Answer:
[tex] v =\frac{x}{t}[/tex]
Where x represent the distance and t the time if we replace the info given we got:
[tex] v = \frac{200m}{54 s} =3.704 \frac{m}{s}[/tex]
Then the average speed for this case in m/s is 3.704 for the 200 meter race
Step-by-step explanation:
The problem provides for this case the amount of distance travelled by Jessica in a given time. And we know that travels 200m in 54 seconds.
We want to find the average speed and we can use the following formula:
[tex] v =\frac{x}{t}[/tex]
Where x represent the distance and t the time if we replace the info given we got:
[tex] v = \frac{200m}{54 s} =3.704 \frac{m}{s}[/tex]
Then the average speed for this case in m/s is 3.704 for the 200 meter race
Answer:
i think 69
Step-by-step explanation:
A car is traveling at 47 mph. If its tires have a diameter of 27 inches, how fast are the car's tires turning? Express the answer in revolutions per minute. Round to two decimal places
Answer:
3676.44 rad/min
Step-by-step explanation:
It is a problem about the angular speed of the car's wheel.
You can calculate the angular speed by using the following formula, which relates the tangential speed of the wheels (the same as the speed of the car) with the angular speed:
[tex]\omega=\frac{v}{r}[/tex] ( 1 )
v: speed of the car = tangential speed of the wheels = 47mph
r: radius of the wheels = 27/2 in = 13.5 in
you change the units of the speed:
[tex]47mph*\frac{63360in}{1mille}*\frac{1h}{60min}=49632\frac{in}{min}[/tex]
next, you replace the values of v and r in the equation (1):
[tex]\omega=\frac{v}{r}=\frac{49632in/min}{13.5in}=3676.44\frac{rad}{min}[/tex]
Then, the car's tires are turning with an angular speed of 3676.44 rad/min
Johnny has a jar of marbles with the following number of colored marbles in it.
If Johnny randomly pulls out a marble from the jar, what is the is the probability that he will pull out a red marble?
A. 1/4
B.1/5
C.1/3
D.1/6
Give the sum of 1/2 and 8/12 in simplest form
Answer:
7/6
Step-by-step explanation:
sum of 1/2 & 8/12 = 1/2 + 8/12
= 7/6
hope this help you !! ;))))
can you please help me fill this out thanks
Answer:
i believe the perimeter is 36 im sorry if its not correct
Step-by-step explanation:
simple adding
Write an equation for the following:
A number increased by 6 is 22.
Solve your equation (show steps) to find the number.
Answer:
16
Step-by-step explanation:
evaluate the following function is f(x)=3x-2 and g(x)=5x+1 what is -2•f(4)+3•g(1)
Answer:
work is shown and pictured
what is two-thirds of 3 and3/4
Answer:
2.5
Step-by-step explanation:
2/3 *(3+3/4)=2.5
Answer:
[tex]\frac{5}{2}[/tex] or [tex]2\frac{1}{2}[/tex] or 2.5
Step-by-step explanation:
[tex]\frac{2}{3}*3\frac{3}{4}[/tex]
Convert [tex]3\frac{3}{4}[/tex] to an improper fraction. You can do this by multiplying the whole number by the denominator and add the numerator; all of this over the same denominator.
[tex]3\frac{3}{4}=\frac{3*4+3}{4} =\frac{12+3}{4} =\frac{15}{4}[/tex]
Now work it out.
[tex]\frac{2}{3}*\frac{15}{4}=\frac{30}{12}=\frac{15}{6}=\frac{5}{2}[/tex]
In case you need a mixed number as the answer, we can convert from improper fraction to mixed number.
5/2=2
4
----
1
the 2 after the equal sign is the big number, the 1 is the numerator and the 2 before the equal sign in the denominator.
[tex]2\frac{1}{2}[/tex]
Kari estimated the quotient of Negative 12 and one-fifth divided by 4 and two-fifths to be –8. Which best describes her error? Kari multiplied the compatible numbers –12 and 4. Kari found that the quotient of a negative number and a positive number is negative. Kari found that the quotient of a positive number and a negative number is positive. Kari added the compatible numbers –12 and 4.
Answer:
D. Kari added the compatible numbers –12 and 4.
Step-by-step explanation:
Our numbers are [tex]-12\frac{1}{5}[/tex] and [tex]4\frac{2}{5}[/tex]. We want to find Kari's error. Let's look through the answer choices and try them out:
A: "Kari multiplied the compatible numbers –12 and 4"
Well, if we multiply -12 by 4, we get -48, which is very different from -8, so A cannot be right.
B: "Kari found that the quotient of a negative number and a positive number is negative"
This is actually a true statement because whenever we multiply or divide a positive number and a negative number, the result is always negative. So, this isn't an error. B is wrong.
C: "Kari found that the quotient of a positive number and a negative number is positive"
If B is a true statement, C must be false - and that's right: it is false because the quotient of a positive number and a negative number is always negative not positive. Eliminate C.
