Answer:
A . 36
Step-by-step explanation:
We are given a total of 176 interviewed by Oliver and a total of 140 interviewed by Jenny. To find how many more 10th graders than 9th graders were interviewed, subtract the totals given
176 - 140 = 36
This is how we came to the answer:
We are given 70% of the 10th-grade and 30% of the 9th-grade with a total of 176 for Oliver.
While we're given 75% of the 9th-grade class and 25% of the 10th-grade with a total of 140 interviewed by Jenny
Oliver's Interviewees
10-gradersFirstly, let's find what the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;
70% of 176 =
[tex]\frac{70}{100} * \frac{176}{1}[/tex]
Cross multiply
123.2 were 10-graders interviewed by Oliver
9th-gradersNow, to find the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;
30% of 176 =
[tex]\frac{30}{100} * \frac{176}{1}[/tex]
Cross multiply
52.8 were 9th-graders interviewed by Oliver
Jenny's Interviewees
9th-gradersFirstly, let's find what the number of 9th-graders was interviewed by Jenney; find the percentage of the 9th-graders by the total;
75% of 140 =
[tex]\frac{75}{100} * \frac{140}{1}[/tex]
Cross multiply
105 students were 9th-graders interviewed by Jenney.
10th-gradersNow, to find the number of 10th-graders was interviewed by Jenney; find the percentage of the 10th-graders by the total;
25% of 140 =
[tex]\frac{25}{100} * \frac{140}{1}[/tex]
Cross multiply
35 students were 10th-graders interviewed by Jenney.
Total calculation
Use the results and sum them up by 9th-grade plus 9th-grade and 10th-grade plus 10-grade. Then subtract the amount gotten from 9th-grade away from the amount gotten from 10th-grade;
Oliver's 9th-grade = 52.8
Jenny's 9th-grade = 105
105 + 52.8 = 157.8
Oliver's 10th-grade = 123.2
Jenny's 10th-grade = 35
123.2 + 35 = 158.2
Total calculation: 158. 2 - 157.8 = 0.4
Therefore, there are 36 more 10th than 9th.Extra Info:Oliver's Interviewees Percentage
Since we are given 30% of the 9th-grade class and 70% of the 10th-grade class, first, let's add the percentages. To do so, set it up as a fraction;
30% = [tex]\frac{30}{100}[/tex] while, 70% = [tex]\frac{70}{100}[/tex]
Now solve it;
[tex]\frac{30}{100} + \frac{70}{100}[/tex]
Simplify; cancel bottom zero's;
[tex]\frac{30}{1} + \frac{70}{1}[/tex]
Add the remaining numerators;
30 + 70 = 100
Which is 100%
Jenny's Interviewees Percentage
Since we're given 75% of the 9th-grade class and 25% of the 10th-grade, it will end up the same answer. I'll show you how; first, let's add the percentages. To do so, set it up as a fraction;
25% = [tex]\frac{25}{100}[/tex] and, 75% = [tex]\frac{75}{100}[/tex]
Now solve it;
[tex]\frac{25}{100} + \frac{75}{100}[/tex]
Simplify; cancel bottom zero's
[tex]\frac{25}{1} + \frac{75}{1}[/tex]
Add the remaining numerators;
25 + 75 = 100
Meaning 100%
Size of the largest angle in a triangle is 4 times the sizes of the smallest angles.The other angles is 27 degree less than the largest angles. Work out in degree , the size of the each angle in the triangle
the price of a game is normally $39.99. today it is on sale for 20%. what is the price of the game after the 20% discount? what is the total cost of the game after 20% discount AND 7% sales tax?
Answer:
31.99, 34.23
Step-by-step explanation:
39.99 x .20=8 discount
39.99-8=31.99 tot price after discount
31.99x 1.07 (sales tax added)=34.23 total price with tax included.
38% of y is 494, what is y?
15% of c is 49, what is c?
