[tex]2x^{2} -10x +4x -20[/tex]
I'm not sure if you need to simplify
Last year at a certain high school, there were 96 boys on the honor roll and 60 girls on the honor roll. This year, the number of boys on the honor roll increased by 25% and the number of girls on the honor roll increased by 10%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).
Answer:
19%
Step-by-step explanation:
Last year:
Number of boys on honor roll = 96
Number of girls on honor roll = 60
Total students on honor roll = Number of boys on honor roll + Number of girls on honor roll
= 96 + 60
= 156
This year:
The number of boys on the honor roll increased by 25%
Number of boys on honor roll = 25% of 96 + 96
= 0.25×96 + 96
= 24 + 96
= 120
The number of girls on the honor roll increased by 10%.
Number of girls on honor roll = 10% of 60 + 60
= 0.10 × 60 + 60
= 6 + 60
= 66
Total students on honor roll = Number of boys on honor roll + Number of girls on honor roll
= 120 + 66
= 186
Percentage the total number of students on the honor roll increase = (186 - 156) / 156 × 100
= 30 / 156 × 100
= 0.19 × 100
= 19% to the nearest tenth
Answer: 19.2%
Step-by-step explanation:
What expression is equivalent to −1/2 (6x − 10)?
Answer:
-3x+5
Step-by-step explanation:
The answer is up ahead
A square piece of paper is folded in half along a line of symetry. The resulting shape is then folded in half along line of symetry of the new shape. This process is repeted until n folds have been made, given a sequence of n+1 shapes.If we do not distinguish between congruent shapes, find the number of possible sequences when
(a) n=3
(b) n=6
(c) n=9
A bicyclist is riding at a speed of 18 mi/h when she starts down a long hill. The distance d she travels in feet can be modeled by d(t) = 41^2 + 18t, where t is the time
in seconds. How long will it take her to reach the bottom of a 400-foot-long hill?
Answer:
8 seconds
Step-by-step explanation:
d(t)=400
4t^2+18t=400
4t^2+18t-400=0 subtract 400 from both sides
2t^2+9t-200=0 divide by 2 on both sides
x=8; -25/2 solve using quadratic formula
Which of these tables represents a non-linear function?
х
17
18
19
y
20
19
18
17
20
х
17
18
19
20
y
-16
-17
-18
-19
Х
17
18
19
20
у
16
17
19
20
у
Answer:
Its C.Step-by-step explanation:
Non-linear functions address the problems of a linear activation function: They allow backpropagation because they have a derivative function which is related to the inputs. They allow “stacking” of multiple layers of neurons to create a deep neural network.
moving company rents moving trucks for $20 plus $0.19 per mile. Suppose a customer’s total bill for renting a truck comes to $34.06. How many miles did the customer drive? Write an equation and explain how you used it to find your answer.
Answer:
34.06=20+0.19m
Step-by-step explanation:
The 20 dollars is a one-time thing so we don't need a variable for that. The 0.19 per mile does because the cost will depend on how many miles you drove (I used the variable 'm' but you could use a different letter). Altogether the bill costs 34.06 so that will go on the opposite side of our equal side.
34.06=20+0.19m
First we need to isolate 0.19m to find the number of miles the customer drove, and we can do that by subtracting 20 on each side.
34.06-20=20-20+0.19m
14.06=0.19m
Now we divide 0.19 because 0.19 is multiplied to m and division is the opposite operation
m=74
This means that the customer drove 74 miles.
Please help!
A company dyes two sizes of rugs. A small rug requires 8 hours for dyeing and a medium-size rug requires 12 hours for dyeing. The dyers have to make at least 22 rugs, and they must do it in less than 240 hours. Let x equal small rugs and y equal medium rugs. Which of the following inequalities can be paired with x + y ≥ 22 to create a system that represents this situation? (5 points)
A. 8x + 12y > 240
B. 12x + 8y > 240
C. 8x + 12y < 240
D. 12x + 8y < 240
Answer:
c
Step-by-step explanation:
The floor of a new planetarium is a circle with a 13-yard diameter.A stage will occupy a quarter circle section of the floor.The material for the stage will cost $31.47 per square yard. If no material is wasted when making the stage,how could you find how much the stage will cost? Use 3.14
Answer:
$1,043.74Step-by-step explanation:
Area of the circular floor = πr²
Since the stage only occupies a quarter circle section of the floor, then;
Area of the stage = πr²/4
Given
diameter of the floor = 13yd
radius = 13/2 = 6.5yd
Find the area of the stage;
Area of the stage = π(6.5)²/4
Area of the stage = 3.14(42.25)/4
Area of the stage = 33.16625yd²
If the material for the stage will cost $31.47 per square yard, this means;
1yd² = $31.47
33.16625yd² = x
Cross multiply
x = 33.16625*31.47
x = 1,043.74
Hence the stage will cost $1,043.74
Find the slope of the line through each pair of points (-5, -3), (19, 19)
Answer:
[tex]m = \frac{11}{12} [/tex]
Step-by-step explanation:
m= (y2-y1) / (x2-x1)
m = 19 - (-3) / 19 - (-5)
m = 22 / 24
m = 11/12
A map of Utah has a scale of 1 cm: 30 mi. The border of Utah measures
about 3.7 cm. How long is the actual border of Utah and Wyoming? Show
your work to receive full credit
Answer:
The actual border of Utah and Wyoming is 111 miles long.
Step-by-step explanation:
We can use proportion to solve this!
[tex] \frac{1 \: cm}{30 \: mi} = \frac{3.7 \: cm}{x} \\ \\ \frac{111}{1} = \frac{1x}{1} \\ \\ 111 = x[/tex]
Which quadrant is the following point in?
Point A (1,3)
Answer:
Its first quadrant bro.
OFFERING A LOT OF POINTS (PLEASE DONT TAKE THIS QUESTION DOWN BRAINLY MODERATORS, i HAVE WORKED ON THIS QUESTION FOR THE PAST HOUR AND CANT GET IT RIGHT, NEED HELp),
im confused on this question of my virtual math homework, can anyone help? thanks in advance
Answer:
b) 75%
c) 150%
d) 90%
Step-by-step explanation:
HELP TY PLS AND TY!!!!
Answer:
I think its the third step like the other person said
Step-by-step explanation:
Spammers will be reported!
Solution needed with a fair explanation
Answer: c. 0.40396
Step-by-step explanation:
The total number of flaws is given by:
[tex]{\left({0}\times{4}\right)}+{\left({1}\times{3}\right)}(0\times4)+(1\times3) +{\left({2}\times{5}\right)}+{\left({3}\times{2}\right)}+(2\times5)+(3\times2) +{\left({4}\times{4}\right)}+{\left({5}\times{1}\right)}+(4\times4)+(5\times1) +{\left({6}\times{1}\right)}+(6\times1)={46}=46[/tex]
Average number of flaws for the 20 sheets : [tex]\displaystyle\mu=\frac{46}{{20}}={2.3}[/tex]
Required probability : [tex]=P(X\geq3)=1-P(X<3)[/tex]
[tex]=1-[P(X=0)+P(X=1)+P(X=2)][/tex]
[tex]=1-(\dfrac{e^{-2.3}2.3^0}{0!}+\dfrac{e^{-2.3}2.3^1}{1!}+\dfrac{e^{-2.3}2.3^2}{2!})\ \ \ [\text{Poisson distribution formula: }P(X=x)=\dfrac{e^{-\mu}\mu^x}{x!}]\\\\=1-0.596038825932=0.403961174068\approx0.40396[/tex]
Hence, c. is the correct option.
What is the probability of not drawing a green marble?
75%
60%
2/3
4/5
Answer:
75 %
15 ÷ 20 = 0.75
0.75 × 100 = 75%
hope it helps!
Answer:
75% :)
Step-by-step explanation:
i need help with this practice problem
Answer:
Step-by-step explanation:
V of a sphere is (4/3)*pi*r³, and because we have 3 scoops
V = 3* (4/3) * 3.14 * 4³ = 4* 3.14 * 4³ = 803.84 cm³
penny reads 12 pages an 1/4 an hour. what is the unit rate for pages per hour. for hour per pages
Answer:
She is reading 48 pages and hour. 12x4=48
Step-by-step explanation:
HELPPPP PLEASE ASAPPPP
Answer:
it the 3rd one
Step-by-step explanation:
because you are comparing the it
If it takes 42 strokes to fill up 3/5 of a line of typing, how many more strokes will it take to complete the line?
Answer:
28 strokes
Step-by-step explanation:
The computation is shown below:
It is given that the 42 strokes are required to fill up the 3 by 5th
So for completing the line, the number of additional strokes required is
But before the total strokes required is
= 42 × 5 ÷ 3
= 70
This represent the total
so, the additional strokes is
= 70 - 42
= 28 strokes
Which decimal is equivalent to 40?
25 POINTS and brainliest
A function is shown. To the nearest whole number, what is the average rate of change of the function over the interval from x = 0 to x = 15? f(x) = 50,900(1.03)
Answer:
X=13
Step-by-step explanation:
Answer:
1893 or B
Step-by-step explanation:
To find the rate of change we divide the output value by the input values in this case
f(x) = 50,900(1.03)^0= 50900
f(x) = 50,900(1.03)^15= 79300
79300-50900=28400
So if we find the Rate of change by dividing the output value by the input value so we have 28400/15=1893 that is how you get your answer
Leila received a $80 gift card for a coffee store. She used it in buying some coffee that cost $7.58 per pound. After buying the coffee, she had $34.52 left on her card. How many pounds of coffee did she buy?
Answer:
4.55 or about 5 pounds
Step-by-step explanation:
I did 34.52 / 7.58 = 4.55 or rounded up, to about 5 pounds :D
on a survey seven students reported how many minutes it takes them to travel to school . here are their responses 5, 12 , 4 , 8 , 7 ,10 , 12 . find the mean travel time for these students if necessary round your answer to the nearest tenth
Answer:
8.28 my guy
Step-by-step explanation:
Easy, because the 'mean' is also called the 'average'.
To find the average of a list:
1). Add up all the items on the list.
then
2). Divide the sum by the number of items on the list.
For your list:
3) 5+12+4+8+7+10+12=58
4) There are 7 students so we divide, 58/7=8.28
Need help on 1, 2, and 3. 50 points and brainliest
Answer:
1. 7/12
2. 6 2/5
3. 18/5
Step-by-step explanation:
Answer:
1st is 7/12
2nd is 6and 2/5
3rd is answer is not shown
Step-by-step explanation: Brainliest pls
hope this helped
Find m∠1. Then classify the triangle by its angles.
The triangle can be classified by its angles as
A. Right
B. Obtuse
C. Equiangular
D. Acute
The measure of angle 1 from the given triangle is 81°.
In the given triangle, the measure of two angles are 78° and 31°.
What is angle sum property of a triangle?Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.
From the angle sum property of triangle,
78°+31°+m∠1=180°
⇒ 109°+m∠1=180°
⇒ m∠1=180°-109°
⇒ m∠1=81°
Therefore, the measure of angle 1 from the given triangle is 81°.
#SPJ2
BRAINILIEST IF RIGHT 4. Solve the following equation.
-2 = -2b
A. 4
B. 0
C. -4
D.1
ways and answer in paper
Sophia saves $30 every month to her savings account. She withdrew $120 one time to go Christmas shopping. She now has $330 in her account. How many months has she been saving money?
Answer:
15 months
Step-by-step explanation:
330+120=450, and 450 divided by 30 equals 15. Therefore, Sophia has saved $30 to her savings account every month for 15 months.
Joseph is weaving a ceremonial Native American sash. The sash will be 8 feet long when it is completed. Joseph wants to add a diamond shape every 0.4 feet along the sash. How many diamonds will the sash have when it is completed? A. 20 B. 19 C. 18 D. 17 pls give answer
Answer:
20 diamonds
Step-by-step explanation:
It is given that,
Length of the sash when it is completed = 8 feet
Joseph wants to add a diamond shape every 0.4 feet along the sash.
We need to find no of diamonds the sash have when it is completed. It can be calculated by dividing total length by 0.4 feet. As a result,
n = 8/0.4
n = 20
Hence, 20 diamonds the sash will have when it is completed
Pls help. I need the explanations too.
Answer:
a- about 3$
b-about 8$
c-about .04
Step-by-step explanation:
a-100.8/35=2.88
2.88 is around 3
b-49.2/6=8.2
8.2 is close to 8
c-.78/20=.039
.039 is the nearest to .04
Which ordered pairs are soultions to the inequality y-2x<-3
Answer:
(-3, 3/2)
Step-by-step explanation:
Given the inequality function y-2x<-3, to get the solution, we will need to find the x and y-intercept of the inequality function
y-intercept occurs at x = 0
Substitute x = 0 into the expression
y - 2(0) < -3
y < -3
Find the x-intercept by substituting y = 0 into the expression
0 - 2x < -3
-2x < -3
x > 3/2
Hence the ordered pair is (x, y) = (-3, 3/2)