D: "Kari added the compatible numbers –12 and 4"
What do we get if we add -12 and 4? We get: -12 + 4 = -8, which is exactly the number that Kari got. So instead of dividing, Kari accidentally added and got -8, which is the wrong answer. Thus, D is correct.
Answer:
Last one
Kari added the compatible numbers –12 and 4.
Step-by-step explanation:
-12⅕ ÷ 4⅖
-61/5 ÷ 22/5
-61/5 × 5/22
-61/22
She probably got -8 by adding -12 and 4
Round cake has a diameter of 30 cm . Angela places the cake on a circular cake board with a diameter 5 cm longer than that of the cake . What's the circumference
Answer:
circumference of the cake board = 109.9 cm
Step-by-step explanation:
diameter of cake = 30cm
diameter of cake board = 5cm longer than 30cm = 5 + 30 = 35cm
radius cake board = diameter ÷ 2 = 35 ÷ 2 = 17.5 cm
radius of cake board = 17.5 cm
circumference of a circle = 2 × π × r (where π = 3.14)
circumference of a circle = 2 × 3.14 × 17.5 = 109.9 cm
Therefore the circumference of the cake board = 109.9 cm
Answer:
35pi
Step-by-step explanation:
brainliest maybe?
Of the last 12 contestants on a game show, 9 qualified for the next round.
What is the experimental probability that the next contestant will qualify for the next round?
Answer:
0.75
Step-by-step explanation:
Given:
Of the last 12 contestants on a game show, 9 qualified for the next round.
To find:
The experimental probability that the next contestant will qualify for the next round.
Solution:
Probability refers to the chances of occurrence of some event.
Probability = Number of favourable outcomes/Total number of outcomes
Number of contestants who qualify for the next round = 9
Total number of contestants = 12
So,
The experimental probability that the next contestant will qualify for the next round = [tex]\frac{9}{12}=\frac{3}{4}=0.75[/tex]
what is the fraction, 64/388 simplified?
Answer:
the answer is 16/97
I am thinking of two unique whole numbers
Their sum is 12
The larger number is even
Twice the smaller number less than the larger number equals 6
Answer:
10 and 2
Step-by-step explanation:
10+2=12
10 is even
2*2=4 10-4+6
Hope this helps ! :)
A cylindrical swimming pool has a height of 4 feet and a circumference of about 75.36 feet. What is the area of a vertical cross section through the center of the pool? Use 3.14 for π.
The area of a vertical cross-section through the center of the pool is 24 square feet for a cylindrical swimming pool having height of 4 feet and a circumference of 75.36 feet.
Area is the total space occupied by a 2D figure.
Given the following,
Height of the pool, h= 4 feet
Circumference of pool, C= 75.36 feet
C=2πrh
On substituting the values of h=4 and π=3.14
[tex]75.36=2\times 3.14\times r\times 4\\\\[/tex]
[tex]r=\dfrac{75.36}{2\times 3.14\times 4}\\r=3[/tex]
Thus the given pool is of radius 3 feet.
Vertical cross-sectional area of a cylinder= Area of rectangle
Area of cross-section = Width*Height
Here for a cylindrical pool,
Width of cylindrical pool=2r=2*3
Width of cylindrical pool=6 feet
Height of cylindrical pool= 4 feet
Area of cross section =6*4
Area of cross section= 24 square feet
Thus, the cross-sectional area of a pool is 24 square feet.
Learn more about area, here:
https://brainly.com/question/30106292
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A cylindrical-shaped mug has a diameter of 8 centimeters and a height of 10 centimeters. What is the volume of the mug? Use 3.14 for pi. *
A. 1256 cubic centimeters
B. 502.4 cubic centimeters
C. 2512 cubic centimeters
D. 2009.6 cubic centimeters
Answer:
C. 2512
Step-by-step explanation:
First,you do
3.14 x 10 x 8
25 12 cubic centimeters
By using the formula for the volume of a cylinder, we will see that the volume of the mug is 502.4 cm^3
How to get the volume of the mug?For a cylinder of radius R and height H, the volume is:
V = pi*R^2*H
In this case, we know that H = 10cm, and the diameter is 8cm, then the radius is half of that:
R = 8cm/2 = 4cm
Replacing that in the volume equation we get:
V = 3.14*(4cm)^2*10cm = 502.4 cm^3
So the correct option is B.
If you want to learn more about volume, you can read:
https://brainly.com/question/1972490
in ΔBCD, the measure of ∠D=90°, CB = 89, BD = 80, and DC = 39. What ratio represents the cosine of ∠B?
Answer:
80/89
Step-by-step explanation:
This is the real answer!! No tricks
The ratio to represent the cosine of ∠B is,
⇒ 80 : 89
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
In ΔBCD,
The measure of ∠D=90°, CB = 89, BD = 80, and DC = 39.
Now, We know that;
⇒ cos θ = Base / Hypotenuse
Her, By the given information, we get;
⇒ cos B = Base / Hypotenuse
⇒ cos B = BD / CB
⇒ cos B = 80 / 89
Thus, The ratio to represent the cosine of ∠B is,
⇒ 80 : 89
Learn more about the triangle visit;
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What’s the value of x?
Answer:
19
Step-by-step explanation:
In any triangle, the sum of the measures of the angles is 180 degrees.
(5x + 5) + (x + 16) + (2x + 7) = 180
Combine like terms.
8x + 28 = 180
8x = 152
x = 19
Find the cosecant of angle t (written as a fraction)
Answer:~0.9998
Step-by-step explanation: cos T = side adj. to angle t / the hypotenuse
Cos t = 56/65 ~ 0.998
Calculate:
400 x 3235 =
You must show full working out.
Answer:
1294000
Step-by-step explanation:
There are two ways to do this: The short way and the long way:
What is the slope of the line?
Answer:
It is the change in y for a unit change in x along the line.
can you please help me fill this out thanks
Answer:
30 mm
Step-by-step explanation:
There are 4 sides to this parallelogram. Two of the sides have 3 mm as the length and the other two have 12 mm.
2 (3 mm) + 2 (12 mm)
= 6 mm + 24 mm
= 30 mm
Answer:
30
Step-by-step explanation:
Since the long side that is blank is the same length of 12 and the short side is the same length of 3.
12+12=24
3+3=6
24+6=30
Find the volume of a rectangular prism with base length = 8ft , base width =5 ft, and height =2ft
Answer:
80
Step-by-step explanation:
All you are doing is 8 times 5 times 2 to give you the answer of 80ft.
You start with $1000 and every day you will receive the previous day’s total plus an additional $1000 a day for 30 days. How much money will you have after 30 days?
Answer:
496000$
Step-by-step explanation:
Oblicz objętość graniastosłupa o wymiarach podanych na rysunku
Answer:
In the image attached you can observe that we have three prism, we need to find their volumes. Remember, the volume of any prism is the product between its base-area and its height.
(a)This is a trapezoidal prism, which is defined as
[tex]V_{a}=\frac{(B+b)h_{1} }{2} \times h_{2} \\ V_{a}=\frac{(12+9)4}{2} \times 16\\ V_{a}=42 \times 16 = 672 \ cm^{3}[/tex]
(b)This is a triangular prism, which is defined as
[tex]V_{b}=\frac{1}{2} b \times h_{1} \times h_{2}\\ V_{b}= \frac{1}{2} \times 36 \times 25 \times 53\\ V_{b}=23,850 \ cm^{3}[/tex]
(c)In this prism, 6 decimeters are equivalent to 60 centimeters. It's volume is defined as
[tex]V=\frac{1}{2} \times 48 \times 60 \times 80 = 115, 200 \ cm^{3}[/tex]
Graph x^3 + 3x^2 − x − 3 = 0. What are the solutions to the equation?
x = −3, x = 0, and x = 1
x = −3, x = −1, and x = 0
x = −3, x = −1, and x = 1
x = −1, x = 1, and x = 3
Answer:
x = −1, x = 1, and x = - 3
Step-by-step explanation:
hello :
if : x=1 1^3 + 3×1^2 − 1 − 3 =1+3-1-3 =4-4=0......true
if : x=-1 (-1)^3 + 3×(-1)^2 +1− 3 =-1+3.+1-3.=0...true
if : x=3 (-3)^3 + 3×(-3)^2 + 3 − 3 =-27+27+3-3.=0.....true
Allie. Bentie and Charlie share £46.
The amount Alfie and Bertie get is in the ratio 9:5
The amount Bertie and Charlie get is in the ratio 2:1
How much does Alfie get?
What is the least common denominator of 2/3 and 7/9
Answer:
9
Step-by-step explanation:
2/3 = 2/3 × 3/3 = 6/9
7/9 = 7/9 × 1/1 = 7/9
Which ratio is equivalent to 7:3 =
Answer:
i think 14:6 is correct but im not too sure
Answer:
[tex]\frac{7}{3}=\frac{7n}{3n}[/tex]
n ∈ Z
[tex]\frac{7*(-5)}{3*(-5)}=\frac{7*(-2)}{3*(-2)}=...=\frac{7*8}{3*8}=...=\frac{7*1256}{3*1256}...etc[/tex]
Please help, I’m so desperate for this answer. I’ve been here for two hours and no one wants to help :/ (find x)
Answer
i can't see the image can you post it again.
Step-by-step explanation:
Answer:
29 + 64 =x which is 93 for question 2
Step-by-step explanation:
Good luck I still don't know
i need help can some please answer this 2 2/3+1 1/2
Answer:
25/6 or 4 1/6
Step-by-step explanation:
1) convert these fractions to improper fractions first:
8/3+3/2
make like denominators by multiplying 8/3 by 2 and 3/2 by 3
so 8*2/3*2=16/6
3*3/2*3=9/6
16/6+9/6=25/6
Hope this helps!
Answer: 25/6 or 4.16
Step-by-step explanation: