For every boy in an advanced math course there are 3 girls who are taking the course.
If 32 students are enrolled in the course, how many students are girls?
A:24
B:26
C:28
D:21
Answer:
If 32 students are enrolled in the course, there would be 24 girls.
Step-by-step explanation:
Given that For every boy in an advanced math course there are 3 girls who are taking the course.
It means if there are four students in the class. There would be 3 girls and 1 boy. Thus, 75% of the students are girls.
Given that there are 32 students enrolled in the course.
so
75% of 32 = 75/100 × 32
= 24
Thus, if 32 students are enrolled in the course, there would be 24 girls.
The Spanish club raised $131.25 by having a garage sale and car wash. The amount raised at the car wash was half the amount raised at the garage sale. How much was raised at each event
Answer:
Car Wash: $43.75 and Garage Sale: $87.5
Quadrilateral ABCD has vertices A(–1, –2), B(–1, 3), C(4, 3) and D(4, –2). It's dilated by a factor of 2 with the center of dilation at the origin. What are the coordinates of the resulting quadrilateral A'B'C'D'?
Given:
Quadrilateral ABCD has vertices A(–1, –2), B(–1, 3), C(4, 3) and D(4, –2).
It's dilated by a factor of 2 with the center of dilation at the origin.
To find:
The coordinates of the resulting quadrilateral A'B'C'D'.
Solution:
The figure dilated by a factor of 2 with the center of dilation at the origin. So, the rule of dilation is
[tex](x,y)\to (2x,2y)[/tex]
Using the above rule, we get
[tex]A(-1,-2)\to A'(2(-1),2(-2))=A'(-2,-4)[/tex]
[tex]B(-1,3)\to B'(2(-1),2(3))=B'(-2,6)[/tex]
[tex]C(4,3)\to C'(2(4),2(3))=C'(8,6)[/tex]
[tex]D(4,-2)\to D'(2(4),2(-2))=D'(8,-4)[/tex]
Therefore, the coordinates of the resulting quadrilateral A'B'C'D' are A'(-2,-4), B'(-2,6), C'(8,6) and D'(8,-4).
Plz hurry will give 17 points and brainliest
What is 2/3 divided by 1/6?
2
3
4
6
Answer:
4
Step-by-step explanation:
on the following unit circle, \thetaθtheta is in radians. a unit circle with an angle from the positive x-axis to a ray labeled theta. the point where the ray intersects the circle is labeled 0.54, 0.84 and is in the first quadrant.
The value of the trigonometry are sin(Π-Ɵ) = 0.84 and sin(Π + Ɵ) = -0.84
According to the question, there is a circle whose radius is 1 and the ray intersects the circle at point (0.54, 0.84).
We need to find the trigonometric values, that is
sin(Π-Ɵ) = sin(Ɵ) as we know that when the angle is in third quadrant sin is positive.
sin(Π+Ɵ) = -sin(Ɵ) as we know that when the angle is in fourth quadrant sin is negative.
Also note that, sinƟ = perpendicular/hypotenuse
Perpendicular = 0.84 as the perpendicular length will be equal to the length of the y-axis
Hypotenuse = 1 as the hypotenuse will be the radius of the circle which is formed by the ray.
Thus, sinƟ = 0.84/1 = 0.84
Hence, sin(Π-Ɵ) = 0.84
And sin(Π+Ɵ) = -0.84
Learn more about trigonometry here : https://brainly.com/question/13729598
#SPJ4
1.
For the function f(x) =
8x + 10, find the inverse function.
O
x2 - 10
f-4x) =
-,X20
8
O
(x - 10)2
f-1(x) =
x2 10
8
f-1(x)
X2 + 10
8
,*20
x2 - 10
f-4(x) =
-, X30
8
Answer:
The inverse of [tex]f(x)=8x+10[/tex] is [tex]\mathbf{f^{-1}(x)=\frac{x-10}{8}}[/tex]
Step-by-step explanation:
[tex]f(x)=8x+10[/tex]
We need to find inverse of the function.
For finding inverse of function,
let [tex]y=8x+10[/tex]
Now, solving to find value of x
Subtracting 10 on both sides
[tex]y-10=8x+10-10\\y-10=8x[/tex]
Divide both sides by 8
[tex]\frac{8x}{8}=\frac{y-10}{8} \\x=\frac{y-10}{8}[/tex]
Now replace y with x and x with [tex]f^{-1}(x)[/tex]
[tex]f^{-1}(x)=\frac{x-10}{8}[/tex]
So, the inverse of [tex]f(x)=8x+10[/tex] is [tex]\mathbf{f^{-1}(x)=\frac{x-10}{8}}[/tex]
Answer:
The answer is [tex]f^(-1)(x)= (x^(2) - 10)/(8), x > =0[/tex]
What is 3 times 3 +77-23/4
Answer:
80.25
Step-by-step explanation:
Put these 3 problems in order from least to greatest: (WILL GIVE BRAINLIEST)
-15.2, -15.9, 3.6, -3.6
-15.9, -15.2, -3.6, 3.6
2.03, -2.3, -2.03, 3.0
Which function is negative for the interval [-1, 1)?
Answer:
madarchod
Step-by-step explanation:
randi bhosdike
Which statement is NOT true about the absolute value of -6?
Answer:
2: it describes the distance between 6 and -6 on the number line.
. In Exercise 16, the height of the rocket was given by h=256t-167². Use the
discriminant to answer the following questions.
a. Will the rocket reach an altitude of 1000 ft?
b. Will the rocket reach an altitude of 1024 ft?
c. Will the rocket reach an altitude of 1048 ft?
Answer:
USE AIR MATH!!!!!!!!!!!!!!!
Step-by-step explanation:
e) 340 people participated in a conference. If the ratio of ladies and gentleman is
3:2, find the number of ladies and gentlemen in the conference.
Answer:
There were 204 ladies and 136 gentlemen in the conference
Step-by-step explanation:
Let's set the variables:
L = number of ladies in the conference
G = number of gentlemen in the conference
We know 340 people participated in the conference, thus:
L + G = 340 [1]
We are also given the ratio of ladies and gentleman as 3:2, thus:
L/G = 3/2
Cross-multiplying:
2L = 3G [2]
From [1]:
L = 340 - G
Substituting in [2]:
2(340 - G) = 3G
Operating:
680 - 2G = 3G
5G = 680
G = 680/5 = 136
G = 136
L = 340 - 136 = 204
L = 204
There were 204 ladies and 136 gentlemen in the conference
can someone help me? im not really good with slope
Answer:
Go to microsoft Calculator, and try to make diagrams, it's the easiest variant.
And by other way, use point as a y and make formula
[tex]x= \frac{y}{m} + b [/tex]
If three pounds of apples costs $5.25, how much will 10 pounds
cost?
Answer:
$1.75 per pound of apples, 10 apples can be purchased for $17.50 because you divide 17.50 by 1.75 since that is your unit rate per pound.
Step-by-step explanation:
Answer:
the answer is 17.50
Step-by-step explanation:
one pound is 1.75 so you multiply that by 10 and you get 17.50
if my answer helped give me a thanks a rating and i would appreciate a brainliest
Which relation is not a function?
The length between the bases on a baseball field is 90 feet. A scale drawing shows the distance between the bases as 2 inches. One inch on this drawing
equals how many feet?
Enter your response here:
Answer:
1 inch of drawing = 45 feet
Step-by-step explanation:
Given that:
Length between the bases on a baseball field = 90 feet
As per the scale drawing, the distance between the bases is equal to 2 inches.
To find:
Length of one inch on the drawing is equal to actual length of how many feet?
Solution:
First of all, let us learn about the scale drawings.
Scale drawings are a way to represent the big real world measurements on a paper.
Therefore, small measurements are used to represent the bigger real world measurements.
Here, it is given that:
2 inches on scale is equal to 90 feet of actual length.
Therefore,
1 inch on scale is equal to [tex]\frac{90}{2}[/tex] = 45 feet of actual length.
Therefore, 1 inch of drawing = 45 feet
The length of a rectangle is 10 inches longer than its width. If the area of the rectangle is 144 square inches, what are its dimensions? Write an equation is standard form that can be used to find the dimensions.
Answer:
L= 18 in
W= 8 in
Step-by-step explanation:
Step one:
The length of a rectangle is 10 inches longer than its width
let the width be x
so the lenght is x+10
the area of the rectangle is 144 square inches
Step two:
[tex]Area= L*W\\\\144=x(x+10)\\\\144=x^2+10x\\\\x^2+10x-144=0[/tex]
the factors for the quadratic expression is
18 and -8
[tex]x^2+18x-8x-144=0\\\\x(x+18)-8(x+18)=0\\\\x-8=0\\\\x=8\\\\x+18=0\\\\x=-18[/tex]
the width is 8 in
the length is 8+10= 18 in
From the equation, the length is 18 inches and the width is 8 inches.
Let width = w
Since the length of a rectangle is 10 inches longer than its width, the length will be w+10.
Area = 144 inches²
Area = Length × Width
w(w + 10) = 144
w² + 10w = 144
w² + 18w - 8w - 144 = 0
w(w + 18) - 8(w + 18) = 0
(w - 8) = 0
w = 0 + 8 = 8
Length = w + 10 = 8 + 10 = 18
Learn more about equations on:
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-3x-6y=6 y=x+8 infinite solution no solution one solution
Answer:
3x-6y=6
y=x+8
3x - 6(x+8) = 6
3x - 6x - 48 = 6
-3x - 48 = 6 / +48
-3x = 54 // -3
x = - 18
y = -18 +8 = 10
Step-by-step explanation:
PLEASE HELP DUE TODAYWhich of the following types of triangles have angles of equal measure?
Select one:
A. Scalene
B. Right
C. Equiangular
D. Isosceles
Answer:
Equaiangular
Step-by-step explanation:
think equal
HELP PLEASE IM GIVING 50 POINTS PLEASE HELP I HAVE NOT MUCH TIME
Answer:
2.25 inches
Step-by-step explanation:
Number of books: 12
Height of stack: 27 inches
27 divided by 12 = 2.25 inches
Answer:
9/4
Step-by-step explanation:
27/12 = 9/4 inch
= 2,25 inch
5x - 7 = 4
can u pleas e solve
Answer:
[tex]\frac{11}{5}[/tex]
Step-by-step explanation:
1. isolate x by adding 7 to the other side (7+4)
5x - 7 = 4
5x = 11
2. divide by 5 to get x alone
x = 11/5
Answer:
Step-by-step explanation:
5x - 7 = 4
5x=4+7
5x=11
x=11/5
x=2.2
Can yall help me? I will give out brainliest!!!
Can yall find the area of the shape? I'm so confused. Please HELP
Answer:
The total area is 29 cm2
Step-by-step explanation:
The area of the first rectangle (left side) is 4 * 2 = 8
Second rectangle ( right side ) 4 * 3 = 12
The triangle is 3 * (4 + 2) * 1/ 2 = 9
Total area is 29 cm2
What is the decimal expansion of 3/11
Answer:
It is 300 + 10 + 1.
Step-by-step explanation:
Answer:
.27
Step-by-step explanation:
just divide 3/11
HELP!!!! WILL MARK BRAINLIEST!!!!
Answer:
the vaulue is denominator
Step-by-step explanation:
it's it's the denominator
Answer:
The denominator
Step-by-step explanation:
whats the midpoint? im pretty confused
Graph the linear inequality.
3x – 4y > 8
HELP ASAP
Pls help me ill give me brainliest
Do all 3 for brainliest pls
Alana buys 3 pounds of potatoes for $2.82. What is the unit
price of the potatoes?
A. $9.40 per pound
B. $8.46 per pound
C. $1.41 per pound
D. $0.94 per pound
Answer:
D. $0.94 per pound
Step-by-step explanation:
To find how much each potato costs, we have to do 2.82/3
This is equal to $0.94, so $0.94 per pound!
Check:
With each potato being $0.94 ( according to my calculations ), 3 potatoes should be $2.82. So, $0.94 * 3 should be equal to $2.82.
3 * 0.94 = 2.82 Correct!
how do I solve this, please help
9514 1404 393
Answer:
EF = DE = 44FG = DG = 36FH = DF = 31Step-by-step explanation:
Since EH is the perpendicular bisector of DF, ∆DEF is isosceles and sides DE and EF have the same length.
DE = EF
(9x -1) = (7x +9)
2x = 10 . . . . . . . add 1-7x
x = 5 . . . . . . . . . divide by 2
__
Similarly, marked sides GD and GF are the same length, so ...
GD = GF
(10y -4) = (7y +8)
3y = 12 . . . . . . . . . . add 4-7y
y = 4 . . . . . . . . . divide by 3
__
Now, we have what we need to calculate the side lengths.
EF = 7x+9 = 7·5 +9 = 44
DE = 9x-1 = 9·4 -1 = 44
FG = 7y+8 = 7·4 +8 = 36
DG = 10y-4 = 10·4 -4 = 36
FH = 3x+4y = 3·5 +4·4 = 31
DF = FH = 31
help need ASAP
agebra 1
Answer:
Your answer is D
Step-by-step explanation:
Let's solve your system by substitution.
y−2x=3;3x−2y=5
Rewrite equations:
−2x+y=3;3x−2y=5
Step: Solve−2x+y=3for y:
−2x+y=3
−2x+y+2x=3+2x(Add 2x to both sides)
y=2x+3
Step: Substitute2x+3foryin3x−2y=5:
3x−2y=5
3x−2(2x+3)=5
−x−6=5(Simplify both sides of the equation)
−x−6+6=5+6(Add 6 to both sides)
−x=11
−x
−1
=
11
−1
(Divide both sides by -1)
x=−11
Step: Substitute−11forxiny=2x+3:
y=2x+3
y=(2)(−11)+3
y=−19(Simplify both sides of the equation)
Answer:
x=−11 and y=−19