Answer:
She has 12 quarters.
Step-by-step explanation:
You have two unknowns, the number of quarters and the number of dimes. You need one equation per unknown, so you need two equations. One equation deals with the number of coins. The other equation deals with the values of the coins.
The first step is to choose variables. We can go with x and y, but I prefer to choose q and d, so I remember more easily what they represent.
Let q = number of quarters.
Let d = number of dimes.
Let's deal with the numbers of coins first.
"Georgina has 14 more dimes than quarters"
She has q number of quarters, but the number of dimes is 14 more than the number of quarters. d is 14 more than q. Our first equation is
d = q + 14
Now we deal with the values of the coins.
We don't know yet the actual numbers of dimes and quarters, so we use d and q to represent those numbers.
One dime is worth $0.10; d number of dimes is worth 0.1d.
A quarter is worth $0.25; q number of quarters is worth 0.25q.
The total value of the dimes and quarters is the sum of the values of the two sets of coins:
0.1d + 0.25q
We are told "Georgina has $5.60 in quarters and dimes."
This gives us our second equation.
0.1d + 0.25q = 5.6
Now we have a set of two equations in two variables:
d = q + 14
0.1d + 0.25q = 5.6
There are several methods for solving a system of equations. Since the first equation is already solved for a variable, d, we can use the substitution method.
We rewrite the second equation, but we substitute q + 14 for d in the second equation.
Second equation:
0.1d + 0.25q = 5.6
Substitute q + 14 for d:
0.1(q + 14) + 0.25q = 5.6
Distribute on the left side:
0.1q + 1.4 + 0.25q = 5.6
Combine like terms on the left side:
0.35q + 1.4 = 5.6
Subtract 1.4 from both sides:
0.35q = 4.2
Divide both sides by 0.35:
q = 12
There are 12 quarters.
(You are asked only the number of quarters, so you can stop here. I will continue to find also the number of dimes for 2 reasons. 1) You see how it's done, so it will help with other problems. 2) By finding the numbers of dimes and quarters, then we can check if our solution is correct, which I will do below at the end.)
Now we use the first equation, d = q + 14. We substitute 12 for q and solve for d.
d = q + 14
d = 12 + 14
d = 26
There are 26 dimes.
Check:
We check the numbers of coins:
26 - 12 = 14 The number of dimes is indeed 14 more than the number of quarters.
We check the values of the coins:
0.1(26) + 0.25(12) = 2.6 + 3 = 5.6 The value of the coins is indeed $5.60.
Our answer is correct.
Find the value:
please help
Answer:
the answer is 44
Step-by-step explanation:
4*2=8
48-(32:8)
48-(4)
44
I really hope it helps:))))))))))
Answer:
C. 32
Step-by-step explanation:
Order of Operations: Multiplication/Division (left to right) comes before Addition/Subtraction (left to right).
48 - 32/4 x 2 (Division)
48 - 8 x 2 (Multiplication)
48 - 16 (Subtraction)
32
ASAP!!!!!!!!! PLEASE help me with this question! This is really urgent! No nonsense answers please.
Answer:
196 degrees
Step-by-step explanation:
360-164=196 degrees
the arch CDF=2*82=164
so the arch CGF =360-164=196 degrees
This equation shows how the total number of necklaces Denise owns is related to the amount of money she spends on additional necklaces.
n = d + 74
The variable d represents the amount of money she spends on additional necklaces, and the variable n represents the total number of necklaces she owns. With $16 to spend on new necklaces, how many total necklaces can Denise own?
Answer:
16+74
Step-by-step explanation:
substitute 16 into the equation
Estimate 2371 x1.84 divide 36.92
Answer:
Step-by-step explanation:
2371 x1.84 = 4362
4362 ÷ 36.92 = 118
the answer would be 118.1646804 but since the lowest sig fig in the question is 3 (1.84), we would have to round the answer to 3 SIG figs.
Final answer: 118
Rachel's birthday party will cost $18 if she invites 6 guests. What is the unit rate?
Answer:
3
Step-by-step explanation:
Answer:
$3 per guest
Step-by-step explanation:
18/6
= 3
Line A has the equation: y = 2x + 5.
Determine the equation of line B when it is parallel to line A and passes through (0 , -4).
Answer:
y=2x-4
Step-by-step explanation:
The slope of the line is 2 and y intercept is - 4. The equation will be y=2x-4
heeeellllp...
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Answer:
didn't shade all of them
simplify (y+x) 2-2xy
Answer:
y² + x²
Step-by-step explanation:
Given
(y + x)² - 2xy ← expand (y + x)² using FOIL
= y² + 2xy + x² - 2xy ← collect like terms
= y² + x²
Ans2x + 2y -2xy
Step-by-step explanation:
First You need to distribute 2 to both x and y. 2x + 2y-2xy
You are setting out snacks for some friends to come over. You have 18 crackers and 12 slices of cheese. If you want each plate to be identical, with no food left over, what is the greatest number of plates you can prepare? How many crackers will be on each plate? How many slices of cheese will be on each plate?
The concept of greatest common factor is used to solve this question. Then, we use it to find the number of crackers and slices of cheese, and the answer is:
The greatest number of plates you can prepare is 6.Each plate will have 3 crackers.Each plate will have 2 slices of cheese.--------------------------------
To find the greatest number of plates, you need to find the greatest common factor between 12 and 18.
Thus, factoring them, always by the same number:
12 - 18|2
6 - 9|3
2 - 3
The greatest common factor is 2x3 = 6, which means that the greatest number of plates you can prepare is 6.
--------------------------------
18 crackers, so each plate has 18/6 = 3 crackers.
12 slices of cheese, so each plate has 12/6 = 2 slices of cheese.
A similar question is given at https://brainly.com/question/18454593
Scale the numerator and the denominator down by a factor of 3 (divide) to write a fraction equivalent to \frac{3}{12}
12
3
.
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Given
[tex]\frac{3}{12}[/tex] ← divide numerator and denominator by 3
= [tex]\frac{1}{4}[/tex]
Any help? Khan Academy question
Answer:
1.6<x<9.6
Step-by-step explanation:
Triangle says the sum of any 2 sides is bigger than the third.
Assume a,b,c are side measurements of a triangle.
So if you know two sides a and b then the third number, c, is such that |b-a|<c<a+b.
So just add the given numbers and find the positive difference.
5.6+4=9.6
5.6-4=1.6
need help will give 5 stars.
Answer:
t=0.64
Step-by-step explanation:
h = -16t^2 +4t +4
We want h =0 since it is hitting the ground
0 = -16t^2 +4t +4
Using the quadratic formula
a = -16 b = 4 c=4
-b ± sqrt( b^2 -4ac)
----------------------------
2a
-4 ± sqrt( 4^2 -4(-16)4)
----------------------------
2(-16)
-4 ± sqrt( 16+ 256)
----------------------------
-32
-4 ± sqrt( 272)
----------------------------
-32
-4 ± sqrt( 16*17)
----------------------------
-32
-4 ± sqrt( 16) sqrt(17)
----------------------------
-32
-4 ± 4 sqrt(17)
----------------------------
-32
Divide by -4
1 ± sqrt(17)
----------------------------
8
To the nearest hundredth
t=-0.39
t=0.64
Since time cannot be negative
t=0.64
Answer:
0.64
Step-by-step explanation:
0 = -16t^2 + 4t + 4
-4(4t^2 - t -1) = 0
t = [-(-1) +/- sqrt (1 - 4*4*-1)] / 8)
t = 0.64, -0.39
answer is 0.64
please help :) 1) Scientists develop knowledge by making blank about the natural world that may lead to a scientific question. 2) A scientific question may lead to a(n) blank , which can be tested. The results of blank can lead to changes in scientific knowledge.
Answer:
You just answered my question so you can ask yours, what a sped. Now i'm doing the same thing.
Step-by-step explanation:
ILL MARK BRAINIEST IF YOU DO THIS CORRECTLY!!!
Convert to slope-intercept from: y-4=9(x-7)
Answer:
y = 9x - 59
Step-by-step explanation:
y - 4= 9(x-7)
y - 4 = 9x - 63
y - 4 + 4 = 9x - 63 + 4
y = 9x - 59
Answer:
Below
Step-by-step explanation:
● y-4 = 9(x-7)
Multiply 9 by (x-7)
● y-4 = 9x - 63
Add 4 to both sides
● y-4+4 = 9x-63 +4
● y = 9x - 59
9) A trapezoid has an area of 60 cm? and its height is 6 cm and one base is 8 cm.
Answer:
Step-by-step explanation:
Iihgghh
1. Which expression is equivalent to (-2)(a + 6)?
Answer:
please mark my answer brainliest
Step-by-step explanation:
- 2a -12
Un ingeniero civil a cargo de una obra contrata una cierta cantidad de obreros. Estima que, si le
pagara S/ 1.400 a cada uno de los obreros, le faltarían S/ 8.000, pero si le pagara S/ 1.200 a cada
uno, le sobrarían S/ 2.000. El número de obreros que contrató es
Al plantear un sistema de ecuaciones lineales, encontramos que el número de obreros que contrató el ingeniero civil fue 50.
Para encontrar el número de obreros que el ingeniero contrató debemos plantear un sistema de ecuaciones lineales de dos ecuaciones con dos incógnitas, tal como sigue:
[tex] M - 1400*x = -8000 [/tex] (1)
[tex] M - 1200*x = 2000 [/tex] (2)
En donde:
M: es la incógnita igual al monto de dinero del ingeniero
x: es la incógnita igual al número de obreros
De la ecuación (1) tenemos:
[tex] M = 1400*x - 8000 [/tex] (3)
Podemos encontrar el valor de x (número de obreros), introduciendo la ecuación (3) en la ec (2):
[tex] 1400*x - 8000 - 1200*x = 2000 [/tex]
[tex] 200*x = 10000 [/tex]
[tex] x = 50 [/tex]
El monto de dinero inicial del ingeniero sería entonces (ec 3):
[tex] M = 1400*50 - 8000 = 62000 [/tex]
Por lo tanto, el número de obreros que contrató el ingeniero es 50.
Puedes aprender sobre otro método de resolución de sistemas de ecuaciones lineales ingresando acá: https://brainly.com/question/10831551?referrer=searchResults
Espero que te sea de utilidad!
Write the equation of the line that passes through the points (-3, -3) and (8,7). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
Step-by-step explanation:
First you want to find the slope
y2-y1/x2-x1
7-(-3)/8-(-3)
Two negatives equal a positive. so Rewrite
7+3/8+3
10/11
Slope=10/11
To find the equation of the line..
y-y1=10/11(x-x1)
y-(-3)=10/11(x-(-3)
Again double negative, so rewrite
y+3=10/11(x+3)
y+3=10/11x+30/11
Subtract three from both sides to isolate 'y'
y+3-3=10/11x+30/11-3
y=10/11x+30/11-3
y=10/11x-3/11
the probability that 2 randomly selected points from Q,R,S,T and W are noncollinear is
Answer:
2/5Step-by-step explanation:
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome/Total outcome
Since we are to find the probability that 2 randomly selected points from Q,R,S,T and W are non-collinear
Non collinear points are points that doesn't lie on the same straight line. From the diagram given, the two point that are non colliear are (QR, QS, QT and QW making 4 2random non collinear points. Hence out expected number of outcome is 4.
For the total possible outcome, we are to find the number of ways we can randomly select two points from the 5 points given and this can be done using the combination rule.
This can therefore be done in 5C2 number of ways.
5C2 = 5!/(5-2)!2!
5C2 = 5!/3!2!
5C2 = 5*4*3*2*1/3*2*2
5C2 = 5*2
5C2 = 10 different ways
Hence the total possible outcome is 10
Therefore, the probability that 2 randomly selected points from Q,R,S,T and W are noncollinear will be 4/10 = 2/5
Write f(x)=5 -(x – 4)2 in the form f(x)= ax+bx+c.
Answer:
[tex]f(x) = 5 - (x - 4)^2[/tex].
Step-by-step explanation:
[tex]f(x) = 5 - (x - 4)^2[/tex]
[tex]f(x) = 5 - (x-4)*(x-4)[/tex]
[tex]f(x) = 5 - (x^2 - 4x - 4x + 16)[/tex]
[tex]f(x) = 5 - (x^2 - 8x + 16)[/tex]
[tex]f(x) = 5 - x^2 + 8x - 16[/tex]
[tex]f(x) = -x^2 + 8x - 11[/tex].
Hope this helps!
Isabelle bought some stationery. 1/3 of them were pencils. 5/8 of the remainder were erasers and the rest were ruler.The cost of the stationery is ,Pencil: $1.20 ,Eraser :$1 ,Ruler: $0.50 She spent a total of $169.50 on all the stationery. How much more did she spend on erasers than rulers.
Answer:
She spend[tex]\frac{7}{24}[/tex] more on erasers than rulers.
Step-by-step explanation:
We are given that Isabelle bought some stationery.
Fraction of pencil = [tex]\frac{1}{3}[/tex]
Remaining stationary =[tex]1-\frac{1}{3}=\frac{2}{3}[/tex]
5/8 of the remainder were erasers
So, part of eraser in stationary=[tex]\frac{5}{8} \times \frac{2}{3}=\frac{5}{12}[/tex]
Remaining stationary(rulers)=[tex]\frac{2}{3}-\frac{5}{12}=\frac{1}{4}[/tex]
Cost of ruler = $0.50
Cost of [tex]\frac{1}{4}[/tex]rulers =[tex]0.50 \times \frac{1}{4}=\frac{1}{8}[/tex]
Cost of eraser=$1
Cost of [tex]\frac{5}{12}[/tex] eraser=[tex]\frac{5}{12}[/tex]
Difference in cost of eraser and rulers =[tex]\frac{5}{12}-\frac{1}{8}=\frac{7}{24}[/tex]
Hence She spend[tex]\frac{7}{24}[/tex] more on erasers than rulers.
What is the coefficient of x6 y4 in the expansion of (x + y)10?
Answer:
It is C.
Step-by-step explanation:
Too lazy to explain.
help w #5 !! will mark brainlist
The sum that represents the number of tickets sold if 35 tickets were sold Monday, half of the remaining tickets were sold on Tuesday and 14 tickets were sold on Wednesday.
To start solving this, we can assign t as the variable to the total number of tickets that were sold. So, t = 35 (for Monday) + (t - 35)/2 (for Tuesday) + 14 (for Wednesday). To solve this, we can say t = 49 + (t - 35)/2, or 2t = 98 + t - 35, which equals t = 63. Therefore, 63 tickets were sold total.
The table below shows the results from a study that compared speed (in miles per hour) and average fuel economy (in miler per gallon) for cars. Find a quadratic model for the data.
0.008
y=13.472x
2
+0.746x−0.008
y
=
25.836
x
+
0.049
y=25.836x+0.049
y
=
−
.
008
x
2
+
0.746
x
+
13.472
y=−.008x
2
+0.746x+13.472
y
=
0.049
x
+
25.836
y=0.049x+25.836
Note that the quadratic model for the data is y = -0.008x² + 0.75x + 13.47.
How is this so ?
Here are the steps on how to find a quadratic model for the data.
Make a scatter plot of the data. The points should form an inverted U-shape. This suggests a quadratic model.Use the quadratic regression feature on your graphing calculator to find an equation of the model.Here is the output of the quadratic regression feature on my graphing calculator
y = -0.008x² + 0.75x + 13.47.
where -
x is the speed in miles per hour
y is the fuel economy in miles per gallon.
Learn more about Quadratic equation at:
https://brainly.com/question/1214333
#SPJ1
Assume all variables represent non negative numbers . Help please!!
Answer:
A). [tex]2p^{8}[/tex]
B). [tex]3m^{7}[/tex]
Step-by-step explanation:
A). [tex]\sqrt{4p^{16}}[/tex]
To get the square root of the given expression we will convert it into the square form.
[tex]4p^{16}=(2)^2(p^{8})^2[/tex] [Since 2×2 = 4 and [tex]p^{8}\times p^{8}=p^{16}[/tex]]
Therefore, [tex]\sqrt{4p^{16}}=\sqrt{2^{2}\times (p^{8})^2 }[/tex]
[tex]=2p^{8}[/tex]
B). [tex]\sqrt{9m^{44}}[/tex]
Since, [tex]9m^{14}=(3)^2\times (m^7)^2[/tex]
Therefore, [tex]\sqrt{9m^{44}}=\sqrt{(3)^2\times (m^7)^2}[/tex] [Since 3² = 9 and (m⁷)² = m¹⁴]
[tex]=3m^{7}[/tex]
Which of the following expressions represents the distance between -3.9, and -4.7?
Answer:
[tex]d = \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} }[/tex]
Step-by-step explanation:
[tex]d = \sqrt{( - 4 + 3) {}^{2} + (7 - 9) {}^{2} } [/tex]
[tex]d = \sqrt{(1 + 4)} = \sqrt{5} [/tex]
can someone please help me I need the answer urgently please
Answer:
Step-by-step explanation:
AB ≅ BC. So, ΔABC is an isosceles triangle
Opposite angles of equal sides are equal.
∠BAC = ∠BCA = x°
In ΔABC,
∠ABC + ∠BAC + ∠BCA = 180 {Angle sum property of triangle}
56 + x + x = 180
56 + 2x = 180
2x = 180 - 56
2x = 124
x = 124/2
x = 62°
∠BAC = ∠BCA = 62°
∠DCF = ∠BCA {Vertically opposite angles}
∠DCF = 62°
CDEF is a parallelogram.
In parallelogram, opposite angles are congruent.
∠DEF = ∠DCF
∠DEF = 62°
In a parallelogram, sum of adjacent angles = 180
∠DEF + ∠CDE = 180
62 + ∠CDE = 180
∠CDE = 180 - 62
∠CDE = 118°
∠CFE = ∠CDE {In parallelogram, opposite angles are congruent}
∠CFE = 118°
HELP ASAP
[tex]Given that $33^{-1} \equiv 77 \pmod{508}$, find $11^{-1} \pmod{508}$ as a residue modulo 508. (Give an answer between 0 and 507, inclusive.)[/tex]
===================================================
Work Shown:
[tex]33^{-1} \equiv 77 \text{ (mod 508)}\\\\(3*11)^{-1} \equiv 77 \text{ (mod 508)}\\\\3^{-1}*11^{-1} \equiv 77 \text{ (mod 508)}\\\\3*3^{-1}*11^{-1} \equiv 3*77 \text{ (mod 508)}\\\\11^{-1} \equiv 231 \text{ (mod 508)}\\\\[/tex]
Notice how 33*77 = 2541 and 11*231 = 2541
[tex]2541 \equiv 1 \text{ (mod 508)}[/tex] since 2541/508 has a remainder of 1.
So effectively [tex]33*77 \equiv 1 \text{ (mod 508)}[/tex] and [tex]11*231 \equiv 1 \text{ (mod 508)}[/tex]
Help me slove and direction pls ty :)
Answer:
see explanation
Step-by-step explanation:
Solving
4x + 8 = 20 ( subtract 8 from both sides )
4x = 12 ( divide both sides by 4 )
x = 3
Each pack contains 3 paintbrushes
Answer:
x=3
Step-by-step explanation:
since the equation to use has already been given,you just have to group the like terms and solve for x
4x+8=20
4x=20-8
4x=12
then divide both sides by 4 in order to remain with x on one side
4x/4=12/4
x=3
each pack contains 3 paint brushes.
I hope this helps