olivia can run 100 yards in 15 seconds. what is her speed in miles per hour?
14 mph
Step-by-step explanation:
13.636364
is what you get by doing
100/15 then you get 6.6666......7
after that you multiply that by 3600 because thats how many seconds in that hour.
Then you get 24000 and transfer it to miles and get 13.636364 and you round it and get 14mph
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Toni can carry up to 18 lb in her backpack. Her lunch weighs 1 lb, her gym clothes way 2 lb, and her books (b) weigh 3 lb each. how many books can she carry in her backpack?
Answer:
Toni can carry a total of 5 books.
Step-by-step explanation:
[tex]1+2+3b\leq18[/tex] - Write the inequality out .
[tex]3+3b\leq 18[/tex] - Combine like terms.
[tex]3b\leq 15[/tex] - Subtract 3 from both sides .
[tex]b\leq 5[/tex] - Divide both sides by 3.
She can carry a max of 5 books.
Hope this helps!
what are the two ways that rational numbers are written as decimals
Answer:
Repeating Decimals and Terminating Decimals
Step-by-step explanation:
Any number that can be written in fraction form is a rational number.
Hope This Helps :)
please solve the following question
Answer:
5
Step-by-step explanation:
15(8/(8+16))
15(8/(24))
15(1/3)
5
Answer:
4.95
Step-by-step explanation:
15(8÷(8+16))
= 15(8÷24)
= 15×0.33
Reason for this answer↑: It was written as “8÷24” not “24÷8”
= 4.95
Find the perimeter of triangle PQR if the vertices are P(3,0), Q(-1,3) and R(11,6).
[tex]\dag\bf\:P(x_1,y_1)=(3,0)[/tex]
[tex]\dag\bf\:Q(x_2,y_2)=(-1,3)[/tex]
[tex]\dag\bf\:R(x_3,y_3)=(11,6)[/tex]
❅ Distance between P and Q :
[tex]\sf\:PQ=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\sf\:PQ=\sqrt{(-1-3)^2+(3-0)^2}[/tex]
[tex]\sf\:PQ=\sqrt{(-4)^2+(3)^2}[/tex]
[tex]\sf\:PQ=\sqrt{16+9}[/tex]
[tex]\sf\:PQ=\sqrt{25}[/tex]
[tex]\bf\:PQ=5\:unit[/tex]
❅ Distance between Q and R :
[tex]\sf\:QR=\sqrt{(x_3-x_2)^2+(y_3-y_2)^2}[/tex]
[tex]\sf\:QR=\sqrt{(11-(-1))^2+(6-3)^2}[/tex]
[tex]\sf\:QR=\sqrt{(12)^2+(3)^2}[/tex]
[tex]\sf\:QR=\sqrt{144+9}[/tex]
[tex]\sf\:QR=\sqrt{153}[/tex]
[tex]\bf\:QR=12.37\:unit[/tex]
❅ Distance between P and R :
[tex]\sf\:PR=\sqrt{(x_1-x_3)^2+(y_1-y_3)^2}[/tex]
[tex]\sf\:PR=\sqrt{(3-11)^2+(0-6)^2}[/tex]
[tex]\sf\:PR=\sqrt{(-8)^2+(-6)^2}[/tex]
[tex]\sf\:PR=\sqrt{64+36}[/tex]
[tex]\sf\:PR=\sqrt{100}[/tex]
[tex]\bf\:PR=10\:unit[/tex]
◈ Perimeter of Triangle :
➝ perimeter = PQ + QR + PR
➝ perimeter = 5 + 12.37 + 10
➝ Perimeter = 27.37 unit
What is the simplified form of this expression (8x^2-3x+1/3) - (2x^2-8x+3/5)
Answer:=6x2+5x + −4/15
Step-by-step explanation:Let's simplify step-by-step.
8x2−3x+13−(2x2−8x+3/5)
Distribute the Negative Sign:
=8x2−3x+13+−1(2x2−8x+3/5)
=8x2+−3x+13+−1(2x2)+−1(−8x)+−1(3/5)
=8x2+−3x+13+−2x2+8x+−3/5
Combine Like Terms:
=8x2+−3x+1/3+−2x2+8x+−3/5
=(8x2+−2x2)+(−3x+8x)+(1/3+−3/5)
=6x2+5x+−4/15
Hotah and his 3 friends are each running 1/4 of a 2-mile relay race. How far is each person running?
Answer:
Each friend is running a half mile.
They are running 1/2 mile.
What are arithmetic operations?The operations of addition, subtraction, multiplication, division, exponentiation, and modulus are carried out by the arithmetic operators.
They cover the study of numbers, including the order of operations, which are useful in algebra, data handling, and geometry, among other areas of mathematics.
Given Hotah and his 3 friends are each running 1/4 of a 2-mile relay race
total distance covered by them out of 2 miles is
2 x 1/4 = 1/2 miles
Therefore each person runs at 1/2 a mile.
Learn more about arithmetic operations;
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Which of the following must be true?
А
If (d) = 58 then d = 58 only
B
If yl = 11 then y = 11 and y = -11
C
If [x] = 18 then r = -18 only
D
If [n] = -49 then n = -49 and n = 49
Answer:
A
Step-by-step explanation:
58=58
1. Describe two ways the numbers in each proportion are related.
a) 5:20 = 125:500 b) 10:1 = 120:12 c) 75:25 = 300: 100
d) 1:3 = 16:48
2. Multiply between ratios to determine each value of n.
a) 2:5 = 8:n b) 2:n = 6:9 c) n:5 = 12:20
d) 8:n = 4:15
Need
Read
the lo
3. Multiply within ratios to determine each value of z.
a) 4:8 = 3:2 b) 5:2 = 6:18 c) z: 14 = 10:20
d) 3:21 = z:56
Answer:
Each value has been identified below.
Step-by-step explanation:
(1) We have to describe two ways the numbers in each proportion are related;
(a) 5 : 20 = 125 : 500
One way of describing that the given ratios are in proportion is;
Product of means = Product of extremes
20 [tex]\times[/tex] 125 = 5 [tex]\times[/tex] 500
2500 = 2500
This shows that the given proportion is related.
Another way of describing that the given ratios are in proportion is;
As 5 : 20 = 125 : 500
We will check that; [tex]\frac{5}{125}[/tex] is equal to [tex]\frac{20}{500}[/tex] or not.
[tex]\frac{5}{125} = \frac{20}{500}[/tex]
[tex]\frac{1}{25} = \frac{1}{25}[/tex]
This shows that the given proportion is related.
(b) 10 : 1 = 120 : 12
One way of describing that the given ratios are in proportion is;
Product of means = Product of extremes
1 [tex]\times[/tex] 120 = 10 [tex]\times[/tex] 12
120 = 120
This shows that the given proportion is related.
Another way of describing that the given ratios are in proportion is;
As 10 : 1 = 120 : 12
We will check that; [tex]\frac{10}{120}[/tex] is equal to [tex]\frac{1}{12}[/tex] or not.
[tex]\frac{10}{120} = \frac{1}{12}[/tex]
[tex]\frac{1}{12} = \frac{1}{12}[/tex]
This shows that the given proportion is related.
(c) 75 : 25 = 300 : 100
One way of describing that the given ratios are in proportion is;
Product of means = Product of extremes
25 [tex]\times[/tex] 300 = 75 [tex]\times[/tex] 100
7500 = 7500
This shows that the given proportion is related.
Another way of describing that the given ratios are in proportion is;
As 75 : 25 = 300 : 100
We will check that; [tex]\frac{75}{300}[/tex] is equal to [tex]\frac{25}{100}[/tex] or not.
[tex]\frac{75}{300} = \frac{25}{100}[/tex]
[tex]\frac{1}{4} = \frac{1}{4}[/tex]
This shows that the given proportion is related.
(d) 1 : 3 = 16 : 48
One way of describing that the given ratios are in proportion is;
Product of means = Product of extremes
3 [tex]\times[/tex] 16 = 1 [tex]\times[/tex] 48
48 = 48
This shows that the given proportion is related.
Another way of describing that the given ratios are in proportion is;
As 1 : 3 = 16 : 48
We will check that; [tex]\frac{1}{16}[/tex] is equal to [tex]\frac{3}{48}[/tex] or not.
[tex]\frac{1}{16} = \frac{3}{48}[/tex]
[tex]\frac{1}{16} = \frac{1}{16}[/tex]
This shows that the given proportion is related.
(2) Now we have to determine each value of n in the following given ratios;
(a) 2 : 5 = 8 : n
As we know that Product of means = Product of extremes
5 [tex]\times[/tex] 8 = 2 [tex]\times[/tex] n
40 = 2n
[tex]n=\frac{40}{2}[/tex] = 20
Hence, the value of n is 20.
(b) 2 : n = 6 : 9
As we know that Product of means = Product of extremes
n [tex]\times[/tex] 6 = 2 [tex]\times[/tex] 9
6n = 18
[tex]n=\frac{18}{6}[/tex] = 3
Hence, the value of n is 3.
(c) n : 5 = 12 : 20
As we know that Product of means = Product of extremes
5 [tex]\times[/tex] 12 = n [tex]\times[/tex] 20
60 = 20n
[tex]n=\frac{60}{20}[/tex] = 3
Hence, the value of n is 3.
(d) 8 : n = 4 : 15
As we know that Product of means = Product of extremes
n [tex]\times[/tex] 4 = 8 [tex]\times[/tex] 15
4n = 120
[tex]n=\frac{120}{4}[/tex] = 30
Hence, the value of n is 30.
(3) Now we have to determine each value of z in the following given ratios;
(a) 4 : 8 = 3 : z
As we know that Product of means = Product of extremes
8 [tex]\times[/tex] 3 = 4 [tex]\times[/tex] z
24 = 4z
[tex]z=\frac{24}{4}[/tex] = 6
Hence, the value of z is 6.
(b) 5 : z = 6 : 18
As we know that Product of means = Product of extremes
z [tex]\times[/tex] 6 = 5 [tex]\times[/tex] 18
6z = 90
[tex]z=\frac{90}{6}[/tex] = 15
Hence, the value of z is 15.
(c) z : 14 = 10 : 20
As we know that Product of means = Product of extremes
14 [tex]\times[/tex] 10 = z [tex]\times[/tex] 20
140 = 20z
[tex]z=\frac{140}{20}[/tex] = 7
Hence, the value of z is 7.
(d) 3 : 21 = z : 56
As we know that Product of means = Product of extremes
21 [tex]\times[/tex] z = 3 [tex]\times[/tex] 56
21z = 168
[tex]z=\frac{168}{21}[/tex] = 8
Hence, the value of z is 8.
Describe the 4 cases to look out for when dealing with adding or subtracting integers
Answer:
Step 1: Take the absolute value of each number. Step 2: Subtract the number with a smaller absolute value from the number with bigger or larger absolute value. Step 3: Copy the sign of the number with the bigger or larger absolute value.
Step-by-step explanation:
In the 2010 Winter Olympics, American Tim Burke aspired to win an Olympic medal in the biathlon, an event that combines cross-country skiing and target shooting. Unfortunately, he wasn’t as successful as he’d hoped. After the 20K race, where he only hit 15 of his 20 targets, he criticized himself, saying his shooting was way below his average of 85% on the season so far. What does it mean if we claim that Burke’s ability to hit a target is 85%?
Answer:
If we claim that his ability to hit a target is 85% it means that he normally hits 17 out of 20 targets or 85 out of every 100 targets
Step-by-step explanation:
Percentage is the mathematics term for a ratio of numbers expressed in terms multiple of 100 and denoted by the symbol %. The percentage value has no unit and is used to compare proportion of items or to serve as a visible guide to the relative proportion event occurrence or prevalence of a characteristics within a population.
In the question, we have, the athlete's hitting average given as 85% of targets which means when presented with 20 targets, he is expected to hit 85% of the targets which is 0.85 × 20 = 17 hits.
what is sin 63°? round your answer to the nearest hundredth
Answer:
0.89
Step-by-step explanation:
it was right
The value of the trigonometric function sin 63° is 0.89. So option C is correct.
What is trigonometry?Trigonometry is a branch of mathematics, which deals with the study of right angle triangles. Trigonometry is concerned with specified functions of angles and their applications to calculations.
There are 6 commonly used functions in trigonometry with their name and abbreviations-
sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), cosecant (cosec)
Given that,
the trigonometric function is sin63°
the value of sin63° = ?
One of the way to calculate the value of sin63° is by using calculator
And from the calculator its value can be estimated as 0.89100
After round figure up-to two digit
we can write the value sin63° is 0.89.
Hence, the value of the function from the calculator is comes out as 0.89.
To know more about trigonometry check:
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ax + by = c
Solve for b
Answer:
[tex]b = \frac{c - ax}{y}[/tex]
Step-by-step explanation:
[tex]ax + by = c \\ by = c - ax \\ b = \frac{c - ax}{y} [/tex]
The frequency table shows the results of tossing a ball 24 times into the four coloured sections on a carnival game Section | number of | Tosses Blue | 3 Green | 5 Red | 12 Yellow | 4 Based on the data on the table, how many times will the ball most likely land in the yellow section when it is tossed 200 times? A. 35 B. 40 C. 50 D. 65
Answer:
50
Step-by-step explanation:
you toss the ball 24 times, and of those 24 times, it lands 12 times on the yellow section, so 12/24= 0.5
Answer: 50
Step-by-step explanation:
what is the difference between equality and inequailty
Answer:
Step-by-step explanation:
Inequality and equality is that inequality is an unfair, not equal state while equality is (uncountable) the fact of being equal.
Help please!!! 15 points!
congruence transformation pls help me thanks
Answer:
X,6,1
Step-by-step explanation:
i mean thats what i think the answer is.
it flips down over the x axis. (x)
then it moves right 6 (x+6)
then it moves up one (y+1)
find an equation of the line passing through the point (5 4) and parallel to the line whose equation is y= 2x-6
Answer:
[tex]y = 2x - 6[/tex]
Step-by-step explanation:
Given
Equation: [tex]y = 2x - 6[/tex]
Required
Determine the equation of Point: (5,4)
First, we need to determine the slope of [tex]y = 2x - 6[/tex]
The general form of an equation is [tex]y = mx + b[/tex]
Where m represents the slope;
Hence; [tex]m =2[/tex]
Since the equation and the point are parallel. then they have the same slope (m).
[tex]m = 2[/tex]
Next, is to determine the equation of the point, using the following formula:
[tex]m = \frac{y - y_1}{x - x_1}[/tex]
Where
[tex](x_1,y_1) = (5,4)[/tex]
So, the equation becomes
[tex]2 = \frac{y - 4}{x - 5}[/tex]
Cross Multiply
[tex]y - 4 = 2(x - 5)[/tex]
Open Bracket
[tex]y - 4 = 2x - 10[/tex]
Make y the subject of formula
[tex]y = 2x - 10 + 4[/tex]
[tex]y = 2x - 6[/tex]
Hence, the equation is [tex]y = 2x - 6[/tex]
On approximately what percent of the days was the rainfall more than 15 mm?
Answer: monday aug 13
Step-by-step explanation:
Evaluate this expression for b= 3, and a=2. b-a
Answer: 1
Explanation: In this problem, b - a is equal to 3 - 2 which gives us 1.
Segment AB has a midpoint M. If A is located at (4, 2) and M is located at (7, -3), what are the coordinated of B?
Steve weighs 18 more pounds than Ryan. If their weight totals 144 pounds, how much does Ryan weigh?
Answer:
A) Steve = Ryan +18
B) Steve + Ryan = 144
A) Steve -Ryan = 18 then adding B
B) Steve + Ryan = 162
2 Steve = 162
Steve weighs 81 pounds
Ryan weighs (81 -18) pounds 63 pounds
Step-by-step explanation:
How many total necklaces can Maria own?
Answer:
49
Step-by-step explanation:
She can buy 46 more and she has three, so she can own 49
Answer:
Maria can own 15 necklaces.
Step-by-step explanation:
Sorry if i'm wrong but i hope this helps : )
Steve is cutting out decoration stars for his neighbors Labor day celebration. Steve has to cut out 9 stars in the last 10 minutes. How many stars should Steve expect to cut in one hour?
Answer:
54 Stars
Step-by-step explanation:
Step 1:
60 mins = 1 Hour
Step 1:
10 × 6 = 60
Step 2:
9 × 6 = 54
Answer:
54 Stars
Hope This Helps :)
Answer:
54
In 1min star cutted= 9÷10
So in 1 hr or in60 min star cutted =60×9÷10
=54
PLEASE HELP IM TRYING TO CATCH UP!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
hello guys images not coming
Step-by-step explanation:
please send the image clearly
Will you brainliest!!! Only question 10-14!
Answer:
10. <PTR = 80
11. < PTQ = 45
12. <QTS = 130 - 45 = 85
13. Luis didn't subtract 80 by 40
14. 180
write the prime factorization of the following
(A) 27
(B) 64
(C) 125
Answer:
A) 27 = 3 × 3 × 3
B) 64 = 2 × 2 × 2 × 2 × 2 × 2
C) 125 = 5 × 5× 5
Step-by-step explanation:
Answer:
(A) 27 = 3 by 3 by 3
(B) 64 = 2 by 2 by 2 by 2 by 2 by 2
(C) 125 = 5 by 5 by 5
Step-by-step explanation:
name the part of the circle
Answer:
radius
Step-by-step explanation:
i believe it is radius because in my point of view it looks like the line travels up to the half of the circle.
smith math class has 40 students but students drop out at a rate of two students per week how much students will be in mr.smith class after 7 weeks of school
Given f(x)= 18x + 12, find f(5).
Answer:
102
Step-by-step explanation:
Given f(x) =18x+12
F(5)=18(5)+12
=90+12
=102