Distance = rate * time
Let r = rate
Distance is the same for both runs, so:
.5r = D = 3/4(r - 2)
Distribute (and convert .5):
2/4r = 3/4r - 3/2
Subtract 3/4 r from both sides:
-1/4r = -3/2
Multiply both sides by -4 to get a solitary r:
r = -3 * -4 / 2
r = 3 * 2
r = 6 miles per hour
.5 hours * 6 mi/hr = 3 miles
check:
6 - 2 = 4
3/4 hours * 4 mi/hr = 3 miles
A survey asks students to name their favorite outdoor activity. 12 students say bike riding, 8 students say climbing trees, and 5 students say swimming. Mia says that 40% olf the students say their favorite activity is climbing trees. Is she correct? Explain
Answer:
Mia is incorrect. 32% of the students say climbing trees is their favorite.
Step-by-step explanation:
Percentage of the students that chose climbing trees = number of students that chose climbing trees ÷ total number of students surveyed × 100
Number of students that chose climbing trees = 8
Total number of students = those that chose riding bike + those that chose climbing trees + those that say swimming = 12 + 8 + 5 = 25
Therefore,
% of the students that say climbing trees = [tex] {8}{25}*100 = \frac{800}{25} = 32 [/tex].
Mia is wrong.
32% say climbing trees is their favorite. NOT 40%.
When Arjun makes hot cocoa, he adds 20\text{ mL}20 mL20, start text, space, m, L, end text of chocolate syrup for every 333 ounces of hot water. Arjun's brother, Eli, adds 45\text{ mL}45 mL45, start text, space, m, L, end text of chocolate syrup for every 666 ounces of hot water. Which hot cocoa is more chocolatey? Choose 1 answer: Choose 1 answer:
Answer:
45mL hot cocoa is more chocolateyStep-by-step explanation:
When Arjun makes hot cocoa, if he add 20mL of chocolate syrup to 3ounces of water, let us know the equivalent chocolate in one ounces of water.
20mL = 3 ounces
x = 1 ounce
cross multiply
3x = 20
x = 20/3
x = 6.67 mL
This means he must have add 6.67mL of chocolate to 1 ounce of water.
Similarly, if 45mL is added to every 6 ounces
45mL = 6ounces
x = 1 ounce
cross multiply
6x = 45
x = 45/6
x = 7.5mL
This means he must have add 7.5mL of chocolate to 1 ounce of water.
The hot cocoa that is more chocolatey is the one with the highest amount of chocolate in 1 ounce. That is 45mL hot cocoa
Answer:
eli's cocoa is more chocolately. i would show proof (on khan academy), but I just skipped the q. :|
Step-by-step explanation:
you are listening to a playlist that has three hip hop songs 2 rock songs if they are a 15 more songs on this playlist and the ratio of hip hop song or rock song stayed the same how many of each type would be on this playlist
Apply the Triangle Sum Theorem, and solve for x.
5x° (Angle G)
4xº(Angle H)
3xº(Angle J)
Answer:
15°
Step-by-step explanation:
5x°+4x°+3x°=180°
12x°=180°
X=(180/12)°
X=15°
Help with these math questions grade 12
Answer:
1. 15.1%
2. 8.3%
3. 12%
4. 25%
Step-by-step explanation:
1.
percent change = (new number - old number)/(old number) * 100%
percent change = (21300 - 18500)/(18500) * 100%
percent change = 15.1%
A positive percent change is a percent increase.
Answer: The percent increase is 15.1%.
2.
percent change = (new number - old number)/(old number) * 100%
percent change = (298000 - 325000)/(325000) * 100%
percent change = -8.3%
A negative percent change is a percent decrease.
Answer: The percent decrease is 8.3%.
3.
percent change = (new number - old number)/(old number) * 100%
percent change = (110 - 125)/(125) * 100%
percent change = -12%
A negative percent change is a percent decrease.
Answer: The percent decrease is 12%.
4.
percent change = (new number - old number)/(old number) * 100%
percent change = (1500 - 2000)/(2000) * 100%
percent change = -25%
A negative percent change is a percent decrease.
Answer: The percent decrease is 25%.
Convert y = x2 - 4x + 1 to vertex form by completing the square.
O y= (- 1)2 + 4
O y= (1 - 2)2 +5
O y= (x - 2)2 – 3
O y = (x - 4) + 1
Answer:
vertex: (-2, -3)
Step-by-step explanation:
y = x2 + 4x + 1
y = x2 + 4x + 22 + 1 - 22
y = (x + 2)2 + 1 - 4
y = (x + 2)2 - 3 in y = (x - h)2 + k, (h, k) is the vertex.
Answer:
y = (x - 2)² - 3
Step-by-step explanation:
Given
y = x² - 4x + 1
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 4x
y = x² + 2(- 2)x + 4 - 4 + 1
= (x - 2)² - 3
value of 3b^2 - 5c^3 if b = 2 and c = -1
Answer:
17
Step-by-step explanation:
3(2)^2 - 5(-1)^3
3(4) - 5(-1)
12 + 5
17
Which of the following statements is true?
The number 0 is a natural number.
The number is an integer.
The value π is a rational number.
The number -5 is a real number.
Answer: the number -5 is a real number
Real numbers are both negative and positive numbers. -5 is a negative number. Since real numbers include negative numbers, -5 is the answer.
Hope this helps!
Answer:
the number -5 is a real number
Step-by-step explanation:
Write 2.08 x 10^2 in standard form.
Answer:
208
Step-by-step explanation:
If you multiply 2.08 by ten to the second power (100) Then you get 208
Scientific notations are the way through which a very small or a very large number can be written in shorthand. The given expression can be written in the standard form as 208.
What are Scientific notations?Scientific notations are the way through which a very small or a very large number can be written in shorthand. In scientific notations when a number between 1 and 10s is multiplied by a power of 10.
For example, 6,500,000,000,000 can be written as 6.5e+12.
The given expression can be written in the form of an expression as shown below.
2.08 x 10²
= 2.08 × 100
= 208
Hence, the given expression can be written in the standard form as 208.
Learn more about Scientific notation here:
https://brainly.com/question/1740231
#SPJ2
answer the questions
dont answer if u dont know
Answer:
3.) 2.5cm
4.) 14mm
5.) 1.75in
6.) 12cm
7.) 4in
8.) 1.6ft
9.) 31.4in
10.) 43.96in
11.) 56.52in
Step-by-step explanation:
3-5 finding the radius is just half of the diameter.
#3
5/2= 2.5
#4
28/2= 14
#5
3.5/2= 1.75
6-8 is finding the diameter. To find the diameter multiply the radius by 2.
#6
6*2= 12
#7
2*2= 4
#8
.8*2= 1.6
9-11 is finding the circumference. To find it use this equation C= 2πr.
C= circumference, 2=2, π= 3.14, r= radius
#9 the diameter is 10in so the radius is 5in
C=2(3.14)5
C=31.4
#10 the radius is 7in
C= 2(3.14)7
C= 43.96
#11 diameter is 18in so the radius is 9in
C=2(3.14)9
C= 56.52
Answer:
I don't know the anwser
Step-by-step explanation:
but the other person does so I'm adding this to get points and so you can make her brainliest
people wont solve my question i need it ASAP
Answer:
A pig has 10,000 kg mass more than a mass
Step-by-step explanation:
[tex]\frac{2*10^{2}}{2*10^{10}}=\frac{10^{2}}{10^{-2}}\\\\=10^{2}*10^{2}\\\\=10^{2+2}\\\\=10^{4}\\\\=10000[/tex]
Steven sells bags of different kinds of cookies. He made $27 selling bags of Oreos, $18 selling chocolate chips cookies, and $45 selling chunky sugar cookies. Each bag of cookies costs the same amount. What is the most that Steven could charge for each bag of cookies?
Answer:
9 dollars
Step-by-step explanation:
It would be 9 dollars because that is the only common factor that could go into 27, 28, or 45.
What single decimal multiplier would you use to decrease by 6% followed by a 19% increase?
Answer: 13% increase?
Step-by-step explanation: 19-6=13 which means it would be 1.13 the original amount?
Answer:
1.13
Step-by-step explanation:
A 6% decrease would be 0.94 and a 19% increase after that would be 1.13
simplify the expression (5x^7)^2
Answer:
25x^14
Step-by-step explanation:
i need help in finding numerical value please
Answer:
Step-by-step explanation:
[tex]\sqrt{18}=\sqrt{2*3*3}=3\sqrt{2}[/tex]
[tex]\sqrt{12}=\sqrt{2*2*3}=2\sqrt{3}[/tex]
[tex]A=\sqrt{2}+\sqrt{18}\\\\=\sqrt{2}+3\sqrt{2}\\\\=(1+3)\sqrt{2}\\\\=4\sqrt{2}[/tex]
[tex]B=\sqrt{3}+\sqrt{12}=\sqrt{3}+2\sqrt{3}\\\\ = (1+2)\sqrt{3}\\\\ = 3\sqrt{3}[/tex]
[tex]\sqrt{B^{2}+A^{2}-2*B*A}=\sqrt{(B-A)^{2}}\\\\=B-A\\\\=3\sqrt{3}-4\sqrt{2}[/tex]
= 3* 1.732 - 4 *1.4142
= 5.196 - 5.6568
= -0.4608
Exact Answer: [tex]4\sqrt{2} - 3\sqrt{3}[/tex]
Approximate Answer: 0.46070182678574
Round the approximate value however you need to.
=================================================
Work Shown:
[tex]C = \sqrt{ B^2 + A^2 - 2BA}\\\\C = \sqrt{ B^2 - 2BA + A^2}\\\\C = \sqrt{ (B-A)^2 }\\\\C = -(B-A) \ \ \text{ see note below}\\\\C = -B+A\\\\C = A-B\\\\C = (A) - (B)\\\\[/tex]
[tex]C = (\sqrt{2}+\sqrt{18}) - (\sqrt{3}+\sqrt{12})\\\\C = \sqrt{2}+\sqrt{18} - \sqrt{3}-\sqrt{12}\\\\C = \sqrt{2}+\sqrt{9*2} - \sqrt{3}-\sqrt{4*3}\\\\C = \sqrt{2}+\sqrt{9}*\sqrt{2} - \sqrt{3}-\sqrt{4}*\sqrt{3}\\\\C = \sqrt{2}+3\sqrt{2} - \sqrt{3}-2\sqrt{3}\\\\C = 4\sqrt{2} - 3\sqrt{3} \ \ \text{ ..... exact value}\\\\C \approx 0.46070182678574 \ \ \text{ ..... approximate value}[/tex]
-------------------
Note: The rule used here is
If x is positive then [tex]\sqrt{x^2} = x[/tex]
Or if x is negative, then [tex]\sqrt{x^2} = -x[/tex]
Since B-A = -0.4607 approximately, we will use the second version of the rule above.
If someone could help me I would really appreciate it!
Factor by slide and divide!
Answer:
(3x-4)(2x+5)
Step-by-step explanation:
6x^2 + 7x + 24
= 6x^2 + (15-8)x + 24
= 6x^2 + 15x - 8x + 24
= 3x( 2x+5 ) - 4( 2x+5 )
= (3x-4)(2x+5)
EASY MATH QUESTION PLEASE I NEED HELP!
Answer:
x=8/3
Step by step
determine the defined range
remove parentheses
move the terms
collect like terms and calculate
divide both sides
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Combine like terms to simplify the expression. 5 x + 4 + 2 x + 5
Answer:
[tex] \huge{ \boxed{ \bold{ \text{7x + 9}}}}[/tex]
Step-by-step explanation:
[tex] \text{5x + 4 + 2x + 5}[/tex]
[tex] \text{Combine \: like \: terms} : [/tex]
[tex] \text{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}[/tex]
[tex] ➝ \: \text{5x + 2x + 4 + 5}[/tex]
➝ [tex] \text{ 7x + 4 + 5}[/tex]
[tex] \text{Add \: the \: numbers : 4 \: and \: 5}[/tex]
[tex] ➝ \: \text{7x + 9}[/tex]
[tex] \text{Hope \: I \: helped}[/tex]!
