Given :
Miki has 104 nickels and 88 dimes.
She wants to divide her coins into groups where each group has the same number of nickels and the same number of dimes.
To Find :
Largest number of groups she can have .
Solution :
In the given question we need to find the largest number of groups she can have i.e we have to find the LCM of 104 and 88 .
Now , factorizing both of them , we get :
[tex]104=1\times 2\times 2\times 2\times 13[/tex]
[tex]88=1\times 2\times 2\times 2\times 11[/tex]
Form above , we can say that common factors are :
[tex]HCF=2\times 2\times 2=8[/tex]
Therefore , the largest number of groups she can have is 8 .
Hence , this is the required solution .
Answer:
c
Step-by-step explanation:
just make it simple ._.
what is the value of (10 - 6) over 2 + 6 times 2 - ( 3 + 2) over 2
Answer:
-.25 or - 1/4
Step-by-step explanation:
I have number 10 done but can someone help me out with 11?
Answer:
x=5
Step-by-step explanation:
opposite angles are the same, so the small ones are 15. 180-30=150
150/2=75 75/15=5
what is the range in a set of data
Answer:
the smaller number minused by the bigger number.
Step-by-step explanation:
Hopefully this helps you :)
pls mark my answer brainlest ;)
if you multiply me by 5 and subtract 6 from me you get 14. what number am I.
Answer:
tje answer is 4
Step-by-step explanation:
4x5=20
20-6=14
6k - 12 = -24
Solve this
Answer:
-2
Step-by-step explanation:
6k=-24+12
or,6k=-12
or,k=-12/6
or,k=-2
Answer:
The value of k is -2.
Step-by-step explanation:
First, you have to add 12 to both side :
[tex]6k - 12 = - 24[/tex]
[tex]6k - 12 + 12 = - 24 + 12[/tex]
[tex]6k = - 12[/tex]
Next, you have to divide by 6 :
[tex] \frac{6k}{6} = \frac{ - 12}{6} [/tex]
[tex]k = - 2[/tex]
Karim wants to buy a shirt that normally sells for $46.50. It is on sale for One-third off. How much does Karim need to pay to buy the shirt on sale?
Answer:
Step-by-step explanation:
First I took the original price of the shirt (46.50) since it is going one third off I divided it by 3 (46.50/3=15.50)
I took away the one third I divided from it (46.50-15.50=31)
I got 31 dollars as my final answer.
Now Karim needs to buy the shirt for $31.
Answer:
$31
Step-by-step explanation:
Price of the shirt normally: $46.50
Deduction in the price when it's 1/3 off: 1/3 * $46.50 = $15.50
amount that Karim needs to pay to buy the shirt:
Price of the shirt normally - Deduction in price when it's 1/3 off =
$46.50 - $15.50 = $31.00
2. An article in the Journal of the American Medical Association reports the results of a
study designed to see if the herb St. John's wort is effective in treating moderately
severe cases of depression. The study involved 338 patients who were being treated
for major depression. The subjects were randomly assigned to receive one of three
treatments: St. John's wort, Zoloft (a prescription drug), or placebo (an inactive
treatment) for an 8-week period. The two way table summarizes the data from the
experiment
Treatment
a. What proportion of subjects in the study were
St. John's
randomly assigned to take St. John's wort?
wort Zoloft Placebo
Explain why this value makes sense.
Full
27 27
The proportion of subjects in the study that were randomly assigned
response
to take St. John's wort is about 1/3 (113/338).
Change in Partial
16 26 13
depression response
No
70 56 66
b. Find the distribution of change in depression
response
for the subjects in this study using relative
frequencies.
37
1
C. What percent of subjects took Zoloft and showed a full response?
Answer:
a. 113/338
b. The relative frequency distribution is presented as follows;
[tex]{}[/tex] St. John's wort Zoloft Placebo
Full response [tex]{}[/tex] 27/91 27/91 37/91
Partial response [tex]{}[/tex] 16/55 26/55 13/55
No response [tex]{}[/tex] 35/96 7/24 11/32
c. 29.67%
Step-by-step explanation:
a. The proportion of subjects assigned to take St. John wort is found as follows;
The total number of subjects = 27 + 27 + 37 + 16 + 26 + 13 + 70 + 56 + 66 = 338 subjects
The number of subjects assigned to take St. John wort = 27 + 16 + 70 = 113
The proportion of subjects assigned to take St. John wort = 113/338
b. The distribution of change in depression response using relative frequency is found as follows;
Total full response = 27 + 27 + 37 = 91
Total partial response = 16 + 26 + 13 = 55
No response = 70 + 56 + 66 = 192
[tex]{}[/tex] St. John's wort Zoloft Placebo
Full response [tex]{}[/tex] 27/91 27/91 37/91
Partial response [tex]{}[/tex] 16/55 26/55 13/55
No response [tex]{}[/tex] 35/96 7/24 11/32
c. The percentage of subjects that took Zoloft and showed full response is given as follows;
The percentage of subjects that took Zoloft and showed full response = 27/91 × 100 = 29.67%
There are 680 raisins in 8 bags. If each bag has the same number of raisins, how many raisins are in 12 bags? a. 900 raisins b. 935 raisins c. 1,020 raisins d. 1,056 raisins
Answer:
C
Step-by-step explanation:
We can divide the number of raisins by 8 because there are 8 bags (680÷8) which would be 85. Next we multiply the 85 by 12 because we need to find out the number of raisins in 12 bags (85×12), which would give us 1,020.
Solve for x: 1-2(x+1) = x+6
Answer:
Exact Form: x= - 7/3
Hope this helped! If you ever need anymore help feel free to ask. :)
Can I get the answers plz
Answer:
1) yes
2) yes
3) no
Evaluate r(x)=−x−7 when x=−2,0, and 5.
Answer:
-5, -7, and -12
Step-by-step explanation:
A function is defined as a relation between a set of inputs having one output each.
The values of the function r(x) at x = -2, 0 and 5 are -5, -7, and -12.
What is a function?A function is defined as a relation between a set of inputs having one output each.
The inputs are called the domain of the function.
The outputs are called the range of the function.
We have,
A function r(x)
r(x) = x - 7
The value of r(x) at x = -2:
r(-2) = - ( -2) - 7
r(-2) = 2 - 7 = -5
The value of r(x) at x = 0:
r(0) = -0 - 7 = -7
The value of r(x) at x = -2:
r(5) = -5 - 7 = -12
We see that,
Domain = -2, 0, and 5.
Range = -5, -7, and -12.
Thus,
The values of the function r(x) at x = -2, 0 and 5 are -5, -7, and -12.
Learn more about functions here:
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A room measuring 6m x 4m is carpeted leaving space of 25cm all around. Find the area of the carpet.
Answer:
Step-by-step explanation:
Length = 6m
Breadth =4m
[tex]Area = length\times breadth\\\\A = 6\times 4\\\\A= 24cm^2[/tex]
Answer:
area of carpet = 19.25 m²
Step-by-step explanation:
given:
A room measuring 6m x 4m is carpeted leaving space of 25cm all around.
find:
the area of the carpet
--------------------------------
carpet is offset 0.25m all round.
area of carpet = (6 - 0.25 - 0.25) x (4 - 0.25 - 0.25)
area of carpet = 5.5 m x 3.5 m
area of carpet = 19.25 m²
The actual length of a full-size school bus is 40 feet. Which toy school bus is built to a scale of 1inch = 5 feet?
Answer:
well
Step-by-step explanation:
40 ÷ 5 = 8
so the answer should be an 8 inch toy bus
A line has a y-intercept of 8 and a slope of 4. What is its equation in slope-intercept form?
Answer:
y = 4x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 4 and c = 8 , thus
y = 4x + 8 ← equation of line
The equation in slope-intercept form is y = 4x+8
What is the equation of a line?The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system.
Given that, a line has a y-intercept of 8 and a slope of 4.
We know that, the general equation of a line is given by, y = mx+c
where m is slope and c is the y intercept,
Here, m = 4 and c = 8
Therefore, the equation can be, y = 4x+8
Hence, The equation in slope-intercept form is y = 4x+8
For more references on equation of a line, click;
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sort each equation according to wether it has one solution, infinitely many solutions, or no solution
5(x - 2)=5x-7
-3(x - 4)=-3x+12
4(x+1)=3x+4
-2(x - 3)=2x-6
6(x + 5)=6x+11
Answer:
5(x - 2)=5x-7 has no solution
-3(x - 4)=-3x+12 infinitely many solutions
4(x+1)=3x+4 no solution
-2(x - 3)=2x-6 infinitely many solution
6(x + 5)=6x+11 no solution
Step-by-step explanation:
5(x - 2)=5x-7
-3=0
-3(x - 4)=-3x+12
0=0
4(x+1)=3x+4
x=0
-2(x - 3)=2x-6
0=0
6(x + 5)=6x+11
30=11
I hope this helps.
Which statements are true about the solution of 15 > 22 + x? Select all that apply.
A.
-6 is part of the solution.
B. x < -7
c. Thegraph has a closed circle.
D. x > -7
E.
-7 is part of the solution.
Answer:
B
Step-by-step explanation:
15>22+x
or, -x+15>22
or, -x>22-15
or, -x>7
or, x<-7 is your answer.
Find an equivalent mixed number for the decimal number. 6.44
Answer:
6 and 11/25
Step-by-step explanation:
Turn demical number into an unreduced fraction, or 6 and 44/100. Then, reduce the fraction to simplest terms via dividing by a common factor. In this case, 11.
Find the width of a rectangle is the perimeter is 56 cm and the length is 15 cm.
help ?
whats the formula for this
Answer:
13cm
Step-by-step explanation:
P=2l+2w
56=2(15)+2w
56=30+2w
26=2w
w=13
Kylie is shopping for Christmas presents for her friends. Her budget is $100 this year. She wants to buy $15 gift cards per friend, plus the $10 she spent on regular cards total. How many gift cards can she buy?
Answer: 6
Step-by-step explanation: If you subtract 10 from 100, you get 90, which is the total amount she can spend on gift cards. Divide 90 by 15, and you get 6.
Identify the hypothesis of the following statement: The plants will die if it does not rain soon. Select the best answer from the choices provided.
A it will rain
B. it does not rain soon
C. the plants died
D. the plants will die
Given the function f(x) = –5|x + 1| + 3, for what values of x is f(x) = –12?
Answer:
x = 2, -4
Step-by-step explanation:
To find the answer to this question, we will have to find the values of x where:
-5|x + 1| + 3 = -12
We can solve this equation for x to find the values of x that satisfy this equation.
-5|x + 1| + 3 = -12
Subtract 3 from both sides.
-5|x + 1| = -15
Divide both sides by -5.
|x + 1| = 3
Now here, the equation will split off into two different equations. These two are:
x + 1 = 3
x + 1 = -3
Lets solve the first one first.
x + 1 = 3
Subtract 1 from both sides.
x = 2
Now we solve the second one.
x + 1 = -3
Subtract 1 from both sides.
x = -4
So now we have the answers x = 2 and x = -4.
So the values of x are x = 2, -4
I hope this helps.
Answer:
the answer is C
Step-by-step explanation:
Jamari writes a number that is the same distance from 0 to 6 on a number line, but in the opposite direction. What number did Jamari write
Answer:
-6
Step-by-step explanation:
Jamari starts at 0 and goes to 6 but its in the negatives, anything behind the zero (0) going left we always be smaller (<) so the number he wrote was -6.
Evaluate f(2) when f(d)=2d-5
Answer:
f(2)= -1
Step-by-step explanation:
[tex]f(d) = 2d -5\\\\f(2)=?\\\\[/tex]
Substitute ; Let d =2 in the given function
[tex]f(2)= 2(2) -5\\\\f(2) = 4-5\\\\f(2) =-1[/tex]
y= 2x2 – 9x + 8
Deter sin the number of solutions for quadratic equation
Well if it is a quadratic equation, then it has 2 solutions
Do you need the solutions or just the number of solutions?
Right before a snow storm the hardware store sold
fifteen shovels in sixty minutes. At that rate the store
solda shovel every minutes.
Answer:
4
Step-by-step explanation:
60/15=4
The rate of change is 1/4 shovels/ minute of 0.25 shovels/ minute.
What is rate of change?Rate of change is the increase or decrease of any property with respect to any other property, when rate of change is studied for a time duration, the ratio of the difference in the property from initial state to its value at the end of the time duration is divided by the total time.
For an expression, the rate of change is determined by differentiation.
The hardware store sold 15 shovels in sixty minutes.
The number of shovels sold is 15.
The time duration in which the shovels are sold is 60 minutes.
The rate of the shovels sold every minute has to be determined.
Rate = ( No. of shovels sold) / Time duration
Substituting the values
Rate = 15 /60
Rate = 1/4
Rate is 1 shovel sold every 4 minute.
To know more about Rate of Change
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What is the domain and range of the graph?
Answer:
B
Step-by-step explanation:
XYZ has been bisected. Find the measurement of XYZ if m2 = 40°
Answer:
baby I'm a different yea yea yea yea ye
Helpppppppppppppppppopp
▪ Answer:
+ 16
▪ Step-by-step explanation:
Hi there !
(-2)^4 =
= (-2)(-2)(-2)(-2)
= (4)(-2)(-2)
= (-8)(-2)
= + 16
Good luck !
(-)(-) = +
(-)(+) = -
what is 3000 divided by 5000 subtracted from 200 plus 921
Answer:
1120.4 is what I got
Step-by-step explanation:
3000÷5000-200+921=721.6
answer is 721.6
can somebody help me find the slope of this line?
Answer:
the slope is 3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
The slope of the line is 3
