Nathan biked a total of 135 miles.
What is miles?Miles unit of distance between 2.1 map of the link of a johnny the tomb my list divided for the letting word thousand and the world to 1.609 kilometers my life report unit measurement is a united states uk kannada some other countries.
To solve this problem, we need to use the given information to find the amount of miles that Jeremy biked. Since Jeremy biked 3 times as many miles as Riley, we know that Jeremy biked 15 x 3 = 45 miles.
Since Nathan biked 3 times as many miles as Jeremy, we know that Nathan biked 45 x 3 = 135 miles. Therefore, Nathan biked a total of 135 miles.
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Find the area of the irregular figure. Use 3.14 for π. Show your work. Round to the nearest tenth.
Answer:
The area of the irregular figure is 8.1 ft² (rounded to the nearest tenth).
Step-by-step explanation:
The irregular figure is made up of:
A triangle with height 3.6 ft and base 2.8 ft.A semicircle with diameter 2.8 ft.Area of the triangle[tex]\boxed{\begin{aligned}\sf Area\;of\;triangle&=\sf \dfrac{1}{2} \times base \times height\\\\&=\sf \dfrac{1}{2} \times 2.8 \times 3.6\\\\&=\sf 1.4 \times 3.6\\\\&=\sf 5.04 \; ft^2\end{aligned}}[/tex]
Area of the semicircle[tex]\boxed{\begin{aligned}\sf Area \; of\;semicircle&= \sf \dfrac{1}{2} \pi r^2\\\\&= \sf \dfrac{1}{2}\times 3.14 \times (1.4)^2\\\\&= \sf \dfrac{1}{2}\times 3.14 \times1.96\\\\&= \sf 1.57 \times1.96\\\\&= \sf 3.0772\; ft^2\end{aligned}}[/tex]
Area of the irregular figure[tex]\boxed{\begin{aligned}\sf Area \;of\;irregular\;figure&=\sf Area\;of\;triangle+ Area\;of\;semicircle\\\\&=\sf 5.04+3.0772\\\\&=\sf 8.1172\\\\&=\sf 8.1\; ft^2\;(nearest\;tenth)\end{aligned}}[/tex]
Therefore, the area of the irregular figure is 8.1 ft² rounded to the nearest tenth.
16=k/11
if you can please use this technic
I know its not many points but I need this,
thank you
Answer:
k = 176
Step-by-step explanation:
16 = k/11
16 * 11 = k/11 * 11
176 = k
Because k is being divided by 11 on the right-hand side of the equation, we would need to multiply both sides by 11 to undo the division operation done to k so we can isolate it.
Solve the formula for the variable h.
F= 4gh
Answer:
h = F/4g
Step-by-step explanation:
Which function describes this graph?
-61
-5
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
O A. y = (x+5)(x-3)
OB. y-(x-2)(x - 5)
OC. y = x² +5x+12
OD. y=x+7x+10
5
Answer:
D. y = x² +7x +10
Step-by-step explanation:
You want the function that describes a graph showing a quadratic with roots of -5 and -2.
EquationThe factored form of the equation can be written from the x-intercepts (roots) by considering that a root of p means (x -p) is a factor. The factored equation is ...
y = (x -(-5))(x -(-2)) = (x +5)(x +2) . . . . . doesn't match A or B
When this is multiplied out, it becomes ...
y = x² +5x +2x +10 = x² +7x +10 . . . . . . matches choice D
The equation is y = x² +7x +10.
Find the difference in value between five in 14532 and five in 12754.
Solve for x. 6/-4.5=8/4x
Answer: x = -3/2 , x = -1 1/2 , x = -1.5
Step-by-step explanation:
6/-4.5 = 8/4x
first determine the defined range --> x ≠ 0
cancel out the common factor 4 --> 6/-4.5 = 2/x
the convert the decimal into a fraction --> 6/-9/2 = 2/x
now use -a/b = a/-b = -a/b to rewrite the fraction --> 6/-9/2 = 2/x
then simplify the complex fraction --> -4/3 = 2/x
simplify the equation using cross-multiplication --> -4x=6
divide both side of the equation by -4 --> x = -3/2 , x ≠ 0
lastly, check if the solution is in the defined range --> x = -3/2
solution : x = -3/2
Alternative form: x = -1 1/2 , x = -1.5 (simplified)
Which multiplication equation best represents the figure?
The multiplication equation best represents the figure will be 6 x 0.32 = 1.92. Then the correct option is B.
What is Algebra?Algebra is the examination of ideational signs while reasoning the manipulation of all those thoughts.
The big square block represents the 1 unit. And each small block represents 0.01 units.
The number of small blocks which are marked by the color in one shot is 32 which means 0.32 units.
And these processes are done six times, then the expression that represents the condition is given as,
6 x 0.32 = 1.92
The multiplication equation best represents the figure will be 6 x 0.32 = 1.92. Then the correct option is B.
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Cand I get the answer to “Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
6-3/4x + 1/3 = 1/2x +5”
Answer:
12
Step-by-step explanation:
6 - 3/4x + 1/3 = 1/2x + 5
6 - 9/12x + 4/12 = 6/12x + 5 If I multiply all the way through by 12 I will eliminate the fraction
72 - 9x + 4 = 6x+ 60
A serving is 1/2 of a cookie how many servings can be made from 3/8 cookies PLEASE
Answer:
3/4 servings
Step-by-step explanation:
Each serving = 1/2
There are 3/8 cookies.
How many times 1/2 "fits" into 3/8 = how many servings.
3/8 / 1/2
= 3/8 * 2
= 3/4 servings
The cost of food sold in a bistro is $67,000 for the quarter. If food sales during that quarter are $187,000, what is the bistro’s food cost percent?
Bistro’s food cost percent is 35.83%
What is Food cost percent?
Food cost percentage is calculated by taking the cost of goods sold and dividing that by the revenue or sales generated from that finished dish.
Food cost percent is calculated using the following formula:
Total Food Cost Percentage = (Total Cost of Goods Sold / Total Revenue) x 100
From the parameters in the question,
Total Food Cost Percentage = 67,000/187,000 x 100
Total Food Cost Percentage = 6,700,000/187000
Total Food Cost Percentage = 35.73%
Hence, the Bistro’s food cost percent is 35.83%
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How many meters are in 30 yards? Conversion factor 1m =1.09 yards round to the nearest tenth
Answer:
27.52
Step-by-step explanation:
1m =1.09 yards
30/1.09 = 27.52
Zachary purchased a computer for $1,400 on a payment plan. Four months after he purchased the computer, his balance was $780. Eight months after he purchased the computer, his balance was $160. What is an equation that models the balance y after × months?
The equation ________ models the balance y after x months.
(Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation. Do not include the $ symbol in your answer.)
Answer:
y = -140x + 1400
Step-by-step explanation:
First, we'll find the slope, m, using the formula:
m = (160 - 780) / (8 - 4) = -620 / 4 = -155
Next, we'll use one of the points and the slope to find the y-intercept, b:
b = y - mx
We'll use the point (4, 780) to find b:
b = 780 - (4 * -155) = 1400
So the equation that models the balance, y, after x months is:
y = -155x + 1400
And since -155 can be simplified to -140, the equation becomes:
y = -140x + 1400
into 12 squares. Place on a greased tray and bake at paration time: 30 minutes Determine: Cooking time: 15 minutes a) the total time (in hours) to prepare and cook the scones. b) the number of me all-purpose flour needed to bake 36 scones. c) The thickness of the dough in centimetres. Mrs Msimango baked 48 scones, determine the following ingredient required: number of teaspoons of salt. ml of butter. If Mrs Msimango started making the scones at 14:55, at what time will it be ready for eating? a) b) Express the baking temperature of 356 °F in °C Use the formula: °C (°F-32°) ÷ 1,8 ΤΟΥ
a) The total time taken in hours is 0.75 hours
b) The amount of all-purpose flour needed is not given in the question.
c) The thickness of the dough in centimetres is not given.
d) The amount of salt needed per scone is not given.
e) The amount of butter needed per scone is not given.
f) It will be ready for consumption by 15:30
g) 356°F in °C can be calculated using the formula:
°C = (356°F - 32°) / 1.8 = 180°C.
Step by step explanationa) Total preparation and cooking time = 30 minutes + 15 minutes = 45 minutes = 0.75 hours
b) To bake 36 scones, we need:
36 scones * all-purpose flour needed to bake 1 scone = all-purpose flour needed to bake 36 scones
The amount of all-purpose flour needed is not given.
c) The thickness of the dough in centimetres is not given.
d) Mrs. Msimango baked 48 scones, so the number of teaspoons of salt required would be:
48 scones * teaspoons of salt needed per scone = teaspoons of salt needed for 48 scones
The amount of salt needed per scone is not given.
e) Mrs. Msimango baked 48 scones, so the number of millilitres of butter required would be:
48 scones * ml of butter needed per scone = ml of butter needed for 48 scones
The amount of butter needed per scone is not given.
f) If Mrs. Msimango started making the scones at 14:55, they would be ready to eat at 14:55 + 0.75 hours = 15:30.
g) 356°F in °C can be calculated using the formula:
°C = (356°F - 32°) / 1.8 = 180°C
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pleaseee i really need help with this
here is the picture
Consider this right triangle.
Enter the measure of ZM to the nearest degree.
Answer:
21°
Step-by-step explanation:
For this right-angled triangle:
∠M = angle in question
Side LM = Hypotenuse
With respect to ∠M:
Side LN = Opposite side
Side MN = Adjacent side
Trigonometric function applied:
sin∠M = [tex]\frac{opposite}{hypotenuse}[/tex]
= [tex]\frac{8}{22}[/tex]
∠M = [tex]sin^{-1} (\frac{8}{22})[/tex]
= 21.32°
∠M = 21° (Rounded to the nearest degree)
Answer:
∠M = 21°
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{9.4 cm}\underline{Trigonometric ratios} \\\\$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}[/tex]
From inspection of the given right triangle:
The angle to be found is M ⇒ θ = MThe side opposite ∠M is LN ⇒ O = 8The hypotenuse is LM ⇒ H = 22Therefore, substitute the given values into the sine ratio and solve for ∠M:
[tex]\implies \sin(M)=\dfrac{8}{22}[/tex]
[tex]\implies M=\arcsin \left(\dfrac{8}{22}\right)[/tex]
[tex]\implies M=21.323686...^{\circ}[/tex]
[tex]\implies M=21^{\circ}\sf\;(nearest\;degree)[/tex]
Therefore, the measure of ∠M to the nearest degree is 21°.
) The ratio of boys to girls on a softball team was 5:3. For every 35 girls how many ratio of boys will be there?
A ratio has two or more numbers that symbolize relation to each other. Ratios are used to compare numbers, and you can compare them using division.
If the ratio is 5: 3, (girls: boys) we can use this equation to figure out how many boys there are if there are 35 girls:
35 × 0.6 = 21Why do we multiply by 0.6?We can see that in the ratio 5: 3, 5 is being multiplied by 0.6 to get three. If the relationship between the numbers 5 and 35 stays proportional, we multiply 35 by 0.6.
Therefore, the ratio of girls to boys is 35: 21, meaning there are 21 boys.
PLEASE HELP ME!
Anna is considering writing and publishing her own book She estimates her revenue equation as R = 6.56x and her cost equation as C = 10.063 + 1.09x where x is the number of books she sells. Find the minimum number of books she must sell to make a profit
Anna must sell atleast ? books to make a profit.
Step-by-step explanation:
In order to make a profit R > C
So let's make those equal first
R = C
[tex]6.56x = 10.063 + 1.09x[/tex]
Let's get X alone by subtracting 1.09x from both sides.
[tex]5.47x = 10.063[/tex]
Next we divide by 5.47
[tex]x = 1.83[/tex]
Rounding up to 2, looks like Anna needs to only sell 2 books to start making a profit
what is the solution?
x=3 and y=4
x=5 and y=4
x=4 and y=3
x=3 and y=2
Answer:
give me more instructions so i can actually help
Step-by-step explanation:
"Look at the Example. Suppose the club increases the selling price of a frame to
$13. Write an expression with exactly two terms for the amount of money the club
will make for selling fframes. Show your work
The expression with exactly two terms for the amount of money the club
will make for selling 'f' frames is 7f- 36.
What is Expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression.
Given:
Price of frame= $13
Material cost = $6
Renting both cost = $36
For selling 'f' frames the amount of money the club make
= (13f - 6f) - 36
= (13-6)f- 36
= 7f- 36
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You are thinking of combining Designer Whey and Muscle Milk to obtain a 7-day supply that provides exactly 412 grams of protein and 108 grams of carbohydrates. How many servings of each supplement should you combine in order to meet your requirements?
Answer: Let x be the number of servings of Designer Whey and y be the number of servings of Muscle Milk.
We know that:
x + y = 7 (because you want 7 days of supply)
And the protein content per serving of Designer Whey is 18g and the protein content per serving of Muscle Milk is 20g. So:
18x + 20y = 412 (because you want 412g of protein)
And the carbohydrate content per serving of Designer Whey is 4g and the carbohydrate content per serving of Muscle Milk is 8g. So:
4x + 8y = 108 (because you want 108g of carbohydrates)
We can now use the above two equations to solve for x and y. We'll start by solving for x in terms of y:
18x + 20y = 412
18x = 412 - 20y
x = (412 - 20y)/18
Now we can substitute this expression for x into the equation for the carbohydrates:
4x + 8y = 108
4((412 - 20y)/18) + 8y = 108
1664 - 80y + 8y = 1080
1664 = 1080 + 80y
584 = 80y
y = 7.3
Since y must be an integer, we'll round it down to 7. So y = 7. We can now use either equation to find x:
18x + 20y = 412
18x + 20 * 7 = 412
18x = 412 - 140
18x = 272
x = 15.1
Since x must be an integer, we'll round it up to 15. So x = 15.
Therefore, you should combine 15 servings of Designer Whey and 7 servings of Muscle Milk in order to meet your requirements.
Step-by-step explanation:
If it were two hours later, it would be half as long until midnight as it would be if it were an hour later. What time is it now?
Answer:
where represents the time two hours later than the current time. represents the time one hour later than current time. Henceforth, the time at present is 9 pm.
Step-by-step explanation:
2. d(1, 5), o(4, 6), g(3, 3) are midpoints of the sides of triangle cat. find the coordinates of points c, a and t
The coordinates can be determined by using mid point formula. Here the coordinates vertex C is (2,8), vertex A is (0,2) and vertex T is (6,4)
Here the midpoints are (1,5) , (4,6), (3,3).
By using mid point equation, x₁+x₂/2 = 1
So x₁+x₂ = 2 --------------------> eq 1
x₂+x₃/2 = 3
x₂+x₃ = 6 -----------------------> eq 2
x₁+x₃/2 = 4
x₁+x₃ = 8 -----------------------> eq 3
Adding equations 1,2,3
2( x₁+x₂+x₃) = 16
x₁+x₂+x₃ = 8 ---------------> 4
Determining x-coordinates
Subtracting equation 1 from 4
x₁+x₂+x₃ -(x₁+x₂) = 8-2
x₃ = 6
Similarly subtracting equation 2 from 4
x₁+x₂+x₃ -(x₂-x₃) = 8-6
x₁ = 2
Subtracting 3 from 4
x₁+x₂+x₃ -(x₁+x₃) = 8-8
x₂ = 0
Determining y coordinates
y₁+y₂/2 = 5
y₁+y₂ = 10 ----------------> 5
y₁+y₃/2 = 6
y₁+y₃ = 12 ----------------> 6
y₂+y₃/2 = 3
y₂+y₃ =6 --------------> 7
Adding equations 5,6 and 7
2(y₁+y₂+y₃) = 28
y₁+y₂+y₃ = 14 -----------------> 8
Subtracting equations 5,6 and 7 from 8
y₁+y₂+y₃ -(y₁+y₂) =14 - 10
y₃ = 4
y₁+y₂+y₃ -( y₂+y₃) = 14- 6
y₁ = 8
y₁+y₂+y₃-(y₁+y₃) = 14- 12 = 2
So the coordinates are (x₁ , y₁) =(2,8)
(x₂, y₂) = (0, 2)
(x₃, y₃) = (6,4)
So the coordinates of C,A and T are (2,8) , (0,2) and (6,4) respectively.
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Arianna models a can of ground coffee as a right cylinder. She measures its
circumference as 4 1/4 in and its volume as 9 cubic inches. Find the height of the can in
inches. Round your answer to the nearest tenth if necessary.
The height of the right cylinder is 0.011 inches approximately.
Volume Definition:
Every three-dimensional object occupies some space. It is being determined how big this area is. Volume is the term used to describe the area contained within an object's three-dimensional boundaries. It is referred to as the object's capability on sometimes.
‘Volume’ is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface.
Now in the given question,
Circumference,
[tex]2\pi r[/tex] = [tex]\frac{41}{4}[/tex]
[tex]r=\frac{41}{8\pi }[/tex]
V = 9 cubic inches
volume of cylinder = πr²h = 3.14×[tex]\frac{41}{8\pi }^2[/tex]×h
h = (9)÷(3.14×[tex]\frac{41}{8\pi }^2[/tex]) = 0.011 inches
therefore the height of the cylinder is 0.011 inches approximately.
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What is an inequality in math?
Answer:
An inequality in mathematics is a statement that compares two values, with the use of inequality symbols like < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to), and ≠ (not equal to). For example, the inequality "5 > 2" states that 5 is greater than 2. Inequalities can be used to represent real-world situations, such as expressing constraints or limitations.
Step-by-step explanation:
Let M be the event that a randomly selected IRSC student is male and P(M) = 0.45.
Round solutions to three decimal places, if necessary.
What is the probability that a randomly selected IRSC student is female?
Answer:
As P(M) = 0.45
P(F) = 1-0.45 = 0.55
P(Both students are male) = 0.45 x 0.45 = 0.2025 = 0.203 (cor to 3 dp)
P(Both students are female) = (1-0.45) x (1-0.45) = 0.55 x 0.55 = 0.3025 = 0.303 (cor to 3 dp)
P(First student male and second female) = 0.45 x 0.55 = 0.2475 = 0.248 (cor to 3 dp)
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If there are 30 king sized candy bars in a box and the box sells for $70.50 , how much does each candy bar in the box cost? Please help this paper is due tmr and I get my progress report tmr!!!
The cost of one candy bar is $2.35.
What is a unit price?The meaning of unit price is a price quoted in terms of so much per agreed or standard unit of product or service.
Given that, there are 30 king-sized candy bars in a box and the box sells for $70.50, we need to find that how much does each candy bar in the box cost,
Since, the cost of all 30 candies is given collectively, i.e. $70.50,
We will divide the cost of the whole box by the number of candies to find the unit price of the candies,
Unit price = $70.50 / 30
= $2.35
Hence, the cost of one candy bar is $2.35.
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You purchase 170 shares for $70 a share ($11,900), and after a year the price rises to $80. Calculate the percentage return on your investment if you bought the stock on margin and the margin requirement was (ignore commissions, dividends, and interest expense):
15 percent. Round your answer to one decimal place.
45 percent. Round your answer to one decimal place.
80 percent. Round your answer to one decimal place.
Answer:
see below
Step-by-step explanation:
170*70=11900
after one year 170*80 = 13600
gain on paper = 13600-11900 = 1700
80/70 = 1.14 so 14% if you had paid out of pocket
but then you bought on margin meaning you only used
15% of your money = 11900* 15% = 1785
but your gain was 1700, so your return = 1700/1785 = 95%
45% of your money = 11900* 45% = 5355
but your gain was 1700, so your return = 1700/5355 = 32%
85% of your money = 11900* 85% = 10115
but your gain was 1700, so your return = 1700/10115 = 17%
Express tan L as a fraction in simplest terms.
Answer:
Step-by-step explanation:
tan L = 8/15
The final price of the textbook for an English literature course is 7% more than the listed price when tax and shipping costs are included. If the listed price is $100, what is the final price of the textbook?
(Round to the nearest dollar.)
The Colorado Division of Wildlife netted and released 774 fish at Quincy Reservoir. There were 219 perch, 315 blue gill, 83 pike, and 157 rainbow trout. This is an observational study because a treatment was deliberately imposed on the individuals in order to observe a possible change in the response or variable being measured This is an observational study because observations and measurements of individuals are conducted in a way that doesn't change the response or the variable being measured This is an experiment because observations and measurements of individuals are conducted in a way that doesn't change the response or the variable being measured. This is an experiment because a treatment was deliberately imposed on the individuals in order to observe a possible change in the response or variable being measured.
Given the set of data used, This is an observational study because observations and measurements of individuals are conducted in a way that doesn't change the response or the variable being measured.
What is an Observational Study?An observational study draws conclusions from a sample of a population in disciplines like epidemiology, social sciences, psychology, and statistics when the independent variable is not under the researcher's control due to ethical considerations or practical limitations.
With this in mind, the set of data presented is conducted in a way that doesn't change the response or the variable being measured.
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