The number of laps around the lake did Heather run last week when the Ken ran 10 laps around the lake is 20/3.
What is the fraction number?Fraction number is the number which is a part of a whole number. It is written with a numerator and denominator. Fraction number are written as,
[tex]\dfrac{a}{b}[/tex]
Here (a) is the numerator and (b) is the denominator.
Last week, Ken ran 10 laps around the lake. Heather ran 2/3 as many laps around the lake as Ken did. Thus, the number of laps heather ran is,
[tex]x=\dfrac{2}{3}\times10\\x=\dfrac{20}{3}[/tex]
Hence, the number of laps around the lake did Heather run last week when the Ken ran 10 laps around the lake is 20/3.
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what is the decimal equivalent of 5/9?
A.0.35
B.0.5
C 0.59
D. 0.72
Karl earns $8.50 per hour at his part-time job. Last week he worked 18 hours. This week he worked 14 hours. What is the total amount of money that Karl earned for working these two weeks?
Write
8
38
in lowest terms.
Answer:
4/19
Step-by-step explanation:
Both the numerator and denominator can be divided by 2, giving 4/19
URGENT PLEASE IM BEING TIMED!!!
What are the solutions to the system of equations graphed below?
(-5, -4) and (2, 0)
(0, 4) and (2, 0)
(-5, -4) and (0, -1)
(0, 4) and (0, -1)
Answer:
(2,0)
(-5,-4)
Step-by-step explanation:
you first have to determine where the two graphs intersect, then easily you should write the (x,y) of the point in which there is an intersection
WILL GIVE BRAINLIEST
Write 2/7x(1.4x^2-3.5y) as a polynomial
The expression (2/7)x (1.4x² - 3.5y) can be written in the form of a polynomial as 0.4x³ - xy.
What is polynomial?Polynomial is an algebraic expression that consists of variables and coefficients. Variables are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.
The expression is given below
[tex]\rm \dfrac{2x}{7} \times (1.4x^2-3.5y)[/tex]
The expression can be written in the form of the polynomial
[tex]\rightarrow \rm \dfrac{2x}{7} \times (1.4x^2-3.5y)\\\\\\\rightarrow \rm \dfrac{2x \times 1.4x^2}{7} - \dfrac{3.5y\times 2x}{7 }\\\\\\\rightarrow \dfrac{2.8x^3}{7} - \dfrac{7xy}{7 }\\\\\\\rightarrow 0.4x^3 - xy[/tex]
The expression in the form of a polynomial is given as
[tex]\rm \rightarrow 0.4x^3 - xy[/tex]
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After awarding its money this year, the program received a gift of $1,275. The program leader decided to award this money to an additional 15 students. How much money did each of these students receive?
Answer:
pls like and make me brainliest :)
Step-by-step explanation:
1275 divided by 15=$85 each
If the length of a rectangle is 4 more than the width and if the perimeter of the rectangle is 52, what is the width of the rectangle? O 11 O 12 O 15 0 24
Answer:
11
Step-by-step explanation:
Perimeter is figured out by adding all 4 sides.
Width of 11 + width 11 + length 15 + length 15 = 52
And the length of 15 is 4 more than the width of 11
this is slopes and graphing and i dont know how to do it
Answer:
Slopes is like a slide
Step-by-step explanation:
let me slide into you snap ajhare03
it takes 24 feet to fence to surround a square piece of land in lindas back yard
I hate asking for help, but maths GCSE edexcel people or anyone who can do this please help! Need explanation
Basically to find solutions of the equation. Find the x intercept points.
Equation: x² - 4x + 2
when solved using quadratic formula:
[tex]\dashrightarrow \sf x_{1,2}= \dfrac{-\left(-4\right)\pm \sqrt{\left(-4\right)^2-4\cdot \:1\cdot \:2}}{2\cdot \:1}[/tex]
[tex]\dashrightarrow \sf x_1 \dfrac{-\left(-4\right)+2\sqrt{2}}{2\cdot \:1},\:x_2=\dfrac{-\left(-4\right)-2\sqrt{2}}{2\cdot \:1}[/tex]
[tex]\dashrightarrow \sf x=2+\sqrt{2}, \ 2-\sqrt{2}[/tex]
[tex]\dashrightarrow \sf x=3.414, \ 0.586[/tex]
These are the solutions to the quadratic equation.
Answer:
x ≈ 0.6 , x ≈ 3.4
Step-by-step explanation:
the solutions to the quadratic equation from the graph are where the graph crosses the x- axis.
these are at approximately x = 0.6 and x = 3.4
The set of ordered pairs below represents a linear function
((-2,-3), (0,-2), (2, -1), (x, y)}
What is another pair of coordinates that could be the missing ordered pair, (x,y),
in this set?
Another pair of coordinates that could be the missing ordered pair, (x,y) in this set is (1, 0)
Linear functionsLinear functions are functions that have a leading degree of one,
Given the coordinate points ((-2,-3), (0,-2), (2, -1), (x, y)}, we need to determine the missing coordinate points
Since the x-coordinates has a difference of 2, hence the missing x-coordinate is given as:
x = -1 + 2
x = 1
For the y-coordinate
y = -1 + 1
y = 0
Hence another pair of coordinates that could be the missing ordered pair, (x,y) in this set is (1, 0)
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Find the equation of the line that goes through the points (2, 2) and (6, 6).
y = 6x + 2
y = -x
y = 2x + 6
y = x
Answer:
D
Step-by-step explanation:
y=6x+2
2=12+2
NO
y=-x
2=-2
NO
y=2x+6
2=4+10
NO
y=x
2=2
6=6
Answer:
[tex]y=x[/tex]
Step-by-step explanation:
We will use slope-intercept form:
[tex]y=mx+b[/tex]
Where [tex]m=[/tex]slope and [tex]b =[/tex]y-intercept
To find the slope we use the slope formula:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
We plug in the coordinates getting:
[tex]\frac{6-2}{6-2} =\frac{4}{4} = 1[/tex]
So we have a slope of 1:
[tex]y=(1)x+b[/tex]
If we look at the answer choice we see that only one of them has a slope of 1 so the equation is:
[tex]y =x[/tex]
10.) It costs $5 to enter the arcade and $0.75 for every game you play once inside.
You have
$20 to spend. How many games can you play?
Write
an equation using g to stand for the games. Solve your equation for g.
Answer:
y=0.75x+5
Step-by-step explanation:
x=20
y=20
20-5=15
15/0.75=20
20 games
HELP
Marine had a cable that was 875 feet long. He cut the cable into 23 equal pieces.
Which measurement is closest to the length of each of these pieces of cable?
A. 38 feet
B. 35 feet
C. 31 feet
D. 30 feet
Answer:
its answer a :)
Step-by-step explanation:
875/23 = 38.04, round down to get 38
Select the correct answer from each drop-down menu. observe the functions below. complete the following sentences to compare the two functions. over the interval , the average rate of change of g is greater than the average rate of change of f. as the value of x increases, the average rates of change of f and g , respectively. when the value of x is equal to 8, the value of . it can be further generalized that a quantity increasing exponentially will exceed a quantity increasing linearly.
The answers will be:
(4, 5)remain constant and increaseg(x) exceeds the value of f(x)What is Slope and curve?a) The slope of the curve g(x) roughly matches that of f(x) at about x=4. Above that point, the curve g(x) is steeper than f(x), so its average rate of change will exceed that of f(x). An appropriate choice of interval is (4, 5).
b) As x increases, the slope of f(x) remains constant (equal to 4). The slope of g(x) keeps increasing as x increases. An appropriate choice of rate of change descriptors is (remain constant and increase).
c) The curves are not shown in the problem statement for x = 8. The graph below shows that g(x) has already exceeded f(x) by x=7. It remains higher than f(x) for all values of x more than that. We can also evaluate the functions to see which is greater:
f(8) = 4·8 +3 = 35
g(8) = (5/3)^8 ≈ 59.54 . . . . this is greater than 35
g(8) > f(8)
d) Realizing that an exponential function with a base greater than 1 will have increasing slope throughout its domain, it seems reasonable to speculate that it will always eventually exceed any linear function (or any polynomial function, for that matter).
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1. (4,5)
2. remain constant and increase
3. g(x) exceeds the value of f(x)
4. eventually
Step-by-step explanation:
Miranda is standing at the corner of a
70 m by 110 m soccer field. She needs
to go to the corner diagonally opposite
from where she is standing. How
much shorter is it if she cuts across the
diagonal instead of walking around
the perimeter of the field? Round your
answer to the nearest tenth.
The distance between the diagonal and the the perimeter of the field is given by D = 229.2 m
What is the diagonal of a rectangle?The diagonal of a rectangle is calculated by the formula
From the Pythagoras Theorem , The hypotenuse² = base² + height² , and
Diagonal of a Rectangle = √ ( Length )² + ( Width )²
Given data ,
Miranda is standing at the corner of a 70 m by 110 m soccer field.
Let the dimensions of the rectangle be 70m x 100m
Now , the length of the diagonal is D
And , from the Pythagoras theorem ,
Diagonal of a Rectangle = √ ( Length )² + ( Width )²
D = √ ( 70 )² + ( 110 )²
D = 130.8 m
Now , the perimeter of the rectangle is P = 2 ( 70 + 110 ) = 360 m
And , walking around the perimeter of the field
Now , by cutting across the diagonal instead of walking around the perimeter of the field, Miranda can save approximately 360 m - 130.8 m ≈ 229.2 m.
Hence , the diagonal of the rectangle is 130.8 m
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please help, i’ll give 20 points
Based on her past experiences, a homeowner estimates that appliances lose 25% of their resale value each year. If her estimate is accurate, how much will an appliance currently valued at $1,500 be worth in 8 years?
Using an exponential function, it is found that an appliance currently valued at $1,500 will be worth $150.17 in 8 years.
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem, we have that:
The appliance is currently valued at $1,500, hence A(0) = 1500.It loses 25% of their resale value each year, hence r = 0.25.Thus, the equation is given by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
[tex]A(t) = 1500(1 - 0.25)^t[/tex]
[tex]A(t) = 1500(0.75)^t[/tex]
In 8 years, the value will be given by:
[tex]A(8) = 1500(0.75)^8 = 150.17[/tex]
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Manuel labore earns $19. 50/hr. And works an average of 38 hours a week. He is considering renting a house for $1,700/ month. His real estate friend recommends he spend no more than 28% of his monthly income on housing.
Answer:
Given:
Wage = $19.50 per hourWeekly hours worked = 38⇒ Weekly income = 38 × $19.50 = $741
⇒ Monthly income = ($741 × 52.14) ÷ 12 = $3219.65
28% of monthly income
= 0.28 × $3219.65 = $901.50
As $1700 > $901.50 Manuel should not rent the house for $1700 per month since it is more than 28% of his income.
The cost of rent at $1700 per month is actually 52.8% of his monthly income:
(1700 / 3219.65) x 100 = 52.8%
Wendy drives a car 110 kilometers per hour. What is this rate, in miles per hour, to the nearest tenth?
Answer:
68.3 miles per hour
Step-by-step explanation:
One kilometer is 0.62 miles.
110 times 0.62 is 68.3
Wendy's rate of 110 kilometers per hour is 68.3 miles per hour.
To convert kilometers per hour to miles per hour, we need to use the conversion factor of 1 kilometer = 0.621371 miles.
Given that Wendy drives at a rate of 110 kilometers per hour.
we can multiply this value by the conversion factor to obtain the equivalent rate in miles per hour.
110 kilometers per hour × 0.621371 miles per kilometer
= 68.34381 miles per hour
We get 68.3 miles per hour.
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State the center and radius of each circle. then write the equation of the circle in standard form.
See attached:
Answer:
Step-by-step explanation:
Center: (h, k) (the coordinate of the middle point)r(radius): d(diameter)/2 (can be found by counting the number of units vertically or horizontally)Standard form of a circle: (x - h)² + (y - k)² = r²1.
Center: (-2, 3)
Radius: 10/2 = 5
Standard form/ equation: (x + 2)² + (y - 3)² = 25
Standard form:
(x - (-2))² + (y - 3)² = 5²
(x + 2)² + (y - 3)² = 25
2.
Center: (1, 1)
Radius: 6/2 = 3
Standard form/ equation: (x - 1)² + (y - 1)² = 9
Standard form:
(x - 1)² + (y - 1)² = 3²
(x - 1)² + (y - 1)² = 9
Hope this helps!
#1
Centre(-2,3)Radius=5=rEquation:-
(x-h)²+(y-k)²=r²(x+2)²+(y-3)²=5²(x+2)²+(y-3)²=25★More simply.
x²+4x+4+y²-6y+9=25x²+y²+4x-6y=12#2
Centre(1,1)Radius=3Equation
(x-1)²+(y-1)²=3²(x-1)²+(y-1)²=9★Circle A and Circle B have radii of 8 cm and 5 cm. BC and BD are tangent to Circle A. Find CF
Maria deposited 1200 in savings account for 5 years. The
interest rate is 4. 5%. What will be total balance in her account
after 5 years.
Answer:
compound interest would be,
1495.91
and simple interest would be,
1470
Step-by-step explanation:
compound interest would look like,
1200 x 1.045 x 1.045 x 1.045 x 1.045 x 1.045
and simple interest would look like,
1200 x 0.045 = 54 = 4.5%
54 x 5 = 270
1200 + 270 = 1470
3. A line passes through (9. -9) and (10,-5).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in standard form using integers.
y-9= 4(x-9); -4x + y = 45
y+9= 4(x-9); -4x+y = -45
y-9= 4(x +9); -4x+y = 45
y+9= 4(x +9); -4x+y = -45
Step-by-step explanation:
a. y-y1/y2-y1=x-x1/x2-x1
y+9/-5+9=x-9/10-9
y+9/4=x-9/1
y+9/4=x-9
b. y+9=4(x-9)
y+9=4x-45
y-4x=-45-9
y-4x=-54
How many times did a batter come to the plate during the time period?
Answer:
1610 times
Step-by-step explanation:
Number of times a batter came to the plate
Number of left-handed batters + Number of right-handed batters1193 + 4171610 timesall possible 4 digit patterns with 2,4,5,6,7,8,9
Answer:
7^4 = 2401
Step-by-step explanation:
___, ___, ___, ___
all blank spaces can be filled with all 7 numbers each.. so 7*7*7*7 is total number of paterns you can get if repititions is allowed
Find the length of the missing side please help
Step-by-step explanation:
7. Since they are similar triangles we have:
[tex] \frac{10}{8} = \frac{x}{12} \\ \\ x = 15[/tex]
So DF is 15
8. They are also similar. So:
[tex] \frac{14}{7} = \frac{x}{5} \\ x = 10[/tex]
So PR is 10
Solve the following system mathematically. Place the solution in the ordered pair set provided below
y = 4x - 11
- 4x - y = -5
Answer:
ok real answer 2,-3
Step-by-step explanation:
Find the missing angles of the triangle (number 5)
Pls help my grades are bad
Answer:
Answer is [tex]m(-1/2)=-1/12[/tex]
Step-by-step explanation:
[tex]m(-\frac{1}{2})=\frac{1}{6} *-\frac{1}{2} =-\frac{1}{12}[/tex]