Answer:
a=360
b=168
Step-by-step explanation:
a=5×12×12/2=5×12×6=360
b=2×12×12×(12-5)/10×12=2×12×7=14×12=164
Which of the following is the solution to the inequality below? 5x - 6 [tex]\leq[/tex] 14
A) x [tex]\leq[/tex] - 4/5
B) x [tex]\geq[/tex] 4
C) x [tex]\geq[/tex] - 4/5
D) x [tex]\leq[/tex] 4
Answer:
D. x [tex]\leq[/tex] 4
Step-by-step explanation:
1. You add 6 to each side
2. Divide each side by 5 to isolate x
Answer:
answer is A.
Step-by-step explanation:
-5x-10 <20
Group like terms
-5x < 20 + 10
-5x < 30
Divide both sides by -5
Louise owns a hot dog stand. The amount of money she collects from selling hot dogs each day can be found by using the equation y=3.5x What does 3.5 from the equation represent in the situation?
Answer:
3.5 represents the cost of each hotdog ($3.50).
Step-by-step explanation:
In y = 3.5x, the x represents the number of hotdogs and the y represents the total amount you have to pay for those hotdogs. The 3.5 represents the cost of each hotdog.
15 POINTS!!!
Identify the initial value and rate of change for the graph shown
A coordinate plane graph is shown. A line passes through the y-intercept at 1 and through the point 5 comma 4.
Initial value: 1, rate of change 3 over 5.
Initial value: 3 over 5., rate of change: 0
Initial value: 1, rate of change 5 over 3.
Initial value: 5 over 3., rate of change: 0
Answer:
Step-by-step explanation:
y=mx+b
y-intercept= 1
b=1
point (5,4)
x=5
y=4
y=mx+b
4=m(5)+1
5m=3
m=3/5
rate of change = 3/5
Triangle ABC is transformed to obtain triangle A′B′C′:
A coordinate grid is labeled from negative 12 to 0 to 12 on both x and y axes at increments of 1. Triangle ABC has A at ordered pair negative 12, 12, B at negative 9, 6, C at negative 3, 12. Triangle A prime B prime C prime has A prime at ordered pair 4, negative 4, B prime at 3, negative 2, C prime at 1, negative 4.
Which statement is correct for Triangle ABC. and Triangle A prime B prime C prime.? (5 points)
Triangle ABC is similar to triangle A prime B prime C prime. because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 3. and then rotating it about the origin by 180 degrees
Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 4. and then rotating it about the origin by 90 degrees
Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 4. and then rotating it about the origin by 180 degrees
Triangle ABC is similar to triangle A prime B prime C prime. because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 6. and then rotating it about the origin by 90 degrees
Answer:
Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 4. and then rotating it about the origin by 180 degrees
Step-by-step explanation:
In Riverview Middle School, 20% of the students participate in after-school clubs. For every 100 students, how many are in an after-school club?
A) 2
B) 5
C) 20
D) 80
Answer:
Nicole is studying a two-way table. She has computed the relative frequencies by column for each cell. What characteristic of the data will imply an association between the two v
Step-by-step explanation:
PLZ HELP 10 POINTS
Is the transformed figure (image) congruent to the original (pre-image) figure?
Congruent means there's exact shape and angle magnitude since transformation requires relocation of an image there's no change to it's shape therefore it's congruent
Which of the following correctly simplifies the expression 3 to the power of 2 multiplied by 5 to the power of 0 whole over 4, the whole squared.?
3 to the power of 2 multiplied by 1 whole over 4, the whole squared. = 3 to the power of 1 multiplied by 1 squared over 4 squared. = 1 over 6.
3 to the power of 2 multiplied by 0 whole over 4, the whole squared. = 3 to the power of 4 multiplied by 0 over 4 squared. = 0
3 to the power of 2 multiplied by 0 whole over 4, the whole squared. = 3 to the power of 1 multiplied by 0 over 4 squared. = 0
3 to the power of 2 multiplied by 1 whole over 4, the whole squared. = 3 to the power of 4 multiplied by 1 squared over 4 squared. = 81 over 16.
NO LINKS
A small pot holds 75% as much as a large pot.
If a small pot holds 36 units, how much does the large pot hold?
Answer:
63 units!!
Step-by-step explanation:
36x.75= 27
Add 27 to 36 to get the large pot.
Answer:
The large pot can hold 48 units of water.
Step-by-step explanation:
small pot holds 75% water of a large pot
small pot holds 36 units
let x be quantity of water in large pot
According to the question,
75% of x = 36 units
75/100 * x= 36
75x/100= 36
75x= 36*100
75x= 3600
x= 3600/75
x= 48 units
The large pot can hold 48 units of water.
Please mark me as brainliest.
PLZ HELP 10 POINTS
The slope of a line through the points (-2, 4) and (6, b) is –3/2 . What is the value of b? Explain your method for
calculating b.
Answer:
b = -2
Step-by-step explanation:
The sum of twice a number and 13 is 47. Find the number.
Answer: 17
Step-by-step explanation:
In this problem, the phrase "a number" can be interpreted as a variable. In this case, let the variable be "x."
Thus, "twice a number" = "2x"
"and 13" = "+ 13"
"is 47" = "= 47"
Thus, the problem is simply 2x + 13 = 47.
Then, simply subtract 13 from both sides to get 2x = 34.
Then, simply divide both sides by 2 to get x = 17.
Because "the number" is "x," the number is 17.
Hope it helps :) <3 and lmk if you need more help
17
Step-by-step explanation:
you represent the unknown by a variable
for example X
2x +13=47
Help pls, can you solve for x?
Answer:
X=1.5, but I may be incorrect, hope this helps!
Step-by-step explanation:
FACTS I KNOW:
X has to be less than 2 but greater than 1
Angle B and D are 90 degrees
The complete bottom side is equal to 10
All triangle angles add up to 180 degrees
All angles in rectangles and squares are 90 degrees
All rectangles have 2 sets of 2 of the same sides.
If you take a piece of the top right you could make a rectangle
It would take about .5 of the 2
Therefore X=1.5 approximately, but I may be wrong.
I need help with this question. Question in image.
Show working out to answer
Answer:
Step-by-step explanation:
38
Mary and her three friends go out to lunch and their bill is $36. If they want to tip their waitress 15%, how much money should they tip?
GOOD EXPLAINING PLEASE
please help thank you!!!
Answer:
y = -180 + 3x
Step-by-step explanation:
Because AB = AC -> ABC is a isosceles triangle -> B = C
Because AB = BD -> ABD is an isosceles triangle -> A = D -> x = D
We have ADB + ADC = 180 -> x + ADC = 180 -> ADC = 180 - x (1)
We have x = D, and BAD + ADB + ABD = 180 -> ABD = 180 - 2x but B = C -> C = 180 - 2x (2)
With (1) and (2) We have DAC + ACD + ADC = 180
-> y + 180 -2x + 180 -x = 180
-> y + 360 - 3x = 180
-> y = -180 + 3x
Answer:
y=3x-180
Step-by-step explanation:
Above working is my step by step solution. Thank you.
Marcus was training for a 2,000 meter race. He had to alternate between running and walking.
Problem
If Marcus ran 1,600 meters, which statement is true?
Answer:
if marcus ran 1,600 meters that means he walked 400 meters
Step-by-step explanation:
Evaluate the expression shown below and write your answer as a fraction in simplest form.
Answer:
1/42
Step-by-step explanation:
4/7 - 23/42 = 24/42 - 23/42 = 1/42
The table shows values for Variable A and Variable B.
Use the data from the table to create a scatter plot.
(TABLE IS IN PICTURE ATTACHED BELOW)
hopefully this helps!
(02.02 MC)
Tim mixed 2 parts vinegar and 5 parts water to make a cleaning liquid. How many parts of vinegar did Tim mix with each part of water?
one over ten
one over five
two over seven
two over five
Answer:
2/5 or two over five
Step-by-step explanation:
2:5
Divide each by 5
2/5 : 1
2/5 * 1
2/5
Answer: 2 over 7
Step-by-step explanation:
2/(2+5) = 2/7
What is 27/40 as a decimal? Explain how you got your answer.
Please Help!!
A) vertical angles
B) complementary angles
C) supplementary angles
D) none of the above
The table shows the way students travel to school at Peace Middle School.
Transportation Number of students
Bike 21
Walk 27
Bus 45
Car 10
Select the true statement about the information in the table.
Choose all answers that apply:
Answer:
PLZ MARK ME BRAINLIEST.
Step-by-step explanation:
Number Of Students who go to School by Walk = 27
Number Of Students who go to School by Bus = 45
Ratio of Student who go to School by Walk : Bus = 27 : 45
=> Ratio of Student who go to School by Walk : Bus = 3 : 5
Hence Ratio of Student who walk to students who ride the Bus is 3 : 5 is correct - True Statement
Number Of Students who go to School by Bike = 21
Number Of Students who go to School by Walk = 27
Ratio Bike : Walk = 21 : 27
=> Bike : Walk = 7 : 9
Hence for Every 7 Students who Bike there are 9 students who walk
=> For Every 7 Students who Bike there are 8 students who walk is not Correct
Please solve A sloth moves at a rate of 6 feet per minute. The results are recorded in the table below.a) Determine whether the distance the sloth moves is proportional to the time it moves by graphing on the coordinate plane. Explain your reasoning.b) Write an equation for the line.
Answer:
A) Yes, it is proportional since on the table, 1 minute is 6 feet, 2 minutes is 12 feet and if you divide both 2 and 12 by 2 then you get 1 and 6.
the slope is 6, y=6x
B) y=6x
Step-by-step explanation:
find the first four terms and the tenth term
a) 3n^2
Step-by-step explanation:
3n^2
First term => n=1 => 3(1)^2 =>3
Second term => n=2 => 3(2)^2 =>3x4=12
Third term => n=3 => 3(3)^2 =>3x9=27
Fourth term => n=4 => 3(4)^2 =>3x16=48
Tenth term => n=10 => 3(1)^2 =>3x10=300
Answer:
{3, 12, 27, 48, 300}
Step-by-step explanation:
For the first four terms, n = {1, 2, 3, 4}. For the tenth, n = {10}.
Then, applying the formula a(n) = 3n^2 to n = {1, 2, 3, 4, 10}, we get:
{3(1)², 3(2)², 3(3)², 3(4)², 3(10)²} = {3, 12, 27, 48, 300}
PLEASE HELP Which of the following statements correctly describes the counting principle?
The counting principle lets you multiply the number of options per category to find the total number of possible outcomes.
The counting principle lets you subtract the number of options per category to find the total number of possible outcomes.
The counting principle lets you divide the number of options per category to find the total number of possible outcomes.
The counting principle lets you add the number of options per category to find the total number of possible outcomes.
Answer:
The counting principle lets you multiply the number of options per category to find the total number of possible outcomes.
Step-by-step explanation:
So the first one.
Answer:
The counting principle lets you multiply the number of options per category to find the total number of possible outcomes.
Step-by-step explanation:
So the first one.
State if is they are functions or not by filling in the blanks yes or no.
For a function, each x term must correspond to exactly one y term. We can use the vertical line test to determine whether or not that holds true for the following 6 graphs. If each x term corresponds to exactly one y term, then any vertical line that we draw on the graph should hit the graph at only one point.
1. We can't draw a vertical line that hits the graph at more than one
point so this relation must be a function.
2. We can draw many vertical lines that will hit the graph at more than one point. Thus, we can conclude the graph shown here is not a function.
3. We can't draw a vertical line that hits the graph at more than one
point so this relation must be a function.
4. We can't draw a vertical line that hits the graph at more than one
point so this relation must be a function.
5. We can draw many vertical lines that will hit the graph at more than one point. Thus, we can conclude the graph shown here is not a function.
6. We can draw many vertical lines that will hit the graph at more than one point. Thus, we can conclude the graph shown here is not a function.
Answer:
yeah the other person is correct
Step-by-step explanation:
lets evaluate (3^6)^1/2
step by step.
