Lucas has a jar of coins that contains only nickels and dimes. He has 30 coins itſ the jar worth a
total of $2.10. Which system of equations could be used to find the number of nickels, n, and
the number of dimes, d, that Lucas has in the jar?
А
n+d = 2.10
5n+100 = 30
B
n+d = 30
5n-10d =2.10
с
n-d = 30
0.05n+0.10d = 2.10
D
n-d=2.10
0.050+ 0.100 = 30
Answers
Answer:
Step-by-step explanation:
The correct system of equations which is the number of nickels and dimes that Lucas has in the jar is:
n + d = 30
0.05n + 0.10d = 2.10
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Lucas has a jar of coins that only contains nickels and dimes. He has 30 pennies in the jar, which is worth $2.10.
Let represents the number of nickels, n,
And the number of dimes, d, that Lucas has in the jar
The system of equations to find the number of nickels and dimes that Lucas has in the jar is:
n + d = 30
0.05n + 0.10d = 2.10
This system can be used to solve for the values of n and d. The first equation represents the total number of coins, and the second equation represents the total value of the coins in the jar.
Learn more about the equation here:
brainly.com/question/13947055
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Related Questions
In rectangle FGHJ , the diagonals intersect at point M, FM = 3.2x , and JG = 40.
What is the value of x?
Enter your answer as a decimal in the box.
Answers
Answer:
[tex]x=6.25[/tex]
Step-by-step explanation:
FM=3.2x
JG=40
Generally the diagonal of a rectangle are equal to each other and diagonal bisects each other
Therefore
[tex]2FM=JG[/tex]
[tex]2*(3.2x)=40[/tex]
[tex]x=40/6.4[/tex]
[tex]x=6.25[/tex]
Answer:
x=6.25
Step-by-step explanation:
David and his 2 children are going to the zoo.
The administration price is
Adult:£60
Children:£67
FAMILY DISCOUND CARD GIVES
1/5 off adults price
60% off child price
Work out the total price David pays after using his discount card.
Answers
Answer:
£92.40
Step-by-step explanation:
Discount price for David =1/5 of 60
= 1/5 × 60/1
= £12 (5 multiplied by 12 is 60)
Price for one child = £67
Price for 2 children= £67 × 2
= 134
Therefore discount price for the children,
134 × 60/100
= 134 × 6/10
= 134 × 3/5
= 26.8 × 3
= 80.4
= £80.40
Therefore total Price David pays,
£80.40 + £12
= £92.40
help? please
a perimeter of 100cm and
the largest possible area
Answers
Area = Length x Width
to find the perimeter , you have to add all 4 sides of the shape . if the perimeter is 100 therefore you can divide 100 by 4 and get 25 . If all sides are 25 cm , then the area would be 25 x 25
Let me know if this helps!
Write the equation of the directrix of the parabola shown below.
y2 + 16y+ 4x + 4 = 0
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Answer:
x = 16 is the answer
Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
I divide the amount of ice cream for the girls and the boys and the results came out as the girls ate more then the boys.
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Answer:
x < 21
Step-by-step explanation:
Square root 5 x square root 5 x square root 2 x square root 2
Answer left in surds
Answers
Answer:
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Step-by-step explanation:
[tex]\sqrt{5}[/tex] × [tex]\sqrt{5}[/tex] × [tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 5×2 = 10 or [tex]\sqrt{100}[/tex]
When the same square root multiply each other, they equal to the number in the square root. E.g. [tex]\sqrt{5}[/tex] × [tex]\sqrt{5}[/tex] = 5 because [tex]\sqrt{5}[/tex] × [tex]\sqrt{5}[/tex] also equals to [tex]\sqrt{25}[/tex], which is 5.
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Answer:
y=125x+500
Step-by-step explanation: plug the values into x and it's that equation
A floral design on a floor is made up of 16 tiles which are triangular,
the sides of the triangle being 9cm, 28cm and 35cm. Find the cost of
polishing the tiles at the rate of 50p per m^2?
Answers
Answer:
Answer
Area of tiles = 16 x area of 1 Δ
S=
2
a+b+c
=
2
9+28+35
=
2
72
=36
Area=
36(36−9)(36−28)(36−35)
36×27×8×1
36
6
cm
2
Area of tiles = 16 ×36
6
=1410.20.
Cost of polishing per cm
2
= 50.
Cost of polishing = 1410.90 cm
2
1410.90 x
2
1
705.45
Step-by-step explanation:
8, 20, 50, ...
Find the 10th term.
Answers
Answer:
[tex]a_{10}=\frac{5^{10}}{2^7} -1[/tex]
Step-by-step explanation:
[tex]a_{n}=a_1 . r^{n}-1[/tex]
Here
[tex]r=\frac{5}{2}[/tex]
[tex]a_1 =8[/tex]
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[tex]a_{10}=8(\frac{5}{2})^{10} -1[/tex]
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Answer:
C) y = 2/3x + 2
Step-by-step explanation:
first find the slope:
(0,2)
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(4-2)/(3-0)
2/3
y = 2/3x + b
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Lesson 3.3T - Calculating Slope from Graphs
Name
Period
Date
Sketch a line that has the given slope.
1. Positive Slope
2. Negative Slope
3. Zero Slope
4. Undefined Slope
Itt
Draw a slope triangle for each line (when possible) and give the slope. Remember to designate
if slope is positive or negative.
5.
6.
Remember
that slope is
rise over run.
SLOPE =
SLOPE =
8.
2
4-3
.
-2
SLOPE
SLOPE =
EdGems Core - Course 3
Copyright 2018 All Rights Reserved
Lesson 3.3 - Calculating Slope from Graphs
Answers
Answer:
1. draw a line from the bottom left quadrant to the top right quadrant
2. draw a line from the top left quadrant to the bottom right quadrant
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7. Connect the dots by going up for and right one. The slope will be 4.
8. You cannot connect the dots because it's a zero slope, so the slope is 0.
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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x=150
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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PLS HELP Anna buys bananas and apples. She buys 2 more apples than twice the number
of bananas. Altogether, Anna bought 14 fruits. How many apples did she buy?
(Hint use a bar model)
Your answer
Answers
Answer:
You have to put this in a bar model yourself so convert it later
She bought 10 apples
Step-by-step explanation:
3x + 2 = 14
why i did this
because she bought 2 times the amount of bananas, it should be x + 2x = 3x
then i added two because she bought two extra apples
so 3x+2 = 14
subtract 2
3x = 12
x = 4
So now we substitute x in apples
2x +2 = # of apples
8 +2 = 10
check
10 - 2 = 8
8/2 = 4
4 = # of bananas
Answer:
Anna bought 4 bananas and 10 apples.
Step-by-step explanation:
System of Equations
Let's call the following variables:
x = number of bananas Anna buys
y = number of apples Anna buys
She buys 2 more apples than twice the number of bananas, thus:
y = 2x + 2 [1]
Anna bought 14 fruits in total, thus:
x + y = 14 [2]
Substituting [1] in [2]:
x + 2x + 2 = 14
Simplifying:
3x = 12
Dividing by 3:
x = 4
Substituting in [1]:
y = 2*4+2 = 10
Anna bought 4 bananas and 10 apples.
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Answers
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Answer:
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Answers
Answer:
Taking my points
Step-by-step explanation:
You spammed my own question
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Enter your answer in the box.
Answers
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Write a situation to represent the equation
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Answers
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Slope of line between points (-4, 6) and (5, -3)
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= -1.
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Hence y = x - 8.
Tim's pay increased by 5% to £880
a fortnight.
What was his pay before the
increase?
Answers
Answer:
£838.10Step-by-step explanation:
Let the previous salary be x
Increase = 5%
New salary = £880
x + 5% = 880x*1.05 = 880x = 880/1.05x = £838.10 (rounded)Answer:
£838.10Step-by-step explanation:
let x be past payaccording to the question
[tex]x \times \frac{105}{100} = 880[/tex]
[tex]x = 880 \times \frac{100}{105} [/tex]
[tex]x = 838.10[/tex]