Answer:
[tex]b+g=120[/tex]
[tex]b+5b=120[/tex]
Step-by-step explanation:
let b be the number of boys went to the dance
let g be the number of girls went to the dance
Total number of students went to the dance are 120.
Which means the boys and girls collectively are 120 which forms the following equation.
[tex]b+g=120[/tex]
The condition has been given that the number of girls are 5 times more than the number of boys. It can be taken as that:
[tex]g=5b\\[/tex]
Insert it in the previous equation to get
[tex]b+5b=120[/tex]
The probability of rain for the day of the race is 62%.
(a) What is the probability that it does not rain on the day
of the race?
Runners who complete the race in 2 hours 15 minutes or less
get a gold medal.
Bradley completed the race in 2 hours 13 minutes 22 seconds.
(b) Work out the difference between 2 hours 15 minutes,
and 2 hours 13 minutes 22 seconds.
a) 100%-62%=38%
b) 2h 15m- 2h 13m 22s= 15m- 13m 22s= (14m- 13m)+ (1m- 22s)= 1m+ 38s= 1m 38s
Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter: 392 meters
Answer:
the length is 98 meters and the width 98 meterss
Step-by-step explanation:
We have that the length is l and the width is w, we know that:
P = 2 * w + 2 * l
if we solve for it, we have:
l = P / 2 - w
Now, we know that the area is:
A = l * w
if we replace l, we are left with:
A = (P / 2 - w) * w
A = P * w / 2 - w ^ 2
we derive to know the maximum area and we equal 0 and we have:
A '= P / 2 - 2 * w
0 = P / 2 - 2 * w
w = P / 4
now for him:
l = P / 2 - P / 4
l = P / 4
Therefore, if we replace:
l = 392/4 = 98
w = 392/4 = 98
For the maximum area the length is 98 meters and the width 98 meterss
The sum of 2 times a number and 7 is equal to 6
Answer:
2x+7 = 6
x = -1/2
Step-by-step explanation:
Answer:
2x+7=6
Step-by-step explanation:
Nicole bought 0.54 kilograms of apples and 0.87 kilograms of oranges. How much fruit did
she buy in all?
kilograms
Answer:
1.41
Step-by-step explanation:
You add 0.54 by 0.87
identify the parts of the expression then write a word expression for the numerical or algebraic expression.
Please explain and only answer if you are completly sure about your answer.
Due in 20 minutes!!!!
Answer:
the answer is-
Step-by-step explanation:
b added to 12 times x.
the plus sign is given for addition and 12x is equivalent to 12×x or 12 timesc
What Am I - using what you know
about triangles, find my missing
measurement and then tell me
my first and last name. First name,
acute, obtuse and righte Last name,
Scalene, isosceles, equilateral.
1) One angle is 82 degrees, the other is
75 degrees, What is my missing angle?
What is
my first and last name?
What is the gradient of the blue line?
The gradient of the blue line which shown in the graph and passes from the point (3,0) and (-1,2) is -1/2.
What is the gradient of a line?The gradient of a line is the difference in the height of the y coordinates and the difference in the width of the coordinates. It can be calculated with the following formula.
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Here, (x1,y1) and (x2,y2) are the coordinates of two points lies on the line.
In the given graph, the blue line passes through the point (3,0) and the form the point (-1,2). Thus, the gradient of the line is,
[tex]m=\dfrac{2-0}{-1-3}\\m=\dfrac{2}{-4}\\m=-\dfrac{1}{2}[/tex]
Thus, the gradient of the blue line which shown in the graph and passes from the point (3,0) and (-1,2) is -1/2.
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PLEASE HELP URGENT!!
Examine the following graph,where a horizontal dilation maps p(x) to I(x)
Answer:
D) a horizontal stretch
Step-by-step explanation:
"A horizontal stretching is the stretching of the graph away from the y-axis. A horizontal compression (or shrinking) is the squeezing of the graph toward the y-axis." Quoted from mathbitsnotebook.com.
The presence of an angle bisector will result in what type of angles?
Complementary angles
Congruent angles
Vertical angles
Supplementary angles
Answer:
Congruent angles
Step-by-step explanation:
Angle bisectors, divides the given angle into two equal parts
thus if value of angle is x then angle bisector will divide this angle into parts
of equal value x/2 .
_______________________
complementary angles are two angles whose sum is 90 degrees.
since we do not the value of angle we cannot say with certainty that the angles are complementary
Congruent angles are angles who have the same angular measurement.
since, in above problem we have seen that angle bisector divides the angle in two equal parts.
hence angles are equal and thus they are congruent angle.
