Answer:
31/5 as a mixed number: 6 and 1/5
-73/8 as a mixed number:-9 and 1/8
Step-by-step explanation:
Rewriting each mixed number as a sum of two signed numbers 3 1/5 and -7 3/8 are 3 and 1/5 and -8 and 5/8 respectively
The mixed number to rewrite as a sum of two signed numbers are as follows:
3 1 / 5-7 3 / 8Rewriting as a sum of the two signed numbers can be represented as follows;
3 1/5 = 16 / 5
-7 3/ 8 = - 59 / 8
Therefore,
3 1/5 will be 3 and 1/5
-7 3/ 8 will be -8 and 5/8
Note
3 + 1/5 = 3 1/5
-8 + 5/8 = -7 3/8
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Ariel has a plastic ice cream cone in her food playset. The ice cream cone is a half-sphere sitting on top of a cone. What is the
approximate volume of the toy ice cream cone? Use 3.14 for x.
52 Step-by-step explanation:
11. Choose the proportion that represents this problem:
If one meter is approximately 3.28 ft, how many meters are
in 20 ft?
a) 3.28
20
b) 3.28
20
1
1
m
O ) c) 3.28
20
1
d) 20
3.28
1
m
т
Answer:
D is the answer
Step-by-step explanation:
Which statement is true about the function shown in the graph?
Answer:
A
Step-by-step explanation:
The function that is shown in the graph is strictly decreasing
What is a function?"A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function."
The given function has a value of (- 5) at a certain point.
After that the function is decreased to a value of (- 10).
Therefore, we can conclude that the function is strictly decreasing.
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4 lemons required to make 6 cups of lemonade
Answer:
If you are looking for a fraction, it would be 2/3 lemon per cup of lemonade
Step-by-step explanation:
If you simplify 4/6 it would be 2/3
In each turn of a game you toss two coins. If 2 heads come up, you win 2 points and if 1 head comes up you win one point
Answer:
I don't understand pls explain
What is the value of n?
Answer:
A
Step-by-step explanation:
180-133= 47
180-142= 38
47+38= 85
180-85= 95
If the inside of n is 95, n has to be 85
Select all the pairs of expressions that are equivalent.
•14d + 21 and 7(2d + 3)
•9(5r - 2) and 14r - 7
•8(69 - 9) and 489 - 72
•16 + 4w and 2(2w + 8)
•32t + 16 and 16(2 – t)
Answer:
14d + 21 = 7(2d + 3)
16 + 4w = 2(2w + 8)
Step-by-step explanation:
14d + 21
7(2d + 3)
14d + 21
14d + 21 = 7(2d + 3)
9(5r - 2)
45r - 18
14r - 7
9(5r - 2) ≠ 14r - 7
8(69 - 9)
552 - 72
489 - 72
8(69 - 9) ≠ 489 - 72
16 + 4w
2(2w + 8)
4w + 16
16 + 4w = 2(2w + 8)
32t + 16
16(2 - t)
32 - 16t
32t + 16 ≠ 16(2 - t)
The pairs of expressions that are equivalent are 14d + 21 and 7(2d + 3) and 16 + 4w and 2(2w + 8)
How to determine the equivalent expressions?To do this, we test each pair of expression.
This is done as follows
14d + 21 = 7(2d + 3)
Expand
14d + 21 = 14d + 21 --- this is true
9(5r - 2) = 14r - 7
Expand
45r - 18 = 14r - 7 --- this is false
8(69 - 9) = 489 - 72
Expand
552 - 72 = 489 - 72 --- this is false
16 + 4w = 2(2w + 8)
Expand
16 + 4w = 4w + 16 ---- this is true
32t + 16 = 16(2 – t)
Expand
32t + 16 = 32 - 16t --- this is false
Hence, the pairs of expressions that are equivalent are 14d + 21 and 7(2d + 3) and 16 + 4w and 2(2w + 8)
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Which shows a graph of a linear equation in standard form Ax + By = C, where A = 0, B is positive, and C is negative? A coordinate plane with a vertical line passing through (1, negative 4), (1, 0) and (1, 4). A coordinate plane with a vertical line passing through (negative 2, negative 4), (negative 2, 0) and (negative 2, 4). A coordinate plane with a horizontal line passing through (negative 4, 4), (0, 4) and (negative 4, 4). A coordinate plane with a horizontal line passing through (negative 4, negative 3), (0, negative 3) and (4, negative 3).
Answer:
A coordinate plane with a horizontal line passing through (negative 4, negative 3), (0, negative 3) and (4, negative 3).
Step-by-step explanation:
Ax + By = C, where A = 0, B is positive, and C is negative
By= C or y= C/B which is negative
Since A is zero and C is negative, the line is parallel to x- axis and has negative value for y, so it is a horizontal line below zero
---------------
A coordinate plane with a vertical line passing through (1, negative 4), (1, 0) and (1, 4).
no, the line is horizontal
A coordinate plane with a vertical line passing through (negative 2, negative 4), (negative 2, 0) and (negative 2, 4).
no, the line is horizontal
A coordinate plane with a horizontal line passing through (negative 4, 4), (0, 4) and (negative 4, 4).
no, the y-values should be negative
A coordinate plane with a horizontal line passing through (negative 4, negative 3), (0, negative 3) and (4, negative 3).
yes, this is horizontal line below zero
Answer:
D
Step-by-step explanation:
What is the slope of the line graphed below?
(-2,2)
(3, 1)
Answer:
hey. your questions is not complete. pls add an attachment of the graph to your question
Answer:
[tex]-\frac{1}{5}[/tex]
Step-by-step explanation:
To find the slope, the formula is [tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]\frac{1-2}{3-(-2)}=-\frac{1}{5}[/tex]
Hope this helps
50% of a number is 32
what is the number
Answer:
64
Step-by-step explanation:
Half (50%) of 64 would be 32
Answer:
64
Step-by-step explanation:
let the number be x
according to the question ,
50 % of x = 32
50/100 * x = 32
50x = 32 *100
x = 3200/50
x = 64
therefore a number is 64
find two numbers whose ratios is 3 to 5 and whose sum is 88
Answer:
33 and 55
Step-by-step explanation:
[tex]\frac{x}{y}: \frac{3}{5}[/tex]
x + y = 88
3 + 5 = 8
[tex]y(\frac{x}{y}): y(\frac{3}{5})[/tex]
[tex]x= \frac{3}{5}y[/tex]
[tex]y+\frac{3}{5}y=88[/tex]
[tex]\frac{8y}{5}=88[/tex]
[tex]5(\frac{8y}{5})=5(88)[/tex]
8y = 440
8y ÷ 8 = 440 ÷ 8
y = 55
x + y = 88
x + 55 = 88
x + 55 - 55 = 88 - 55
x = 33
What is the value of the expression shown below?
Answer:
23 1/4
Step-by-step explanation:
3/6 ^ 2 = 1/4
7 * 4 = 28
28 + 1/4 = 113/4
113/4 - 5 = 93/4
93/4 = 23 1/4
Which expression represents the length, in inches,
of the framed picture?
Answer:
No solution is posible from the information provided
Step-by-step explanation:
Answer:
1. B
2. C
3. 8, 36
Kyle works at a donut factory, where a 10-oz cup of coffee costs 95¢, a 14-oz cup costs $1.15, and a 20-oz cup costs $1.50. During one busy period, Kyle served 29 cups of coffee, using 444 ounces of coffee, while collecting a total of $35.90. How many cups of each size did Kyle fill?
Kyle filled ___ 10-oz cup(s), ___ 14-oz cup(s), and ___ 20-oz cup(s).
Answer:
10 oz: 7
14 oz: 8
20 oz: 6
Answer:
Kyle filled 4 servings of 10oz 16 servings of 14 oz 9 servings of 20 oz
Step-by-step explanation:
10oz 95c = x
14oz 1.15c = y
20oz 1.50c = z
444 given divided by 29 cups
= 444/29 = 15.3103448 average cup weight so the higher size were used more.
9 servings of 20 oz cups = 180 = cost check at 1.50 x 9 = $13.50
16 servings of 14 oz cups = 224 = cost check at 16 x 1.15 = $18.40
4 servings of 10 oz cups = 40 = cost check at 4 x 0.95 = $3.80
Where given collection total said to be $35.90 we total 13.5+18.4+3.8 = 35.7 so we are 0.20 out and can try again.
OR just submit this. 4 servings of 10oz 16 servings of 14 oz 9 servings of 20 oz
The difference of two numbers is 13. The sum of two numbers is 75
Answer:
The numbers are 31 and 44.
Step-by-step explanation:
Given that the difference of two numbers is 13, and the sum of two numbers is 75, to determine what these numbers are, the following calculations must be performed:
(75 - 13) / 2 = X
62/2 = X
31 = X
31 + (31 + 13) = X
31 + 44 = X
75 = X
Therefore, the numbers are 31 and 44.
Find an expression which represents the difference when (-4x – 3y) is subtracted
from (-2x – 10y) in simplest terms.
Answer: (-2x-10y)-(-4x-3y)
-2x-10y-(-4x-3y)
-2x-10y+4x+3y
-2x+4x-10y+3y
-2x+4x-10y+3
Answer =2x-7y
Step-by-step explanation:
A machine depreciate in value at the rate of 10% every year on reducing balance. if the original cost is 20000 and the scrapped value is 13122, how long has the equipment been used?
Maria is asked to write down a prime number between 10 and 20 she writes down 17 is she right explain your answer
Answer:
YES
Step-by-step explanation:
PRIME NUMBER BETWEEN 10 & 20 ARE 11,13,17,19-four
Step-by-step explanation:
it has no factor excluding 1 and itself
find the product. write your answer in exponential form 9²•9-⁶
Answer:
9^8
Step-by-step explanation:
9²•9⁶ = 9^(2+6) = 9^8
Answer:
IF the 6 is negative : [tex]9^{2}[/tex] · [tex]9^{-6}[/tex] then the answer is 1/[tex]9^{4}[/tex]
If the 6 is positive then the answer is [tex]9^{8}[/tex]
Step-by-step explanation:
Exponents are add when their bases are similar.
help me find the answer
write a quadratic function f whose zeros are 2 and -6
Answer:
hope this will help u
Step-by-step explanation:
⇒ Given zeros are α=2 and β=−6.
⇒ Sum of zeros =α+β=2+(−6)=−4
⇒ Product of zeros =α×β=2×(−6)=−12
⇒ Quadratic polynomial =x
2
−(α+β)x+(α×β)
⇒ Quadratic polynomial =x
2
−(−4)x+(−12)
∴ Quadratic polynomial =x
2
+4x−12
The quadratic function having 2 and -6 as zeros is f(x) = x² + 4x - 12.
What is the quadratic function with roots 2 and -6?Given the parameters:
Zeros of the function: 2 and -6.
To find the quadratic function f(x) with zeros at 2 and -6, first set up the equation:
x = 2 and x = -6
These are the real solutions to the quadratic equation:
This means that; ( x - 2 ) and ( x + 6 ) are the factors of the quadratic equation:
Hence:
( x - 2 )( x + 6 ) = 0
Expand using distributive property:
x( x + 6 ) - 2(x + 6 ) = 0
x² + 6x - 2x - 12 = 0
Collect and add like terms:
x² + 4x - 12 = 0
Therefore, the function will be:
f(x) = x² + 4x - 12.
The quadratic function is f(x) = x² + 4x - 12.
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Suppose X is a random variable with a mean of 10 and a variance of 100. Suppose Y is a random variable with a mean of 2 and a standard deviation of 16. Also, suppose X and Y are independent. What is the mean of 10 X + 3 Y?
Answer:
[tex]E(10x + 3y) =106[/tex]
Step-by-step explanation:
Given
[tex]E(x) =10[/tex]
[tex]Var(x) = 100[/tex]
[tex]E(y) =2[/tex]
[tex]Var(y) = 16[/tex]
Required
[tex]E(10x + 3y)[/tex]
To do this, we make use of the following equation
[tex]E(ax + by) =aE(x) + bE(y)[/tex]
So, we have:
[tex]E(10x + 3y) =10 * E(x) + 3 *E(y)[/tex]
[tex]E(10x + 3y) =10 * 10 + 3 *2[/tex]
[tex]E(10x + 3y) =100 + 6[/tex]
[tex]E(10x + 3y) =106[/tex]
Which of the following best shows the distributive property?
1. 2(2 - 3) = 2(-1)
2. 2(2 - 3) = 2(2) - 2(3)
3. 2 - 3 = (-3) + 2
4. 2 + (2 - 3) = (2 - 2) + 3
Answer:
number 2
Step-by-step explanation:
2x2=4
2x-3=-6
4-6=-2
2x2=4
-2x3=-6
4-6=-2
PLEASE HELP MEEEEEEEEEEEEEE
triangle area ?
Answer:
A= 21.65063509
Step-by-step explanation:
triangle area is =base*hight/2
Because we have a right triangle we can apply the trigonometric functions
sin30 =base/hypothenuse = base/10
cos 30 = hight/hypothenuse =hight/10
sin30 = base /10 ; multiply both sides by 10
base = 10*sin30
cos 30 = hight /10 ; multiply both sides by 10
hight = 10 cos 30
A= 10*sin30*10*cos30/2 =
100*sin 30*cos 30/2=
50*sin30*cos30 = ; use calculator make sure is set up in degrees
A= 21.65063509
Which of the expressions below could be factored quickly using the "difference of squares"? Select all that apply.
O 81x² - 12
O x^2 + 25
O 4x^2 – 25
O 9x^2 – 16
O x^2-50
O x^2-81
O x^2-100
Answer:
81x² - 12, no as 12 is not a perfect square x^2 + 25, no as it is a sum of squares 4x^2 - 25, yes 9x^2 - 16, yes x^2 - 50, no as 50 is not a perfect square x^2 - 81, yes x^2 - 100, yesratios that are equivalent to 7/6
Answer:
14 : 12 , 21 : 18 and 28 : 24 .
Step-by-step explanation:
Answer:
14 : 12 , 21 : 18 and 28 : 24 .
Step-by-step explanation:
Therefore, 14 : 12 , 21 : 18 and 28 : 24
In the diagram of circle O shown to the right, PA and PB are tangent to circle O at points A and B, respectively. If mACB 266, then mAPB
Answer: 86 degrees
Step-by-step explanation:
basic triangle proofs
please help
Answer:
Step-by-step explanation:
Hope this helps u !!!
PLEASE HELP !! WILL MARK BRAINLIEST !!!
Answer:
5
Step-by-step explanation:
We can write the equation 7y=3y+20, because the top and bottom lemgths are equivalent
Now isolate x:
7y=3y+20
7y-3y=3y+20-3y (subtract 3y, subtraction property of equality)
7y-3y=20
4y=20 (simplify)
4y/4=20/4 (divide by 4, division property if equality)
y=5
Samuel made a list of his test scores: 88, 100, 92, 80, 85, 94, and 90. What is the lowest test score he can get on his next test to have mean score of 90?
Answer:
he needs to get a 91 to have a mean score of 90
Step-by-step explanation:
add up all the known scores to get 629
let 's' = lowest test score
(629 + s) ÷ 8 = 90 [we divide by 8 because there are 7 known and 1 unknown score)
cross-multiply to get:
629 + s = 720
s = 720-629
s = 91