Answer:
y= 1,300
c= 326.67
Step-by-step explanation:
Using a graphical method, solve the simultaneous equations x+y =4 and y=2x+1
Answer:
(1, 3)
Step-by-step explanation:
Given the expression
x+y = 4 ... 1
y = 2x+1 ....2
Substitute equation 2 into 1
x + (2x+1) = 4
3x + 1 = 4
3x = 4-1
x = 3/3
x = 1
Since y = 2x + 1
y = 2(1) + 1
y = 3
Hence the solution to the equation is (1,3). This means that the coordinate point on the graph where both lines intersect will be at (1, 3)
If c | | d, which statement must be true?
A. <1 ≈ <16
B. <7 ≈ <10
C. M<14 + M<15 = 180°
D. M<6 + M<10 = 180°
Answer:
c is the answer becoz Evey angle make 180 degree and as 6 is used
Please, help thanks!
I would like an explanation how to do it too, IF you dont mind.
Answer:
Phoebe has £180, Andy has £60, and Polly has £30.
Step-by-step explanation:
Ok, to start of let's establish some variables! We'll give Phoebe the variable "p", Andy the variable "a", and Polly the variable "o". By giving each person a variable we can create an equation and solve for it!
So, what do we know?
Well we know the following information...
p + a + o = 270
(Phoebe + Andy + Polly = £270)
p = 3a
(Phoebe = 3 times more than Andy)
a = 2o
(Andy = 2 times more than Polly)
To be able to solve this equation we have to solve for just one variable first.The only one we can use is "o" for Polly!
3(2o) + 2o + o = 270
6o + 2o + o = 270 (Distribute 3 to get like terms)
9o = 270 (Combine like terms [6+2+1])
o = 30 (Divide by 9 on both sides to get "o" by itself)
Now that we have how much Polly has, we have to solve for Andy and Phoebe. (To do this we will input our value, 30, where our variable is "o")
Andy
a = 2(30) (Input term)
a = 60 (Multiply by 2 to get final answer)
(Since we now know what Andy has we can input 60 into our "a" variable to solve for Phoebe)
Phoebe
p = 3(60) (Input term)
p = 180 (Multiply by 3 to get final answer)
Now! Just to check we are going to input our variables into our original equation to be sure we have the right variables.
p + a + o = 270
180 + 60 + 30 = 270!!
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Jasmine
Brandon
Step 1) x = log2 (9-3) +8
Step 1)x - log, (9-3) +8
Step 2)x - 8 = log, (9-3)
Step 2) x- 8 - log.(9-3)
Step 3) loge(x-8)=y-3
Step 3)4*-B - y-3
Step 4) log. (x - 8) + 3 = y
Step 4)4*-8 + 3 =
Which student has the correct inverse?
What step did the other student do wrong? Why?
PLEASE ANSWER FAST , WILL GIVE BRAINLYEST!!!
Answer:
brandon correct answer
the incorrect step is 3 we can't move the log between the sites
Evaluate the expression for n = 7
n^2+n+1
NO LINKS
Answer:
57
Step-by-step explanation:
7 times 7 or 7 to the power of 2 is 49 plus 7 is 56 and then plus 1 makes that 57
Answer:
57
Step-by-step explanation:
n^2+n+1 (n=7)
7^2+n+1
49+7+1
49+8
57
Substitution
y=7x+3
Answer: x= 1/7 y + -3/7
Step-by-step explanation:
y=7x+3
Step 1: Flip the equation.
7x+3=y
Step 2: Add -3 to both sides.
7x+3+(−3)=y+(−3)
7x=y−3
Step 3: Divide both sides by 7.
Calculate 9 1/6- 5 2/3
Answer:
7/2
Step-by-step explanation:
What is the first step to solving this equation?
-2a= 10
A) Add 2 to both sides
B) Subtract 2 from both sides
C) Multiply by -2 to both sides
D) Divide by -2 to both sides
E) Divide by 2 to both sides
An eagle 311 feet in the air spots its prey on the ground. The angle of depression to its prey is 15°. What is the distance between the eagle and its prey? Round to the nearest foot.
If a triangle was rotated about the y-axis, as seen in the picture below, what 3-d shape would be created
Answer:
Cone will be created by rotating the triangle about the y-axis.
Step-by-step explanation:
If the given triangle is rotated about the y-axis, 3-D image formed will be a cone,
Radius of the circular base of the cone = 3 units
Height of the cone = 4 units
Choose all of the sentences that describe 800 = 40 x 20.
A. 800 is 40 more than 20.
B. 800 is 40 greater than 20.
C. 800 is 20 greater than 40.
D. 800 is 40 times as many as 20.
E 800 is 20 times as many as 40.
Answer: d, e
Step-by-step explanation:
5 divided by 2,165 equals?
answer:
1/433 (decimal: 0.002309)
step-by-step explanation:
5/2,165
= 1/433
to change 1/433 to decimal we'll divide the numerator by the denominator-
1÷433
=0.00230946882
so we're going to round to the ten-millionths place
5 or more raise the floor, 5 or less let it rest
4>5
so 0.002309
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
Find the circumference and area of the circle. Use 3.14 for π. Round to the nearest hundredth if necessary.
Answer:
2 x 3.14 x 13 = 81.64 m is your circumference
13^2 x 3.14
169 x 3.14 = 530.66 m^2 is your area
ANSWER FAST FOR BRAINLIEST AND 30 POINTS I ONLY HAVE A LIMITED AMOUNT OF TIME!!!!!!!
Answer:
D
Step-by-step explanation:
Answer:
Option D; 3, 7, 9 and 21
Step-by-step explanation:
63/3 = 21
63/7 = 9
63/9 = 7
63/21 = 3
Hope this helps!
Find the volume of the prism shown.
Answer:
41.16 m³
Step-by-step explanation:
Volume = area triangle x height
1/2(2.8x4.2) = 1/2( 11.76) = 5.88
5.88 x 7 = 41.16
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Point O is the centre of the circle.
What is the value of x°?
Passes through
(1.2) and (3, -8).
with y=mx+b
Answer:
y = -5x - 10
Step-by-step explanation:
-8-2 -10
____ = ___ = -5
3 - 1 2
Answer:
y = -5x + 7Step-by-step explanation:
Find the slope:
m = (- 8 - 2) / (3 - 1) = -10 / 2 = -5Use the point (1, 2) and find the equation:
y - 2 = -5(x - 1)y = -5x + 5 + 2y = -5x + 7How many solutions are there to the equation below?
3x - 10(x+2) = 13 - 7x
O A. O
B. 1
O C. Infinitely many
Answer:
A) 0 (no solutions)
Step-by-step explanation:
Solve the equation:
3x - 10(x+2) = 13 - 7x
3x - 10x -20 = 13 - 7x
-7x - 20 = 13 - 7x
-20 = 13
Since both sides are clearly not equal to each other, no solution can satisfy both sides to be equal to each other. So A is correct.
Answer:
It would be 0
Step-by-step explanation:
because its -7x+20=13-7x which in the end would 20=13
john drew rhombus RSTV. He drew both diagonals that intersect at point M. in johns figure, which would be the measure of RMS
-45°
-90°
-180°
-360°
Answer:
Option B
Step-by-step explanation:
One of the basic property of Rhombus is that its diagonal intersect each other in a way that they bisect each other and also make angle of 90 degrees
Angle RMS comprises of angle formed by the bisecting diagonals. Hence angle RMS is of 90 degrees.
Thus, option B is correct
Andrea ran 4 kilo over the weekend. How many meters did she run
URGENTTTTTTTTTTT
If y varies directly with x, and y is 16 when x is 72, which equation represents this situation?
A) y equals 3 over 8 x
B) y equals 1 over 9 x
C) y equals 2 over 9 x
D) y equals 1 over 8 x
(please respond with answer not a link)
The equation of proportion is y equals 2 over 9 x and , y = ( 2/9 )x
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion be represented as A
Now , the value of A is
where y varies directly with x, and y is 16 when x is 72
So , when x = 72 , y = 16
y = kx
16 = k ( 72 )
Divide by 72 on both sides , we get
k = 16 / 72
k = 2/9
Therefore , the value of A is y = ( 2/9 )x
Hence , the equation is y = ( 2/9 )x
To learn more about proportion click :
https://brainly.com/question/7096655
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Find the volume of an construction cone if it has a radius of 4 inches and a height of 16 inches.
Answer:
≈ 268 or 85.3π
Step-by-step explanation:
V = 1/3πr²h
V = 1/3 x 3.14 x 4² x 16
V ≈ 267.9467 or 268
also can be considered 85.3π
Find the surface area of the triangular prism shown below.
Answer:
150
Step-by-step explanation:
mark brainliest plz
please help me! HELP ME HELP Me HELP ME HELP ME HELP ME HELP ME!!!
Answer:
A. 3/25
Step-by-step explanation:
From Marco: p(green marble) = 3/10
From Kira: p(blue) = 6/15 = 2/5
p(green marble & blue) = 3/10 * 2/5 = 6/50 = 3/25
Mrs. Thomas has two rolls of garden edging that are each 96 inches long.
She wants to make two new flower beds in her back yard. Each flower bed
will be bordered by one roll of the edging. One flower bed will be in the
shape of a quadrilateral. The other will be in the shape of a triangle.
Please answer all parts. I will give brainliest for correct answer!
Answer:
A) The total length of each edging in her scale drawing would be 19.2 centimeters.
B) Square or rectangle
C) angle α= 53.13 degrees
angle β= 36.87 degrees
height= 32 inches
base= 24 inches
hypotenuse 40 inches.
Step-by-step explanation:
Part A:
If the roll edging is 96 inches long and the scale chosen is
5inches = 1 cm
96inches /5= 19.2cm
The total length of each edging in her scale drawing would be 19.2 centimeters.
Part B:
The quadrilaterals such rectangle square right trapezoid have a pair of 90 degrees angles.
If we choose a square shape then all sides must be equal. And we have a length of 19.2 centimeters.
Dividing 19.2 by 4 gives 4.8 cm for each side.
Figure A shows a square and has 4 sides equal and 4 right angles.
If we choose a rectangle shape then 2 sides must be equal. We have a length of 19.2 centimeters.
Suppose the length is 2 times more than the width
which will give the dimensions as
2*2 x+ 2x= 6x ( length and width denoted by x)
Dividing 19.2 by 6 gives 3.2 cm for each width and 6.4 for the lengths.
Figure B shows a rectangle and has 2 sides equal and 4 right angles.
It depends on which quadrilateral you wish to choose.
Part C:
Using Pythagorus theorem if the base and altitude are given then the hypotenuse can be found out using the following formula.
c²= a² +b²
c²= 6.4² +4.8²
c²= 40.96+23.04= 64
c= √64 = 8
The third side must be equal to 8 centimeters.
Using the formula
Cos α= base / hypotenuse
Cos α=4.8/8
α= Cos (inverse) 4.8/8
α= Cos (inverse) 0.6
α= 53.13 degrees
So angle α= 53.13 degrees
All the angles in the triangle must be 180 degrees.
α + β + 90°= 180°
And angle β= 180-90-53.13= 36.869= 36.87 degrees
The actual dimensions of this triangle are
height= a= 6.4* 5= 32 inches
base= b= 4.8*5= 24 inches
hypotenuse= 8*5= 40 inches.
kinda confused lol can i get some help?
Answer: 17
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINLIEST
Answer: The correct answer is C
-1/4r+6p
Step-by-step explanation:
