Answer:
She has 3 $10 bills, 5 $5 bills and 8 $1
3 times 10= $30
5 times 5 = $25
8 times 1 = $8
$30 + $25 + $8 = $63
A system of equations is a group of equations that can be solved simultaneously. Here we can find one that allows us to solve the given question.
We will see that: Jemila has 8 $1 bills, 5 $5 bills, and 3 $10 bills.
First, let's define the variables:
x = number of $1 bills in the piggy bank.y = number of $5 bills in the piggy bank.z = number of $10 bills in the piggy bank.Then the total amount of money in the piggy bank is:
$1*x + $5*y + $10*z
And we know that the total value is $63, then one equation is:
$1*x + $5*y + $10*z = $63
We also know that she has two more $5 bills than $10 bills, then:
y = z + 2
We also know that she has three more $1 bills than $5 bills, then:
x = y + 3
So our system of equations is:
$1*x + $5*y + $10*z = $63
y = z + 2
x = y + 3
To solve this, we need to isolate one of the variables in one of the equations. We can see that some variables are already isolated, like on the second or third equations.
For example, we can replace the second equation into the first and third ones:
$1*x + $5*y + $10*z = $63
x = y + 3
$1*x + $5*(z + 2) + $10*z = $63
x = (z + 2) + 3
Now we can simplify these to get:
$1*x + $15*z + $10 = $63
x = z + 5
Now we can replace the second equation on the first one:
$1*x + $15*z + $10 = $63
$1*(z + 5) + $15*z + $10 = $63
Finally, we can solve this for z.
$16*z + $5 + $10 = $63
$16*z = $63 - $15
$16*z = $48
z = $48/$16 = 3
z = 3
Now that we know the value of z, we can use it in the equations:
x = z + 5 = 3 + 5 = 8
y = z + 2 = 3 + 2 =5
Then the solution is:
x = 8y = 5z = 3Then Jemila has 8 $1 bills, 5 $5 bills, and 3 $10 bills.
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5f/6 = 30
it's a two step equation
Answer:
f=36
Step-by-step explanation:
5f/6=30
5f=30(6)
5f=180
f=180/5
f=36
Find the value of y that corresponds to x = –4 in the graph of the equation 2x + 3y = 13.
A)-7
B)7
C)9
D)-9
Evaluate the following expression. 6^-1
1/5x + 4 =1/3x-8
Can you show your work too? That would be great
Answer:
90
Step-by-step explanation:
1/5x+4=1/3x-8
add 8 to both sides and subtract 1/5x from both sides
4+8=1/3x-1/5x
12=5/15x-3/15x
12=2/15x
divide both sides by 2/15
12÷2/15=x
when dividing by a fraction, invert and multiply
12*15/2=x
90=x
CHECK:
1/5(90)+4=1/3(90)-8
18+4=30-8
22=22
Does anyone know how to answer this problem?
Here's the picture.
Answer:
3 [tex]\frac{46}{81}[/tex]
Step-by-step explanation:
change 1 [tex]\frac{8}{9}[/tex] to an improper fraction
1 [tex]\frac{8}{9}[/tex] = [tex]\frac{17}{9}[/tex] , thus
[tex]\frac{17}{9}[/tex] × [tex]\frac{17}{9}[/tex] = [tex]\frac{289}{81}[/tex] = 3 [tex]\frac{46}{81}[/tex] or 3.57 ( to 2 dec. places )
Answer:
3.57
Step-by-step explanation:
1 8/9 =
(17/9)^2
17/9 x 17/9
17 x 17/ 9 x 9
17^2/ 9^2
289/81
3.567901
3.567901 Rounded is 3.57
Hope this helps!
Plz name brainliest if you can!
The given line segment has a midpoint at (−1, −2).
On a coordinate plane, a line goes through (negative 5, negative 3), (negative 1, negative 2), and (3, negative 1).
What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?
y = −4x − 4
y = −4x − 6
y = One-fourthx – 4
y = One-fourthx – 6
y = Three-halvesx + 1
Answer:
The given line segment has a midpoint at (−1, −2).
On a coordinate plane, a line goes through (negative 5, negative 3), (negative 1, negative 2), and (3, negative 1).
What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?
y = −4x − 4
y = −4x − 6
y = One-fourthx – 4
y = One-fourthx – 6
y = Three-halvesx + 1
Yope had $200 to buy food for the community picnic. She bought 11 packages of hot dogs and 8 packages of buns. Each package of hot dogs cost $14.05, and each package of buns cost $3.55. How much money did Yope have left after her purchases?
Answer:
17.05 dollars left
Step-by-step explanation:
11 x 14.05 = 154.55
8 x 3.55 = 28.4
154.55 + 28.4 = 182.95
200 - 182.95 = 17.05
hope this helps you ;)
pls give me brainlest :)
Answer: the answer is b 17.05
Step-by-step explanation:
A triangle has three sides of length x, x+4, and 2x-1. The perimeter of the triangle is 27.
What are the three side lengths of the triangle?
Answer:
6.10,11
Step-by-step explanation:
x+x+4+2x-1=27
4x+3=27
4x=27-3
4x=24
x=24/4=6
x+4=6+4=10
2x-1=2×6-1=11
Which defines a circle?
Answer:
all coplanar points equidistant from a given point
Find the mean, median, and mode
4, 8, 8, 4, 8, 4, 9, 3
Can some one help me I having trouble
Answer:
Step-by-step explanation:
Mean (Average):
6.42857
Median (Middle):
8
Mode (Most Common):
4,8
what is the rate of change of x 3 ,7 ,4,1
y,14,30,18,6
Answer:
uzthcticsisvyqubxquebcoueqchpquehchqq7phcp7qqeqcqe70chpqhc8qc8h8sliabusdahudhuahu wh8r8ch8hc8qipwa8r7rwh8h8rvh8hv8whivhiwhv8w9hrrhc
iihpicaiphcheihpihphfpi fp8qh p8rnroqbipicrulqAQQvb
Step-by-step explanation:
ugacptqpvyoacabxyipsasyaoX
cilqguog ihi ehiqulbd
bpabuovueqo2
New York City uses about one billion, three hundred million gallons of water each day.
Answer:
ya about 1 billion
Dang that's a lot
What angle measure is complementary to 87 degrees?
How do you round 25.62 to the nearest ten
Answer:
If its below 5 then it stays the same but if its over 5 then round up. 26
Step-by-step explanation:
choose all the answer that apply
which of the following are general characteristics of animal
specialized tissue
spinal cord
nervous system
autotropic
mobility
Answer:
mobility is a general characteristic of animals
Step-by-step explanation:
spinal cord is apart of an animal and nervous system is a system in animals autrotrophic is the feeding mode of plants
specialized tissue is a collection of cells specialized to perform the same function
I need help with this
========================================================
Explanation:
Y is between X and Z (not necessarily at the midpoint). This means the three points are on the same line. Going from left to right we have X, Y and Z in that exact order.
Put another way, segment XZ is cut into smaller pieces XY and YZ.
The smaller pieces XY and YZ add back up to the largest segment XZ.
--------------
XY + YZ = XZ
( XY ) + ( YZ ) = XZ
( 7a ) + ( 5a ) = 6a+24 ..... substitution
7a+5a = 6a+24
12a = 6a+24
12a-6a = 24 ....... subtracting 6a from both sides
6a = 24
a = 24/6 ....... dividing both sides by 6
a = 4 is the first answer we're after
-------------
Use this value of 'a' to find the length of each segment
XY = 7a = 7*4 = 28
YZ = 5a = 5*4 = 20 is the second answer we want
XZ = 6a+24 = 6*4+24 = 48
Note how XY+YZ = 28+20 = 48 to match with XZ = 48 we got in the previous line above.
Please help 7th ac math
Answer:
1/2x
Step-by-step explanation:
[tex]\frac{\frac{1}{4}+x *\frac{2}{1} }{\frac{1}{2}\frac{2}{1} } =\frac{2}{4} + 2x= \frac{1}{2} + 2x[/tex]
To solve this type of fraction you need to times the inverse of the bottom fractal, both over and under. In this case the inverse of 1/2 is 2/1
I need helpppppppppppp
What value is equivalent to 0.5
Answer:
Percent equals Decimal equals Fraction equals
0.5% 0.005 1⁄200
Hope This Helps!!!
Answer:
1/2 would be correct. Hope it helped <3
15-10÷5+5?What is the answer
Answer:
18
Step-by-step explanation:
15-10÷5+5
First distribute the 10 ÷ 5.
15-2+5
Left to right, Subtract the 15-2.
13+5
Add.
18
Answer:
18
Step-by-step explanation:
WILL GIVE BRAINLIEST 8+7-4
Answer:
11
Step-by-step explanation:
8 + 7 = 15.
15 - 4 = 11
Your answer would be 11.
Answer:
11
Step-by-step explanation:
put the 8 and 7 in () so now it is (8+7)-4 then add the (8+7) which is 15 so now it is 15-4 which is 11
In July, the average temperature in one US city was 29°C. By December, the average temperature had fallen by 29°C. Explain why the average temperature in December was 0°C.
Answer:
The temperature went up 29°C, which represents a positive 29. Then the temperature fell 29°C, which represents a negative 29. The average temperature rose and fell the same amount. The absolute values are the same, so the difference is 0.
Step-by-step explanation:
Edgenuity 2020
Answer:
Sample response: The temperature went up 29°C, which represents a positive 29. Then the temperature fell 29°C, which represents a negative 29. The average temperature rose and fell the same amount. The absolute values are the same, so the difference is 0.
Step-by-step explanation:
I did the assignment
What is the key idea when combining like terms?
A damsel is in distress and is being
held captive in a tower. Her knight in
shining armor is on the ground below
with a ladder. When the knight stands
15 feet from the base of the tower and
looks up at his precious damsel, the
angle of elevation to her window is 60
degrees. How long does the ladder
have to be?
Answer:
30 feet
Step-by-step explanation:
Let x be the length of the ladder. Then, x cos(60) = 15
If we divide both sides by cos(60), then x = 30 feet.
The length of ladder to be used by knight will be of 30 feet
What is angle of elevation?The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.
According to the question
The knight stands 15 feet from the base of the tower and the
angle of elevation to her window is 60 degrees.
Therefore, In figure
AB = Height of tower
CA = Distance between knight and tower = 15 feet
BC = Length of the ladder
angle of elevation = 60°
Now ,
Cos(60°) = [tex]\frac{Base}{Hypotenuse} = \frac{distance between knight and tower}{Length of the ladder } = \frac{15}{BC}[/tex]
[tex]\frac{1}{2} = \frac{15}{BC}[/tex]
BC = 30 feet
Length of the ladder = 30 feet
Hence, the length of ladder will be used is 30 feet .
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The point-slope form of the equation of the line that passes through (-5, -1) and (10,-7) is
v+7 = -Ź (x– 10). What
is the standard form of the equation for this line?
ΟΟΟΟ
O 2x - 5y = -15
2x - 5y = -17
2x + 5y = -15
2x + 5y = -17
Please hurry I need this question answered ASAP pretty please
Answer: I just took the test and this is the answer I got
2x+5y=-15
Can someone help me solve these or explain it to me?
PLEASE HELP! 15 POINTS What are the factors of the expression 4(q−18+p)?
Answer:
4 and (q − 18 + p)
Step-by-step explanation:
Given:
4(q−18+p)
The factors are
4 and (q − 18 + p)
A factor refers to something which is multiplied by something else. It could be a number, variable, term, or a longer expression.
For example. The factors of the expression 6x(y +2)
are 6, x and (y+2)
Using appropriate properties find. 2/5×(-3/7)-1/6×3/2+1/14×2/5
Which types of life experiences have shaped your identity?
point r is rotated about the center shown by 270 clockwise which point is the image of r choose one answer
please help
Answer: D
Step-by-step explanation:
1/3) Let’s imagine a circle that passes through point R with the given center.
2/3) A 270 ángel takes up 3 on 4 of the circle.
3/3) D is the image of point R.
Clockwise rotation means rotating in the same way or direction as the hands of a clock move.
If point R is rotated about the center by 270 clockwise the image of point R is point D.
What is clockwise rotation?Clockwise rotation means rotating in the same way or direction as the hands of a clock move.
We have,
Point R is rotated clockwise about the center by 270 degrees.
We need to find the position of the R after the rotation.
i.e the image of the point R.
We know that the whole circle rotation is considered to have a 360-degree rotation.
270-degree rotation means it has rotated 3/4th of the circle.
So from the given figure, if the point R is rotated 3/4th of the figure in a clockwise direction the point R will be in the position of point D.
i.e the image of point R will be Point D.
Thus the image of point R is point D.
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