Answer:
22 hours
Step-by-step explanation:
Old machine produces 36 widgets in 9 hours. The number of widgets produced in an hour can be determined as;
In 1 hour = [tex]\frac{36}{9}[/tex]
= 4 widgets
New machine can produce 40 widgets in 8 hours. The umber of widgets produced in an hour can be determined as;
In 1 hour = [tex]\frac{40}{5}[/tex]
= 5 widgets
Thus, let the time required by old machine be represented by s, and that of new machine by y. Working together we have;
4x + 5y = 100
(4 * 10) + (5 * 12) = 100
Thus the old machine would work for 10 hours, while the new machine would work for 12 hours to produce 100 widgets.
Working together, it would take both machines 22 hours.
QUICK I NEED HELP! I WILL MARK BRAINLIEST!
Answer:
Mean=7.7
Median=7
Mode=10 and 6
Range=7
Answer:
Mean = 7.7
Median = 7
Mode = 6 and 10
Step-by-step explanation:
Arrange the data in ascending order :
4 , 6 , 6 , 7 , 10 , 10 , 11
Mean is the sum of the data by number of data.
[tex]Mean = \frac{ 4 + 6 + 6 + 7 + 10 + 10+ 11}{7} = \frac{54}{7} = 7 . 7[/tex]
Median is the middle number.
[tex]Median = \ 7[/tex]
Mode most frequent value in the data
[tex]Mode = \ 6 \ and \ 10[/tex]
Which best describes the relationship between the line that passes through the points (2, 3) and (5, 8) and the line
that passes through the points (-7,5) and (-12, 8)?
a. neither perpendicular nor parallel
b. perpendicular
c. parallel
d. same line
which numbers are the extremes of the proportion shown below [tex]\frac{4}{7} =\frac{20}{35}[/tex]
9514 1404 393
Answer:
4 and 35
Step-by-step explanation:
Written as 4/7 = 20/35, the extremes are the outside numbers: 4 and 35.
Find the equation for the
following parabola.
Focus (0,5)
Directrix y = -5
A. y2 = 20%
B. X2 = 5y
C. X2 = 20
D. y2 = 5x
Answer:
C
Step-by-step explanation:
For any point (x, y) on the parabola the focus and directrix are equidistant
Using the distance formula
[tex]\sqrt{x^2+(y-5)^2}[/tex] = | y + 5 | ← square both sides
x² + (y - 5)² = (y + 5)² ← expand parenthesis on both sides
x² + y² - 10y + 25 = y² + 10y + 25 ( subtract y² - 10y + 25 from both sides )
x² = 20y
Find the area of the sector in
terms of pi.
12
210°
Area
=
[?]
T
Answer:
84pi
Step-by-step explanation:
Sector Area = (pi x r^2 x *angle*)/ 360
(pi x 12^2 x 210)/ 360
= 84pi
= 263.893
what is advertising used for? check all that apply
Name the angle relationship between a and b
Answer:
∠a=∠b
Step-by-step explanation:
Alternate exterior angles are congruent
Hihi , please help if able.
Step-by-step explanation:
the lines on the graph of inequality second option
John can jog twice as fast as he can walk. He was able to jog the first 5 miles to his grandmothers house, but the he tired and walked the remaining 2 miles.If the total trip took 0.9 hours, then what was his average jogging speed?
A deck of cards is made up of 4 suits: clubs, diamonds, hearts, and spades.
Each suit has 13 cards with
this range: 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, and A.
If you are trying to calculate the probability of getting an even number when
picking one card from a normal deck, what is the size
of the sample space?
O A. 52
B. 5
C. 13
D. 26
Answer:
i think the answer is c cuz theres 36 number cards
PLZZZ HELP NO LINKS What graph represents the piecewise-defined function?
Answer:
option alphabet c is the answer
Put these numbers in order from greatest to least.
0.32,1/2,0.66, and 0.45
URGENT
Suppose that a coin has been altered to come up heads 70% of the time. If
many samples of 60 coin flips are taken, which of the following is the number
of heads that would likely come up most frequently in a sample?
A. 54
B. 42
C. 36
D. 48
Debbie has 12 blooms on her lemon tree on the first day she thinks to check it. Each day after that, she notices 3 additional blooms. How many blooms does she have after one week?
Answer:
33 blooms
Step-by-step explanation:
This can be set up by an equation. x represents the number of days and y represents the number of corresponding blooms. y = 3x + 12 is the equation, as 3 is the rate of change and 12 is the initial amount. One week is 7 days, so 7 can be plugged in for x. 21 + 12 = 33, so after one week, Debbie has 33 blooms.
Math doesn't suit me; I have to cooperate with it.
Answer:
200 vs 230
$30
Step-by-step explanation:
5 1 point In the standard form of a circle (x – h)^2 + (y - k)^2 = r^2, which of the following represents the center of the circle?
A:(h,k)
B:r
C:(x,y)
D:r^2
Option C with h and k
see screenshot for an example
general formula is
r² = (x - x-center)² + (y - y-center)²
make greatest and smallest possible 7- digit number from 4,7,1,9,0,6,7
Answer:
greatest 9776410 smallest 1046779
Step-by-step explanation:
in smallest we cannot write 0 first because 0 has no units
Answers:
Largest possible = 9776410
Smallest possible = 1046779
====================================================
Explanation:
To make the greatest 7-digit number, we start with the largest digit at the left-most end. So we start with 9. Then the next digit is the next largest, which is 7, and so on until we get
9776410
If we swap any two distinct digits, then we'll get something smaller than that value above. For instance, swap the 1 and 0 which leads to 9776401 and this is smaller than 9776410. This is simply because 01 is smaller than 10. Every other digit is kept the same. Try out other digit swaps to see that the result is smaller than the value in bold.
------------------------
To make the smallest 7-digit number, we just take the idea mentioned in the first section and we reverse it. We start with the smallest digit. We can't have 0 as the first value or else it won't be a 7-digit number. So we go for 1 instead. Then we can pick 0 next. For the third digit we pick the third smallest (the digit 4), and we build up to get
1046779
If we swap any distinct two digits, then we'll get something larger than this value. Let's say we swap the second 7 and the 9 at the end. We go from 79 at the end to 97. Since 79 < 97, this means 1046779 < 1046797. That's one example of many.
--------------------------
So in short, the largest number possible has all the largest digits to the left (and we decrease going left to right). The smallest number possible is the reverse of this having the smallest digits to the left (then increasing from left to right). The 0 cannot be at the left-most digit position, or else won't have a seven digit number.
These prisms are similar. Find the volume
of the larger prism in decimal form.
5 m
7 m
Volume = 50 m3
Volume = [ ? ] m3
PLEASE HELP IM OVERDUE
Answer:
98 m³
Step-by-step explanation:
For similar shapes
The ratio of the cube of the corresponding length of similar shapes is equal to the ratio of their volume.
Applying,
L³/L'³ = V/V'............... Equation 1
Where, L = Length of the smaller prism, L' = Length of the larger prism, V = Volume of the smaller prism, V' = Volume of the larger prism
From the question,
Given: L = 5 m, L' = 7 m, V = 50 m³
Substitute these values into equation 1
5²/7² = 50/V'
25/49 = 50/V'
V' = (50×49)/25
V' = 98 m³
Answer: 137.2
Step-by-step explanation:
I'm just making the correct answer an actual answer instead of a comment so it's easier to see
Stella is saving up to buy a new video game. She already has $15 and can save an additional $8 per week using money from her after school job. How much total money would Stella have after 8 weeks of saving? Also, write an expression that represents the amount of money Stella would have saved in w weeks .
Answer:
Part A;
$79
Part B;
The amount Stella would have saved in 'w' weeks = 15 + 8·w
Step-by-step explanation:
Part A
The amount of money Stella already has = $15
The amount she can save per week = $8
The total amount of money, 'A', Stella would have after 8 weeks is given as follows;
A = The amount Stella already has + The amount she can save per week × The number of weeks of savings
Therefore;
A = 15 + 8 × 8 = 79
The amount Stella would have after 8 weeks, A = $79
Part B
The expression that represents the amount of money Stella would have saved in w weeks is given as follows;
A = The initial amount Stella has + The amount she can save per week × w (number of weeks)
∴ A = 15 + 8·w.
What is the value of the 9 in the number 0.09432
Answer:
hundredths
Step-by-step explanation:
Numbers after the decimal start with
tenth
hundredth
What is the output of y=23x−4 when the input is 18?
Enter your answer as a number, like this: 42
Answer:
410
Step-by-step explanation:
Inputs are x's
Substitute the 18 where you see the x
y = 23(18) - 4
y= 414 - 4
y = 410
Suppose you are the owner of a sari sari store and you have 8 pieces of different canned goods [ligo,555,mega young`s town,master,saba,blue bay,and century] and you are only allowed to display 7 canned goods on the shelf list down all the possible combinations?
Help me with this plss
Thank you♥
This question using the combinations concept, as the order in which the canned goods are displayed is not important. Thus, using the combinations formula, we get 8 ways, which are:
555,mega, young`s town,master,saba,blue bay,and centuryligo,555,mega, young`s town,master,saba,blue bayligo, mega, young`s town,master,saba,blue bay,and centuryligo, 555, young's town, master,saba,blue bay,and centuryligo,555,mega, master, saba, blue bay,and centuryligo,555,mega, young`s town,saba,blue bay,and centuryligo,555,mega, young`s town,master,blue bay,and centuryligo,555,mega, young`s town,master,saba, and century.Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
7 from a set of 8, so:
[tex]C_{8,7} = \frac{8!}{7!1!} = 8[/tex]
8 possible ways, in which each way we remove one of them, in the list given above.
A similar problem is found at https://brainly.com/question/23302762
What are the two possible measures of the angle below?
Answer:
90 or -270
Step-by-step explanation:
6x - 5y= 70
7x + 2y=66
I need a answer in words step by step please help!!
Answer:
x = 10
y = -2
Step-by-step explanation:
Elimination method:
6x - 5y = 70 -----------------(I)
7x + 2y = 66 -----------------(II)
Multiply equation (I) by 2 and equation (II) by 5 and add. So, y will be eliminated and you can now find the value of x
(I)*2 12x - 10y = 140
(II)*5 35x + 10y = 330 {Now add}
47x = 470
x = 470/47
x = 10
Plugin x = 10 in equation (II)
7*10 + 2y = 66
70 + 2y = 66
Subtract 70 from both sides
2y = 66 - 70
2y = -4
Divide both sides by 2
y = -4/2
y = - 2
if 24= 2f+3f+f, find f
Answer:
6f = 24
f = 4
Step-by-step explanation:
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\textsf{24= 2f + 3f + f}\\\text{COMBINE the LIKE TERMS}\\\\\textsf{2f + 3f + f}\\\textsf{2f + 3f = \bf 5f}\\\textsf{5f + f}\\\textsf{= \bf 6f}\\\text{New equation: \textsf{6f = 24}}\\\text{DIVIDE 6 to BOTH SIDES}\\\mathsf{\dfrac{6f}{6}=\dfrac{24}{6}}\\\textsf{CANCEL out: }\mathsf{\dfrac{6}{6}}\textsf{ because that gives you 1}\\\textsf{KEEP: }\mathsf{\dfrac{24}{6}}\textsf{ because that helps solve for the f-value}\\\\\mathsf{\dfrac{24}{6}=\bf f}\\\\\\\mathsf{\dfrac{24}{6}=24\div6=\bf 4}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf f = 4}}}\huge\checkmark[/tex]
~[tex]\large\textsf{Good luck on your assignment and your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
It's urgent i need help someone help me!
Answer:
x=50, y=20
Step-by-step explanation:
50-20=30, 50+20=70
The two triangles are similar.
What is the value of x?
Enter your answer in the box HELP PLS
The Above triangles are similar, Therefore the corresponding sides would be proportional.
that is : -
[tex] \dfrac{16}{12} = \dfrac{6x}{5x - 2} [/tex][tex]16 \times (5x - 2) = 12 \times 6x[/tex][tex]80x - 32 = 72x[/tex][tex]80x - 72x = 32[/tex][tex]8x = 32[/tex][tex]x = 32 \div 8[/tex][tex]x = 4[/tex][tex]\mathfrak{best \: \: of \: \: luck \: \: for \: \: your \: \: assignment}[/tex]
Find the value of x
Answer:
x=1
Step-by-step explanation:
7x-1+2x-1=7
7x+2x-1-1=7
9x-2=7
9x=7+2
9x=9
9x/9=9/9
x=1
The composition D
0.
(x, y) is applied
0
3(x,°D
to ARST to create the image of AR'S'T", which is not
shown.
Answer:
S'' = ([tex]-\frac{3}{2} , \frac{9}{2}[/tex] )
Step-by-step explanation:
coordinate of x is (-2 , 6)
scale factor to transform the triangle is 3/2
so to find S' use this scale factor
formula :
(x , y) = (kx , ky) (k means scale factor)
S(-2 , 6) = S'(3/2 *-2 , 3/2 * 6)
S'(-3 , 9)
now to find S'' again use the same formula
(x , y ) = (kx , ky)
this time take S' and to find S'' use 1/2 as scale factor
S'(-3 , 9) = S''(1/2 *-3 , 1/2 * 9)
S''(-3/2 , 9/2)
The transformation is S'' = (-3/2, 9/2). The correct option is A.
Scale factor refers to the ratio of corresponding lengths or measurements between two similar objects or figures. It represents how much one object has been scaled or enlarged/reduced compared to another object.
The scale factor is determined by dividing the length or measurement of a corresponding side or dimension of one object by the length or measurement of the corresponding side or dimension of the other object. It provides a quantitative relationship between the two objects.
The coordinate of x is (-2, 6). The scale factor to transform the triangle is 3/2 so to find S' use this scale factor.
formula :
(x , y) = (kx, ky) (k means scale factor)
S(-2 , 6) = S'(3/2 x -2 , 3/2 x 6)
S'(-3 , 9)
Now to find S'' again use the same formula:
(x , y ) = (kx, ky)
this time take S' and to find S'' use 1/2 as the scale factor.
S'(-3 , 9) = S''(1/2 x -3 , 1/2 x 9)
S''(-3/2 , 9/2)
To know more about scale factors follow
https://brainly.com/question/26541943
#SPJ2
Model 3: Another plan to secure the roller coaster involves placing two concrete struts on either side of the center of the leg of the roller coaster to add reinforcement against southerly winds in the region. Again, using the center of the half-circle as the origin, the struts are modeled by the equations and . A vertical reinforcement beam will extend from one strut to the other when the two cables are 2 feet apart. 8. Algebraically determine the x -value of where the beam should be placed. (15 points) 9. Explain where to place the beam. (10 points)
Answer:
The beam should be placed 8 feet from the center.
Step-by-step explanation:
According to the Question,
Given That, Another plan to secure the roller coaster involves placing two concrete struts on either side of the center of the leg of the roller coaster to add reinforcement against southerly winds in the region.Again, using the center of the half-circle as the origin, the struts are modeled by the equations y=x+8 and y=x-4. A vertical reinforcement beam will extend from one strut to the other when the two cables are 2 feet apart. Recall that a reinforcement beam will extend from one strut to the other when the two struts are 2 feet apart.
The struts are y = √(x + 8) and y = √(x − 4). The struts are 2 feet apart at the location of the beam:
thus, √(x + 8) − √(x − 4) = 2
on Solving we get,
√(x + 8) = 2 + √(x − 4)
x + 8 = 4 + 4√(x − 4) + x − 4
8 = 4√(x − 4)
2 = √(x − 4)
x − 4 = 4
x = 8
