2y for q in Equation 2
0.01y + 0.1y + 0.25(40 - 2y) = 8.05
0.01y + 0.1y + 10 - 0.5y = 8.05
Collect like terms
0.01y + 0.1y - 0.5y = 8.05 - 10
-0.39y = -1.95
Divide both sides by -0.39
-0.39y/-0.39 = -1.95/0.39
y = 5
Since y represents the number of pennies and dimes, the number of pennies is 5 and the number of quarters is 5.
To solve for the number quarters, we would use equation 1
q = 40 - 2y...........Equation 1
q = 40 - 2 x 5
q = 40 - 10
q = 30
The number of quarters is 30.
Therefore, we have 5 pennies, 5 dimes, and 30 quarters.
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Yuri descended 450 feet down a
mountain. Her elevation changed at a
steady rate over 3 hours. What was her
change in elevation per hour?
PLEASE HELP ASAPPP -K-12-
What is the equation of the line in slope-intercept form?
y =
x +
Answer:
y = (3/5)x + 3
Step-by-step explanation:
(-5,0)
(0,3)
3/5 x + 3
What a 3 digit number that is divisible by both 3 and 4
For BRAINILY please help I need to pass this class
Answer:
70
Step-by-step explanation:because they are all the same angles
change the mixed number to an improper fraction 2 3/5 8 1/5
Answer:
First one is 13/5
Second is 41/5
Hope this helps!
Step-by-step explanation:
PLEASE HELP!!! I GIVE TON OF POINTS!!! THANKSSS!! IM GIVING 20 POINTS FOR THIS PROBLEM!!!
On a bicycle, Wendy rides for 4 hours and is 42 miles from her house. After riding for 12 hours, she is 122 miles away. What is Wendy's rate in MPH??
Answer: 10.2 mph
Step-by-step explanation:
total runtime of the bike trip: 4hrs, 42 mi total
12 hrs has her 122 mi from home
our rate can be found by taking the miles and dividing it by the hours:
122/12 = 10.2
answer po plss plss pls
Answer:
Actually it seems like there is an error (in my opinion)
Step-by-step explanation:
The first option shows Distributive property which cannot be categorised as associative property.
The third option seems right as associative property however on the R.H.S there is a 9, which is unneeded. So, the answer is a and c.
!30 POINTS! How can I use this trapezoid to prove the Pythagorean Theorem?
Answer:
a
Step-by-step explanation:
$290, 12.5%, 6 months =?
Answer:
18.125
Step-by-step explanation:
290 × 0.125 x 0.5 → I = 18.125
11. Find the value of r so that the polygons have the same per
X+4
x + 5
x + 3
X-2
X+4
(Just solve 11. Pleaaase!)
Answer: i
Step-by-step explanation: dk
The quotient of the two values in a ratio relationship is called the _____ of the ratio.
Answer:
What is VALUE
Step-by-step explanation:
Influenced or Limited or Both?
1. The gene is located in the autosomes
2. Expression of the gene is only in one sex
3. Expression of the gene is mostly observed in one sex.
4. Trait act as recessive in one sex and dominant in another sex.
5. Traits can be passed on to the next generation even without expressing the trait.
Triangles PQR and RST are similar right triangles.
image
Which proportion can be used to show that the slope of PR is equal to the slope of RT?
A.
3
−
7
−
4
−
(
−
7
)
=
−
5
−
3
2
−
(
−
4
)
B.
3
−
(
−
4
)
7
−
(
−
7
)
=
−
5
−
2
3
−
(
−
4
)
C.
−
4
−
(
−
7
)
3
−
7
=
2
−
(
−
4
)
−
5
−
3
D.
−
4
−
(
−
3
)
−
7
−
7
=
2
−
(
−
5
)
−
4
−
3
What’s the answer .................
Answer:
309 meters
Step-by-step explanation:
The scale is 3mm : 2m so you can set up two fractions and solve for x.
[tex]\frac{3mm}{2m} =\frac{x}{206m}[/tex]
since every two meters is 3 mm in the drawing, divide 206 by 2 and get 103
now, multiply 103 by 3 to get 309
309 mm in the drawing
hope this helps :)
what is the product please
-1/6 x 7 x 2/5
The correct answer is: " [tex]- \frac{7}{15}[/tex] " ; or, write as: " [tex]\frac{-7}{15}[/tex] " .
________________________________________
Step-by-step explanation:
→ -1/6 * 7 * 2/5 ; [tex]\frac{-7}{15}[/tex]
= " [tex]\frac{-1}{6} *\frac{7}{1} *\frac{2}{5} = \frac{(-1*7*2)}{(6*1*5)} = \frac{-14}{30}[/tex] " ;
Now, simplify the value: " [tex]\frac{-14}{30}[/tex] " ;
_______
→ " [tex]\frac{-14}{30} = \frac{(-14/2)}{(30/2)} = - \frac{7}{15}[/tex] " ;
_______
The correct answer is: " [tex]- \frac{7}{15}[/tex] " ; or, write as: " [tex]\frac{-7}{15}[/tex] " .
_______
Hope this is helpful to you!
Wishing you well !
_______
If a coin is flipped 50 times, in how many ways could there be exactly two tails?
Answer:
if u eat 50 apples in a month how many of them will be bitter or sweat.
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
it has a 50 50 percent chance of landing on tails each time
34x78 use another method besides the traditional algorithm?
Answer:
2652 is the correct answer
Triangle XYZ has points X = (–4,4), Y = (0,1), and Z = (4,4). Triangle X'Y'Z' has points X ’= (–5,–4), Y’ = (–1,–1), Z’ = (3,–4). What is the transformation of XYZ to X'Y'Z'?
Help help me pleaseee and thanks
Answer:
10
Step-by-step explanation:
sqrt. 100 = 10
because base x height = area
base and height must be same length in a square
priya has a choice for banana bread. she uses 7 1/2 cups of flour to make 3 loaves of bread.
andre will follow the same recipe. he will make b loaves of banana bread using f cups of flour. which of these equations represents the relationships between b and f
b=9/2 f
b=5/2 f
b=2/5 f
b=2/9 f
Answer:
b=2/5 F
Hope you pass whatever you are doing :)
If the school is located at (9, 16) and the bakery is located 5 units to the right. What is the ordered pair that would represent the bakery's location?
Answer:
[tex](14, 16)[/tex]
Step-by-step explanation:
If the bakery is located to the right of the school, then we will add [tex]5[/tex] to the x-value of the school to get the bakery's coordinates.
So, the answer is [tex](9+5, 16)=\boxed{(14, 16)}[/tex]
Answer:
(14, 16)
I added 5 to 9 because 9 is on the X-Axis.
The difference of the number g and 8 is at least twice the sum of a number y and 4.
Answer:
g - 8 <= 2(y+4)
Step-by-step explanation:
help
please
please
please
Step-by-step explanation:
x = price of pants
y = price of top
x + y = 36
x = (4/5)y
we use the second equation as substitute in the first
(4/5)y + y = 36
4y + 5y = 180
9y = 180
y = $20
x = (4/5)y = (4/5)×20 = 4×4 = $16
MATCH THE VOCABULARY WORD WITH THE CORRECT DEFFINITION
1. translation
2. rotation
3. transformation
4. reflection
(A) in geometry, a change in the position or shape of an object on a coordinate plane involving one or more dilations, reflections, rotations, or translations of the object
(B) a change in the orientation and position of an object on a coordinate plane in which the object is "flipped" across a line on the plane, which is usually horizontal ( y = a) or vertical ( x = b), and which results in two or more sides of the object being swapped so as to preserve the size and shape of the original object
(C) a change in the position of an object on a coordinate plane in which the object is moved horizontally or vertically to a new position in which its shape and size stays the same
D) a change in the orientation and position of an object on a coordinate plane in which the object is rotated about a point on the plane, which preserves the size and shape of the original object
Answer:
1: C
2: D
3: A
4:B
Step-by-step explanation:
