Daryl biked for 12 minutes and traveled 1.6 miles. If He kept the same pace, how far would he travel in 3.5 hours? please show work if possible!!!!
Answer:
27.999999993 or 27.9 or 28 (rounded) miles.
Step-by-step explanation:
Find out how many miles he goes every minute.
(1.6 ÷ 12 = 0.13 recurring (0.1333333333)
3.5 hours = (60 × 3) + 30 = 210 minutes
Multiply 0.13 recurring (0.1333333333) by 210 mins.
210 × 0.13 recurring (above number) = 27.999999993 (You can round this up to the nearest whole number), which is 28 if the question asks you to but as it uses 1.6 miles, you can leave it as 27.9 or even leave the long decimal if you're not entirely sure.
Hope this helps. :)
Which equation can be used to determine the percent of the diagram that one section represents?
1/10=1/100=1%
1/10=10/100=10%
1/100=1/10=1%
1/100=10/10=10#
Answer:
First one
Step-by-step explanation:
2/3 is what % of 1/4
Answer: 266.66%
Step-by-step explanation:
(2/3)/(1/4) = (2/3)(4/1) = 8/3 = 2 2/3 = 2.6666 = 266.66%
For 4 weeks in June, Cameron biked 3 1/4 miles each week and swam 2 1/2 miles each week. For 3 weeks in July, he biked 4 3/4 miles each week and swam 3 1/2 miles each week
Step-by-step explanation:
Given that,
For 4 weeks in June, Cameron biked 3 1/4 miles each week and swam 2 1/2 miles each week.
For 3 weeks in July, he biked 4 3/4 miles each week and swam 3 1/2 miles each week.
We need to find how much greater was the total distance Cameron bike and swim in July compared to the total distance he bike in swim in June.
In July, total distance is ,
[tex]4\dfrac{3}{4}\times 3+3\dfrac{1}{2}\times 3\\\\= \dfrac{19}{4}\times 3+\dfrac{7}{2}\times 3\\\\=24.75\ \text{miles}[/tex]
In June, total distance is :
[tex]=4\times 3\dfrac{1}{4}+4\times 2\dfrac{1}{2}\\\\=\dfrac{13}{4}\times 4+\dfrac{5}{2}\times 4\\\\=23\ \text{miles}[/tex]
Hence, in June total distance is 23 miles and in July total distance is 24.75 miles.
One die is tossed and then another die is tossed. How many outcomes are possible for the two dice?
Answer:
i think its 36!
Step-by-step explanation:
6 x 6+36
In a survey, one-fifth youths like cell phone only and 16 did not like cell phone at all. Also 60%
youths like camera but 8 like none of them.
(i) Show the above information in a Venn diagram.
(ii) How many youths like both the things?
Answer: Let, n(U) be=x only (p)=x/5 only(ca)=16 n(pnc)=?n(c)=60%ofx=0.6x
then,
Only (c)=n(c)-n(cnp)
16=0.6x-n(cnp)
n(cnp)=0.6x-16
again,
n(U)=only(p)+only (c)+n(cnp)+n(pUc)of complement
x=x/5+16+0.6x-16+8
5x=x+3x+40
x=40
n(cnp)=0.6x-16=0.6×40-16=8
Step-by-step explanation:
Edgar argues that reflecting the following image over the x -axis and
then over the line y = x is the same as reflecting the same image over the
line y = -x. Prove whether Edgar is correct or not.
у
10
7
6
5
4
3
2
1
0
-6-5-4-3-2-1 0
-1
1
9
7
2
3
8
-10-9-8
10
-2
-3
-4
-5
-7
-8
-9
-10
Answer: He is not correct. The resulting will be in a different quadrant.
Step-by-step explanation: This would be much easier to answer with a screen shot of the image.
For example, if the original image is in quadrant 1, the first reflection over the x-axis places the new image in quadrant 4, "upside-down" and the second reflection over the y=x line places the new image in quadrant 2 and "oblique" to the original.
Reflecting the original over the y=-x line places the new image in quadrant 3.
Question 5(Multiple Choice Worth 1 points)
(02.04 MC)
A computer manufacturer built a new facility for assembling computers. There were construction and new equipment costs. The company paid for these costs and made combined profits of $10 million after 4 years, as shown in the graph:
There is a graph of a line with Years on the x axis and Profits in millions on the y axis that passes through 0, negative 20 and 4, 10.
Which equation most closely represents the line depicted in the graph?
f(x) = −10x + 4
f of x equals fifteen halves times x minus 20
f(x) = 10x − 4
f of x equals two fifteenths times x minus 20
Given:
The graph passes through the points (0,-20) and (4,10).
To find:
The equation of line that most closely represents the line depicted in the graph.
Solution:
If a line passing through two points, then the equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
The given line passes through the points (0,-20) and (4,10). So, the equation of line is
[tex]y-(-20)=\dfrac{10-(-20)}{4-0}(x-0)[/tex]
[tex]y+20=\dfrac{10+20}{4}(x)[/tex]
[tex]y+20=\dfrac{30}{4}x[/tex]
[tex]y+20=\dfrac{15}{2}x[/tex]
Subtracting 20 from both sides, we get
[tex]y=\dfrac{15}{2}x-20[/tex]
The function form is
[tex]f(x)=\dfrac{15}{2}x-20[/tex]
f of x equals fifteen halves times x minus 20.
Therefore, the correct option is B.
Answer:
Your answer is B
Step-by-step explanation:
f of x equals fifteen halves times x minus 20
1,000,000,000,000,000,000,000+1,111,111,111
Answer:
1,000,000,000,000,001,111,111
A car traveled 150 miles on 5 gallons of gas. Find the unit rate.
Answer:
30m per gallon
Step-by-step explanation:
150m/5g= 30m/g
Please help me ASAP! I’m giving Brainliest to the first correct answer! Please also show working out if possible - Thanks :))
There are oranges that are ¥90 and apples that are ¥150.
When you buy a total of 15 of them, your total cost is ¥1890.
How many oranges and apples did you buy?
Step-by-step explanation:
If 15 oranges were bought,
the total cost would be 15 * ¥90 = ¥1350.
¥1890 - ¥1350 = ¥540.
For every orange that switches to an apple,
the cost increases by ¥150 - ¥90 = ¥60.
Number of apples = ¥540 / ¥60 = 9.
Therefore there are 6 oranges and 9 apples.
Answer:
6 oranges and 9 apples.
Step-by-step explanation:
Let the number of oranges be x then the number of apples = 15 - x.
So 90x + 150(15 - x) = 1890
90x - 150x + 2250 = 1890
-60x = -360
x = 6
and number of apples = 15 - 6
So it's 6 oranges and 9 apples.
factor x(20-x)=96 its for solving quadratics
Answer:
Answer and steps in the picture
Use the graph to find the value of y = sin q for the value of q.
90°
Answer:
[tex]\huge y = \sin(q) = \sin(90°) = 1[/tex]
d. 1 is the right answer.The cost price of a car is $60 000. If the marked price is set so as to make a profit of 15%, find the
marked price.
Answer:
marked price = $69,000
Step-by-step explanation:
cost price = $60,000
profit
= 15%
= 15% × cost price
= 15/100 × $60,000
= $9000
marked price
= cost price + profit
= $60,000 + $9000
= $69,000
Find the slope of the line.
-1
3
-10
-11
12
4
3
2 0 1
9 10
The slope is
Turn
-1
Step-by-step explanation:
because looking at the graph it is negative, and it goes down one over one
5. A tree is broken at a height of 5 m from the ground
and its top touches the ground at a distance of
12 m from the base of the tree. Find the original
height of the tree.
The original height of the tree is 60 m
Answer:
Step-by-step explanation:
the base of the triangle that the fallen tree makes up is 12 and the up right is 5 the tree top is the hypotenuse of this triangle :)
treeTop= [tex]\sqrt{12^2+5^{2} } }[/tex]
treeTop = [tex]\sqrt{169}[/tex]
treeTop = 13
13+5 = treeHeight
18 = treeHeight
I need help pls help me answer this ASAP!!!
