Answer:
A pear is 3.4
Step-by-step explanation:
Answer: A pear cost $4.
Step-by-step explanation:
If the total price of four oranges and five pears is $32 then we could represent it by the equation 4x + 5y = 32 where x is cost of one orange and y is the cost of one pear.
The same way we could represent the second statement by the equation
3x + 2y = 17
We know have the two systems of equations:
4x + 5y = 32
3x + 2y = 17 Solve using the elimination method
Multiply the top equation by -3 and the down equation by 4 to eliminate x.
-3(4x + 5y) = -3(32) = -12x - 15y = -96
4(3x +2y) = 4(17) = 12x + 8y = 68
We now have the two new equations:
-12x -15y = -96 Add both equations
12x + 8y = 68
- 7y = -28
y= 4
Which means the cost of one pear is $4.
is the measure of how much the values in a data set vary, or deviate, from the mean; it tells us how spread out the data is from the mean.
Answer:
Standard deviation
Step-by-step explanation:
The standard deviation provides a measure of the overall variation in a data set. The standard deviation is always positive or zero. The standard deviation is small when the data are all concentrated close to the mean, exhibiting little variation or spread.
A local gym charges a $25 monthly membership fee plus $2 per hour for aerobics classes. What is the linear equation that describes the relationship between the total monthly cost (Y) and the number of class hours each month (X)
Answer:
The equation is same as the equation for a straight line Y= mx+cStep-by-step explanation:
The linear equation that describes the relationship between the total monthly cost Y and number of class hours in each month X is the same as the equation of line which is
[tex]Y= mx+c\\\\ Y= 2X+25[/tex]
where Y= the dependent variable, monthly cost
x= the independent variable, the number of hours for aerobic classes
c= the intercept, $25
If JK = 28, JL = 20, KL = 13, and ML = 22, calculate NL. Image not set to scale.
Answer:
NL = 440 /13 or 33.85 (to two decimals)
Step-by-step explanation:
Consider triangles JKL and NML
angle JLK = angle NLM vertical angles
angle KJL = angle MNL given
Therefore triangles JKL and NML are similar
By proportion of corresponding sides of similar triangles,
NL / JL = LM / LK
Substitute given values
NL / 20 = 22 / 13
solve for NL
NL = 20*22 / 13 = 440 /13 or 33.85 (to two decimals)
Answer:
[tex]\huge \boxed{33.85}[/tex]
Step-by-step explanation:
JL is similar to NL. KL is similar to ML.
We can use ratios to solve.
JL/KL = NL/ML
Let the length of NL be x.
20/13 = x/22
Cross multiply.
13 × x = 22 × 20
13x = 440
Divide both sides by 13.
(13x)/13 =440/13
x = 440/13 = 33.846154...
Geometry, please answer question ASAP
Answer:
144.5 in ^2
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 (b1+b2) h where the b1 and b2 are the lengths of the bases and h is the height
A = 1/2 ( 9.7+24.3) * 8.5
= 1/2 ( 34)*8.5
=144.5
Simplify (5x3y) (2xy4)
Answer: 10x^4y^5
Step-by-step explanation:
5x^3y^1•2x^1y^4
5•2=10
x^3•x^1=x^4
y^1•y^4=y^5
10x^4y^5
The perimeter of a rectangle is 10 feet. If twice the width is equal to half of the length , find the dimensions of this rectangle.
WRITE AS AN EQUATION
w = 1ft
l = 4ft
Step-by-step explanation:P =2w + 2l
2w = l/2 => l = 4w
10ft = 2w + 2×4w
10ft = 2w + 8w
10ft = 10w
w = 10ft/10
w = 1 ft
l = 4w
l = 4×1ft
l = 4 ft
Answer:
length = 4 ft
Width = 1 ft
Step-by-step explanation:
Let length = l ft
Width = w feet
[tex]\frac{1}{2}l = 2w\\\\l = 2w*2\\\\l = 4w[/tex]
Perimeter = 10 ft
2*(l +w)= 10
2*( 4w + w ) = 10
2*5w = 10
10w = 10
Equation: 10w = 10
Divide both sides by 10
10w/10 = 10/10
w = 1 ft
Plug in the value of w in l = 4w
l = 4 *1
l = 4 ft
Tell whether the line for x = -5 is horizontal, vertical, or neither.
Answer:
vertical
Step-by-step explanation:
The line x = -5 includes all points where the value of x is -5, regardless of the value of y. This can be graphed as a vertical line going through (-5, 0), as the line represents the only place where x is the value -5.
7 less than the quotient of a number 5 and w in a algebraic expression.
Answer:
5/w -7
Step-by-step explanation:
quotient means division
5/w
less than means it comes after
5/w -7
Answer:
5/w-7
Step-by-step explanation:
First, let's write out "the quotient of a number 5 and w"
The quotient is the result from dividing two numbers. Therefore, we must divide 5 and w.
5/w
Now, let's add on "7 less than". Since it is "less than" it will come after the division. "Less" means subtract. So, subtract 7 from 5/w.
5/w-7
7 less than the quotient of a number 5 and w as an expression is: 5/w-7
What adds to be the bottom numbers but also multiplies to be the top?
39 at the bottom and 25 on the right above 39
Answer:
well i cant answr it if i oont have more inforomartion
Step-by-step explanation:
Answer:
Step-by-step explanation:
if we add 11,36,61,... to the bottom we get bottom as a multiple of numerator.
The physician orders 1500 flu injections. There were 300 shots given in September, 450 shots given in October, and 665 shots given in November. What percentage of flu vaccine has been given?
Answer:
94.33
Step-by-step explanation:
add up all numbers then input into a percentage calculator
Percentage of flu vaccine has been given 94.33%
What is percentage?
Percentage is defined as ratio expressed as a fraction of 100.
The physician have total 1500 flu injections
300 shots given in September,
450 shots given in October,
and 665 shots given in November,
Total flu vaccine has been given = 300+450+665 = 1415
Percentage of flu vaccine has been given = (1415/1500)×100%
Percentage of flu vaccine has been given = 0.9433×100%
Percentage of flu vaccine has been given = 94.33%
Hence, percentage of flu vaccine has been given 94.33%
Learn more about percentage
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the Marked price of a book is rupees 200 if a discount of 10% is offered find the selling price of the book
Answer:
Rs 180
Step-by-step explanation:
sp=200
discount=10%
10/100*200=20
200-20
180
On the coordinate plane below, Point P, is located at (2,-3) and point Q is located at (-4,4). Find the distance between points, P and Q
Answer:
approximately 9.2195
Step-by-step explanation:
We can use Pythagorean theorem
one leg is 7 and the other leg is 6
square them
49 and 36
add
85
square root
approximately 9.2195
in digging a pipe trench that measures 29 feet long, 2 feet 9 inches wide, and 3 feet 6 inches deep.
How many cubic yards of earth were removed from the site?
Answer:
10.34
Step-by-step explanation:
converting digits to feet,
3ft 6in = 3.5 ft
2ft 9in = 2.75 ft
now feet to yards
3.5ft = 1.16666667 yards (rounded)
2.75ft = 0.9166666667 yards (rounded)
29ft = 9.66666667 yards (rounded)
multiplying them, you'll get approximately 10.34 cubic yards (rounded), that's the volume.
or you can multiply the digits in feet,
3.5×2.75×29
= 279.125 cubic ft
now to convert to cubic yards from cubic ft,
279.125/3³
= 10.337963..
= 10.34 (rounded to the nearest hundredth)
In XYZ, what is the cosine ratio of X?
Answer:
c) 12/15 = 4/5
Step-by-step explanation:
imagine we mirror the triangle up, so that Z is on top.
then you can clearly see that 6 is cos(X) times r (and r is then 7.5).
XY is sin(X)×7.5
and again, 7.5 is r (the line making the X angle).
so, the cosine ratio of X is
6 = cos(X)×7.5
cos(X) = 6/7.5 or then 12/15. or simplified 4/5.
Chen is baking muffins and banana bread for a brunch buffet. He needs 3 and one-fifth cups of flour to make the muffins and 3 and two-thirds cups of flour to make the banana bread. Which is the best estimate of the number of cups of flour that Chen needs to bake both recipes?
Options :
A. 6 cups of flour
B.7 cups of flour
C.8 cups of flour
D.9 cups of flour
Answer:
B.7 cups of flour
Step-by-step explanation:
Given the following :
Cups of flour required to make muffins = 3 1/5
Cups of flour required to make banana = 3 2/3
Number of cups of flour required to make both recipe :
(cups of flour required to make muffins + cups of flour required to make bread)
(3 1/5 + 3 2/3) = 3+3+(1/5 + 2/3)
= 6 + (1/5 + 2/3) = (3 + 10)/15 = 6 + (13/15)
6 13/15 = 6.8666666
The best estimate is to round to the nearest whole number = 7
Answer: The answer is 7
Step-by-step explanation:
I got it right in my quiz! Hope this helps (:
PLEASE HELP ME !!!!!!!!!!
if the distance of load from hinge and spring balance are 35 cm and 15 cm respectively. What is the load weight used if the applied force is 4N ?
Answer:
The load weight is 2.29 N
Step-by-step explanation:
We note that at equilibrium, the sum of the moment and the sum of forces about a point is zero, therefore, we have;
∑M =0
∑F = 0
The parameters given are;
The distance of the load from the hinge = 35 cm
The distance of the load from the spring balance = 15 cm
The applied force on the spring balance = 4 N↑
The direction of the applied force on the spring balance = Upwards
Let the weight of the load = W↓
The direction of the weight of the load = Downwards
We use downward negative and upward positive coefficients for the forces
We take moment about the hinge as follows;
Sum of moments equals zero gives;
4 × (35 - 15) - W × 35 = 0
∴ 4 × (35 - 15) = W × 35
4 × 20 = W × 35
W = 4 × 20/35 = 2.29 N
The weight of the load = 2.29 N.
Answer:
The load weight is 2.29 N
hope it helps
I need help!!! Need it asap!!!!!
Answer:
Not enough infomation, you need to provide #12
Step-by-step explanation:
whats the squareroot of 18
Answer:
it should be 4.24264068712 looked it up
Answer:
18 doesn't have a square root but you can simplify it
[tex] \sqrt{18 } [/tex]
then you take 9 which is a square number and divide it to get 3 which you'll place on the outside
[tex] 3\sqrt{2} [/tex]
Evalute n2+2N for N=5
Answer:
Hey there!
Do you mean- [tex]n^2+2n?[/tex]
If so, then your answer would be 5^2+2(5), or 35.
Let me know if this helps :)
Campbells soup company want to create a new sized cam for a new line of soups.If the can holds a volume of 3416.32 cm and the height of the can is 17cm what is the area of the base of the can
Answer:
200.96cm²Step-by-step explanation:
Volume of the can is expressed as Length *Breadth* Height.
If the area of the can base is Length * Breadth
Volume of the can = area of the base of the can * Height
Given parameters
Volume of the can V = 3416.32cm³
Height of the can h = 17cm
Required
Area of the base of the can
Substituting the given parameters into the formula we have;
V = Ah
A = V//h
A = 3416.32/17
A = 200.96cm²
Hence, the area of the base of the can is 200.96cm²
Find the distance between the points J( – 8,0) and K(1, 4).
The exact distance between the two points is
Answer:
The answer is
[tex] \sqrt{97} \: \: units[/tex]
Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
J( – 8,0) and K(1, 4)
The distance between them is
[tex] |JK| = \sqrt{ ({ - 8 - 1})^{2} + ({0 - 4})^{2} } \\ = \sqrt{ ({ - 9})^{2} + ( { - 4})^{2} } \\ = \sqrt{81 + 16} \\ [/tex]
We have the final answer as
[tex] \sqrt{97} \: \: \: units[/tex]
Hope this helps you
Type the expression that results from the following series of steps:
Start with
y
, times by 4, then subtract 9.
Answer:
4y - 9
Step-by-step explanation:
y×4= 4y
4y-9
n/8 = (-7) help please
Answer:
n = -56
Step-by-step explanation:
n/8 = (-7)
Multiply each side by 8
n/8* 8 = (-7)*8
n = -56
Answer:
[tex]n=-56[/tex]
Step-by-step explanation:
We can use algebra and simplify the equation until we have n isolated.
[tex]\frac{n}{8} = -7\\\frac{n}{8}\cdot8 = -7\cdot8\\\\n=-56[/tex]
Hope this helped!
round off 3867 in nearest 100
Answer:
3900
Step-by-step explanation:
since its to the nearest 100th we use the common rule that if the number is greater than half way then we round up otherwise if it is less then we round down. In the number 3867, 867 is greater than 850 so we round up. It becomes 3900 then.
22/100 simplist form
Answer:
11/50 is the simplified form of the given expression.
Step-by-step explanation:
22/100
We will cancel the values by the table of 2
11/50 is the simplified form of the given expression.
Hope it will help you :)
Which graph best represents the function f(x) = 2(1.5)x? graph of increasing exponential function going through point 0, 2 graph of increasing exponential function going through point 0, 3 graph of increasing exponential function going through point 0, 1 graph of increasing exponential function going through point 0, 4
Graph of increasing exponential function going through point (0, 2)
=======================================================
Explanation:
Assuming you meant to say f(x) = 2(1.5)^x, then we can see the equation is an exponential and it is increasing. It is increasing because the base b = 1.5 is larger than 1.
Plug in x = 0 to find y
y = 2(1.5)^x
y = 2(1.5)^0
y = 2(1)
y = 2
We have x = 0 and y = 2 pair up together meaning (0,2) is on the function curve. This is the y intercept.
Answer:
A. graph of increasing exponential function going through point 0, 2
Step-by-step explanation:
Factor the polynomial completely using the
X method.
x2 + 16x + 48
An x-method chart shows the product a c at the top of x and b at the bottom of x. Above the chart is the expression x squared + 16 x + 48.
The factors of the polynomial x² + 16x + 48 are ;
-4 and -12.
Given the polynomial :
x² + 16x + 48
To factorize :
x² + 16x + 48 = 0
Two numbers whose addition gives 16 and product gives 48
The two numbers are : 12 and 4
x² + 12x + 4x + 48 = 0
x(x + 12) + 4(x + 12)
Hence,
(x + 12) = 0
(x + 4) = 0
Hence,
x = -4 or x = -12
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fin the slope of the line that is perpendicular to y=1/3x
1. 3
2. -3
3. -1/3
4. 12
Answer:
-3
Step-by-step explanation:
When a line is perpendicular, the slope becomes the opposite to the original. If the slope is 1/3, the perpendicular line's slope would be -3.
Determine what type of model best fits the given stituation. Water leaking from a local reservoir at the rate of 500 gallons per hour.
Answer:
Well, in the local reservoir we have an initial amount of water A.
And per hour, the amount of water in the reservoir decreases by 500 gals.
So after t hours, the amount of water in the reservoir is:
W = A - 500gal*t
This is a linear equation, so the model that fits best in the given situation is a linear model.
Where the only thing that you need to take in mind, is that the domain of this model is restricted:
This is because we can not have a negative amount of water in the reservoir, so the maximum value of t accepted is:
W = 0 = A - 500gal*t
t = A/500 hours
So the domain of this linear relation is:
t ∈ {0h, A/500 }
Answer: lin
Step-by-step explanation:
In 2008, golfer Annika Sornestam had a driving accuracy of 71%. That is, on par 4 and par 5 holes, her tee shot landed in the fairway 71% of the time. Explain how to use a spinner to simulate Sorenstam’s performance in a round of golf where she attempts 15 drives. (Hint: What type of chart is a spinner? What does each piece represent?)
Answer:
Ok, we know that the driving accuracy is of 71%.
Then the first step is to get a spinner that is enumerated from 1 to 100 (in such way that each number is equispaced)
Now, we can mark a section between numbers 1 and 71. (this regio represents the cases where the shot lands in the fairway) and the unmarked region represents the cases where the shot does not land in the fairway.
Now, for each shot, we can spin our spinner next to a fixed pencil, depending on the section of the spinner that is marked by the pencil when the spinner fully stops, we can guess if the shot landed or not in the fairway.
In this way the shot has the region from 1 to 71 (71%) to land in the fairway
and the region from 72 to 100 to not land in the fairway.
If you want to simulate Sorenstam’s performance in a round of golf where she attempts 15 drives, you need to spin the spinner 15 times, and record the oucomes.