Answer:
The capacity of the water bottle is 2.5 times greater than the mug.
Step-by-step explanation:
We know that the capacity of a water bottle and a mug is 7/8 litre:
[tex]bottle+mug=\frac{7}{8}[/tex]
But we also now that the mug's capacity is 1/4 litre, so the equation above becomes:
[tex]bottle + \frac{1}{4}=\frac{7}{8}[/tex]
Now we want to know how much greater the capacity of the bottle than the mug is. To do this we need to know first what's the capacity of the bottle.
So, we would have:
[tex]bottle=\frac{7}{8}-\frac{1}{4} \\\\bottle=\frac{7}{8}-\frac{2}{8}\\\\\\bottle=\frac{5}{8}[/tex]
Therefore the bottle has a capacity of 5/8 liter while the mug has a 2/8 liter one.
To know how much greater is the capacity of the water bottle than the mug we need to divide these two quantities, so we have:
[tex]\frac{5}{8}[/tex]÷[tex]\frac{2}{8}[/tex][tex]=\frac{5}{8}[/tex]×[tex]\frac{8}{2}[/tex][tex]=\frac{5}{2}=2.5[/tex]
Therefore the capacity of the water bottle is 2.5 times greater than the mug.
Which graph represents this function f(x)=1/2x-5
Answer:
The first graph(Left)
Step-by-step explanation:
Because in this form 1/2 is the slope and -5 is the y intercept.
Answer:
Graph B
Step-by-step explanation:
Without even having to look at the numbers, we can see the answer is graph B because the slope in the function is positive, and B is the only positive graph! (rising when approaching positive infinity)
Hope this helped! :)
For the rectangle with given area of 10x^2+11x+3 determine the binomial factors that describes the dimensions.
PLEASE HELP!!! WILL MARK BRAINLIEST!!!
=========================================
Explanation:
We could use the AC factoring method here. Multiply the first coefficient (10) with the last term (3) to get 10*3 = 30.
We need to find factors of 30 that add to 11
1+30 = 31
2+15 = 17
3+10 = 13
5+6 = 11
we have found the pair of factors that add to 11. So we'll break the 11x into 5x+6x and then use factor by grouping method
10x^2 + 11x + 3
10x^2 + 5x + 6x + 3
(10x^2 + 5x) + (6x + 3)
5x(2x + 1) + 3(2x + 1)
(5x+3)(2x+1)
We see the two factors are 5x+3 and 2x+1.
To check the answer, use either the box method, distribution, or FOIL rule to expand out (5x+3)(2x+1) and you should get 10x^2+11x+3 again.
--------------------------------
As an alternative, you can solve 10x^2+11x+3 = 0 through any method you prefer (graphing, completing the square, quadratic formula). The quadratic formula is the best option as it works for any quadratic. The two solutions you should get are x = -3/5 and x = -1/2
Using x = -3/5 and x = -1/2, we can do the following
x = -3/5 becomes 5x = -3 after multiplying both sides by 5, then you add 3 to both sides to get 5x+3 = 0x = -1/2 becomes 2x = -1 after multiplying both sides by 2, and then turns into 2x+1 = 0 after adding 1 to both sidesNote how we have the 5x+3 and 2x+1 as found in the section above. At this point we can stop as we found the factors needed. I'm using the zero product property which says that if A*B = 0, then either A = 0 or B = 0.
Last question! Having some trouble.
Answer:
C
Step-by-step explanation:
The abscissa is the value of the x- coordinate and the ordinate is the value of the y- coordinate.
Since the point is in the second quadrant then x- coordinate will be negative and the y- coordinate positive.
C is the only point which meets this condition and
- 3 = 2(1) - 5 = 2 - 5 = - 3 ( 5 less than twice the ordinate) → C
-5x-2y=-6
Slope:
y-intercept:
Answer:
Slope = m = -5/2
Y-intercept = b = -3
Step-by-step explanation:
[tex]-5x-2y = -6[/tex]
Getting it in a slope - intercept form:
[tex]-2y = 5x+6\\Dividing \ both \ sides \ by \ -2\\y = \frac{-5x}{2} + (-3)\\y = \frac{-5x}{2} -3\\[/tex]
Comparing it wit the slope intercept equation [tex]y = mx+b[/tex] we get
Slope = m = -5/2
Y-intercept = b = -3
find the slope of this line.
Answer:
slope = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 3) ← 2 points on the line
m = [tex]\frac{3-2}{3-0}[/tex] = [tex]\frac{1}{3}[/tex]
Answer:
Slope=1/3
Step-by-step explanation:
we kown,
m=y2-y1/x2-x1
then you should take two point where line should be passing through these two pionts.
In graph you can see that (0,2) and(-3,1) are passing points of the line.
Here, x1=0
x2= -3
y1=2
y2=1
Now,
m= 1-2/ -3-0
= -1/ -3
=1/3
So, The slope of the line is 1/3.
I hope this will be helpful for you.
can ya'll help me find x and y and how to do it. Thanks
Answer:
x = 904 and y = 18
Step-by-step explanation:
Let's start by calculating x
tan 32° =[tex]\frac{x}{15}[/tex] x = 15*tan 32° x =9.37 x≈ 9.4Let's use the pythagorian theorem to find y
x²+15² =y² 9.4²+15² = y² y = [tex]\sqrt{9.4^{2}+15^{2} }[/tex] y = 17.7 y ≈ 18would someone please help me thank you very much * no fake answer *
Answer:
a = 1500
b = 0.97
Step-by-step explanation:
The equation we are modeling is ;
F(x) = ab^x
Now we have two parameters to fix.
These are the density and the annual percentage increase
We can substitute the value of 1500 for a and also make a corresponding substitution for b.
Now for b, the value to substitute is quite dicey.
3% = 3/100 = 0.03
To make any substitution, we need to subtract this value from 1 and that would be 0.97
So it is this 0.97 that we now raise x to for each of the number of years
what is 2-3+5÷16?
please give the answer by solving it
Answer:
HOPE IT HELPS. PLEASE MARK IT AS BRAINLIEST
Answer:
Step-by-step explanation:
2-3+5/16 = -1+5/16 = 4/16 = 1/4 = 0.25
hope it helps
What is the determinant of the coefficient matrix of the system –7 –2 –1 0
Answer:
0
Step-by-step explanation:
Please check attachment for complete solution
Answer:
D. 0
Step-by-step explanation:
last option
the dimensions of a block of stamps are 30 cm wide by 20 cm high. the same number of stamps could also have been arranged in a block 24 cm wide. How high would this second block be?
Answer:The hight of such a stamp block would have to be 26 cm high by 24 cm wide
Step-by-step explanation: The way that i got my answer was by using this equation A+B=C
1.) 30cm+20cm=50cm
2.) 24cm+x=50cm
3.)50cm-24cm=x
4.)26cm=x
Question in screenshot answer must be in cm
Answer:
30.5 cm
Step-by-step explanation:
0 < h ≤ 10 ⇔ Midpoint = 5
10 < h ≤ 20 ⇔ Midpoint = 15
20 < h ≤ 30 ⇔ Midpoint = 25
30 < h ≤ 40 ⇔ Midpoint = 35
40 < h ≤ 50 ⇔ Midpoint = 45
50 < h ≤ 60 ⇔ Midpoint = 55
⇒ Multiply each corresponding midpoint with it's frequency
(5 × 1) + (15 × 4) + (25 × 7) + (35 × 2) + (45 × 3) + (55 × 3) = 610
⇒ Divide the total of 610 by the frequencies added together
610 ÷ (1 + 4 + 7 + 2 + 3 + 3) = 610 ÷ 20 = 30.5
A county real estate appraiser wants to develop a statistical model to predict the appraised value of houses in a section of the county called East Meadow. One of the many variables thought to be an important predictor of appraised value is the number of rooms in the house. Consequently, the appraiser decided to fit the simple linear regression model, y=Po+B1x, where y appraised value of the house (in $thousands) and x number of rooms. Using data collected for a sample of n 74 houses in East Meadow, the accompanying results were obtained. Give a practical interpretation of the estimate of the slope of the least squares line. i Click the icon to view the results.
A. For each additional dollar of appraised value, the number of rooms in the house is estimated to increase by 22.71 rooms.
B. For a house with 0 rooms, the appraised value is estimated to be $74,800.
C. For each additional room in the house, the appraised value is estimated to increase $22,710
D. For each additional room in the house, the appraised value is estimated to increase $74,800.
Answer:
D. For each additional room in the house, the appraised value is estimated to increase $74,800
Step-by-step explanation:
The statistical model is used to predict the appraised value of houses in East Meadows. The value of a house is determined by using variables. The regression model helps to analyse the value of a house. It is predictive modelling technique which determines a relationship between dependent and independent variable.
Select the correct answer.
What is the value of this expression when g= -3.5?
8-[2g-5]
OA.
20
OB.
10
OC. 6
OD.
-4
Answer:
A. 20
Step-by-step explanation:
We are given the expression:
8-(2g-5)
and asked to find the value of the expression when g=-3.5. Therefore, we must plug -3.5 in for g.
8- (2(-3.5)-5)
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
First, solve inside the parentheses. Begin by multiplying 2 and -3.5
8-(-7-5)
Next, subtract 5 from -7
8-(-12)
Finally, subtract -12 from 8.
8+12
20
The value of the expression 8-(2g-5) when g=-3.5 is 20. Therefore A. 20 is correct.
Help please! Thanks!!
Answer: None of them
I think your teacher made a typo. See explanation below for details
=================================================
Explanation:
With math problems like this one, it is often very tricky to find integer solutions. Luckily, we're given a list of choices. Let's plug them in one at a time and see what happens.
If y = 5, then
y^2 - 7x^2 = 11
5^2 - 7x^2 = 11
25 - 7x^2 = 11
-7x^2 = 11-25
-7x^2 = -14
x^2 = -14/(-7)
x^2 = 2
But x^2 = 2 does not have any integer solutions. The two solutions are irrational. So we can rule out choice F.
Repeat for y = 4 and you should find that x^2 = 5/7, which also does not have any integer solutions. Choice G can be ruled out.
Choices H through K are even worse. Not only are there no integer solutions, but there aren't any real number solutions either (there are complex or imaginary solutions though). Plugging in y = 3 leads to x^2 = -2/7 which has imaginary solutions due to applying the square root to a negative radicand. Similar situations happen with J and K as well.
In summary, none of these answer choices are valid. We need to have two integers x and y that satisfy the equation. I think your teacher made a typo somewhere.
in a certain game, points you win are positive numbers and points you lose are negative numbers. What is the value of the series plays: win 8, lose 7, will 11, lose 2?
a -15
B -4
C 4
d 12
Answer:
4
Step-by-step explanation
+8 + (-7) + (+11) + (-2)= 4
The value of the series plays is 10.
--------------------------
In this question, we have to find the total amount of points, considering the number of points on each series.
Win 8: Add 8 points.Lose 7: Subtract 7 points.Win 11: Add 11 points.Lose 2: Subtract 2 points.--------------------------
The total is:
[tex]T = 8 - 7 + 11 - 2 = 1 + 9 = 10[/tex]
10 points.
A similar question is given at https://brainly.com/question/14350453
Simplify the following:
1.√7 × √7
2.√18 × √2
3.√45
4.√50/5
5.2√2 × 4√5
6.√48 - √12
7.(2-√3) (1+√3))
Answer:
1. 7
2. 6
[tex]3. 3\sqrt{5}[/tex]
4?
5. [tex]8\sqrt{10}[/tex]
6.[tex]5\sqrt{3}[/tex]
7. [tex]-1+\sqrt{3}[/tex]
Step-by-step explanation:
1. [tex]\sqrt{7} *\sqrt{7} =\sqrt{49}=7[/tex]
2. [tex]\sqrt{18}*\sqrt{2} =\sqrt{36}=6[/tex]
3.[tex]\sqrt{45}=\sqrt{9^{2}*5 }=3\sqrt{5}[/tex]
4. here there are two cases
[tex]\sqrt{\frac{50}{5} }=\sqrt{10}[/tex]
[tex]\frac{\sqrt{50} }{5} =\frac{5\sqrt{2} }{5} =\sqrt{2}[/tex]
5. [tex]2\sqrt{2} *4\sqrt{5} =8\sqrt{10}[/tex]
6. [tex]\sqrt{48}- \sqrt{12} =4\sqrt{3} -2\sqrt{3} =2\sqrt{3}[/tex]
7. [tex](2-\sqrt{3} )(1+\sqrt{3} )=2+2\sqrt{3}-\sqrt{3} -3=-1+\sqrt{3}[/tex]
heLp would be appreciated for the image below :))
Answer:
A
Step-by-step explanation:
The line from the vertex to the base is a perpendicular bisector and divides the isosceles triangle into 2 right triangles.
Using Pythagoras' identity in either of the 2 right triangles, then
([tex]\frac{1}{2}[/tex] x )² + 3² = ([tex]\sqrt{45}[/tex] )²
[tex]\frac{1}{4}[/tex] x² + 9 = 45 ( subtract 9 from both sides )
[tex]\frac{1}{4}[/tex] x² = 36 ( multiply both sides by 4 to clear the fraction )
x² = 144 ( take the square root of both sides )
x = [tex]\sqrt{144}[/tex] = 12 → A
A man has 3 different suits, 4 different shirts and 5 different pairs of shoes. In how many different ways can this man wear a suit a shirt and a pair of shoes?
