The smaller number is 1389. We get this by using the technique of subtracting the bigger from the smaller number and equate it to the difference product.
Given the difference between two numbers is 2811.
The bigger number is 4200.
The smaller number is = ?
let the smaller number be 'x'
as the statement says difference between two numbers = 2811
Subtract the largest number from the smallest number to determine the difference between two integers. This sum is a product, and the difference between the two values is the product.
⇒ bigger number ₋ smaller number = 2811
⇒ 4200 ₋ x = 2811
⇒ ₋ x = 2811 ₋ 4200
⇒ ₋ x = ₋ 1389
cancel the negative sign from both sides.
x = 1389
hence we get the smaller number as 1389.
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What is the constant of proportionality between y and x in the graph?
Answer: 4/3 or 2/1.5
Step-by-step explanation:
The constant of proportionality is also known as the slope. This can be found with change in y over change x.
Since we have a graph with distinct points, we can use rise over run. For this graph, we will count 3 units up from (0, 0) and 4 units right to (4, 3). This becomes 4/3 or 2/1.5. This is the constant of proportionality.
What transformation carries the parallelogram below onto itself?
M(-2,3),
H(-4,-3)
A(4,3)
T(2,-3)
The transformation that carries the parallelogram below onto itself is a rotation by 180 degrees
How to determine the transformation?The coordinates are given as:
M(-2,3),
H(-4,-3)
A(4,3)
T(2,-3)
The rule of rotation by 180 degrees is
(x, y) = (-x, -y)
When the above rule is applied, we have
M(-2,3), = T(2,-3)
H(-4,-3) = A(4,3)
A(4,3) = H(-4,-3)
T(2,-3) = M(-2,3)
Hence, the transformation that carries the parallelogram below onto itself is a rotation by 180 degrees
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How much will a person pay for 8.9 pounds of bananas at a price of $1.31 per pound?
Answer:
$11.66
Step-by-step explanation:
8.9 x 1.31 = 11.659 Round to the nearest penny
11.66
If anyone can help me to solve this!!
A large industrial tank holds a maximum of 11,020 gallons of water. There is a drain on the bottom of the tank that allows 29 gallons per minute to drain out of the tank. Suppose the tank is full when the drain opened. How many gallons of water are left in the tank after one minute? Two minutes? Ten minutes? n minutes?
Volume of water in the tank after one minute is 10,991 gallons
Volume of water in the tank after two minutes is 10,962 gallons
Volume of water in the tank after one minute is 10,730 gallons
How to calculate the Flow rate?The given parameters are;
The volume of water the large industrial tank holds, V = 11,020 gallons
The rate of flow out of the tank through the drain on the bottom; Q = 29 gallons per minute
The initial level of water in the tank if the tank is initially filled is; 11,020 gallons
We want to find out the amount of water in gallons left in the tank after one minute.
The volume, V_out, of water that flows out of the tank after a given time, t, is given as follows;
V_out = Q × t
When t = 1 minute, we have;
V_out = 29 * 1
V_out = 29 gallons
The volume of water left in the tank, V_in tank , is given as follows;
V_in tank = V - V_out
Thus, volume left after one minute is;
V_in tank = 11020 - 29
V_in tank = 10991 Gallons
Similarly, after 2 minutes;
When t = 2 minute, we have;
V_out = 29 * 2
V_out = 58 gallons
The volume of water left in the tank, V_in tank , is given as follows;
V_in tank = V - V_out
Thus, volume left after two minutes is;
V_in tank = 11020 - 58
V_in tank = 10672 Gallons
Similarly, after 10 minutes;
When t = 10 minute, we have;
V_out = 29 * 1 0
V_out = 290 gallons
The volume of water left in the tank, V_in tank , is given as follows;
V_in tank = V - V_out
Thus, volume left after ten minutes is;
V_in tank = 11020 - 290
V_in tank = 10933 Gallons
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Three men went into a second-hand shop to buy a
television.
It was priced in the window at £30.
Each of them handed over £10 to the shop assistant.
As the assistant opened the till, the manager had a quiet
word with him, "that TV is in the sale and is only £25
now, you will have to give them £5 back."
The assistant was very lazy and couldn't be bothered to
count out the right change for each man.
Instead, he took 5 £1 coins out of the till.
He put two of them in his own pocket and gave each
man £1 back.
Here's the problem:
The men have now paid £9 each for the TV.
The assistant has kept £2 for himself.
3 x £9 = £27.
£27 + £2 = £29.
But £30 was handed over in the first place.
WHERE IS THE MISSING £1?
Step-by-step explanation:
The trick here is to realize that this is not a sum of the money that the three people paid originally, as that would need to include the money the clerk has ($25). This is instead a sum of a smaller amount the people could have paid ($9 × 3 people = $27), added with the additional money that the clerk would not have needed had they paid that smaller amount ($27 paid - $25 actual cost = $2). Another way to say this is, the $27 already includes the bellhop's tip. To add the $2 to the $27 would be to double-count it. So, the three guests' cost of the room, including the bellhop's tip, is $27. Each of the 3 guests has $1 in his pocket, totaling $3. When added to the $27 revised cost of the room (including tip to the bellhop), the total is $30.
To obtain a sum that totals to the original $30, every dollar must be accounted for, regardless of its location.
Thus, the sensible sum can be expressed in this manner:
Solve for x.
-4≤16-4x
0 x <-5
Ο x <5
0 x > -5
Ο χ>5
The solution to the given inequality (-4 < 16 - 4x) is x < 5.
Hence, option B) x < 5 is the correct answer.
What is the solution to the given inequality?Given the in equality in the question;
-4 < 16 - 4x
First, rewrite the inequality such that x is on the left side.
-4x + 16 > -4
Subtract 16 from both sides
-4x + 16 - 16 > -4 - 16
-4x > -20
Divide both sides by -4
Note that when dividing both sides of an inequality by a negative value, the inequality sign flips direction.
-4x/-4 < -20/4
x < -20/-4
x < 5
The solution to the given inequality (-4 < 16 - 4x) is x < 5.
Hence, option B) x < 5 is the correct answer.
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Find the value of the x in the triangle shown below. Please help!
Answer:
B x=√28 using Pythagorean theorem
The point (4, 1) is reflected over the line y=-x to create Point B. What are the coordinates of B?
(-1, -4)
(-1,4)
(1, -4)
(1,4)
Answer:
(-1, -4)
Step-by-step explanation:
y = -x is the 45° diagonal through the origin from top left to bottom right.
a reflection across that line brings anything that is in quadrant 1 (x and y are positive) to quadrant 3 (x and y are negative) like this point. and vice versa.
points in quadrant 2 stay in quadrant 2, points in quadrant 4 stay in quadrant 4.
but in every case x and y are exchanged and both signs are flipped like (-1, 2) turns into (-2, 1).
or for our point : (4, 1) turns into (-1, -4)
What number multiplied by 7/9 as a product of one
Answer:
★ How to do :-
Here, we are given with a fraction in which we are asked to find the second number in which we get it's product when multiplied as one. We aren't given with the appropriate first number but it's written in thr form of multiplication. If we multiply those numbers, we'll get the value of the first number. After finding the first number, we shift thr obtained value from LHS to RHS. We should always remember that while shifting the numbers, the sign of the appropriate number changes. So, let's solve!!
\:
➤ Solution :-
{\tt \leadsto 3 \: \bigg( \dfrac{7}{9} \bigg) \times x = 1}⇝3(97)×x=1
First, multiply the numbers on LHS.
{\tt \leadsto \bigg( \dfrac{3}{1} \times \dfrac{7}{9} \bigg) \times x = 1}⇝(13×97)×x=1
First solve the bracket on LHS.
{\tt \leadsto \dfrac{21}{9} \times x = 1}⇝921×x=1
Shift the first fraction from LHS to RHS, changing it's sign.
{\tt \leadsto x = 1 \div \dfrac{21}{9}}⇝x=1÷921
Take the reciprocal of second fraction and multiply both the fractions.
{\tt \leadsto x = \dfrac{1}{1} \times \dfrac{9}{21}}⇝x=11×219
Multiply the fractions now.
{\tt \leadsto x = \dfrac{9}{21}}⇝x=219
\:
{\red{\underline{\boxed{\bf So, \: the \: other \: number \: is \: \dfrac{9}{21}}}}}So,theothernumberis219
\:
Verification :-
{\tt \leadsto 3 \: \bigg( \dfrac{7}{9} \bigg) \times x = 1}⇝3(97)×x=1
Substitute the value of x.
{\tt \leadsto 3 \: \bigg( \dfrac{7}{9} \bigg) \times \dfrac{9}{21} = 1}⇝3(97)×219=1
Multiply the numbers on LHS in the bracket.
{\tt \leadsto \bigg( \dfrac{7 \times 3}{9 \times 1} \bigg) \times \dfrac{9}{21} = 1}⇝(9×17×3)×219=1
Multiply the numerators and denominators.
{\tt \leadsto \dfrac{21}{9} \times \dfrac{9}{21} = 1}⇝921×219=1
Multiply the numbers on LHS.
{\tt \leadsto \dfrac{21 \times 9}{9 \times 21} = 1}⇝9×2121×9=1
Multiply the numerators and denominators.
{\tt \leadsto \dfrac{189}{189} = 1}⇝189189=1
Write the fraction in lowest form on LHS.
{\tt \leadsto 1 = 1}⇝1=1
So,
{\sf \leadsto LHS = RHS}⇝LHS=RHS
\:
Hence verified !!
Line A and Line B are parallel. Line P is a transversal. If the measure of angle 8 is 140°, find the measures of the rest of the angles in the diagram. Then tell what the angle relationship is to angle 8.
The angle measures are;
Angle 7 is 40° = Angles 8 : supplementary
Angle 3 is 40° = Angles 8: supplementary angles
Angle 5 = 140° = Angle 8; corresponding angles
Angle 1 = 140° = Angle 8; corresponding angles
Angle 6 = 40° = Angle 8; supplementary angles
Angle 2 = 140° = Angle 8; corresponding angles
Angle 4 = 140° Angle 8; corresponding angles
How to determine the anglesGiven that angle 8 measures 140 degrees
It is important to note that angles on a straight line equals 180 degrees
Then,
angle 7 + angle 8 = 180°
Substitute the values of angle 8
Angle 7 + 140 = 180
Angle 7 = 180 - 140
Angle 7 = 40°
Thus, If angle 7 is 40° then angle 3 is 40°, corresponding angles
Angle 5 = Angle 8; corresponding angles
Angle 1 = Angle 8; corresponding angles
Angle 6 = Angle 7; corresponding angles
Angle 2 = Angle 8; corresponding angles
Angle 4 = Angle 8; corresponding angles
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Help pleaseee thank you so much
Answer:
It's the nitrogen concentration, since it's the one being decided.
if √64 = a , then a is equal to ____.
32
16
8
irrational
Answer:
8
Step-by-step explanation:
The
[tex] \sqrt{64} [/tex]
is 8. Because when you divide 64 by 8 you get 8 which makes it a perfect square.
if 3 equal 8 what will equal 600
Answer:
if 3 equal 8 , then 600 will be 1600.
Carry out these operations as if they were calculations of experimental results, and express each answer in the correct units and with the correct number of significant figures:
(2 × 103 g + 6.317 g) / (0.063 cm3 − 0.029 cm3) = g/cm3
Answer:
2
Step-by-step explanation:
B3jrnr2j3uiedbwbwbbw3kejr
PLEASE HELP ALGEBRA 2
just do the first 2 or 3
How much will each person get if 5 people share 1/3 a pond of candy
[tex]\stackrel{\textit{lbs of candy}}{\cfrac{1}{3}}\div \stackrel{people}{5}\implies \cfrac{1}{3}\div\cfrac{5}{1}\implies \cfrac{1}{3}\cdot \cfrac{1}{5}\implies \stackrel{\textit{lbs of candy}}{\cfrac{1}{15}}[/tex]
11
Select the decimal that is equivalent to
44
Choose 1 answer:
0.17
0.17
0.25
0.25
None of the above
Answer: None of the above
Step-by-step explanation:
Please solve. NO EXPLAINATION NEEDED. I NEED ANSWER FAST
Answer:
11 and 22
Step-by-step explanation:
We can say that BC=2AC.
Since AB=33, AC=11 and BC=22.
f(x) = 4x³ + 5x² 3x6
g(x) = 4x - 5
Find (f - g)(x).
The value of (f-g)(x) is 4x3+5x2-7x-1.
Real- or complex-valued functions defined on the set Z+ of positive integers are arithmetic functions. They explain arithmetic characteristics of numbers and are frequently applied in number theory. For all real numbers, the four fundamental arithmetic operations in mathematics are: Finding the sum in addition ('+') Subtraction (Difference-finding; "-" Multiplication (Identifying the result; "" Finding the quotient in division (")Mathematical branch known as arithmetic deals with the study and use of numbers, relationships between numbers, and observations on numbers.
f(x)=4x3+5x2-3x-6
g(x)=4x-5
Therefore,
(f-g)(x)=f(x)-g(x)
=(4x3+5x2-3x-6) – (4x-5)
= 4x3+5x2-3x-6-4x+5
=4x3+5x2-(4+3)x-(6-5)
=4x3+5x2-7x-1
Hence, the value of (f-g)(x) is 4x3+5x2-7x-1
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In a salad recipe, the ratio of carrots to broccoli must remain constant. The table below shows some possible combinations of carrots and broccoli.
Salad Ingredients
Carrots
Broccoli
3
9
4
12
6
18
7
21
If only whole vegetables can be used, what is the fewest number of vegetables that can be used to make this salad?
A.1
B.3
C.4
D.12
Answer:
Evaluate the numerical expression. 1/4 - (- 5/8)
Step-by-stepexplanation:
Answer: pretty sure 4
Step-by-step explanation:
took test
yeaswass
The total cost of an annual pass for admission to a national
park plus camping for x days can be modeled by the function
f(x) = 20x + 80. A senior citizen pays $20 less than half of
this price for x days. What is the total cost for a senior citizen to
go camping for three days in the park?
The total cost paid by the senior citizen for 3 days = $50
Function word problemsThe function representing the total cost of the annual pass is:
f(x) = 20x + 80
A senior citizen pays $20 less than half of this price for x days
The total cost paid by the senior citizen = [tex]\frac{f(x)}{2} -20[/tex]
The total cost paid by the senior citizen =[tex]\frac{20x+80}{2} -20[/tex]
Simplify the resulting expression:
The total cost paid by the senior citizen =10x + 40 - 20
The total cost paid by the senior citizen = 10x + 20
x represents the number of days
Substitute x = 3 into the resulting equation
The total cost paid by the senior citizen for 3 days =10(3)+20
The total cost paid by the senior citizen for 3 days = $50
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Solve the following equation. x/9 = 1Then place the correct number in the box provided.
Answer:
9
Step-by-step explanation:
x/9 = 1
Multiply both sides by 9
x = 9
Also, any number over itself is equal to 1.
Knowledge Check
Question 10
The circle graph shows how the annual budget for a company is divided by department. If the amount budgeted for Media and Engineering combined is
$30,000,000, what is the total annual budget?
Answer: 150,000,000
Step-by-step explanation:
Total percentage of editorial + engineering = 20%
Total budget of editorial + engineering = 30,000,000
So, Total budget*20/100 = 30,000,000
Total budget = 5*30,000,000
Total budget = 150,000,000
A jet plane traveling at 400 mph overtakes a propeller plane traveling at 250 mph that had a 2-hour head start. How far from the starting point are the planes?
Answer:
I think they're 800miles from starting point
Step-by-step explanation:
Round 1803.2684 to the nearest thousand
Answer: 2000
Step-by-step explanation:
1803.2684=
1803.2684=2000
Point A is located at (2,-2) on the coordinate plane. Point A is reflected over the Y-
axis to create point A'. Point A' is then reflected over the x-axis to create point A".
What ordered pair describes the location of A"?
Answer: A''=(-2, 2)
Step-by-step explanation:
A' = (2, -(-2)) = (2,2) ==> the y-coordinate is negated when A reflects over the y-axis
A''=(-(2), 2) = (-2, 2). ==> the x-coordinate is negated when A reflects over the x-axis
A''=(-2, 2)
Find the difference.
8518- 2259 =
the correct answer is 6259
If a ball is thrown upward at 96 feet per second from a height of 12 feet, the height of the ball can be modeled by S=12+96t- 16t² feet,
where t is the number of seconds after the ball is thrown. How long after the ball is thrown is the height 152 feet?
It takes seconds for the ball to reach the height 152 feet.
Answer:
2.5 & 3.5
Step-by-step explanation:
152 = 12+96t- 16t²
140+96t- 16t²=0
152 = 12+96t- 16t²
4t²-24t+35=0
(2t-7)(2t-5)=0
t = 2.5 & 3.5
Trevor has a rectangular patch of dirt that has a length of 50 feet and a width of 30 feet. He wants to divide this area into two rectangular gardens as shown.
Write an expression to represent the area of the
garden on the left.
B. Write an expression to represent the area of the
garden on the right.
C. If the area of the garden on the left is greater, what
is the difference of the areas of the two gardens? Simplify your answer
Answer:
sweefe
Step-by-step explanation:
EFEFEEa
