A birdbath is filled to the top. On Day 1, the volume of water in the bowl decreases by 7/8 cup. On Day 2, the volume in the bowl decreases by 3/4 cup. What number represents the total change in the volume of water in the bowl after two days? Write your answer as a mixed number.
Answer:
-1 5/8
Step-by-step explanation:
Let the total amount in the bowl be x;
If on Day 1, the volume of water in the bowl decreases by 7/8 cup, the remaining water will be;
x - 7/8
If on day 2, the volume in the bowl decreases by 3/4 cup, the remaining volume of water after the second day will be;
= x - 7/8 - 3/4
= x - (7-2(3))/8
= x - (7+6)/8
= x - 13/8
This shows that the total change after the two days is -13/8
As a mixed fraction;
-13/8 = -1 5/8
Evaluate f(x)= -3x+8 at the following values.
Box #1: x=3
Box #2: x=0
Box #3: x=-2
High school idk why it says college
Answer:
Box 1= 1
Box 2 =-8
Box 3= -2
Step-by-step explanation:
Plug in the numbers that are provided where you see x
-3(x) +8 x=3
Find the equation of the linear function represented by the table below in slope-intercept form.
In a survey of 3500 people who owned a certain type of car, 1750 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:%-0.175
Step-by-step explanation: subtract 17.5 percent - 35 percent
Which word describes the slope of the line?
positive
negative
zero
undefined
Answer:
Negative
Step-by-step explanation:
the slope in this equation is negetive as it is pointing in a downwards position.
Zero would be horizontal, undefined would be vertical and positive would be going in an upwards motion
Answer:
b
Step-by-step explanation:
aye
will make brainliest answer!!
If f(x) = 3x-2 and g(x) = 2x+1, find (f+g)(x)
A. x-3
B. x-1
C. 5x-1
D. 5x-3
Answer:
C. 5x - 1Step-by-step explanation:
Givenf(x) = 3x-2 and g(x) = 2x+1To find (f+g)(x)Solution(f+g)(x) =f(x) + g(x) =3x - 2 + 2x + 1 =5x - 1What are the slopes to these ? please answer
Which point is on the graph of f(x)=|x-6|+7?
(5,8)
(8,10)
(6,9)
(3,11)
(4,12)
Answer:
(5, 8)
Step-by-step explanation:
Convert the f(x) = to a y =
f(x) = | x - 6 | + 7
y = | x - 6 | + 7
Plug in the values and prove
y = | x - 6 | + 7
(5,8)
8 = | 5 - 6 | + 7
8 = | -1 | + 7
8 = 1 + 7
8 = 8; true
(8,10)
10 = | 8 - 6 | + 7
10 = | 2 | + 7
10 = 2 + 7
10 = 9; false
(6, 9)
9 = | 6 - 6 | + 7
9 = | 0 | + 7
9 = 0 + 7
9 = 7; false
(3, 11)
11 = | 3 - 6 | + 7
11 = | -3 | + 7
11 = 3 + 7
11 = 10; false
(4, 12)
12 = | 4 - 6 | + 7
12 = | -2 | + 7
12 = 2 + 7
12 = 9; false
Therefore the only one which falls on the graph is (5, 8)
Hope this helps :)
What is 2 1/2 feet to inches?
Actual question:
1 foot=12 inches
2 1/2 feet= blank inches
IREADY!!
thanks :)
Can a quadratic have one real and one non real root
Answer:
Yes, it is possible. We already know that complex roots exist in conjugate pair but the case is true only when the equation has real coefficients. But on the other hand, if the equation has complex coefficients, then it is possible to attain one real and one complex root.
Hey all, can I get the answer + explanation for this? Would be much appreciated.
Much love,
Vic
Answer:
x = 120
Step-by-step explanation:
Let's draw an imaginary dot in the middle of that line which runs between those two parallel lines, and now lets look at it as an angle.
This lines' angle is 180 degrees. Now lets move those two parallel lines together on the imaginary dot in the middle.
We can see that on the left side is one degree and the other side is another, however when we put them together we get the angle measurement of the our line which we identified was 180.
Now that we can see that our two angles must equal 180 when put together we know and can say that:
40 + (x + 20) = 180
So, lets work this out like basic algebra now.
40 + x + 20 = 180
x + 60 = 180
- 60 - 60
x = 120
And voila we have our x value.
Hope this helps :)
I am rin pre-K and there givrung us math I can’t doe
Answer:
since your in pre-k bud x+y+z = abc :)
Step-by-step explanation:the alphabet ends in xyz so it only makes sense for the answer to be abc
this is totally correct:)
The school is 3.64 miles from Tonyas house and 1.29 miles from Jamal's house.
How much farther from school is Tonya's house than Jamal's house?
Answer:
2.35 miles
Step-by-step explanation:
Find the volume of a smaller wedge cut from a sphere of radius 66 by two planes that intersect along a diameter at an angle of π/6
Answer:
The answer is "[tex]\frac{\pi a^3}{9}[/tex]".
Step-by-step explanation:
please find the complete question in the attached file.
Let the sphere center be (0,0,0) and then let the intersection diameter lie all along the z-axis.
So one of the collision plans is the xz-plane the other is the path via an xz-plane angle.
[tex]\theta = \frac{\pi}{6}[/tex]
All appropriate region could then be indicated in spherical coordinates
[tex]E= {(\rho, \theta, \phi) : 0 \geq \rho \geq a, 0 \geq \theta \geq \frac{\pi}{6}, 0 \geq \phi \geq \pi }[/tex]
Calculating the volume:
[tex]\to v(E)=\int \int_{E} \int dV\\[/tex]
[tex]=\int_{0}^{\frac{\pi}{6}} \int_{0}^{\pi} \int_{0}^{a} \rho^2 \sin \phi d \rho d \phi d \theta\\\\ =\int_{0}^{\frac{\pi}{6}} d \theta \int_{0}^{\pi} \sin \phi d \int_{0}^{a} \rho^2 d \rho\\\\= [\theta]^{\frac{\pi}{6}}_{0} [-\cos \phi]^{\pi}_{0} [\frac{\rho^3}{3}]^{a}_{0}\\\\= \frac{\pi}{6} [1+1] \frac{a^3}{3}\\\\=\frac{\pi a^3}{9}[/tex]
help pleaseeeeeeeee
Answer:9
Step-by-step explanation: im not really sure I kinda just guess and check, so like, 2/3 times 3 is 6/3 which is 2. so 6/2 is 3. 3 times 3 is nine.
What is the answer to 4^4÷4^7
Answer:
0.015625
Step-by-step explanation:
Answer:
4^-3 or 0.016 or 1/64
Step-by-step explanation:
4^4 = 256
4^7 = 16,384
256 ÷ 16384 = 0.015625 = 0.016
Or when dividing exponents you subtract the exponent values
4 - 7 = -3
4^-3 = 1/64 = 0.015625
1× 1 ÷58 +26=........
Answer:
= 117/58
Step-by-step explanation:
First of all 1*1 = 1 because a number multiplied by 1 is always itself. We then have to divide 1 by 58 is 0.017 and that +26 is equal to 26.017. Lastly, we have our answer 26.017 or if you wanted it as a fraction 26 1/58!
jimmy scored 49 goals in soccer this season. Tommy scored 7 times fewer goals. how many goals didi Tommy score?
Answer:
7 goals
Step-by-step explanation:
Jimmy scored 49 goals, and Tommy scored 7 times fewer than he did. We now know that an unknown number multiplied by 7 equals 49. This can be represented in an equation:
49/7 = x
x represents the amount of goals Tommy scored. Let's solve our equation to find the answer:
49/7 = 7
7 = x
Tommy scored 7 goals.
I hope this helps :)
B.6 Based on Activity B, define phrase, clause and sentence.
Phrase:
Clause:
Sentence:
Answer:
Phrase:they are small groups standing together as a conceptual unit
Clause:it is a unit of grammatical organization next below the sentence in rank
Sentence: it is a set of words that is complete in itself
Sharon has a new beaded necklace. 72 out of the 80 beads on the necklace are blue. What
percentage of beads on Sharon's necklace are blue?
Write your answer using a percent sign (%).
Answer:
90%
Step-by-step explanation:
Step 1:
72/80 = x /100 Proportion
Step 2:
80x = 7200 Multiply
Step 3:
x = 7200 ÷ 80 Divide
Answer:
90%
Hope This Helps :)
Answer:
Sharon bought a necklace with 90% blue beads.
Step-by-step explanation:
We are given that Sharon's necklace has 80 beads. We are also given that of those 80 beads, 72 of them are blue.
Therefore, we can set up a ratio of blue beads to total beads in order to find out the relationship.
[tex]\displaystyle \frac{72}{80}=\frac{36}{40}=\frac{18}{20}=\frac{9}{10}[/tex]
Then, using the fraction we receive as a result, we can convert this to a decimal.
[tex]\displaystyle \frac{9}{10} = 0.9[/tex]
After we complete this calculation, we can multiply our decimal by 100 in order to obtain the relationship in percentage form.
[tex]0.9 \times 100 = 90\%[/tex]
Of the 80 beads, 90% were blue beads.
How do you solve
X + 17 = 50
Answer:
x=33
Step-by-step explanation:
subtract 17 from both sides, and then you are left with x=33
X-(-5) = 10
x=
help me
Answer:
X-(-5) = 10
x+5=10
x=10-5
x=5
X-(-5) = 10
-negative sign and -negative sign= +positive sign
X+5=10
move +5 to other side to get X by itself
sign changes from +5 to -5
X+5-5=10-5
X=10-5
X=5
answer: X=5
Seema deposited $800 in a saving account earning 2.88% compounded annually. To the nearest cent, how much will she have in 16 years? Do not include the dollar sign in your answer.
Answer:
1260.04
Step-by-step explanation:
The formula for compound interest is:
A = P(1+[tex]\frac{r}{n}[/tex][tex])^{nt}[/tex] where A is the final amount, P is the initial principal balance, r is the interest rate, n is the number of times interest applied per time period and t is the number of time periods elapsed. Since the deposit was compounded annually, just like the interest, we can omit the n in the equation.
Applying the formula to question:
800(1+[tex]\frac{2.88}{100}[/tex][tex])^{16}[/tex] = 1260.04 (rounded off to nearest cent since it's money)
A cell phone factory has a cost of production C(x) = 150x + 30,000 and a revenue function R(x) = 400x. What is the break-even point?
Given:
Cost function, C(x) and revenue function, R(x) are
[tex]C(x)=150x+30000[/tex]
[tex]R(x)=400x[/tex]
To find:
The break-even point.
Solution:
We know that, at break-even point the cost is equal to revenue.
Equate cost function and revenue function to get the break-even point.
[tex]C(x)=R(x)[/tex]
[tex]150x+30000=400x[/tex]
[tex]30000=400x-150x[/tex]
[tex]30000=250x[/tex]
Divide both sides by 250.
[tex]\dfrac{30000}{250}=x[/tex]
[tex]120=x[/tex]
Put x=120 in R(x).
[tex]R(120)=400(120)[/tex]
[tex]R(120)=48000[/tex]
It means, the revenue and cost are equal, i.e., 48000 at x=120.
Therefore, the break even point is x=120.
120 units of products are required to break even.
Revenue is the amount of money that can be made from selling a particular number of items while cost is the amount of money used to produce those items.
At breakeven point, revenue and cost are the same,
Let x represent the number of units produced. hence at break even:
Revenue = cost
R(x) = C(x)
400x = 150x + 30000
250x = 30000
x = 120 units
Therefore 120 units of products are required to break even.
Find out more at: https://brainly.com/question/15356272
Michael’s father bought him a 16-foot board to cut into shelves for his bedroom. michael plans to cut the board into 11 equal size lengths for his shelves.the saw blade that michael will use to cut the board will change the length of the board by -0.125 inches for each cut. how will this affect the total length of the board?
Step-by-step explanation:
you have to know how many inches make a foot or vice versa the you do simple proportion by equating the inches to the foot to get the answer. simple as abc
2. The length of a football field, including the two end zones, is
How long is the football field in feet?
Write the conversion factors that relate yards and feet.
120 yd
360 ft
120 ft
or
40 yd
3. What are the desired units?
What are the original units?
Circle the conversion factor above that has the desired units in the numerator
and the original units in the denominator.
Answer:360 ft and question 3 isn’t fully listed
Step-by-step explanation:it’s 100 yards and 10 in each end zone so 120x3=360
Cara has saved $4,000 to buy a car. Rick wants to buy a new television set. He has saved 1/10 as much as Cara. How much has Rick saved?
Answer:
Step-by-step explanation:
4000*1/10= $400
The number of birds this year in the city of L.A. has increased by 15%. Last year there were 405,000 birds. How many birds are there now? Explain your answer
Solve the system of equations by any method.
5x+9y =16
x+2y =4
Answer:
The system of equations has one solution at (-4, 4).
Step-by-step explanation:
We are given the system of equations:
[tex]\displaystyle\left \{ {{5x+9y=16} \atop {x+2y=4}} \right.[/tex]
We can use elimination to solve this system. We need to multiply the second equation by -5 so we can cancel out our x-terms.
[tex]-5\times(x+2y=4) \rightarrow -5x - 10y = -20[/tex]
Therefore, our system now becomes:
[tex]\displaystyle\left \{ {{5x+9y=16} \atop {-5x-10y=-20}} \right.[/tex]
Now, we can add these two equations together and solve for y.
[tex]\displaystyle(5x + 9y) + (-5x - 10y) = 0 - y\\\\16 + (-20) = -4\\\\-y = -4\\\\\frac{-y}{-1}=\frac{-4}{-1}\\\\y = 4[/tex]
Now, we can substitute our value for y into one of the equations and solve for x.
[tex]x+2(4)=4\\\\x + 8 = 4\\\\x = -4[/tex]
Therefore, our final solution is (-4, 4).
An online auction charges sellers a flat fee of $1.20 and 2% of the amount of the sale. Let A be the amount of the sale in dollars and C be the charge of the online auction. Explain whether the solutions A=−5 and C=1.1 are viable.
The solutions are not viable because the amount charged is not a whole number.
The solutions are viable because the amount of the sale is an integer.
The solutions are viable because the amount charged is positive.
The solutions are not viable because the amount of the sale cannot be negative
Answer:
The solutions are not viable because the amount of the sale cannot be negative
Step-by-step explanation:
We are told that;
Let A be the amount of the sale in dollars and C be the charge of the online auction
This means that both values of A and B should be non-negative integers.
Now, we are also told that An online auction charges sellers a flat fee of $1.20 and 2% of the amount of the sale.
We can conclude that the solution is not viable because the amount of sale of -1.1 cannot be negative.