Nickels: 22
Dimes: 24
Quarters: 27
2 more dimes than nickels, we already know that there are 22 nickles so...
Dimes= 24
3 less dimes that quarters ^(we already know how many dimes).
All we have to do is add 3 to the amount of dimes!
Quarters 27
____________________________________________________________
Now to find the amount of money you have to find out what each coin equals and multiply the number of coins by the cost of each coin, and then by 100 because there are 100 cents in 1 dollar.
22 nickels*5/100= $1.10
24 dimes*10/100= $2.40
27 quarters*25/100= $6.75
1.10+2.40+6.75= $10.25
The amount of money he has in $10.25
Xochitl has saved $201.60. Yamka has saved LaTeX: \frac{2}{3}2 3 the amount Xochitl saved. Zack has saved 1.5 times the amount Yamka saved. How much have they saved all together?
Answer:
$537.60
Step-by-step explanation:
Xochitl has saved $201.60.
Yamka has saved 2/3 the amount Xochitl saved.
The amount Yamka has saved us calculated as:
2/3 × $201.60
= $134.40
Zack has saved 1.5 times the amount Yamka saved.
The amount Zack has saved is
1.5 × $134.40
= $201.60
How much have they saved all together?
This is calculated as:
$201.60 + $134.40 + $201.60
= $537.60
Subtract.
(2x4−x2+5x−2)−(−x4+3x3+2x2−1)
Answer:
477
Step-by-step explanation:
:)
Given: m∠A = m∠C = 90°
AB ║ DC
Prove: ∆ABD ≅ ∆CDB
40 points
Answer:
ABD = CDB
AB is parallel to DC
Step-by-step explanation:
angle a and c are right angles so they are equal and angle b and d are equal because they have a line that touch both letters
AB and DC are parellel because they are the same looking lines just on oppisite sides
As per the ASA congruence theorem, the triangles ΔABD and ΔCDB are congruent.
What are alternate interior angles?When two parallel lines are intersected by a transversal, alternate external angles are created.
Given that, m∠A = m∠C = 90° and AB║DC.
In triangles ΔABD and ΔCDB,
m∠A = m∠C = 90°
m∠ABD = m∠BDC (Alternate interior angles)
BD = DB (Common side)
Hence, as per the ASA congruence theorem, the triangles ΔABD and ΔCDB are congruent.
Learn more about the alternate interior angles:
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#SPJ2
Select all of the points that are solutions to the linear equation 2x + 9y = 54
good luck
Step-by-step explanation:
a jar contains 10 caramels 5 mints and 15 dark chocolates what is the probability of selecting vs mint expressed as show ur working out
Answer: The probability of selecting a mint 1/6
Step-by-step explanation:
the jar contains 30 different candies
out of the 30, 5 are mints
5/30 = 1/6
in the figure given alongside find angle ACD angle ADC and angle DAE
I need a little bit of help right now.
Eric wants to send a package to his mother. If he chooses UPS, the fixed express fee is 10 dollars and each kilogram costs 2 dollars. For Fedex, the fixed fee is 20 dollars and each kilogram costs only 1 dollar. If the total costs of the two options are the same, how many kilogram of package does Ericsend? Write a system of equations in order to solve this problem.
Answer:
10kg
Step-by-step explanation:
For UPS;
express fee = $10
If one kg costs $2, then x kg of package will coat $2x
Total cost of shipping xkg of package will be 10+2x
For FedEx;
Fixed express fee = $20
If one kg costs $1, then x kg of package will coat $1x
Total cost of shipping x kg of package is 20+x
If the total costs of the two options are the same, then;
10+2x = 20+x
2x-x = 20-10
x = 10.
Hence Eric sent 10kg of package
Can I please get some help with this :D
X-7
4x + 1
ngle.
6x + 2
Find the perimeter
Answer:
ANSWER
GIVEN:
OA= 3x-1 , OC= 5x-3, OD= 6x-5 , BO = 2x+1
AO/OC = BO/OD
[The diagonals of a Trapezium divide each other proportionally]
(3x-1)/(5x-3) =( 2x+1)/(6x-5)
(3x-1) (6x-5) = (5x-3) ( 2x+1)
3x(6x-5) -1 (6x-5) = 2x(5x-3)+1(5x-3)
18x² -15x -6x +5 = 10x² -6x +5x -3
18x² -21x +5 = 10x² - x -3
18x² -10x² -21x + x +5+3 =0
8x² - 20x +8= 0
4(2x² -5x +2) = 0
2x² -5x +2 = 0
2x² -4x -x +2= 0
[By factorization]
2x(x-2) -1(x-2)= 0
(2x-1) (x-2) = 0
(2x-1) = 0 or (x-2) = 0
x = ½ or x = 2
If we put x= ½ in OD , The value of OD is negative.
Hence, the value of is x = 2.
Step-by-step explanation:
1 =29 and 2=44...............
determine if l || m based on the information given on the diagram. If yes, state the converse that proves the lines are parallel.
Answer/Step-by-step explanation:
1. YES.
Converse: If same side interior angles are supplementary, then l || m. (Same side interior angles)
Since the sum of the two same side interior angles, 65° and 115°, equals 180°, therefore, l || m.
2. YES.
Converse: if two angles angles are a linear pair, they are supplementary, therefore l || m. (Linear pair)
Thus,
128° + 53° = 180°.
3. YES.
Converse: if two angles are corresponding angles and congruent, therefore l || m. (Corresponding angles).
Thus,
The indicated angles which are equal to 90°, are corresponding angles therefore, l || m.
4. YES
Converse: if two alternate exterior angles are congruent, then l || m. (Alternate exterior angles)
Thus, the two exterior angles are congruent, therefore l || m.
The converse which would serve as prove that l is parallel to m are given in the answers below:
Considering the information in the given diagrams:
1. Yes, l is parallel to m.
The converse is: "If corresponding angles are equal, then l is parallel to m". One of the corresponding angles plus [tex]115^{o}[/tex] equals [tex]180^{o}[/tex].
Thus, l || m.
2. Yes, l is parallel to m.
The converse is: "if two angles are linear pair, then they sum up to [tex]180^{o}[/tex]".
So then, l || m.
3. Yes, l is parallel to m.
The converse is: "if two corresponding angles are right angles, then they are congruent".
Therefore, l || m.
4. Yes, l is parallel to m.
The converse is: :if two alternate exterior angles are congruent, then l is parallel to m".
Therefore, l || m.
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HURRY HELP
Tammy sold a diamond ring for $10,000. She placed the money into a CD with a 3.9% interest rate compounded
annually. What is the interest earned on the amount after 4 years?
a.)$1653.66
b.)$1984.87
c.)$1492.04
d.)$1119.99
=====================================================
Work Shown:
Use the compound interest formula
A = P*(1+r/n)^(n*t)
A = 10000(1+0.039/1)^(1*4)
A = 11,653.65589441
A = 11,653.66
That's the amount of money Tammy will have at the end of 4 years.
Subtract off the principal from this value to get the interest.
interest = A - P
interest = 11,653.66 - 10,000
interest = 1,653.66
The m<1=4x-30 and the m<5=2x+50. Find m<1 and m<7.
A. M<1=130 and M<7=130
B. M<1=130 and M<7=50
C. M<1=50 and M<7=50
D. M<1=50 and M<7=130
Answer:
D) m<1 = 50 m<7 = 130
Step-by-step explanation:
Lets set up the equation!
We know m<4 is 4x-30 and the m<5 is 2x + 50 due to alternate interior angles they are congruent so we can forge an equation, all we do is set them equal to each other!
4x-30 = 2x+50
Add 30 to both sides
4x = 2x +80
Subtract 2x from both sides.
2x = 80
Divide both sides by 2
x = 40
Now that we know x we can just plug it into the expression of m<4 to find m<1
4x-30
4(40)-30
80 - 30
50
m<4 = 50
Because m<1 and m<4 are vertical angles they are congruent!
m<1 = 50
We also know m<4 and m<5 are congruent so m<5 = 50 as well.
Because <7 is supplementary to <5 we know that the sum of both angles amount to 180.
x represents m<7
50 + x = 180
Now we solve by subtraction 50 from both sides
x = 130
m<7 = 130
Brainliest is appreciated!
20. If g(x) = x^3+9/3x evaluate g(-3)
Answer:
2
Step-by-step explanation:
-3^3+9/3*-3= 2 ypu have tu substitute the x by -3 always.
find the amount and the compound interest on rupees 10000 for 2 years at 5% per annum compounded annually
Answer:
11025
Step-by-step explanation:
100+5÷100=1.05 squared
10000x1.05squared=11025
Answer:
Amount = 11205
CI = 1205
Step-by-step explanation:
[tex]a = p(1 + \frac{r}{n} ) {}^{nt} [/tex]
Here,
p = 10000
r = 5% = 5/100 = 0.05
n = 1
t = 2
[tex]a = 10000(1 + \frac{0.05}{1} ) {}^{1 \times 2} [/tex]
[tex]a = 10000(1.05) {}^{2} [/tex]
[tex]a = 10000(1.1025)[/tex]
[tex]a = 11205[/tex]
C.I = a - p
C.I = 11205 - 10000
C.I = 1205
Alright, second part of Absolute Value Homework.. For part c i need a number line that looks like the one i have attached please. Help is MUCH appreciated!!!
Answer:
a. -0.01 < x - 8 < 0.01
b. 7.99 < x < 8.01
c. see attachment
d. Bolt has to be greater than 7.99 mm and less than 8.01 mm to be within the margin of error of 0.01 mm.
Step-by-step explanation:
-0.01 < x - 8 < 0.01
-0.01 < x - 8 and x - 8 < 0.01
7.99 < x x < 8.01
Write this as: 7.99 < x < 8.01
On graph the 7.99 and 8.01 are very near to each other and represented via open red circle.
Answer:
b. is 7.99 < x < 8.01
Step-by-step explanation:
Sorry, I don't know the other parts.
Find the slope of the line that passes through the points, A(0,2) and B(4, -1).
Answer:
Slope=M=y2-y1/X2-X1=
-1 -2 /4-0=
-3/4 =
-0.75
Step-by-step explanation:
Hope this helped!!!!
Answer:
y=(-3/4)+2
Step-by-step explanation:
Hello there! In order to solve this problem we will have to find the slope of the line and then use the point slope formula
Firstly, lets solve for the slope by finding the change in y over the change in x:
slope (m)= [tex]\frac{y2-y1}{x2-x1}[/tex]
We will plug in the values of the points given and find that:
slope (m)= [tex]\frac{-1-2}{4-0}[/tex]
this equals (-3/4)
from here we will use the point slope formula to find for the equation that the line passes through. You can use either point for this step, I will be using A(0,2).
Point-slope equation:
[tex]y-y1=m(x-x1)[/tex]
Plugging in values:
[tex]y-2=(\frac{-3}{4})(x-0)[/tex]
after isolating y we find that the equation is:
[tex]y=\frac{-3}{4} x+2[/tex]
Hope this helps!
-HM
what is the answer?
Answer:
Required Answer:-If [tex]\triangle[/tex] ABC is a isosceles triangle thenAB=BCNow Substitute values
[tex]\longrightarrow[/tex][tex]\sf 3x-4=5x-10[/tex]
[tex]\longrightarrow[/tex][tex]\sf 5x-10=3x-4 [/tex]
[tex]\longrightarrow[/tex][tex]\sf 5x-3x=-4+10 [/tex]
[tex]\longrightarrow[/tex][tex]\sf 2x=6 [/tex]
[tex]\longrightarrow[/tex][tex]\sf x={\dfrac {6}{2}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf x=3 [/tex]
[tex]\therefore[/tex][tex]\sf AB=3x-4=3\times 3-4=9-4 \\ \sf AB=5units [/tex]
Step-by-step explanation:
Side AB and Side BC are the same so we can make them equal to each other:
3x -4 = 5x -10
Subtract 3x from both sides.
-4 = 2x -10
Add 10 to both sides.
6 = 2x
Divide both sides by 2
3 = x
x = 3
Now substitute x in the expression
3x -4
3(3) -4
PEMDAS
9 - 4
Subtract
5
A 9 pound bag of brown rice cost 40. 32 what is the price per ounce
Answer:
price per ounce: $4.48
Step-by-step explanation:
divide 40.32 by 9
Answer:
0.28
Step-by-step explanation:
9 pound = 144 ounce
40.32 / 144 = 0.28
Can someone help me with this question thx
Answer:
D. 3
Step-by-step explanation:
3x−2y=−6
solve for y
-2y=-3x-6
y= 3/2x+3
y=mx+b
b= y intercept --> b = 3
Similar Triangles, find value of X
In order for two figures to be considered similar, which of the following MUST be true? (Check all that apply) There is more than one answer.
Corresponding sides are proportional
Corresponding sides are congruent
The shapes are exactly the same in side length and angle measure
Corresponding angles are congruent
Answer:
According to me all the options are correct
Gcf of 80x^3 and 30yx^2
a necklace contains 36 gram of gold 72% of the mass of necklace is gold what is the mass of the necklace
Answer:
50 grams
Step-by-step explanation:
36 grams = 72%
→ Find 1% by dividing both sides by 72
0.5 grams = 1%
→ Times both sides by 100 to find 100%
50 grams = 100%
Step-by-step explanation:
Multiply 32 by 72 to get thw mass.
are these all right?? PLS HELP IM SO DUMB AHAH.
Answ
yes
Step-by-step explanation:
Answer:??
Step-by-step explanation: How do I use this app??
thx u help now ok yeah
To find the equation of the parabola, first let's write the parent function,
y = a(x-h)^2+k. Ok, now we need to find the vertex and plug it in. Remember, (h,k). When we look at the problem the vertex is (0,4). Therefore we write it as y = a(x-0)^2 +4 or y = ax^2 + 4. Now we need to look to see if it was stretched or compressed. Keep in mind that on a normal parabola, if you move over 1 you go up one. If you move over 2 you go up four. If you move over 3, you go up 9. In this problem, you move over 1, you go up 1. If you move over 2, you go up 4. If you move over 3, you go up 9. From this information, we see that there is no stretch or compression. Therefore the equation of the graph shown is:
y= x^2 +4
-4/2/5 = -3/1/5 + 7/10g
Answer:
g=12/7
Step-by-step explanation:
1 point
A shirt is on sale for 40% off. The sale price is $12. How much was the
original price? *
20.00
16.80
19.20
8.00
Answer:
B
Step-by-step explanation:
0.4 x 16.8 or 40% off of 16.80 is 12
How to find
range
mode
median
mean
Answer:
- Mode-The most repetitive number! - Median:The number in the MIDDLE when they are IN ORDER! - Mean- The AVERAGE OF ALL NUMBERS: You add up all the numbers then you divide it by the TOTAL NUMBER of NUMBERS! - Range - THE BIGGEST minus the Smallest!
branliest
Step-by-step explanation:
Range: To find the range we have find the smallest and highest numbers in a list or set. To find the range put the number on order, and then subtract the lowest number from the highest number.
Mode: To find the mode of a data set, we have to look the number that occurs most frequently in the set, and to find the mode we have to count how many times each number occurs.
Median: To find the median, first order the numbers from smallest to largest. Then find the middle number.
Mean: To find the mean we have to add up all the numbers, Then divide by how many numbers there are.
HELP ASAP! Given f(x) = ax^2 + c, list each characteristic of the function.
What does a do?
What shifts the graph from going up to going down?
What does x^2 do?
What does c do?
What is the vertex?