Base on the equation, the amount Laura pay for 2 tennis balls and 4 golf balls $8
How to form and solve equations?
Sam buys 4 tennis balls and 12 golf balls for a total of £19.
let
x = price of each tennis ball
y = price of each golf ball
Hence,
4x + 12y = 19
Luke buys 6 tennis ball and 10 golf balls for a total of £22.50. Hence,
6x + 10y = 22.50
Combine the equation
4x + 12y = 19
6x + 10y = 22.50
6x + 18y = 28.5
6x + 10y = 22.50
8y = 6
y = 6 / 8
y = $0.75
6x + 10(0.75) = 22.50
6x + 7.5 = 22.50
6x = 22.50 - 7.5
6x = 15
x = 15 / 6
x = $2.5
The cost when Laura pays for 2 tennis balls and 4 golf balls is as follows:
2(2.5) + 4(0.75) = 5 + 3 = $8
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Plot 1 goes from 0 to 8. There are 2 images above 5, 2 above 6, 4 above 7, and 5 above 8. Plot 2 goes from 0 to 8. there are 5 images above 1, 2 images above 2, 4 images above 3, 3 images above 4, 1 image above 5, 1 image above 6, and 1 image above 8.
Use visual clues to decide which plot has the highest measure. No calculations should be necessary, although you may use them to verify your answers.
Highest mean:
✔ Plot 1
Highest median:
✔ Plot 1
Highest range:
✔ Plot 2
Highest interquartile ranges:
✔ Plot 2
Answer: the answer is 45
Step-by-step Step-by-step explanation:
so it says a pilot goes from 0 to 8 and then two images above so you add to to eat and then you add 5 to 2:30 for me to 522 the artistic 24 + 27 + 5 then you answer 8 + 2028 and then you add 5 + 1 + 2 + 2 + 4 + 3 + 3 + 4 + 1 + 5 + 16 + 18 and you get 45
Answer:
A, A, B, B
Step-by-step explanation:
£ 686 is shared out between David, Steve and Mike. Mike gets twice as much as Steve who gets twice as much as David. How much does Mike get?
Answer:
£ 392
Explanation
Anyone can help me with this? Kinda confusing. Thank you!
Answer:
14
Step-by-step explanation:
you can do 9 x 14 and get 126
Marlo uses 252 lb of gravel to cover a garden plot of 36 ft2.
Answer: 7lb
Step-by-step explanation:
The amount of gravel required cover each square feet of the garden obtained by dividing the total amount of gravel used and the total area of the garden is 7 lb
Total area of garden = 36 ft²
Total amount of gravel used = 252 lb
The amount of gravel used to cover each ft² of the garden can be calculated thus :
(Total amount of gravel used) ÷ (Total area of garden)
252 ÷ 36 = 7 lb
Therefore, the amount of gravel required to cover each square feet of the garden is 7 lb
Answer:
See below
Step-by-step explanation:
D o you want pounds / sq foot ?
252 lbs / 36 ft^2 = 7 pounds per square foot
Find x in each triangle
Answer:
Applying Pythagoras we get x= 9
Answer:
using the relation,
h²=p²+b²:
15²=x²+12²
x=(225-144)^0.5
x=9
therefore x equal 9 meter.
I need help with this one
which of the following ordered pairs (x y) satisfies the system of inequalities above
Just put the options in the inequalities and check if they are true or not :
A ) ( - 1 , 0 )
[tex]2x + y \leqslant 3[/tex]
[tex]2( - 1) + 0 \leqslant 3[/tex]
[tex] - 2 \leqslant 3 \: \: \: kinda \: true[/tex]
And
[tex]x - y < - 3[/tex]
[tex] - 1 - 0 < - 3[/tex]
[tex] - 1 < - 3 \: \: \: false[/tex]
Thus A is wrong
_____________________________________________
B ) ( - 1 , - 1 )
[tex]2( - 1) + ( - 1) \leqslant 3[/tex]
[tex] - 2 - 1 \leqslant 3[/tex]
[tex] - 3 \leqslant 3 \: \: kinda \: true[/tex]
And
[tex] - 1 - ( - 1) < - 3[/tex]
[tex] - 1 + 1< - 3[/tex]
[tex]0 < - 3 \: \: \: false[/tex]
Thus B is wrong
_____________________________________________
C ) ( - 2 , 4 )
[tex]2( - 2) + 4 \leqslant 3[/tex]
[tex] - 4 + 4 \leqslant 3[/tex]
[tex]0 \leqslant 3 \: \: kinda \: true[/tex]
And
[tex] - 2 - 4 < - 3[/tex]
[tex] - 6 < - 3 \: \: \: true[/tex]
Thus C is the correct option
_____________________________________________
U can do D urself ...
Have a great day ♡
Which set of angle measures could be the interior angles of a triangle?
Answer:
the three angles inside a triangle need to add up to 180 degrees
Step-by-step explanation:
What is the area of the figure?
A. 18 yd
B. 54 yd
C. 72 yd
D. 90 yd
A spinner is divided into 12 identical sectors and labeled 1 through 12.
How many spins are expected for a multiple of 5 to be spun 8 times?
Select from the drop-down menu to correctly complete the sentence.
The spinner is expected to have to spin approximately
times for a multiple of 5 has been spun 8 times.
Answer: The awnser is 48
Step-by-step explanation: I took the quiz
6.03 Quiz: Use Theoretical Probability to Predict
It is expected to take 48 spins for a multiple of 5 to be spun 8 times.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
Since there are 12 sectors, the probability of landing on a multiple of 5 is 2/12 or 1/6.
The probability of not landing on a multiple of 5 is 5/6.
We can use the geometric distribution formula to find the expected number of spins:
E(X) = 1/p, where p is the probability of success.
As per the question, the probability of success is 1/6.
Therefore, E(X) = 1/(1/6) = 6.
We need to spin a multiple of 5 8 times, so we multiply the expected number of spins by 8:
6 x 8 = 48.
Therefore, we can expect to spin a multiple of 5-8 times after 48 spins.
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For the point P(17,22) and Q(22,27), find the distance d(P,Q) and the coordinates of the midpoint M of the
segment PQ.
Step-by-step explanation:
[tex]x \: component = \frac{17 + 22}{2} \\ = 19.5 \\ y \: component = \frac{22 + 27}{2} \\ = 24.5 \\ (19.5...24.5)[/tex]
How would I be able to solve all of these?
Answer:
I'm suggesting that you should read your books!!!
You should be more thoughtful...
Answer:
Part A) x = 6, 13, 22, 33
Part B)
Part ASome examples of perfect squares are 9, 16, 25, and 36. They are the squares of 3, 4, 5, and 6. To generate these values, add x to 3 and plug these numbers into an equation:
√(x + 3) = 3
√(6 + 3) = √9
x = 6
√(x + 3) = 4
√(13 + 3) = √16
x = 13
√(x + 3) = 5
√(22 + 3) = √25
x = 22
√(x + 3) = 6
√(33 + 3) = √36
x = 33
Part B
1. (6, 3)
2. (13, 4)
3. (22, 5)
4. (33, 6)
I hope this helps!
A demolition crew can do a job in 10 days. Another demolition crew can do the same job in 15 days. How many days would it take the two crews to do the job if they work together?
Answer:
6 days
Step-by-step explanation:
In one day, one demolition crew:
One day = [tex]\frac{1}{10} x[/tex] with x = the entire job
Other demolition crew:
One day = [tex]\frac{1}{15} x[/tex]
Together, they do it in [tex]\frac{1}{10}x\\[/tex] + [tex]\frac{1}{15}x[/tex] = [tex]\frac{3}{30}x + \frac{2}{30}x = \frac{5}{30}x[/tex] [tex]= \frac{1}{6}x[/tex] in one day
So [tex]\frac{1}{6}x[/tex] x 6 = x
so it takes 6 days to complete the work together.
I don't know how to do this (don't mind the 21)
Answer:
The definition of alternate interior angles is that those two angles are the same.
Therefore because they are the same you can set them equal to eachother
3x + 24 = 78 is true
3x = 54
x = 18
Just know the definitions, for instance 3 and 4 are the same, 2 and 5 are the same, 1 and 6 are the same
In Houston, 9 bats ate 50 grams of insects in one night. At this rate, how many grams of insects could 81 bats eat in one night?
Answer:
Step-by-step explanation:
Remark
Using Algebra, this is a proportion question. A proportion is 2 equal ratios
If the of the 2 ratio parts are known, it is possible to solve for the 4th one.
Formula
9_bats/50_grams::81_bats/x grams insects
Solution
Put the three knowns in and solve for the 4th which is not known
9 bats/ 50 insects = 81 bats /x insects. Cross multiply
9 * x = 50 * 81 Combine
9x = 4050 Divide by 9
9x/9 = 4050/9
Answer: x = 450 grams
If f(x) -
X-3
and g(x) = 5x - 4, what is the domain of (f•g)(x)?
Two rooms in a tiny house share a wall.
Answer:
54 + 42 = 6 (9 + 7)
Sorry if this answer is not correct, if it is or is not, please tell me in the comments!
Step-by-step explanation:
The equation already gives the 7 in the parenthesis, so we know that 7 x 6 = 42.
The 6 will be on the outside of the equation since we will be using Distributive Property to multiply the 6 and 7.
Since we already know the 6 is on the outside, your new equation is:
6 x (what number) = 54
54 divided by 6 = 9
Martinez and grouse swimming pool is finally finished and all this left to do is fill it with water. Martinez family decides to fill their pool using their garden hose to save money even though they know it will take a really long time the swimming pool is 10 m long and 5 m wide and Martinez family wants to the water to be 2 m deep water from the garden holes flows at a rate of 2500 l or 2.5 m³ per hour how long will it take to fill the pool
Answer:
the answer ia true
Step-by-step explanation:
hope this helps
Can someone help me? I'm pretty bad at math... But what is the number needed?
6 x ? x 3 = 90
!!!!!!!!!!!!!!!!!!!!!
Answer:
I believe it would be 9.
Step-by-step explanation:
Finding Dialation: 16/12 = 1.3
Height: 16/1.3 = 12
Width: 12/1.3 = 9
Write an equation in slope-intercept form of the line that passes through ( 7,2 ) ( 2,12 )
Answer:
y = -2x + 16
Step-by-step explanation:
Slope-intercept form is:
y = mx + bWhere m = slope
b = y-intercept
To find the slope of the line containing (7,2) and (2,12), we have to find the slope, m.
m = (y2 - y1)/ (x2 - x1)= (12 - 2)/(2 - 7) = 10/-5 = -2Now, to find the y-intercept (b), insert m = -2 into the equation and one of the given points:
y = -2x + blet's use point (7,2) to find b:
2 = -2(7) + b2 = -14 + bb = 16Now, we can find the equation of this line:
y = -2x + 16Answer:
y=-2x+16
Step-by-step explanation:
First we should find the slope.
We can use the formula (y2-y1)/(x2-x1)
(12-2)/(2-7)=10/-5=-2
So, the slope is -2.
From there, we can plug in one of the points into the standard slope-intercept equation, y=mx+b, along with the slope we already found
y=-2x+b
12=-2(2)+b
12=-4+b
b=16
So, the slope-intercept equation is y=-2x+16
In analysis of variance, then the term factor refers to_______
a) a dependent variable
b) a treatment total
c) an independent variable (or quasi-independent) variable
d) a treatment mean
Use the proof above to answer the question: What reason can be used to prove that the triangles are congruent?
A. AAS B. ASA C. AAA D. SAS E. SSS
Answer:
E. SSS
Step-by-step explanation:
AB=BC (Given)
AD=CD (Midpoint)
BD=BD (common)
Therefore answer is : SSS
There are 110 calories per 28.4 grams of Cereal X. Find how many calories are in 39.76 grams of this cereal
Step-by-step explanation:
28.4 g there are 110 calories
1 g there are 110/28.4 = 3.87 calories
39.76 g there are 3.87 × 39.76 = 153.87
A company paid $211.00 for an item. The original price was $299.20, but this was marked down 40%. If the operating expenses are 36% of the cost, find the operating loss and the absolute loss.
1. What is the operating loss?
2. What is the absolute loss?
Answer:
If the operating expenses are 36% of the cost, find the operating loss and the absolute loss.
1. An operating loss occurs when a company's operating expenses exceed gross profits (or revenues in the case of a service-oriented company.
2. Mean absolute error (MAE) is a loss function used for regression. The loss is the mean overseen data of the absolute differences between true and predicted values, or writing it a formula.
Step-by-step explanation:
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find out the time at which the rocket will reach its max, to the nearest 100th of a second.
Answer:
x=5.09 seconds (times at max)
Step-by-step explanation:
Good people please don't leave me help!!!
Answer:
I hope it helped you
Step-by-step explanation:
Pls check the given attachment
I hope it helped you
For what value of k will the relation R = {(2k+1, 3), (3k−2, −6)} not be a function?
For the relation to not to be a function we need the same value of x in (x,y) that gives off different values (y).
2k+1= 3k-22k-3k = -2-1-k = -3k = 3Now plugging in the value of k,
(2 x 3+1 ,3) =( 7,3)(3 x 3-2,-6) = (7,-6)hence , the relation won't be function if k would be equal to 3
The value of k for which the relation R = {(2k+1, 3), (3k−2, −6)} is not a function is k = 3.
What is a function?In general terms, a function is a mathematical rule or relationship that maps one set of values (the input or domain) to another set of values (the output or range). In other words, it's a specific process that takes some input and produces a corresponding output.
For the given relation R to be a function, each input in the domain should have exactly one corresponding output in the range.
We can determine whether the relation R is a function by checking if both ordered pairs have the same first coordinate. If they do, then the relation is not a function.
Let's equate the first coordinate of the ordered pairs:
2k+1 = 3k-2
Solving for k, we get:
k = 3
If we substitute k = 3 into the relation, we get:
R = {(2(3)+1, 3), (3(3)−2, −6)}
R = {(7, 3), (7, -6)}
Since both ordered pairs have the same first coordinate of 7, the relation R is not a function.
Therefore, the value of k for which the relation R = {(2k+1, 3), (3k−2, −6)} is not a function is k = 3.
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Decide whether it would be more convenient to solve the system of equations by substitution or elimination.
{−2x/3−15y=−6, 10x−6y=−4
Select the correct answer below:
elimination
substitution
Answer:
I would use elimination in this scenario. Because in both equations there is a coefficient on both variables, it would be difficult to isolate one variable and would leave the equation as a fraction. Instead, use elimination. Multiply the first equation by -15, which changes it to 10x + 225y = -90, and then subtract the second equation, thus cancelling out the 10x's and letting you solve for Y. Hope this helps!
A sample of 36 people yielded the information about their health insurance in the table to the right.
Two people who provided information for the table were selected at random, without replacement. Find the probability that neither had traditional insurance.
The probability that neither of the two people selected have traditional insurance is 0.33.
What is the probability that neither had traditional insurance?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that neither of the two people selected have traditional insurance = (number of people that chose manage care plan + number of people who dont have any insurance) / total number of people surveryed x [(number of people that chose manage care plan + number of people who dont have any insurance) / total number of people surveryed - 1]
21/36 x 20/35 = 0.33
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Given the function f(x) = 4 - 2x, find f(3r - 1).
Answer:
6 - 6r
Step-by-step explanation:
we just plug in 3r - 1 instead of x
f(3r - 1) = 4 - 2(3r - 1)
= 4 - 6r + 2
= 6 - 6r