The currency called the U.S dollar can be split into smaller forms or currency value of itself. Examples of these smaller forms are: dimes, nickels, pennies, and quarters.
Tammy has 23 nickels and 12 quarters.
Let's represent the number of:
Nickels = n
Quarters = q
It is important to note that the value of:
1 nickel = $0.05
1 quarter = $0.25
Tammy has 35 coins nickels and quarters. This statement can be represented using an algebraic equation below:
n + q = 35
This can be rewritten as :
n = 35 - q
In all, she has $4.15. This statement can be represented using an algebraic equation below:
0.05n + 0.25q = 4.15
We substitute 35 - q for n in the above equation.
0.05(35 - q) + 0.25q = 4.15
1.75 - 0.05q + 0.25q = 4.15
Collect like terms
- 0.05q + 0.25q = 4.15 - 1.75
0.2q = 2.4
Divide both sides by 0.2
0.2q/0.2 = 2.4/0.2
q = 12
Therefore, the number of quarters Tammy has is 12.
Solving for the number of nickels, we have the equation:
n = 35 - q
n = 35 - 12
n = 23
Therefore, the number of nickels Tammy has is 23.
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Solve and graph the solution to the inequality -2(2x-3)<-26
Answer:
[tex]x > 8[/tex]
Step-by-step explanation:
1. Simplify the expression
Expand the parentheses:
[tex]-2*2x-2*-3<-26[/tex]
Simplify the arithmetic:
[tex]-4x+6<-26[/tex]
2. Group all constants on the right side of the inequality
Subtract 6 from both sides:
[tex]-4x+6-6<-26-6[/tex]
Simplify the arithmetic:
[tex]-4x<-26-6[/tex]
Simplify the arithmetic:
[tex]-4x<-32[/tex]
3. Isolate the x
Divide both sides by-4:
When dividing or multiplying by a negative number, always flip the inequality sign:
[tex]\frac{-4x}{-4} >\frac{-32}{-4}[/tex]
Cancel out the negatives:
[tex]\frac{4x}{4} >\frac{-32}{-4}[/tex]
Simplify the fraction:
[tex]x>\frac{-32}{-4}[/tex]
Cancel out the negatives:
[tex]x>\frac{32}{4}[/tex]
Find the greatest common factor of the numerator and denominator:
[tex]x>\frac{8*4}{1*4}[/tex]
Factor out and cancel the greatest common factor:
[tex]x>8[/tex]
4. Solution on a coordinate plane
Solution:
[tex]x>8[/tex]
Interval notation:
[tex](8, { \infty} )[/tex]
verify it as fast as you can
Answer:
(a+6)²
by identity (a+b)²=a²+2ab+b²
(a+6)²= a²+ 2×a×6 + 6²
= a²+ 12a + 36
(2a)²+5a = 4a²+5a
find the GCF using factor trees 10, 54 show your work
2x+34=6-5x pls help show work I’ll mark as brainliest!!
Answer:
x = -4
Step-by-step explanation:
2x + 34 = 6 - 5x
Subtract 34 from both sides.
2x = -28 - 5x
Add 5x to both sides.
7x = -28
Divide both sides by 7.
x = -4
Proof:
2x + 34 = 6 - 5x
Substitute variable.
2(-4) + 34 = 6 - 5(-4)
Multiply.
-8 + 34 = 6 + 20
Add.
26 = 26
Answer:
x = -4
Step-by-step explanation:
2x+34=6-5x
+5x +34 = 6+5x
------------------------
7x +34 = 6
7x -34 = -34
-----------------
7x = -28
--- ------
7 7
x = -4
Doy corona si me ayudan solo diganme la respuesta y yo lo hare :)
13 25 37 arthmetic progression
Answer:
Progression in increments of value 12
Step-by-step explanation:
13 25 37 49 61 73 85 97 .....
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Miss Hawaii
Mrs. Perciballi went to the LOFT for a sale and spent $40 on a dress and bought 3 shirts of equal value. Her purchases totaled $115. Define a variable, then write and solve an equation to find how much each shirt cost.
Answer:
Variable- an unknown number
Each shirt is 25$
Step-by-step explanation:
P (Price)
S (Shirt)
F) p=40+3s
S) 115=40+3s, 115-40=3s, 75=3s
E) s=25
If Zayed creates the greatest number of identical packages possible, how many pencils will be in each package?
Answer:
Step-by-step explanation:
What is 75 times 38 to the power of 2
What is this question I need help angle sum theorem
Answer:
25 degrees
Step-by-step explanation:
trust :)
Answer:
The answer would be 25 degrees
Step-by-step explanation:
Fill in 25
HELP PLEASE HELP HELP HELP HELP
Answer:
always first sum
Step-by-step explanation:
for example: 1+2/1-2=3
2+2/2-1=4
do question four plzzz
Answer:
B
Step-by-step explanation:
Dilations of a triangle are congruent to the original triangle. true or false
Answer true
Step-by-step explanation:
true
A jumping spider's movement is modeled by a parabola. The spider makes a single jump from the origin and reaches a maximum height of 10 mm halfway across a horizontal
distance of 80 mm.
Part A: Write the equation of the parabola in standard form that models the spider's jump. Show your work. (4 points)
Part B: Identify the focus, directrix, and axis of symmetry of the parabola. (6 points)
A parabola is a mirror-symmetrical U-shape.
The equation of the parabola is [tex]\mathbf{y = -\frac{1}{640}(x - 80)^2 + 10}[/tex]The focus is [tex]\mathbf{Focus = (80, -1760)}[/tex]The directrix is [tex]\mathbf{y = \frac{1}{640}}[/tex]The axis of the symmetry of parabola is: [tex]\mathbf{x = 80}[/tex]From the question, we have:
[tex]\mathbf{Vertex: (h,k) = (80,10)}[/tex]
[tex]\mathbf{Origin: (x,y) = (0,0)}[/tex]
The equation of a parabola is:
[tex]\mathbf{y = a(x - h)^2 + k}[/tex]
Substitute the values of origin and vertex in [tex]\mathbf{y = a(x - h)^2 + k}[/tex]
[tex]\mathbf{0 = a(0 - 80)^2 + 10}[/tex]
[tex]\mathbf{0 = a(- 80)^2 + 10}[/tex]
[tex]\mathbf{0 = 6400a + 10}[/tex]
Collect like terms
[tex]\mathbf{6400a =- 10}[/tex]
Solve for a
[tex]\mathbf{a =- \frac{1}{640}}[/tex]
Substitute the values of a and the vertex in [tex]\mathbf{y = a(x - h)^2 + k}[/tex]
[tex]\mathbf{y = -\frac{1}{640}(x - 80)^2 + 10}[/tex]
The focus of a parabola is:
[tex]\mathbf{Focus = (h, \frac{k+1}{4a})}[/tex]
Substitute the values of a and the vertex in [tex]\mathbf{Focus = (h, \frac{k+1}{4a})}[/tex]
[tex]\mathbf{Focus = (80, \frac{10+1}{4 \times -\frac{1}{640}})}[/tex]
[tex]\mathbf{Focus = (80, -\frac{11}{\frac{1}{160}})}[/tex]
[tex]\mathbf{Focus = (80, -11\times 160)}[/tex]
[tex]\mathbf{Focus = (80, -1760)}[/tex]
The equation of the directrix is:
[tex]\mathbf{y = -a}[/tex]
So, we have:
[tex]\mathbf{y = \frac{1}{640}}[/tex] ----- the directrix
The axis of symmetry is:
[tex]\mathbf{x = -\frac{b}{2a}}[/tex]
We have:
[tex]\mathbf{y = -\frac{1}{640}(x - 80)^2 + 10}[/tex]
Expand
[tex]\mathbf{y = -\frac{1}{640}(x^2 -160x + 6400) +10}[/tex]
Expand
[tex]\mathbf{y = -\frac{1}{640}x^2 +\frac{1}{4}x - 10 +10}[/tex]
[tex]\mathbf{y = -\frac{1}{640}x^2 +\frac{1}{4}x }[/tex]
A quadratic function is represented as:
[tex]\mathbf{y = ax^2 + bx + c}[/tex]
So, we have:
[tex]\mathbf{a = -\frac{1}{640}}[/tex]
[tex]\mathbf{b = \frac{1}{4}}[/tex]
Recall that:
[tex]\mathbf{x = -\frac{b}{2a}}[/tex]
So, we have:
[tex]\mathbf{x = -\frac{1/4}{2 \times -1/640}}[/tex]
[tex]\mathbf{x = \frac{1/4}{1/320}}[/tex]
This gives
[tex]\mathbf{x = \frac{320}{4}}[/tex]
[tex]\mathbf{x = 80}[/tex]
Hence, the axis of the symmetry of parabola is: [tex]\mathbf{x = 80}[/tex]
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Two sides of an equilateral triangle are labeled 12 inches and 3x - 6 inches. Find x.
Answer:
6
Step-by-step explanation:
In equilateral triangle, all the sides are congruent.
3x - 6 = 12
Add 6 to both sides
3x = 12 + 6
3x = 18
Divide both sides by 3
x = 18/3
x = 6
What is the value of z?
Dont leave a link hxhdbf
Answer:
27m^6 n^12
Step-by-step explanation:
Answer:
27m^6n^12
Step-by-step explanation:
3^3 = 27
m^2^3 = m^6
n^4^3 = n^12
Hence, it is
27m^6n^12 (the last option)
Hope this helps and be sure to have a wonderful time at Brainly! :D
A truck can cover 126km in 12 hours.Find the distance
covered by the truck in 8 hours.
Answer:
[tex] |v| = \frac{d}{t} \\ |v| = \frac{126km}{12hr} = 10.5km. {hr}^{ - 1} \\ d = |v| \times t\\ d = 10.5km. {hr}^{ - 1} \times 8hr \\ \boxed{d = 84km}[/tex]
the sum of a number and 11
Hello!
The sum of a number and 11:
Let's say that the number is x. So the expression "the sum of a number and x" looks like this:
x+11
Hope this helps you!
~Just an emotional teen who listens to her favourite songs
[tex]SilentNature[/tex]
Hey there!
Guide:
• The word “sum” means “add” or “addition”
• The word “difference” means “subtract” or “subtraction”
• The word “product” means “multiply” or “multiplication”
• The word “quotient” means “divide” or “division”
NOW THAT WE HAVE ALL OF THAT INFORMATION, WE CAN SOLVE FOR YOUR EQUATION
“The SUM of a number and 11”
Well since the “number” is unknown we can label it as “a” so we can know what we’re ADDing to 11…
So, your equation should be: a + 11
Answer: a + 11
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Can someone please tell me the answer
Answer:
36 since they are similer triangles
Longer process:
24/24 = 36/x
solve this and you get 36
Solve for x:
10 = x+25
Answer:
[tex]\boxed{\sf x=-15}[/tex]
Step-by-step explanation:
[tex]\sf 10=x+25[/tex]
[tex]\sf x+25=10[/tex]
[tex]\boxed{\mathrm{Subtract\:}25\mathrm{\:from\:both\:sides}}[/tex]
[tex]\sf x+25-25=10-25[/tex][tex]\sf x=-15[/tex]Answer:
x = -15
Step-by-step explanation:
NO LINKS IF YOU HAVE LINK DO NOT ANSWER PLEASE ANSWER NO LINKS Please no links will mark brainiest for complete and correct answer.
PLEASE SHOW ALL OF YOUR WORK
Solve for p
3(2p−1)−2(3p+4)=11p
Answer:
p = -1
Step-by-step explanation:
3(2p - 1) - 2*(3p+ 4) = 11p
Use distributive property: a(b +c) =a*b +a*c
3*2p -3*1 -2*3p + (-2)*4 = 11p
6p - 3 - 6p - 8 = 11p
6p - 6p - 3 - 8 = 11p
- 11 = 11 p
Divide both sides by 11
-11/11 = p
p = -1
1. There is 1 /2cupcake left from Henry's birthday party. Henry and his friend want to share it equally. What fraction of a cupcake will each boy get?
Answer:
1/4
Step-by-step explanation:
angle M and angle N are complementary. The measure of angle M is 38 degrees less than the measure of angle N Find the measure of each angle.
Answer:
M = 26 degrees, N = 64 degrees
Step-by-step explanation:
When 2 angles are complementary, it means they add up to 90 degrees. We can set up a system of equations to represent the situation.
M is measure of angle M
N is measure of angle N
M + N = 90 degrees
M = N - 38 (measure of angle M is 38 degrees less than measure of angle N)
We can then use the second equation to substitute in M in the first equation with N - 38
N - 38 + N = 90
2N - 38 = 90
2N = 128
N = 64 degrees
We plug this value back into the first equation to find M
M + 64 = 90
M = 26 degrees
The measure of ∠M and ∠N are 26° and 64° respectively.
What is a supplementary angle ?Supplementary angles sum to 180°.If two angles are supplementary their sum is 180° and sum of two complementary angles is 90°.
According to the given question angle M and angle N are complementary.
∴ Sum of these two angles ∠M + ∠N = 90°.
Assuming measure of ∠N to be x°,So the measure of ∠M is (x-38)°.
Therefore, x + (x-38) = 90°.
2x = 90° + 38°
2x = 128°.
x = 64°.
∴ The measure of ∠M is (64 - 38 )° = 26°.
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From the graph, write the linear equation in slope-intercept form
Answer:
y= [tex]\frac{2}{5}[/tex](x)+2
Step-by-step explanation:
First take two points from the line (x-int (-5,0) and y-int (0,2)). Once you get that you want to find the slope using the formula [tex]\frac{Y_{2} -Y_{1} }{X_{2}- x_{1} }[/tex]. Substitute the values and find the slope. Once you find the slope (m) to be [tex]\frac{2}{5}[/tex], take any of the two points and apply it to the slope intercept formula (y=mx+b) to find b. I took the point (0,2) and applied it to the formula. It should look like 2= [tex]\frac{2}{5}[/tex](0)+b. Solve for b by multiplying 2/5 by zero and your left with 2=b. Plugin the missing varibles for the equation and it should come out to be y= [tex]\frac{2}{5}[/tex](x)+2.
is 513 a composite number?
Answer:
yes, since 513 has more than two factors
have a spook-tastic day
Step-by-step explanation:
nnnnnnnbbbbbbbbbbbvvvgbhjnn,,
Answer:
Hey!
Step-by-step explanation:
nnnnnnnbbbbbbbbbbbvvvgbhjnn,,
help is very much needed
Answer:
IT'S NEGATIVE 3. HOPE THIS HELPS...
find the distance from the origin to
the point (7,4).
Answer:
8912
Step-by-step explanation:
don't use awnser plz
Mr. Fullerton sold half of his “Captain Underpants” comic books and then bought sixteen more. He now has 36 “Captain Underpants” all together. How many comic books did he begin with?
Answer:
40 comic books
Step-by-step explanation:
36-16=20
20×2=40