Answer:
16 5c coins
34 10c coins
Step-by-step explanation:
(I prefer to use whole numbers)
5x + 10y = 420
x+y=50
multiply the bottom problem by -5
5x +10y =420
-5x -5y = -250
combine the problems
5y = 170
divide by 5
y = 34
that means x = 16
34 10c coins
16 5c coins
-- Gage Millar, Algebra 1/2 tutor
The number of 5 cent coins are 16 and the number of 10 cent coins are 34.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Given that, a trader has a mixture of 5 c and 10 c coins.
Let the the number of 5 c coins be x and the number of 10 c coins be y.
He has 50 coins in all, with a total value of $4.20.
So, x+y=50 ---------(I)
5x+10y=420 ---------(II)
Multiply equation (I) by 5, we get
5x+5y=250 ---------(III)
Subtract equation (III) from (II), that is
5x+10y-(5x+5y)=420-250
⇒ 5y=170
⇒ y=34
Substitute y=34 in equation (I), we get
x=16
Therefore, the number of 5 cent coins are 16 and the number of 10 cent coins are 34.
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5 razor blades cost 35p find the cost of 15 razor blades
Answer:
The cost would be 105p
Step-by-step explanation:
If 5 razor blades equals 35 p 5x3=15 so 35x3=105
Answer:
the ansawer would be 105
Step-by-step explanation:
You could figure this out by either multiplying 35 by 3 since 35 is 5 blades, and 5 multiplied by 3 is 15, you can also multiply 35 by 3.
You can also use ratios to figure it out. You'd have to set it up like this; 5 to 35 then you'd have to divide both 5 and 35 by 5. You'd get 1 to 7. Then, finally multiply the ratio by 15, getting 15 to 105.
If
x
=
5
and
y
=
7
, evaluate the following expression:
100
−
3
(
3
y
−
4
x
)
Answer:
97
Step-by-step explanation:
100-3(3y-4x)
97(3×7-4×5)
97(21-20)
97(1)
=97
Sandra and Peter together weigh 275 pounds. Sandra and
Martin together weigh 245 pounds. All three together
weigh 410 pounds. What is Sandra's weight alone?
Answer:
110 pounds
Step-by-step explanation:
Let the weight of Sandra, Peter and Martin be S, P and M pounds respectively.
S +P= 275 -----(1)
S +M= 245 -----(2)
S +P +M= 410 -----(3)
(3) -(1):
S +P +M -(S +P)= 410 -275
S +P +M -S -P= 135
M= 135
Substitute M= 135 into (2):
S +135= 245
S= 245 -135
S= 110
Thus, Sarah weighs 110 pounds.
Ravi Makes lemonade by mixing lemon juice and water for every 1 cup of lemon juice he uses 4 cups of water.
Answer:1/4
Step-by-step explanation:
"find 48 divided by 2 using the distributive property"
Step-by-step explanation:
48 ÷ 2 = ...
= (12 ÷ 2) + (12 ÷ 2) + (12 ÷ 2) + (12 ÷ 2)
= 6 + 6 + 6 + 6
= 12 + 12
= 24
What is -5/6 – (-5/6)?
Answer:
0
Step-by-step explanation:
-5/6 - (-5/6)
Negative times a negative is a possitive
-5/6 + 5/6
0
Hopes this answers your question. :)
Answer: 0
Step-by-step explanation:
-5/6 - -5/6 =
-5/6 + 5/6 =
-5 + 5
6
= 0/6
=0
If f(1)=3f(1)=3 and f(n)=f(n-1)^2-3f(n)=f(n−1) 2 −3 whatsthe value of f(4)f(4)
Answer:
Step-by-step explanation:
So you can do that for me and you have a lot to say I don’t want you have a lot
Which describes the slope of the line that passes through the points (2, 5) and (– 4, 5)?
Answer:
m is the slope of line and x1, y1= 2,5 , and x2, y2= -4, 5
m = 5-2/-4-5 = -1/3
Step-by-step explanation:
what do you guys think the answer is?
Explanation:
Because point A is the center of dilation, it will stay fixed. It never moves. Everything else around it will move. Specifically, every point but A will move inward closer to A.
To get from A to B, we move 9 spaces. The scale factor 1/2 means we'll move half that amount and 9/2 = 4.5 spaces will be between A' and B'. Relabel A' as point E, and change the name of B' to F.
To go from A to D, we do the following steps
move to the right 9 spacesmove up 6 spacesCut each of those values in half to get 9/2 = 4.5 and 6/2 = 3. The results 4.5 and 3 are the horizontal and vertical distances we must travel when going from A' to D'. We'll relabel point D' as point H.
To go from D to C, we move 3 spaces. This cuts in half (again because of the scale factor) to get 3/2 = 1.5 spaces which is the distance from D' to C', aka from H to G.
Everything is marked in the diagram below.
PLEASE HELP
Which of the equations below contains the two points listed? (5,9) (6,9) A x=-9 B x=9 C y=-9 D y=9
Answer: y=9
Step-by-step explanation:
both points have 9 as the y coordinate
PLS HELP ME QUICKLY THANK U :) :()
Answer:
x = 1/2 or x = 2/3
Step-by-step explanation:
6x^2 = 7x - 2
=> 6x^2 - 7x + 2 = 0
=> 6x^2 - 3x - 4x + 2 = 0
=> 3x (2x - 1) -2 (2x - 1) = 0
=> (2x - 1) (3x - 2) = 0
2x - 1 = 0
=> 2x = 1
=> x = 1/2
or
3x - 2 = 0
=> 3x = 2
=> x = 2/3
Hopefully this helps!!
Answer:
x = [tex]\frac{2}{3}[/tex] , x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
6x² = 7x - 2 ( subtract 7x - 2 from both sides )
6x² - 7x + 2 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 6 × 2 = 12 and sum = - 7
The factors are - 3 and - 4
Use these factors to split the x- term
6x² - 3x - 4x + 2 = 0 ( factor the first/second and third/fourth terms )
3x(2x - 1) - 2(2x - 1) = 0 ← factor out (2x - 1) from each term
(2x - 1)(3x - 2) = 0
Equate each factor to zero and solve for x
3x - 2 = 0 ⇒ 3x = 2 ⇒ x = [tex]\frac{2}{3}[/tex]
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]
Tayla purchased a large box of comic books for $300. She gave 15 of the comic books to her brother and then sold the rest on an Internet website for $330, making a profit of $1.50 on each one. How many comic books were in the box
Answer:
Number of comic books is 75.
Original price of each comic book is 4$.
Step-by-step explanation:
There were 75 comics in the box originally.
What is an equation?An equation is the statement of equality between two expressions consisting of variables and/or numbers.
Given that, Tayla purchased a large box of comic books for $300. She gave 15 of the comic books to her brother and then sold the rest on an internet website for $330, making a profit of $1.50 on each one.
Let x be the number of comics originally
(x - 15) is the number of comics sold.
Original price of each comic = 300/x
Price of comics which she gave to brother = 15*300/x
Original price of all the books that has been sold = 300 - 15*300/x
Tayla's profit = 330 - (300 - 15*300/x) = 30 + 15*300/x
Number of comics sold = (30 + 15*300/x)/1.5
Equation will be,
(30 + 15*300/x)/1.5 = x - 15
20 + 3000/x = x - 15
(x² - 15x - 3000)/x = 20
x² - 35x - 3000 = 0
On factorizing the quadratic equation, we get,
x = 75 or -40 (Neglecting -40, because number of books can't be negative)
Hence, there were 75 comic books in the box originally.
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Mom bought a bag of 12 apples. She discovered that 1/6 of the apples were spoiled. How many apples were spoiled? How many unspoiled apples does Mom have?
what is the value of x+3x+11X
Step-1 : Multiply the coefficient of the first term by the constant 3 • -20 = -60
Step-2 : Find two factors of -60 whose sum equals the coefficient of the middle term, which is -11 .
-60 + 1 = -59
-30 + 2 = -28
-20 + 3 = -17
-15 + 4 = -11
That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -15 and 4
3x2 - 15x + 4x - 20
Step-4 : Add up the first 2 terms, pulling out like factors :
3x • (x-5)
Add up the last 2 terms, pulling out common factors :
4 • (x-5)
Step-5 : Add up the four terms of step 4 :
(3x+4) • (x-5)
Which is the desired factorization
Help plzzz I am not good at this!!!
Answer:
-5 (5 red chips)10 (10 yellow chips)-8 (8 red chips)Step-by-step explanation:
To complete the 1st model you have to put 5 red chips
To complete the 2nd model you have to put 10 yellow chips
To complete the 3rd model you have to put 8 red chips
But to understand why we are putting a certain number of yellow or red chips
we have to understand the zero pairs method meaning one positive and one negative zero out each other
What is the equation of a line (in standard form) that passes through point A(1,-4) and has a slope of 3/4?
Answer:
3x-4y=19
Step-by-step explanation:
Hi there!
We want to write the equation of the line in standard form that passes through the point (1, -4) and has the slope of 3/4
Standard form is written as ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be 0, and a cannot be negative
First, in order to find ax+by=c, we'll need to get slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
Since we already know the slope (3/4), we can substitute it into the formula for y=mx+b.
y=3/4x+b
Now we need to solve for b
Since the equation passes through the point (1, -4), we can use it to solve for b
Substitute 1 as x and -4 as y.
-4=3/4(1)+b
Multiply
-4=3/4+b
Subtract 3/4 from both sides
-19/4=b
Now substitute -19/4 as b into the equation
y=3/4x-19/4
Now we have the equation in slope-intercept form, but remember, we want it in standard form
Since x and y are on the same side in standard form, subtract 3/4x from both sides
-3/4x+y=-19/4
Remember that a cannot be negative, and the coefficients are integers (they cannot be fractions)
So in order to clear the fractions and change the sign of the equation, multiply both sides by -4
-4(-3/4x+y)=-4(-19/4)
Multiply
3x-4y=19
Hope this helps!
Which two ratios make a proportion. a) 9÷12 and 15÷20 b) 4/25 and 17/101
PLZ ANSWER QUICK will mark branilyist.
Answer:
I think the answer would be b
Determine which postulate can be used to prove the triangles are congruent then identify the valid congruency statement (SELECT TWO ANSWERS)
Options:
A) AAS
B)ASA
C) HL
D) CDE ≅ FDE
E) DEC ≅ EDF
F) ECD ≅ DFE
Answer:
A) AAS
D) CDE ≅ FDE
Step-by-step explanation:
∠C ≅ ∠F Given
∠DEC ≅ ∠EDF Given
DE ≅ DE Reflexive property
ΔCDE ≅ ΔFDE AAs congruent
Answer:
THERE IS NO QUESTION
Step-by-step explanation:
Jenna wants to deposit £1300 in a bank for 1 year.The Independent bank will pay her £2 per month.The Jubilee Bank will pay her interest at 3% per annum.Which Bank should Jenna choose? What do I do help
1. Write the following statements in the from of equations.
a. if you subtract 6 from 3 times a number, you get 18.
Answer:
Hey mate.....
Step-by-step explanation:
This is ur answer....
3x - 6 = 18Hope it helps!
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In Dominic’s classroom, there are 5 rows of desks. There are 5 desks in each row. In all, 5 classrooms in his school have the desks set up the same way. Write an expression with an exponent that shows the total number of desks in these 5 classrooms.
Use words, numbers, and/or pictures to show your work. Write your answer on the paper provided.
Answer:
5^(3) is the exponent form which equals 125desks
Step-by-step explanation:
A row has 5 desks
A classroom has 5 rows of desks= 5*5 desks
The school has 5 classrooms
=5*5+5*5+5*5+5*5+5*5 desks
=5^(2)+5^(2)+5^(2)+5^(2)+5^(2)
=5[5^(2)]
=5^(3) = 125 desks
Step 4: Plot the y-intercept.
hello,can someone help me with these 2 i dont really get them
Answer:
7. The area should be 32. Multiply 5 by 4 to get 20. Find the missing length to multiply by 3, which is 4, and multiply. 3 * 4 = 12. Add 20 + 12 and get 32 cm.
8. The area should be 70. You did pretty well, but when finding the area of a triangle, divide the product by 2, or multiply by 0.5. 5 * 8 = 40/2 or 40 * 0.5 which both equal 20. 50, plus the area of the triangle, 20, will get you 70.
The volume of a TV box needs to be 30.000 cubic centimeters. If the length is 10 less than four times the height and the width is less than the height, what is the required height of the box? PLS HELP I was hold h=40cm BUT HOWW?
Answer:
Since you do not explicitly give any formal restrictions on whether or not the dimensions must be integers, nor any relation with the width dimension. I found a solution with height equally to 20.768cm × width (19.768cm) × length (73.072 cm) Multiplying this together, we get 30,000 cubic cm
Does this table represent a function or not? Why or why not?
Answer:
D. No, because two of the y-values are the same
Step-by-step explanation:
The y values cannot be the same
Answer:C
Step-by-step explanation:
peter and pam are both avid swimmers
Answer: that they are
Step-by-step explanation:
Write the equation of the line in fully simplified slope-intercept form
Answer:
y = - x + 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (6, 0) ← 2 points on the line
m = [tex]\frac{0-6}{6-0}[/tex] = [tex]\frac{-6}{6}[/tex] = - 1
The line crosses the y- axis at (0, 6 ) ⇒ c = 6
y = - x + 6 ← equation of line
r^2 - 8r - 22 = 6 solve for r
Answer:
-34
Step-by-step explanation:
r^2 - 8r - 22 ( R = 6)
6^2 =36 (8r = 8*6=48)
36 - 48 = -12
-12 - 22 = -34
What is the solution (pls help ASAP )
Answer:
c the factor of the inequality is correct - took this test already
Step-by-step explanation: