Using proportions, it is found that the mean time between arrivals is of 12 minutes.
This question is solved by proportions, using a rule of three.In one hour(60 minutes), 5 trucks arrive, thus what is the time necessary for 1 truck to arrive?The rule of three is:
5 trucks - 60 minutes
1 truck - x minutes
Applying cross multiplication:
[tex]5x = 60[/tex]
[tex]x = \frac{60}{5}[/tex]
[tex]x = 12[/tex]
The mean time between arrivals is of 12 minutes.
A similar problem is given at https://brainly.com/question/24342347
3. what equation passes through the 2 points
(0, 4) and (9, 10)
Hi :)
Complex fractions is a new subject for me, so I'd appreciate it if you could help me out with an explanation on how to get the answers. Thank you! Also, there are actually 8 questions, but I didn't want to burden you with too many of them, so I'll make a part two ^^
1. 10/8/9 ?/? ÷ ?/? → ?/? ÷ ?/? → ?/? ÷ (simplify) ?/? → ?/?
2. 5 7/5 ?/? ÷ ?/? → ?/? ÷ ?/? → ?/? ÷ (simplify) ?/? → ?/?
3. 2/5/4 ?/? ÷ ?/? → ?/? ÷ ?/? → ?/? ÷ (simplify) ?/? → ?/?
*if you don't understand this or if you don't know the answers, please don't answer, I genuinely need help*
Answer: sorry for the long answer just skip if you dont wanna read it all but the last one was hard for me sorry if wrong
1. STEP
1
:
8
Simplify —
9
Equation at the end of step
1
:
8
10 - —
9
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 9 as the denominator :
10 10 • 9
10 = —— = ——————
1 9
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
10 • 9 - (8) 82
———————————— = ——
9 9
Final result :
82
—— = 9.11111
9
2.Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
x/5-7-(5)=0
Step by step solution :
STEP
1
:
x
Simplify —
5
Equation at the end of step
1
:
x
(— - 7) - 5 = 0
5
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 5 as the denominator :
7 7 • 5
7 = — = —————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x - (7 • 5) x - 35
——————————— = ——————
5 5
Equation at the end of step
2
:
(x - 35)
———————— - 5 = 0
5
STEP
3
:
Rewriting the whole as an Equivalent Fraction :
3.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 5 as the denominator :
5 5 • 5
5 = — = —————
1 5
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
(x-35) - (5 • 5) x - 60
———————————————— = ——————
5 5
Equation at the end of step
3
:
x - 60
—————— = 0
5
STEP
4
:
When a fraction equals zero :
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
x-60
———— • 5 = 0 • 5
5
Now, on the left hand side, the 5 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
x-60 = 0
Solving a Single Variable Equation:
4.2 Solve : x-60 = 0
Add 60 to both sides of the equation :
x = 60
3.Find the Least Common Denominator (LCD) of \frac{2}{5},\frac{3}{4}
5
2
,
4
3
. In other words, find the Least Common Multiple (LCM) of 5,45,4.
LCD = 2020
2 Make the denominators the same as the LCD.
\frac{2\times 4}{5\times 4}+\frac{3\times 5}{4\times 5}
5×4
2×4
+
4×5
3×5
3 Simplify. Denominators are now the same.
\frac{8}{20}+\frac{15}{20}
20
8
+
20
15
4 Join the denominators.
\frac{8+15}{20}
20
8+15
5 Simplify.
\frac{23}{20}
20
23
6 Convert to mixed fraction.
1\frac{3}{20}
1
20
3
can someone help me please
Answer:
[tex] \sqrt[3]{ - 343} = - 7[/tex]
I hope I helped you^_^
Answer:
-7
Step-by-step explanation:
[tex] \sqrt[3]{ - 343} [/tex]
is the same as, let say we have a value a.
[tex]a \times a \times a = - 343[/tex]
We know a negative multipled 3 times is negative so our answer is a negative.
a cube root of 343 is 7 so the cube root of -343 is -7.
[tex] - 7[/tex]
[tex] - 7 \times - 7 \times - 7 = - 343[/tex]
There is a competition at the local movie theater for free movie tickets
Answer:
ok
ok
Step-by-step explanation:
thanks
thank
thanks
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
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 !
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"
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:
mark me brainly have a great day!!!!
round to the nearest hundredth if necessary $4.99 for 13 lb
Answer:2.81
Step-by-step explanation:
.................................................
Answer: …………..
Step-by-step explanation:
……………..
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
which of the expressions are in simplified form
Answer: number 1
Step-by-step explanation:
number 1
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%
What's the slope of this line?
my bad i read it wrong hold up
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:
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
find the missing angle measures.
Y = 63
Z = ?
X = ?
Can someone tell me the answer to this please
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
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.
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
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
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
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.
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'.`
(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
is parallelogram a kite?
Answer:
Kites are a special type of quadrilateral with two distinct pairs of consecutive sides the same length. ... Similarly, every kite is not a parallelogram, because the opposite sides of a kite are not necessarily parallel.
Answer:
No
Step-by-step explanation:
All parallelograms are not a kite.
A kite is a quadrilateral with two disjoint pairs ( no side is in both pairs ) of equal-length, adjacent ( sharing a vertex ) sides. A parallelogram also has two pairs of equal-length sides, however they must be opposite, as opposed to adjacent.
( See the attached image )
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
There are 1,523 students at Eden Elementary School, 1,471 students at Logan Elementary School, and 2,697
students at Thomas Elementary School. About how many students are there at the schools altogether?
3,000 students
4,000 students
5,000 students
6,000 students
Answer:
6000 students
Step-by-step explanation:
Since the added value of the total number of students would be 5691, so if you wound up, it would be around 6,000
Answer:3,000 students
Step-by-step explanation:
Someone pls help me with this I will make you brain
A fisherman’s product is modeled by function f(x), where f(x) is the number of fish caught per outing and x is the number of people fishing on the boat. Choose the ordered pair that represents a possible domain and range of the function
Answer: B
Step-by-step explanation: It was right on my test
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