Let x be number of $10 dollar bills
Let y be number of $5 dollar bills
Let z be number of $1 dollar bills
From the question, we can come up with three equations (so we can find the values of x, y & z) :
10x + 5y + z = 101 y - x = 5z = 4xThe first equation comes from finding the total money Elizabeth has, which is $101.
The second equation comes from value of y (number of $5 bills) is more than value of x (number of $10 bills) by 5 dollars.
The third equation comes from the value of z (number of $1 bills) being 4 times more than the value of x (number of $10 bills).
Now, we will begin to find the value of x, y & z.
From the first equation,
10x + 5y + z = 101
Substitute the third equation (z = 4x) into z:
10x + 5y + 4x = 101
Simplify this and you get,
14x + 5y = 101
Now, we use the second equation. The second equation is y - x = 5. If we try to make y as the subject, it becomes y = 5 + x.
Now, substitute this into the value of y of the last working we did:
14x + 5(5+x) = 101
Simplify that and it becomes:
x = 4
Then, substitute this value of x into the second and third equations to find y and z.
y - x = 5
y - 4 = 5
y = 9
z = 4x
z = 4(4)
z = 16
Finally, let's check these answers by substituting them into the first equation to try and see if the total value is really $101.
10x + 5y + z = 10(4) + 5(9) + 16
10x + 5y + z = 40 + 45 + 16
10x + 5y + z = 101
Thus, our answers are correct. Elizabeth has FOUR $10 bills, NINE $5 bills and SIXTEEN $1 bills.
Answer:
Thus, our answers are correct. Elizabeth has FOUR $10 bills, NINE $5 bills and SIXTEEN $1 bills.
Step-by-step explanation:
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If f(x) is a linear function ,f(-1)=-3 , and f(4)=-5 , find an equation for f(x)
Answer:
f(x) = -²/₅ x - ¹⁷/₅Step-by-step explanation:
The equation of the linear function: f(x) = mx + b
f(-1) = -3 ⇒ -3 = m(-1) + b ⇒ m = b + 3
f(4)=-5 ⇒ -5 = m×4 + b
-5 = 4(b+3) + b
-5 = 4b + 12 + b
5b = -5 - 12
b = -¹⁷/₅
m = -¹⁷/₅ + 3 = -¹⁷/₅ + ¹⁵/₅ = -²/₅
Therefore the function:
f(x) = -²/₅ x - ¹⁷/₅can someone please help me with these 2 problems?
Answer:
1) 121 students
2) $330
Step-by-step explanation:
1) 44 percent of 275 is 0.44 * 275 = 121 students
2) 20 percent of 275 is 0.2 * 275 = 55. 275 + 55 = $330
simplify 3 3^square root of 16
Answer:
2.5198421 is yhe answer of 3^√16
What is the measure of y?
3
27
N
y = [?]
Enter the number that belongs in the green box.
Answer: 9
Step-by-step explanation:
On a scale drawing with a scale of 1 inch:5 feet, a tree is 5 inches tall. How tall is the actual tree?
Answer: 25
Step-by-step explanation:
If 1 inch equal to 5 feet in this equation than. 5 inches=25 because 5 inches and each inch is 5 feet so 5x5=25
hope this helps
Pls help will mark brainliest
Answer:
obtuse
Step-by-step explanation:
22^2+32^2<55^2
if the longest side is greater than its obtuse
Find the area of a square with side = 6 cm.
Answer:
isn't it 36cm^2
Step-by-step explanation:
sqaure is even so i think you do 6×6
Answer:
36cm
Step-by-step explanation:
Area of a square= Side^2
= 6^2
= 36
Help please I’ll love you forever
Answer:
The answer is 135 I'm pretty sure.
Step-by-step explanation:
It seems very reasonable for it to be 135
Solve for x in the equation x2 + 4x-4- 8.
0 x = -6 or x = 2
X=-2+2-2
O x = -2 or x = 6
X=2+2112
Answer:
2(n+2x-6)
Step-by-step explanation:
n x 2+4x-4-8
Use the Distributive Property to rewrite this algebraic expression.
6(11 + x)
I've been stuck on this for a hour, Can someone help pweasee ....oh and that's not the answer if i made that answer alittle bit darker from the others
George weeded 1/4 of the garden, and summer weeded, some too. When they were finished, 2/5 of the garden still needed to be weeded. What fraction of the garden did summer weed?
Answer: [tex]\dfrac{7}{20}^{th}\ \text{Part}[/tex]
Step-by-step explanation:
Given
George weeded [tex]\frac{1}{4}[/tex] of the garden
When they both finish, [tex]\dfrac{2}{5}[/tex] of the garden still needed to be weeded
Suppose Summer weeded [tex]\dfrac{1}{x}[/tex] part
[tex]\Rightarrow \dfrac{1}{4}+\dfrac{1}{x}=1-\dfrac{2}{5}\\\Rightarrow \dfrac{1}{4}+\dfrac{1}{x}=\dfrac{3}{5}\\\Rightarrow \dfrac{1}{x}=\dfrac{3}{5}-\dfrac{1}{4}\\\Rightarrow \dfrac{1}{x}=\dfrac{12-5}{20}=\dfrac{7}{20}[/tex]
So, summer weeded [tex]\dfrac{7}{20}\ ^{th}[/tex] part of the garden
The perimeter of a triangle is 122 centimeters. If two sides are equally long and the third side is 8 centimeters longer than the others, find the lengths of the three sides.
Answer:
2 sides are 38cm long
The third is 46cm long
Step-by-step explanation:
We can use the following equation to solve
[tex]122 =x + x + (x + 8)[/tex]
Reduce
[tex]122 = 3x + 8[/tex]
114÷3 = x
x = 38
We then add 38 and 8 because the 3rd side is 8cm longer
What does Luffy from One Piece like better?
A). Meat
B). Attacko
C). Sleep
D). Yell
E). Luffy is uncapable of thinking which one is better
eㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
watch wonder egg priority & sk8 Infinity
on 4anime dot to
Answer:
Meat
Step-by-step explanation:
The only thing he can practically think about is Meat, Pirate King, and his pirate crew.
Brooke uses 8.6 pints of blue paint and white paint to paint her bedroom walls. 3/5 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?
Answer:
3 11/25 pints of white paint
Step-by-step explanation:
8 6/10 is the same as 43/5
if 3/5 of the total pints are blue then 2/5 are white
so multiply 43/5 x 2/5 to get 86/25 which equals 3 11/25
find the area of this circle and I'll give you brainliest!!
Answer:
572.555
Step-by-step explanation:
A=Πr²
A=3.14×13.5²
A=572.555
A rental car company charges $38.38 per day to rent a car and $0.14 for every mile driven. Camden wants to rent a car, knowing that: He plans to drive 350 miles. He has at most $270 to spend. Which inequality can be used to determine xx, the maximum number of days Camden can afford to rent for while staying within his budget?
Answer:
5.75 days
Step-by-step explanation:
Given data
let the number of days be x and the number and the number of miles be y
so that the cost of the rental will be
c= 38.38x+ 0.14y---------1
we are told that the amount at hand is $270
hence
270=38.38x+ 0.14*(350)
solve for x
270= 38.38x+49
270-49= 38.38x
221= 38.38x
divide both sides by 38.38
x= 221/38.38
x= 5.75 days
Hence the number of days is 5.75 days
The area of a circle is 144π in². What is the circumference, in inches? Express your answer in terms of π
Answer:
42.54 inches
Step-by-step explanation:
What percent is 11 out of 20?
Answer:
55%
Step-by-step explanation:
Make 11 out of 20 as a fraction:
[tex]\frac{11}{20}[/tex]
11 ÷ 20 is 0.55.
To make a decimal a percent, you multiply it by 100. So,
0.55 x 100 = 55
= 55%
So, the answer is 55%
The requried, percentage of 11 out of 20 is 55%.
To find the percentage of 11 out of 20, you can use the following formula:
Percentage = (Part / Whole) * 100
In this case, the "part" is 11 and the "whole" is 20. Plug these values into the formula:
Percentage = (11 / 20) * 100
Calculate the value:
Percentage = 0.55 * 100
Percentage = 55%
So, 11 is 55% of 20.
Learn more about percentages here:
https://brainly.com/question/13162258
#SPJ6
find the total surface area of cuboids of length 12cm breadth 10cm and height 5cm.
Answer:
length =12 cm breadth =10 cm height =5 cm
TSA=2(lb+bh+lh)=2[12×10+10×5+5×12]
TSA=2[120+50+60]=2×230
[TSA=460cm 2 ]
Step-by-step explanation:
Hope it is helpful....
Step-by-step explanation:
length=12cm
breadth =10cm
height =5cm
we know that,
T.S.A of cuboid= 2(lb+lh+bh)
=2(12*10+12*5+10*5)
=2* 230
=460.
Hope it will help
In a right triangle, the shortest leg is 15 centimeters, and one angle equals 30 degrees, what is the length of the
hypotenuse?
Answer:
30
Step-by-step explanation:
This is a 30 60 90 triangle. Since it tells us it a right triangle (which means it has a 90 degree angle). Also it tells us that there is a 30 degree. Using the triangle interior theorem, the third angle is a 60 degree
angle
The longest side or hypotenuse is twice the length of the shortest side. So the hypotunes is 30.
Determine if the table is linear or non linear
-9,-7
-6,-7
-1,2
14,16
Answer:
I plot the points to a graph but I don't have access to a 14 I only have a 10 grid graph but I was able to plot the other points this is wht I got
Step-by-step explanation:
let me know if u can't see it..... I would say it's nonlinear
i need help will give brainliest if correct.
Answer:
The answer I got was 2. hope that helps.
Step-by-step explanation:
Look at this view so cool right?
Answer:
ahhhh so prettyyyyy
Step-by-step explanation:
Simplify
2(x + 14) + (2x – 14)
Answer:
Step-by-step explanation:
2(x + 14) + (2x - 14)
= 2x + 28 + 2x - 14
= 4x + 14
Answer:
4x+14
Step-by-step explanation:
Brainleist pls?
if you walk 1.5 hours at 3mph, how fast shoukd you run in the next 0.5 hours to have the average speed of 4mph
Answer:
avg speed= total distance / total time
total time= 0.5+1.5= 2 h
d1= v1 t1=1.5×3=4.5
d2=v2t2
v2=x...let
d2=0.5x
atq....4.5+0.5x/2= 4
4.5+0.5x=8
x= v2=7mph
Answer:
7 mph
Step-by-step explanation:
please i’ll give you brainliest and thanks !
Answer:
1. 40
2. 124
3. 160
Step-by-step explanation:
1. 12x - 20 = 60 - 20 = 40
2. 12x - 20 = 144 - 20 = 124
3. 12x - 20 = 180 - 20 = 160
The expression (x^13)(x^6)^3 is equivalent to x^p what is the value of p?
Answer:
Step-by-step explanation:
If x can be any number, then p = 22.
If x = 0 or 1, then p can be any number.
Write a number sentence to represent the situation 3/4 divided by 5.
The answer is 20
yep i think so
Answer:
3/20
Step-by-step explanation:
[tex] \frac{3}{4} \div 5 \\ \\ = \frac{3}{4} \times \frac{1}{5} \\ \\ = \frac{3 \times 1}{4 \times 5} \\ \\ = \frac{3}{20} [/tex]
4 If 2 sin X = 1 (where X is the measure of an acute angle), then X =
(a) 45°
(b) 90°
(c) 30°
(d) 60°