Answer:
21x + 12
Step-by-step explanation:
In math, it is
21x + 2(6).
so we have
21x + 2(6) = 21x + 12.
A company's division registered a loss of (-$12,480) while producing 80 identical parts.
What was the loss per part?
Answer:
loss per part is $(-156).
Step-by-step explanation:
Given total loss = $(-$12,480)
no of identical parts produced = 80
let the loss per part be x
then, total loss for 80 parts = 80* loss per part = 80x
given that total loss = $(-$12,480)
80x = $(-$12,480)
x = $(-$12,480) /80 = $(-156)
Thus, loss per part is $(-156).
Here negative sign implies that it is a loss.
A twelve-sided die with sides labeled through will be rolled once. Each number is equally likely to be rolled. What is the probability of rolling a number greater than ? Write your answer as a fraction in simplest form.
Complete Question:
A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally likely to be rolled, what is the probability of rolling a number greater than 10?
Answer:
[tex]P(T) = \frac{1}{6}[/tex]
Step-by-step explanation:
Given
Number of Sides = 12
Required
Probability of obtaining a side greater than 10
We start by listing out the sample space;
[tex]S = \{1,2,3,4,5,6,7,8,9,10,11,12\}[/tex]
[tex]n(S) = 12[/tex]
Next, we list out digits greater than 10; Represent this with T
[tex]T = \{11,12\}[/tex]
[tex]n(T) = 2[/tex]
Probability of T is calculated as follows;
[tex]P(T) = \frac{n(T)}{n(S)}[/tex]
[tex]P(T) = \frac{2}{12}[/tex]
Divide the numerator and denominator by 2
[tex]P(T) = \frac{1}{6}[/tex]
Hence, the required probability is [tex]\frac{1}{6}[/tex]
If the lines A and B are parallel then find the value of x
Answer:
Step-by-step explanation:
A rice cooker costs $3m. A kettle is $35 cheaper. Find the cost of the kettle.
(Give your answer in terms of m.)
Pls answer
Answer:
2,999,875
Step-by-step explanation:
3,000,000m -35=2,999,875
which ordered pair represent a function
Answer:
The first set of ordered pairs is a function, because no two ordered pairs have the same first coordinates with different second coordinates. The second example is not a function, because it contains the ordered pairs (1,2) and (1,5).
Hope this helps you with your question.
Please answer this quick
Answer:
x = 18
∠A = 83
Step-by-step explanation:
Since you have a line intersecting two parallel lines, the angles formed from the intersection will be equal to 180. This means that you can add up the two angle measures and set them equal to 180.
(6x - 35) + (3x + 53) = 180
6x - 35 + 3x + 53 = 180
9x + 18 = 180
(9x + 18) - 18 = 180 - 18
9x = 162
x = 18
Now to solve for ∠A, plug in the x-value and solve.
∠A = 6x - 35
∠A = 6(18) - 35
∠A = 118 - 35
∠A = 83
(70) Find the volume. Don't forget your label.
Answer: If the lengths are 3 1/2, 2, and 4 2/3, the volume is 32 2/3
Step-by-step explanation:
3 1/2 * 2 * 4 2/3 = 32 2/3.
The Y is the diameter
Find Y
Area of the circle
Answer:
Y = 22.56 cmStep-by-step explanation:
To find the diameter Y of the circle we must first find the radius of the circle
Area of a circle = πr²
where
r is the radius
From the question
Area = 400cm²
Substitute the value into the above formula and solve for the radius
That's
400 = πr²
Divide both sides by π
We have
[tex] {r}^{2} = \frac{400}{\pi} [/tex]
Find the square root of both sides
[tex]r = \sqrt{ \frac{400}{\pi} } [/tex]
radius = 11.28 cm
Since we have the radius we can use it to find the diameter Y using the formula
diameter = radius × 2
radius = 11.28
Y = 11. 28 × 2
We have the final answer as
Y = 22.56 cmHope this helps you
Each side of a square is(7+3x) units. What is the perimeter of the square
Answer:
4(7+3x)
Step-by-step explanation:
We know that a square has all equal sides, otherwise it's not really a square. So if each side of the square is 7+3x units, then the perimeter (which is always side+side+side+side) would be 4 times as great. In other words, since the perimeter is side+side+side+side, and since that multiplication is repeated addition, 4(7+3x) is the same as (7+3x)+(7+3x)+(7+3x)+(7+3x)
PLEASE HELP!!!
Find the measure of c. A. 100 B. 10 C. 140 D. 280
Answer:
C. 140
Step-by-step explanation:
C = 1/2 ( 360° - 80°)
c = 1/2 * 280°
c = 140°
This is my homework and the last question confuses me,it's a simple sequence but I don't understand, could anybody help me out?
Answer:
already in order
Step-by-step explanation:
.00001, .0002, .003, .04, .5
Answer:
1^-5=1 2^-4 =6 3^-3=9 4^-2=8 5^-1=5
Step-by-step explanation:
All u have to do is focus on the negative sign!
8 mph above the speed limit. -8 8+8 8 8-8
Answer:
Below
Step-by-step explanation:
Hey there!
Well, 8 mph over the speed limit is speeding because you can only go 5 above.
If the speed limit is 40 it's okay to go 45 but bot 48.
Hope this helps :)
1
Marty saws off
of a wooden board. Then, he saws off
Alu
of what is left of the board. Finally,
1
he saws
off of this remaining piece of board. What fraction of the original board is left?
Answer:
Fraction of the original board left = [tex]\frac{2}{15}[/tex]
Step-by-step explanation:
Let the length of the board is = l feet
Marty saws off [tex]\frac{1}{5}[/tex] of a wooden board.
Length of the board left = l - [tex](\frac{1}{5})l[/tex]
= [tex](\frac{4}{5})l[/tex] feet
He saws off [tex]\frac{3}{4}th[/tex] of the remaining board,
Board left = [tex](\frac{4}{5})l-[(\frac{4}{5})l\times (\frac{3}{4})][/tex]
= [tex]\frac{4}{5}l-\frac{3}{5}l[/tex]
= [tex]\frac{1}{5}l[/tex] feet
He finally saws off [tex]\frac{1}{3}[/tex]rd of the remaining board.
Board left = [tex]\frac{1}{5}l-[\frac{1}{5}\times \frac{1}{3}]l[/tex]
= [tex](\frac{1}{5}-\frac{1}{15})l[/tex]
= [tex]\frac{2}{15}l[/tex] feet
Fraction of the original board left = [tex]\frac{\frac{2}{15}l}{l}[/tex]
= [tex]\frac{2}{15}[/tex]
If two points are given, then exactly one line can be drawn third of these two points. Which geometry term does the statement represent?
A can takes 20 minutes to cover a distance of
15 km calcolate its speed in km/hr
1 hour = 60 minutes.
20 minutes / 60 minutes = 1/3 of an hour.
20 minutes x 3 = 60 minutes = 1 hour
15 km in 20 minutes x 3 = 45 km per hour
Speed = 45 km/hr.
Answer:
[tex]\huge\boxed{v = 45\ km/hr}[/tex]
Step-by-step explanation:
Given:
Time = t = 20 mins = 20/60 = 0.33 hrs
Distance = S = 15 km
Required:
Speed = v = ?
Formula:
v = S/t
Solution:
v = 15 / 0.33
v = 45 km/hr
-12 divided by 3 times (-8 + (-4) squared -6) +2 please help
Answer:
Step-by-step explanation:
[tex]\frac{-12}{3} (-8+(-4)^{2} -6)+2[/tex]
-4(-8+16-6)+2
-4(2)+2
-8+2
-6
A line segment on the coordinate plane has endpoints (2,4) and 4,y). The midpoint of the
segment is point (3,7). What is the value of y?
11
0-2
5
10
Answer:
10
Step-by-step explanation:
Given:
End points of a line segment are given as:
(2, 4) and (4, y)
Mid point of the line segment is: (3, 7).
To find:
Value of y = ?
Solution:
If end points of a line segment are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then mid point of the line ([tex]x, y[/tex]) is given by The Mid Point Formula:
Mid point formula:
[tex]x = \dfrac{x_1+x_2}{2}\\y = \dfrac{y_1+y_2}{2}[/tex]
Here,
[tex]x_1 = 2\\x_2 = 4\\y_1 = 4\\y_2 = y\\[/tex]
[tex]x =3\\y=7[/tex]
Putting all the value to find [tex]y[/tex]:
[tex]7 = \dfrac{4+y}{2}\\\Rightarrow 4+y=14\\\Rightarrow \bold{y =10}[/tex]
So, the value of [tex]y[/tex] is 10.
What is the square root of 5
Hey There!
Answer:
2.23Step-by-step explanation:
[tex]\sqrt{x} 5[/tex]= 2.23The square root of 5 is 2.23Hope this helps!!
Have a nice day!!:)
[✖‿X]
Answer:
Hey!
The square root of 5 is precisely 2.23606797749979
If you want to round it up...
(1.d.p) -- 2.2
(2.d.p) -- 2.24
(3.d.p) -- 2.236
I HOPE THIS HELPED YOU!
c. The cost price of 12 bananas is equal to the SP of 15 bananas.Find loss or gain percent.
Answer:
20% loss.
Step-by-step explanation:
Suppose the cost of each banana is $1
Then cost of 12 = $12.
You sell 15 bananas for $12, therefore the price of each banana is 12/15
= $0.80.
So the loss percent is (1 - 0.80) * 100
= 20%.
A chord subtends an angle 120° at the centre of the circle of radius 3.5cm. Find the perimeter of the minor sector.[r=22/7]
Answer:
Step-by-step explanation:as we know that arc length is
s=r*∅
as given angle in degree so convert it in radian we get
angle=2.09 rad
r=3.5 cm
hence we get
s=3.5*2.09 =7.315 cm
perimeter of sector = s +d where d=2*r=2*3.5=7 cm
perimeter of sector=7.315+7=14.315 cm
if you like it then hit the stars and tag it a brain-list
Can someone please help me with this question ASAP...
Answer:
A = 1.11
n = - 6
Step-by-step explanation:
[tex] \frac{0,0001\times 1,11}{0,1\times 10^4} = A \times 10^n\\\\
\frac{1\times 1,11}{1\times 10^4} = A \times 10^n\\\\
\frac{1,11}{10^4} = A \times 10^n\\\\
{1,11\times 10^{-4} } = A \times 10^n\\\\
{1.11\times 10^{-6} } = A \times 10^n\\\\[/tex]
Equating like terms on both sides :
A = 1.11
n = - 6
One of the digits of a two digit number is three times the other digit. If you interchange the digits of this two digit number and add the resulting number to the original number you get 88 . Find the original number
Answer:
62
Step-by-step explanation:
well, we start by expressing the number:
a b
we understand that using the above expression, the value of the number is 10a + b
using the information in the question,
a = 3b (1)
and,
11b + 11a = 88 (2) (derived using 10a + b form)
hence, when substituting (1) into (2):
11b + 33b = 88
44b = 88
b = 2 (3)
sub (3) into (1)
a = 6
hence, the number is 62
PLEASE HELP ME :(((((
Umar drove his taxi from Ipoh to Kuala Lumpur via the highway. He stopped at Tapah to
pick up some goods before proceeding to Kuala Lumpur. He drove from Ipoh to Tapah at an
average speed of 100 km/h over a distance of 60 km. If the average speed of his taxi from Ipoh
to Kuala Lumpur is 110 km/h over a distance of 220 km, calculate the average speed of Umar's
taxi from Tapah to Kuala Lumpur.
Answer:
approximately 114.28 km/h
Step-by-step explanation:
Distance = rate * time (d = rt)
The distance from Ipoh to Tapah is 60 km, and the rate is 100 km/h. Therefore, the time it took to drive from Ipoh to Tapah is:
60 = 100t
t = 0.6 hours
The total distance from Ipoh to Kuala Lumpur is 220 km, and the average rate is 110 km.
Therefore, the time it took to drive from Ipoh to Kuala Lumpur is:
220 = 110t
t = 2 hours
So since we know that the time taken to go Ipoh -> Tapah is 0.6 hours and the time taken to go Ipoh -> Tapah -> Kuala Lumpur is 2 hours, the time taken to go Tapah -> Kuala Lumpur must be:
2 - 0.6 = 1.4 hours
And the distance from Tapah to Kuala Lumpur must be:
220 - 60 = 160 km
So the speed driven from Tapah to Kuala Lumpur must be:
160 = r * 1.4
r ≈ 114.28 km/h
Answer:
114.3 km/h
Step-by-step explanation:
We need to find te average speed from Tapah to Kuala Lumpur.
speed = distance/time
We need to find the distance and time from Tapah to Kuala Lumpur.
Ipoh to Tapah:
100 km/h over a distance of 60 km
Ipoh to Kuala Lumpur:
110 km/h over a distance of 220 km
The total distance is from Ipoh to Kuala Lumpur.
speed = distance/time
distance = speed * time
time = distance/speed
time = 220 km / 110 km/h = 2 hours
Ipoh to Tapah.
time = distance/speed
time = 60 km / 100 km/h = 0.6 hour
Distance & time from Tapah to Kuala Lumpur:
220 km - 60 km = 160 km
2 hours - 0.6 hours = 1.4 hours
average speed from Tapah to Kuala Lumpur:
speed = distance/time = 160 km / 1.4 hours
speed = 114.3 km/h
Solve 19 and 25, will give BRAINLIST!!
Answer:
9.333
Step-by-step explanation:
[tex]19. \: cross \: multiplying \\ 6a = 7 \times 8 \\ 6a = 56 \\ \frac{6a}{6} = \frac{56}{6 } \\ a =9.333[/tex]
25. Cross multiplying
nx1 =0.19x12
n=2.28
Answer:
[tex]\Large \boxed{{19. \ a \approx 9.33}} \\ \\ \Large \boxed{25. \ n=2.28}[/tex]
Step-by-step explanation:
(19)
[tex]\displaystyle \frac{6}{8} =\frac{7}{a}[/tex]
Cross multiply.
[tex](6)(a)= (7)(8)[/tex]
[tex]6a=56[/tex]
Divide both sides by 6.
[tex]\displaystyle a = \frac{56}{6}=\frac{28}{3}[/tex]
[tex]a \approx 9.33[/tex]
(25)
[tex]\displaystyle \frac{1}{0.19} =\frac{12}{n}[/tex]
Cross multiply.
[tex](1)(n)=(0.19)(12)[/tex]
[tex]n=2.28[/tex]
10. 5.8 - (0.25 X 1.5)
Just need 3 4 and 5 where 3.852 is thanks
Answer:
HOPE it will be right... Good luck
the two legs of a right triangle are 33 and 56. The missing hypotenuse length is ?
Answer:
65
Step-by-step explanation:
a^2+b^2=c^2
33=a, 56=b
Put them into the equation, then do the algebra and solve it for c.
Answer:
65
Step-by-step explanation:
33²+56²=c²
1089+3136=c²
4225=c²
c=√4225
c=65
How would I solve this question? I need to solve for s.
Answer:
4
Step-by-step explanation:
2r = 5s/2 - s/4 ⇒ bring to common denominator2r = 10s/4 - s/42r = 9s/49s = 8r ⇒ multiply both sides by 4s = 8r/9 ⇒ divide both sides by 9s = 8/9*9/2 ⇒ replace r with 9/2, simplifys = 4 ⇒ answerASAP. please.. need answer. please
sugar is sold at MVR 4 1/2 per kg
find the cost of 10kg sugar.
if you got it correct will mark your answer as brainliest.
please help me.
Answer:
$45.00
Step-by-step explanation:
each kilogram of sugar costs $4.50
we want to find the cost of 10 kg
multiply the cost of 1 kg ($4.50) by 10 kg:
4.50*10=$45.00
The cost of 10 kg is $45.00.
Evaluate the expression for the given value of x. 3.5x − 3.5 for x = 3
Simplify the following expression:
-6x + 4(-x - 3)
Answer:
[tex] - 10x - 12[/tex]
Step-by-step explanation:
[tex] - 6x + 4( - x - 3) \\ - 6x - 4x - 12 \\ - 10x - 12 \\ = - 2(5x + 6)[/tex]