Answer:
The weigth of the three heavy balls is 35.1 pounds.
Step-by-step explanation:
In order to solve this problem we will call the weigth of the light ball by "l" and the weigth of the heavy ball by "h". The total weigth of the six balls is 52.65 pounds, so we have:
3*l + 3*h = 52.65
We know that the weigth of the heavy ball is twice the weight of the light ball, so we have:
h = 2*l
We can use this value on the equation to solve for "l". We have:
3*l + 3*(2*l) = 52.65
3*l + 6*l = 52.65
9*l = 52.65
l = 52.65/9 = 5.85 pounds
h = 2*l = 2*5.85 = 11.7 pounds
3*h = 35.1 pounds
The weigth of the three heavy balls is 35.1 pounds.
Final answer:
The weight of a light bowling ball is approximately 5.85 pounds. The weight of a heavy bowling ball is approximately 11.7 pounds.
Explanation:
The total weight of the 6 bowling balls is 52.65 pounds. Let's represent the weight of a light bowling ball as x pounds. Since the weight of a heavy bowling ball is twice that of a light bowling ball, the weight of a heavy bowling ball is 2x pounds. So we can set up the equation:
3x + 3(2x) = 52.65
Simplify and solve for x:
3x + 6x = 52.65
9x = 52.65
x = 52.65/9
x = 5.85
The weight of a light bowling ball is approximately 5.85 pounds. The weight of a heavy bowling ball is twice that, which is approximately 11.7 pounds.
Mr. Padilla used similar triangles to make a design. Which statement about the triangles in the design must be true?
Answer:
They have corresponding angles that are congruent.
Step-by-step explanation:
The options of the question in the attached figure
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
therefore
The statement that must be true is
They have corresponding angles that are congruent.
2. What is the total outcome when picking a number from 1 to 30 and a
letter from the alphabet *
56
150
390
780
Answer: 780
Step-by-step explanation: 30 numbers times 26 letters.
30 x 26=780
Final answer:
To find the total number of outcomes for selecting a number between 1 and 30 and a letter from the alphabet, you multiply the outcomes of each event together, resulting in 30 numbers multiplied by 26 letters, which equals 780 total outcomes.
Explanation:
The question asks for the total number of outcomes when picking a number from 1 to 30 and a letter from the alphabet. In mathematics, to calculate the total number of outcomes for two independent events, you multiply the number of outcomes for each event. There are 30 different outcomes for picking a number from 1 to 30, and, assuming a standard English alphabet, there are 26 outcomes for picking a letter from A to Z.
To find the total number of outcomes when one event is selecting a number and another event is selecting a letter, you multiply the two: 30 (numbers) × 26 (letters) = 780 total outcomes.
A basket full of 10 apples costs 23$, another basket full of 15 apples costs 33$. The prices of the baskets are the same. How much will a basket full of 25 apples cost? Write an equation that tells the price Y for the number of apples X. Fill in the chart.
Answer:
Equations:
y + 10x = 23
y + 15x = 33
cost of basket with 25 apples = $53
Step-by-step explanation:
A basket with 10 apples cost $23 and a basket with 15 apples cost $33. Note that these costs also include the cost of the basket, which is same in both case. Let the cost of empty basket with "y" and cost of each apple be "x"
Cost of basket and 10 apples is $23. We can transform this statement into an equation as:
y + 10x = 23 Equation 1
Similarly,
Cost of basket and 15 apples is $33. This gives us another equation:
y + 15x = 33 Equation 2
Subtracting Equation 1 from Equation 2 , we get:
y + 15x - (y +10x) = 33 - 23
5x = 10
x = 2
Using the value of x in equation 1, we get:
y + 10(2)= 23
y = 23 - 20
y = 3
This means, cost of basket is $3 and cost of each apple is $2.
Now we can calculate the cost of basket with 25 apples, which will be:
Cost of basket + Cost of 25 apples = Total Cost
3 + 25(2) = 3 + 50 = $53
Answer:
10=23
15=23
25=53
Step-by-step explanation:
The table shows a function. Is the function linear or nonlinear?
x y
17 8
18 10
19 12
The function shown in the given table is a linear function.
Given that, to determine whether the table shows a function is linear or non-linear.
What are functions?The connection between sets of values is what makes up a function. For instance, in the formula y=f(x), a set of y exists for each value of x. The independent variable is called x, while the dependent variable is called Y.
Here,
Table,
x = 17 18 19
y = 8 10 12
From the observation of the table, it is been observed that the value of x changes by 1 unit, and correspondingly the value of y changes by 2 units. So, the relationship arises is a linear function.
Thus, the function shown in the given table is a linear function.
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Marcia biked 600 meters on friday. On saturday, she biked 3 kilometers. One sunday she biked 2 kilometers and 700 meters. How many kilometers did Marcia bike over the three days?
Answer:
6.3 km
Step-by-step explanation:
You want to know the total distance represented by segments of 600 m, 3 km, and 2km plus 700 m.
KilometerKilo- is a prefix meaning 1000. A kilometer is 1000 meters. That means we can write the distances as ...
600 m = 0.600 km3 km = 3.000 km2 km + 700 m = 2.700 kmTotalThe total of these distances is found by adding the decimal values in the usual way.
0.600 +3.000 +2.700 = 6.300
Marcia biked 6.3 km over the three days.
Helppppppppppp me please
Given:
The radius of the given diagram = 9 inches
The value of given angle = 120°
To find the length of the arc.
Formula:
The relation between arc (S), radius (r) and the angle ([tex]\theta[/tex]) is:
[tex]S[/tex]= [tex]2\pi r(\frac{\theta}{360})[/tex]
Now,
Putting, [tex]r = 9, \theta = 120 ^\circ[/tex] we get,
[tex]S = 2(\pi)(9)(\frac{120}{360} )[/tex]
[tex]S = 6\pi[/tex]
Hence,
The length of the arc is [tex]6\pi[/tex] inches.
There are 41 students in a Statistics class. The professor knows from experience that the time to grade one exam follows a normal distribution with average 8.8 minutes and standard deviation 3.2 minutes.
What is the average time and standard deviation to grade 41 exams
Paul was thinking of a number. Paul halves the number and gets an answer of 6. Form an equation with
x
from the information.
The equation is x/2=6
What is an equation?A statement that the values of two mathematical expressions are equal (indicated by the sign =).
Given here: Paul was thinking of a number. Paul halves the number and gets an answer of 6. Let the number be x and this number is halved and it becomes equal to 6
thus we can construct an equation as follows:
x/2=6
Hence, The equation is x/2=6
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Final answer:
The equation formed based on the information that Paul halves the number to get 6 is x/2 = 6. Multiplying both sides by 2 gives us x = 12, which is the original number that Paul was thinking of.
Explanation:
The student question regarding forming an equation from a given word problem can be translated into: Paul halves the number and gets 6. To form an equation with x, we represent the unknown number as x, and then create an equation based on the information given. Since halving the number results in 6, the equation we form is x/2 = 6.
To find the value of x, we can multiply both sides of the equation by 2, which will give us x = 6 × 2. This simplifies to x = 12, which is the original number Paul was thinking of.
Vuestion
Select all the correct answers.
A triangle has one angle that measures 35. Which values could be the measures of the other two angles?
75° and 70°
75° and 80°
25° and 120°
45° and 110
90° and 55
60° and 95
Submit
Answer:
90 and 55
Step-by-step explanation:
Answer:
75 degrees and 70 degrees
25 degrees and 120 degrees
90 degrees and 55 degrees
Step-by-step explanation:
edmentum
What is segment A.B. to circle a
We need to see the circle
Liang bought a basket of apples to make pies for her friends. The basket of apples weighed ppp pounds. Before she had time to make the pies, she ate 333 pounds of apples. There are 171717 pounds of apples left to make pies.
Answer:
The equation to describe the situation is [tex]p-3=17.[/tex]
And, the total weight of the basket of apples was 20 pounds.
Step-by-step explanation:
The question is incomplete so, the complete question is below:
Liang bought a basket of apples to make pies for her friends. The basket of apples weighed p pounds. Before she had time to make the pies, she ate 3 pounds of apples. There are 17 pounds of apples left to make pies. Write an equation to describe this situation. What was the total weight of the basket of apples?
Now, to write an equation to describe the situation. And to find the total weight of the basket of apples.
So, the basket of apples total weighed = [tex]p\ pounds.[/tex]
Liang ate apples weighed = 3 pounds.
And the apples left for the pies weighed = 17 pounds.
Now, to write an equation describing the situation:
[tex]p-3=17.[/tex]
Thus, the equation is [tex]p-3=17.[/tex]
Now, to get the total weight of the basket of apples:
[tex]p-3=17\\\\Adding\ both\ sides\ by\ 3\ we\ get:\\\\p=20[/tex]
Hence, the basket of apples total weighed = 20 pounds.
Therefore, the equation to describe the situation is [tex]p-3=17.[/tex]
And, the total weight of the basket of apples was 20 pounds.
For this question please tell me if I'm right or wrong. If I'm wrong please correct me.
Please use the following image below in order to answer the question correctly:
Tell whether JL is best described as a radius, chord, diameter, secant, or tangent of ⊙P.
What can JL be best described as?
Please show all the work on how you got your answer. ( I'm not asking for an explanation. All I want is the work shown so I can understand how you got your answer)
Answer:
Your Wrong (Tangent)
Step-by-step explanation:
A tangent is a straight line that touches the curve, like the curve part of the circle. I posted an image so you could see an example.
Answer:
E) tangent
Step-by-step explanation:
JKL is a straight line which touches the circle at one point, so it's a tangent
Question Progress
Homework Progress
Sub
Describe fully the single transformation that maps triangle A onto triangle B.
-
।
Answer:
it is b
Step-by-step explanation:
Krutika, David and Mark share some sweets in the ratio 3:1:5. Krutika gets 33 sweets. How many more sweets does mark get over david?
Answer:
44
Step-by-step explanation:
33÷3 = 11
11×1 =11(David)
11×5=55(Mark)
55-11=44
Zach read a book for 10 minutes every weekend in the first month, 20 minutes in the second month, 40 minutes in the third month, and 80 minutes in the fourth month. Victoria read a book for 35 minutes every weekend in the first month, 50 minutes in the second month, 65 minutes in the third month, and 80 minutes in the fourth month. Which statement best describes the methods used by Zach and Victoria to increase the time they spent reading a book? (1 point)
Answer:
B) Victoria's method is linear because the number of minutes increased by an equal number every month.
Step-by-step explanation:
Zach reading time written in sequence form is given as:
10,20,40,80,...Each succeeding term is a product of the previous term by 2Victoria reading time written in sequence form is given as
35,50,65,80...Each succeeding term is an addition of 15 Minutes to the previous term.The statement that best describes the methods used by Zach and Victoria to increase the time they spent reading a book is therefore:
B) Victoria's method is linear because the number of minutes increased by an equal number every month.
Answer:
B
Step-by-step explanation:
Find the area. Answer without units.
Answer:
28
3.5*8
Step-by-step explanation:
Base multiply height
En el experimento Extraer una carta de una baraja española se consideran estos sucesos: A= 《Salir as 》 B= 《salir bastos 》 Calcula A U B y A interseccion B. ¿Son compatibles A y B ?
Answer:
They are compatible
Step-by-step explanation:
The first thing is to say that an "ace" and that it is a "coarse"
"ace" is card number 1. Group A
"coarse" is a type of the deck, found from number 1 to card 13. Group B
Thus:
Calculate A U B:
1 to 13 + 1 of the other types of cards in the deck.
At intersection B:
1 of "coarse"
Therefore, if group A is compatible with group B
We are standing on the top of a 960 foot tall building and launch a small object upward. The object's vertical altitude, measured in feet, after t seconds is h ( t ) = − 16 t 2 + 64 t + 960 . What is the highest altitude that the object reaches?
Answer:2 seconds s(2) max ht = 264 ft two answer pick one at least
Step-by-step explanation:
..A person standing cloes to the edge on the top of a 200-foot building throws a baseball ... t = -b/2a t = -64/-32
The highest altitude the object reaches is 1024 feet.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
h(t) = -16t² + 64t + 960
Now,
h'(t) = -16 x 2t + 64 = -32t + 64
h''(t) = -32
This means,
h(t) has a maximum altitude at h'(t) = 0
Now,
h'(t) = 0
-32t + 64 = 0
-32t = -64
t = 2
Now,
h(2) = -16 x 2² + 64 x 2 + 960
h(2) = -16 x 4 + 128 + 960
h(2) = -64 + 128 + 960
h(2) = 1024 feet
Thus,
The highest altitude is 1024 feet.
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The number of absences for one week for all students at a high school were compiled, and the probability distribution below was created. What is the probability in any given week that a randomly selected student will be absent no more than one day? Probability Distribution Days Absent: X Probability: P(X) 0 0.78 1 0.14 2 0.03 3 0.01 4 0 5 0.04 0.08 0.14 0.78 0.92
Answer:
Option D) 0.92
Step-by-step explanation:
We are given the following probability distribution in the question:
x: 0 1 2 3 4 5
P(X): 0.78 0.14 0.03 0.01 0 0.04
We have to find the probability that a randomly selected student will be absent no more than one day.
Thus, we have to evaluate:
[tex]P(x\leq1)\\=P(X=0) + P(X = 1)\\=0.78 + 0.14\\=0.92[/tex]
0.92 is the probability that a randomly selected student will be absent no more than one day.
Thus, the correct answer is
Option D) 0.92
Answer:
Option D
Step-by-step explanation:
got it right on edg
Can you please help me find the area?
Answer:
40 in
Step-by-step explanation:
A= l x w
2 x 9 = 18
2 x 11 = 22
Then add together because the shape is together:
18 + 22 =
40
Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 464 randomly selected adults showed that 64% of them would erase all of their personal information online if they could. Find the value of the test statistic.
Answer:
The value of the test statistic = 6.03
Step-by-step explanation:
The test statistics for a proportion of the population is the z calculated as follows;
[tex]z=\frac{\hat{p}-p}{\sqrt{\frac{pq}{n}}}[/tex]
Where:
[tex]\hat{p}[/tex] = 0.64
From the rule of large numbers we have, the proportion of adults who will erase their information online will tend towards 1/2 or 0.5 therefore, we have
p = 0.5 as the test
q = 1 - p = 1 - 0.5 = 0.5
n = Sample size = 464
Therefore, z is given by;
[tex]z=\frac{0.64-0.5}{\sqrt{\frac{0.5 \times 0.5}{464}}}[/tex]
= 6.03
The value of the test statistic = 6.03.
Follow these steps using the algebra tiles to solve the equation -5x + (-2) = -2x + 4
Answer:
x=-2
Step-by-step explanation:
−5x−2+2x=−2x+4+2x
−3x−2=4
Step 2: Add 2 to both sides.
−3x−2+2=4+2
−3x=6
Step 3: Divide both sides by -3.
−3x
−3
=
6
−3
x=−2
Answer:
x=-2
Step-by-step explanation:
What is the volume of a cylinder with a base radius 3 and hight 8
Answer:
Solution
V=πr2h=π·32·8≈226.19467
Step-by-step explanation:
The points J(-1,-9) and K(5,1) are endpoints of a diameter of circle S. Which equation represents circle S?
Answer:
(x -2)² +(y +4)² = 34
Step-by-step explanation:
The center of the circle is the midpoint of the line segment:
S = (J +K)/2 = ((-1, -9) +(5, 1))/2 = (4, -8)/2 = (2, -4)
The radius of the circle is the distance between the center and either end point. We want the square of the radius for our formula.
r² = (5 -2)² +(1 -(-4))² = 9 +25 = 34
The equation of a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
Using the numbers we have found, the equation for circle S is ...
(x -2)² +(y +4)² = 34
Answer:
(x-2)² + (y+4)²=34
Step-by-step explanation:
I got this answer right on my test :)
You wonder if TV ads are more effective when they are longer or repeated more often or both. So you design an experiment. You prepare 30-second and 60-second ads for a camera. Your subjects all watch the same TV program, but you assign them at random to four groups. One group sees the 30-second ad once during the program; another sees it three times; the third group sees the 60-second ad once; and the last group sees the 60-second ad three times. You ask all subjects how likely they are to buy the camera. (a) This is a randomized block design, but not a matched pairs design. (b) This is a matched pairs design. (c) This is a completely randomized design with one explanatory variable (factor). (d) This is a completely randomized design with two explanatory variables (factors). (e) This is a completely randomized design with four explanatory variables (factors).
Answer:
d) This is a completely randomized design with two explanatory variables (factors).
Step-by-step explanation:
Explanatory variables are independent variables.
In this case, I prepared two explanatory variables, which are : (i)30-second ad
(ii) 60-second ad,
Then, the explanatory variables were assigned to 4 treatment groups, and each variable is done once or thrice.
All subjects are assigned randomly to all treatment groups, with each treatment group seeing one. We can conclude that this is a completely randomized design with two explanatory variables.
Last week, Kip went to the fair. It costs $4.34 to enter the fair and $0.75 per ticket. If Kip spent $18.59 at the fair, how many tickets did he buy?
Answer:
He bought 19 tickets
Step-by-step explanation:
first you subtract $4.35 from $18.59 and the answer would be $14.25
then u take $14.25 and divide it by $0.75 and the answer from that would be 19
then the 19 would be the tickets
your done
is 2 hours and 30 minuets more or less than 10%of a day. Explain your reasoning
Answer:
More
Step-by-step explanation:
because 2 hours and 30 min is 2.5 10 percent of a day is 2.4 so more
Penny is planning a baby shower for her daughter-in-law. The restaurant charges $950 for up to 25 guests, plus $31.95 for each additional guest. How many guests can attend if Penny wants the total cost to be no more than $1,500?
Answer:
42
Step-by-step explanation: I subtracted 950 from 1500 and that left me with 550 that i divided by 31.95 which left me with 17... but we keep it at 17 because we can't have half of a guest. Then you would add 17 to the 25 other guests you are paying for the answer of 42
Answer:
42
Step-by-step explanation:
1500-950=550
550÷32=17
17+25=42 guests
I need help on this look at picture above. Intercepts. I need help ASAP.
Answer:
(0, -6/5)
(-3, 0)
Step-by-step explanation:
y-intercept is when x is 0.
x-intercept is when y is 0.
Answer:
y-intercept: (-3,0)
x-intercept (0,-1.2)
Step-by-step explanation:
What is the slope between the points (4,–1) and (–4,3)?
The formula for slope is [tex]\frac{rise}{run} = \frac{y2-y1}{x2-x1}[/tex].
Subtract y1 from y2. (y1= -1, y2 = 3)
3 - -1 = 4
Now subtract x1 from x2. (x1 = 4, x2 = -4)
-4 -4 = -8
Divide the difference between the y coordinates by the difference between the x coordinates.
[tex]\frac{4}{-8}[/tex] or 4 ÷ -8 = -0.5
Answer:The slope between the two points is -0.5.
Hope this helpsss
The slope between the points (4, –1) and (–4, 3) is calculated using the slope formula and is found to be –0.5.
Explanation:The slope of the line passing through the points (4,–1) and (–4,3) is calculated using the slope formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. For the given points:
y2 = 3y1 = –1x2 = –4x1 = 4Plugging these into the formula gives:
m = (3 - (–1)) / (–4 - 4) = 4 / –8 = –0.5.
The slope between the points (4, –1) and (–4, 3) is –0.5.