Answer:
[tex]1\ gallon = 128\ fl\ oz[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{2}\ gallon => 8\ cups[/tex]
[tex]32\ fl\ oz => 4\ cups[/tex]
Required:
Relationship between gallon and ounces
[tex]\frac{1}{2}\ gallon => 8\ cups[/tex] -- (1)
[tex]32\ fl\ oz => 4\ cups[/tex] -- (2)
Multiply 2 by 2
[tex]2 * 32\ fl\ oz => 4\ cups * 2[/tex]
[tex]64\ fl\ oz => 8\ cups[/tex] --- (3)
The expressions in (1) and (3) are equivalent to 8 cups;
They can be combined to give:
[tex]\frac{1}{2}\ gallon = 64\ fl\ oz[/tex]
Multiply both sides by 2
[tex]2 * \frac{1}{2}\ gallon = 64\ fl\ oz * 2[/tex]
[tex]1\ gallon = 128\ fl\ oz[/tex]
Order the following numbers from least to greatest:
10^5,10^-99,10^-17,10^14,10^-5,10^30
Answer:
10^-99, 10^-17, 10^-5, 10^5, 10^14, 10^30
Step-by-step explanation:
Each root adds a exponent behind the initial one. The negatives add a decimal point and zeros in front
Helpppp will give brainly
Answer:
y=27.75
x=13.5
Step-by-step explanation:
(5x-17)+(3x-11)=180 (supplementary angle rule)
8x-28=180
8x=180+28
x=108/8
x=13.5
(3x-11)+90+(2y+5)=180 (supplementary angle rule)
29.5+90+2y+5=180 (replace x by 13.5)
2y=55.5
y=55.5/2
y=27.75
Write an equation for the description.
Hector is visiting a cousin who lives 340 miles away. He has driven 60 miles. How many more miles does
he need to drive to reach his cousin's home? Let d be how many miles left to reach his cousin's home.
Answer:
340-60=?
Step-by-step explanation:
The radius of a circle is 13m. Find it’s area in terms of pi
Answer:
169pi
Step-by-step explanation:
Area of a circle: [tex]\pi[/tex]r²
pi × 13 × 13= 169pi
Answer: 169ip
Step-by-step explanation:
The temperature of a pot of water is 180.3℉. The temperature of the water changed -2.5℉ per minute.
What was the water temperature after 20 minutes?
How many minutes did it take to cool the water to 100.3℉?
Answer:
130.5, 40 minutes
Step-by-step explanation:
It took about 40 minutes.
if sugarless gum sells at 2 pieces for $.25, then what would 10 pieces cost?
Answer:
My answer is 10 pieces = $1.25
Step-by-step explanation:
If 2 pieces cost $.25 then you need to multiply $.25/2, because $.25 is for two pieces. So, when you divide that you get $0.125 so then take the $0.125 and multiply by 10 to get $1.25.
ALTERNATE SOLUTION:
If 2 pieces cost $.25 then you need to multiply $.25 x 5, because $.25 is for 2 pieces. So, when you multiply that you get $1.25.
The cost of 10 pieces of sugarless gum if 2 pieces cost $.25 is $1.25
Cost of itemsGiven:
Cost of 2 pieces = $.25cost of 10 pieces = $xRatio of pieces to cost
2 : .25 = 10 : x
2 / .25 = 10 / x
cross product2 × x = .25 × 10
2x = 2.5
divide both sides by 2x = 2.5/2
x = $1.25
Therefore, the cost of 10 pieces of sugarless gum is $1.25
Learn more about cost:
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What is the distance between (-1,6) and (2,8) round to the nearest hundredth
Answer:
3.61
Step-by-step explanation:
Use the distance formula
√(2−−1)^2+(8−6)^2
√(2+1)^2+(8−6)^2
√(3)^2+(2)^2
√9+4
√13
√≈3.605551275463989
round to the nearest hundredth
3.61
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What coordinate changes when reflected over the y-axis?
Answer:
When a point is reflected across the y-axis, the y-coordinate(s) remain the same. But the x-coordinate(s) is transformed into opposite signs.
Answer:
the x coordinate
Step-by-step explanation:
When flipping over the y-axis, the x-coordinate's sign changes.
I need help with this .....
Answer:
6.5 hours
Step-by-step explanation:
hope this helped u bye
Help pleaseeeee !!!!!!
Answer:
see below
Step-by-step explanation:
19. -9 x = -117
20. -¹/₈ x = -³/₄
21. ⁵/₆ x = -⁵/₉
---------------------
19.
x = 117 / 9
x = 13
20.
x = ³/₄ divide ¹/₈
x = 6
21.
x = -⁵/₉ divide ⁵/₆
x = -²/₃
Multiply terms 4a2 X 2a5
Answer:
8a^7
Step-by-step explanation:
4a^2 * 2 a^5
Multiply the coefficients
4*2 = 8
Since the bases are the same, we can add the exponents
a^2 * a^5 = a^(2+5) = a^7
8a^7
What are the solutions of 8x2 = 6 + 22x? Check all of the boxes that apply. x = -3 x = -1/4 x = 3 x = 6
Answer:
x = -1/4
x = 3
The solutions of the given quadratic equation 8x² = 6 + 22x will be x = -1/4 and x = 3 thus, option (B) and (C) is correct.
What is a quadratic equation?An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.
For example, 3x² + 6x + 8 = 0 here x has the highest term as 2 and the coefficient of x² is not zero.
As per the given quadratic equation,
8x² = 6 + 22x
The roots must satisfy the above equation,
8(-3)² = 6 + 22(3)
72 = 72
And,
8(-1/4)² = 6 + 22(-1/4)
8/16 = 6 - 11/2
1/2 = 1/2
Hence "The solutions of the given quadratic equation 8x² = 6 + 22x will be x = -1/4 and x = 3"
For more about the quadratic equation,
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What is the answer of This,this is is rational numbers 3.3(6)=
Answer:
19.8
Step-by-step explanation:
Since 3.3*6 is 19.8.
Answer: =19.8
Step-by-step explanation: Mutiply without decimal points. Then put the decimal point in the problem.
3.3 has 1 decimal points
6 has 0 decimal points
Therefore it has 1 decimal in total
(If you need more help go to rational expression calculator)
Given the original statement "If a number is negative, the additive inverse is positive,” which are true? Select three options. If p = a number is negative and q = the additive inverse is positive, the original statement is p → q. If p = a number is negative and q = the additive inverse is positive, the inverse of the original statement is ~p → ~q. If p = a number is negative and q = the additive inverse is positive, the converse of the original statement is ~q → ~p. If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q. If q = a number is negative and p = the additive inverse is positive, the converse of the original statement is q → p.
Answer:
A. If p = a number is negative and q = the additive inverse is positive, the original statement is p → q.
B. If p = a number is negative and q = the additive inverse is positive, the inverse of the original statement is ~p → ~q.
D. If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q.
Step-by-step explanation:
(not 100% sure if these are correct but if they are, then I hope they helped you!)
have a nice day/night!
Answer:
abd
Step-by-step explanation:
Drag and drop the correct notation into each box for every description of the interval shown on the
number line.
0
1
2
3
4
תU
5
6
7
8
Inequality:
x>3
X<3
{x | x > 3)
{x | x <3}
Set notation:
[3, +)
(3, +00)
Interval notation:
?
Answer:
Inequality: [tex]x \geq\ 3[/tex]
Set Notation: [tex]\{x | x \geq\ 3\}[/tex]
Interval: [tex][3, +oo)[/tex]
Step-by-step explanation:
Given
The Attached Number Line
Solving (a): The Inequality
i. On the number line, we notice that a thick line starts at number 3 and points to the right
ii. Also, there is a closed circle on number 3.
(i) & (ii) indicates that [tex]x \geq\ 3[/tex]
Solving (b): Set Notation
The set notation that indicates [tex]x \geq\ 3[/tex] is
[tex]\{x | x \geq\ 3\}[/tex]
Solving (c): The interval notation
The inequality [tex]x \geq\ 3[/tex] implies that x starts from 3 and moves towards +infinity
The means that 3 is inclusive of the inequality
Hence:
The interval notation is [tex][3, +oo)[/tex]
What is equivalent to the expression?
Answer:
1/16
Step-by-step explanation:
[tex](2^{2})^{-2} \\2^{2*(-2)} \\ 2^{-4} \\ \frac{1}{2^{4} } \\\frac{1}{16}[/tex]
Find the distance between the points C (-6, 5) and D (-3, 1)
Answer:
5
Step-by-step explanation:
Two angles are complementary if their sum is 90°. If the measure of the first angle is x°, and
the measure of the second angle is (3x - 2)°, find the measure of each angle.
Answer:
The first angle is 23°, the second angle is 67°Step-by-step explanation:
x° - measure of first angle
(3x-2)° - measure of second angle
Their sum is 90° so
x + 3x - 2 = 90
+2 +2
4x = 92
÷4 ÷4
x = 23
3x-2 = 3•23 - 2 = 69 - 2 = 67
Checking: 23+67 = 90
A(-4, 2) and B (6, 12), find the distance of AB
Answer:
14.142136
Step-by-step explanation:
Amy is six years older than her brother Leo. Leo is seven years old. If n stands for Amy's age, which of these sentences could be used to find her age?
Answer:
n = 6+x
Step-by-step explanation:
Given that:
Amy is 6 years old than her brother Leo
Let consider the age of Leo to be x since we are not yet told how old is Leo
Then Amy is 6+x
Now, we know that Leo is seven years old,
i.e x = 7
If n stands for Amy's age,
Then, the algebraic expression showing how old is Amy's age can be expressed as n = 6+x
Amy's age (n) = 6+7
Amy's age (n) = 13
To solve any word problem, we need to define our conditions into system of the equations. Thus, Amy's age is 13 years.
Amy is six years older than her brother Leo.
Leo's age is seven years.
It is given in the question that Amy's age stands for 'n'.
Thus, according to the given conditions from the question.
The expression that defines the age of Amy is given below.
[tex]\rm{Amy's\;Age}=7+\rm{Leo's\;Age}\\n=7+6\\n=13[/tex]
Thus, Amy's age is 13 years.
To know more about it, please refer to the link:
https://brainly.com/question/2317300
Jason Solves a math problem on the board using the Power of Products Property. Is his answer correct? Explain. 63 • 73 = 423
What does this quote "All the best heroes are ordinary people who make themselves extraordinary mean"?
Answer:
this mean that the most extraordinary people are just ordinary people who just stick out in the world and you can be that too.
Mr. Smith is making $25 and hour before his boss gives him a 10% raise. How much will his new hourly wage be?
$25.10
$27.50
$50.00
$26.50
Answer:
DVvddhsajmsmzmzmxmxmx
Step-by-step explanation:
Type the integer that makes the following subtraction sentence true:
-57 - ? = -151
Answer:
94
Step-by-step explanation:
Its pretty simple,
The easiest way to find the missing number is to do 151-57, which = 94
what are the midpoint between this two points
(-1,-5) and (-5,9)
Hey there! I'm happy to help!
To find the x value of the midpoint, you add the x values and divide by 2.
-1-5=-6
-6/2=-3
For the y value, you add the y values and divide by 2.
-5+9=4
4/2=2
Therefore, the midpoint is (-3,2).
Have a wonderful day! :D
Find the difference using the number line. A number line ranging from seven to eight, with increments of one-tenth units. Drag and drop a number into the box to match the subtraction problem with its difference. 7.4−0.2
and the answers or opposition are
A.)9.4
B.)5.4
C.)7.2
D.) 7.6
Answer:
7.2
Step-by-step explanation:
Answer:
The answer is 7.2
Step-by-step explanation:
7.4 - 0.2 = 7.2
7.4
0.2
____
7.2
A computer generates 90 integers from 1 to 5 at random. The results are recorded in the table.
What is the experimental probability of the computer generating a 1?
10%
20%
30%
40%
Outcome Number of times
outcome occurred
1 36
2 11
3 13
4 12
5 18
Answer:
40%
Step-by-step explanation:
36/90 integers are 1, so the experimental probability is ...
p(1) = 36/90 = 0.40 = 40%
Using it's concept, it is found that there is a 0.4 = 40% experimental probability of the computer generating a 1.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
For an experimental probability, these numbers of outcomes are taken from previous trials. In this problem, there have been 90 trials, and 36 resulted in a 1 being generated, hence:
p = 36/90 = 0.4.
0.4 = 40% experimental probability of the computer generating a 1.
More can be learned about probabilities at https://brainly.com/question/14398287
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there are 4 birds and 6 snakes. what is the ratio of birds to total animals?
Answer: 4:10
Step-by-step explanation:
hey can yall help me out in dis
Answer:
x/34
Step-by-step explanation:
The midpoint of M of ST has coordinates (1,6). Point T has coordinates (0, 4).
Answer:
plot the coordinates (1,6) and (0,4) on the graph shown below
Step-by-step explanation:
