Answer:
there would be 21 girls and 14 boys
Step-by-step explanation:
I split the kids down in half and then added seven to the girls and when added up 21+14=35 and that’s is 7 more girls then boys
Canada has a population of 33 million while Russia has 144 million inhabitants. Indonesia population is 50% greater then that of Russia while it is only 72% of the population of the United States. How many million people must be added to the United States so that the population of that country becomes 10 times of Canada?
Answer: 30 million people must be added.
Step-by-step explanation: 50% of 144 million is 72 million. You add these to find Indonesia’s population. 144 million + 72 million= 216 million. If 216 million is only 72% of the US population, then divide 216 million by 72 to find 1%. 216 million/72=3 million. Multiply this by 100 to find the US population. 3 million times 100= 300 million. Now, multiply Canada’s population by 10. 33 million times 10= 330 million. Finally, subtract 300 million from 330 million to find the amount needed to make the US population 10 times that of Canada’s. 330 million-300 million=30 million. So , you need 30 million people in order to make the US population 10 times that of Canada’s.
A line passes through the point (12,-4) and is perpendicular to the line with the equation y=6x +3
Answer:
y= -(1/6)x -2
Step-by-step explanation:
We know:
y= mx +b is the general equation of the line
Was given:
y= 6x +3, has the slope m=6
Find the equation of the line
y= -(1/6)x + b, perpendicular lines have their slope negative reciprocal m=-1/6
Find the y-intercept that is b
for point (x=12, y= -4) the equation of our line becomes
-4 = -(1/6)(12) + b, multiply a fraction and a number (a/b)*c = ab/c
-4 = -12/6 +b, simplify the fraction
-4 = -2 + b , add 2 to both sides
-4+2 = -2+2 +b , solve for b
-2 = b
The equation of the line that passes through the point (12,-4) and is perpendicular to the line with the equation y=6x +3 is :
y= -(1/6)x -2
Which one of the following graphs is the graph of f(x) = 1∕4x2 + 3?
Answer:
A
f(x) = 1/4 x^2 + 3
Resultado
f(x) = x^2/4 + 3
x^2 + 12 = 4 f(x)
Forma alternativa
f(x) = 1/4 (x^2 + 12)
Raíces complejas
x = -2 i sqrt(3)
x = 2 i sqrt(3)
work out the value of y when x = 4 30 points
Answer:
y = 54/25 when x = 4.
Step-by-step explanation:
y is given by the equation:
[tex]\displaystyle y = p\times q^{x-1}[/tex]
Where p and q are numbers.
We are also given that when x = 1, y = 10 and when x = 6, y = 0.7776.
And we want to determine the value of y when x = 4.
Since y = 10 when x = 1:
[tex]\displaystyle (10) = p\times q^{(1)-1}[/tex]
Simplify:
[tex]10 = p \times q^0[/tex]
Any number (except for zero) to the zeroth power is one. Hence:
[tex]p=10[/tex]
Thus, our equation is now:
[tex]y = 10\times q^{x-1}[/tex]
When x = 6, y = 0.7776. Thus:
[tex](0.7776) = 10\times q^{(6)-1}[/tex]
Simplify and divide both sides by ten:
[tex]\displaystyle 0.07776 = q^5[/tex]
Take the fifth root of both sides:
[tex]\displaystyle q = \sqrt[5]{0.07776}[/tex]
Use a calculator. Hence:
[tex]\displaystyle q = \frac{3}{5} = 0.6[/tex]
Our completed equation is:
[tex]\displaystyle y = 10\times \left(\frac{3}{5}\right)^{x-1}[/tex]
Then when x = 4, y equals:
[tex]\displaystyle \begin{aligned} y &= 10\times \left(\frac{3}{5}\right)^{(4)-1} \\ \\ &= 10\times \left(\frac{3}{5}\right)^3 \\ \\ &= 10\times \left(\frac{27}{125}\right) \\ \\ &= \frac{54}{25}\end{aligned}[/tex]
I need help please ive been stuck on it
Answer:
$3,300
Step-by-step explanation:
The salary given falls in the third range, meaning it should get a 5.5% income tax on the $60,000.
5.5% = 0.055
0.055 * $60,000 = $3,300
Therefore, the state income tax owed on the provided salary is $3,300.
5 people cleared a plot of land in 15 days. How many people would I need to hire to clear three times that plot in 5 days?
I copied the problem
Answer:
Step-by-step explanation:
149 11/16" ÷ 12 = 12.4739583333333333... ft
We subtract off the whole number part and call it 12'
0.4739583333333333 × 12 = 5 11/16 "
149 11/16" = 12' 5 11/46"
120 7/8" ÷ 12 = 10.07291666666
We subtract off the whole number part and call it 10'
0.07291666666 × 12 = 7/8"
120 7/8" = 10' 7/8"
The third one is moot as 0 1/8" equals 0' 1/8"
I suspect your photo framing has cut off some important numbers.
Select the graph of the solution. Click until the correct graph appears.
Answer:
convert the 27 degree into grades
PLEASE HELP! 50 POINTS
Identify the intervals on which the function is increasing, decreasing or constant. Write your answers in interval notation. Write the end behavior for each function in limit notation.
f(x)=-4x^4+3x^3-2x^2+x-9
(Type a 0 before the decimal to hold the ones place for answers that don't have a value in the ones place. Ex. 0.24)
Use inf for infinity
look at the image for the question
Triangle DEF contains right angle E. If angle D measures 40° and its adjacent side measures 7.6 units, what is the measure of side EF? Round your answer to the nearest hundredth.
[tex]\\ \rm\longmapsto cot40=\dfrac{7.6}{EF}[/tex]
[tex]\\ \rm\longmapsto EF=\dfrac{7.6}{cot40}[/tex]
[tex]\\ \rm\longmapsto EF=\dfrac{7.6}{1.19}[/tex]
[tex]\\ \rm\longmapsto EF=6.38units[/tex]
Answer:
[tex]\displaystyle 6,38\:units[/tex]
Step-by-step explanation:
You would set your proportion up like so:
[tex]\displaystyle \frac{7,6}{EF} = cot\:40° \\ \\ 7,6 = EFcot\:40° → 6,3771571969... = \frac{7,6}{cot\:40°} \\ \\ 6,38 ≈ EF[/tex]
I am joyous to assist you at any time.
Each course at college X is worth either 2 or 3 credits. The members of the men's swim team are taking a total of 48 courses that are worth a total of 107 credits. How many 2-credit courses and how many 3-credit courses are being taken?
Answer:
Let the number of courses that are worth 3 credits each be x and those worth 4 credits be y. With the given information, you can write the following equations:
x + y = 48
3x + 4y = 155
You can solve the above equations by method of elimination/substitution
x + y = 48 ⇒ x = 48 - y (Now, substitution this equation into 3x + 4y = 155)
3(48 - y) + 4y = 155
144 -3y + 4y = 155
y + 144 = 155
y = 11
Now plug this solution back into x = 48 - y
x = 48 - 11 = 37
Check work (by plugging the solutions back into the 3x + 4y and see if it's equal to 155):
3(37) + 4(11) = 155
Answer: There are 37 of the 3-credit course and 11 of the 4-credit course
how is sin 30 equals to 1/2 and cos 60 equals to 1/2
Answer:
Step-by-step explanation:
The lengths of the sides of a 30-60-90 triangle are in the ratio 1:√3:2.
Let the length of the side opposite the 30° angle be 1, then the length of the side opposite the 60° angle is √3, and the length of the hypotenuse is 2.
sin(30°) = (leg opposite the 30° angle)/hypotenuse = 1/2
cos(60°) = (leg adjacent to the 60° angle)/hypotenuse = 1/2
(a) A body of mass 2kg is placed on a rough plane inclined at an angle of 30° to the
horizontal. The coefficient of friction between the body and the plane is 0.25. Find the
least force needed to prevent the body from slipping down the plane if this force acts
upwards at an angle of 30° to the line of greatest slope.
Answer:
8.6 N
Step-by-step explanation:
Let T be the unknown force
Let θ be the slope of the inclined plane to horizontal
Let φ be the angle of the force to the plane
Let μ be the coefficient of static friction
Let m be the mass
Let N be the Normal force of plane on mass
Let Ff be the friction force which will have a maximum at μN
Let g be gravity
Forces acting parallel to the plane. Upslope is positive
For minimum force T, friction will be max and acting upslope.
F = ma
Tcosφ - mgsinθ + Ff = m(0)
Tcosφ - mgsinθ + μN = 0
Tcosφ - mgsinθ + μ(mgcosθ - Tsin(θ + φ)) = 0
T(cosφ - μsin(θ + φ)) + μmgcosθ - mgsinθ = 0
T = mg(sinθ - μcosθ) / (cosφ - μsin(θ + φ))
T = 2(9.8)(sin30 - 0.25cos30) / (cos30 - 0.25sin(30 + 30))
T = 8.5547537...
help me out please! everyday !
Answer:
V = 904.32 ft^3
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
The radius is 6 and pi = 3.14
V = 4/3 ( 3.14) (6)^3
V = 904.31999 ft^3
Rounding to the hundredths place
V = 904.32 ft^3
[tex] \large\begin{gathered} {\underline{\boxed{ \rm {\red{Volume \: of \: sphere \: = \: \frac{4}{3} \: \pi \: {r}^{3} }}}}}\end{gathered}[/tex]
r = 6 ft[tex] \bf \large{\purple{ \implies}} \tt \: Volume \: of \: sphere \: = \: \frac{4}{3} \: \times \: 3.14 \: \times \: {6}^{3} \\ [/tex]
[tex]\bf \large{\purple{ \implies}} \tt \: Volume \: of \: sphere \: = \: \frac{4}{3} \: \times \: 3.14 \: \times \:216[/tex]
[tex]\bf \large{\purple{ \implies}} \tt \: Volume \: of \: sphere \: = \: \frac{4}{ \cancel3} \: \times \: 3.14 \: \times \: \cancel{216 \: {ft}^{3} } \: \: \: ^{72 \: {ft}^{3} } [/tex]
[tex]\bf \large{\purple{ \implies}} \tt \: Volume \: of \: sphere \: = \: 4 \: \times \: 3.14 \: \times \: 72 \: {ft}^{3} [/tex]
[tex]\bf \large{\purple{ \implies}} \tt \: Volume \: of \: sphere \: = \: 12.56 \: \times \: 72 \: {ft}^{3} [/tex]
[tex]\bf \large{\purple{ \implies}} \tt \: Volume \: of \: sphere \: = \: 904.32 \: {ft}^{3} [/tex]
The length of a rectangle is 4 units more than its width. The area of the rectangle is 25 more than 4 times the
width. What is the width of the rectangle?
A А 9
B -5
С. 3
D 5
Please select the best answer from the choices provided
Answer:
D
Step-by-step explanation:
let the width = w
w = w
L = 4 + w
Area = 4*w + 25 = L * w
4w + 25 = L * w Substitute for the length
4w + 25 = (w*(w + 4))
4w + 25 = w^2 + 4w Subtract 4w from each side
w^2 = 25 Take the square root.
w = +/- 5
- 5 has no meaning.
w = 5
A hole the size of a photograph is cut from a red piece of paper to use in a picture frame. On a coordinate plane, 2 squares are shown. The photograph has points (negative 3, negative 2), (negative 2, 2), (2, 1), and (1, negative 3). The red paper has points (negative 4, 4), (4, 4), (4, negative 4), and (negative 4, negative 4). What is the area of the piece of red paper after the hole for the photograph has been cut? 17 square units 25 square units 39 square units 47 square units Mark this and return
Answer:
its d 47
Step-by-step explanation:
yep yep
Answer:
D: 47
Step-by-step explanation:
Edge 2022
The average fish at a fishing tournament was 12.4 pounds. Some of the weight last of the fish are shown on the table:
What was the weight of the heaviest fish?
Answer:
15.5kg
Step-by-step explanation:
12.4kg × 5 = 62kg,
= 62kg - (14.6kg + 11.4kg + 10.3kg + 10.2kg)
= 62kg - 46.5kg
= 15.5kg
2. What amount of money must Kurt Blixen invest at 4.75% to have it earn $10,000 in 90 days?
Kurt Blixen must invest $85,2296.94.
Given the following data;
Interest rate = 4.75%Simple interest = $10,000Time = 90 daysTo find how much money Kurt Blixen must invest;
Mathematically, simple interest is given by the formula;
[tex]S.I = \frac{PRT}{100}[/tex]
Where:
S.I is the simple interest.P is the principal amount.R is the interest rate.T is the time measured in years.First of all, we would convert the time in days to years.
Conversion:
365 days = 1 year
90 days = x year
Cross-multiplying, we have;
[tex]365 * x = 90\\\\x = \frac{90}{365}[/tex]
x = 0.247 year
Making P the subject of formula;
[tex]P = \frac{S.I(100)}{RT}[/tex]
Substituting the values into the formula, we have;
[tex]P = \frac{10000(100)}{4.75*0.247}\\\\P = \frac{1000000}{1.1733}[/tex]
P = $85,2296.94
Therefore, Kurt Blixen must invest $85,2296.94.
Find more information here; https://brainly.com/question/9352088
A. y≥13x+6
y<−3x−6
y>x
b. y≥3x+6
y<−13x−6
y>x
C. y≤3x+6
y>−13x−6
y>x
D.y≤13x+6
y>−3x−6
y>x
9514 1404 393
Answer:
D. y≤1/3x+6; y>−3x−6; y>x
Step-by-step explanation:
The shading is below the solid line, so the answer must include the form ...
y ≤ ( )
That solid line has a rise of 1 for each run of 3, so its slope is ...
m = rise/run = 1/3
The only answer choice with y ≤ 1/3x + ( ) is the last one.
y ≤ 1/3x+6y > −3x−6y > xPls help!!
An educator hypothesizes that the median of the number of students enrolled in cyber schools in school districts in southwestern Pennsylvania is 25. At a = 0.05, is there enough evidence to reject the educator’s claim? The data are shown here. What benefit would this information provide to the school board of a local school district? 12 41 26 14 4 38 27 27 9 11 17 11 66 5 14 8 35 16 25 17
Answer:
nbbhhghhhjjjjjjjjjkjjjjnnmmmmmmmmbv b b j
An average school bus holds 45 people. Sketch a graph showing the relationship between the number of students who need
bus transportation and the number of buses required. Be sure to label the axes. Homework Help
Graphs are used to show relationships between related entities. See attachment for the graph that shows the relationship between the number of students and the number of buses.
Given that:
[tex]People = 45\\[/tex]
[tex]Bus = 1[/tex]
The given parameters can be represented as:
[tex](x_1,y_1) = (45,1)[/tex]
Where:
[tex]x \to[/tex] people
[tex]y \to[/tex] bus
When there is nobody (i.e. 0 people), then the number of bus will also be 0. So, we have:
[tex](x_2,y_2) =(0,0)[/tex]
To sketch the graph that represents the given relationship, we simply plot points (0,0) and (45,1) and connect both points
See attachment for the graph
Read more about graphs at:
https://brainly.com/question/1971145
Operations and scientific notation math project need to know how to find the scientific notation
Answer:
how did not orderstan that
Please help on my hw
Answer:
b. The solution is a non empty set.
Step-by-step explanation:
There are no common elements.
The three-dimensional shape that this net represents is a _?
The surface area of the figure is _?
square centimeters.
Answer:
Step-by-step explanation:
It’s a cube with edge length of 12 cm.
The cube has six faces, and the are ma if each face is 144 cm²
Total surface area = 6×144 = 864 cm²
Answer:
cube 864
Step-by-step explanation:
6. If the following fractions were converted to decimals, which one would result in a repeating decimal?
A. 3/7
B. 1/9
C. 3/4
D. 5/11
The difference between two positive integers is 7 and the sum of their squares is 949. What are the numbers?
Answer:
25 and 18
Step-by-step explanation:
Let's say that the first number is x and the second one is y.
First, the difference between them is 7, so x-y=7
Next, the sum of their squares is 949, so x²+y² = 949
We have
x-y=7
x²+y²=949
One thing we can do to solve this problem is to solve for x in the first equation, plug that into the second equation, and go from there
Adding y to both sides in the first equation, we have
x = 7 + y
Plugging that into the second equation for x, we have
(7+y)²+ y² = 949
expand
(7+y)(7+y) + y² = 949
49 + y² + 7y + 7y + y² = 949
combine like terms
2y² +14y + 49 = 949
subtract 949 from both sides to put this in the form of a quadratic equation
2y² + 14y - 900 = 0
divide both sides by 2
y² + 7y - 450 = 0
To factor this, we want to find 2 numbers that add up to 7 and multiply to -450.
The factors of 450 are as follows:
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, and 450.
Note that we want to find two numbers with a difference of 7, as one will have to be negative for the multiplication to end up at -450. Two numbers that stand out are 18 and 25. To make them add up to 7, 18 can be negative. We therefore have
y² + 25y - 18y - 450 = 0
y(y+25) - 18(y+25) = 0
(y-18)(y+25) = 0
Solving for 0,
y-18 = 0
add 18 to both sides
y=18
y+25 = 0
subtract 25 from both sides
y= -25
As the question states "two positive integers", this means that y must be positive, so y = 18. We know x-y=7, so
x-18 = 7
add 18 to both sides to isolate x
x = 25
Select the correct answer.
What is the best way to describe a theme of this poem?
A.
The main purpose of having New Year's resolutions is to make people feel bad.
B.
The failures of the past should inspire people to accomplish more in the future.
OC.
By the end of the year, it is too late to make any changes to a person's life.
D.
People would accomplish their New Year's resolutions if they wrote them down.
B.The failures of the past should inspire people to accomplish more in the future.
I need help answering this question
Answer:
the correct answer is B) 10 + 10 + x = 50
In the figure PQ || RS, find the value of x.
The value of x in the figure is 125°
And the right option is (D) 125°
To solve the problem, we use the formular for the sum of the interior angle of a polygon.
(n-2)180°
When a vertical line is drawn to touch point Q and S, it becomes a pentagon.Pentagon: A pentagon is a polygon with 5 sidesThe sum of the angle in a pentagon is[tex](5-2)180 = 540[/tex]
From the figure,∠P+∠T+∠R+∠Q+∠S = 540°
[tex]35+200+x+90+90 = 540[/tex]
[tex]415+x = 540[/tex]
[tex]x = 540-415[/tex]
[tex]x = 125[/tex]
Hence the value of x in the figure is 125°
And the right option is (D) 125°
Learn more about polygons here: https://brainly.com/question/17042929