Answer:
60
Step-by-step explanation:
We want to find the number of ways to wear a suit, shirt, and pair of shoes.
Therefore, we can use the fundamental counting principal, which is: If there is x ways to do one thing, y ways to do another and z ways for another, then there are x * y * z ways to do all things.
Therefore, we must multiply the suits, shirts and shoes.
suits * shirts * shoes
The man has 3 different suits, 4 different shirts and 5 different pairs of shoes.
3 * 4 * 5
12 * 5
60
There are 60 different ways to wear a suit, shirt and pair of shoes.
Tucker was asked to solve the equation 5x + 3 = 6x + 1. He did not know if his first step should be to add 5 negative x-tiles, or 1 negative unit tile, to both sides. What advice would you give Tucker to help him decide on his first step?
Answer:
He should use the negative 1 unit tile.
Step-by-step explanation:
He should do this because in this equation you wish to isolate the variable on one side, and it would be better to first take away any constants. Afterwards, the variable would be next.
Answer: It does not matter which he does first. Either way, zero pairs will be created on both sides, which will isolate the variable to determine x. Adding the x-tiles and then the unit tile, or visa versa, will give the same solution.\
Explanation: that's what i put and i got it right
PLZZZZZ MARK ME BRAINIEST
A new E music service offers downloadable songs by subscription $15 per month plus one for each downloaded song how much will it cost to download X songs in a month
Answer:
$15+x
x in dollars
Step-by-step explanation:
Subscription per month=$15
Cost of each downloaded song per month=$15 + 1
If x number of songs are downloaded in a month
The cost of downloading x songs= $15 + x
Where,
$15 = fixed cost ( subscription)
x= variable cost( each unit of songs downloaded)
If 20 songs are downloaded in a month.
The cost of downloading the 20 songs
=$15+$20
=$35
What is the simplified form of this expression?
(-3x2 + 2x − 4) + (4x2 + 5x + 9)
Answer:
[tex]\large \boxed{\sf \ \ x^2 + 7x + 5 \ \ }[/tex]
Step-by-step explanation:
[tex]\mathrm{\sf (-3x^2 + 2x -4) + (4x^2 + 5x + 9)}[/tex]
Remove brackets.
[tex]\large{\sf -3x^2 + 2x -4 + 4x^2 + 5x + 9}[/tex]
Group like terms.
[tex]\large{\sf -3x^2 + 4x^2 + 2x + 5x + 9 -4}[/tex]
Combine like terms.
[tex]\large{\sf x^2 + 7x + 5}[/tex]
The simplified form of this expression (-3x² + 2x − 4) + (4x² + 5x + 9) is determined as x² + 7x + 5.
What is the simplified form of this expression?To simplify the given expression, we need to combine like terms.
The given expression;
(-3x² + 2x − 4) + (4x² + 5x + 9)
Let's start by combining the terms with the same degree of x:
Combine the x² terms:
(-3x² + 4x²) + 2x - 4 + 5x + 9
Simplify further;
x² + 7x + 5
Thus, the simplified form of this expression (-3x² + 2x − 4) + (4x² + 5x + 9) is determined as x² + 7x + 5.
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PLS HELP ASAP Event A and event B are independent events. Given that P(B)=13 and P(A∩B)=16, what is P(A)?
Answer:
The probability of event A happening which is P(A) = 1/2
Step-by-step explanation:
To answer this question, we will have to make use of the mathematical formula for independent events.
Firstly, what do we mean by independent events?
Independent events are events that occur freely of each other. What this means is that the occurrence or non-occurrence of one of the events does not disturb the occurrence or non-occurrence of the other event.
Given that A and B are independent events, then mathematically;
P(A ∩ B) = P(A) P(B)
Now from the question, we know that We are to find P(A), inputing the values we have;
1/6 = P(A) * 1/3
P(A) = 1/6/1/3
P(A) = 1/2
Use the elimination method to solve the system of equations. Choose the
correct ordered pair.
6x+2y = 8
12x + y = 22
O A. (-1,1)
O B. (4,-4)
O C. (2,-2)
O D. (-3,3)
Answer:
A. (-1,1)
Step-by-step explanation:
6x+2y = 8
-2y =-2
6x=6
6x=6
X=1
What is the value of log0.5^16
Answer:
-4.81647993062
Step-by-step explanation:
Look at the image below ↓
Based on the mathematical analysis, the value of log 0.5^16 is -4.816.
What are Logarithms?A logarithm is a mathematical term that is used to describe the exponent or power to which a base must be raised to yield a given number.
In this case, to calculate the value of log0.5^16 use logarithm properties.
rewrite the expression as log(0.5)^(16).
=> log(a^b) = b * log(a)
=> 16 * log(0.5).
Given that the Logarithm is the inverse of exponentiation => log(0.5) is equal to -0.301.
Substitute this value back into the expression:
16 * (-0.301) = -4.816.
Hence, in this case, it is concluded that the correct answer to the value of log 0.5^16 is -4.816.
Learn more about Logarithms here: https://brainly.com/question/30226560
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Which transformation does not preserve orientation? A. rotation B. reflection across the y-axis C. dilation D. translation
Find the coordinates for the equation.
{y=-x^2+5
{-x+y=3
Answer:
I hope you will get help from these...
Most evenings after dinner Duarte spends 30 minutes playing chess with his dad. Write an equation for the number of minutes, m, that Duarte spent playing chess with his dad if they played chess together (e) evenings.
Answer:
m=30e
Step-by-step explanation:
30 minutes for each evening, 2 evenings, 60 minutes
Hope this helped!
The most suitable equation that would express the time Duarte spends to play chess with his dad is m= 30e
How to use equation for expressionsNumber of minutes each evening= 30 mins=m
They played together every evening= e.
Therefore, the equation that would express the time Duarte spends to play chess with his dad is m = 30e.
Learn more about equation here:
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Simplify the expression (3-4i)(1+5i)-(2-i). Please show your work
Answer:
21 + 12i
Step-by-step explanation:
Given
(3 - 4i)(1 + 5i) - (2 - i) ← expand the product of factors using FOIL
= 3 + 11i - 20i² - 2 + i ( note i² = - 1 )
= 3 + 11i + 20 - 2 + i ← collect like terms
= 21 + 12i
Answer:
The answer is
21 + 12iStep-by-step explanation:
(3-4i)(1+5i)-(2-i)
Expand the terms in the bracket first
That's
3 + 15i - 4i - 20i² - ( 2 - i)
Remove the bracket
3 + 15i - 4i - 20i² - 2 + i
But i² = - 1Group like terms
- 20(-1) + 15i - 4i + i + 3 - 2
15i - 4i + i + 20 + 3 - 2
Simplify
We have the final answer as
21 + 12iHope this helps you
Danny drove to Yosemite Park from his home at 60 mph. on his trip home, his rate was 10 mph less and ...?
Answer: 300 mi.
Step-by-step explanation:
Let t be the time taken to drive to the park (at 60 mph)
Let t + 1 be the time taken to drive home from the part (at 50 mph)
Distance to the park = 60t
Distance from the park = 50(t + 1)
Obviously the distances should be the same so equate them.
60t = 50(t + 1)
60t = 50t + 50
10t = 50
t = 50/10
t = 5 hours
Now figure the distance. You can use either equation for the distance to or from the park:
60t = 60(5) = 300 miles
or
50(t+1) = 50(6) = 300 miles
The distance to or from the park will be 300 miles.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Let assume t be the time taken to drive to the park (at 60 mph).
Let assume t + 1 be the time taken to drive home from the part (at 50 mph)
The Distance to the park = 60t
The Distance from the park = 50(t + 1)
Obviously the distances should be the same, so equate them;
60t = 50(t + 1)
60t = 50t + 50
10t = 50
t = 50/10
t = 5 hours
Now figure the distance. We can use either equation for the distance to or from the park:
60t = 60(5) = 300 miles
50(t+1) = 50(6) = 300 miles
Therefore, the distance to or from the park will be 300 miles.
Learn more about equations here;
https://brainly.com/question/10413253
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Question 1
52 + 2 × (9) + 6 =
Answer:
76Step-by-step explanation:
Use BODMAS rule:
B = Bracket
O = Of
D = Division
M = Multiplication
A = Addition
S = Subtraction
Now, let's Solve,
[tex]52 + 2 \times (9) + 6[/tex]
First, we have to multiply the numbers:
[tex] = 52 + 18 + 6[/tex]
Add the numbers:
[tex] = 76[/tex]
Hope this helps...
Good luck on your assignment...