Answer:
35
Step-by-step explanation:
The number of students in Mr.Romano’s class is 35.
Given that, in Mr. Romano‘s class, 40% of the students like baseball.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the number of students in Mr.Romano’s class be x.
Here, 40% of x = 14
⇒ 40/100 × x = 14
⇒ 0.4x = 14
⇒ x = 14/0.4
⇒ x = 35
Therefore, the number of students in Mr.Romano’s class is 35.
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Bo, Ryan and Zach walked 1/4 miles from school to Bo’s house. They walked 4/6 miles from Bo's House to the park what is the total distance the boys walk?
Answer: They walked 11/12 miles
Step-by-step explanation:
1/4 + 4/6
3/12 + 8/12
11/12
Draw a quadrilateral that is similar (but not congruent) to the one given below. Measure and label all sides and angles of quadrilaterals and ′′′′. Write a similarity statement.
Answer:
draw the same shape but multiply all the sizes to be bigger or smaller
Directions: Convert the following equations from standard form to slope-intercept form.
(10 points)
14. 4x + y = -1
15. 5x - 2y = 14
16. 10x - 2y = -6
17. 8x + y = 12
18. 6x - 10y = 20
Katie's deli can make 60 sandwiches in 4 hours. Stacy's can make double that in the same amount of time. How many sandwiches can Stacy's deli make in 6 hours
Answer:
Step-by-step explanation:
Answer: 150 sandwhiches
Step-by-step explanation: 60 sandwhiches in 4 hours. 15 sandwhiches per hour so you add 30 to the doulbe of 60 which is 120 then you add 30
The population of a certain community is known to increase at a rate proportional to the number of people present at time t. If the population has doubled in 5 years, how long will it take to triple?
Answer:
[tex]t=7.85 years[/tex]
Step-by-step explanation:
We can write this rate as an ordinary differential equation.
[tex]\frac{dP}{dt}=aP[/tex]
Where a is proportional constant, P the population variable, and t the time.
[tex]\frac{dP}{P}=adt[/tex]
Integrating each side of the equation.
[tex]\int \frac{dP}{P}=\int adt[/tex]
[tex]ln(P)=at+c[/tex]
[tex]P=e^{at+c}[/tex]
[tex]P=e^{c}e^{at}=Ce^{at}[/tex]
To find C we need to use the initial condiction, it means evaluae P at t=0.
[tex]P_{0}=Ce^{0}=C[/tex]
[tex]P=P_{0}e^{at}[/tex]
Now, we use the sentence the population has doubled in 5 years.
[tex]2P_{0}=P_{0}e^{a5}[/tex]
We can find "a" in this condition.
[tex]2=e^{a5}[/tex]
[tex]ln(2)=a5[/tex]
[tex]a=\frac{ln(2)}{5}[/tex]
[tex]a=0.14[/tex]
Finally, let's find how long will it take to triple.
[tex]3P_{0}=P_{0}e^{0.14t}[/tex]
[tex]3=e^{0.14t}[/tex]
[tex]t=\frac{ln(3)}{0.14}[/tex]
[tex]t=7.85 years[/tex]
I hope it helps you!
What is the slope of a perpendicular line through -y=-2x+8?
A) -1/2
B) -2
C) 2
D) 1/2
Answer:
c. 2
Step-by-step explanation:
-y=-2x+8
I hope this helps
halp
A 43-foot ladder is leaning against a building and forms a 29.37° angle with the ground. How far away from the building is the base of the ladder? Round your answer to the nearest hundredth.
21.09 feet
24.20 feet
37.47 feet
49.34 feet
Answer:
37.46
Step-by-step explanation:
I think not sure tho
I'm back.... Can someone please help me with these two problems?
Answer:
It is b and a
Step-by-step explanation:
Graph the inequality by finding the boundary line, then shading the appropriate area.
y>−7/3+2x/3
Answer: b and a is ur answer
Step-by-step explanation:
Find the radius of a circle given that a central angle of measure pi/4 intercepts an arc of length 1.5in
Given:
Central angle = [tex]\dfrac{\pi}{4}[/tex]
Arc length = 1.5 in
To find:
The radius of the circle.
Solution:
We know that the formula for arc length is
[tex]s=r\theta[/tex]
Where r is radius and [tex]\theta [/tex] is the central angle in radian.
Substitute the given values in the above formula.
[tex]1.5=r\times \dfrac{\pi}{4}[/tex]
[tex]6=\pi r[/tex]
[tex]\dfrac{6}{\pi}=r[/tex]
[tex]\dfrac{6}{3.14}=r[/tex]
On further simplifiation, we get
[tex]r=1.910828[/tex]
[tex]r\approx 1.91[/tex]
Therefore, the radius of the circle is 1.91 in.
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
4.5 would be the answer
Step-by-step explanation:
can u pls help me with this question
Answer:
c
Step-by-step explanation:
divide 1/5,280 and then multiply that by 6,600
Answer:
the answer is c
Step-by-step explanation:
multiply 6,600 by 1 and that will give you 6,600 again
after that you divide 6,600 and 5,280 that will get you 1.25
if you think I'm wrong just do it on the calculator it will give you 1.25
have a nice day!!
please help i m clusless
Answer:
-25+? = -5
cross -5 over and it the negative sign would turn to postive sign
-25+(5)=?
Therefore answer = 20
To confirm this answer
-25+20= -5
14. Quadrilateral ABCD is located at A(2,0), B(3,-4), and C(7,-5). What are the
coordinate of point D that makes the quadrilateral a rhombus?
PLEASE HELPPP
Answer:
A
Step-by-step explanation:
A rhombus is a quadrilateral whose four sides all have the same length. if you look at the picture I sent, A(6,-1) forms a rhombus where all of the sides are an equal length.
What is the area of this trapezoid enter your answer in the box
9514 1404 393
Answer:
336 cm^2
Step-by-step explanation:
The area of a trapezoid is given by the formula ...
A = 1/2(b1 +b2)h
where b1 and b2 are the base lengths, and h is the height. Filling in the values shown gives ...
A = (1/2)(28 +14)(16) = (1/2)(42)(16) = 336 . . . . cm^2
Now let's assume that you have a newer toilet that uses 6 L per flush, but you are considering upgrading to a dual-flush toilet. If you flush the toilet four times per day, but three of those times you could use the 3 L flush, how many liters of water would you save in 1 year
Answer: 3,285 Liters
Step-by-step explanation:
In the actual case, all your flushes consume 6 L of water.
You flush 4 times per day, then you consume 4 times 6 L per day, this is:
4*6L = 24 L per day.
And in one year there are 365 days, then in one year you consume:
365*24 L = 8,760 L
Now, if you upgrade the toilet, now per day you use:
one time 6 L and 3 times 3 L
Then in day, you use:
1*6 L + 3*3 L = 6L + 9L = 15L
And in the complete year, you will use 365 times that, which is:
365*15 L = 5,475 L
The amount of water that you would save is equal to the difference between the amount that you use in one year with no upgrade (8,760 L) and the amount that you would use in a year if you upgraded your toilet ( 5,475 L)
The difference is:
D = 8,760 L - 5,475 L = 3,285 L
This means that, in this situation, you would save 3,285 liters of water per year if you upgrade your toilet.
People tend to evaluate the quality of their lives relative to others around them. In a demonstration of this phenomenon, Frieswijk, Buunk, Steverink, and Slaets (2004) conducted inteviews with frail elderly people. In the interview, each person was compared with fictitious others who were worse off. After the interviews, the elderly people reported more satisfaction with their own lives. Following are hypothetical data similar to those obtained in the research study. The scores are measures on a life-satisfaction scale for a sample of n = 9 elderly people who completed the interview. Assume that the population average score on this scale is μ = 20. Are the data sufficient to conclude that the people in this sample are significantly more satisfied than others in the general population? Use a one-tailed test with α = .05. The life-satisfaction scores for the sample are 18, 23, 24, 44, 19, 27, 23, 26, 25.
Answer:
we reject H₀
We have enough evidence to claim that people in the sample are significantly more satisfied than others in general population at 95 % of CI
Step-by-step explanation:
Population mean μ₀ = 20
Sample data 18 23 24 44 19 27 23 26 25
Then:
Sample mean μ = 25,44
Sample standard deviation s = 7,14
Sample size n = 9
Hypoyhesis test:
Null hypothesis H₀ μ = μ₀
Alternative hypothesis Hₐ μ > μ₀
Significance level α = 0,05 CI = 95 %
We must develop a t-student one-tail test ( to the right ) as follows
t(c) = ??
degree of freedom df = n - 1 df = 8 and α = 0,05
Then from t-student table t(c) = 1, 8595
To calculate t(s) = ( μ - μ₀ ) / s/√n
t(s) = ( 25,44 - 20 ) * √9 / 7,14
t(s) = 5,44*3 / 7,14
t(s) = 2,29
Comparing t(c) and t(s)
t(s) > t(c)
Then t(s) is in the rejection region we reject H₀
We have enough evidence to claim that people in the sample are significantly more satisfied than others in general population at 95 % of CI
Kelsea and Landon are playing in a park standing 100 feet away from each other. They both see a bird flying above them. The angles of elevation from each person to the bird are shown. How high is the bird from the ground? Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
use an ASA triangle with law of sine
since we know that 180 = 20 +45 + C .. solve for C = 115°
now use law of sines c/ sin(C) = b/sin(B) .. and solve for b
Sin(20)*100/sin(115) = b
b = 37.73774 ft
that's the hypotenuse of the 45 triangle
SOH CAH TOA to remember how trig functions fit
use b*Cos(45) = adj
26.6846 = adj
The bird is 26.7 ft. from the ground
3 1/8 divided by 1 2/3
Answer:
15/8 and mixed number is 1 7/8
Step-by-step explanation:
Answer:
1 7/8
Step-by-step explanation
Find the missing values of the variables. The diagram is not to scale. Show steps
Step-by-step explanation:
i assume this is the question you asked me to look at.
Well, angle 116° and y are supplementary angles
therefore,116°+y=180°
y=180°-116°=64°
Now to find x
x+y+125+72=360°
x+64+125+72=360
x+261=360
x=360-261=99°
The measure of x° is 99° and the measure of y° is 64°.
What is quadrilateral?
A quadrilateral is a polygon with four sides four angles and four vertices. Whenever we name a quadrilateral, we need to keep in mind the order of the vertices.
From the given figure,
116°+y°=180° (Sum of adjacent angles is 180°)
y°=180°-116°
y°=64°
Sum of interior angles of quadrilateral is 360°.
Here, x°+y°+72°+125°=360°
x°+64°+72°+125°=360°
x°+261°=360°
x°=99°
Therefore, the measure of x° is 99° and the measure of y° is 64°.
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Tony can type at a constant rate of 110 words every 2 minutes.
Write an equation for the number of words, W, Tony can type in T minutes.
Answer:
W = 55T
Step-by-step explanation:
He types 110 / 2 = 55 words every minute. Thus, W = 55T
The y intercept is at the point '?'
The roots are x = ? and x = ?
The turning point is at ( ? , ? )
Answer:
See below.
Step-by-step explanation:
The y-intercept is the point where the line passes the y-axis. In this instance, that is at the point (0, 3).
The roots are the x-intercepts are the points where the line crosses the x-axis. In this instance, the roots are x = -3 and x = -1.
The turning point is the vertex of the equation. In this instance, the vertex is on the point (-2, -1).
4) Which formulas can be used to find the area of a parallelogram and a
square? There are two possible answers. Check one.
10 pa
O A = b x h
A = 2L + 2W
A = L + L + W + W
A = bh
Answer:
O A = Bx H and A = L + L + W + W.
Step-by-step explanation:
What are the interest cost and the total amount due on a six-month loan of $1,800 at 14.4 percent simple annual interest
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Principal (P)= $1,800
Number of periods (t)= 6 months
Monthly interest rate (r)= 0.144/12= 0.012
To calculate the interest to be paid and the total amount due, we need to use the following formula:
I= P*r*t
I= 1,800*6*0.012
I= $129.6
Total amount= $1,929.6
The table below shows the number of tea bags needed to make different amounts of iced tea. What is the total number of quarts of iced tea that can be made with 24 tea bags?
Answer:
6
Step-by-step explanation:
Search it up.
For 24 Tea bags 6 quarts of iced tea that can be made.
What is Proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal.
A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
We have the Table,
With 8 tea bags, 2 Quartz of Iced Tea made.
As, there is proportionality between two values.
So, 16 / 4= 24 / x
4 = 24 / x
x = 24/4
x= 6
Hence, For 24 Tea bags 6 quarts of iced tea that can be made.
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Julio has 4 red Hot-tires race cars, 7 blue Hot-tires race cars, and 5 green Hot-tires race cars. What is the ratio of blue race cars to red race cars?
A.4:7
B.7:4
C.7:5
D.4:5
A homeowner stays in a single location for an average of 20 years with a standard deviation of 5.7 years. What are the chances that someone lives in their home for 40 years or more?
Answer:
The Probability that someone lives in their home for 40 years or more
[tex]P(X\geq 40 ) = P( Z\geq3.50 )[/tex] = 0.0002
Step-by-step explanation:
Explanation:-
Given mean of the Population = 20 years
The standard deviation of the Population = 5.7 years
Let 'X' be the random variable in normal distribution
[tex]Z = \frac{x-mean }{S.D} = \frac{40-20}{5.7} = 3.508[/tex]
The Probability that someone lives in their home for 40 years or more
[tex]P(X\geq 40 ) = P( Z\geq3.50 )[/tex]
= 1 - P( Z< 3.50)
= 1 - ( 0.5 + A(3.50)
= 0.5 - 0.4998 ( from normal table )
= 0.0002
So one day, this young girl, who was only eleven years old at the
time, started to make speeches and write blogs saying that girls should be
allowed to go to school as well.
Question: How do you think the people with political power, who were
against girls in school, might have reacted when she started doing this?
They would be outraged and make a mockery of the idea, since they belived that girls should remain at home doing chores and learn to cook instead of getting a education.
Graph 16x−4y=2.Please answer I will make you the brainlist and rate you 5 stars if good.And report if bad.
Answer:
First one is the graph second one is the equation
Step-by-step explanation:
Hope this helps :)
Answer:
Step-by-step explanation:
as graphed
what number is 0.001 more than 437.999
Answer:
437.999 + 0.001 = 438
Step-by-step explanation:
1 hours 20 min : 2 hours ratio
1:20 i think sooo.Je suis américain et habite dans les montagnes vertes du vermont . Je premier apprend français il y a un an parce que c'est un beau langue . Oui, je sais mon français est mauvais, mais J'aime l'apprendre . Je suis dix-sept et j'ai un chien blanc petit . Ma famille l'appelle snowball et il est tres gentil . Mon préféré endroit en la monde est les montagnes car ils sont très beau dans tout quatre saisons . Merci pour votre temps et au revoir .