Answer:
Let the cost of hiring diving equipment be X
Given,
cost of hiring diving equipment=X
cost of hiring wet suit =1/3 of X
Total cost of both =$144
Now,
X+1/3X=$144
or, (3X+X)/3=$144 ( taking l.c.m.)
or, 4X/3=$144
or, 4X=$144*3
or, X=$432/4
or, X=$108
Therefore, he paid $36 which is 1/3 of x to hire wetsuit.
You pull one card at random from a standard deck and you shuffle the remaining cards. Then you pull another card. Is the event independent or dependent?
Answer:
If an event is affected by previous events then it is a dependent event, while if an event is not affected by the previous event then it is an independent event.
Since we have replaced the card that we first drew from the deck, it wont affect the event of pulling a card second time.
So, we can say that it is an example of independent event.
In a right angled triangle ABC, ACB =30 and AC=10cm a. calculate BAC b. calculate line AB
Answer:
10 cm is the answer because 30÷3 angles
(8x 2 −15x)−(x 2 −27x)=ax 2 +bxleft parenthesis, 8, x, squared, minus, 15, x, right parenthesis, minus, left parenthesis, x, squared, minus, 27, x, right parenthesis, equals, a, x, squared, plus, b, x If the equation above is true for all values of xxx, what is the value of b-ab−ab, minus, a ?
Answer:
5Step-by-step explanation:
Given the expression (8x² −15x)−(x² −27x) = ax² +bx, we are to determine the value of b-a. Before we determine the vwlue of b-a, we need to first calculate for the value of a and b from the given expression.
On expanding the left hand side of the expression we have;
= (8x² −15x)−(x² −27x)
Open the paranthesis
= 8x² −15x−x²+27x
collect the like terms
= 8x²−x²+27x −15x
= 7x²+12x
Comparing the resulting expression with ax²+bx
7x²+12x = ax²+bx
7x² = ax²
a = 7
Also;
12x = bx
b =12
The value of b - a = 12 - 7
b -a = 5
Hence the value of b-a is equivalent to 5
The value of b minus a is 5
Calculation of the value:Since the expression is
[tex](8x^2 -15x)-(x^2 -27x) = ax^2 +bx[/tex]
Here we have to expand the left-hand side of the expression so it should be like
[tex]= (8x^2 -15x)-(x^2 -27x)\\\\= 8x^2 -15x-x^2+27x\\\\= 8x^2-x^2+27x -15x\\\\= 7x^2+12x[/tex]
Now
[tex]7x^2+12x = ax^2+bx\\\\7x^2 = ax^2[/tex]
a = 7
Also;
12x = bx
b =12
So,
The value of b - a = 12 - 7
b -a = 5
Hence the value of b-a should be 5
Learn more about equation here: https://brainly.com/question/24540444
Point Q is on line segment PR. Given QR=11 and PQ=3, determine the length PR.
Answer:
[tex]\huge \boxed{14}[/tex]
Step-by-step explanation:
Q is a point on the line segment PR.
PQ = 3
QR = 11
PR = PQ + QR
PR = 3 + 11 = 14
Answer:
[tex]\huge\boxed{PR = 14}[/tex]
Step-by-step explanation:
QR = 11
PQ = 3
Given that Q is on line segmant PR
So,
PR = PQ + QR
PR = 3 + 11
PR = 14
solve 4w–3w+2w=24
Please
We need to simplify the left side first.
On the left side, all the terms can be combined.
So 4w - 3w + 2w is 3w.
So we have 3w = 24.
Next, dividing both sides by 3, we have w = 8.
So our solution is w = 8.
Answer
[tex] \boxed{ \huge{ \bold{ \sf{ \boxed{w = 8}}}}}[/tex]
Step by step explanation
[tex] \sf{4w - 3w + 2w = 24}[/tex]
Collect like terms
⇒[tex] \sf{w + 2w = 24}[/tex]
⇒[tex] \sf{3w = 24}[/tex]
Divide both sides of the equation by 3
⇒[tex] \sf{ \frac{3w}{3} = \frac{24}{3} }[/tex]
Calculate
⇒[tex] \sf{w = 8}[/tex]
Hope I helped!
Best regards!!
Evaluate |3 - 5 + 7|. -5 5 -15 15
Answer:
5
Step-by-step explanation:
|3 - 5 + 7|
= |-2 + 7|
= |5| = 5
Answer:
The correct answer would be 5.
Step-by-step explanation:
372 to the nearest 100
Answer: 400
Explanation: To round 372 to the nearest hundred, we first find the digit in the rounding place which in this case is the 3 in the hundreds place.
To decide whether to round up or down, we look
at the digit to the right of the 3, which is 7.
According to the rules of rounding, if the digit to the right of the
rounding place is greater than or equal to 5, we round up.
So in this problem, since 7 is greater than or equal to 5, we round up.
This means that we add 1 to the 3 in the rounding place
to get 4 and all digits to the right of 4 become 0.
So 372 rounded to the nearest hundred is 400.
-11b+7=4 someone help I’ve been stuck on this problem forever
Answer: Hi!
First, we will use inverse operations to remove the 7. Subtract 7 on both sides:
7 - 7 = 0
4 - 7 = -3
Our equation now looks like this:
-11b = -3
Now we will use inverse operations to isolate the b. Divide -11 on both sides:
-11b ÷ -11 = b
-3 ÷ -11 = 3/11
Our equation now looks like this:
3/11 = b
3/11 is equal to b. This is your answer!
Hope this helps!
circle the volume in cm^3 of a cylinder with the radius 5cm and height 8cm
Answer:
628 [tex]cm^{3}[/tex]
Step-by-step explanation:
Since the formula to find the volume of a cylinder is [tex]\pi r^{2}[/tex]h, we just need to fill things in.
Since the radius is 5 and the height is 8 and we know that pi=3.14, our new equation is:
3.14*5^2*8.
5*5=25. Now we simplify.
3.14 * 25 * 8
78.5 * 8
628 [tex]cm^{3}[/tex]
Hope this helps!! <3 :)
Answer:
628.32
Step-by-step explanation: googled it lol
PLZ HELP!!!!!!!!!!!!!! WILL MARK BBRAINLIST
Answer:
B. The second choice.
Step-by-step explanation:
A function cannot have two points with the same x-coordinate.
If you graph two different points that have the same x-coordinate, they will both lie on the same vertical line. Therefore, if in a relation, more than one point lie on the same vertical line, then the relation is not a function.
5 - (4 - 3x) = 10
how would u distubute in this problem
Answer:
x = 3
Step-by-step explanation:
Given
5 - (4 - 3x) = 10 ← distribute the terms in the parenthesis by - 1
5 - 4 + 3x = 10, that is
1 + 3x = 10 ( subtract 1 from both sides )
3x = 9 ( divide both sides by 3 )
x = 3
At a frisbee-throwing competition, one contestant threw a frisbee 113.47 meters.
Round the distance to the nearest meter.
Answer:
113 meters
Step-by-step explanation:
113.47 rounded to the nearest meter is 113.
The distance of frisbee to the nearest meter will be equal to 113 meters.
What is a round of numbers?An integer containing one or more "0"s at the end in a specific base is said to be round. In this way, 590 is more rounded than 592 but less rounded than 600.
A round number is frequently understood to stand for a value or values close to the nominal value expressed in both formal and informal language.
The distance to the nearest meter will be given as below:-
113.47 meters. = 113 meters.
Therefore, the distance of the frisbee to the nearest meter will be equal to 113 meters.
To know more about round off follow
https://brainly.com/question/1764341
#SPJ2
Please answer this question now
Answer:
156.6 square yards
Step-by-step explanation:
To find the surface area of the pyramid, find the area of each surface and add them together.
formula for area of a triangle = 1/2(b·h)
1. There are three triangles with a base of 9 and a height of 9
1/2(9·9) = 40.5
Multiply by the three triangles
40.5 · 3 = 121.5
2. There is one triangle with a base of 9 and a height of 7.8
1/2(9·7.8) = 35.1
3. Add the areas of all surfaces
121.5 + 35.1 = 156.6
Make the biggest possible number using the digits below only once 0 , 3 , 4
Answer:
12,157,665,459,057,000,000
Step-by-step explanation:
It seems like it would have to involve exponents. 3 to the 40th power would be 12,157,665,459,057,000,000.
In which scenarios are surveys appropriate? or when is it appropriate to use experiments?
Answer:
1. Surveys are used to obtain specific information from a group of people. It is administered by politicians, professionals, sociologists, and other groups to obtain data from their subjects of interest.
2. Experiments are used to establish cause-and-effect relationships. Scientists use them for highly-controlled tests to give/withdraw credence to some hypotheses.
Step-by-step explanation:
Surveys, when applied to human subjects, are used to obtain data from a selected sample of subjects. Surveys, which can be applied through mails, telephones, the internet, in-person, and through other means are aimed at getting the opinions, thoughts, and beliefs of the participants. It is administered by politicians, professionals, sociologists, and other groups to obtain data from their subjects of interest. This data can be qualitative or quantitative.
Experiments are administered to provide support or refute a given hypothesis. They establish cause and effect relationships. Scientists use them for highly-controlled tests to give/deny credence to some hypotheses. Positive controls establish the hypothesis as true. They could be conducted in the laboratory, in the field, or through observations.
Suppose triangle TIP and triangle TOP are isosceles triangles. Also suppose that TI=5, PI=7, and PO=11. What are all the possible lengths TO? Enter the possible values, separated by commas.
===========================================
Explanation:
Refer to the diagram below.
In order for triangle TOP to be isosceles, the missing side x must be either 5 or 7. This way we have exactly two sides that are the same length.
--------
If TP = 5, then the value of y could be either 5 or 11 to ensure that triangle TIP has exactly two sides the same length.
If TP = 7, then y = 7 or y = 11 for similar reasons.
--------
Therefore, the possible lengths for segment TO are 5, 7, and 11.
Answer:
7, 11
Step-by-step explanation:
its right- trust me-
Describe the relationship between quartiles and percentiles. ▼ are special cases of ▼ ▼ Upper Q 2 Upper Q 3 Upper Q 1 is the 25th percentile, ▼ Upper Q 2 Upper Q 1 Upper Q 3 is the 50th percentile, and ▼ Upper Q 2 Upper Q 3 Upper Q 1 is the 75th percentile.
Answer:
Q1 is the 25th percentile
Step-by-step explanation:
Quartiles are known to be one-fourth of an entity, that is, 1/4th with the whole evaluating to 1. The numerator cannot exceed four, as the division compares an item in an entity to the whole of the entity or sample.
Percentiles represents a whole entity as a 100 with the symbol "%" which denote its use.
The first quartile is 25th percentile, the second is the 50th percentile, the third is the 75th percentile while the fourth quartile which is 4/4 is the 100th percentile mark.
Please Answer THIS QUESTION ASAP ty!! First 2 answer right is BRAINLESS
Hi there! :)
Answer:
[tex]\huge\boxed{A = 119.44 cm^{2} }[/tex]
To find the area of the shaded region, we will need to find the areas of both the rectangle and the circle:
Rectangle: A = l × w
A = 11 × 12
A = 132 cm²
Circle: A = πr² (Let π = 3.14)
A = π(2)²
A = 4π
A ≈12.56 cm²
Subtract the area of the circle from the area of the rectangle:
132 - 12.56 = 119.44 cm².
What is 25x + 67y if x = 23 and y = 36. Give explanation please!
Answer:
2987.
Step-by-step explanation:
25(23) + 67(36) = 575 + 2412 = 2987.
Hi there! Hopefully this helps!
------------------------------------------------------------------------------------------------------------
Answer: 2987
First we need to rewrite the equation. Since x = 23 and y = 36 the equation should look like this for easier steps:
25(23) + 67(36) = ?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Now since there numbers by other numbers in parentheses, we need to multiply them.
25 x 23 = 575.
67 x 36 = 2412.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Now that the equation is in its final form, we write it like this for the answer:
575 + 2412 =
2987.A shopkeeper allowed 10% discount on his goals
to make 20% profit If he sold a watch for
Rs.10,170 with 13 %. VAT, by what percent
is the discourt to be increased to make only
12% profit
Answer:
To make only 12% profit, the discount should be increased to 16%
Step-by-step explanation:
The given information are;
The percentage discount on goods = 10%
The profit made from the sale of the watch = 20%
The amount the watch was sold = Rs.10,710
The percentage VAT included = 13%
Let the recommended selling price of the watch = X
Therefore, we have;
The price after 10% discount = 0.9×X
Which gives;
The amount the watch was sold = Price after 10% discount + Price after 10% discount ×VAT
The amount the watch was sold = 0.9×X + 0.9×X×13% = 0.9×X + 0.9×X×0.13
Rs.10,710 = 0.9×X + 0.9×X×0.13 = 1.017×X
X = Rs.10,170/1.017 = Rs. 10,000
The recommended selling price of the watch = Rs. 10,000
The profit was 20% of selling price which gives;
Profit = Selling price - Cost price = Rs. 9,000 - Rs. X = 0.2 × Rs. X
9000 - X = 0.2×X
9000 = X + 0.2×X = 1.2×X
X = 9000/1.2 = Rs. 7,500
To make only 12% profit, we have;
12% of Rs. 7,500 = 0.12 × Rs.7,500 = Rs. 900
Selling price = Cost price + Profit = Rs. 7,500 + Rs. 900 = Rs. 8,400
Percentage discount from Rs.10,000 to get Rs. 8,400 is given as follows;
Percentage discount = Y%
Therefore;
Y = (10,000 - 8,400)/10000 × 100 = 0.16 × 100 = 16%
Y = 16%
Therefore, to make only 12% profit, the discount should be increased to 16%.
Pls help me , idk how to do
Answer:
PQRS is a parallelogram with right-angle corners
Step-by-step explanation:
We know that the midsegment of a triangle is parallel to the base.
QR is the midsegment of triangle BCD, so is parallel to BD.
SP is the midsegment of triangle DAB, so is parallel to BD.
QR and SP are both parallel to BD, so are parallel to each other.
RS is the midsegment of triangle CAD, so is parallel to AC.
PQ is the midsegment of triangle ABC, so is parallel to AC.
RS and PQ are both parallel to AC, so are parallel to each other.
__
We have shown that opposite sides of PQRS are parallel to each other, so the figure is at least a parallelogram.
__
By virtue of the congruence of corresponding angles where a transversal crosses parallel lines, each of the so-far named lines can be shown to be perpendicular to any of the lines it meets.* Hence the figure PQRS must be a parallelogram with right angles, a rectangle.
_____
* Transversal BD crosses PQ, AC, and RS at right angles. Hence, transversals RS and PQ cross QR, BD, and SP at right angles. That is, the angles at corners P, Q, R, and S of the parallelogram are right angles.
What's the correct answer to this..? Need help
Answer:
A.
Step-by-step explanation:
All of those graphs represent functions. You are able to tell because they all pass the vertical line test. The vertical line test is conducted by drawing a line that goes vertically and intercepts any point of the line in question. If the function crosses the vertical line twice, it is not a function. If it only intercepts once, it is a function. In this case, every graph is a function because they would intercept a vertical line once.
Can Someone help ill rate brainliest!!
Answer:
2
Step-by-step explanation:
Let Ishan’s age equal an unknown quantity we’ll call “x”.
An age 4 times Ishan’s would be 4 times x, written “4x”.
An age 6 years older than Ishan’s would be written “x+6”.
Now, through the magic of algebra, we can write an equation: 4x = x+6 . This means that “four times Ishan’s age is equal to his age plus six.”
The magic continues: you can subtract an”x” from each side of the equation. You can subtract any quantity from either side, but subtracting”x” will leave 6 on the right and “3x” on the left: 3x = 6.
Divide both sides by the same quantity: 3.
This will give you x =2. This indicates Ishan’s age is 2.
Answer:
Ishaan is 2 years old.
Step-by-step explanation:
We can create a systems of equations for this, assuming b is Ben's age and i is Ishaan's age.
[tex]b = 4i[/tex]
[tex]b = i+6[/tex]
Let's solve via substitution.
[tex]4i = i+6[/tex]
Subtract i from both sides:
[tex]3i = 6[/tex]
Divide both sides by 3:
[tex]i = 2[/tex]
So Ishaan is 2 years old. Ben is:
[tex]4(2) = 8[/tex] years old.
Hope this helped!
Please help me with this problem....5 stars 1 thanks and depending on how you answer brainiest.
Answer:
[tex]\huge\boxed{Probability = \frac{1}{3} }[/tex]
Step-by-step explanation:
Total Magazines = 3
Woman's Day = 1
Probability = No. of Favorable Outcomes / Total no. of Outcomes
Probability = [tex]\frac{1}{3}[/tex]
Answer: [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
There are three choices for Mrs. Stanton. One of the three choices is the Women's Day magazine. Thus, 1 out of 3, or 1/3 of the choices are Women's Day.
Hope it helps <3
A student earned grades of , , , , and . Those courses had the corresponding numbers of credit hours , , , , and . The grading system assigns quality points to letter grades as follows: A4; B3; C2; D1; F 0. Compute the grade point average (GPA) as a weighted mean and round the result with two decimal places. If the Dean's list requires a GPA of 3.00 or greater, did this student make the Dean's list
Answer:
grade point average (GPA) as a weighted mean = 3.14
Yes, student makes the Dean's list.
Step-by-step explanation:
Since the data is not given I will explain the question with a relevant example:
For example
Data:
Students grades are: A, C, B, A, D
The corresponding number of credit hours: 3, 3, 3, 4, 1
The grading system assigns quality points to letter grades as:
A = 4
B = 3
C = 2
D = 1
F = 0
To find:
grade point average (GPA) as a weighted mean
If the Dean's list requires a GPA of 3.00 or greater, did this student make the Dean's list?
Solution:
Weighted Mean = Σx[tex]_{i}[/tex] w[tex]_{i}[/tex] / Σw[tex]_{i}[/tex]
Here
Using the earned grades of A, C, B, A, D and corresponding quality points to these letter grades we get:
A = 4
C = 2
B = 3
A = 4
D = 1
So the values in x[tex]_{i}[/tex] are:
x
4
2
3
4
1
Now the number of credit hours are represented as weights w[tex]_{i}[/tex] :
w
3
3
3
4
1
In order to calculate weighted mean first multiply x[tex]_{i}[/tex] with w[tex]_{i}[/tex]
x[tex]_{i}[/tex] w[tex]_{i}[/tex]
4 * 3 = 12
2 * 3 = 6
3 * 3 = 9
4 * 4 = 16
1 * 1 = 1
The sum of x[tex]_{i}[/tex] w[tex]_{i}[/tex] is :
Σx[tex]_{i}[/tex] w[tex]_{i}[/tex] = 12 + 6 + 9 + 16 + 1 = 44
Σx[tex]_{i}[/tex] w[tex]_{i}[/tex] = 44
Now compute the sum of w[tex]_{i}[/tex]
Σw[tex]_{i}[/tex] = 3 + 3 + 3 + 4 + 1 = 14
Σw[tex]_{i}[/tex] = 14
Putting the values in the weighted mean formula:
Weighted Mean = Σx[tex]_{i}[/tex] w[tex]_{i}[/tex] / Σw[tex]_{i}[/tex]
= 44 / 14
= 3.1429
Weighted Mean = Σx[tex]_{i}[/tex] w[tex]_{i}[/tex] / Σw[tex]_{i}[/tex] = 3.14
Since the Dean's list requires a GPA of 3.00 or greater and the grade point average (GPA) as a weighted mean of the student is 3.14 so the student makes the Dean's list because his/her GPA is higher than 3.00
Mrs. Yadav purchase 25 kg of vegetable at Rs 20 per kg and sold at a loss of Rs 50 find her
Selling rate and loss percent
Answer:
[tex] \boxed{loss\% \: = 10\%}[/tex][tex] \boxed{selling \: price = Rs 450}[/tex]Step-by-step explanation:
Given,
Cost price of 25 kg of vegetables ( CP ) = 25 × 20
= Rs 500
Loss amount = Rs 50
Selling price ( SP ) = ?
Loss percent = ?
Now, let's find the loss percent :
[tex] \mathsf{ \frac{loss}{cost \: price} \times 100\%}[/tex]
[tex] \mathsf{ = \frac{50}{500} \times 100\%}[/tex]
[tex] \mathsf{ = 10\%}[/tex]
Loss % = 10 %
Now, let's find the selling price:
[tex] \mathsf{ \frac{CP(100 - l\%)}{100} }[/tex]
[tex] \mathsf{ = \frac{500(100 - 10)}{100}} [/tex]
[tex] \mathsf{ = \frac{500 \times 90}{100} }[/tex]
[tex] \mathsf{ = \frac{45000}{100} }[/tex]
[tex] \mathsf{= 450}[/tex]
Hope I helped!
Best regards!
The family size bottle of sunscreen holds 12121212 fluid ounces (fl oz)(\text{fl oz})(fl oz)(, start text, f, l, space, o, z, end text, )of sunscreen. The regular bottle holds 75%75\%75%75, percent less.How many fewer fluid ounces does the regular bottle of sunscreen hold?
Answer:
The regular bottle holds 9 fl oz less
Step-by-step explanation:
Given
Family Size = 12 fl oz
Required
Determine the size held less by the regular bottle
From the question, we have that the regular bottle holds 75% less;
[tex]Regular\ Size = 75\% * Family\ Size[/tex]
Substitute 12 fl oz for Family Size
[tex]Regular\ Size =75\% * 12\ fl\ oz[/tex]
Convert percentage to fraction
[tex]Regular\ Size = \frac{75}{100} * 12\ fl \oz[/tex]
[tex]Regular\ Size = \frac{75 * 12\ fl\ oz}{100}[/tex]
[tex]Regular\ Size = \frac{900\ fl\ oz}{100}[/tex]
[tex]Regular\ Size = 9\ fl\ oz[/tex]
Hence, the regular bottle holds 9 fl oz less
find the perimeter of the quadrant whose radius is 21cm
Answer:
75 cm
Step-by-step explanation:
∅=90° , r = 21 cm
Arc length= (2πr∅)/360
=(2π×21×90)/360
=33 cm
Perimeter= arc length + 2(radius)
=33+2(21)
=33 + 42
= 75 cm
What is the distance between (-6, 2) and (8,10) on a coordinate grid?
Answer:
A. 260
Step-by-step explanation:
Answer:
square root 260
Step-by-step explanation:
On mine it is D. but the answer is the square root of 260
(2a-b)2-(a-2b)2 factorial
Hello, we know that for a and b real numbers
[tex]a^2-b^2=(a-b)(a+b)[/tex]
So,
[tex](2a-b)^2-(a-2b)^2=(2a-b-a+2b)(2a-b+a-2b)\\\\=(a+b)(3a-3b)\\\\\boxed{=3(a+b)(a-b)}[/tex]
Thank you.
