The mass of a lorry and its load is 2.87t. What is the mass of the load in kg, if the mass of the lorry is 1.225 tonnes?
a) 1.645kg
b) 1645kg
c) 1225kg
d) 0.001645kg
The mass of the load in kilogram is an illustration of subtraction operation
The mass of the load in kilogram is (b) 1645 kg
The complete mass is given as:
[tex]\mathbf{m_t = 2.87\ tonnes}[/tex]
The mass of the lorry is given as:
[tex]\mathbf{m_l = 1.225\ tonnes}[/tex]
The mass of the load is calculated by subtracting the mass of the lorry from the mass of the lorry and its load.
So, we have the following equation:
[tex]\mathbf{m_{load} = m_t - m_l}[/tex]
Substitute known values
[tex]\mathbf{m_{load} = 2.87\ tonnes- 1.225\ tonnes}[/tex]
Subtract
[tex]\mathbf{m_{load} = 1.645\ tonnes}[/tex]
Convert to kilogram
[tex]\mathbf{m_{load} = 1.645 \times 1000kg}[/tex]
Multiply
[tex]\mathbf{m_{load} = 1645 kg}[/tex]
Hence, the mass of the load in kilogram is (b) 1645 kg
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Suppose that y varies directly with x
and y = 5 when x = 6. What is y
dy
when x = 5?
Answer:
2/5
Step-by-step explanation:
4) Shreya's school is selling tickets to a fall musical. On the first day of ticket sales the school sold
13 adult tickets and 9 student tickets for a total of $138. The school took in $163 on the second
day by selling 3 adult tickets and 14 student tickets. Find the price of an adult ticket and the
price of a student ticket. Find the price of and adult ticket and the price of a student ticket?
Answer:
adult: $3student: $11Step-by-step explanation:
Let x and y represent the prices of adult and student tickets, respectively. Then the revenue equations are ...
13x +9y = 138
3x +14y = 163
Solving this using a graphing calculator, we find (x, y) = (3, 11).
The price of an adult ticket is $3; the price of a student ticket is $11.
_____
Algebraic solution
When the numbers are "messy," as they are here, I like to use the "cross-multiplication method" for solution. I find it easier to use the order 1, x, y, rather than the order x, y, 1 as shown in the second attachment. That way, the coefficients are in their original order, with the first coefficient repeated. Note the right-side constant must be subtracted to get the form ax+by+c = 0.
[tex]\begin{array}{cccc}13&9&-138&13\\3&14&-163&3\end{array}[/tex]
Then we have ...
1/(13·14 -3·9) = x/(9·(-163) -14·(-138)) = y/((-138)·3 -(-163)·13)
x = 465/155 = 3 . . . . price of an adult ticket
y = 1705/155 = 11 . . . price of a student ticket
What is the simplified value of the expression below?
3 (8 minus 4) + 2 times 5.5
23
31
47
77
Answer:
23
Step-by-step explanation:
=3 ( 8 - 4 ) + 2 × 5.5
= 3 (4)+ 2× 5.5
= 12 + 11
=23
How do you combine like terms to simplify algebraic expressions?
Answer: To combine like terms, we must first understand what they are. Like terms are, well like. An example will make more sense. See the equation 2 + 4x - 5y * 0.2xy. Here, we have no like terms. Why? Because 2 has no variable while 4x has x. However, 4x and 5y don't have the same variable so they are NOT like either. Do not fall into the 0.2xy trap either because that is not like with 4x or 5y. Now that you (hopefully) understand let us try an example.
5x * 2x - 24 = 16
As you can see, the like terms here are 5x and 2x as well as 4 and 16. Now let us simplify by bringing the like terms together.
5x * 2x = 16 + 24
10x^2 = 40 (Be careful here! since we are multiplying x twice it will become x^2)
x^2 = 40/10
x^2 = 4
x = 2 (or -2)
And there you go! You just simplified using like terms.
Would appreciate brainliest <3
A farmer produces 9 tons of nuts from 10 1/2 acres of land. how many acres of land will she needs to produce 24 tons of nuts?
21 acres
27 acres
28 acres
33 acres
The acres of land she will need to produce 24 tons of nuts is 28 acres.
The farmer produces 9 tons of nuts from 10 1 / 2 acres of land.
The acres of land needed to produce 24 tons of nuts can be calculated below:
9 tons of nuts needs 10 1 / 2(21 / 2) acres of land
24 tons of nuts will need ? acres of land
cross multiply
Acres of land needed = 24 × 21 / 2 / 9
Acres of land needed = 252 / 9
Acres of land needed = 28 acres
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Which equation is equivalent to the equation 6x + 9 = 12?
Step-by-step explanation:
6x + 9 = 12
6x = 12 - 9
6x = 3
x = 3/6 = 1/2
Answer:
1/2
Step-by-step explanation:
6x + 9 = 12
6x = 12 - 9
6x = 3
x = 3/6
x = 1/2
Please please help please please help me please please help please please help me with this question AND SHOW YOUR STEPS PLEASE
9514 1404 393
Answer:
x/45 = 9 m/30x = 13.5 . . . metersStep-by-step explanation:
In similar triangles, corresponding sides are proportional. This lets us write an equation involving x. Sides adjacent are proportional to sides opposite the vertical angle.
x/45 = 9/30
__
Multiplying by 45 gives the solution:
x = 45(9/30) = 13.5 . . . meters
Just put in answer a, b,c, or d
Answer:
D
Step-by-step explanation:
1/2 plus 2/3 also I need explanation
[tex]\cfrac{\stackrel{\downarrow }{1}}{2}+\cfrac{\stackrel{\downarrow }{2}}{3}\implies \cfrac{}{\underset{\textit{using the LCD of}}{6}}\implies \cfrac{(3)(\stackrel{\downarrow }{1})~~ +~~(2)(\stackrel{\downarrow }{2})}{6}\implies \cfrac{3+4}{6}\implies \cfrac{7}{6}[/tex]
A restaurant has an electronic system that randomly selects customers when they pay for their meal to
receive a coupon for their next visit. Each customer has a 10% probability of being selected to receive a
coupon, and one customer being selected or not doesn't affect whether or not another customer will be
selected.
Suppose that 2 customers pay for their meals, one after the other.
What is the probability that NEITHER customer is selected to receive a coupon?
Round your answer to two decimal places.
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Report a problem
Using the binomial distribution, it is found that there is a 0.81 = 81% probability that NEITHER customer is selected to receive a coupon.
For each customer, there are only two possible outcomes, either they receive the coupon, or they do not. The probability of a customer receiving the coupon is independent of any other customer, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
For each customer, 10% probability of receiving a coupon, thus [tex]p = 0.1[/tex].2 customers are selected, thus [tex]n = 2[/tex]The probability that neither receives a coupon is P(X = 0), thus:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{2,0}.(0.1)^{0}.(0.9)^{2} = 0.81[/tex]
0.81 = 81% probability that NEITHER customer is selected to receive a coupon.
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3-(4x-5)+6 what would this be ?
Answer:
the answer is:
−4x+14
Step-by-step explanation:
Simplify the expression.
Answer:
− 4 x + 14
Step-by-step explanation:
ummm sry not rly sure
A kitten weight increases by 12% each week for the first 4 months. The kitten currently weighs 2.6 pounds. Which expression will not
Calculate how much the kitten will weigh in 1 week?
Answer:
Its 4.09
Step-by-step explanation:
Please mark brainliest if correct. :)
Air pressure may be represented as a function of height (in meters) above the
surface of the Earth, as shown below.
-0.000122
e
P(h) = P.
In this function, P. is the air pressure at the surface of the Earth, and his the
height above the surface of the Earth, measured in meters. At what height will
the air pressure equal 50% of the air pressure at the surface of the Earth?
A. 4166.7 m
B. 2148.9 m
C. 5776.2 m
D. 0.59 m
SUBMIT
Answer:
try kopo
Step-by-step explanation:
b po ba 2148.9 ayn po pabrainless po 5x para maging vertouso na ko pls
At the height of 2467.2 meters from the earths surface, the air pressure equals 50% of the air pressure at the surface of the Earth.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is that air pressure may be represented as a function of height (in meters) above the surface of the Earth, as shown below -
P(h) = P[tex]e^{-0.000122h}[/tex]
where {P} is the air pressure at the surface of the Earth, and his the height above the surface of the Earth, measured in meters.
For 50% of the air pressure at the surface of the Earth, we can write -
50P/100 = P[tex]e^{-0.000122h}[/tex]
1P/2 = P[tex]e^{-0.000122h}[/tex]
1/2 = [tex]e^{-0.000122h}[/tex]
- 0.000122h = log(1/2) = - 0.301
h = - 0.301/- 0.000122
h = 2467.2 meters
Therefore, at the height of 2467.2 meters from the earths surface, the air pressure equals 50% of the air pressure at the surface of the Earth.
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The monthly finance charge on a charge account is 1.5% of the unpaid
amount up to $500, and 1% of the unpaid amount over $500. What is the
charge on an unpaid amount of $750?
24
Answer:
hi
Step-by-step explanation:
hi
hi
hi
gm
have a nice day
what does x =
..........
Answer:
x = 134°
Step-by-step explanation:
Using the exterior angle theorem, we can say that x is the sum of the two angles shown. 70 + 64 = 134. This means x = 134.
Contestants A, B, C, and D are in a 10K race. How many different ways can a race with 4 runners be completed? (Assume there is no tie.) In how many ways can A finish first and C finish second? What is the probability that A finishes first and C finishes second? Enter a reduced fraction or decimal.
Using the arrangements formula and the probability concept, it is found that:
The race can be completed in 24 ways.A can finish first and C second in 2 ways.[tex]\frac{1}{12}[/tex] probability that A finishes first and C finishes second.The number of possible arrangements of n elements is given by:
[tex]A_n = n![/tex]
A probability is the number of desired outcomes divided by the number of total outcomes.
In this problem, there are 4 runners, hence, the number of different ways the race can be completed is:
[tex]A_4 = 4! = 24[/tex]
Considering A first and C second, for the third and fourth positions, it is an arrangement of 2 elements, hence:
[tex]A_2 = 2! = 2[/tex]
The probability is:
[tex]p = \frac{2}{24} = \frac{1}{12}[/tex]
[tex]\frac{1}{12}[/tex] probability that A finishes first and C finishes second.
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What’s the sum of c and twice d?
Answer:
The sum of c and twice d is
c + 2d
-TheUnknownScientist 72
Mn = 0 · 1 + 1 · 2 + 2 · 3 + 3 · 4 +……..+ (n - 1) · n
Find an explicit formula for calculating the sum Mn
The explicit formula for calculating the sum is
[tex]S_N=\frac{n(n-1)}{2} \cdot\frac{n(n+1)}{2}[/tex]
The sum of the nth term of a sequence is expressed as;
[tex]S_n=\frac{n}{2}(2a+(n-1)d)[/tex]
a is the first term
d is the common difference
n is the number of terms
For the sequence 0 + 1 + 2 + 3 +...
[tex]S_n=\frac{n}{2}(2(0)+(n-1)1)\\S_n= \frac{n}{2}(n-1)\\S_n= \frac{n(n-1)}{2}[/tex]
Similarly for the sequence:
1 + 2+ 3 + 4+...
[tex]S_n=\frac{n}{2}(2(1)+(n-1)1)\\S_n= \frac{n}{2}(2+n-1)\\S_n= \frac{n(n+1)}{2}[/tex]
Taking the product of the sum to get the explicit formula for calculating the sum
[tex]S_N=\frac{n(n-1)}{2} \cdot\frac{n(n+1)}{2}[/tex]
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You use 4 gallons of water on 30 plants in your garden. At that rate, how much water
will it take to water 45 plants?
gallons
6 gallons
If you have 4 gallons for 30 plants, half of 4 gallons is 2, which will water 15 plants. Add 4 gallons plus 2 gallons, it gives you 6 gallons and 45 plants.
It use 6 gallons of water to water 45 plants.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
WE have been given that;
Let 4 gallons of water ... 30 plants
Let x gallons of water = ? ... 45 plants
The water will it take to water 45 plants, it can be calculate this using the following steps;
4 * 45 = x * 30
180 = 30 * x /30
x = 180 / 30
x = 6 gallons of water
Therefore, We will use 6 gallons of water to water 45 plants.
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Select the correct answer.
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x-11)?
Step-by-step explanation:
f(x) = x
g(x) = f(x - 11)
g(x) = x
g(x) = (x - 11)
g(x) = x - 11
So, g(x) = x - 11
How many milliliters of pure acid must be added to 50 milliliters of a 40% acid solution to obtain a 50% acid solution?
Answer:
2.5 ml
Step-by-step explanation:
10% of the acid would be 2.5 ml so you'd have to add that to add the extra percent
identify the slope (m) in the following equation: y= -2x + 4
Answer:
m=-2
Step-by-step explanation:
The slope equation is y=mx+b.
This means that
y is y
m is -2
x is x
and
b is 4
Divide using synthetic division (3x^2 + 4x - 5) +(x+4)
Answer:
Factor the numerator and denominator and cancel the common factors.
Step-by-step explanation:
3x² + 5x - 1
The running back rushed for 20 yards on his first attempt. If a football field is 100 yards, what percent of the field did his first attempt cover?
Answer:
80%
Step-by-step explanation:
DO
100 divided by .20
Then move the decimal point two spaces to the right
tell which property of equality was used. 5m + 4 = 19 5m + 43= 19-3.
The value of m from the given equation is 3
Given the expression
5m + 4 = 19
Subtract 4 from both sides using the subtraction law of equality.
5m + 4 - 4 = 19 - 4
5m = 19 - 4
5m = 15
Divide both sides by 5 using the Division law of equality
5m/5 = 15/5
m = 3
Hence the value of m from the given equation is 3
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Identify the vertex of the graph. Tell whether it is a minimum or maximum.
A - (1,3); maximum
B - (3,1); maximum
C - (1,3); minimum
D - (3,1); minimum
Brainliest to the one that right
Answer:
the answer is D broski
Step-by-step explanation:
trust me on this one
Answer:
63 1/4
Step-by-step explanation:
can someone do this please I'm begging
Answer:
Only Anna and Donna had correct answers.
Step-by-step explanation:
how high is a stack of 20 bricks?
Answer:
60 inches or 5 feet
Step-by-step explanation:
the average height of a brick would be 3 inches
