Answer:
25 mph
Step-by-step explanation:
Because you know mi/h means the miles PER hours, and we know that when we see the word "per" we're dealing with a rate. What we have to do here, is multiply 10(mph) is like the average, or limit. So if I'm running 2.5 miles I multiply 10 x 2.5 to get 25.
Or just move the decimal point one space because of the zero in 10.
Hope this helps, and have a great day!
If i run at an average speed of 10 mi/h, the time needed for me to run 2.5 miles is, 0.25 hour
What is the relation between time, distance & speed ?The distance covered by the object is equal to the product of the speed at which the object is moving and time taken for covering the distance.
Distance = Time × Speed
Given that,
An average speed = 10 mi/h,
If distance travelled = 2.5 miles
Time needed = ?
Time needed = Distance/Speed
= 2.5 / 10
= 0.25
Hence, The time needed is 0.25 hour
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Combine the like terms to create an equivalent expression:
3
z
+
2
+
(
−
5
z
)
+
6
Answer:
-2z+8
Step-by-step explanation:
[tex]3z+2+(-5x)+6\\\\=3z+2-5x+6\\\\=(3z-5z)+(2+6)\\\\=(-2z)+(8)\\\\=-2z+8[/tex]
Translate sentence into an equation. Then ſind each number.
1. Seven more than three times a number is 16.
How to translate it
Answer:
This is the equation
Step-by-step explanation:
7 + 3x = 16
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What is the value of m in the equation one-half m minus three-fourths n equals 16, when n equals 8? a. 20 b. 32 c. 44 d. 48
Answer:
c. 44
Step-by-step explanation:
½m - ¾n = 16
½m - (¾×8) = 16
½m - 6 = 16
½m = 16 + 6
½m = 22
m = 44
Answer:
c 44
Step-by-step explanation:
its on edge
Anne and Nancy use a metal alloy that is 21.8% copper to make jewelry. How many ounces of a 13% alloy must be mixed with a 29% alloy to form 140 ounces of the desired 21.8% alloy?
Answer: 63.13%
Step-by-step explanation:
given data:
copper = 21.8%
0.13%x + 29%(140-x) = 21.8%(140)
open the brackets
0.13x + 40.6 - 0.29x = 30.5
collect like terms
0.13x - 0.29x = 30.5 - 40.6
–0.16x = –10.1
divide both sides by – 0.16
–0.16x / – 0.16 = –10.1 / –0.16
x = 63.13%
Simplify. (5x4 + 3)2 A. 25x8 + 30x4 + 9 B. 10x8 + 30x4 + 6 C. 25x16 + 30x4 + 9 D. 25x8 + 9
Answer:
The answer is option AStep-by-step explanation:
( 5x⁴ + 3)²
( 5x⁴ + 3)(5x⁴ + 3)
Expand using FOIL
That's
(5x⁴)(5x⁴) + 5x⁴(3) + 3(5x⁴) + 3(3)
We have
[tex]25 {x}^{8} + {15x}^{4} + {15x}^{4} + 9[/tex]Add and simplify like terms
We have the final answer as
[tex] {25x}^{8} + {30x}^{4} + 9[/tex]Hope this helps you
Antony borrowed 20,000,000 for 7 years his interest rate is 5% how much interest will he pay in all
Answer:
7,000,000
Step-by-step explanation:
[tex]Principal = 20,000,000\\Time =7\:years\\Rate = 5\%\\Simple\:interest =?\\\\Simple\:interest = \frac{Principal\times Rate\times Time}{100} \\\\S.I= \frac{20000000\times 5 \times 7}{100} \\\\S.I==\frac{700000000}{100}\\\\Simple\: interest=7000000[/tex]
The solution is, he will pay 7000000 interest in all.
What is interest?Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.
Here, we have,
formula: I = Prt.
here, we have,
given that,
Antony borrowed 20,000,000 for 7 years his interest rate is 5%
i.e. we get,
P= 20,000,000
t = 7
r= 5%
and, we have to find I
so, we have,
I = P r t
=20,000,000*5*7/100
=7000000
Hence, he will pay 7000000 interest in all.
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The point-slope form of the equation of the line that passes through (-4, -3) and (12, 1) is y-1 = 1/4 (x - 12). What is the standard form of the equation for this line?
a) x-4y=8
b) x-4y=2
c) 4x-y=8
d) 4x-y=2
Answer:
i honestly dont know
Step-by-step explanation:
help me w/ this asap
Answer:
(12,infinity)
Step-by-step explanation:
I eliminated A and C because you can't do open brackets without closing them. I eliminated the negative infinitys because it said that P was bigger than 12.
What is the formula of area
Answer:
Square: Area = S²
Rectangle: Area = lw (L x W)
Triangle: Area = bh/2
Circle: Area = 3.14(r)²
How can you approximate the value of VI 30 ?
Answer:
VI is 6
Step-by-step explanation:
Answer:
VI is 6
Step-by-step explanation:
A tree that grows 3 feet every 5 years is growing at a rate of ___ feet per year.'
[tex]\bf Step-by-step~explanation:[/tex]
Objective: You need to find the number of feet the tree grows every year (the unit rate).
[tex]\bf Steps:[/tex]
FIrst, we look at what we have now. The tree grows 3 feet every 5 years, so we have to divide 3 by 5 to get the number of feet the tree grows in one year.
[tex]\bf 3~feet~divided~by~5~years~=~Our~final~answer\\\frac{3}{5}=\frac{6}{10}~(multiplied~3~and~5~by~2)\\ \frac{6}{10} =0.6~feet[/tex]
[tex]\large\boxed {\bf Our~final~answer: ~0.6~feet~per~year}[/tex]
[tex]The~tree~grows~at~a~rate~of~0.6~feet~per~year.[/tex]
I WILL MARK YOU BRAINLIEST. Xavier decorated his paper with stickers. He put 3 stickers on his paper. Each sticker is 1/8 inches wide and 2/5 inches long. What is the total area, in square inches, of all of the stickers Xavier used?
Answer:
3x1/8x2/5=3/20
Step-by-step explanation:
A researcher randomly selected 30 people to participate in a study to investigate which of two materials, A or B, used in the heels of sneakers will last longer. The researcher is considering two design types for the study.
Design 1: Randomly assign 15 participants to wear sneakers with material A on their left feet and material B on their right feet. The remaining participants will wear sneakers with material B on their left feet and material A on their right feet.
Design 2: Randomly assign 15 participants to wear sneakers with material A on both feet and the remaining participants to wear sneakers with material B on both feet.
Which of the following best describes each design?
Answer:
Design 1
Step-by-step explanation:
Design one would work better because the students get to see both materials (each on one foot) and if they do the same things each day with both feet, they can test how the material works with the activity...If that makes sense
The question is an illustration of a random selection.
The descriptions of the designs are:
Design 1 is a matched pair designDesign 2 is a completely randomized design.Design 1
From the question, we understand that:
15 participants wear material A on the left feet, and material B on the right feet.The other 15 wear material B on the left feet, and material A on the right feet.The above description is a matched pair design, because half of the participants gets randomly assigned to material A and B, while the other half gets automatically assigned to the remaining materials.
Design 2
From the question, we understand that:
15 participants wear material A on both feetThe other 15 wear material B on both feetThe above description is a completely randomized design, because half of the participants gets randomly assigned to material A, while the other half gets randomly assigned to material B.
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need help please help
Answer:
9 minutes
Step-by-step explanation:
The water volume in pool 1 starts at 50 gallons and increases at 2.3 gallons per minute. An expression for that volume could be ...
v = 50 +2.3t
The water volume in pool 2 starts at 102.2 gallons and decreases at 3.5 gallons per minute. An expression for that volume could be ...
v = 102.2 -3.5t
The volumes will be equal when ...
50 +2.3t = 102.2 -3.5t
5.8t = 52.2 . . . . . . . . . . . subtract 50-3.5t from both sides
t = 52.2/5.8 = 9 . . . . . . . divide by the coefficient of t
After 9 minutes, the pools will contain the same amount of water.
_____
The equation 5.8t = 52.2 tells you the 52.2 gallon difference in volumes is being reduced at the rate of 5.8 gallons per minute. You don't really need the 'v' equations to figure that out.
estimake square root of 11. ?
Answer:
11 not have root
Step-by-step explanation:
beause it is the prime number MARKE AS BRILLIANT
Answer:
3.3164 correct to four decimal places
Step-by-step explanation:
WE USE BINOMIAL THEOREM.
√11=√(10+1)=(10 + 1)^½
FACTOR TEN OUT
=> 10^½(1 +1/10)^½
WE KNOW THAT:
(1 +X) ^n= 1 + nX + [n(n -1)(x)²]/2! + .........
NOW LET X =1/10 AND n= ½
SUBSTITUTING INTO THE FORMULA ABOVE
=>(1/10)^½ [1 + (½)(1/10) +[½(½ –1)(1/10)^½]/2×1 + ......]
=(1/10)^½[1 + 1/20–1/800 +......]
=> (1/10)^½(839/800)
≈3.3164
THEREFORE √11 ≈ 3.3164( ESTIMATED)
Hank's pickup can travel 95 miles on 5 gallons of gas. How many gallons will Hank's pickup need to travel 76 miles?
Answer:
miles/gallons: 80/5 = 48/g
Cross multiply
80g = 240
g = 3 gallons
Step-by-step explanation:
4 gallons will Hank's pickup need to travel 76 miles.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
According to the question
Hank's pickup can travel 95 miles on 5 gallons of gas.
95 miles ⇒ 5 gallons of gas
76 miles ⇒ X
95X = 76 × 5
X = [tex]\frac{76(5)}{95}[/tex]
X = 4
4 gallons will Hank's pickup need to travel 76 miles.
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Simplify 7 -(-4) + 3(-6).
0-7
07
-9
9
The length of a rectangle is 16m greater than the width. If the perimeter of a rectangle is 256m, what is the width of the rectangle?
Answer:
L=16+W
2W+2(16+W)=256
2W+32+2W=256
4W=224
W=56
Question 1 (Multiple Choice Worth 5 points)
Use absolute value to express the distance between -10 and 16 on the number line.
01-10 - 161 = -6
01-10 - 161 = 6
1-10 - 16= -26
• |-10 - 161 = 26
Answer:
Answer should be I 16-(-10) I = 26
But I guess it's the last choice you listed, I -10-16 I = 26
jacob weights 36.4 pounds and alice. weights 42.275 pounds. how much do they weigh together
Answer:
78.675 pounds
Step-by-step explanation:
36.4 + 42.275 = 78.675 pounds
Answer:
it is 78.675 just round it to the nearest something which would be 78.68
Step-by-step explanation:
just add and round
Need help i don't understand
Add.
(2x2 - 2x) + (6x – 4)
2x^2 + 4x - 4
..........................
Answer:
x = {-2, -1}
Step-by-step explanation:
Combine like terms: 0 + -2 = -2
x = -2
Simplifying
x = -2
Combine like terms: 0 + -1 = -1
x = -1
Simplifying
x = -1
Rewrite as a simplified fraction.
3.2 = ? 2 is repeating
Answer:
3
.
¯
2
=
29
9
Explanation:
Using the notation of a bar over a set of digits to denote their infinite repetition,
let
x
=
3
.
¯
2
⇒
10
x
=
32
.
¯
2
⇒
10
x
−
x
=
32
.
¯
2
−
3
.
¯
2
=
29
⇒
9
x
=
29
∴
x
=
29
9
This technique works in general. Set
x
as your desired value, multiply by
10
n
where
n
is the number of digits repeating, and then subtract
x
to eliminate the infinitely repeating portion. It then is just a matter of dividing by
10
n
−
1
a
Step-by-step explanation:
x=536/165
you should know what to do since your in this part of the unit
Is is greater than less or equal to 4.09_4.90
Its less than i think yeah
please solve for x, and give me an explanation on how you did so? 1/2x-1/3=5/6
=======================================================
Explanation:
Fractions are a pain to deal with, so whenever possible I recommend you eliminate them. With equations like this, you can multiply both sides by the same number to do so. The question is: which number would that be?
If you pick on the LCD, then you'll be able to clear out the fractions. The LCD of 1/2, 1/3, and 5/6 is 6 since the LCM of the denominators is 6.
Multiply both sides by 6 to get
(1/2)x - 1/3 = 5/6
6*[ (1/2)x - 1/3 ] = 6(5/6)
6*(1/2)x - 6*(1/3) = 6(5/6)
3x - 2 = 5
------------
At this point, the fractions are gone. We can now solve like so
3x-2 = 5
3x-2+2 = 5+2 ... adding 2 to both sides
3x = 7
3x/3 = 7/3 .... dividing both sides by 3
x = 7/3
Answer:
x=5/6
Step-by-step explanation:
12x−13=5612x-13=56
Combine 1212 and xx.
x2−13=56x2-13=56
Move all terms not containing xx to the right side of the equation.
Add 1313 to both sides of the equation.
x2=56+13x2=56+13
To write 1313 as a fraction with a common denominator, multiply by 2222.
x2=56+13⋅22x2=56+13⋅22
Write each expression with a common denominator of 66, by multiplying each by an appropriate factor of 11.
Multiply 1313 and 2222.
x2=56+23⋅2x2=56+23⋅2
Multiply 33 by 22.
x2=56+26x2=56+26
Combine the numerators over the common denominator.
x2=5+26x2=5+26
Add 55 and 22.
x2=76x2=76
Multiply both sides of the equation by 22.
2⋅x2=2⋅
Karen sells tickets at a movie theater. Last night she sold 128 tickets for a total of $1108. Adult's tickets cost $10 and children's tickets cost $6. How many of each kind of ticket did Karen sell?
Answer:
Adult's tickets 85
children's tickets 43
Step-by-step explanation:
x + y = 128
10x + 6y = 1108
x = 128 - y
10(128 - y) + 6y = 1108
1280 - 10y + 6y = 1108
1280 - 4y = 1108
-4y = 1108 - 1280
-4y = -172
y = -172/-4
y = 43
x = 128 - y
x = 128 - 43
x = 85
23,900
Write each number in scientific notation.
Answer:
2.39 x 10 to the power of 4
number 8 please! i kinda need help ASAP please! it’s due tomorrow
Answer: Answer is in the steps
Step-by-step explanation:
The perfect square that is less than 15 is 9 and greater 15 is 16 and the square root of 15 falls between 3 and 4 because 3 times 3 is 9 and 4 times 4 is 16.
First row: 9 < 15 < 16
Second row [tex]\sqrt{9} < \sqrt{15} < \sqrt{16}[/tex]
Third row ; 3 < [tex]\sqrt{15}[/tex] < 4
Represent the following sentence as an algebraic expression, where "a number" is the letter x.
A number plus 2
Answer:
X+2
Step-by-step explanation:
A number is x plus 2
X+2
Two lines in the same plane that will not intersect are parallel. always sometimes never
Answer:
Always
Step-by-step explanation:
If two lines are coplanar and will not intersect, they are parallel.