Answer:
51.3 packets or 51 1/3 packers
Step-by-step explanation:
From the above question:
The board he needs comes in packs of three. This means
1 pack = 3 boards
Hence:
3 boards = 1 packet
154 boards = x
Cross Multiply
3x = 154
x = 154/3
x = 51.333333333 packets
Approximately = 51.3 packets or 51 1/3 packers
The builder will need to buy 51.3 packets or 51 1/3 packers
A coin has heads on one side and tails on the other. The coin is tossed 50 times and lands
heads up 19 times. How does this frequency compare to the expected frequency based on
the probability of the coin landing with heads up?
Answer: A “The Frequency is 31 lower than expected.”
Step-by-step explanation:
The frequency is 12 fewer than expected.
What is relative frequency?Relative frequency or experimental probability is calculated from the number of times an event happens, divided by the total number of trials in an actual experiment.
The experimental relative frequency at which the coin lands heads up is [tex]\frac{19}{50}[/tex] or 0.38.
If the coin were a fair one, we would expect that it had heads up 25 out of 50 times, which would be a relative frequency of 0.50.
Since this is not happening, we conclude that the coin is NOT a fair one.
Expected frequency = 0.50
Experimental relative frequency = 0.38
= 0.50 - 0.38
= 0.12 or 12 %
Hence, the frequency is 12 fewer than expected.
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Rhion sat maths and English test
In the maths she scores 14 out of 17
In th english test she scored 31 out of 39
which one did she do better.
Answer:
Rhion did better in maths test.
Step-by-step explanation:
Given that:
Rhion scored 14 out of 17.
We will find percentage and then compare them.
Percentage = [tex]\frac{Score}{Total\ marks}*100[/tex]
Percentage = [tex]\frac{14}{17}*100[/tex]
Percentage = 82.35%
Rhion scored 31 out of 39.
Percentage = [tex]\frac{31}{39}*100[/tex]
Percentage = 79.48
On comparing,
82.35 > 79.48
Hence,
Rhion did better in maths test.
Multiple Choice: What method can be used to prove the triangles below are congruent? * Angle Side Angle (ASA) Angle Angle Side (AAS) Option 1 Option 2 Not Congruent Hypotenuse Leg (HL)
Answer:
angle side angle
Step-by-step explanation:
ASAP pls pls pls pls pls pls
Answer:
D is the answer.
[tex]16x {}^{2} - 81 = 0 \\ (4x - 9) \times (4x + 9) = 0 \\ [/tex]
[tex]4x - 9 = 0 \\ 4x = 9 \\ x = \frac{9}{4} \\ or \\ 4x + 9 = 0 \\ 4x = - 9 \\ x = - \frac{9}{4} [/tex]
A cat chased after a dog for l mile, and then stop to rest. As soon as the cat sotped,the dog chased after the cat for 1500 yard back towards their starting point. How many yards were the ainmals for her starting point?
Answer:
0.14768 mile
Step-by-step explanation:
Given that:
Distance at which cat chased dog = 1 mile ; hence they've moved 1 mile from their starting position
Distance for. Which dog chased cat =. 1500 yards towards starting position
Converting miles to yards
1 mile = 1760 yards
1 yard = 0.000568 mile
Number of miles the animals are from Their starting position :
1760 yards - 1500 yards = 260 yards
260 * 0.000568 = 0.14768 mile
Judy's heart beats 70 times a minute. At this rate, how many times does her heart beat in an hour?
Answer:
4,200 hbph
Step-by-step explanation:
Hope this helps and have a great day!!!
Answer:
4200 times
Step-by-step explanation:
If there is 70 beats in a minute, and 60 minutes in an hour. All you do is 70*60.
Sara went shopping. She bought six oranges at $0.25 each, two apples at $0.40 each, three plums at $0.18 each. She gave the cashier $5.00. How much change will Sara receive from the $5.00?
Answer:
$2.16
Step-by-step explanation:
Amount of change received
= $[5.00-0.25(6)-0.40(2)-0.18(3)]
= $(5.00-1.50-0.80-0.54)
= $2.16
Need help on this asap please
Answer:
the second one
so B
Step-by-step explanation:
Answer:
3.15=315% is true
Step-by-step explanation:
The last one D is true
I hope this helps. Best of luck
what is 4.8 × d = 1.2
Answer:
0.25
Step-by-step explanation:
1.2 divide by 4.8=0.25
0.25*4.8=1.2
5 = .25
4.8 x .25 = 1.2
State the domain: x^2 +16x+64
Answer:
All real numbers
Step-by-step explanation:
x² + 16x + 64 is a parabola that opens up, when graphed.
This means it will have a U shape that will infinitely extend outwards in both directions, across the x axis.
So, the domain will include all real numbers.
Marta walked at 2.7 miles per hour for 0.93 hours. How far did she walk?
Answer:
Hello, hope you had a good day your, answer is 2.511 Miles.
Step-by-step explanation:
so first lets take 2.7/100 = .027
then take .027 times 93 which gives you 2.511.
You must be at least 42 inches tall to ride the bumper cars at an amusement park. Write an inequality that represents this situation. Let x represent the heights of people who are allowed to ride the bumper cars.
Answer:
x ≥ 42
Step-by-step explanation:
If you must be at least 42 inches tall to ride the bumper cars at an amusement park, this means that the minimum average height you can have is 42in i.e you can be more than 42inches tall.
The right inequality sign to represent this situations is a "greater than or equal to sign"(≥)
If x represent the heights of people who are allowed to ride the bumper cars, the required inequality expression will be x ≥ 42
I just learned this kind of confused :(
Answer:
9.4247
Step-by-step explanation:
c= πd, c=(3.14)d , 3 is the diameter so we put it in the d spot. So c=(3.14)3 and you multiply those together to get the circumference.
the difference of a number t and 9
t-9 or 9-t
Find the sum:
The blanks r subtraction signs
Answer:
[tex]8x^2+6x-17[/tex]
Step-by-step explanation:
All that we have to do is add the 3 and 5 so it's basically like combining like terms. So the first blank is 8.
Now we add the x and the 5x which is 6x, all we're doing is adding the x's.
Now we do add the two negative 10 and 7. So what is -10 + - 7 we add them normally but we'll still have the negative in front of them. So it's -17.
what is thirty five percent
Answer:
i dont know what you need 35% as but..
Step-by-step explanation:
Decimal : 0.35
Fraction: 7/20
6. Create an equation and solve for n.
5n - 11
Answer:
11-n=5
Step-by-step explanation:
If you could help I would really appreciate it, but if not that’s fine. Thank you.
Answer:
Option C is correct answer.
Step-by-step explanation:
We need to draw the graph of piece wise function
[tex]f(x)\[ \begin{cases} -2-x & if\:x\leq 1 \\ -3+2x & if\: x>1 \end{cases}\][/tex]
So, for drawing the graph, we will find values of f(x) for both the given equations.
First finding f(x) for [tex]-2-x \:\: if\:x\leq1[/tex]
The value of x must be less than or equal 1
x f(x)
1 -3
0 -2
-1 -1
-2 0
-3 1
-4 2
The graph will start from closed circle because x ≤ 1
Now, finding values of f(x) for [tex]-3+2x\: if\:x>1[/tex]
The value of x must be greater than 1
x f(x)
2 1
3 3
4 5
5 7
The graph will start from open circle because x> 1
Now, plotting these numbers we will get graph of Option C.
Option C is correct answer.
can someone PLEASE help me find z and x !! (i will mark you brainliest)
Answer:
X=24 Z=110
Step-by-step explanation: correct me if im wrong because im not 100% sure.
Answer:
z=110° and x=24°
Step-by-step explanation:
z°=(5x-10)°[Being the pair of vertically opposite angle]
z+70°=180[Being the pair of straight angle]
or, z=180-70
z= 110
Again ,
z=(5x-10)°
or, 110=5x-10
or, 110+10=5x
or, 120=5x
or, 120/5=x
x=24°
MARKING BRAINLIST!!! In a couplet one statement is _____ and one is ______
A. Agreeing and rejecting
B. Deciding and Acting
C. Informing and Agreeing
The midtown middle school cheerleaders earned $175 at a car wash. If this amount is 25% of the cost of a new set of uniforms, what is the total cost for a set of uniforms?
Answer:
700
Step-by-step explanation:
multiple 175 × 4 to get to 100%
Which expression is NOT equivalent to 2.89 × 0.6?
(289 × 6) × (110 × 110)
(0.289 × 6) × (10 × 110)
(289 × 6) × (1100 × 110)
(289 × 60) × (1100 × 1100)
Answer:
(289x6)x(110x110)
Step-by-step explanation:
A computer software company models its profit with the function P(x) = -x2 + 15x – 34 where x is the number of games, in hundreds, that the company sells and P(x) is the profit, in thousands of dollars. How many games must the company sell to get $16,000 in profit?
Step-by-step explanation:
A computer software company models its profit with the function :
[tex]P(x) = x^2 + 15x -34[/tex] ....(1)
Where
x is the number of games, in hundreds, that the company sells and P(x) is the profit, in thousands of dollars.
We need to find the number of games the company sell to get $16,000 in profit.
Put P(x) = 16,000 in equation (1).
[tex]x^2 + 15x -34=16000\\\\x^2+15x-34-16000=0\\\\x^2+15x-34-16000=0\\\\x^2+15x-16034=0[/tex]
Using quadratic formula with a=1, b=15, c=-16034.
[tex]x=\frac{-15+\sqrt{15^{2}-4\left(1\right)\left(-16034\right)}}{2\left(-1\right)}, \frac{-15-\sqrt{15^{2}-4\left(1\right)\left(-16034\right)}}{2\left(-1\right)}\\\\=-119.34, 134.34[/tex]
Neglecting negative value,
No of games = 134 (approx)
Which statements about the diagram are correct? Check all that apply.
BD = 9 in.
AB = 36 in.
DC = 6 StartRoot 3 EndRoot in.
AC = 12 StartRoot 3 EndRoot in.
BC = 18 StartRoot 3 EndRoot in.
Answer:
(C)DC = 6 StartRoot 3 EndRoot in.
(D)AC = 12 StartRoot 3 EndRoot in.
Step-by-step explanation:
Cydni is working with some algebra tiles at her desk. She makes groups of tiles like the ones below. Which expressions represent the sum of the tiles that Cydni has arranged on her desk? help
Answer:
3x+9
Step-by-step explanation:
If it’s multiple choice the other one is
x +1+1+1+x +1+1+1+ x +1+1+1
I hope this helps!
20x^2/12x+8 simplified
A 2-D shape has a length of 8cm and a width of 3cm. Find the perimeter and the area.
With steps please.
Answer:
Area formula: l x w
= 8 x 3
24 cm^2
Perimeter formula: Sum of all sides
= 8+8+3+3
= 25 cm
Answer: 24cm
Step-by-step explanation:
8 multiplied by 3
PLEASE ANSWER I REALLY NEED HELP
Determine which of following points lie in the solution set of the inequality y >= 2x-4 and which do not. Justify each choice.
a) (5,4)
b) (0,1)
c) (10,16)
d) (2,-1)
The points lie on the given inequality y ≥ 2x-4 are (0,1) and (10,16)
What is inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given that an inequality y ≥ 2x-4
We need to check whether the given points lie on the solution of the inequality or not,
1) (5, 4)
Put x = 5
2×5-4 = 10-4 = 6
4 ≥ 6, this is a contradiction which means (5, 4) do not lie on the solution,
2) (0, 1)
Put x = 0
2×0 - 4 = 0-4 = -4
1 ≥ -4, satisfying the condition hence lies on the solution.
3) (10, 16)
Put x = 10
2×10-4 = 20-4 = 16
16 = 16. satisfying the condition hence lies on the solution.
4) (2, -1)
Put x = 2,
2×2-4 = 4-4 = 0
-1 ≥ 0, this is a contradiction which means (5, 4) do not lie on the solution,
Hence, points lie in the solution set of the inequality are (0,1) and (10,16)
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A circle has a radius of 5 inches. What is the circumference of the circle? Use 3.14 for pi.
Answer:
C≈31.42in
Step-by-step explanation:
Answer:
The circumference of a circle is given by
C = 2 * pi *r
C = 2 * 3.14 * 5
C =31.4 inches
If a number is tripled and then subtracted from 28, the result is 3 more than twice the number. What is the number?
A)x=5
B)x=31
C)x=6
D)x=4
Answer: x = 5
Step-by-step explanation:
Based on the information, the number is x= 5.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
Consider that the number be x.
Given that;
Tripling the number we get = 3x.
On subtraction from 28, the equation will be: 28 - 3x.
Now forming the equation for result. Twice the number will be 2x. Result = 2x + 3.
Now equating these two equations as;
28 - 3x = 2x + 3
Rewriting the equation as;
3x + 2x = 28 - 3
Now, addition on Left Hand Side and subtraction on Right and Side
5x = 25
x = 25 ÷ 5
Performing division on Right Hand Side, we get;
x = 5
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