There are ten pieces of pizza. Anthony ate 4 9 of the pizza for dinner. He ate 1 6 of the pizza for a bedtime snack. How much of the pizza has he eaten in all? Give your answer as a fraction, reduced to lowest terms.
Answer:
7/18
Step-by-step explanation:
Convert the 10, 9, and 6 to a common denominator which would be 90. So you would have 90/90, 40/90, and 15/90. Then you would add the 15/90 and 40/90 together getting 55/90. Then you subtract 90/90 by 40/90. You would then get 35/90 and then simplify to 7/18.
Anthony had eaten an (11/18) fraction of pizza in all.
What are fractions?A fraction is a portion of a whole or, more broadly, any number of equal pieces.
It is written in the form p/q, read as "p by q", where p is called the numerator and q is called the denominator, and the fraction p/q represents p number of equal parts from q number of equal parts.
How to solve the given question?In the question, we are informed that there There are ten pieces of pizza. Anthony ate a 4/9th fraction of the pizza for dinner. He ate a 1/6th fraction of the pizza for a bedtime snack.
We are asked to find how much of the pizza has he eaten in all.
Total pizza Anthony had = Pizza he had for dinner + Pizza he ate as a bedtime snack.
or, Total pizza Anthony had = {(4/9) + (1/6)} fraction of pizza,
or, Total pizza Anthony had = {(8/18) + (3/18)} fraction of pizza,
or, Total pizza Anthony had = {11/18}th fraction of pizza.
Therefore, Anthony had eaten an (11/18) fraction of pizza in all.
Learn more about fractions at
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What is 4-9+(-6)?????????
Answer:
it's -11
Step-by-step explanation:
hope this helped
Answer:
-11
Step-by-step explanation:
Problem: 4-9+(-6)
First: 4-9
Second: -5+(-6)
Answer: -11
Find the average rate of change in the price of gasoline from 2006 to 2008
Year
Cost
2005
$2.31
2006
$2.62
2007
$2.84
2008
$3.30
2009
$2.41
2010
$2.84
2011
$3.58
2012
$3.68
А.
$0.34/year
В.
$0.28/year
C.
$0.32/year
D. $0.35/year
Answer:
A
Step-by-step explanation:
Find the slope of the line tangent to the graph of (x^2)-((xy)^(1/2))=(2y^2)+3x at the point (4,1).
Compute [tex]\frac{\mathrm dy}{\mathrm dx}[/tex] using implicit differentiation:
[tex]x^2-(xy)^{1/2}=2y^2+3x[/tex]
[tex]\dfrac{\mathrm d(x^2)}{\mathrm dx}-\dfrac{\mathrm d(xy)^{1/2}}{\mathrm dx}=\dfrac{\mathrm d(2y^2)}{\mathrm dx}+\dfrac{\mathrm d(3x)}{\mathrm dx}[/tex]
[tex]2x-\dfrac1{2(xy)^{1/2}}\left(\dfrac{\mathrm dx}{\mathrm dx}y+x\dfrac{\mathrm dy}{\mathrm dx}\right)=4y\dfrac{\mathrm dy}{\mathrm dx}+3[/tex]
[tex]2x-\dfrac1{2(xy)^{1/2}}\left(y+x\dfrac{\mathrm dy}{\mathrm dx}\right)=4y\dfrac{\mathrm dy}{\mathrm dx}+3[/tex]
[tex]2x-\dfrac12\left(\dfrac yx\right)^{1/2}-\dfrac12\left(\dfrac xy\right)^{1/2}\dfrac{\mathrm dy}{\mathrm dx}=4y\dfrac{\mathrm dy}{\mathrm dx}+3[/tex]
[tex]2x-3-\dfrac12\left(\dfrac yx\right)^{1/2}=\left(4y+\dfrac12\left(\dfrac xy\right)^{1/2}\right)\right)\dfrac{\mathrm dy}{\mathrm dx}[/tex]
[tex]4x-6-\left(\dfrac yx\right)^{1/2}=\left(8y+\left(\dfrac xy\right)^{1/2}\right)\right)\dfrac{\mathrm dy}{\mathrm dx}[/tex]
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{4x-6-\left(\frac yx\right)^{1/2}}{8y+\left(\frac xy\right)^{1/2}}[/tex]
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{4x(xy)^{1/2}-6(xy)^{1/2}-y}{8y(xy)^{1/2}+x}[/tex]
Plug in x = 4 and y = 1 to find that the tangent line's slope is 19/20.
2x-2 ???????????????????????????????????????????????????
Susan is buying three different colors of tiles for her kitchen floor. She is buying 107 red tiles, and three times as many navy blue tiles as beige tiles. If susan buys 435 tilea all together, how many tiles of each color does susan buy?
How are the entries of the matrix named by position?
Answer:
6=a23
8=a35
2=a32
Step-by-step explanation:
You are planning to plant a triangular garden in your backyard, as shown. You plan to put up a fence around the garden to keep out animals. Find the length of fencing you need to the nearest meter.
Answer:
24 m
Step-by-step explanation:
The lenght of fencing needed is the sum of all sides the triangular garden represented on the coordinate grid.
The lenght of the triangular garden = 16 - 10 = 6 m
Lenght of the height = 8 - 0 = 8 m
Lenght of the hypotenuse can be calculated using coordinates of the two vertices of the ∆ that forms the hypotenuse lenght and also using the distance formula.
Coordinates of the two vertices = (10, 0) and (16, 8).
[tex] distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] (10, 0) = (x_1, y_1) [/tex]
[tex] (16, 8) = (x_2, y_2) [/tex]
[tex] d = \sqrt{(16 - 10)^2 + (8 - 0)^2} [/tex]
[tex] d = \sqrt{(6)^2 + (8)^2} [/tex]
[tex] d = \sqrt{36 + 64} = \sqrt{100} [/tex]
[tex] d = 10 [/tex]
Length of fencing = 6 + 8 + 10 = 24 m
1/2 of the total dog population in your town is 130 dogs. How many dogs are there in your town?
Answer:
260
Step-by-step explanation:
hope it helps
Would 2-3 have the same answer as 3-2? Why or why not?
Answer:
No
Step-by-step explanation:
2-3= -1
3-2 = 1
( 5 - 2i)2 Write answer in standard form a +bi. Remember you can not have i2 in your answer it is a number.
Answer:
Step-by-step explanation:
(5 - 2i)^2
25 - 10i - 10i + 4I^2
25 -20i - 4
21 - 20i
x=4-k over 6, what is k
Answer:
k = -6x+4Step-by-step explanation:
[tex]x =\frac{4-k}{6}[/tex]
Cross Multiply
[tex]x \times 6 = (4-k)\times 1\\\\6x = 4-k[/tex]
Isolate k
[tex]6x -4 =-k[/tex]
Divide through by -1
[tex]\frac{6x}{-1} -\frac{-4}{-1} = \frac{-k}{-1}\\ \\-6x+4 =k\\\\k =-6x+4[/tex]
Solve using properties 93+(68+7)
Solve each system of equations using substitution
Y=2x+3
5x-2y=-6
Fraction Operation pls help
please help!!! urgent
Answer:
E
Step-by-step explanation:
is the answer
Joey Page earns $5.75 per hour at his part-time job. Last week he worked 25 hours. What was his gross
pay for the week
Answer:
143.75
Step-by-step explanation:
idk man use google or something
from the product of 30 and 70 take the sum of the two numbers
Huh? Is yo question finished
Courtney and Malik are buying a rug to fit in a
50-square-foot space, which rug should they
purchase? Explain.
$99 Rug Sa
-3/8r + 41 = -22 solve for r
Answer:
r=168
Step-by-step explanation:
If f(x) = 4x – 2 and g(x) = 5x – 3, what is g(f(2))?
Step-by-step explanation:
f(2) = 4(2) - 2
= 8 - 2
= 6
g(f(2)) = g(6)
g(6) = 5(6) - 3
= 30 - 3
= 27
g(f(2)) = 27
1 7/8 x 10/7 x 4 I need help answering this its confusing
Answer: 75/7
Step-by-step explanation:
Concept:
Multiplication in fraction is the numerator times numerator and denominator times denominator, and if possible, you can simplify the numerator and denominator by eliminating common factor.
Solve:
1 7/8= 15/8
1 7/8 × 10/7 × 4
=15/8 × 10/7 × 4
=150/56 × 4
=600/56
=75/7A right triangle has one angle that measures 5°. What is the measure of the other acute angle?
Answer:
85
Step-by-step explanation:
There are three angles in a triangle
Since it is a right triangle one angle is 90 degrees
We are given one angle is 5 degrees
Let the third angle be x
The sum of the angles of a triangle is 180
x+5+90 =180
Combine like terms
x+95 = 180
Subtract 95 from each side
X+95-95 = 180-95
x = 85
round 355,668 to the nearest hundred thousands
Answer:
400,000
Step-by-step explanation:
Supervisor: "Representatives can credit a customer's account up to 20% of the full
amount due on the bill."
Representative: "My customer is threatening to leave our company. The customer's
bill is $333.00. I could offer the customer a credit of
$40.00
$48.00
$55.00
$60.00
$66.60
Answer:
$66.6
Step-by-step explanation:
Given that,
The customer's bill is $333.00. Representatives can credit a customer's account up to 20% of the full amount due on the bill.
We need to find 20% of $333 as follows :
[tex]=20\%\ \text{of}\ 333\\\\=\dfrac{20}{100}\times 333\\\\=\$66.6[/tex]
Hence, I could offer the customer a credit of $66.6. Hence, the correct option is (E).
The monthly rents (in dollars) paid by 8 people are given below. (Note that these are already ordered from least to greatest.) 545, 945, 970, 995, 1015, 1030, 1040, 1124 Suppose that one of the people moves. His rent changes from $545 to $905.
Answer the following. (a) What happens to the median? It decreases by s[ It increases by se It stays the same. It decreases bys] (b) What happens to the mean? It increases by It stays the same.
Answer:
Step-by-step explanation:
Before: 545, 945, 970, 995 , 1015, 1030 , 1040 , 1124
Now: 905, 945, 970, 995 , 1015, 1030 , 1040 , 1124
a) Median stays same.
As number of data's is 8, median is the average of 4th and 5th term
Median = (995 + 1015)/2 = 2010/2 =
Median = 1005
When rent changes from $545 to $ 905, the 4th and 5th term remains same.
So, median stays same
b) Mean increases 45
Before: 545, 945, 970, 995 , 1015, 1030 , 1040 , 1124
Mean = Sum of rents ÷ 8
= (545 + 945+ 970+ 995 + 1015 +1030 + 1040 + 1124)/8
=7664/8
= 958
Now : 905, 945, 970, 995 , 1015, 1030 , 1040 , 1124
Mean = (905 + 945+ 970+ 995 + 1015 +1030 + 1040 + 1124)/8
= 8024/8
= 1003
Mean increases by 1003 - 958 = 45
Find the vertex of the parabola with the equation y=-5x^2+30X+35
4 1/2 x 2 3/5 what is the answer simplified into fraction
Answer:I tnink its 21 sorry if wrong
Step-by-step explanation:
what number is greater than -4 but less then -2
Answer:
-3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
-3 is greater than -4 on the number line but less than -2 on the number line. Therefore, the number is -3
hope I helped.
Find the equation of a line that is parallel to the line y = 3x and contains the point (1, -2).
e
y=(Type your answer in slope-intercept form.)
st
Answer:
y = 3x - 5
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Step 1: Define variables
Slope m = 3
Random point (1, -2)
Step 2: Plug in known variables
y = 3x + b
Step 3: Find b
-2 = 3(1) + b
-2 = 3 + b
b = -5
Step 4: Write parallel linear equation
y = 3x - 5