[tex] \text{Best \: regards}[/tex]!
~[tex] \mathfrak{TheAnimeGirl}[/tex]
Answer:
7x + 9
Step-by-step explanation:
Combine like terms, means put the ones that have something in common together; in this case they are the terms with an 'x' value, and a regular numeric value.
5x+2x = 7x
5+4 = 9
therefore:
7x+9
Estimate and then solve the equation.
x − 174
5
= − 131
5
The estimated equation is
.
The estimated solution is x =
.
The actual solution is x =
.
Answer:
Estimate and then solve the equation.
x − 174
5
= − 131
5
The estimated equation is
✔ x – 18 = -13.
The estimated solution is x =
✔ 5.
The actual solution is x =
✔ 4 3/5.
Hope this helps!
edugenuity
(4x5)3
Using the exponential notion and simplify pls
if the cost of carpeting a floor is $2.50 per foot how much will it cost to carpet a rectangular floor that is 10 feet by 12 feet
Answer:
300 dollars
Step-by-step explanation:
Multiply 10 feet by 12 feet to get the total number of feet needed
10x12=120 feet
120 times $2.5= $300
The cost to carpet a rectangular floor is $300.
Given that,
The cost of carpeting a floor is $2.50 per foot A rectangular floor that is 10 feet by 12 feetBased on the above information, the calculation is as follows:
[tex]= 10 \times 12 \times \$2.50[/tex]
= $300
Learn more: brainly.com/question/17429689
The length of a rectangle is 11 less than 9 times the width. The perimeter of the rectangle is 18 inches
Length = 7 Width = 2
Step-by-step explanation:
L = Length
W = Width
L=9w-11
2L+2W=18
2(9W-11) + 2W = 18
18W - 22 +2W = 18
20W -22 = 18
20W = 40
W = 2
L = 9(2)-11
L=18-11
L=7
Measure the angle and classify it as right, acute, or obtuse.
Answer:
b
Step-by-step explanation:
I need help what is -0.5 _ -0.2
PLEASE ANSWER FAST WILL GIVE BRAINILY
Write an equation or inequality to represent the relationship "three
times a number decreased by 12 is equal to -18". Then solve.
a. Equation :
b. Answer:
Answer:
a. 3x-12= -18 b. x=-2
Step-by-step explanation:
what is the answer for −3x−6+(−1)
Answer:
-3x-7
Step-by-step explanation:
Combine like terms
-6+-1 = -6-1 = -7
Hence, it's -3x-7
m= 4/5 - 2/5
————- = ?
-1 - -2
Answer:
2/5 = 4/5 - 2/5 = m
Joe and Carmen are partners in a business. Joe makes $2.00 profit for every $5.00 profit that Carmen makes. If Carmen makes $20 on the first item they sell, how much profit will Joe make?
On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled in miles, d, to the number of hours flying, t, is LaTeX: t=\frac{1}{500}dt=1500d. How long will it take the airplane to travel 800 miles?
Answer:
1.6hours
Step-by-step explanation:
We know that Speed= distance/ time
But from the question, An equation relating the distance traveled in miles d to the number of hours flying t is t= 1/500d.
And the distance is given as 800 miles
Then, what we need is to substitute the given Distance into the equation of time.
t= 1/500d. Where d= 800 miles
t= (1/500) × 800 miles
t= 800 miles/500
t= 1.6hours
Hence, it will take the airplane to travel 800 miles , 1.6hours
a cubic block of ice has a volume of 1,331 inches how tall is the block
Answer:
The answer is 11. 11^3 is 1,331.
Step-by-step explanation:
NP