Find the measure of angle x. _
[tex]x + 120 = 180[/tex]
(linear pair of angles)
[tex]x = 180 - 120[/tex]
[tex]x = 60[/tex]
I’ll love you forever if you help me wit dis ASAP
Answer:
the first is 14cm and second is 20.4cm
Step-by-step explanation:
plzzzzzzzzzzzzzzzzzzzz
Answer:
Simplify ans: 3 x^2 y^-4
a no = x( x+2)
b no = 2x(x- 3)
c no = 5x(3- 2x^2)
d no.= 3x^2( 3+ x)
Hope this helps you
Answer:
see explanation
Step-by-step explanation:
Using the rules of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] ⇔ [tex]a^{(m-n)}[/tex] ( m > n)
[tex]\frac{a^{m} }{a^{n} }[/tex] ⇒ [tex]\frac{1}{a^{(n-m)} }[/tex] ( n > m )
Given
[tex]\frac{21x^6y^5}{14x^2y^9}[/tex]
= [tex]\frac{21}{14}[/tex] × [tex]x^{(6-2)}[/tex] × [tex]\frac{1}{y^{(9-5)} }[/tex]
= [tex]\frac{3}{2}[/tex] × [tex]x^{4}[/tex] × [tex]\frac{1}{y^{4} }[/tex]
= [tex]\frac{3x^4}{2y^4}[/tex] ← with positive exponents
--------------------------------------------------
(a)
x² + 2x ← factor out x from each term
= x(x + 2)
(b)
2x² - 6x ← factor out 2x from each term
= 2x(x - 3)
(c)
15x - 10x³ ← factor out 5x from each term
= 5x(3 - 2x²)
(d)
9x² + 3x³ ← factor out 3x² from each term
= 3x²(3 + x)
What is the distance between points A and B?
A number line going from 0 to 2 in increments of 1. There are 3 equal spaces between each number. Point A is one mark to the right of 1. Point B is one mark to the right of point A.
One-third
One-half
1 One-third
1 One-half
Answer:
one-third
Step-by-step explanation:
A B
<-------+---------+---------+---------+--------+---------+---------+--------------->
0 1 1 1/3 1 2/3 2
Since each unit is divided into three equal spaces, each space is 1/3 of a unit.
Between any two consecutive marks, the distance is 1/3 unit.
Answer: one-third
Acar is traveling at 65 miles per hour. What happens to the number of miles when the number of hours changes?
When the number of hours increases the number of miles decreases
When the number of hours increases the number of miles increases.
When the number of hours decreases the number of miles increases.
When the number of hours decreases the number of miles stays the same.
PLEASE HELP!!1
Four intersecting lines, t, v, u, and w, are shown in the diagram.
===============================================
Explanation:
Line w and line t are parallel if and only if the corresponding angles (4x+60) and (9x) are congruent.
9x = 4x+60
9x-4x = 60
5x = 60
x = 60/5
x = 12
If x = 12, then
9x = 9*12 = 108
4x+60 = 4*12+60 = 48+60 = 108
Both corresponding angles would be 108 degrees if x = 12. So this confirms we have the right x value.
The total number of students in the seventh grade is 9 more than 4 times as many students as are in the art class. There are 101 students in the seventh grade. Write and solve an equation to find the number of students in the art class. Let x represent the number of students in the art class.
Answer:
9 + 4x = 101
Step-by-step explanation:
9 + 4x = 101 Equation
( +9 - 9 ) + 4x = ( 101 - 9 ) Subract 9 on both sides
4x = 92 Simplify
x = 23 Divide 4 on both sides
23 people in art class
The function y=3.75x+2.5 represents the cost y(in dollars) of a taxi ride of x miles.
A) Identify the independent and dependent variables.
B) Find the maximum number of miles you could travel if you only had 20 dollars.
Answer:
happy new year
Step-by-step explanation:
i am your biggest fan I am your teacher you fill
What is the rule used to reflect the triangle ABC to its image?
A. Reflect over y = -x
B. Reflect over y = x
C. Reflect over the x axis
D. Reflect over the y-axis
Answer:
The rule used to reflect Δ ABC to its image is Reflect over y = x ⇒ B
Step-by-step explanation:
If the point (x, y) reflected across the x-axis , then its image is (x, -y) If the point (x, y) reflected across the y-axis , then its image is (-x, y) If the point (x, y) reflected across the line y = x , then its image is (y, x) If the point (x, y) reflected across the line y = -x , then its image is (-y, -x)From the given figure
∵ The coordinates of point A are (-4.5, 6)
∵ The coordinates of point A' are (6, -4.5)
→ The coordinates are switched ⇒ 3rd rule
∴ Point A is reflected over the line y = x
∴ Δ ABC is reflected over the line y = x
∴ The rule used to reflect Δ ABC to its image is Reflect over y = x
Note: Point B' on the graph should be C' and point C' should be B' (correct it)
Help please!!!!!!!!!!!!!
Answer:
position 1 5 8 12 19 25
term -8 8 20 36 64 88
Step-by-step explanation:
(n - 1) is position ( n ∈ N)
d is the distance between the numbers in the sequence
a1 is the first number in the sequence
we have the fuction: a(n) = a1 + (n - 1)d
see in the table, with position = 1, term = -8 => a1 + d = -8
position = 25, term = 88 => a1 + 25d = 88
=> we have: a1 + d = -8
a1 + 25d = 88
=> a1 = -12
d = 4
=> a(n) = -12 + 4(n - 1)
=> term = 8, position = (8 + 12)/4 = 5
position = 8, term = -12 + 4.8 = 20
term = 36, position = (36 + 12)/4 = 12
position = 19, term = -12 + 4.19 = 64
Answer:
The required table is:
Position 1 5 8 12 19 25
Term -8 8 20 36 64 88
Step-by-step explanation:
The general formula for arithmetic sequence is:
[tex]a_n=a_1+(n-1)d[/tex]
where n is the nth term, a₁ is the first term and d is the difference.
Looking at the table, we know that
a₁ = -8 and
a₂₅ = 88
We can find the common difference d:
[tex]a_n=a_1+(n-1)d\\n=25, a_1=-8, a_{25}=88\\a_{25}=a_1+(25-1)d\\88=-8+24(d)\\88+8=24\:d\\96=24\:d\\d=\frac{96}{24}\\d=4[/tex]
So, we have d = 4
Now we can fill the remaining table.
We have to find position n, when term (a_n) is 8
[tex]a_n=a_1+(n-1)d\\8=-8+(n-1)4\\8=-8+4n-4\\8=-12+4n\\8+12=4n\\20=4n\\n=\frac{20}{4}\\n=5[/tex]
So, when term is 8, position is 5
We have to find term a_n when position n is 8
[tex]a_n=a_1+(n-1)d\\a_8=-8+(8-1)4\\a_8=-8+7(4)\\a_8=-8+28\\a_8=20[/tex]
So, when position is 8 term is 20
We have to find position n, when term (a_n) is 36
[tex]a_n=a_1+(n-1)d\\36=-8+(n-1)4\\8=-8+4n-4\\8=-12+4n\\36+12=4n\\48=4n\\n=\frac{48}{4}\\n=12[/tex]
So, when term is 36, position is 12
We have to find term a_n when position n is 19
[tex]a_n=a_1+(n-1)d\\a_{19}=-8+(19-1)4\\a_{19}=-8+18(4)\\a_{19}=-8+72\\a_{19}=64[/tex]
when position is 19 term is 64
So, the required table is:
Position 1 5 8 12 19 25
Term -8 8 20 36 64 88
2. You are rolling a number cube. What is the probability that you will roll a
3? Answer in fraction form only.
Answer:
Step-by-step explanation:
1/2
Jordan bought pants that were $29.95. The sales tax amount is 9%. What is the amount of sales tax? What is the total cost of the pants (cost + tax)? Solve any way you wish, showing your thinking.
Answer:
$32.65
Step-by-step explanation:
To find the tax, multiply 29.95 by .09. This gets us 2.6955. We can round this to $2.70. Now, we add the tax to the cost of the pants. This gets us 32.65. This means the total cost, with tax, is $32.65.
Given m||n, find the value of x
Answer:
143
Step-by-step explanation: