[tex](17x+4y)+(48x+21y)[/tex]
Simplify:
(1) Combine like terms
[tex]17x+4y+48x+21y[/tex]
[tex]65x+4y+21y[/tex]
(2) Combine like terms
[tex]65x+4y+21y[/tex]
[tex]65x+25y[/tex]
Solution:
[tex]A) 65x+25y[/tex]
Answer:
[tex]65x+25y[/tex]
Step-by-step explanation:
[tex](17x + 4y) + (48x + 21y)[/tex]
[tex]17x+4y+48x+21y[/tex]
[tex]17x+48x+4y+21y[/tex]
[tex]65x+4y+21y[/tex]
[tex]65x+25y[/tex]
Michelle bought 3000 shares of a stock at $24 per share. The company paid annual
dividends of $0.42 per share. What is the total annual dividend?
Answer:
$ 12.60
Step-by-step explanation:
30 shares × $ 0.42 = $ 12.60
Answer:
$1,260
Step-by-step explanation:
3000 x .42 = 1260
The area of a rectangle is 45 square inches. The length of the rectangle is 6 inches.
What is the width of the rectangle?
Enter your answer as a mixed number in simplest form in the box.
inches
Step-by-step explanation:
the area of a rectangle is
length × width.
so, we have here
45 = 6 × width
width = 45/6 = 15/2 = 7.5 in = 7 1/2 in
8.
60 fifth-grade students participating in
an event. The students will be put into
groups among their own grade and into
the largest possible equal groups with no
students left over. How many students will
be in each group?
A.
2
po
B. 3
C.
6
D. 12
Answer:
c.6
Step-by-step explanation:
6 is the gcf between 42 and 60
Answer:
it'll be 6
Step-by-step explanation:
6*5 so 5 groups of 6
What is the median of the data represented in the dot plot below?
Answer:
11
Step-by-step explanation:
organize it:
10, 10, 11, 11, 11, 11, 12, 12, 13
the number in the middle of the order is the median, in this case the median would be 11.
24-6/3*2+1 = how is this calculated
In AFGH, f = 60 cm, g = 10 cm and h=62 cm. Find the measure of LF to the
nearest degree.
Answer:
∠F ≈ 74°
Step-by-step explanation:
The law of cosines is used to find the measures of angles in a triangle when the side lengths are known.
__
f² = g² +h² -2gh·cos(F) . . . . . law of cosines relating to angle F
cos(F) = ((g² +h² -f²)/(2gh)) . . . . . solve for cos(F)
F = arccos((g² +h² -f²)/(2gh)) . . . . . . solve for angle F
F = arccos((10² +62² -60²)/(2·10·62)) = arccos(344/1240)
∠F ≈ 74°
This is the last question I promise V3 (this is the third time I asked this question
Answer:
Step-by-step explanation:
what is it that makes this seem difficult?
90° the hands make a right angle? correct?
30° the hands are close together
60° the hands are farther than 30 but closer than 90
150 ° the hands are farthest apart
Kalinda is sewing a binding to all of the edges of her blanket The blanket is 137 centimeters wide by 188 Centimeters long the banding is sold in packages of 2.3 meters How many packages will Kalinda need to buy?
Answer:
1.37+1.37+1.88+1.88= 6.5
6.5/2.3=2.8packages. approximately 3
Solve the system of equations. y=4x+5y=x2+12x+20
Answer:
[tex]\begin{pmatrix}x=-3,\:&y=-7\\ x=-5,\:&y=-15\end{pmatrix}\\[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}y=x^2+12x+20\\ y=4x+5\end{bmatrix}[/tex]
[tex]\mathrm{Subtract\:the\:equations}[/tex]
[tex]y=x^2+12x+20[/tex]
[tex]y-y=x^2+12x+20-\left(4x+5\right)[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]0=x^2+8x+15[/tex]
As part of a math lesson on probability, Mr. Keen rolled a standard die 30 times. He predicted the die would land on three 5 times. He actually rolled a three 8 times. What is the percent error for his prediction?
Using it's concept, it is found that the percent error for this prediciton is of 60%.
What is the percent error?The percent error of an amount is the absolute value of the difference between the actual amount and the expected amount, multiplied by 100% and divided by the expected amount.
In this problem:
The expected amount was of 5 times.The actual amount was of 8 times.Hence, the percent error is given by:
P = |8 - 5|/5 x 100% = 3/5 x 100% = 0.6 x 100% = 60%.
More can be learned about percent error at https://brainly.com/question/25224978
Answer:
its 37.5%Step-by-step explanation:
5(3 + 4) − 2 = 7 − 3(−2 + 11)
Answer:
33 = - 20
Step-by-step explanation:
In this equation you have to use BEMA or PEMDAS (however you learned it) ot solve. (Brackets, Exponents, Multiplcation/Divison, Addition/Subtraction) or (Parentheses, Exponents, Multiplication, Division, Addition, SUbtraction)
5(3 +4) - 2 would be simplified down first to
5(7) -2 because parentheses are the first thing you do in any equation like this.
35 -2 because multiplication and divison are next due to the fact there are no exponents
33 because subtraction is last. You then do the same to the other side.
7 -3 (-2 +11)
7 + -3(9) (you can change the minus three to a plus negative three to make the next step more clear)
7 + -27
-20
33 = -20
Pls I need help with this one
Step-by-step explanation:
formula=⅓πr×r
⅓ * 22/7 * 4*4
1056/21
=50.285
approximately=50.3
Ricky is 11 years old. Mel and Kim are both five years older than Ricky. Jaz is 29 . What is the mean of their ages?
Answer:
18 years
Step-by-step explanation:
The average of 4 ages:
(11 + 16+16 + 29 )/4
Answer:
The mean of their ages is 18.
Step-by-step explanation:
11 + 16 + 16 + 29 = 72
72 ÷ 4 = 18
Having trouble with this, help please?
I will give brainliest.
Answer:
a) [tex]7x-15=20[/tex]
b) [tex]\frac{20+15}{7}[/tex]
c) 5
Step-by-step explanation:
a small pizza has a diameter of 8 inches what is the circumference
Answer:
Given :-
Diameter of Pizza is 8 inches , radius = 4 inchesTo find :-
Circumference of Circular pizzaSolution :-
Formula for circumference of Circular pizza = 2πrPutting the known values
Circumference = 2 × 3.14 × 4
Circumference = 25.12 cm
What is the equation of the line shown in this graph?
Answer:
x=-2
Step-by-step explanation:
Since it's a vertical line the answer is going to be x= which ever number the line is on. In this case x=-2
Which of the lines is a line of symmetry for the hexagon?
A.
PQ and LM
B.
JK and NO
C.
JK only
D.
all of the lines
Answer: the answer is b which is line NO and line JK
Step-by-step explanation: one line is vertical and the other is horizontal . Both lines make the sides equivalent and equal , so they make a symmetry . HOPE IT HELPS YOU BUDDY .PLEASE GIVE BRAINLIEST .THANKS ..
Answer:
The Correct Answer is B.JK and No.
Hope it helps you Czn.
Please Mark me as Brainleast!!!!!!
the parent-teacher associating is raising money for new swing set. they need $682.56 to purchase the swing set and receiving a 200 donation. the remaining amount will be equally divided among 8 different student groups to raise. How much will each student group need to raise in order to purchase the swing
Answer:
60.32
Step-by-step explanation:
682.56-200=482.56
482.56/8= 60.32
Solve for x , y and z using geometric mean altitude theorem and leg theorem
Check the picture below.
when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one. So let's use proportions to get x,y and z.
[tex]\cfrac{x}{30}~~ = ~~\cfrac{30}{24}\implies \cfrac{x}{30}~~ = ~~\cfrac{5}{4}\implies x=\cfrac{150}{4}\implies \boxed{x=\cfrac{75}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{y}{24}~~ = ~~\cfrac{x-24}{y}\implies \cfrac{y}{24}~~ = ~~\cfrac{\frac{75}{2}-24}{y}\implies \cfrac{y}{24}~~ = ~~\cfrac{~~ \frac{27}{2}~~}{y}\implies \cfrac{y^2}{24}=\cfrac{27}{2} \\\\\\ y^2=\cfrac{(24)(27)}{2}\implies y=\sqrt{\cfrac{(24)(27)}{2}}\implies \boxed{y=18} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\cfrac{z}{y}~~ = ~~\cfrac{30}{24}\implies \cfrac{z}{18}~~ = ~~\cfrac{5}{4}\implies z=\cfrac{(18)(5)}{4}\implies \boxed{z=\cfrac{45}{2}}[/tex]
How you do this pls help
Answer:
why do ask the question which answer is given below
A computer is used to generate passwords made up of numbers 0 through 9 and lower case letters the computer generated 400 passwords one character at a time a uniform probability model is used to predict the character in the password what is the prediction of the number of passwords in each the first character is a vow round your answer to the nearest whole number 56 passwords 77 passwords 111 passwords 233 passwords
Answer:
56
hope it helpes if you could give me brainliest so i could level up
I suck at angles (why is there no subject for shapes and angles or whatever)
Answer: D. 45 degrees
Step-by-step explanation:
A circle is equal to 360°
360° divided in half is 180°.
180° divided in half one more time is 90°
A second time is 90° / 2 = 45°
The angle created is D. 45 degrees.
The amount of money that college students spend on food each week during the academic year is normally distributed with
a mean of $31.28 and a standard devitation of $11.42.
What is the probability that one randomly selected student will spend less than $25 per week on food?
If you randomly select 10 students, what is the probability that their mean will be less than 525?
Answer:
~ 70 %
Step-by-step explanation:
(31.28 - 25)/ 11.42 means 25 is .5499 S.D. below the mean
z -score = .7088
70.88 % chance of less than = 25 dollars
The required probability for one randomly selected student will spend less than $25 per week on food is 0.2911 and for randomly selected 10 students, what is the probability that their mean will be less than $25 is 0.040.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
a) X = 25 , μ = 31.28 and σ = 11.42
[tex]Z = \frac{X - \mu}{\sigma}\\z = \frac{25 - 31.28}{11.42}\\z = -0.5499[/tex]
Using z score
Now a probability that one randomly selected student will spend less than $25 per week on food is given.
P(x<25) = p(z = -0.5499)
= 0.2911
b) number of sample = 10
standard deviation = 11.42/√10
= 3.611
Herr,
[tex]Z = \frac{X - \mu}{\sigma}\\z = \frac{25 - 31.28}{3.611}\\z = -1.7444[/tex]
Probability (x<25) = p(z = -1.7444)
Using the Z score table,
Probability (x <25) = 0.040
Thus, the required probability for one randomly selected student will spend less than $25 per week on food is 0.2911 and for randomly selected 10 students, what is the probability that their mean will be less than $25 is 0.040.
Learn more about probability here:
brainly.com/question/14290572
#SPJ5
The parts of a solid are faces, vertices and __________.
Answer:
edges
Step-by-step explanation:
A company surveyed all of the employees in their Columbus, Ohio office,
one of their six national offices. Based on the survey they determined that
72% of all employees were satisfied with their job. Which of the following
explains why this is NOT a random sample?
A. They only surveyed people who had been at their job for five years or
more.
B. They did not survey employees in other offices around the country.
C. The survey was conducted electronically.
D. The survey had a time limit.
Answer:
B. They did not survey employees in other offices around the country
Step-by-step explanation:
1. A random sample is when you randomly choose options from the whole list. In this case, they make it clear that there are other offices. They didn't give a chance to the rest of the offices to take a survey.
2. Surveying "all" the employees is not what a random sample is. A random sample is supposed to help make it more distributed among the people you survey. Making all of them take it in a cluster is not random.
3. The other choices don't make sense because they don't mention anything about them: nothing about the employees working 5 years, nothing about it being conducted electronically, and nothing about a time limit.
0.65 converted to percent is
Answer:
65%
Step-by-step explanation:
65%
One decimal place is equal too the 100% so .65 is equal too 65%
Sorry if my english is not great.
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
To the nearest degree x is equal to 61.1 degrees.
Step-by-step explanation:
use the trig function cosine.
Cos(theta) = adjacent/hypotenuse.
Let x be the unknown angle in the diagram.
Adjacent = 3
Hypotenuse = 6.2
Cos(x) = 3/6.2
x = [tex]Cos^-1(\frac{3}{6.2})[/tex] (you have to do cos inverse to find x)
X = 61.1
Margot needs to gallons of paint for his living room he has 10 quarts of paint is that enough
Answer:
"Quart" is shorthand for "quarter of a gallon." So that means there are 4 quarts in each gallon. Which means 8 quarts in 2 gallons.
So if he's got 10 quarts, that means 2 and a half gallons.
Step-by-step explanation:
The population of a city has decreased by 38% since it was last measured. If the current population is 40,300, what was the previous population.
Answer:
65,000
Step-by-step explanation:
100-38 is 62%
40,300 is 62% of whatever x is
40,300*100= 4,030,000
4,030,000/62=65,000
Write the system of equations, then solve. SHOW ALL WORK!! please HELP! QUICK
Answer:
3 30 page printers, 10 70 page printers
Step-by-step explanation:
x + y = 13
40x+70y = 820
Solving for y in first equation gives: y = 13 - x
Plug into second equation: 40x + 70(13 - x) = 820
40x + 910 - 70x = 820
-30 x = -90
x = 3
Plug into original equation: 3 + y = 13
y must = 10.
So, the company owns 3 thirty page presses, and 10 70 page presses,