Congruent angles is the correct answer.
_______________________________________
vertical angles are angle opposite two one another when two line cross each other.
Since in the problem line is not intersecting each other thus, angles do not qualify to be vertical angles
Supplementary angles are two angles whose sum is 180 degrees.
since we do not the value of angle we cannot say with certainty that the angles are Supplementary.
Hence correct option is Congruent angles
Answer:
congruent angles
Step-by-step explanation:
Natalie has two number pyramids each labeled 1 to 4. Natalie is going to conduct an experiment by tossing both pyramids a total of 96 times. She will find the difference of each pair of numbers rolled by subtracting the lesser number from the greater number.
a. How many possible outcomes are there? _________________
b. How many times should Natalie toss a difference of 1? ______________
c. How many times should Natalie toss a difference of 0?
Answer:
The answer would be A. 1 1/5
48/40 = 1 8/40
1 8/40 Simplify to 1 1/5
Hope this helps!
Step-by-step explanation:
if a book is 33 hour and 45 min long ,how many days would it take you to read it if you read 6 hours a day ?
Answer:
6 days
Step-by-step explanation:
The ratio of the number of Mays necklaces to the number of Helen's necklace is 25:9. May has 100 necklaces. How many necklaces does Helen have.
Answer:
36
Step-by-step explanation:
25:9
25*4 = 100
9*4 = 36
30 out of 65 students in the class are bus riders. In lowest terms,
out of
students are bus riders.
Answer:
6 out of 13 (6/13)
Step-by-step explanation:
30/65
Simplify by dividing both sides by 5
6/13
Tada!
i need help please thanks
Answer:
66 units
Step-by-step explanation:
just addition
Answer:
66 units
Step-by-step explanation:
The perimeter of a two dimensional object is all of its sides added together:
6+14+10+17+4+3+8+4=
20+10+17+4+3+8+4=
30+17+4+3+8+4=
47+4+3+8+4=
51+3+8+4=
54+8+4=
62+4=
66 units
Simplify the radical of that
Answer:
9 sqrt(d^6) thus d)
Step-by-step explanation:
pierre, an art dealer, earns 25% commission of the dollar value of the art pieces that he sells at the bizzell Gallery. Pierre earns $10,800 this month. what is the total dollar value of the art that he sells?
Answer:
$43,200
Step-by-step explanation:
25% is 1/4 of the total dollar value, to find the answer we need to multiply 10,800 by 4 (it is 1/4, and the answer will be equivalent to the 4/4)
10,800 * 4 = 43,200
The total dollar value of the art that he sells is 43200 dollars.
What is percentage ?Percentage is the value per hundredth.We can also convert percentages into decimals by dividing he percentage value by 100.
According to the given question Pierre, an art dealer, earns 25% commission of the dollar value of the art pieces that he sells at the Bizzell Gallery. Pierre earns $10,800.
∴ 25% of the total value is 10800 dollars.
Assuming total value to be x dollars.
So, (25/100)x = 10800
(1/4)x = 10800
x = 10800 × 4
x = 43200 dollars.
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WILL GIVE BRAINLIEST AND 20 POINTS! Which function is the inverse of f(x) = -5x -4?
Answer:
-1/5x -4/5 = y
Step-by-step explanation:
f(x) = -5x -4
y = -5x-4
Switch x and y
x = -5y -4
Solve for y
Add 4
x+4 = -5y
Divide by -5
-1/5x - 4/5 = -5y/-5
-1/5x -4/5 = y
Answer:
f(x) = -5x - 4
let f(x)= y
y = -5x -4
x = -5y - 4
-5y = x+4
y = - (x +4)/5
The inverse of f(x) is -(x +4)/5
Hope this helps.
A graph of average resting heart rates is shown below. The average resting heart rate for adults is 72 beats per
minute, but doctors consider resting rates from 60-100 beats per minute within normal range.
Average Resting Heart Rate by Age
120-
10.112)
100-
80
Heart Rate (beats/min)
(20,72)
(50,72)
40-
20
0 10 20 30 40 50 60
Age (years)
Which statement about average resting heart rates is not supported by the graph?
1) A 10-year-old has the same average 3) A 40-year-old may have the same
resting heart rate as a 20-year-old.
average resting heart rate for ten years.
2) A 20-year-old has the same average 4) The average resting heart rate for
resting heart rate as a 30-year-old.
teenagers steadily decreases
Answer:
Option (1)
Step-by-step explanation:
Characteristics of the graph attached,
1). Heart rates of the teenagers (0 to 20 years) varies from 112 beats per minute to 72 beats per minute.
2). Heart rates of the adults (20 years to 50 years) remains constant (72 beats per minute)
Option 1). Since average resting heart rate of the teenagers decreases from 0 to 10 years, so at the 20 years of age heart rate will be less than a teenager of 20 years.
Therefore, statement is not supported by the graph.
Option (2). A 20-year-old has the same average resting heart as at 30-year-old. [True]
Therefore, this option is supported by the graph.
Option (3). A 40-year-old may have the same average resting heart rate for 10 years.
[True]
Therefore, this statement is supported by the graph.
Option (4). The average resting heart rate for teenagers steadily decreases.
[True]. There is a linear decrease in the teenagers heart rate shown in the graph.
Therefore, the given statement is true and supported by the graph.
Option (1) will be the answer.
does anyone know this?
Answer:
6x^2
Step-by-step explanation:
What goes in the box is
2x* 3x
6 x*x
6x^2
In the derivation of the quadratic formula by completing the square, the equation
- 4ac + b 2
4a?
is created by forming a
perfect square trinomial.
What is the result of applying the square root property of equality to this equation?
Answer:
2nd option is the correct answer.
Step-by-step explanation:
[tex] \because \bigg(x + \frac{b}{2a}\bigg) ^2 = \frac{-4ac+b^2}{4a^2}\\\\
\therefore \bigg(x + \frac{b}{2a}\bigg) ^2 = \frac{b^2-4ac}{4a^2}\\\\
\therefore \bigg(x + \frac{b}{2a}\bigg) = \pm \sqrt {\frac{b^2-4ac}{4a^2}} \\\\
\purple {\boxed {\bold {\therefore x + \frac{b}{2a}= \frac{\pm\sqrt{b^2-4ac}}{2a}}}} \\\\[/tex]
Answer:
B
Step-by-step explanation:
Help please! Will give brainly! Jada noticed that the distances fallen are all multiples of 16. She wrote down:
Answer:
Look at the underlined numbers
So we have 16 = 16*1
then 64 = 16*4
the difference would be 3
then 144 = 16*9
the difference would be 5
256 = 16*16
the difference would be 7
400 = 16*25
the difference would be 9
so the next one would be 11+25=
3, 5, 7, 9, 11
ANSWER: 16*(11+25) = 36*16 = 576
Step-by-step explanation:
I explained before this
algebra applications: find the value of x and y
Answer:
[tex]x = 14\\y = 20 \\[/tex]
Step-by-step explanation:
Finding x:
8x + 3x + 26 = 180 (Angle on a straight line add up to 180°)
11x = 180-26
11x = 154
Dividing both sides by 11
x = 14
Finding y:
3x + 5y + 38 = 180 (Angle on a straight line add up to 180°)
3(14) + 5y + 38 = 180
42 + 38 + 5y = 180
80 + 5y = 180
5y = 180-80
5y = 100
Dividing both sides by 5
y = 20
Answer:
x = 14, y = 20
Step-by-step explanation:
[tex](8x + 26) \degree + 3x \degree = 180 \degree..(straight \: line \: \angle s) \\ (11x + 26) \degree = 180 \degree \\ 11x + 26 = 180 \\ 11x = 180 - 26 \\ 11x = 154 \\ \\ x = \frac{154}{11} \\ \\ \huge \red { \boxed{x = 14}} \\ \\ (5y + 38) \degree = (8x + 26) \degree..(vertical \: \angle s) \\ 5y + 38 = 8 \times 14 + 26 \\ 5y + 38 = 112 + 26 \\ 5y + 38 = 138 \\ 5y = 138 - 38 \\ 5y = 100 \\ \\ y = \frac{100}{5} \\ \\ \huge \purple{ \boxed{ y = 20}}[/tex]
If the measure of arc AB is 50 degrees what is the measure of its inscribed angle ACB?
Answer:
87
Step-by-step explanation:
or 130. let me know if I'm wrong
If the measure of arc AB is 50°, then the measure of its inscribed angle ACB is, 130°
What is an angle ?An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.
Interior angles:- The inner angle made by the intersection of two polygonal sides.
Exterior angles:- The outer angle made by the intersection of two polygonal sides.
Given that,
The measure of arc AB = 50°
The measure of its inscribed angle ACB = ?
Here, ACBP will make a quadrilateral
And, the sum of opposite angles of quadrilateral is 180°
So, ∠ACB + ∠AB = 180°
⇒ ∠ACB = 180° - 50°
⇒ ∠ACB = 130°
Hence, the measure is 130°
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What is the volume of the rectangular prism? one cube is 1/3
Pleaser answer fastt
Answer:
A
Step-by-step explanation:
15 boxes multiplied by 2 is 30, 1/3 times 30 is 10
Robert climbed 775 steps in 12 1/2 minutes. How many steps did he average per minute
Answer:
62
Step-by-step explanation:
Because 775 divided by 12 1/2= 62
15POINTS OR 22 IDK
Solve 4(x−9)=4(9+1/3x).
Answer:
x = 27
Step-by-step explanation:
4(x−9)=4(9+1/3x).
Divide each side by 4
(x−9)=(9+1/3x)
Subtract 1/3 x from each side
x - 1/3x -9 = 9+1/3x -1/3x
2/3x -9 = 9
Add 9 to each side
2/3x -9+9 = 9+9
2/3x = 18
Multiply each side by 3/2
3/2 * 2/3x = 18*3/2
x = 27
Answer:
27
Step-by-step explanation:
4(x−9)=4(9+1/3x)
4x-36=36+(4/3)*x
(12/3)*x-36=36+(4/3)*x
(8/3)*x=72
8x=216
x=27
I put in 6.32 for A but it’s still saying it’s wrong and I need the √ , I only need to answer this right to pass my summer school class someone please help me !
Answer:
Value of blank 1 is 2
Value of blank 2 is 10
Step-by-step explanation:
We are given that a and b are the lengths of legs of right angle in right angled triangle .
b = 3
We are also given that c is the hypotenuse
c = hypotenuse = 7
To find the value of 'a' we will use Pythagoras theorem
[tex]Hypotenuse^2 = perpendicular^2 +base^2\\c^2=a^2+b^2\\7^2=a^2+3^2\\7^2-3^2=a^2\\\sqrt{7^2-3^2}=a\\\sqrt{40}=a\\2\sqrt{10}=a\\[/tex]
Value of blank 1 is 2
Value of blank 2 is 10
A rectangular garden has a length of x + 2 ft. and a width of x + 8 ft. What must x be in order for the garden to have an area of 91 sq. ft.?
Answer:
x=5
Step-by-step explanation:
5+2=7
5+8=13
13*7=91
Answer: 5 ft
Step-by-step explanation:
Our equation can be (x + 8)(x + 2) = 91. Now we solve:
(x + 8)(x + 2) = 91
x^2 + 2x + 8x + 16 = 91 expand
x^2 + 10x + 16 = 91 simplify
x^2 + 10x - 75 = 0 subtract 91 from both sides
(x + 15)(x - 5) = 0 factor
x + 15 = 0 x - 5 = 0
x [tex]\neq \\[/tex] -15 x = 5
x can't equal -15 because you cannot have negative feet, so x = 5 feet
Write an equation in point-slope form of a line that goes through the points (1,4) and (3,-10). Do not use any spaces in your answer.
Answer:
y-4=-7(x-1) OR y-(-10)=-7(x-3)
Step-by-step explanation: The point-slope form is [tex]y_[/tex]-[tex]y_{1}[/tex]=[tex]m_[/tex]([tex]x_[/tex]-[tex]x_{1}[/tex])
In slope-intercept form, the equation would be y = -7x + 11
You could find the slope by using the slope equation, [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex].
Using that, you would get -7. Thus by inserting one of the points and the slope in the point-slope equation, you will get your answer.
Over the last 5 years, a corporation's debt grew by $ 4 , 253 , 335 . Calculate the average rate at which the company's debt was growing in cents per second. Round your answer to the nearest hundredth if necessary. (For the purposes of this calculation, use 365 days/year.)
Answer:
$.03 per second
Step-by-step explanation:
Take the debt and divide by the number of years
4 , 253 , 335 /5
850667 per day
The divide by how many days in a year
850667/365
2330.594521 per day
Then divide by 24 hours in a day
2330.594521 /24
97.10810502 per hour
Then divide by 60 minutes in an hour
97.10810502/60
1.618468417 per minute
The divide by 60 seconds in an hour
1.618468417/60
.026974474 per second
$.03 per second