Answer:
Firstly, we would have to find out how much is 25% of 32.
So we do this:
32 x 0.25 = 8
Now that we know that 8 is 25 % of 32
We simply add 8 to 32
and get the final answer which is 40
A Lorry travels for 4 hours at a speed of 58km/h . Work out the travel distance
Answer: The answer is 9.00988 mi/h
Step-by-step explanation: to be simplified it would be 9.0 or 9 miles an hour
Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.
There are two mystery numbers. The sum of 10 times the first number and 5 times the second number is -15. The sum of 6 times the first number and 2 times the second number is -10. What are the two numbers? please explain
Answer:
-2 and 1
Step-by-step explanation:
The two "mystery numbers" are described by two relations. We can assign variables to those numbers, and write a system of equations that express the given relations.
__
Let x and y represent the first and second mystery numbers, respectively. The first relation tells us ...
10x +5y = -15
The second relation tells us ...
6x +2y = -10
We can reduce both of these equations to lowest terms by factoring out the common factor of 5 from the first one and 2 from the second one:
2x +y = -33x +y = -5__
We are told to solve this using elimination. We can eliminate the y-variable by subtracting the first equation from the second:
(3x +y) -(2x +y) = (-5) -(-3)
x = -2 . . . . . . . . . . simplify
2(-2) +y = -3 . . . . substitute for y
y = 1 . . . . . . . . . . add 4
The two numbers are -2 and 1.
Jessica has 573 stickers in her collection. How many sets of 10 stickers does jessica have in her collection?
Answer:
57 3/10 or 57.3 sets
Step-by-step explanation:
573 stickers divided by 10 sets
Answer:
57 sets of 10 stickers
Step-by-step explanation:
573/10 = 57.3
so, 57 sets of 10 stickers.
Hope this helped! Have a nice day!
Please give Brainliest when possible!
- King Jaron
in the figure triangle XYZ is similar to triangle XTU if XT measures 12cm what is the length of TY
Answer:
20
Step-by-step explanation:
It is stated that the triangles in the figure are similar:
We can use the side lengths' proportions to find the length of TY
UT/ZY = XT/TY
(9.6)/16 = 12/TY cross multiply expressions:
192 = (9.6)TY divide both sides by 9.6
20 = TY
Which of the states in the table below has the least area?
State Population in 2020 Population Density (people/mi?) Indiana 6,785,528 186.32 Mississippi 2,961,279 61.14 Iowa 3,190,369 56.69 Arizona 7,151,502 62.74
Indiana
Mississippi
Iowa
Arizona
According to the information in the table, it can be inferred that the state with the least area is Mississippi, with an area of 61.14 square miles.
How to read the table?The table shows the population density of some states in which the number of people and the area of that state are mentioned.
Based on this information, it can be inferred that the state with the fewest number of miles is the one with the smallest area. So Mississippi is the one with the least area.
On the other hand, the one with the largest area would be Indiana which is 186.32 square miles in area.
Learn more about area in: https://brainly.com/question/11952845
help it is for calculus
Answer:
I think 2(x^2−y^2)=3x
Answer:
Its 2(x^2-y^2)=3x
Solve the equation and show your work.
A . 17x + 12 = 54 - 4x
B . 5x - 10 + 2x = 6(x + 1) - x
Answer:
A. x= 2
B. x= 8
Step-by-step explanation:
Solving an equation refers to finding the value of the variable in the equation.
A. 17x +12= 54 -4x
Bring all x terms to one side, constant to the other:
17x +4x= 54 -12
21x= 42
x= 42 ÷21
x= 2
B. 5x -10 +2x= 6(x +1) -x
7x -10= 6x +6 -x
7x -10= 5x +6
Bring all x terms to one side, constant to the other:
7x -5x= 10 +6
2x= 16
Divide both sides by 2:
x= 16 ÷2
x= 8
Hey ! there
Answer:
Value of x in equation A is 2 .Value of x in equation B is 8 .Step-by-step explanation:
In this question we are provided with two equations that are 17x + 12 = 54 - 4x and 5x - 10 + 2x = 6(x + 1) - x . And we are asked to solve the equation that means we have to find the value of x for both the equations .
Solution : -
A)[tex] \longmapsto \qquad \: 17x + 12 = 54 - 4x[/tex]
Step 1 : Subtracting 12 on both sides :
[tex] \longmapsto \qquad \: 17x + \cancel{ 12} - \cancel{12} = \bold{54} - 4x - \bold{ 12}[/tex]
Simplifying it ,
[tex] \longmapsto \qquad \: 17x = 42 - 4x[/tex]
Step 2 : Adding 4x on both sides :
[tex] \longmapsto \qquad \: 17x + 4x = 42 - \cancel{4x} + \cancel{4x}[/tex]
On further calculations, we get :
[tex] \longmapsto \qquad \: 21x = 42[/tex]
Step 3 : Dividing with 21 on both sides :
[tex] \longmapsto \qquad \: \dfrac{ \cancel{21}x}{ \cancel{21} } = \cancel{ \dfrac{42}{21} }[/tex]
We get :
[tex] \longmapsto \qquad \: \red{\underline{\boxed{ \frak{x = 2}}}} \quad \bigstar[/tex]
Henceforth , value of x is 2 .Verifying : -
Now , we are verifying our answer by substituting value of x as 2 in the given equation . So ,
17x + 12 = 54 - 4x 17 ( 2 ) + 12 = 54 - 4 ( 2 )34 + 12 = 54 - 846 = 46L.H.S = R.HSHence , Verified .Therefore , our solution is correct .
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B)[tex] \longmapsto \qquad \: 5x - 10 + 2x = 6(x + 1) - x[/tex]
Step 1 : Adding like terms on left side :
[tex] \longmapsto \qquad \: 7x - 10 = 6(x + 1) - x[/tex]
Step 2 : Solving parenthesis on right side by using distributive property . ( Multiplying 6 with x and 1 both ) :
[tex] \longmapsto \qquad \: 7x - 10 = \bold{6x} + 6 - \bold{x}[/tex]
Step 3 : Solving like terms on right side :
[tex] \longmapsto \qquad \: 7x - 10 = 5x + 6[/tex]
Step 4 : Adding 10 on both sides :
[tex] \longmapsto \qquad \: 7x - \cancel{10} + \cancel{ 10} = 5x + 6 + 10[/tex]
Simplifying it ,
[tex] \longmapsto \qquad \: 7x = 5x + 16[/tex]
Step 5 : Subtracting 5x on both sides :
[tex] \longmapsto \qquad \: 7x - 5x = \cancel{5x }+ 16 - \cancel{5x}[/tex]
On further calculations , we get :
[tex] \longmapsto \qquad \: 2x = 16[/tex]
Step 6 : Dividing with 2 on both sides :
[tex] \longmapsto \qquad \: \dfrac{ \cancel{2}x}{ \cancel{2}} = \cancel{\dfrac{16}{2} }[/tex]
We get :
[tex] \longmapsto \qquad \: \red{\underline{\boxed{ \frak{x = 8}}} } \quad \bigstar[/tex]
Henceforth , value of x is 8 .Verifying : -
Now , we are verifying our answer by substituting value of x as 8 in the given equation . So ,
5x - 10 + 2x = 6(x + 1) - x5 ( 8 ) - 10 + 2( 8 ) = 6 ( 8 + 1 ) - 840 ( - 10 ) + 16 = 6 ( 9 ) - 856 - 10 = 54 - 846 = 46L.H.S = R.H.SHence , Verified .Therefore , our solution is correct.
#Keep LearningGiven the objective Function: Revenue = 75x+85y and the critical points: (0,0) (180,120) (300,0)
Answer
(180,120)
Cannot be determined
Step-by-step explanation:
Fax
The critical point with the maximum revenue is at (180,120)
How to determine the critical point with the maximum revenue?The objective function is given as:
Revenue = 75x+85y
The critical points are (0,0) (180,120) (300,0)
Substitute these points in the objective function.
Revenue = 75(0)+ 85(0) = 0
Revenue = 75(180)+ 85(120) = 23700
Revenue = 75(300)+ 85(0) = 22500
The maximum revenue is 23700.
Hence, the maximum revenue is at point (180,120)
Read more about objective function at:
https://brainly.com/question/16826001
Show all steps when completing the square to solve 2x^{2} - 4x - 5 = 25.
Answer:
x = 5,-3
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Answer:
See attachments
Step-by-step explanation:
Hope this helps! (I hope you can open them)
what is the sum of 1 To 101 only positive integers pease fast
Answer:
5050
Step-by-step explanation:
sum of first n natural num. = [n(n+1)]/2
sum of first 100 natural num. = (100x101)/2 = 5050
Answer : The sum of 1 to 101 positive integer is 5050
5052 will be sum of 1 to 101 only positive integer
. It took Erin the same time to drive 21 miles as it took Brent to drive 15 miles. Erin's speed was 10 mph
faster than Brent's speed. How fast did Erin drive?
The speed at which Erin drove from the given parameters was calculated as; 35 mph
How to work with speed rates?
Let Erin's speed rate be X. Now, since it took erin 21 miles, then;
Erin's time = 21/X
Now, erin's speed was 10 mph faster than Brent's speed. Thus;
Brent's speed = (X - 10) mph
Thus, Brents time = 15/(x - 10)
Now, since they took the same time, then we know that;
21/x = 15/(x - 10)
15x = 21x - 210
6x = 210
x = 210/6
x = 35
Thus, Erins speed = 35 mph
Read more about rates at; https://brainly.com/question/12242745
Which sentence is correct?A.B.C.D.
Answer: B is correct
Step-by-step explanation:
if you do 2 ÷ 5 you get 0.4. But that isn't an option. So, the only other possibility would be -2 ÷ 5 which gives us -0.4, and that makes sense.
I'm not the greatest at explaining this one but hopefully, this helps!
A cone-shaped container has a height of 240 in. and a radius of 150 in. The cone is filled with a liquid chemical. The chemical evaporates at a rate of 12,000 in³ per week.
How many weeks will it take for all of the chemical to evaporate?
Use 3.14 to approximate pi.
Enter your answer in the box.
____ weeks
How do i solve this?
What is the average rate of change?
A. 4
B. 2/5
C. 1
D. 2
Answer:
C) 1
Step-by-step explanation:
The average rate of change remains constant among the 3 given points as [tex]\frac{5-4}{2-1}=1[/tex] and [tex]\frac{10-5}{7-2}=1[/tex], so your answer is C
Pls someone do this its on test
Answer:
they get a 7/24th piece of cake.
Step-by-step explanation:
if we divide 3 1/2 by 12 we get 7/24
we use the 3 1/2 because that is how many cakes there are.
we use 12 because there are 12 boys that want to split the cake equally.
If the two acute angles of a right triangle are congruent, then what is the measure of each acute angle?
The table shows the atomic radii of four elements.
Element Atomic Radii (m)
Potassium 2.2 × 10-7
Argon 7.1 × 10-8
Boron 8.5 × 10-8
Silver 1.6 × 10-7
Which list shows the atomic radii of the elements ordered from greatest to least?
[tex]\sf Potassium \ : \ 2.2 * 10^{-7}[/tex]
[tex]\sf Argon \ : \ 7.1 * 10^{-8}[/tex]
[tex]\sf Boron \ : \ 8.5 * 10^{-8}[/tex]
[tex]\sf Silver \ : \ 1.6 * 10^{-7}[/tex]
greatest to least :
Potassium < Silver < Boron < ArgonThe order is
Potassium>Silver>Boron>ArgonShortcut trick :-
The nature of atomic radii in. periodic table
Decrease in a period from left to right.Increase in a group from up to downSolve the following system by graphing. 5x+2y=10 4x−y=−18
Answer:
x = -2, y = 10
Step-by-step explanation:
Yo I need to bring up my math grade bad so
y>1/3x
(please show it graphed already :D)
Answer:
Graph Passing through origin with Gradient ⅓
Step-by-step Solution:
1. Aquire x and y Intercepts by substituting 0 to corresponding value.
When x=0,
[tex]y = \frac{1}{3} (0) \\ y = 0[/tex]
When y=0,
[tex]0 = \frac{1}{3} x \\ x = 0[/tex]
i.e. passing through Origin
do the same for any other 2 points and connect the dots/coordinates and extend the line
how far away is {-4,-6} away from {5,-6} on a coordinate grid
Answer:
(-4, -6) and (5, -6) are 9 units away from each other on a coordinate grid.
Step-by-step explanation:
Use the distance formula:
[tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]We are given the points (-4, -6) and (5, -6). Substitute these points into the formula:
[tex]d = \sqrt{(5-(-4))^2+(-6-(-6))^2}[/tex] [tex]d=\sqrt{(5+4)^2+(-6+6)^2}[/tex] [tex]d=\sqrt{(9)^2+(0)^2}[/tex] [tex]d=\sqrt{9^2}[/tex] [tex]d=9[/tex]The distance between (-4, -6) and (5, -6) on a coordinate plane is 9 units.
4 Indira makes a wooden box without a lid. All the faces of the box meet at
right angles. Indira plans to paint all surfaces of the box, including the
inside and outside. The interior of the box has length 13 in., width 8 in., and
depth 7 in. Indira can cover up to 1,350 in.? with
5 cup of paint. Will she
need more than 5 cup of paint to cover the box? Explain how you know.
Considering the surface area of the rectangular box, it is found that since it is of 502 in² < 1,350 in², she will not need more than 5 cups of paint.
What is the surface area of a rectangular prism?The surface area of a rectangular prism of length l, width w and depth d is given by:
S = 2(lw + ld + wd).
In this problem, we have that the dimensions, in inches, are given by l = 13, w = 8, d = 7. Hence, the surface area in in² is given by:
S = 2(13 x 8 + 13 x 7 + 8 x 7) = 502 in².
Since the surface area of the box is of 502 in² < 1,350 in², she will not need more than 5 cups of paint.
More can be learned about the surface area of a rectangular prism at https://brainly.com/question/17223528
15. A plane took off and rose at an angle of 8º with the horizontal ground. As the plane flies over a water tower, it has covered a distance from the take off point of 2000 feet. How far apart are the take off point and the water tower?
The required distance between the take-off point and the water tower is 1980.1 feet.
Given that,
A plane took off and rose at an angle of 8º with the horizontal ground. As the plane flies over a water tower, it has covered a distance from the take-off point of 2000 feet.
To determine how far apart are the take-off point and the water tower.
These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.
Here,
Now,
The distance flying over inclination is 2000 feet at an angle of 8° with horizontal.
Now,
Required horizontal distance = 2000 * cos 8°
= 1980.1 feet.
Thus, the required distance between the take-off point and the water tower is 1980.1 feet.
Learn more about trigonometry equations here:
brainly.com/question/22624805
#SPJ2
Help with this question here please
Answer:
that is 4.6 m that the answer
Anna and Jack make lemonade. Anna uses 2 cups of lemon juice with 9 cups
of
water. Jack uses 3 cups of lemon juice with 15 cups of water. Whose lemonade
has a stronger lemon taste?
Answer: Anna
Step-by-step explanation:
First, I will create proportions.
Anna: 2 lemon : 9 water
Jack: 3 lemon : 15 water
Next, I will simplify them.
[tex]\frac{2}{9}[/tex] = Already simplified
[tex]\frac{3}{15}[/tex] = [tex]\frac{1}{5}[/tex]
Now I will give them common denominators and compare. Anna's has a larger lemon to water ratio, so Anna's will have a stronger lemon taste.
[tex]\frac{2}{9}[/tex] * [tex]\frac{5}{5}[/tex] = [tex]\frac{10}{45}[/tex]
[tex]\frac{1}{5}[/tex] * [tex]\frac{9}{9}[/tex] = [tex]\frac{9}{45}[/tex]
solve for the measure of angle JKL in the diagram below? Show your work and explain the steps you used to solve
Question: calculate the measure of angle JKL, i.e. mJKM+mMKL
Answer:
78°
Step-by-step explanation:
angle JKM is a tangent-chord intersection angle and equals half of the intercepted arc KM of 76°. Thus
mJKM = 76/2 = 38°
angle MKL is an inscribed angle and equals half of the intercepted arc ML of 80°, Thus
mMKL = 80/2 = 40°.
Therefore angle JKL = 38°+40° = 78°.
simplify ( 1 - i ) ( 1 - i ) or ( 1 - i ) ^ (2)
Answer:
-2i.
Step-by-step explanation:
( 1 - i ) ( 1 - i )
= 1(1 - i) - i(1 - i)
= 1 - i - i + i^2
Now i^2 = -1 so we have:
1 - 2i - 1
= -2i
What are the volume and the surface area of this storage chest?
Answer:
Surface Area: [tex]18ft^3[/tex]
Volume: [tex]44ft^2[/tex]
Step-by-step explanation:
Volume Formula --> base * height
[tex](4.5 * 2) * 2 = 9*2=18ft^3[/tex]
Surface Area Formula --> 2(width*length + height*length + height*width)
[tex]2((2*4.5) + (2*4.5)+(2*2)) = 2(9+9+4) = 2(22) = 44ft^2[/tex]
Answer:
Volume = 18 ft³
Surface area = 44 ft²
Step-by-step explanation:
Volume
Volume of a cuboid = base length × base width × height
Given:
base length = 4.5 ftbase width = 2 ftheight = 2 ftSubstitute given values into formula:
⇒ Volume = 4.5 × 2 × 2 = 18 ft³
Surface Area
Surface area = 2(base width × height) + 2(base length × height) + 2(base length × base width)
=2(2 × 2) + 2(4.5 × 2) + 2(4.5 × 2)
= 8 + 18 + 18
= 44 ft²
What are the measures of the interior angles of the triangle?
m∠1 =
°
m∠2 =
°
m∠3 =
°
Answer:
Step-by-step explanation:
a and b are parallel lines. So, alternate interior angles are congruent.
∠2 = 64.8°
∠3 = 30.5°
Sum of all angles of triangle = 180
∠1 + ∠2 + ∠3 = 180
∠1 + 64.8 + 30.5 = 180
∠1 + 95.3 = 180
∠1 = 180 - 95.3
∠1 = 84.7°
According to the Current Population Report of the United States census, 32. 3% of males aged 25 or older have earned a bachelor's degree or higher. Suppose that Nancy works for the city of Peoria, AZ. City officials have asked her to estimate the proportion of males aged 25 or older in Peoria who have earned a bachelor's degree or higher. They have requested that her estimate have confidence level of 95% and a margin of error of 2%, or 0. 2. Determine the sample size n needed for the 95% confidence interval to be no more than 0. 2.
Answer:
i did this on study island
Step-by-step explanation: