Answer:
1. [tex]Expression: 3(5a + 2)[/tex]
2. [tex]Total\ charges = 6.25(s+g)[/tex]
3. [tex]Total = 65x + 18 + 65y[/tex]
4. Michelle
5. 20 friends
6. Thor
8. [tex]x\leq 5[/tex]
9. [tex]x + x + 5 = 32[/tex]
10. [tex]7n + 9 \leq 44[/tex] so: [tex]n \leq 5[/tex]
11. [tex]40 + 5n \leq 70[/tex] So: [tex]n \leq 6[/tex]
12. [tex]10.01 p + 9.96 \leq 50[/tex] so [tex]p \leq 4[/tex]
Step-by-step explanation:
1. Given
[tex]Expression: 15a + 6[/tex]
Required
Determine the equivalent expression
[tex]Expression: 15a + 6[/tex]
Expand:
[tex]Expression: 3 * 5a + 3 * 2[/tex]
Factorize:
[tex]Expression: 3(5a + 2)[/tex]
Hence, the equivalent expression of the given expression is [tex]3(5a + 2)[/tex]
2.
Given
[tex]Charges = \$6.25[/tex]
s = seventh grade students
g = eight grade students
Required
Determine the total charges
First, we need to calculate the total number of charges:
[tex]Total=s+g[/tex]
[tex]Total\ charges = Charges * Total[/tex]
[tex]Total\ charges = 6.25(s+g)[/tex]
3. Given
Ken
[tex]Duration = x\ weeks[/tex]
[tex]Extra\ Earnings = \$18[/tex]
[tex]Weekly\ Earnings = \$65[/tex]
Paul
[tex]Weekly\ Earnings = \$65[/tex]
[tex]Duration = y\ weeks[/tex]
Ken's total charges is:
[tex]Weekly\ Earnings * Duration + Extra\ Earnings[/tex]
[tex]65 * x + 18[/tex]
[tex]65x + 18[/tex]
Paul's total charges is:
[tex]Weekly\ Earnings * Duration[/tex]
[tex]65 * y[/tex]
[tex]65 y[/tex]
[tex]Total = Ken + Paul[/tex]
[tex]Total = 65x + 18 + 65y[/tex]
4.
To calculate the percentage, we simply divided the number of pop albums by the total number of albums.
For Michelle.
[tex]\%Pop = \frac{33}{60} * 100\%[/tex]
[tex]\%Pop = \frac{3300\%}{60}[/tex]
[tex]\%Pop = 55\%[/tex]
For Sasha
[tex]\%Pop = \frac{36}{78} * 100\%[/tex]
[tex]\%Pop = \frac{3600\%}{78}[/tex]
[tex]\%Pop = 46.2\%[/tex]
For Kat:
[tex]\%Pop = \frac{40}{89} * 100\%[/tex]
[tex]\%Pop = \frac{4000\%}{89}[/tex]
[tex]\%Pop = 44.9\%[/tex]
For Monica:
[tex]\%Pop = \frac{24}{59} * 100\%[/tex]
[tex]\%Pop = \frac{2400\%}{59}[/tex]
[tex]\%Pop = 40.7\%[/tex]
From the calculation above, Michelle has the highest percentage of Pop music
5.
[tex]People = 80[/tex]
[tex]Fortnite = 0.55[/tex]
[tex]Among\ Us = 30\%[/tex]
Required
Determine number of friends that prefer fortnite more than among us
First, we need to calculate the number of people that prefer Fortnite.
[tex]Fortnite = 0.55 * 80[/tex]
[tex]Fortnite = 44[/tex]
Next, we need to calculate the number of people that prefer Among Us.
[tex]Among\ Us = 30\% * 80[/tex]
[tex]Among\ Us = 24[/tex]
The difference is:
[tex]Difference = 44 - 24[/tex]
[tex]Difference = 20[/tex]
Hence, 20 more people preferred Fortnite to Among Us
6.
[tex]Hulk = 0.25[/tex]
[tex]Iron\ Man = 12[/tex]
[tex]Thor = 35\%[/tex]
Captain America cleaned the rest
[tex]Total = 60[/tex]
Number of cities by each is:
[tex]Hulk = 0.25 * 60[/tex]
[tex]Hulk = 15[/tex]
[tex]Iron\ Man = 12[/tex]
[tex]Thor = 35\%[/tex]
[tex]Thor = 35\% * 60[/tex]
[tex]Thor = 21[/tex]
[tex]Captain\ America = 60 - 15 -12 - 21[/tex]
[tex]Captain\ America = 12[/tex]
By comparison, Thor cleaned the highest number of cities
7. This question is not clear
[tex]Total = \$70[/tex]
[tex]Glass = \$30[/tex]
[tex]Each\ Cape = \$8[/tex]
Let the number of cape be x.
We have that:
[tex]8 * x + 30 \leq 70[/tex]
[tex]8 x +\leq 70 - 30[/tex]
[tex]8 x +\leq 40[/tex]
[tex]x\leq 5[/tex]
9.
Let the first number be x and the second be y
[tex]x + y = 32[/tex]
[tex]y = x + 5[/tex]
Substitute x + 5 for y in the first equation
[tex]x + x + 5 = 32[/tex]
10.
[tex]Savings = \$9[/tex]
Earnings = $7 per hous
Total = $44
The inequality is:
[tex]7 * n + 9 \leq 44[/tex]
[tex]7n + 9 \leq 44[/tex]
[tex]7n \leq 44 - 9[/tex]
[tex]7n \leq 35[/tex]
[tex]n \leq 5[/tex]
11.
Earnings = $40
Extra = $5 per lasso
Total Earnings = At least $70 daily
The inequality is:
[tex]40 + 5n \leq 70[/tex]
[tex]5n \leq 70 - 40[/tex]
[tex]5n \leq 30[/tex]
[tex]n \leq 6[/tex]
12.
[tex]Each\ Cake = \$0.01[/tex]
[tex]Shipping = \$9.96[/tex] per order
[tex]Available = \$50[/tex] --- maximum
The inequality is:
[tex]10.01 * p + 9.96 \leq 50[/tex]
[tex]10.01 p + 9.96 \leq 50[/tex]
[tex]10.01 p \leq 50 - 9.96[/tex]
[tex]10.01 p \leq 40.04[/tex]
[tex]p \leq 4[/tex]
Solve:
5y + 3y +1+1 = 2y + 6y +6 +2
Answer:
0=6
There are no solutions to this answer.
Step-by-step explanation:
Answer:
There is no solution.
Step-by-step explanation:
AYYYY HOLMES 100 POINTS BOISSS
Answer:
1) A
2) B
3) D
4) B
Step-by-step explanation:
1) Because 1 mile is 5280 feet one half of the proportion has to be 1/5280. The other half is 5/x
2) Multiply 1/2 * (10/2.5). This gets you 2
3) First find 4.5% of 545.00 (Multiply 545*.045) This gets you 24.525. Add this to 545, and you get 569.525. This can be rounded to $569.53
4) There seem to be 5 players for each coach. If there are 80 players, divide 80 by 5 to get the number of coaches. The final answer is 16
Answer:
1.) A.- [tex]\frac{5}{x}[/tex]
2.) B.- 2
3.) D.- 569.53
4.) B.- 16
Step-by-step explanation:
-1.) His placement needs to be the denominator To be counted, Only Option "A." Has his value
-2.) Pints = 0.125-US liquid Gallon- For 10 gallons of gas he would need 2 Pints
-3.) Bringing 545.00 up by 45% Would leave us with- 569.53
-4.) We would need 16 couches for 80 softball players
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".
Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.
Proportions are the same ratios written in different forms. A proportional relationship is states that they are the same. For example, 1/2 and 6/12 have a proportional relationship, which means they are the same. I hope this helps!!
There are ten toppings available to make an ice
cream sundae. How many ways can Max choose
two?
Answer:
There will be 56 possible combinations if he is allowed to choose the same topping twice.
There will be 47 if he is not allowed to choose the same topping twice.
Step-by-step explanation:
Number of ways max choose two are 45
What are combinations?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of both the selection is irrelevant. You can choose the components of combos in any order;
Permutations and combinations can be mixed up. The sequence in which the chosen components are chosen is crucial in permutations, too. For instance, the configurations ab and ba are distinct in permutations but equivalent in combinations (regarded as one arrangement);
Given;
Toppings available to make an ice cream sundae = 10
The number of ways can Max choose 2;
= 10C2
=10! / [(10-2)! X 2!]
=45
Therefore, Max can choose toppings is 45 by combination
Learn more about combinations here:
brainly.com/question/295961
#SPJ2
what is the difference of the fractions? use the number line to help find the answers. 4/7 - 10/7
Answer:
This means that the fraction 3/4 is 3 out of 4 equal parts. So, count 3 parts from 0 and you will get 3/4. That's it! You've shown the fractions 1/4 and 3/4 on a number line!
Step-by-step explanation:
It is.
Answer:
This means that the fraction 3/4 is 3 out of 4 equal parts. So, count 3 parts from 0 and you will get 3/4. That's it! You've shown the fractions 1/4 and 3/4 on a number line!
Step-by-step explanation:
The math is just correct
Louis owns a rectangle price of property with an area of 1 3/4 square miles. The length of the property is 2 1/3 miles. What is the width of the property?
Answer:
1/4
Step-by-step explanation:
Divide the area by the length and you will find the width.
Describe the graph of x > 2 and x < 5
Answer:
y=(x−5)2
The graph of y is the standard parabolic, concave up curve of y=x2 shifted ("transformed") by 5 units right ("positive") on the x−axis,
The graph of y is shown below.
graph{(x-5)^2 [-10, 10, -5, 5]}
Answer:
I'm prettyy sure you already figured this out knowing you, so thanks;)
Step-by-step explanation:
A child’s wading pool has a diameter of 5 feet and a height of 2 feet. How much water would it take to fill the pool?
Answer:
12.5π or ≈39.27
Step-by-step explanation:
The formula for finding the volume is V=πr^2*d (where h is the height and r is the radius).
Plug in the values: V=π(2.5)^2*2 (Diameter=2*Radius)
Solve: V=6.25π*2
V=12.5π
V≈39.27
Will give brainlist to who finds this out!
Answer:
1
2
4
Step-by-step explanation:
Answer:
[tex]\sqrt{1}, \sqrt{4}, \sqrt{9}[/tex]
Step-by-step explanation:
First, remember that rational numbers either terminate or have repeating decimals. Those three are the only answers with perfect squares, [tex]\sqrt{1} = 1, \sqrt{4} = 2, \sqrt{9} = 3[/tex]. As you can see all of these answers terminate and therefore are rational, the rest go one forever while never repeating.
20POINTS WILL MARK BRANLIEST PLSS
The layout of a city park is pictured in the figure above. Park managers would like to find the distance of segment DE, in order to build a walkway across the middle of the park. The park managers look up the distance of segments BC and AB in the city records. If the length of segment AB is determined to be 562 feet, what is the distance of mid-segment DE in feet?
Select one:
A. 220
B. 244
C. 276
D. 281
The original quantity is 5 and the new quantity is 3. What is the percent change?
Answer:
Step-by-step explanation:
Percentage change= New number/ original x 100
3/5=0.6
0.6 x 100= 60%
100-60=40%
How to solve
2(-3x + 4) = 5x + 2
Answer:
x = 6/11
Step-by-step explanation:
2(-3x + 4 ) = 5x + 2
-6x + 8 = 5x + 2
- 2 - 2
-6x + 6 = 5x
+6x +6x
6 = 11x
/11 /11
6/11 = x
In 2007, the average e-mail user sent 578 personal and business e-mails each week. The number of personal e-mails was 30 fewer than the number of business e-mails. How many personal e-mails were sent?
Answer:
548
Step-by-step explanation:
it would be 578 - 30 which equals 548
Help Lesson 11 & 12: A shop sells bagels for $5 per dozen. At this rate, how much would 6 bagels cost? Your answer is a dollar amount, so it must have a number to the left of the decimal and two numbers to the right of the decimal. (Example: $5.50 would be entered as 5.50) *
What is the formula for the area of a square?
Answer:
Area of a square = side times side. Since each side of a square is the same, it can simply be the length of one side squared. If a square has one side of 4 inches, the area would be 4 inches times 4 inches, or 16 square inches. (Square inches can also be written in2.)
Answer:
lxwxtor you can up it in the calculator
These two triangles are similar. What are a and b? Note: the two figures are not drawn to scale. Please help with this!!!
9514 1404 393
Answer:
a = 6b = 22.5Step-by-step explanation:
The ratio of smallest sides in the two triangles is ...
smaller / larger = 4/10
To find A and B, we write proportions involving corresponding side lengths.
__
Side A in the smaller triangle is ...
A/15 = 4/10
A = (4/10)(15) = 6
__
The ratio of larger to smaller is the inverse of the above ratio, so ...
B/9 = 10/4
B = (10/4)(9) = 22.5
8 1/3 divided by 5 5/7
In simplest form
Answer:
35/24
Step-by-step explanation:
8 1/3= 25/3 5 5/7= 40/7
(25/3) divided by (40/7) is equal to (25/3) x (7/40) using Keep Change Flip (KCF) where you keep the initial value, switch the sign from dividing to multiplying, and then flip the other value. Then, multiply across to get 175/120 which simplifies to 35/24.
HELP AND YOU WILL GET BRAINLIEST!!!!!!!!
4 liters of oil cost $10.00. Find the cost per liter of oil.
Group of answer choices
$2.00
$3.00
$10.00
$2.50
$400
Answer: $2.50
$10.00 per 4 liters
10/4=2.5
I hope this is good enough:
Answer: because i just want points and 1 +2= 3
Step-by-step explanation: because if u add 2 with 1 u will get 3
I put it at 50 pts because it will take a while plz help me
Answer:
well i am not that smart sorry i really wish i could help but i know one of the things
Step-by-step explanation:
3. what causes wind
Gases move from high-pressure areas to low-pressure areas. And the bigger the difference between the pressures, the faster the air will move from the high to the low pressure. That rush of air is the wind we experience.
sorry it took so long for me to type it
hope you have a good day sir/ma'am!!!
Three times one number is equal to two times the larger one and their difference is 1. What are the numbers?
Answer:
Y=3
X=2
Step-by-step explanation:
i need help plzzzzzzzzz
Answer:
1 2 5 . 6 9
1 2 5 . 6 7 0
125.69 Would be Greater.
Step-by-step explanation:
First number to the right of the decimal is the tenths place 2nd number would be hundredths and you'd increase etc.
Which equation represents a lineThat passes through (-2, 4) and has a slope of 2/5
Answer:
-2,4
Step-by-step explanation:
Find the Y intercept of the graph
Answer:
6
Step-by-step explanation:
The intercept would be 6 because that's the point on the Y line or the line going vertically.
Answer:
6
Step-by-step explanation:
Hello!
The y-intercept of the graph is when the graph touches the y-axis.
As you can see the graph intersects the y-axis at point (0,6), indicating the y-intercept of the graph to be 6.
y - intercept: 6The x-intercepts of the graph are when the graph intersects the x-axis. There are three roots for the graph: -1, -3 and 2.
Iwefwegweg weg ewgwewegw egwe gwe gwe weg weg w
Answer:
gweew gshbx
Step-by-step explanation:
question below please answer
Answer:
the awenser is D
Step-by-step explanation:
took the test lolz
In AGHI, the measure of
Answer:
yes
Step-by-step explanation:
A manufacturer wants to produce an ice cream cone with the same volume and diameter of a spherical scoop of ice cream 6cm in diameter. What should the height of the cone be?
Answer:
IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?
Step-by-step explanation:
IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?
Answer: HEY NIKHIL GARG MR. FORTNITE BATTLE ROYALE THE ANSWER IS 12
Step-by-step explanation:
TRUST BRO IF THE HEIGHT IS 12 THEN ITLL HAVE THE SAME VOLUME AS THE SPHERE, WHICH IS 36 PI
E 4) In the diagram below, the dimensions of the large rectangle are (3x-1) by (3x+7) units. The dimensions of the cut-out rectangle are x by (2x+5) units. Which choice expresses the area of the shaded region, in Square units?
Answer:
Option (D)
Step-by-step explanation:
Area of a rectangle = Length × width
Area of large rectangle = (3x - 1)(3x + 7) square units
= (9x² + 21x - 3x - 7)
= 9x² + 18x - 7
Area of small rectangle = (2x + 5)x
= (2x² + 5x) square units
Area of the shaded region = Area of large rectangle - Area of small rectangle
= (9x²+ 18x - 7) - (2x² + 5x)
= (9x² - 2x²) + (18x - 5x) - 7
= (7x² + 13x - 7) square units
Therefore, Option (D) will be the correct option.
The expression that represents the area of the shaded region is:[tex]7x\² + 13x - 7[/tex]
The dimension of the big rectangle is given as:
Length: 3x - 1Width: 3x + 7So, the area of the rectangle is:
[tex]Area = Length \times Width[/tex]
[tex]Area= (3x - 1) \times (3x + 7)[/tex]
Expand
[tex]Area = 9x\² + 21x - 3x - 7[/tex]
[tex]Area = 9x\² + 18x - 7[/tex]
The dimension of the small rectangle is given as:
Length: 2x + 5Width: xSo, the area of the rectangle is:
[tex]Area = Length \times Width[/tex]
[tex]Area= (2x + 5) \times x[/tex]
Expand
[tex]Area = 2x\² + 5[/tex]
The area of the shaded region is the difference between the area of the big and small rectangles.
So, we have:
[tex]Area = (9x\²+ 18x - 7) - (2x\² + 5x)[/tex]
Expand, and collect like terms
[tex]Area = 9x\²- 2x\² + 18x -5x- 7[/tex]
[tex]Area = 7x\² + 13x - 7[/tex]
Hence, the area of the shaded region is [tex]7x\² + 13x - 7[/tex]
Read more about areas at:
https://brainly.com/question/24487155
The probability of two events A and B happening simultaneously is 0.17. The probability of only event A happening is 0.34. Find the probability of event B happening, if event A has already happened
Answer:
because is the probability is 0.17 and 0.34 is fair
You can use the multiplication rule of probability.
The probability of event B happening if event A has already happened is 0.5
What does general multiplication rule of probability says for 2 events A and B?[tex]P( A \: \rm and \: B) = P(A)P(B|A) = P(B)P(A|B)[/tex]
Since we've to find the probability of B given that A has already happened, we need [tex]P(B|A)[/tex]
Since the probability of both event A and event B happening simultaneously is 0.17, thus:
[tex]P(A \: \rm and \: B) = 0.17\\
[/tex]
Since the probability of only event A happening is 0.34, thus:
[tex]P(A) = 0.34[/tex]
Thus, from the multiplication rule, we have:
[tex]P(A \: \rm and \: B) = P(A)P(B|A)\\
0.17 = 0.34 \times P(B|A)\\\\
\dfrac{0.17}{0.34} = P(B|A)\\\\
P(B|A) = \dfrac{1}{2} = 0.5[/tex]
Thus, we have the probability of event B happening when A has already happened as 0.5
Learn more about multiplication rule of probability here:
https://brainly.com/question/14450597
Solve for x
2x+5 = 32
Answer:
x=13.5
Step-by-step explanation:
Perform the same operation on each side:
2x+5 = 32
2x = 27
x = 13.5
So, x is 13.5
How far does the tip of the minute hand of a clock move in 20 minutes if the hand is 10 inches long?
Answer:
20.95 inches
Step-by-step explanation:
The complete revolution of the minute hand forms a circle in 60 minutes.
circumference of a circle = 2[tex]\pi[/tex] radius
i.e C = 2[tex]\pi[/tex]r
But from the question, r = length of the minute hand = 10 inches
⇒ C = 2[tex]\pi[/tex] x 10
= 20[tex]\pi[/tex]
C = 20[tex]\pi[/tex] inches
Also, 20 minutes = [tex]\frac{20 minutes}{60 minutes}[/tex] = [tex]\frac{1}{3}[/tex] of the circumference.
So that,
the distance of the tip of the minute hand = [tex]\frac{1}{3}[/tex] x C
= [tex]\frac{1}{3}[/tex] x 20[tex]\pi[/tex]
= [tex]\frac{1}{3}[/tex] x 20 x [tex]\frac{22}{7}[/tex]
= 20.9524
= 20.95 inches
Thus, the distance of the tip of the minute hand is 20.95 inches