Answer:
27Step-by-step explanation:
[tex]\bigg(3^6\bigg)^{\frac{1}{2}}[/tex]
use
[tex](a^n)^m=a^{n\cdot m}[/tex]
[tex]\bigg(3^6\bigg)^{\frac{1}{2}}=3^{6\cdot\frac{1}{2}[/tex]
simplify
[tex]6\!\!\!\!\diagup^3\cdot\dfrac{1}{2\!\!\!\!\diagup_1}=3\cdot\dfrac{1}{1}=3\cdot1=3[/tex]
other
[tex]6\cdot\dfrac{1}{2}=\dfrac{6\cdot1}{2}=\dfrac{6}{2}=3[/tex]
therefore
[tex]\bigg(3^6\bigg)^{\frac{1}{2}}=3^{6\cdot\frac{1}{2}}=3^3=\underbrace{3\cdot3\cdot3}_{3}=27[/tex]
[tex]\displaystyle\bf \boldsymbol{\boxed{(a^n)^m=a^{n\cdot m}}} \\\\(3^6)^{\frac{1}{2}} =3^{\frac{6}{2} }=3^3=\boldsymbol{{\boxed {27}}}[/tex]
HELP ASAP I WILL MARK BRAINLIEST AND GIVE POINTS!!!!!! (FAKE ANSWERS REPORTED)
The following figures are not drawn to scale but AB and CD if present) are straight lines. Find x:
Answer:
x=60
Step-by-step explanation:
y=x
90-30=y
60=y
x=60
What is the format of this proof? Given: ∠ABC is a right angle, ∠DBC is a straight angle Prove: ∠ABD is a right angle
Answer:
Step-by-step explanation:
abd
Need Help Please with q2 & q4!!
Question 2: ARITHMETIC SEQUENCES AND SERIES
Tamara has decided to start saving for spending money for her first year of college. Her money is currently in a large suitcase under her bed, modeled by the function s(x) = 450. She is able to babysit to earn extra money and that function would be a(x) = 6(x − 2), where x is measured in hours. Explain to Tamara how she can create a function that combines the two and describe any simplification that can be done.
Question 4: GEOMETRIC SEQUENCES
Tommy has $350 of his graduation gift money saved at home, and the amount is modeled by the function h(x) = 350. He reads about a bank that has savings accounts that accrue interest according to the function s(x) = (1.04)^x−1. Explain how Tommy can combine the two functions to model the total amount of money he will have in his bank account as interest accrues after he deposits his $350. Justify your reasoning.
Answer:
Question 2: The first function represents the amount of money she'll have from her 450 under her bed.
s(x) = 450
The second function represents the amount of money she'll earn from babysitting per hour (x):
a(x) = 6(x - 2)
To figure the combined amount, we can add the two functions:
f(x) = s(x) + a(x)
f(x) = 450 + 6(x - 2)
From there, she can simplify the function by distributing, then combining the like terms to simplify:
f(x) = 450 + 6x - 12
f(x) = 438 + 6x
Answer:
f(x) = 438 + 6x
Question 4: His functions are;
h(x)=$350
s(x)=(1.04)^x-1
To find total amount of money in Tommy's account using the functions above, we substitute the first equation x=$350 in the second function.
Please help will give brainliest
Answer:
B) 28 inches.
Step-by-step explanation:
After 1/8 of a ribbon is thrown away, the remaining part is cut into two pieces whose lengths are in the ratio 4 : 5.
And we want to find the length of the shorter ribbon from the two remaining pieces.
We are given that 9 inches of the original ribbon was thrown away. Since this is 1/8 of the total length, we can write that:
[tex]\displaystyle \frac{1}{8}L=9[/tex]
Where L represents the total length of the ribbon.
Solve for the total length:
[tex]\displaystyle L=72\text{ inches}[/tex]
So, the original length of the ribbon was 72 inches.
Since we threw away 9 inches of it, we now only have 63 inches.
This is then cut into two pieces in a ratio of 4 : 5. Let x represent the constant. Thus:
[tex](4x)+(5x)=63[/tex]
Solve for x:
[tex]9x=63\Rightarrow x=7[/tex]
Hence, the two remaining ribbons measure 28 inches and 35 inches.
Therefore, our answer is B.