Answer:
21 pencils for Nick and 63 pencils for Lance
Step-by-step explanation:
Lance is said to have 3 times the pencils Nick has.Let's keep the number of pencils Nick has as x.If Nick has x pencils that means Lance has 3x pencils. The total number of pencils present is 84.Now let's make an equation out of the information above:
3x + x = 84
Now solve for x.
3x + x = 84
4x = 84
x = 84/4
x = 21
So Nick has 21 pencils
Now for Lance:
3x
3 * (21) = 63
So Lance has 63 pencils
63 + 21 = 84 pencils
Suppose that $5,000 is invested at an interest rate of 7% compounded monthly.
What is the balance after 8 years
Which of the following is not a real number?
Step-by-step explanation:
A
3. The area of a square is 169 cmWhat is the length of the diagonal of
the square?
Answer:
18.4 cm
Step-by-step explanation:
A square has equal sides. Let's say one side is x. The area would be x^2. We know the area to be 169 cm^2, so:
x^2 = 169 cm^2
x = 13 cm
The diagonal, z, would form a right triangle with two sides of length 13 cm. The Pythagorean theorem can be used:
13^2 + 13^2 = z^2
z^2 = 338
z = 18.38 cm, or 18.4 cm
true or false when a figure has an enlargement, the figure gets smaller
Answer:
False.
Step-by-step explanation:
False.
To enlarge means to become bigger.
Answer:
False
Step-by-step explanation:
When something is enlarged, it gets bigger, when it(the item) is minimized it becomes smaller.
What is 9 - (-5) - 14 ?
How much greater is the median number of pairs of shoes in the inventory at the Golf Pro Shop than the median number of pairs of shoes in the inventory at the Tennis Pro Shop? Enter your answer in the box.
The difference between the median of the golf pro box and tennis pro box is 20.
What is Median?
The median is the middle value of an entire data set. If the number of data points(observations) in the set is odd then the middle value is the median but, for an even number of observations, the median is calculated by finding the means for the two middle data points.
As we know that the vertical line in the box plot is the median. Therefore, the median of the Golf pro shop is 40, while the median of the tennis pro shop is 20.
The difference between the median of the golf pro box and tennis pro box
= 40 - 20
= 20
Hence, the difference between the median of the golf pro box and tennis pro box is 20.
Learn more about Median:
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On average, crossfit workouts burn 280 calories in 1/4 hour of an hour. How many calories are you burning in one hour?
Answer:
1,120 calories burned in one hour
Step-by-step explanation:
On average, cross fit workouts burn 280 calories in 1/4 hour of an hour. How many calories are you burning in one hour?
280 x 4 = 1,120 calories burned in one hour
hope this helped :D
Which expression is equivalent to mc011-1?
A. mc011-2
B. mc011-3
C. mc011-4
D. 3m
Equivalent expressions are expressions that have the same value.
The equivalent expression of [tex]3m + 1[/tex] is [tex]2 + m - 1 + m[/tex]
From the complete question, the expression is given as:
[tex]3m+1-m[/tex]
Collect like terms
[tex]3m+1-m = 3m - m + 1[/tex]
Evaluate like terms
[tex]3m+1-m = 2m + 1[/tex]
Express 2m as m + m
[tex]3m+1-m = m + m + 1[/tex]
Express 1 as 2 - 1
[tex]3m+1-m = m + m +2 - 1[/tex]
Rewrite the expression as:
[tex]3m + 1 = 2 + m - 1 + m[/tex]
Hence, the equivalent expression of [tex]3m + 1[/tex] is [tex]2 + m - 1 + m[/tex]
Read more about equivalent expressions at:
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Answer:
the answer is c
Step-by-step explanation:
0.3 miles (mi). How long is this in yards (yd)?
Answer:
528 yards
Step-by-step explanation:
because 1 mile = 1,760 yards so if you if you find how much o.1 miles is to yards which is 176 yards and times it by three you should get you answer which is 528 yards.
2, 20, 4,40, 8, 80, 16,
What is the pattern?
Answer:
multiplied by 10, divided by 5
Step-by-step explanation:
Answer:
multiply by 10
Step-by-step explanation:
1.) 2, 20 2x10=20
2.) 4, 40 4x10=40
4.) 8, 80 8x10=80
thats the pattern and jope i helped. -Adiel, age 11, 6th grade
-3 (6x-8) = 168
what is x=
Answer:
X= -8
Step-by-step explanation:
1. -18x+24=168
2. -18x=168-24
3. -18x=144
4. x = -8
Answer:
x = -8
Step-by-step explanation:
-3(6x-8) = 168 (Distribute -3 t0 6x and -8)
-18x + 24 = 168 (subtract 24 on both sides)
-18x = 144 (divide by -18 on both sides)
x = -8
If you bought 4 pounds of pasta at the rate of 8 pounds to $9.00, how much would it cost?
Answer:
$4.50
Step-by-step explanation:
If 8 pounds is 9 dollars, then each pound is $1.125, times 4 is $4.50. Hope this helps :)
Will someone pls explain who i do this the equation is 14=-2-6-3
14 = -2 -6 -3
or
lhs....= -2 -6 -3
= -11
rhs...= 14
:. lhs is not equal to rhs
hence , proved .
Answer:
LHS =-11 and RHS is 14
as both are. not equal hence proved inequality
If 5y - 8 < 12, what is the maximum possible value of 10y
What is the simplest interest formula?
I=p-rt
I=Prt
I=P+r+t
Answer:
I=Prt
Step-by-step explanation:
The simple interest formula is given as;
I = Prt
where I is the simple interest
p is the principal
r is the percentage rate
t is the duration
Simple interest accrues on the principal of either a loan or an investment. This amount is payable after a duration of time.
Principal is the amount borrowed or invested in a business
Rate is the percentage commission to be paid on the amount borrowed
Time is the duration of the borrowing.
What is 275 divided by 38
The opposite of 720 is equal to 180 less
than 12 times a number. Write an
equation that can be used to determine
the number.
Answer:
-720 = 180 - 12x
Step-by-step explanation:
Hope it helps.
PLEASE HELP ASAP
If the width of a rectangle with perimeter P is 6 units, what is its length?
Answer:
p/2-6
Step-by-step explanation:
Can someone help me with this problem
Answer:
she would have filled it 32 times
Dylan weighs 45 pounds. Use the simplified expression you found in Part F to recalculate Cecil’s weight. Show your work.
Answer:
Cecil is 216 lbs
Step-by-step explanation:
d= Dylan
45
2d+3= Alan
93
3d-12= Bruce
123
Bruce+Alan =Cecil
216
Which of the equations below is represented by the following graph?
O 2 + 5 = 7
O 3+4=7
O (-1) + 8 = 7
O 6 + 1 = 7
Answer:
there is no graph what the heck dude
Step-by-step explanation:
sing-chi chow has a single plan. the ppo annual premium is $12,436
the employer pays 85% of the cost. (a) how much does sing-chi pay
-
annually? (b) how much is deducted from his weekly paycheck?
e
If the ppo annual premium is $12,436 the amount that sing-chi pay is $1,865.40 and the amount deducted from his weekly paycheck is $35.87.
Annual premiuma. Payment
Using this formula
Payment=Annual premium×(1-rate)
Let plug in the formula
Payment=$12,436×(1-0.85)
Payment=$12,436×0.15
Payment=$1,865.40
2. Weekly paycheck deduction:
Weekly paycheck deduction=Payment ÷Numbers of week in a year
Weekly paycheck deduction=$1,865.40/52 weeks
Weekly paycheck deduction=$35.87
Inconclusion the amount that sing-chi pay is $1,865.40 and the amount deducted from his weekly paycheck is $35.87.
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Look at ΔABC. Which triangle is congruent to ΔABC by the ASA criterion?
Answer:
Triangle 4
Step-by-step explanation:
50 POINTS!! ANSWER CORRECTLY PLEASE!
Consider the dilation:
(a) Is the image of the dilation a reduction or an enlargement of the original figure? Explain.
(b) What is the scale factor? Explain.
Answer:
Reduction
Why ?
See co-ordinates decreased back in dilated figure .#b
M=(-3,3)M'=(-2,2)S=(6,3)S'=(4,2)V=(3,-3)V'=(2,-2)Scale factor:-
[tex]\\ \rm\rightarrowtail \dfrac{-2}{-3}=\dfrac{4}{6}=\dfrac{2}{3}[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{2}{3}=\dfrac{2}{3}=\dfrac{2}{3}[/tex]
Scale factor=K=2/3Answer:
The original figure is MSV and the dilated figure is M'S'V'
Therefore, the dilation is a reduction of the original figure since the side lengths have reduced in length.
To determine the scale factor, choose one of the sides and compare the length before and after the dilation → let's use MS:
length of MS = 9 units
length of M'S' = 6 units
⇒ scale factor = length after dilation ÷ length before dilation
= 6 ÷ 9
= 2/3
To find the center of dilation, draw a line through each point and its corresponding dilated point. The point at which the 3 lines meet is the center of dilation.
Therefore, the center of dilation for this question is the origin (0, 0)
carly sold 18 rolls of wrapping paper. that is 2 times as many rolls as jasmine sold. how many rolls of wrapping paper did they sale altogether ?
Find the equation of the linear function represented by the table below in slope-
intercept form.
X
0
1
2
3
4.
у
9
18
27 36
45
Answer:
y = 9x + 9
Step-by-step explanation:
so the points are:
(0,9) (1, 18) (2, 27) (3, 36) (4, 45)
since the y intercept is when x is 0 write it in the equation!
y = mx + 9
now to solve for slope
use the equation y2 - y1/ x2 - x1 or y1 - y2/x1 - x2
sooo use (1, 18) and (2, 27)
27 - 18/2 - 1
9 / 1 = 9
y = 9x + 9
check with the points you did not use!
(3, 36)
36 = 9(3) + 9 ?
36 = 27 + 9?
36 = 36
A square has a perimeter of 100cm What is the length of each side?
Answer:
each side of the square is 25cm
Step-by-step explanation:
this is because of two things:
1. a square has equal sides
2. the perimeter is all the sides added together.
so if you call the length of one side x, you can make this equation:
x + x + x + x = 100
combine like terms
4x = 100
divide both sides by 4
x = 100/4
x = 25
Answer:
25 cm
I hope this helps!
help? please help me?
Answer:
D/ 14.00
Step-by-step explanation:
Since the first hour pays $14 that shows the hourly wage. Also the difference between the other hours is 14. Example 3rd hour 42 2nd hour 28. 42-28= 14.
after she wrote a check $240, May Bounce had a balance in her checking account of -$6. what was her balance before she wrote the check?
Answer:
her balance was most likely $234 she took 6 dollars more than she had
In the data set {(7,7);(3,10);(5,9);(2,12);(0,1);(6,4);(4,10);(8,6)}, which point is a possible outlier? please help :(
Answer: Choice D
(0,1)
==================================================
Explanation:
Plot all of the points on the same xy grid as shown below.
The majority of the points cluster together somewhat. In this cluster we have a downward trend (aka negative correlation). As x gets bigger, y gets smaller, and vice versa.
Highlighted in red is the point (0,1) which is fairly separate from the main cluster of other black points. This is the outlier that will pull the regression line away from the main cluster of points.