A dump truck bar 1/3 of a ton of rocks on the 1st beat trip when half of a ton on the 2nd trip and forfeits of a tone on the 3rd trip what was the total way of the rock.
Answer: 1/30
Step-by-step explanation:
Here's the correct question:
A dump truck brought 1⁄3 of a ton of rock on the first trip, 1⁄2 of a ton on the second trip, but on the third trip, had to take back 4⁄5 of a ton. What was the total weight of the rock left at the construction site?
To calculate the the total weight of the rock left at the construction site goes thus:
= 1/3 + 1/2 - 4/5
The lowest common multiple of 3,2 and 5 is 30. Therefore, we'll make the fractions have a common denominator.
= 1/3 + 1/2 - 4/5
= 10/30 + 15/30 - 24/30.
= 1/30
According to an advertisement for Colgate toothpaste, 4 out of 20 Dentist prefer Colgate. There are 150 Dentist in a certain city. Predict how many of them prefer Colgate.
100 Points to the first person who answers! and the Brainliest
Answer:
According to an advertisement for Colgate toothpaste, 4 out of 20 Dentist prefer Colgate. There are 150 Dentist in a certain city.
Let the number of dentists prefer Colgate in the city be x
[tex] \frac{4}{20} = \frac{x}{150} \\ x = \frac{4 \times 150}{20} \\ \boxed{x = 30}[/tex]
30 dentists prefer Colgate.A Stock company was selling at 28$ a share a month later it was selling at 21$ a share what is the percent loss ?
Answer:
25% loss
Step-by-step explanation:
21 is 75% of 28, because 7*3 = 21 and 7*4 = 28
100%-75%=25%
Hope this helps!
Answer:
the answer is 50 %
Step-by-step explanation:
C.P x (100+ (P/L) ) over 100 = S.P
C.P x 50 over 100 = 8500
C.P = 8500 x 100 over 50 = 17000 .Rs.
hope it helps make me the brainliest now !!!!!!!
Javier wants to put in a home theater. The area of the space for the screen is 20 ft. by 16 ft. What is the largest home theater screen he can purchase if the size is determined by the length of the diagonal?
Group of answer choices
15 feet
20 feet
25 feet
30 feet
Answer:
25
Step-by-step explanation:
A school is selling concert tickets. The cost is $4 per adult and $2.50 per student. If the school
sells 45 adult tickets and 32 student tickets, how much will they earn in total?
$115.50
$260
$500.50
$240.50
Answer:
4 x 45=180
32 x 2.5=80
180+80=260
so $260 is the correct answer
Step-by-step explanation:
Need help again lol ...
Answer:
i got you
Step-by-step explanation:
2 is 142
4 is 142
(they are parallel therefore they are the same :))
What is the limit of the function?
Select True or False for each limit statement.
Answer:
false
false
false
...............
The limit of the functions is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input.
What is Differential equation?A differential equation is an equation that contains one or more functions with its derivatives.
The limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input.
The right-hand limit of a function is the value of the function approaches when the variable approaches its limit from the right.
The left-hand limit of a function is the value of the function approaches when the variable approaches its limit from the left.
[tex]\lim_{x \to -\infty} (2x^{3} -2x)=\infty[/tex]
This limit function is false.
[tex]\lim_{x \to -\infty} (2x^{4} +6x^{3}-2x)=-\infty[/tex]
This limit function is false.
[tex]\lim_{x \to \infty} (-9x^{5} -6x^{3}-x)=-\infty[/tex]
This limit function is false because it should be positive.
Hence, the limit of the functions is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input.
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tyler has 4 sandwichs he wants to cut each sandwich into halves how many 1/2 size pieces will he have
tyler has 4 sandwichs he wants to cut each sandwich into halves how many 1/2 size pieces will he have
Solution:[tex]4 \div \frac{1}{2} [/tex]
[tex] = 4 \times \frac{2}{1} [/tex]
[tex] = \frac{8}{1} [/tex]
[tex] = 8[/tex]
Checking:[tex]8 \times \frac{1}{2} [/tex]
[tex] = 4 \times \frac{1}{1} [/tex]
[tex] = \frac{4}{1} [/tex]
[tex] = 4[/tex]
Final Answer:8 pieces
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Set A of six numbers has a standard deviation of 3 and set B of four numbers has a standard deviation of 5. Both sets of numbers have an equal mean. If the two sets of numbers are combined, find the variance.
Given:
[tex]\sigma_A=3[/tex]
[tex]n_A=6[/tex]
[tex]\sigma_B=5[/tex]
[tex]n_B=4[/tex]
[tex]\overline{x}_A=\overline{x}_B[/tex]
To find:
The variance. of combined set.
Solution:
Formula for variance is
[tex]\sigma^2=\dfrac{\sum (x_i-\overline{x})^2}{n}[/tex] ...(i)
Using (i), we get
[tex]\sigma_A^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{n_A}[/tex]
[tex](3)^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}[/tex]
[tex]9=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}[/tex]
[tex]54=\sum (x_i-\overline{x}_A)^2[/tex]
Similarly,
[tex]\sigma_B^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{n_B}[/tex]
[tex](5)^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}[/tex]
[tex]25=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}[/tex]
[tex]100=\sum (x_i-\overline{x}_B)^2[/tex]
Now, after combining both sets, we get
[tex]\sigma^2=\dfrac{\sum (x_i-\overline{x}_A)^2+\sum (x_i-\overline{x}_B)^2}{n_A+n_B}[/tex]
[tex]\sigma^2=\dfrac{54+100}{6+4}[/tex]
[tex]\sigma^2=\dfrac{154}{10}[/tex]
[tex]\sigma^2=15.4[/tex]
Therefore, the variance of combined set is 15.4.
Which of the following statements about AB and AC is true?
Answer:AB is longer than AC
Step-by-step explanation:AP3X
Answer:
c
Step-by-step explanation:
I just did it on A.P.E.X.
some soiled goods are sold for 2 /5 of their original price. what will be the selling price of a pair of trouser originally Costing#850.00
Answer:
$340.
Step-by-step explanation:
Given that some products, such as a pair of trousers in this case, are sold at 2/5 of their value, if the trousers cost $ 850, the following calculation must be performed to determine their sale value:
2/5 = 0.4
850 x 0.4 = X
340 = X
Therefore, selling them at 40% of their value, the trousers' sale value was $ 340.
What number is equal to v1 100?
Х
5
?
Answer:
10
Step-by-step explanation:
[tex] \sqrt{100} = 10[/tex]
Hope it helps you in your learning process.
f(x)=x^3+9x^2+23x + 15
A garrison of 120 people had enough food for 30 days. If 20 people leave the garrison after 10 days, how long do the remaining provisions last?
Answer:
We know that no. of days is inversely propotional to the provision for men.
So for 120 men the provision would last for 30days. (given)
Therefore, the provision for 1 men would sustain for. 120 *30 = 3600 days.
Let after the joining of 5 men (after 5 days) the no of more days the provision would last is x days
A.t.q 120*30 = 120*5+125*x
(120*30) - (120*5)= 125x
120(30-5)=125x
120 * 25 = 125x
120 = 5x
x=120/5
x= 24
so the provision would remain for more 24 days.
What is the verbal expression 21-18
Answer: twenty one decreased by eighteen or the difference of twenty one and eighteen
factorize the following
2mh+3mk-2nh-3nk
Answer:
(2h + 3k) (m - n)
Step-by-step explanation:
factor by pairing: pair and factor the first two terms, then pair and factor the remaining two; there should be one factor which duplicates
m is common factor of 1st pair: m(2h+3k)
n is common factor of 2nd pair: n(2h+3k)
answer is one of the duplicate factors (2h+3k) times terms not contained in parentheses (m+n)
Answer:
[tex](2h+3k)(m-n)[/tex]
Step-by-step explanation:
[tex]2mh+3mk-2nh-3nk[/tex]
Just look at the common terms
[tex]2mh-2nh-3nk+3mk = 2h(m-n)-3k(n-m) = 2h(m-n)+3k(m-n)[/tex]
By grouping we have
[tex]2h(m-n)+3k(m-n) =\boxed{(2h+3k)(m-n)}[/tex]
Kim drives 156 miles from rotherham to london she drives at an average speed of 60 miles per hour she leaves rotherham at 7:30 am does she arrive before 10:00 am?
Given :
Kim drives 156 miles from rother ham to London she drives at an average speed of 60 miles per hour she leaves rother ham at 7:30 am .
To Find :
Can she arrive before 10:00 am.
Solution :
Time taken to cover 156 miles with speed of 60 miles per hour.
[tex]t= \dfrac{Distance}{Time\ taken}\\\\t = \dfrac{156}{60}\ hour\\\\t = 2.6\ hours[/tex]
To arrive before 10:00 am she has only 2.5 left.
But time taken is 2.6 hours which is greater than 2.5 hours.
Therefore, Kim cannot arrive there before 10:00 am.
Answer:
10am
Step-by-step explanation:
The Lopez family is traveling from the beach to their house at a average speed of 65 miles per hour. At noon, they have driven 50 miles. Which equation represents the total distance they have driven, d, in terms of the number of hours since noon, h?
The equation that represents the total distance they have driven, d, in terms of the number of hours since noon, h is:
d = 65h + 50
Which equation represents the total distance that the family has traveled?The equation that represents the total distance that the family traveled must show the initial distance they started with, the velocity at which they are traveling and the time they have covered.
The initial distance that they started with is = 50 miles
The velocity at which they are traveling is 65miles/hr
Therefore the total distance they have driven, d, in terms of the number of hours since noon, h
= 65h + 50
Therefore, the third option is correct.
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Brian bought beverages for his coworkers. On Monday he bought 3 sodas and 4 iced teas for $18. On Tuesday he bought 5 sodas and 2 iced teas for $16.
Answer:
what is the question
Step-by-step explanation:
Answer:
3x+4y=18 and 5x+2y=16
x=the cost of the sodas
y=the cost of the iced teas
then you do
3x+4y=18, and 10x+4y=32 (the equation is still equivalent to 5x+2y=16, you just doubled it)
next,
10x+4y=32
-3x-4y=-18 (once the y's match, make one negative and one positive)
which leaves you with:
7x=14
which means
x=2
Plug the x value back into the equation, for this I chose to plug it back into 3x+4y=18
3(2)+4y=18
6+4y=18
4y=12
y=3
so the final answer is x=2, and y=3
4 + x/7 =2
Solve
a -14. b 10. c 12 d 42
Answer:
-14
Step-by-step explanation:
4 + x/7 =2
x/7= -2
x= -2 * 7
x=
-14
If x= -4 and y= -3 what does 3x - 2y equal
Answer:
-6
Step-by-step explanation:
3(-4) = -12
-2(-3)= 6
-12+6= -6
Answer:
-6
Step-by-step explanation:
If x = -4 and y = -3, the equation should be set up like this: 3(-4) - 2(-3). The rule is if you multiply a 1 positive number by 1 negative number, the answer will be negative.
3(-4) = -12
2(-3) = -6
Then, once you figure out the multiplication, finish up the equation by subtracting.
-12 - (-6) = -6
simplify this expression 4^5/4^3
Answer:
It is 4 squared
Step-by-step explanation:
When dividing exponents it’s almost like subtraction so 4^5/4^3 is 4^2
what is the square root of 3(125/5-8)
square root(3) * ((125 / 5) - 8) =
29.44
that's the final answer.
if possible please give me a brainliest. tnx good day
6785∆4 is a 6-digit number with one of its digit represented by ∆. What can be the value of ∆ if 6785∆4 is divisible by 9 ? pls anwer
Answer: The /\ is 6. The number is 6.
Explanation: 678564 ÷ 9 = 75396
Please help me with number 15. If you could provide work, that would be great.
x[tex]x^{2} -10x+9--->use AC method---->(x-9)(x-1)[/tex] i think
Evaluate the expression for b=5.
4b2
Step-by-step explanation:
When b = 5,
4b² = 4(5)² = 4 * 5 * 5 = 100.
Answer:
100 is the right answer.
Step-by-step explanation:
Given that b=5
4b² = 4(5)² = 4×25 = 100
please hurry! it's 4 a quiz
Answer:
AD∥BC,BD is the transversal line
⟹∠ADB=∠DBC (∵alternate angles)
⟹z=30
Step-by-step explanation:
.Write in standard form. 4h - 6(5+7h)
Answer:
-38h-30
4h+(−6)(5)+(−6)(7h)
=4h+−30+−42h
=(4h+−42h)+(−30)
=−38h+−30
Which equation best represents the line? (4 points)
a
y = 1 over 3.x − 1
b
y = 3x − 1
c
y = −x + 1 over 3.
d
y = 3x + 1
Answer:
The equation of the line is y = 3x - 1 ⇒ b
Step-by-step explanation:
From the given graph
∵ The rule of the slope of the line is m = [tex]\frac{y2-y1}{x2-x1}[/tex]
∵ (x1, y1) and (x2, y2) are two points on the line
∵ The line passes through points (0, -1) and (1, 2)
∴ x1 = 0 and y1 = -1
∴ x2 = 1 and y2 = 2
→ Substitute them in the rule of the slope to find it.
∵ m = [tex]\frac{2--1}{1-0}[/tex] = [tex]\frac{2+1}{1}[/tex] = [tex]\frac{3}{1}[/tex]
∴ m = 3
∵ The line intersects the y-axis at point (0, -1)
∴ The y-intercept = -1
∵ The form of the equation of the line is y = m x + b
∵ b is the y-intercept
∴ b = -1
→ Substitute the values of m and b in the form of the equation
∵ y = 3x + -1
∴ y = 3x - 1
∴ The equation of the line is y = 3x - 1
it says I need to find f(2)