Answer:
2 wholes and 5/26
Step-by-step explanation:
convert the mixed number to improper fraction
= -19/6 / -13/9
since there is 2 negatives and (-)/ (-) means your answer is positve
to divide by a fraction multiply by the reciprocal of that fraction.
19/6 x 9/13
reduce 6 and 9 to 3 and 2 becuase both have a GCF of 3.
19/2 x 3/13
multiply 19/2 x 3/13
= 57/26
= 2 wholes and 5/26
= 2.1923076
If a sphere of ice cream that was 2.5 inches in diameter was placed on top of the ice cream cone that had a height of 4 inches and a diameter of 1.75 inches and left to melt directly into the cone, would the all of the ice cream fit into the cone? Justify your answer using mathematics and a complete sentence answer.
Answer:
The cone would not the all of the ice cream fit into the cone.
Step-by-step explanation:
Geometrically speaking, the volume of the cone ([tex]V_{c}[/tex]), measured in cubic inches, is described by the following equation:
[tex]V_{c} = \frac{\pi}{3}\cdot r^{2}\cdot h[/tex] (1)
Where:
[tex]r[/tex] - Base radius, measured in inches.
[tex]h[/tex] - Height, measured in inches.
And the ice cream ball is described by the volume equation for the sphere ([tex]V_{s}[/tex]), measured in cubic inches:
[tex]V_{s} = \frac{4\pi}{3} \cdot R^{3}[/tex] (2)
Where [tex]R[/tex] is the radius of the ice cream ball, measured in inches.
In this case, the ice cream will fit into the cone if and only if [tex]V_{s} \le V_{c}[/tex]. That is:
[tex]\frac{4\pi}{3}\cdot R^{3} \le \frac{\pi}{3}\cdot r^{2}\cdot h[/tex]
[tex]4\cdot R^{3} \le r^{2}\cdot h[/tex]
If we know that [tex]r = 0.875\,in[/tex], [tex]h = 4\,in[/tex] and [tex]R = 1.25\,in[/tex], then the inequation is:
[tex]4\cdot (1.25\,in)^{3}\le (0.875\,in)^{2}\cdot (4\,in)[/tex]
[tex]6.25\,in^{3}\le 3.063\,in^{3}[/tex] (CRASH!)
Which leads to an absurd. Hence, the cone would not the all of the ice cream fit into the cone.
Use the graph of the polynomial function to find the factored form of the related polynomial. Assume it has no constant factor.
Answer:
I had a slightly different question, but I think its option D
(x - 3)(x + 3)
Erika bought a piece of furniture for $450. If
the sales tax was 6.25%, how much did she
pay in sales tax?
Answer:
$28.13
Step-by-step explanation:
english: 6.25% of $450
math: (6.25/100) x 450 = 0.0625x450 = 28.125 = 28.13, rounded
PLS HELP WILL MARK U BRAINLIEST
What is an 8-bit binary number known as? Select one: a. variable b. algorithm c. code d. byte
Answer:
A Byte
Step-by-step explanation:
Answer:
It would be known as a byte.
Step-by-step explanation:
For example, 10110101 has eight digits and would therefore be known as a byte.
4(х – 1) = 3х – 1
what is x
Answer:
x=3 hope I helped you! :)
WILL MARK YOU BRAINLIEST
Answer:
15) The equation to find the sum of interior angles is
(n - 2).180
which means that a polygons interior angles will always be a multiple of 180 because they are multiplied by it.
Twenty-four is ___% of 80
Answer:
30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
i really don't have a method for this, just try a number you think is close, go up, or down depending on the number
Suppose f(x)= 6x-5 . Describe how the graph of g compares with the graph of f. g(x)=f(x) +9
Answer:
Please check the graph attached.
Step-by-step explanation:
Given the function
f(x)= 6x-5
and
g(x)=f(x) +9
g(x)=f(x) +9 means 9 is added into the output of the parent function f(x).
It means the function g(x) would be shifted 9 units up.
Please check the attached diagram.
The red graph represents the graph f(x)= 6x-5.
It is clear that the y-intercept of the graph f(x)= 6x-5 is (0, -5)
The blue graph represents the graph g(x)=f(x) +9
It is clear that the y-intercept of the graph g(x)=f(x) +9 is (0, 4)
Conclusion:
It is clear that g(x)=f(x) +9 has been shifted up by 9 units from the f(x)= 6x-5.
Please helpppp
Find the value of x. Your answer must be
Exact
Answer:
x = 8
Step-by-step explanation:
sin (30) = 4/x => solve for x.
Answer:
[tex]x=8[/tex]
Step-by-step explanation:
Use the sine ratio because we have the hypotenuse and side opposite the given angle to work with:
[tex]sineX=\frac{opposite}{hypotenuse}[/tex]
Insert the values:
[tex]sin30=\frac{4}{x}[/tex]
Multiply both sides by x:
[tex]x(sin30)=x(\frac{4}{x} )\\\\x*sin30=4[/tex]
Divide both sides by sin30°:
[tex]\frac{x*sin30}{sin30} =\frac{4}{sin30}\\\\x= \frac{4}{sin30}[/tex]
Insert the value of x into a calculator:
[tex]x=8[/tex]
OR:
The little red square means that angle is 90º, and the other given angle is 30°. Since every triangle has a measure of 180°, the other missing angle is 60°. The given triangle is a 30°-60°-90° triangle with the following rules:
[tex]long.leg=short.leg*\sqrt{3}\\\\hypotenuse=short.leg*2[/tex]
The hypotenuse is represented by the variable x. We are given the value of the short leg, which is 4. Solve for the hypotenuse:
[tex]h=4*2\\\\h=8[/tex]
Therefore, the value of x is 8.
:Done
Anna spent $2.75 at the school store. She bought two erasers and some pencils. How many pencils did she buy? Write and Solve an equation. If needed, use P to represent the number of pencils, and E to represent the number of Erasers. (This is for Multi-step Linear Equations) Pencils: 0.75 each erasers: 0.25 each
Answer:
1.25 is what she spent so she got 5 pencils
Step-by-step explanation:
Given M BC equals 38° and M
What are the steps for simplifying an expression with exponents
Answer:
Step-by-step explanation:
1- Remove any grouping symbol such as brackets and parentheses by multiplying factors.
2- the exponent rule to remove grouping if the terms are containing exponents.
3- Combine the like terms by addition or subtraction.
4- Combine the constants.
can someone help i know you looking
Answer:
A
Step-by-step explanation:
We know a number is an expression when it is:
1) NOT greater/ less than something else
2) NOT equal/ not equal to something else
The only answer choice that satisfies the above is A.
Write down in terms of n
Answer:
a) -2n+14
b) -5n+30
Step-by-step explanation:
negative because it goes down, any other questions im here to help
SUPER EASY FOR POINTS!!!!solve: x-3=3x-2
Answer:
Polynomial equation solver
x-3=3x-2
Standard form:
−2x − 1 = 0
Factorization:
−(2x + 1) = 0
Solutions:
x = −1
2
= -0.5
Work out the value of angle x.
x
110%
Help:(
Answer:
40°
Step-by-step explanation:
Angles on a straight line add up to 180
180 - 110 = 70
As it's an isosceles triangle the opposite angles are the same
70 + 70 = 140
180 -140 = 40
Answer:
Step-by-step explanation:
180-110=70
x+70+70=180
x=180-140=40°
Can someone help me with this ASAP please and thanks
Answer:
1)a=12 2)b=13
Step-by-step explanation
a really good app to use for the rest of the answers is cymath! it shows you the work too
what is the value of k
-3(k+7)- 5k +4 = 23
a.) k=5 b.) k=-1 c.) k=5 d.)k=1
Answer:12.567
Step-by-step explanation:
Yolanda needs to ship a 35 pound package. If she has to pay 52of a dollar per pound, what is the amount, in dollars, that she needs to pay for shipping?
Answer:
$1820
Step-by-step explanation:
35 x 52 = $1820
There are 27 cupcakes. Nine are chocolate, 7 are
vanilla and the rest are strawberry. What is the
ratio of chocolate & strawberry cupcakes to
vanilla & chocolate cupcakes?
Answer:
9/11 = 7/9
Step-by-step explanation:
9 are chocolate
27 - 16 = 11
7 are vanilla
20:16
Step-by-step explanation:
9 chocolate
7 vanilla
11 strawberry
9+11=20, 9+7=16
what is the range of the function f(x)=7-3x when the domain is {-4, -2, 0, 2}?
Answer:
{19,13,7,1}
Step-by-step explanation:
Since the domain is the input we have to plug in each of those numbers to get the range ( or the output.) When we plug in -4 we get 19. When we plug in -2 we get 13, when we plug in 0 we get 7 and when we plug in 2 we get 1. (:
3.Mr. Lewis is buying art supplies for his students. For this project, he can spend no more than $50.00.
He has to buy one quart of paint for $8 and then one art kit for each student. The kit costs $3 each.
How many students can do this art project?
Answer: 14 students
Step-by-step explanation:
50,00-8.00= 42.00 42.00/3.00=14.00
Answer:
Step-by-step explanation:
The lowest temperature recorded in Canada was -63 degrees. The highest temperature recorded in Canada was +45 degrees. What is the difference between the temperatures?
Answer:
108 degrees difference.
Step-by-step explanation:
63+45=108
Answer:
108
Step-by-step explanation:
45--63=108
Hope you have a great day!
Easy question pls anwser
Answer:
A, C, D
Step-by-step explanation:
Since 15 is a positive integer, it can be represented in positive situations.
15 students add classes to schedule. = 15
15 points are taken away. = -15
15 point are given. = 15
15 dollars has been added to your salary = 15
15 dollars have been taken from your salary = -15
Answer:
a,b,c
Step-by-step explanation:
I have to solve this system equation by graphing. by the way the equation is all in one,not separate
What is the distance from M to N?
HELPPP ME PLEASE HURRY IM GIVING BRAINLIST!!!!!!!!
50 POINTS!!!!! NO TROLLING PLZ!!
Answer: B. 14 units
Step-by-step explanation:
Answer:
it’s not 14 units, that’s all i know
Step-by-step explanation:
got it wrong on ap3x
Evaluate the expression: 25
A.
2·5
B.
2·2·2·2·2
C.
2·2·2·2
D.
2+2+2+2+2
Answer:
None of those are correct because none equal 25
Answer:
none
of them equel 25 on edge 2021
Step-by-step explanation:
Please answer these for a lot of points don’t scam me or I will report you a lot!
Answer:
t = total money spent
t = $2.99g + $3.25c
for b just plug in g and c
$2.99(7.9) + $3.25(4)
if you put it into a calculator you get that he spent a total amount of $36.62 for the 7.9 gallons of gas and the 4 cans of oil. (:
Answer:
A=45 + 15 + 30 = 90 B=15 (for both spaces) C= Pencils=3 boxes a crayons=1 erasers per bag=2 D= 12 pencils in a pack and 3 in a supply kit.
Step-by-step explanation:
That's it!
How can you determine whether salt water is a solution or a compound?
Answer:
In the comments
Step-by-step explanation: