Ortega is trying to fill three bags equally with sand. He wants the bags to weigh the same. If the bags currently weigh 55 pounds, 51 pounds, and 48 pounds. Can Ortega get each bag to weigh the same by moving the weight around?
Answer:
yes
Step-by-step explanation:
The average weight of the three bags is ...
(55 +51 +48)/3 = 154/3 = 51 1/3 . . . pounds
By removing 3 2/3 pounds of sand from the heaviest bag, adding 1/3 pound to the middle-weight bag, and the remaining 3 1/3 pounds to the lightest bag, Ortega can make all of the bags weigh the same: 51 1/3 pounds.
True or false: y=x3−4 is a linear equation. A true B false
false because it is formed wrong
Final answer:
The equation y = x^3 - 4 is not a linear equation because it contains a cubic term (x^3), which means the graph is a curve, not a straight line. Therefore, the correct answer is false.
Explanation:
The equation y = x3 − 4 is not a linear equation. A linear equation is one in which every term is either a constant or the product of a constant and the first power of a variable. In the given equation, the term x3 indicates that it is a cubic term because the value of x is raised to the power of three, suggesting that the graph of this equation would be a curve, not a straight line. Therefore, the correct answer is false.
Linear equations have the general form y = mx + b, where 'm' is the slope and 'b' is the y-intercept. Examples of linear equations include y = −3x, y = 0.2 + 0.74x, and y = −9.4 − 2x, which can all be graphed as straight lines. In contrast, an equation like y = x3 − 4 does not fit this form and therefore is not considered linear.
I need help graphing on this number line
Answer:
1 is c
2 is b
3 is d
4 is a
Step-by-step explanation:
Open circle is 'less than' or 'greater than'.
Closed (shaded) circle is 'less than or equal to' or 'greater than or equal to'.
What is 19+11+77-2/10? for math points
Answer: 19 + 11 = 30 + 77 = 107 - 2/10 = 106.8
If you're confused by the fraction just do 2 divided by 10 and you should get 0.2.
So, instead of doing 2/10 you can do:
19 + 11 = 30 + 77 = 107 - 0.2 = 106.8
Have a good day!
Find: P (Red and Small)
Answer:
3/10
Step-by-step explanation:
A smaller triangle is cut out of a larger triangle. The larger triangle is a right triangle with side lengths of 5 millimeters and 12 millimeters. The smaller triangle has side lengths of 4 millimeters and 3 millimeters.
What is the area of the shaded region?
21 mm2
24 mm2
42 mm2
48 mm2
Answer:
Sorry if this is late, but it's 24mm2
Step-by-step explanation:
i got a 100 on the quiz
The area of the shaded region, if a smaller triangle is cut out a larger triangle is 24 mm²
What is an equation?An equation is an expression that shows the relationship between two or more number and variables.
Area of the larger triangle = (1/2) * 5 mm * 12 mm = 30 mm²
Area of the smaller triangle = (1/2) * 4 mm * 3 mm = 6 mm²
Area of shaded region = 30 mm² - 6 mm² = 24 mm²
The area of the shaded region, if a smaller triangle is cut out a larger triangle is 24 mm²
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A pet store makes a 60% profit on sales. The manager wants the store to make over $6,000 in profit each month. Describe the inequality and the graph of the solution to find the minimum amount of sales the store must have each month to reach the goal.
The inequality is .
The graph of the solution is .
The inequality is : 0.6x > 6000. The graph of the solution is : open circle at 10,000; arrow right
Thats the right answer it told me
Answer:
The inequality is
✔ 0.6x > 6000
.
The graph of the solution is
✔ open circle at 10,000; arrow right
Step-by-step explanation:
Only 3 years late ;)
Plz help! Question is in the picture! 10 point reward!
Answer:
1, 8.4
Unit rate: 8.4 feet per second
Step-by-step explanation:
To find the unit rate you divide the time by the distance, therefore with 8.4 it's easy to find the unit rate! :) Hope this helps! If it did, rate brainliest
A shipping clerk will ship an order of 200 batteries so long as three randomly selected batteries work. Past data has shown that five out of 200 batteries are defective. What is the probability that the clerk will ship the order?
Answer:
0.9264999239
Step-by-step explanation:
chance that first battery that is being checked works is 195/200
chance that second battery that is being checked works is 194/199
chance that third battery that is being checked works is 193/198
propabilty that the clerk ships the order is (195/200)×(194/199)×(193/198)
=0.9264999239
How are ridge transformations are congruent figures related ?
Answer:
uh im not in that grade yet so ye
Step-by-step explanation:
It took a skydiver 5 seconds to drop 400 feet. What is the
rate (in feet per/second) of the skydiver's drop?
80 feet per second
Step-by-step explanation:
just divide the amount he fell by the amount of time it took so you would take 400/5 and get the answer
Answer:
80
Step-by-step explanation:
If it took him 5 seconds to drop 400 feet then you have to divide it by 5 to determine the rate he can drop a certain amount of feet per second.
Can someone pls help me
Answer:
behaviour
Step-by-step explanation:
There are 4 blueberry, 6 raisins, and 2 plain bagels in a bag. Mike randomly selects two bagels without replacing the first bagel. Find the probability that he selects a raisin bagel and then a plain bagel
Answer:
The probability that he selects a raisin bagel and then a plain bagel is [tex]\frac1{11}[/tex].
Step-by-step explanation:
Probability:
The ratio of the number of outcomes of favorable event to total number of all possible outcomes is called probability of the favorable event.
[tex]Probability=\frac{\textrm{The number of favorable outcomes}}{\textrm{Total number of all possible}}[/tex]
Given that, there are 4 blueberry, 6 raisins and 2 plain bangles in a bag.
Total number of bangles= (4+6+2)
= 12
The probability that he selects a raisin
[tex]=\frac{\textrm{Number of raisin bangles}}{\textrm{Total number of bangles}}[/tex]
[tex]=\frac{6}{12}[/tex]
[tex]=\frac12[/tex]
Total number of remaining bagels is =(12-1)=11
After selecting a raisin bagel,the probability that he selects a plain bangle is
[tex]=\frac{\textrm{Number of plain bangles}}{\textrm{Total number of bangles}}[/tex]
[tex]=\frac{2}{11}[/tex]
Selecting of a raisin bangle and a plain bangle are both independent event.
The probability that he selects a raisin bagel and then a plain bagel is
[tex]=\frac{1}2\times\frac{2}{11}[/tex]
[tex]=\frac1{11}[/tex]
Tickets to the school dance cost $3.00 in advance or $5.00 at the
door. There were a total of 184 tickets sold, raising $688. How many tickets
were sold at the door?
Answer:
68 tickets
Step-by-step explanation:
This is a problem that involves a system of equations, the first step is to define your variables and write equations to represent the situation.
x = number of advance tickets
y = number of door tickets
x + y = 184
3x + 5y = 688
Next, you need to solve for one variable, based on how these equations are written, the best method would be to solve by multiplication.
-3(x + y = 184) (multiply equation by -3)
-3x - 3y = -552
Now we need to combine the two equations together
3x + 5y = 688
-3x - 3y = -552
From here we can eliminate the x variable when subtracting the equations, this results in:
2 y = 136
y = 68
Therefore, 68 tickets were sold at the door.
In a scale drawing of a law office, 1/4 inch represents 4 1/2 feet. If the actual length of the conference room is 30 3 5 feet, what is the length of the conference room, in inches, on the scale drawing?
Answer:
tbh im not sure but i think the answer is 30 ft
Step-by-step explanation:
Hey ya'll don't scroll please, just look at the attachment and answer every single question please- thank you very much.
I need this done in 15 minutes so it would really really help. Also I have made my 11th account this week regarding this question so just please answer it for me- thanks girlie.
Lindsay used two points, (x 1, y 1) and (x 2, y 2), to find the equation of the line, y = mx + b, that passes through the points. First, she used the definition of slope and determined that the value of m is StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction. Given this information, which expression must represent the value of b?
Answer:
tb i think its A
Step-by-step explanation:
Answer:
It is A
Step-by-step explanation:
Mr. Ishimoto needs to replace the grass in the section of his lawn that is shown below.
A grass section can be broken into 2 rectangles. 1 rectangle has a base of 7 feet and height of 3 feet. The other rectangle has a base of 2 feet and height of 7 feet.
If the new grass costs $0.40 per square foot, how much will the grass cost Mr. Ishimoto?
$14.00
$16.40
$35.00
$41.00
Answer:
The replacing the grass will cost Mr. Ishimoto $14.00.
Step-by-step explanation:
The area of a rectangular field is:
[tex]\text{Area}=\text{height}\times \text{base}[/tex]
It is provided that Mr. Ishimoto needs to replace the grass in the section of his lawn.
The grass section can be broken into 2 rectangles.
First rectangle: Base = 7 feet and Height = 3 feet.
Second rectangle: Base = 2 feet and Height = 7 feet.
Compute the area of both the rectangles as follows:
[tex]\text{Area}_{1}=\text{height}_{1}\times \text{base}_{1}\\=3\times 7\\=21[/tex] [tex]\text{Area}_{2}=\text{height}_{2}\times \text{base}_{2}\\=7\times 2\\=14[/tex]
Now the cost of the new grass is $0.40 per square foot.
Compute the cost of replacing the grass in the first rectangular section as follows:
[tex]\text{Cost of new grass for section 1}=\text{Area}_{1} \times\$0.40\\[/tex]
[tex]=21\times \$0.40\\=\$8.40[/tex]
Compute the cost of replacing the grass in the second rectangular section as follows:
[tex]\text{Cost of new grass for section 2}=\text{Area}_{2} \times\$0.40\\[/tex]
[tex]=14\times \$0.40\\=\$5.60[/tex]
The total cost of replacing the grass is:
[tex]\text{Total cost}=\text{Cost of new grass for section 1}+\text{Cost of new grass for section 2}[/tex]
[tex]=\$8.40+\$5.60\\=\$14.00[/tex]
Thus, the replacing the grass will cost Mr. Ishimoto $14.00.
Answer
14.00
Step-by-step explanation:
Write the number 7.748 x 10-5 in standard form.
OA. 0.0007748
OB. 774,800
OC. 0.000007748
D. 0.00007748
find the value of each variable
Answer:
x = 12[tex]\sqrt{2}[/tex]
y = 12
z = 12[tex]\sqrt{3}[/tex]
Step-by-step explanation:
The triangle with z as one of it's sides is a 30, 60, 90 triangle where the longest side of the triangle is 2x, the shortest side as x, and the middle side as x*sqrt of 3.
The shared line between the two triangle is 12 and z is 12*sqrt of 3
The left triangle is a 45, 45, 90 triangle where the 2 sides that look the same are the same and the hypotenuse is x sqrt of 2 so y is 12 and x is 12 sqrt of 2
Answer:
x = [tex]12\sqrt{2}[/tex] units
y = 12 units
z = [tex]12\sqrt{3}[/tex] units
Step-by-step explanation:
Notice that the biggest triangle is broken up into a 45-45-90 isosceles triangle with hypotenuse x and leg y, as well as a 30-60-90 triangle with hypotenuse 24 and long leg z.
Let's focus on finding z first. Remember that in a 30-60-90 triangle, the ratio of the short leg to the long leg to the hypotenuse is: [tex]1:\sqrt{3} :2[/tex]. Here, the hypotenuse is 24 and z is the longest leg, so we have the proportion:
[tex]\frac{\sqrt{3} }{2} =\frac{z}{24}[/tex]
Cross-multiply:
[tex]24\sqrt{3} =2z[/tex]
z = [tex]12\sqrt{3}[/tex] units
Now, let's find the smallest leg of the 30-60-90 triangle; it is simply 24/2 = 12 units. Let's move onto x and y.
Remember that in a 45-45-90 triangle, the ratio of one leg to the second leg to the hypotenuse is: [tex]1:1:\sqrt{2}[/tex]. So, since y is a leg of this triangle and the smallest leg of the 30-60-90 triangle coincides with the second leg of the 45-45-90 triangle, y = 12 units.
Finally, x is found by multiplying 12 by [tex]\sqrt{2}[/tex]: 12 * [tex]\sqrt{2}[/tex] = [tex]12\sqrt{2}[/tex] units
Hope this helps!
If the mean of the data set is
4 bubbles, find the number of bubbles Hannah blew. khan academy
Answer: Hannah blew 1 bubble
Step-by-step explanation:
Mean * number of gum chewers= total bubbles
4*4=16
Let’s add up the numbers of bubbles that we do know.
4+5+6=15
16-15=1
Hannah blew 1 bubble
The number of bubbles Hannah blew can be expressed as 1
How can the number of bubbles Hannah blew be calculated?The study of variables and the formula manipulation principles is known as algebra. Its roots lie in the computation methods of ancient Babylonia, but now it is a mode of thinking that permeates practically all branches of mathematics.
Let number of bubbles Hannah blew =x
Then we can set up the equation as
[tex]\frac{1}{4} (4+5+6+x)=4[/tex]
15+x=16
x=16-15
x=1
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help someoneee!!!!
ill give a brainliest
Answer:
-13.5
Step-by-step explanation:
-4/3w=18
You would need to get the w by itself on one side so the easiest way to do so would be to divide both sides my -4/3.
This would give you an answer of w= -27/2 or w= -13.5
PLEASE HELP ITS URGENT
To factor a trinomial you must find the product of "a" and "b" and find the sum of "c"
True
False
Answer:
true
Step-by-step explanation:
The local newspaper has letters to the editor from
60
60 people. If this number represents
2
2% of all of the newspaper's readers, how many readers does the newspaper have?
Answer:
300 readers
Step-by-step explanation:
60/2=30
30X100=300
The total number of readers of a newspaper based on the percentage of people who wrote letters to the editor are 3000.
The number of readers the newspaper has is:
Number of readers = (60 / 0.02) = 3000 readers
Therefore, the newspaper has 3000 readers.
A 3 cm x 10 cm rectangle sits inside a circle with radius of 12 cm.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
Answer:
422.389 cm
Step-by-step explanation:
First you have to find the area of the circle then subtract it by the area of the rectangle. To find the area of the circle you have to square the radius then multiply it by 3.14.(12×12=144, 144× 3.14=452.389) Therefore 452.389 cm is the area of the circle. Area of the rectangle 30cm.
452.389 -30=422.389
The set of points in a plane that are equidistant from a given point is called
Answer:
Circle
Step-by-step explanation:
We have been given a definition and we have to identify this definition belongs to which shape.
Think of a shape which has a well defined center and all the points on its boundary are at an equal distance from the center. Only one such shape exists i.e. Circle.
The boundary of a circle is its Circumference. Each point on the circumference of a circle is at an equal distance from the center of the circle and this distance is known as the Radius of the Circle.
Therefore, the answer to this question is Circle.
Takumi started studying how the number of branches on his tree changes over time.
The relationship between the elapsed time, t, in years, since Takumi started studying his tree, and the total
number of its branches, N(t), is modeled by the following function:
N(t) = 63. 2
Complete the following sentence about the yearly rate of change in the number of branches.
Every year, the number of branches
grows/shrinks
by a factor of
Answer:
Grows, Factor of 2
Step-by-step explanation:
The relationship between the elapsed time, t, in years, since Takumi started studying his tree, and the total number of its branches, N(t), is modeled by the function:
[tex]N(t) = 63. 2^t[/tex]
For illustration, let us take the growth for the first three years after he started studying the number of branches.
[tex]When \:t=1, N(1) = 63. 2^1=126\\When \:t=2, N(2) = 63. 2^2=252\\When \:t=3, N(3) = 63. 2^3=504\\504\div 252=252\div 126=2[/tex]
We notice that for each subsequent year, the number of branches doubles.
Therefore:
Every year, the number of branches grows by a factor of 2.
Please help me now please
Answer:
0.4444444
Step-by-step explanation:
2/3 x 2/3 = 0.4444 repeating!
Hope this helps!
Find an equation equivalent to r=7csc theta in rectangular coordinates and describe the graph of the equation
Answer: B. Y=7 straight horizontal line
Step-by-step explanation:
Answer:
B : y = 7 straight horizontal line
Step-by-step explanation:
On edge