Answer:
30
Step-by-step explanation:
create a function where x is the money you insert in cents and y is the amount of gumballs you get.
y = x - 5 (meaning you get five less gumballs than the amount of cents you insert)
Therefore, when x = 35:
y = 35 - 5 = 30.
You will get 30 gumballs.
Malcolm buys a 5/6-pound bag of black beans and a 3/4-pound bag of pinto
Answer:
1 7/12Step-by-step explanation:
I think that you want to know how many total pounds of beans do you have.
Well, to find this, simply find the LCM of 6 and 4. That is 12.
So convert the fractions to have a denominator of 12.
10/12, 9/12
Now add:
(10+9)/12 = 19/12 = 1 7/12
There are 3000 bacteria in a dish. The population decreases by 20% per day. How many bacteria are left after 3 days?
Answer:
1536 bacteria
Step-by-step explanation:
3000×0.80³ = 1536
This is an exponential equation of the form
[tex]F=Ir^t \\ \\
F=3000(0.8)^3 \\ \\
F=1536[/tex]
3/5 of Alice's stickers is twice as many as Berniece's stickers. Alice has 56 more stickers than Bernice.
(a) Find the ratio of Alice's number of stickers to Bernice's number of stickers.
(b) How many stickers does Bernice have?
A store manager is inspecting two large bags of nuts. In bag A, 35% of the nuts are cashews. In bag B, 40% of the nuts are cashews. She selects a simple random sample of 30 nuts from bag A and a simple random sample of 35 nuts from bag B. What is the approximate probability that the proportion of cashews in the sample from bag A is greater than the proportion of cashews from bag B
Answer:
0.339
Step-by-step explanation:
In ΔXYZ, ∠Y=90° and ∠X=16°. ∠ZWY=42° and XW=260. Find the length of ZY to the nearest integer. (9th grade honors geometry)
Step-by-step explanation:
[tex] \tan(16) = \frac{y}{260 + x} \\ (260 + x) \times \tan(16) = y \\ 74.55 + 0.286x = y \\ y = 0.286x + 74.55[/tex]
[tex] \tan(42) = \frac{y}{x} \\0.9 x = y[/tex]
[tex]0.9x = 0.286x + 74.55 \\ 0.614x = 74.55 \\ x = 121.42[/tex]
[tex]y = 0.9x \\ y = 109.27 = 109[/tex]
The length of ZY is [tex]109.27[/tex]
What is Trigonometry?
Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies.
What is length?
Length is a measure of distance. In the International System of Quantities, length is a quantity with dimension distance. In most systems of measurement a base unit for length is chosen, from which all other units are derived. In the International System of Units system the base unit for length is the meter.
According to question, In ΔXYZ, ∠Y=90° and ∠X=16°. ∠ZWY=42° and XW=260.
We have to find the the length of ZY.
Let the length of ZY be [tex]x[/tex] and WY be [tex]y[/tex]
From the given question and figure
[tex]tan16[/tex]°[tex]=\frac{y}{260+x}[/tex]
⇒[tex]tan16[/tex]°×[tex](260+x)=y[/tex]
⇒[tex]y=0.286x+74.55[/tex]
Now,[tex]tan42[/tex]°[tex]=\frac{y}{x}[/tex]
⇒[tex]y=0.9x[/tex]
From both the above equation,
[tex]0.9x=0.286x+74.55[/tex]
⇒[tex]x=121.42[/tex]
[tex]y=0.9x=109.27[/tex]
Hence, we can conclude that the length of ZY is [tex]109.27[/tex]
Learn more about trigonometry here:
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PLEASE HELP GEOMETRY
Answer:
2x=8
x=4
Step-by-step explanation:
A contractor claims the mean value of his compression test is 6500 psi and has astandard deviation of 500 psi. You attempt to check this by taking 8 sample measurements and findyour average is 5900 psi. If your levelof significance is 0.01, would you believe the means are the same
Answer:
This value of 5675 psi by the contractor is safer than 5487.5 psi as it is of lesser value.
Step-by-step explanation:
The following parameters are given from the question above. These information is used in solving this problem.
=> The mean value of his compression test = 6500 psi, the standard deviation = 500 psi, the average of the mean = 5900 psi and the number of sample measurements = 8.
The first thing to do right now is to determine the characteristic strength, this can be calculated as below:
Characteristic strength= average of the mean - (1.65/2) × standard deviation.
Characteristic strength = 5900 - (0.825) × 500 = 5487.5 psi.
The next thing to do is to Determine the target mean strength.
Target mean strength = 5487.5 psi + 1.65 × 500 = 6312.5 psi.
The above is from taking samples from 8 samples.
Now, let's consider the characteristic strength by the contractor.
Characteristics strength = 6500 - 165 × 500 = 5675 psi.
This value of 5675 psi by the contractor is safer than 5487.5 psi as it is of lesser value.
2 i A rectangular swimming pool has a length of L yards and a width 4 yards less than its length. How much does it cost to border the outside of the pool using 1-yard square tiles that cost $6 each? • (4L-4) dollars • (24L – 24) dollars •(24L – 32) dollars •(24L - 48) dollars
Step-by-step explanation:
w= L-4
$(24L-48)
......
solving for a what's the answer D=Ga+3h^3a
Answer:
x+1>9 hahaahah........
beckys weight is 12% less than Bill's weight. Then Bill's weight is what percent of Becky's?
Answer:
whats the total wight of each person
Step-by-step explanation:
Which graph represents the function?
f(x)={3ifx<1xifx≥1
Answer: The graph in the bottom right corner.
Step-by-step explanation:
We have the function:
f(x) = 3 if x < 1.
f(x) = x if x ≥ 1
First, let's analyze each part of the function:
f(x) = 3 if x < 1.
We have a constant line y = 3, such that it ends at the point x = 1 with an open dot (or white dot) (because here we have the symbol <)
f(x) = x if x ≥ 1
From x = 1 and on, we have the line y = x, such that in the point x = 1 we will have a closed dot (or black dot) that means that the point does belong to the graph.
when x = 1, we have:
f(1) = 1
Then we will have the closed dot at the point (1, 1)
Then the correct option is the one in the bottom right.
Answer:
The answer is The graph on the bottom right
good luck!
Guys is my answer correct ?
Answer:
Yeppers Peppers. (That means yes)
Step-by-step explanation:
You did a good job on that. Good work!
If Pooh Bear spots a bee hive in a tree at an angle of elevation of 48 degrees, then what is the angle of depression of the Queen Bee who's on that same hive spots Pooh Bear? (Answer in degrees.)
Answer:
∅ = 90 - 48 = 42°
Step-by-step explanation:
Two number cubes are rolled sequentially. What is the probability that the first number cube shows a two or a three and the other number cube shows an even number?
Answer:
1/6
Step-by-step explanation:
The probability that the first number cube shows a two or a three is 2/6 = 1/3
The probability that the other number cube shows an even number is 3/6 = 1/2.
1/2 * 1/3 = 1/6
Find the midpoint of the line segiment with the given endpoints. (-9,-7) and (-8,-5)
Answer:
what's your question I am not understanding
Please help i will give brainliest
Answer:
Step-by-step explanation:
area of rectangle = 8×5 = 40 cm²
area of semicircle = ½×π4² = 8π cm²
total area = 40 + 8π ≅ 65.1 cm²
:::::
area of circle = π2² = 4π in²
area of square = 4⁴ = 16 in²
blue area = 16 - 4π ≅ 3.4 in²
Given that 2x – 7y = 30
Find y when x = = -3
Give your answer as an improper fraction in its simplest form.
y =
Answer:
x = -3; substitute it to the other equation.
2(-3) - 7y = 30
-6 - 7y = 30
-7y = 30 + 6
-7y = 36
y = -36/7
we will not round the number because the question is asking for an improper fraction at its simplest form.
Answer:
5.1
Step-by-step explanation:
2*-3 - 7y =30
-6 + 7y = 30
7y = 30 + 6
y = 36 / 7
i.e. y = 5.1
The Pythagorean theorem applies to
triangles
obtuse
right
acute
Answer:
Right triangles
Step-by-step explanation:
Answer:
Right Triangles
I need help with this
look at picture
Complementary angles
Answer:
77
Step-by-step explanation:
48 + (x-35) = 90
x-35 = 90-48
x-35 = 42
x = 42+35
x = 77
Original Price: $90 Sale Price: $58.50
(Find the percent of increase)
Answer:
The answer is 35% increase
Can someone help plzzz!!!
Answer:
4
Step-by-step explanation:
4•4•4 = 64
Answer:
4
Step-by-step explanation:
cubic root of 64 is 4, since 4^3 = 64
the perimeter of the rectangle ia 74 inches it is 27 inches wide how deep is it
Answer:
10 inches
Step-by-step explanation:
Assuming that by 'deep' you mean length, we can set up a simple algebraic expression to solve this problem. We know that a rectangle has 4 sides, 2 of them equal sides, and all of those sides added up equals the perimeter. To say that algebraically, [tex]2a+2b=p[/tex]. We can fill in the blanks on this equation to solve.
[tex]2(27)+2b=74\\\\54+2b=74\\2b=20\\b=10[/tex]
The length of the other side is 10 inches.
Hope this helped!
Paul was thinking of a number. Paul divides by 3, then adds 10 to get an answer of 2. What was the original number?
Answer:
-24
Step-by-step explanation:
let 'n' = the number
n/3 + 10 = 2
n/3 +10 - 10 = 2 - 10
n/3 = -8
n = -24
Answer:
x= -24
Step-by-step explanation:
let the number be x
x/3 +10=2
Multiply through by 3
3 * x/3 + 3 *10 = 2*3
x + 30 = 6
x= 6 - 30
x= -24
note * = multiplication sign
A environmental initiative has the goal of saving at least 25 million hectares of rainforest through both planting trees and purchasing land. The cost of planting trees is $400 per hectare, and the cost of purchasing land is $260 per hectare. If the initiative has a budget of $8,250 million, which of the following is a possible way for the initiative to accomplish its goal without exceeding its budget?
Answer:Planting trees on 7 million hectares of land and purchasing 20 million hectares of land
Step-by-step explanation:
Planting trees on 7 million hectares of land and purchasing 20 million hectares of land
What is an Expression?
An expression is a number, a variable, or a combination of numbers and variables and operation symbols
How to solve it?Planting trees on 7 million hectares of land and purchasing 20 million hectares of land
Learn more about the expression:
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In a 30°-60°-90° triangle, the length of the hypotenuse is 30. Find the length of the shorter leg.
Answer:
15
Step-by-step explanation: I believe that's the answer because the hypotenuse in a 30 60 90 is x2 and 15x2=30
Answer:
15
Step-by-step explanation:
what is the value of 2/3 the power of 3
Answer:
The answer is 2 hope this helped!
Step-by-step explanation:
is 2.58 greater than or less than 2.7 there decimals and it's 4th grade and it's math
Answer:
2.58 is less than 2.7
Step-by-step explanation:
graph rational number of 0.9, -2/1/2, 0.25, -3/4 in number line
Answer:
Step-by-step explanation:
Given the rational number :
0.9, -2/1/2, 0.25, -3/4
Converting all to decimal;
0.9 = 0.9
-2 1/2 = - 2.5
0.25 = 0.25
-3/4 = - 0.75
Kindly check the ttcjed picture for the number line graoh
Find the area of the composite figure.
Answer:
Step-by-step explanation:
84
Step-by-step explanation:
refer to the above attachment please
Question 1.
5x+2y=-7
15x+6y=21
No solution, One solution, or infinite solution?
Question 2.
Y=2x+1
2x-4=1
No solution, one solution, or infinite solution?
Question 3.
6x+4y=10
3x+2y=5
No solution, one solution, or infinite solution?
Answer:
Q1: no solution
Q2: one solution
Q3: infinite solutions
Step-by-step explanation:
Question 1
Answer: No solution
-------------------
Explanation:
Multiply both sides of the first equation by 3. Doing so leads to
3*(5x+2y) = 3*(-7)
15x+6y = -21
The second equation is 15x+6y = 21
Let's say we let z = 15x+6y
This means the system
[tex]\begin{cases}15x+6y = -21\\15x+6y = 21\end{cases}[/tex]
becomes
[tex]\begin{cases}z = -21\\z = 21\end{cases}[/tex]
but we can't have z be equal to more than one value at a time. We have a contradiction and therefore there are no solutions.
===============================================
Question 2
Answer: One solution
The solution is (x,y) = (5/6)
-------------------
Explanation:
Apply substitution
2x - 4y = 1
2x - 4(2x+1) = 1
2x - 8x - 4 = 1
-6x - 4 = 1
6x = 1+4
6x = 5
x = 5/6
Then use this to find y
y = 2x+1
y = 2(5/6)+1
y = 5/3 + 1
y = 5/3 + 3/3
y = 8/3
The one solution is (x,y) = (5/6)
===============================================
Question 3
Answer: Infinitely many solutions
-------------------
Explanation:
Multiply both sides of the second equation by 2
3x+2y = 5 becomes 2*(3x+2y) = 2*5 which turns into 6x+4y = 10
This is exactly identical to the first equation of the original system given.
So both equations represent the same thing. We have infinitely many intersection points, and infinitely many solutions.
All of these solutions are on the line 3x+2y = 5