Katie has a collection of nickels, dimes and quarters with a total value of $3.95. There are 4 more dimes than nickels and 3 more quarters than nickels, how many of each coin does she have?
Answer:
She has 7 nickels, 11 dimes and 10 quarters
Step-by-step explanation:
Total value =$3.95
Let
Nickel = x
Dimes = x + 4
Quarters = x + 3
Every
Nickel = 5 cents
Dimes = 10 cents
Quarters = 25 cents
Total cents = $3.95 × 100
= $395
5n + 10d + 25q = 395
5(x) + 10(x+4) + 25(x+3) = 395
5x + 10x + 40 + 25x + 75 = 395
40x + 115 = 395
40x = 395 - 115
40x = 280
Divide both sides by 40
x= 280/40
= 7
x= 7
Nickel = x = 7
Dimes = x + 4
=7+4
=11
Quarters = x + 3
=7+3
=10
What set of reflections would carry triangle ABC onto itself?
Solve the equation 3/4=m+1/4
Answer:
1/2 = m
Step-by-step explanation:
3/4=m+1/4
Subtract 1/4 from each side
3/4 - 1/4=m+1/4-1/4
2/4 = m
Simplify
1/2 = m
Answer:
m=
2
1
=0.500
Step-by-step explanation:
A laundry detergent recommends 1/4 cup of detergent for a 1/2 load of clothes. How much detergent is recommended for 4 loads of clothes?
Answer:
2 cups
Step-by-step explanation:
Because you have 4 loads of clothes you would have to use
1/4 of a cup 8 times
1/4*8=8/4 simplified is 2 which no fractions
so the answer is 2 cups for 4 loads of clothes.
A phone call costs $0.58 per minute for the first three minutes and $0.15 per minute for each additional minute. If the total charge for the call was $4.29, how many minutes long was the call Explain the answer in terms of the problem. Show all work.
Answer:
20 minutes
Step-by-step explanation:
.58 times 3 equal 1.74
4.29 - 1.74 = 2.55
2.55 divided by .15 = 17
17 + 3 = 20
hopefully this helps you :)
pls mark brainlest ;)
In the figure below, K lies between J and L. Find the location of K so that JK is 1/7 of JL.
Answer:
-22 is the value of K.
Step-by-step explanation:
A simple way to see how far a mid-point or end-point is from another is by adding or subtracting. For this figure I added to see how many numbers would add twice to get from -15 to -29. -14 is the exact number from -15 to -29; divide that by 2 to get half of -14 which is -7. -7 + (-15) gives you -22.
The location of K so that JK is 1/7 of JL is -22.
Given that, K lies between J and L.
We need to find the location of K so that JK is 1/7 of JL.
What is a line segment?In geometry, a line segment is a part of a line that is bounded by two distinct end points and contains every point on the line that is between its endpoints.
Now, the distance between the points J and L on the number line is 14.
So, 1/7(14)=2
A simple way to see how far a mid-point or end-point is from another is by adding or subtracting. For this figure, I added to see how many numbers would add twice to get from -15 to -29. -14 is the exact number from -15 to -29; divide that by 2 to get half of -14 which is -7. -7 + (-15) gives you -22.
Therefore, the location of K so that JK is 1/7 of JL is -22.
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Could someone please help? I literally can’t figure this out
Answer:
56
Step-by-step explanation:
Please help me idk what to do I have other ones too
Answer:
B
Step-by-step explanation:
all the other ones are either 50 - 12 or 50 + 12, but B is the total amount of money (x) minus 50($) is 12($).
not sure if that makes sense.
Answer:
b. Haley withdrew $50 from her savings account . After withdrawal she had only $12. How much money was in the account before withdrawalStep-by-step explanation:
okay last one but
5(n^2 + n) – 3(n^2 – 2n)?
Answer =2n^2+11n
you welcome:)
2n² + 11n
Step-by-step explanation:5(n² + n) – 3(n²2 – 2n) =
= 5n² + 5n - 3n² + 6n
= 2n² + 11n
The endpoints of AB are A(2,5) and B(4,3). What are the coordinates of the midpoint of
AB?
Answer:
(3,4)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2
(2+4)/2 = 6/2 =3
To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2
(5+3/2 = 8/2 =4
The midpoint is (3,4)
Answer:
Hey there!
Using the midpoint formula we find the midpoint to be: (3, 4)
Let me know if this helps :)
-3-(-8)-(-2)=Xggggggggggggggggggggggg
Answer:
x is 7
Step-by-step explanation:
-3-(-8)-(-2) = x
7 = x
Write 3 x x x x y y y y using exponents
Answer:
3 x^4 y^3
just add the number of x's and place that as the exponent and do the same with the y
Find the midpoint of the two points (-4,6) & (1.4)
Answer:
(-3/2, 5)
Step-by-step explanation:
(x₁ + x₂) / 2 , (y₁ + y₂) / 2
(-4 + 1) / 2 , (6 + 4) / 2
-3/2 , 10/2
(-3/2, 5)
Evaluate 20x y given that x=15 and y= 10.
Answer:
3000
Step-by-step explanation:
20xy20×15×10just let the x and y into it..How to calculate y=6x^2+1
Hi there!
~
⇒ Graph : [tex]y=6x^2+1[/tex]
∴ Rewrite the equation in vertex form.
⇒ [tex]y = 6 ( x + 0)^2 + 1[/tex]
∴ Use the vertex form, [tex]y = a(x - h)^2 + k[/tex] , to determine the values of [tex]a , h ,[/tex] and [tex]k[/tex]
[tex]a = 6 \\h = 0\\k = 1[/tex]
∴ Since the value of [tex]a[/tex] is positive, the parabola opens up.
⇵
∴ Find the vertex [tex]( h,k)[/tex].
[tex](0,1)[/tex]
∴ Find [tex]p[/tex], the distance from the vertex to the focus.
[tex]\frac{1}{24}[/tex]
∴ Find the focus.
[tex]( 0 , \frac{25}{24} )[/tex]
∴ Find the axis of symmetry by finding the line that passes through the vertex and the focus.
[tex]x = 0[/tex]
∴ Find the directrix.
[tex]y = \frac{23}{24}[/tex]
∴ Use the properties of the parabola to analyze and graph the parabola.
Direction: Opens Up
⇒ Vertex: [tex]( 0 , 1)[/tex]
⇒ Focus: [tex]( 0 , \frac{25}{24} )[/tex]
⇒ Axis of Symmetry: [tex]x = 0[/tex]
⇒ Directrix: [tex]y = \frac{23}{24}[/tex]
∴ Select a few [tex]x[/tex] values, and plug them into the equation to find the corresponding [tex]y[/tex] values. The [tex]x[/tex] values should be selected around the vertex.
[tex]x : -2 , -1 , 0 , 1 , 2 \\y : 25 , 7 , 1 , 7 , 25[/tex]
Hope this helped you!
Identify two numbers that have a product of -64 and a sum of 0.
Answer:
Step-by-step explanation:
Ron asked 18 classmates whether they prefer granola bars over muffins. he used a calculator to compare the number of classmates who said yes to the total number he surveyed. the calculator showed the result as 0.66666667. how many students prefer granola bars over muffins?
Explanation:
Multiply 0.66666667 with 18 to get
0.66666667*18 = 12.00000006
The 6 at the very end is due to rounding error. In reality the 6's in 0.66666667 should go on forever. That 7 is from rounding up.
Anyways, the result 12.00000006 should be 12 exactly.
Note how
12/18 = 0.66666667
when using a calculator.
Answer:
12
Step-by-step explanation:
Use equilvalent fractions 0.6 repeating is 2/3 than convert it over 18 students which is equal to 12/18 students chose granola bars.
ln which quadrant is the point (–3, 5) located? quadrant I quadrant II quadrant III quadrant IV
Answer:
the point (-3, 5) would be plotted in the second quadrant, quadrant ||
Step-by-step explanation:
is this correct? And if i’m not can you explain please?
Answer:
Option C
Step-by-step explanation:
[tex] {9x}^{10} \times ( - {12}^{13} )[/tex]
[tex] = > {( - 12 \times 9)}x^{10 + 13} [/tex]
[tex] = > { - 108x}^{23} [/tex]
QR is a radius of r and PQ is tangent to r. Find the value of x. Please help me!! I am in dire need! What is X?! Thank you for any assistance. :)
Answer:
54
Step-by-step explanation:
The Pythagorean theorem applies.
(x +36)^2 = 72^2 + x^2
x^2 +72x +1296 = x^2 +5184
72x = 3888 . . . . . . subtract x^2+1296
x = 54 . . . . . . . . . . . divide by 72
Dividing circumference with radius
If you divide the circumference C over the radius r, you get 2pi
2pi = C/r
this is because
C = 2pi*r
is one formula to find the circumference. Another formula is
C = pi*d
which works because d = 2r, ie the diameter is twice the radius.
12 people can comfortably fit in a 5 x 5 foot square. Use this value to estimate the size of a crowd that is 8 feet deep on both sides of the street along a 2 mile section of a parade route.
Answer:
40,550
Step-by-step explanation:
Given that 12 people can comfortably fit in a 5 × 5 foot square
Area of square = 5²= 25 ft²
The dimension Given by : 8 feets depth on both sides along a 2 mile section signifies a rectangular area.
Area of rectangle = (length × width)
Recall :
1 mile = 5280 feets
2 miles = 5280 × 2 = 10,560 feets
Area = 8 × 10560 = 84480 sq feets
84480 / 25 = 3379.2
Estimated number of people will be :
3379.2 × 12 = 40,550.4
Hence, estimated number of people = 40,550
Is 0.7 a rational or irrational number? why is a rational number
0.7 is a rational number.
Explanation:Because it is a terminating decimal expansion.
Answer:
The decimal 0.7 is a rational number. It is read as seven tenths and is equivalent to the fraction 7/10. Since it can be written as a fraction
Solve the given equation for h:
A = 1/2 bh
A = 1/2 bh
Let's simplify the right side.
A = (bh) / 2
Multiply both sides by 2
2A = bh
Divide both sides by b
(2A) / b = h
Solve the equation - 5x – 3 = 3x + 13
[tex]-5x-3=3x+13[/tex]
[tex]8x=-16[/tex]
[tex]x=-2[/tex]
Hope this helps.
頑張って!
What is the sum of 7, 13, and -8? *
Answer:
12
Step-by-step explanation:
7 + 13 + (-8)
Keep in mind, adding a negative number is like subtracting that number.
7 + 13 - 8
= 20 - 8
= 12
Tasha was $422.75 last week. Of that paycheck $42.75 was extra overtime pay for 3 hours. If the rest of the check was Tasha’s weekly earnings for 40 hours, what is her weekly per-hour rate?
The solution is $ 9.50
The weekly per hour rate of Tasha is $ 9.50
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
The weekly per hour of Tasha last week = $ 422.75
The extra overtime pay of Tasha for 3 hours = $ 42.75
The total number of hours working = 40 hours
So , the equation will be
The weekly per hour of Tasha without overtime = weekly per hour of Tasha last week - overtime pay of Tasha for 3 hours
Substituting the values in the equation , we get
The weekly per hour rate of Tasha without overtime = 422.75 - 42.75
The weekly per hour of Tasha without overtime = $ 380
So , The weekly per hour rate of Tasha A = The weekly per hour rate of Tasha without overtime / total number of hours working
Substituting the values in the equation , we get
The weekly per hour rate of Tasha A = 380 / 40
The weekly per hour rate of Tasha A = $ 9.50
Therefore , the value of A is $ 9.50
Hence , The weekly per hour rate of Tasha is $ 9.50
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Point M is the midpoint of segment AC. Point M is located at (25.5, 60.1), and point C is located at
(18.3, 72.5).
M (25.5, 60.1)
C (18.R 72.5)
Find the location of point A. Round to the nearest tenth.
Answer:255.601
Step-by-step explanation:
(x+2)^3/4=27. Solve for x.
Answer:
x = 79.
Step-by-step explanation:
Simplify both sides of the equation, then isolate the variable.
can anyone help me with this i’m not to good in geometry
Answer:
I think the ans is A. inverse.