Answer:
-4
Step-by-step explanation:
(-2)^2=4 because a negative number squared is always positive
-(2)^2=-4
To estimate the average amount of time it takes a professional football player to run a mile, a sample of 20 players yielded an average time of 6.32 minutes. What is the statistic
The average amount of time it takes a professional football player to run a mile is = 18.96 seconds
Calculation of the average time of a footballerThe total number of players that made up the sample data = 20
The average time for the whole players was = 6.32minutes.
If 20 players = 6.32 mins
∴ 1 player = ?
Make the unknown the subject of formula,
? = 1 × 6.32/20
? = 6.32/20
? = 0.316 mins
To converted to seconds multiply by 60,
Therefore, 0.316 × 60 = 18.96 seconds.
Learn more about time conversion here:
https://brainly.com/question/11947673
chris took a spelling quiz last week.she got 12 out of 16 problems correct.what percentage did chris get correct
Answer:
Chris got 75% correct.
Step-by-step explanation:
[tex]\frac{12}{16}[/tex] x 100 = 75
So, the percentage chris got correct is 75%
Answer:
He got 75% correct
Step-by-step explanation:
you can do it like this:
[tex]\frac{12}{16}[/tex] × 100 = 3× 25= 75%
Hope you understood and it helped!!
Which one is it
(1, 100)
(3, 49)
(4, 50)
(2, 74)
Answer:
(1, 100) » First one
(3, 49) » Third one
(4, 50) » Forth one
(2, 74) » Second one
Step-by-step explanation:
[tex]{}[/tex]
Select the correct answer from each drop-down menu. the four vertices of an inscribed quadrilateral divide a circle in the ratio 1 : 2 : 5 : 4. the four angles of the quadrilateral are °, °, °, and °.
The four angles of a quadrilateral are 30°, 60°, 150°, and 120° if the four vertices of an inscribed quadrilateral divide a circle in the ratio 1:2:5:4.
What is quadrilateral?It is defined as the four-sided polygon in geometry having four edges and four corners.
We have the four vertices of an inscribed quadrilateral divide a circle in the ratio:
1:2:5:4
Let the sides of the quadrilateral be x, 2x, 5x, 4x.
We know the sum of all angles of quadrilateral = 360°
x+2x+5x+4x=360
12x = 360
First angle, x = 30°
Seconds angle, 2x = 2×30 ⇒ 60°
Third angle, 5x = 5×30 ⇒ 150°
Fourth angle, 4x = 4×30 ⇒ 120°
Thus, the four angles of a quadrilateral are 30°, 60°, 150°, and 120°
Learn more about the quadrilateral here:
brainly.com/question/6321910
The four angles of a quadrilateral are 30°, 60°, 150°, and 120°
Step-by-step explanation:
the answer need to be rounded to the nearest tenth
Answer:
251.3
Step-by-step explanation:
A=2πrh+2πr2=2·π·4·6+2·π·42≈251.32741
KITE is a kite.
a. Find the length of KI.
b. Find the length of IT.
Round your answers to the nearest hundredth.
Answer:
KI = 4.47
IT = 6.32
Step-by-step explanation:
KI
2²+4² = 4+16 = 20
The square root of 20 is 4.47
IT
2²+6² = 4 + 36 = 40
The square root of 40 is 6.32
Please help me I’m really bad at geometry
Answer:
x+15=180(being co-interior angle)
x=180-15
x=165
d=6cm
h=8cm
volume of a cylinder?
Answer:
226.224 cm^3
Step-by-step explanation:
Formula :
[tex]\pi r ^{2} h[/tex]
Pi = 3.142
[tex]\pi \times 3 ^{2} \times 8[/tex]
[tex] = 226.224cm ^{3} [/tex]
Consider these scenarios.
1. An elephant weighs 1.5 × 104 units.
2. A mouse weighs 2.13 × 10-5 units.
3. A puppy weighs 1.2 × 102 units.
Determine the unit of measurement that best represents each scenario.
1.
2.
3.
1. Pounds
2. Tons
3. Ounces
You guys have a good day :)
Answer:
1.pounds
2.tons
3.ounces
Step-by-step explanation:
just got it right on edge
Annie's squirt gun holds two tanks one tank holds 968 ML and the other tank holds 784 ML how many liters does the squirt gun hold in total
ayo
968ml + 784ml = 1752ml or 1.752Liter
kate has a coin collection. she keeps 7 of the coins in the box, which is only 5% of her entire collection. what is the total number of coins in kate's coin collection?
Answer:
140
Step-by-step explanation:
5 percent is 5% or 5 out of 100
5 / 100 = 7 / x
Cross multiply to get
5x = 700
Divide both sides by 5
x = 140
Dawn is selling her MP3 player for
3
4
of the original price. The original price for the MP3 player was $40. How much is she selling her MP3 player for?
$ 40
to find:the new price she's selling her MP3 player.
solution:3/4 of 40 or (3/4)*40
= $30.
so, she is selling her MP3 player for $30.
Mandy has a total of $2.00 in change in her purse. Complete each set of coins below to show amounts equivalent to $2.00.
4 quarters, 5dimes,
______nickels
10 pennies, ____
dimes, 3 quarters, 5 nickels
2 quarters, 12 dimes, 3 nickels,______
pennies
______quarters, 4 dimes, 6 nickels, 5 pennies
Answer:
10 nickels
9 dimes
5 quarters
Step-by-step explanation:
Answer:
10 nickels, 9 dimes, 15 pennies, 5 quarters
Step-by-step explanation:
I'm a little confused by the question, but, I'll assume that each one is separated by a space.
4 quarters + 5 dims = 1.50. So, there would be 10 nickels.
10 pennies + 3 quarters + 5 nickels = 10+75+25=110. So, 9 dimes
2 quarters + 12 dimes + 3 nickels= 50 + 120 + 15 = 15. So, 15 pennies
4 dimes + 6 nickels + 5 pennies = 40+30+5=75. So, 5 quarters
8. If the area of Figure A is 216 square yards, find
the area of Figure B.
Step-by-step explanation:
the area is
baseline × height.
remember, 2 lengths are multiplied.
since both figures are similar to each other, it means that both lengths are changed by the same scaling factor.
18 × f = 63
f = 63/18 = 7/2
this factor f applies (as mentioned) to the baseline AND to the height.
therefore, the area changes by f×f = f² = 49/4.
that means the area of the larger figure is
216 × 49/4 = 54 × 49 = 2,646 yd²
Find the equation of the line.
Use exact numbers.
Answer:
y=0.5x-6
Step-by-step explanation:
check out the attached photo
Answer:
y=0.5x-6
Step-by-step explanation:
Write an equation in slope-intercept form that is perpendicular to 4x - 5y = 1 and passes through (-3, 4).
Answer:
y=[tex]\frac{-5}{4}[/tex]x + [tex]\frac{-1}{ 4}[/tex]
Step-by-step explanation:
4x-1=5y
4/5 is the original slope and negative [tex]\frac{5}{4}[/tex] is the perpendicular slope.
Using that to put (-3,4) and the slope into point-slope form:
y-4=[tex]\frac{-5}{4}[/tex](x+3)
distribute and isolate y
y=[tex]\frac{-5}{4}[/tex]x + [tex]\frac{-1}{4}[/tex]
Answer:
y = -5/4x + 1/4
Step-by-step explanation:
*Pependicular line have negative reciprocal slopes*
Rewrite your equation to slope-intercept form: y = mx + b
y = mx + b
m = slopeb = y-intercept (when x = 0)4x - 5y = 1 <== subtract 4x from both sides
-4x -4x
-5y = -4x + 1 <== divide both sides by -5
/-5 /-5
y = 4/5x - 1/5
Find the Negative reciprocal of the line:
Steps:
1. Take your original slope (4/5)
2. Flip it (5/4)
3. Change the sign (-5/4)
The slope of the perpendicular line would be: -5/4 (y = -5/4x + b)
We need to find the y-intercept (b) for the perpendicular line using (-3, 4):
y = -5/4x + b <== substitue -3 for x and 4 for y
4 = -5/4(-3) + b
4 = 15/4 + b <== multiplify both sides by 4
4(4 = 15/4 + b)
16 = 15 + 4b <== subtract 15 from both sides
-15 -15
1 = 4b <== divide both sides by 4
/4 /4
1/4 = b
y = -5/4x + b changes to y = -5/4x + 1/4
Hope this helps!
solve fox x 8 = 3a - 4
1. According to the food label on a box cookies, each box has 16
servings and each serving contains 4 cookies. The weight of the
box of cookies is 1/2
kilograms. What is the weight of each
cookie?
Answer:
Step-by-step explanation:
Formula
Total number of cookies = number servings * number of cookies in serving
Givens
Number of servings = 16
Number of cookies in each serving=4
Total Mass = 0.5 kg
Solution
Total number of cookies = 16*4
Total number of cookies = 64
Total mass of box = # cookies * mass of 1 cookie
Total Mass of box = 0.5
# cookies = 64
0.5 kg = 64 * mass 1 cookie Divide by 64
0.5 / 64 = 64*mass 1 cookie/64 Compute
Answer: mass 1 cookie = 0.0078 kg
This question has 2 problems. I think this is the answer you should type in, but it is a mass, not a weight. Since the cookie is using weight for mass, and uses the units of mass, you have to do the same thing.
The units of the answer is not specified. Since the total mass is given in kg, then the units you use must be the same. However grams would be much more sensible. The answer would then be 7.8 grams.
help me please
find value of x and y
Answer:
Below in bold.
Step-by-step explanation:
The triangle ABC is a right triangle as BCD is a tangent.
So m < y = 90 - 30 = 60 degrees
The angle at the centre O = 2*30 = 60 degrees (angle subtended at centre theorem)
m < x = 180 - 90 - 60 = 30 degrees
Step-by-step explanation:
y = 60
x= 30
these are the answer s
The hypotenuse of a right triangle ensures 17cm and one of its legs measures 13cm
Answer:
sqrt (120)
Step-by-step explanation:
Use pythag theorem
Leg1 ^2 + Leg2^2 = Hypot ^2
13^2 + Leg2^2 = 17^2
Leg2^2 = 17^2 - 13^2
Leg2 = sqrt (120)
How many groups of tens would represent the value of the digit 4 in the number 14752?
A. 4
B. 40
C. 400
D. 4000
show me why
Answer:
C. 400
Step-by-step explanation:
The number 14752 is "Fourteen thousand, seven hundred and fifty two"
The 1 is the place of ten thousands ⇒ 10,000
The 4 is the place of thousands ⇒ 4,000
The 7 is the place of hundreds ⇒ 700
The 5 is the place of tens ⇒ 50
The 2 is the place of units ⇒ 2
So we need to find how many groups of tens are in 4000.
To do this, divide 4000 by 10.
To divide anything by 10, simply move the decimal point one place to the left.
Therefore, there are 400 groups of ten in 4000
as 400 × 10 = 4000
A puppy weighs534pounds.
how many ounces does the puppy weigh?
a.23 oz
b.46 oz
c.92 oz
ds.184 oz
Answer:
none of those answers are correct unless u mean 5 and 3/4
Step-by-step explanation:
Select the correct answer
Choose the number sentence that ilustrates the distributive property of multiplication over
Answer:
b
Step-by-step explanation:
a x (b + c) = (a x b) + (a x c)
Answer:
B is the answer...
2(5+6)
(2×5)+(2×6)
Opposite of 3 less than 10
Answer:
-13
Step-by-step explanation:
Answer:
-13
Step-by-step explanation:
Becuase 13's opposite is -13.
(If you still dont understand you can search up negative and positive number lines up to 20!)
- Select the equivalent expressions. 71-9y and (7x - y) (9) 5 (3t - 6) and 15 - 30 4 (6a +86) and 10a + 126 16 + 72n and (2 + 9n) (8)
Answer:
D. 16 + 72n and (2 + 9n) (8)
Step-by-step explanation:
Select the equivalent expressions.
71 - 9y and (7x - y) (9) 5(3t - 6) and 15 - 30 4(6a +86) and 10a + 126 16 + 72n and (2 + 9n) (8)Distribute to find the equivalent expressions:
A.
71 - 9y and (7x - y) (9)
71 - 9y = 9(7x) + 9(-y)
71 - 9y = 63x - 9y
Not equivalent
B.
5(3t - 6) and 15 - 30
5(3t) + 5(-6) = 15 - 30
15t - 30
Not equivalent (it's missing the variable - t)
C.
4(6a + 86) and 10a + 126
4(6a) + 4(86) = 10a + 126
24a + 344 = 10a + 126
Not equivalent
D.
16 + 72n and (2 + 9n) (8)
16 + 72n = 8(2) + 8(9n)
16 + 32n = 16 + 72n
Equivalent
Therefore the correct answer is D
Hope this helps!
If two lines have the same slope, are they perpendicular?
Yes they would be perpendicular.
Question 9
Which of the following problems would NOT have a solution?
o Eight pizzas are shared equally among four people, and you want to know how
much each person gets.
o Four pizzas are shared equally among three people, and you want to know how
much each person gets.
o Zero pizzas are shared equally among four people, and you want to know how
much each person gets.
o Three pizzas are shared equally among zero people, and you want to know how
much each person gets.
Answer:
(d) Three pizzas are shared equally among zero people, and you want to know how much each person gets.
Step-by-step explanation:
You want to know which pizza sharing problem has no solution for the amount each person gets:
8 pizzas, 4 people4 pizzas, 3 people0 pizzas, 4 people3 pizzas, 0 peoplePizza per personThe amount of pizza each person gets is found by dividing the number of pizzas by the number of people:
8 pizzas/(4 people) = 2 pizzas per person4 pizzas/(3 people) = 4/3 pizza per person0 pizzas/(4 people) = 0 pizzas per person3 pizzas/(0 people) = undefined — no solutionThe problem of dividing 3 pizzas among 0 people has no solution.
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A purple marker costs 1 dollar and 82 cents. Paul pays for it with two $1 bills. He gets 5 coins back in change. What are the 5 coins?
Answer: Those coins are 5 pennies
Step-by-step explanation:
Solve the equation and show your work.
A . 17x + 12 = 54 - 4x
B . 5x - 10 + 2x = 6(x + 1) - x
Answer:
A. x= 2
B. x= 8
Step-by-step explanation:
Solving an equation refers to finding the value of the variable in the equation.
A. 17x +12= 54 -4x
Bring all x terms to one side, constant to the other:
17x +4x= 54 -12
21x= 42
x= 42 ÷21
x= 2
B. 5x -10 +2x= 6(x +1) -x
7x -10= 6x +6 -x
7x -10= 5x +6
Bring all x terms to one side, constant to the other:
7x -5x= 10 +6
2x= 16
Divide both sides by 2:
x= 16 ÷2
x= 8
Hey ! there
Answer:
Value of x in equation A is 2 .Value of x in equation B is 8 .Step-by-step explanation:
In this question we are provided with two equations that are 17x + 12 = 54 - 4x and 5x - 10 + 2x = 6(x + 1) - x . And we are asked to solve the equation that means we have to find the value of x for both the equations .
Solution : -
A)[tex] \longmapsto \qquad \: 17x + 12 = 54 - 4x[/tex]
Step 1 : Subtracting 12 on both sides :
[tex] \longmapsto \qquad \: 17x + \cancel{ 12} - \cancel{12} = \bold{54} - 4x - \bold{ 12}[/tex]
Simplifying it ,
[tex] \longmapsto \qquad \: 17x = 42 - 4x[/tex]
Step 2 : Adding 4x on both sides :
[tex] \longmapsto \qquad \: 17x + 4x = 42 - \cancel{4x} + \cancel{4x}[/tex]
On further calculations, we get :
[tex] \longmapsto \qquad \: 21x = 42[/tex]
Step 3 : Dividing with 21 on both sides :
[tex] \longmapsto \qquad \: \dfrac{ \cancel{21}x}{ \cancel{21} } = \cancel{ \dfrac{42}{21} }[/tex]
We get :
[tex] \longmapsto \qquad \: \red{\underline{\boxed{ \frak{x = 2}}}} \quad \bigstar[/tex]
Henceforth , value of x is 2 .Verifying : -
Now , we are verifying our answer by substituting value of x as 2 in the given equation . So ,
17x + 12 = 54 - 4x 17 ( 2 ) + 12 = 54 - 4 ( 2 )34 + 12 = 54 - 846 = 46L.H.S = R.HSHence , Verified .Therefore , our solution is correct .
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
B)[tex] \longmapsto \qquad \: 5x - 10 + 2x = 6(x + 1) - x[/tex]
Step 1 : Adding like terms on left side :
[tex] \longmapsto \qquad \: 7x - 10 = 6(x + 1) - x[/tex]
Step 2 : Solving parenthesis on right side by using distributive property . ( Multiplying 6 with x and 1 both ) :
[tex] \longmapsto \qquad \: 7x - 10 = \bold{6x} + 6 - \bold{x}[/tex]
Step 3 : Solving like terms on right side :
[tex] \longmapsto \qquad \: 7x - 10 = 5x + 6[/tex]
Step 4 : Adding 10 on both sides :
[tex] \longmapsto \qquad \: 7x - \cancel{10} + \cancel{ 10} = 5x + 6 + 10[/tex]
Simplifying it ,
[tex] \longmapsto \qquad \: 7x = 5x + 16[/tex]
Step 5 : Subtracting 5x on both sides :
[tex] \longmapsto \qquad \: 7x - 5x = \cancel{5x }+ 16 - \cancel{5x}[/tex]
On further calculations , we get :
[tex] \longmapsto \qquad \: 2x = 16[/tex]
Step 6 : Dividing with 2 on both sides :
[tex] \longmapsto \qquad \: \dfrac{ \cancel{2}x}{ \cancel{2}} = \cancel{\dfrac{16}{2} }[/tex]
We get :
[tex] \longmapsto \qquad \: \red{\underline{\boxed{ \frak{x = 8}}} } \quad \bigstar[/tex]
Henceforth , value of x is 8 .Verifying : -
Now , we are verifying our answer by substituting value of x as 8 in the given equation . So ,
5x - 10 + 2x = 6(x + 1) - x5 ( 8 ) - 10 + 2( 8 ) = 6 ( 8 + 1 ) - 840 ( - 10 ) + 16 = 6 ( 9 ) - 856 - 10 = 54 - 846 = 46L.H.S = R.H.SHence , Verified .Therefore , our solution is correct.
#Keep LearningNEED HELP: There are approximately 3.1 miles in 5 kilometers. Thaddeus is supposed to ride his bike for 20 kilometers for a charity ride.
Part A: How many meters are in this ride?
Part B: How many miles are in this ride?