Answer:
123,000
Step-by-step explanation:
Because if you divide the people by percent and then multiply by 100 you get your answer!
2. Roman's allowance a week is P250.75. If he will save p50.00 and
equally divide the rest into 5, how much will he spend a day?
Answer:
50.15
Step-by-step explanation:
250.75-50=200.75
200.75/5=50.15
PLEASE HELP!!!!
Earth is about 1.5 x 10^8 kilometers away from the sun. Saturn is about 1.4 x 10^9 kilometers away from the sun. How many times closer to the sun is Earth than Saturn? Give answer is standard form and round to the nearest tenth.
If you can, please explain, or just show what you did
Answer:
8.33
Step-by-step explanation:
Answer: 8.33 minutes will it take to travel from the sun to the earth. Step-by-step explanation: Distance of the Earth from the Sun = d = 1 km = 1000 m.
Answer: 9.33
Step-by-step explanation: you divide Saturn by earth
Please help im having trouble
Answer:
1) rise=4
run=6
slope=4/6 simplifies to ⅔ and make sure you put a negative sign because the gradient is decreasing so -⅔
2) rise=0
run=6
slope=0/6 or no slope because there's no increase or decrease.
3) rise=7
run=0
slope is 7/0 or undefined.
4) rise=4
run=8
slope is 4/8 which simplifies to ½ and negative sign because gradient is decreasing so -½
5) rise=6
run=3
slope is 6/3 or 2, stays positive because its increasing in the gradient.
6) slope is 1
7) slope is 2.5
8) slope is -⅓
8(b+1) = -11-3b. what is the answer
Answer:
B= -19/11 (negative 19 over 11)
Abby is filling a 100 quart dog bath using a 2 gallon bucket. how many buckets will it take to fill the dog bath?
what's 5×5+6-8 \(0\)
23
Explanation:
Expression: 5×5+6-8
we apply order of operations: BODMAS ( Bracket, Order, Division, Multiplication, Addition, and Subtraction) or PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction)
From the above, multiplication comes before addition and subtraction:
\(\begin{gathered} 5\times5+6-8\text{ = 25 + 6 -8} \\ =\text{ 31-8 } \\ =\text{ 23} \end{gathered}\)8 avocados cost 4 dollars how much is nine
Answer:
$4.50
Step-by-step explanation:
because each avocado is .50 cents.
Does the expression x^3-1 divided by x^2 -1 simplify to x?
No, the expression (x^3 - 1) / (x^2 - 1) does not simplify to x.
To simplify the expression, let's first factorize both the numerator and denominator.
The numerator can be factorized using the difference of cubes formula: a^3 - b^3 = (a - b)(a^2 + ab + b^2). So, we have (x^3 - 1) = (x - 1)(x^2 + x + 1).
The denominator is a difference of squares: a^2 - b^2 = (a - b)(a + b). Therefore, (x^2 - 1) = (x - 1)(x + 1).
Now, we can simplify the expression by canceling out the common factors in the numerator and denominator:
[(x - 1)(x^2 + x + 1)] / [(x - 1)(x + 1)]
The (x - 1) terms cancel out, leaving us with:
x^2 + x + 1 / (x + 1)
So, the simplified form of the expression is (x^2 + x + 1) / (x + 1), which is not equal to x.
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Find the height of the tower using the information given in the illustration.
using SOH CAH TOA
Tan 85.144 =h/130
h=tan 85.144*130
h=1530.19 fr
Which table represents a linear function?
(i’m trying to help my friend pass)
Answer:
if I remember I did this two days ago its was c
What rigid motion maps the solid-line figure onto the dotted-line figure?
A. reflection
Brotation
Ctranslation
The rigid motion of the solid line figure is translated to the dotted line figure.
How to find the rigid motion maps a solid line?Translation describe a function that moves an object a certain distance.
In a translation, every point of the object must be moved in the same direction and for the same distance.
In translation, the object is not resized, rotated or reflected. The object usually remains the same but it moves a certain distance.
Therefore, the rigid motion maps the solid-line figure onto the dotted-line figure by translation
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The ratio of yellow blocks to red blocks is 3:5, and the ratio of blue blocks to red blocks is 7:2.
What is the ratio of yellow blocks to blue blocks?
=========================================================
Explanation:
The ratio of yellow to red is 3:5. This could mean we have any of the following situations (pick one):
3 yellow, 5 red6 yellow, 10 red9 yellow, 15 redand so on. In general, we would have 3x yellow blocks and 5x red blocks. The ratio 3x:5x reduces to 3:5 when dividing both parts by x. The x is some positive whole number. The order is important because yellow must be listed first, then red second.
The same idea applies to the other ratio 7:2, which is the blue to red. In that case, we could have...
7 blue, 2 red14 blue, 4 red21 blue, 6 red28 blue, 8 red35 blue, 10 red42 blue, 12 redand so on. Notice that items in bold (in each list) have "10 red" as part of it. This is directly from the fact we multiply the 5 and 2 to get 5*2 = 10.
So we can connect the two ratios to have: 6 yellow, 10 red, 35 blue.
The ratio of yellow to blue is 6:35. This is the final answer. We cannot reduce this ratio any further due to 6 and 35 having no common factors other than 1. It's the same as saying the fraction 6/35 can't be reduced further.
Anthony surveys a group of students at his school about whether they play a
sport. This table shows the results broken down by gender.
Boys
Girls
Total
Play a sport
95
76
171
Do not play a
sport
45
59
104
A. Yes, they are independent, because P(girl)
a sport) ~0.62
Are being a girl and playing a sport independent events? Why or why not?
B. Yes, they are independent, because P(girl)
a sport) -0.44
Total
C. No, they are not independent, because P(girl) 0.49 and
P(girl plays a sport) ~ 0.62.
140
135
275
0.49 and Pigirl | plays
0.49 and P(girl plays
D. No, they are not independent, because P(girl)-0.49 and
Pigirl plays a sport)~0.44.
Being a girl and playing a sport are C. No, they are not independent events, because P(girl) 0.49 and P(girl plays a sport) ~ 0.62.
Let's consider the probabilities:
P(girl) = (number of girls) / (total number of students) = 135 / 275 ≈ 0.49
P(girl plays a sport) = (number of girls playing a sport) / (total number of students) = 76 / 275 ≈ 0.276
If being a girl and playing a sport were independent events, the joint probability would be the product of the individual probabilities:
P(girl) × P(girl plays a sport) ≈ 0.49 × 0.276 ≈ 0.13524
However, the actual joint probability is different from the expected value:
P(girl, plays a sport) ≈ 76 / 275 ≈ 0.276
Since the joint probability does not match the product of the individual probabilities, we can conclude that being a girl and playing a sport are not independent events based on the given data.
Therefore, option C. No, they are not independent, because P(girl) 0.49 and P(girl plays a sport) ~ 0.62. is the correct answer.
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Suppose X is a random variable with mean X and standard deviation oXSuppose Y is a random variable with mean Y and standard deviation oY. The mean of X + Y is: O a. MX+MY O b.uX/oX) + (Y /oY). O c. 1X+uY, but only if X and Y are independent.O d (uX/oX) + (Y/oY), but only if X and Y are independent.
The correct option regarding the mean of X + Y is given as follows:
a. MX+MY.
How to obtain the mean of a data-set?The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations.
Hence, when two variables are added, we can add their means, as we add all the observations and divide by the number of observations, considering the two variables.
This means that the correct option is given by option A.
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Help!!!! Please
Asap
Answer:
events at A and B are independent because P(A)(B)≠P(A)
if none of these structures will allow the flying crow to break the walnut without it being stolen, the crow must fly away to another location. given that the average crow can take off from a standing position at a speed of 19 feet per second, what should the flying crow do? explain your answer.
Answer: Based on the information given, it seems like the crow is unable to break open the walnut in its current location without it being stolen. To overcome this problem, the best solution would be for the crow to fly away to another location where it can safely break open the walnut. With a take-off speed of 19 feet per second, the crow should be able to quickly reach a new location where it can safely open the walnut.
Step-by-step explanation:
A shipment of sugar fills 6 containers. If each container holds 3 3/4 tons of sugar, what is the amount of sugar in the entire shipment?
Write your answer as a mixed number in simplest form.
Answer:
7 6/7 tons.
Step-by-step explanation:
2 1/5 containers = 11/5 containers, written as an improper fraction. Each container holds 3 4/7 tons of sugar; this capacity is 25/7, written as an improper fraction.
The product of these two numbers is 55/7 tons, or 7 6/7 tons.
Yolanda is riding in a bike race that goes through a valley and a nearby mountain range,The table gives the altitude (in feet above sea level) for the five checkpoints in the race,Use the table to answer the questions,CheckpointAltitude(feet above sea level)12,2242- 13731,5714-305218(8) How much lower is Checkpoints than check out 2909 i lower
Step 1
Write the given checkpoint altitude
Checkpoint 1 = 2224
Checkpoint 2 = -137
Checkpoint 3 = 1571
Checkpoint 4 = -39
Checkpoint 5 = -218
Step 2:
a) How much lower is checkpoint 5 than checkpoint 2
You will subtract checkpoint 5 altitude from checkpoint 2
\(\begin{gathered} =\text{ -137 - (-218)} \\ =\text{ -137 + 218} \\ =\text{ 81 f}eet \end{gathered}\)b) Altitude of the top hill that is 365 above checkpoint 5.
\(\begin{gathered} \text{Altitude of the top hill = 365 - 218 } \\ \text{Altitude of the top hill 365 above checkpoint 5 = 147} \end{gathered}\)Ronald repairs computers. He charges $25 for a house call and $24 per hour. If Ronald charges $145 for one of his jobs, including the house call, which equation can be used to find h, the number of hours he worked?
Answer:
25+24h=145
Step-by-step explanation:
A bag of peanuts costs $2.16 and a granola bar costs $1.08. A group
of 4 friends buys 3 bags of peanuts and 1 granola bar to share. They
decide to split the cost equally. How much does each friend pay?
Factor 21x^2 - 14x - 56
Answer:
7((x-2)(3x+4))
Step-by-step explanation:
Common factor of 7 in this quadratic formula. \(7(3x^2-2x-8)\); -8 * 3x^2 = -24x^2, now find factors of this product that equal to -2x when added. The factors that fit this is -6x and 4x. So, if you make a generic rectangle you can find the product. You get 7((x-2)(3x+4))
2x 10 = 2(−−)
fill in the gaps to factorise this expression
Answer:
2(x+5)
Step-by-step explanation:
2×x=2x
2×5=10
:)
Which transformation produces a similar but incongruent figure?
Similar means that the figure has the same shape, but not neccesarily the same size. It is said, also, that it is incoungruent, so it definetly doesn't have the same size. A transformation that gives you a similar but incongruent figure is a dialation, rotation and/or translation. I'll do a drawing to illustrate:
Notice that I've done the three of them. I have the same figure, smaller, in another position and rotated.
A quadratic equation, y = ax^2 - 6x + 10, has exactly one real root. Calculate the value of a.
Answer:
a = 0.9
Step-by-step explanation:
For the quadratic equation \(\boxed{ax^2 + bx + c = 0}\) to have exactly one real root, the value of its discriminant, \(\boxed{b^2 - 4ac}\), must be zero.
For the given equation:
\(y = ax^2 - 6x + 10\),
• a = a
• b = -6
• c = 10.
Substituting these values into the formula for discriminant, we get:
\((-6)^2 - 4(a)(10) = 0\)
⇒ \(36 - 40a = 0\)
⇒ \(36 = 40a\)
⇒ \(a = \frac{36}{40}\)
⇒ \(a = \bf 0.9\)
Therefore the value of a is 0.9 when the given quadratic has exactly one root.
Mary, Margaret, Ron, and Nick are to share a scholarship. Ron receives 1/3 of the scholarship; Nick gets 1/4 of the scholarship; Mary receives the same as Nick, and Margaret receives $72,000.
Find each person's share in the scholarship as well as the original scholarship amount
Thus, Ron's share is $24,000, Nick's share is $18,000, Mary's share is $18,000, and Margaret's share is $72,000.
Let's denote the original scholarship amount as "P."
According to the given information, Margaret receives $72,000, which means the remaining scholarship amount for the other three individuals is P - $72,000.
Ron receives 1/3 of the scholarship, which can be represented as (1/3)(P - $72,000). Nick receives 1/4 of the scholarship, which can be represented as (1/4)(P - $72,000). Mary receives the same as Nick, so Mary's share is also (1/4)(P - $72,000).
Now, we can sum up all the shares to equal the original scholarship amount:
Ron's share + Nick's share + Mary's share + Margaret's share = P
(1/3)(P - $72,000) + (1/4)(P - $72,000) + (1/4)(P - $72,000) + $72,000 = P
To simplify the equation, we can combine like terms:
(P/3 - $24,000) + (P/4 - $18,000) + (P/4 - $18,000) + $72,000 = P
Combining the fractions and constants:
(4P + 3P - 3P + 12P)/12 - $24,000 - $18,000 - $18,000 + $72,000 = P
16P/12 - $48,000 = P
Multiplying both sides of the equation by 12 to eliminate the denominator:
16P - $576,000 = 12P
Subtracting 12P from both sides of the equation:
4P = $576,000
Dividing both sides of the equation by 4:
P = $144,000
Therefore, the original scholarship amount is $144,000.
Ron's share: (1/3)($144,000 - $72,000) = $24,000
Nick's share: (1/4)($144,000 - $72,000) = $18,000
Mary's share: (1/4)($144,000 - $72,000) = $18,000
Margaret's share: $72,000
Thus, Ron's share is $24,000, Nick's share is $18,000, Mary's share is $18,000, and Margaret's share is $72,000.
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rewrite each of the following expressions without using absolute value:
∣4r-12∣if r<3
Answer:
12-4r
Step-by-step explanation:
4r<12 because r<3 so you flip it.
5 cm
6 cm
13 cm
Help me find the area of this please
The area should be 47.5 CM.
Answer:
Step-by-step explanation:
The figure you see here is a trapezoid.
Area = \(\frac{(a + b)h}{2}\) = \(\frac{(6 + 13)(5)}{2}\) = \(\frac{(19)(5)}{2}\) = \(\frac{95}{2}\) = 47.5 cm
Find the missing side. 31° Z z = [?] Round to the nearest tenth. Remember: SOHCAHTOA 21
A²+B²= C²
31²+ 21²= z²
961+441 = z²
1402= z²
z= 37.443290454
Someone help with this equation
The answer is:
g(x + 1) = 6x + 1
g(4x) = 24x -5
Work/explanation:
To evaluate, I plug in x + 1 into the function:
\(\sf{g(x)=6x-5}\)
\(\sf{g(x+1)=6(x+1)-5}\)
Simplify
\(\sf{g(x+1)=6x+6-5}\)
\(\sf{g(x+1)=6x+1}\)
------------------
Do the same thing with g(4x)
\(\sf{g(4x)=6(4x)-5}\)
\(\sf{g(4x)=24x-5}\)
Hence, these are the answers.
Homework part2 need help asap
The key features of the given quadratic functions are listed below.
What is the graph of a quadratic function?In Mathematics and Geometry, the graph of any quadratic function would always form a parabolic curve because it is a u-shaped. Based on the first quadratic function, we can logically deduce that the graph is an upward parabola because the coefficient of x² is positive and the value of "a" is greater than zero (0) i.e 3 > 0.
For the quadratic function y = 3x² - 5, the key features are as follows;
Axis of symmetry: x = 0.
Vertex: (0, -5).
Domain: [-∞, ∞]
Range: [-5, ∞]
For the quadratic function y = -2x² + 12x - 15, the key features are as follows;
Axis of symmetry: x = 3.
Vertex: (3, 3).
Domain: [-∞, ∞]
Range: [-∞, 3]
For the quadratic function y = -x² + 1, the key features are as follows;
Axis of symmetry: x = 0.
Vertex: (0, 1).
Domain: [-∞, ∞]
Range: [-∞, 1]
For the quadratic function y = 2x² - 16x + 30, the key features are as follows;
Axis of symmetry: x = 4.
Vertex: (4, -2).
Domain: [-∞, ∞]
Range: [-2, ∞]
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