The probability that this person does not make use of the facility is 7/130
How to solve for the probability61+68+60 - 25-28-19 + 6
= 123
The total number of person in the sport center is given as 130
We have 130 - 123 = 7
This means that there are a total of 7 persons that do not make use of this facility.
Hence the probability of a person not using the facility is 7/130
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The first side of a triangle is 4m shorter than the second side. The third side 3 times as long as the first side. The perimeter is 24m. Find the length of each side
Answer:
1st side= 4m
2nd side= 8m
3rd side= 12m
Step-by-step explanation:
Let the first, second and third side of the triangle be a, b and c meters respectively.
a= b -4 -----(1)
c= 3a -----(2)
Perimeter of triangle
= a +b +c
= 24
a +b +c= 24 -----(3)
From (1): b= a +4 -----(4)
Subst. (2) and (4) into (3):
a +(a +4) +3a= 24
3a +a +a +4= 24
5a +4= 24
5a= 24 -4
5a= 20
Divide both sides by 5:
a= 20 ÷5
a= 4
Substitute a= 4 into (4):
b= 4 +4
b= 8
Substitute a= 4 into (2):
c= 3(4)
c= 12
Thus, the lengths of the first, second, and third side of the triangle are 4m, 8m and 12m respectively.
3. what equation passes through the 2 points
(0, 4) and (9, 10)
how to solve
-3(m-2)= -9
Answer:
-3m+6=9
Step-by-step explanation:
-3m=3
Divide by -3
m=-1
Answer:
5
Step-by-step explanation:
expand: -3m - -6 = -9
-9 + -6 = -15
-3m = -15
-15 / -3 = 5
m = 5
HELP ASAP ...........
Answer:
A
Step-by-step explanation:
Given
y - 2x - 8 = 0 ( add 2x + 8 to both sides )
y = 2x + 8 → (1)
y² + 8x = 0 → (2)
Substitute y = 2x + 8 into (2)
(2x + 8)² + 8x = 0 ← expand left side using FOIL and simplify
4x² + 32x + 64 + 8x = 0
4x² + 40x + 64 = 0 ( divide through by 4 )
x² + 10x + 16 = 0 ← in standard form
(x + 8)(x + 2) = 0 ← in factored form
x + 8 = 0 ⇒ x = - 8
x + 2 = 0 ⇒ x = - 2
Substitute these values into (1) for corresponding values of y
x = - 8 : y = 2(- 8) + 8 = - 16 + 8 = - 8 ⇒ P (- 8, - 8)
x = - 2 : y = 2(- 2) + 8 = - 4 + 8 = 4 ⇒ Q (- 2, 4 )
Calculate the length of PQ using the distance formula
PQ = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = P (- 8, - 8) and (x₂, y₂ ) = Q (- 2, 4 )
PQ = [tex]\sqrt{(-2-(-8))^2+(4-(-8))^2}[/tex]
= [tex]\sqrt{(-2+8)^2+(4+8)^2}[/tex]
= [tex]\sqrt{6^2+12^2}[/tex]
= [tex]\sqrt{36+144}[/tex]
= [tex]\sqrt{180}[/tex]
= [tex]\sqrt{36(5)}[/tex]
= [tex]\sqrt{36}[/tex] × [tex]\sqrt{5}[/tex]
= 6[tex]\sqrt{5}[/tex] → A
May I please receive help?
Answer:
[tex]\frac{4}{9}[/tex]
[tex]-\frac{9}{4}[/tex]
Step-by-step explanation:
First, solve the equation for y to find the slope of the original line. When you solve for y you get [tex]y=-\frac{9}{4}x+2[/tex]. Since the coefficient of x in slope-intercept form is the slope, -9/4 is the slope of this line.
Perpendicular lines have the opposite slope, so if the slope is a/b then the perpendicular slope is -b/a. Since the slope is -9/4, the perpendicular slope is 4/9.
Parallel lines have the same slope. So, the slope is the exact same, -9/4.
Last oneeeee HELPPP
76y = 19
Divide both sides by 76
y = 19/76
Simplify 19/76 by dividing by the GCF of 19 and 76, which is 19. 76 divided by 19 is 4.
y = 1/4
Hope this helps!! :)
1/4 divided by 8
PLEASE HELP
This is also in fractions my other ones got ban because I wasn’t obvious so here
PLEASE HELP IS NEEDED
Answer:
1/2
Step-by-step explanation:
Answer:
0.03125
Step-by-step explanation:
just put in the calculator (1/4)/8 and your answer should be 0.03125!! hope I helped you!!!! :)
An investment firm invested in two companies last year. They invested \$7000 in Company A and made a profit of 13%. They invested \$13,000 in Company B and made a profit of 18%. Answer the questions below. Do not do any rounding . (a) What was the investment firm's total profit? (b) What was the percent profit for their total investment?
Answer:
a) $3250
b) 31%
Step-by-step explanation:
a) 910 + 2340 = $3250
b) 18 + 13% = 31%
Can y’all help me with this one too
Answer:
8 mm
Step-by-step explanation:
the total length of the rod is 330, it's asking how many individual Rods cut at the length 41 1/4 which in decimal form is 41.25,, 330/41.25 = 8. anytime a question asks you how many of something can be obtained at a length just divide from total !
A composite shape is shown.
6 cm
4 cm
1 cm
2cm
7 cm
To the nearest hundredth, what is the area of the shape? Use 3. 14 as an approximation for 2. Enter the answer in the box.
1cm²
Hold on, our servers are swamped. Wait for your answer to fully load. Step-by-step explanation:
What's the slope of this line?
my bad i read it wrong hold up
which of the expressions are in simplified form
Answer: number 1
Step-by-step explanation:
number 1
Find the value of 5w+1 given that 7w-7=7.
Answer:
lets find the exact value of w
7w - 7 = 7
+7 +7
7w = 14
/7 /7
w = 2
Now let's replace w with 2
5(2) + 1 = 11
3
8)
2 7 .1 .5 .3 .9
3 '8'5'8'4 '10
Prefer it from least to greatest
Answer:
shenf dhd
Step-by-step explanation:
rhrbrutb hnjngb bdjdhdhdgdg jdjdurbervy
PERSON WILL GET 50+ POINTS IF CORRECT
The circumference C of a circle is found with the formula C=2(3.415)r
Answer:
You are correct! :)
Extra tip:
It can also be written like 'C = 2πr' and that works just as well!
Answer:
circumference=2πr formula 2×22/7×r
Ratios, Rates, and Circles Solve each problem. Show your work. Sierra has a pet Burmese python. It has grown too large for its enclosure and needs a new one. The rectangular base of the current enclosure has the length and width shown. Sierra decides to buy a larger enclosure that is a scale copy of the small one. The base of the new enclosure is 48 inches long. What is the perimeter of the new base?
Answer:
144in
Step-by-step explanation:
METHOD 1:
18 - 36
x - 48
36x = 18 * 48
36x = 864
x = 24
ALTERNATIVE METHOD:
18:36 (breadth:length)
1:2
When the length is 48in, the breadth is half the length, hence, the breadth is 24in.
Final Solution:
So, when the base is 48in, the width is 24in.
Since we have the two values
P = 2(l+b)
= 2(48+24)
= 2 * 72
= 144in
Feel free to mark this as brainliest! :D
6 x ( 7 x 3 - 3^2) - 6
help me pleasee
Answer:
I think 66 is correct answer
Answer:
66
Step-by-step explanation:
Thank You! Please thank me. Also I answered your question "what is input/output of TV"
10, 17, 24, 31, 38
First term:
Common difference:
Answer:
7
Step-by-step explanation:
because if you add 10+7 17 17+7=24
find the missing angle measures.
Y = 63
Z = ?
X = ?
Can someone tell me the answer to this please
Each graph shows two polygons ABCD and A'B'C'D'. In each case, describe a sequence of transformations that takes `ABCD` to `A'B'C'D'.`
round to the nearest hundredth if necessary $4.99 for 13 lb
Answer:2.81
Step-by-step explanation:
I NEED HELP ASAP NO LINKS !!!
Which expression represents this word phrase?
five more than the product of x and 6
6x + 5
5(x + 6)
(x + 6) + 5
5x + 6
(a) Using Geometry Vocabulary, describe a sequence of transformations that maps figure A onto figure B.
(b) Write the Transformation Mapping Rule(s) for the sequence you described in part (a).
It rotated 90 degrees to the right and transformed down and to the right
The measures of the angles of a triangle are shown in the figure below. Solve for X.
75°
(7X+14)
49°
Answer:
Answer:x =6
Answer:x =6Step-by-step explanation:
Angle in a triangle is 180
75+ (7x+14) +49 =180
75+ 49+ (7x+14)= 180
124+ (7x+ 14) = 180
124+ 14 +7x= 180
138+7x = 180
7x =180- 138
7x=42
x= 6
The price of a pair of shoes was reduced from $20 to $14
By what percentage was the price of the shoes reduced?
A. 6%
B. 70%
C. 43%
D. 30%
PLEASE HELP AND HURRY
Answer:
6%
Step-by-step explanation:
step by step
$20 to $14
we subtract
20-14
=6
Answer:D.30%
Step-by-step explanation:
Find the measure of an angle whose complement is five times its measure.
The measure of the angle is?
Answer:
The measure of the unknown angle is 15°.
Step-by-step explanation:
Represent this angle by A. Then the complement of A is 90° - A.
"Angle whose complement is five times its measure" would be expressed as
90° - A = 5A
Solve this for A by adding A to both sides:
90° = 6A. Then A = 90°/6, or 15°
a local hamburger shop sold a combined total of 677 hamburgers and cheeseburgers on Friday. There were 73 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Friday?
Answer:604
Step-by-step explanation: its easy
677-73
Love help :)
If
f(x) = 2x + 1
and
g(x) = x - 3
f(g(x)) = 2x + ????
Answer:
f(g(x)) = 2x - 5Step-by-step explanation:
Given:
f(x) = 2x + 1and
g(x) = x - 3Find the composite function f(g(x)), substitute g(x) with its value:
f(g(x)) = f(x - 3) = 2(x - 3) + 1 = 2x - 6 + 1 = 2x - 5Answer:
It is given
4x+3y=24
We can also write it as
3y=24−4x
y=324−4x
Substituting x=0 in the given equation
y=324−4(0)
So we get
y=324
By division
y=8
Substituting x=3 in the given equation
y=324−4(3)
So we get
y=312
BY division
y=4
If Ashley deposits $8000 into an account paying 7% annual interest compounded quarterly, how long until there is $12400 in the account?
If you deposit $8000 into an account paying 7% annual interest compounded quarterly, how long until there is $12400 in the account?
The formula for deducing Compounded Annual Growth rate, CAGR = {( EV / SV)^1 / n} - 1
where:
EV = Investment's ending value
SV = Investment's starting value
n = Number of investment periods (months, years, etc.)
If you rearrange the formula for deducing the time period required.
SV = $8000
EV= $12400
Total appreciation = (EV-SV)*100%/SV = 64.52%.
At CAGR of 7%, the time required for any value to appreciate 64.52% is 6 years and 6 months
Step-by-step explanation:
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