The total ounces of water Diane brought are 576 ounces and the fraction of a gallon of water did she start the hike with is 3/16.
What is cost price per ounce?The cost price per ounce is the amount of money required to buy one ounce of a brand or goods.
To find the cost price per ounce, divide the total amount of cost of the goods to the total number of goods.
1. There are 8 ounces in 1 cup and 16 cups in 1 gallon. Diane brought 4.5 gallons of water to a campout. Let x ounces of water, did she bring. Thus,
[tex]x=4.5\times16\times8\\x=576\rm\; ounces[/tex]
Diane started a hike with 24 ounces of water in her backpack. The fraction of gallons in 24 ounces is,
[tex]n=\dfrac{24}{8\times16}\\n=\dfrac{3}{16}[/tex]
Thus, the total ounces of water Diane brought are 576 ounces and the fraction of a gallon of water did she start the hike with is 3/16.
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What are the zeros of the function f(x) = (x+5)(2x-7)?
A. x = -5 and x = 4
B. x = 5 and x = -4
C. x = -5 and x = 8
D. x = 5 and x = -8
Answer: A
Step-by-step explanation:
[tex]$$Solve for $x$ :$$(x+5)(2 x-7)=0$$Split into two equations:$$x+5=0 \text { and } 2 x-7=0$$Subtract 5 from both sides: $x=-5$ and $2 x-7=0$ \\Add 7 to both sides: $x=-5$ and $2 x=7$\\Divide both sides by 2:\\Answer:$$x=-5 \text { and } x=\frac{7}{2}$$[/tex]
Rounding up for 2nd zero = 7/2 = 3.5
Therefore, the zeroes of the function (rounded to whole numbers) are x = -5 and x = 4
Answer:
the answer is c
Step-by-step explanation:
to find the zeros set
f
(
x
)
=
0
(
3
x
−
5
)
(
2
x
+
7
)
=
0
equate each factor to zero and solve for x
2
x
+
7
=
0
⇒
x
=
−
7
2
3
x
−
5
=
0
⇒
x
=
5
3
What is the rate of change of the following equation?
y = -2x - 1
what is 58.8 in word form
Answer:
It fifty-eight and eight tenths
Step-by-step explanation:
Answer: fifty-eight and eight tenths
Step-by-step explanation:
Find p(7).
help please
Answer:
B) 1/8Step-by-step explanation:
GivenA spinner with 8 sections;Each section has one of the numbers 1 through 8.The probability of each number is same:
P(n) = 1/8, where n- any number between 1 and 8.So P(7) is also 1/8.
Correct choice is B
The measure of an angle is 5°. What is the measure of its supplementary angle?
Answer:
175 degrees.
Step-by-step explanation:
Supplementary angles add up to 180 degrees
Therefore the answer is:
180 - 5
= 175 degrees.
Hi Student!
The first step to almost any problem is that we must concentrate the important information that is given to us in the problem. This problem gives us information including that the measure of an angle is 5 degrees and that this angle is part of a supplementary pair. Let's define what a supplementary pair or angles are.
Supplementary Angles: These are two angles that are right next to each other on a straight line. These angles combine to a total of 180 degrees.Complementary Angles: These are two angles that are right next to each other but this time they are on a right angle. These angles combine to a total of 90 degrees.Now that we have our definitions and important information, we can move onto the next part which is actually finding the other angle. This step is simple now that we know that supplementary angles add up to 180. We can just create an equation that will help us determine our solution.
[tex]angle_1\ +\ angle_2 = 180\ degrees[/tex]
[tex]5\ degrees\ +\ angle_2 = 180\ degrees[/tex]
[tex]5\ degrees-5\ degrees\ +\ angle_2 = 180\ degrees-5\ degrees[/tex]
[tex]angle_2 = 175\ degrees[/tex]
Therefore, our final solution to the supplementary angle of 5 degrees is 175 degrees which can be found by subtracting the given angle from 180.
DUE BEFORE 11 PM HURRY
solve the triangle
Answer:
c = 23.93
Angle ∠B = 21.22°
Angle ∠C = 41.779°
Step-by-step explanation:
What time is it going to be in a hour
Please help me!
Some loose change (pennies, nickels, dimes, and quarters) found behind the couch. Brianna noticed more than half the coins were pennies. Geofrey noticed that there was at least one coin of each type. Michele noticed that you could not make change for the same amount using fewer coins. In the space below, write the total amount of change, in cents, that was found.
The total amount of change, in cents, that was found is determined as 96 cents.
Total amount of change
The total amount of change is calculated as follows;
let the total = T
there was at least one coin of each type
T = p + n + d + q
more than half of the coins were pennies
[tex]\frac{p+n + d + q }{2} \leq p[/tex]
Value of the coinspennies = $0.01nickels = $0.05dimes = $0.1quarters = $0.25more than half = pennies
next, we have; nickels + dimes + quarters
number of dimesy(dimes) = $0.25
y(0.1) = 0.25
y = 0.25/0.1
y = 2.5 ≅ 3
dimes = 3 coins
number of nickelssince dimes = 3 coins, number of nickels is now calculated as;
x(0.05) = 3(0.1)
x = (0.3)/(0.05)
x = 6 coins
nickels = 6 coins
Total coinsTotal coins = nickels + dimes + quarters + pennies
pennies must greater than 6 coins, since we can't have fewer coins.Total coins = nickels + dimes + quarters + pennies
let pennies = 7
Total coins = 6 + 3 + 1 + 7
Total coins = 17
half of 17 = 8.5
7 is less than half (8.5), number of pennies cannot be 7, since more than half of the coins are pennies.
let pennies = 11
Total coins = 6 + 3 + 1 + 11
Total coins = 21
half = 10.5
11 is more than half (10.5)more than half = number of pennies = 11
Total amount in cents11($0.01) + 6($0.05) + 3($0.1) + 1($0.25) = $0.96 = 96 cents
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11.4 Conversions of Polar and Rectangular Coordinates
What are the approximate coordinates in the rectangular plane that represent the polar coordinates (6,- pi/6)
? Round values to the nearest thousandth.
Answer: A - (5.196, -3)
Step-by-step explanation: correct on ed
Order these numbers from least to greatest, -3 1/2 , -3, -4, -3 3/4
Answer:
-4, -3,-3,1/2,3/4
Step-by-step explanation:
this should be right
This room has scratches on the floor. Tyler wants to arrange this rug to cover the scratched area. He will need to flip the rug over (perform a reflection) to do this. Find a reflection that will cover the scratched area with the triangular rug. Be sure to specify the line of reflection
see the attached figure
A(4,8) B(0,7) C(4,3)
the line of reflection is x=5
the reflection is (x,y)-------------------> (10-x,y)
therefore
A(4,8)-----------------> A1(10-4,8)------> A1(6,8)
B(0,7)-----------------> B1(10-0,7)------> B1(10,7)
C(4,3)-----------------> C1(10-4,3)------> C1(6,3)
Find the slope of the graph of C
Step-by-step explanation:
the slope of a line or linear equation is always the factor of the driving variable.
usually in the form of
y = ax + b
x is the variable, and a the slope.
but in our case the variable is called "n".
it does not matter, the same principle applies.
the slope is the factor of n : 1050.
and as the slope is always the ratio y/x, we are looking for a fraction form, and that would be 1050/1.
so, the third answer is correct.
a natural number when divided by 12 15 18
Answer:
173
Step-by-step explanation:
Assume the natural number is x.
x/12 = ... R 5
x/15 = ... R 8
x/18 = ... R 11
Thus, x+7 is divisible by 12, 15 and 18 all together.
The smallest possible number of x+7 can be calculated with prime factorization.
12=2^2 * 3
15=3 * 5
18=2 * 3^2
The smallest possible number for x+7 is 2^2 * 3^2 * 5 = 4 * 9 * 5 = 180.
Therefore, the smallest possible solution for x is 180 - 7 = 173.
HELP PLS
The function of F is defined by f(x)=x+2
find F(n-4)
The function of F is defined by f(x) = x + 2, the value of f(n - 4) is given as f(n - 4) = n - 4 + 2 = n - 2
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the equation:
f(x) = x + 2
The value of f(n - 4) is given as:
f(n - 4) = n - 4 + 2 = n - 2
The function of F is defined by f(x) = x + 2, the value of f(n - 4) is given as f(n - 4) = n - 4 + 2 = n - 2
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Which fraction is shown on the number line?
A number line from 0 to 1. There are 4 unnumbered points between 0 and 1. There is a circle is on the fourth point.
One-fifth
One-fourth
Four-fifths
Five-sixths
sin(x)
1 – cos(x) – cot(x) = csc(x)
Pls help..
Answer:
pls find given attachment
Find the simple interest charged for a loan of:
a $2000 for 3 months at 1.1% per month
Answer:
$5.50
Step-by-step explanation:
I = Prt
P = $2,000r = 1.1% = 0.011t = 3 months = 0.25 yearsSolving :
I = (2,000)(0.011)(0.25)I = (500)(0.011)I = $5.50what is the volume of a cylinder, in cubic feet, with a height of 8 feet and a base diameter of 18 feet? Round to the nearest tenths place
Answer:
188 feet
i know that the answer
nasa makatulong po
The volume of a cylinder, in cubic feet, is,
V = 2,034.7 feet³
We have to given that,
In a cylinder,
Height = 8 feet
And, Diameter = 18 feet
Hence, Radius of cylinder is,
r = 18/2
r = 9 feet
We know that,
Volume of cylinder is,
V = πr²h
Substitute all the values, we get;
V = 3.14 × 9² × 8
V = 2,034.7 feet³
Therefore, The volume of a cylinder, in cubic feet, is,
V = 2,034.7 feet³
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If you were a salaried employee getting paid twice per month, how many times would you be paid in a year?
4 times
6 times
12 times
24 times
Please solve with explanation (high points)
a) Angles ACB in ∆ABC and ECD in ∆EDC are congruent, since they form a vertical angle pair.
Angles ABC and EDC are clearly congruent, since they are both right angles.
The legs AB and ED are parallel, so angles BAC and DEC are congruent alternating interior angles.
Then ∆ABC is similar to ∆CDE by the angle-angle-angle postulate.
b) Because they're similar, corresponding sides occur in a fixed ratio, which tells us that
CD/BC = ED/AB
p/(5 cm) = (4 cm)/(6 cm)
p = 10/3 cm
If you want to make a comment that won’t be seen in r console (output) use .. what
#
print (“ “)
sum ()
rflip()
Lol I’m so lazy
Click on the pic there is the question
Answer:
$212.55
Step-by-step explanation:
hope it helps and give brainliest
There are two numbers and one is 7 more than twice the other. the sum of the numbers is 43. What are the numbers
By solving a little system of equations we will see that the two numbers are 12 and 31.
How to find the numbers?
Let's define the two numbers as a and b.
We know that one of the numbers is 7 more than twice the other, so we have:
a = 2b + 7
We also know that the sum of the two numbers is 43, so we get:
a + b = 43
Replacing the first equation into the second one we get:
2b + 7 + b = 43
3b = 43 - 7 = 36
b = 36/3 = 12
Now that we know b, we can find a:
a = 2*12 + 7 = 31
So the numbers are 12 and 31.
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5x is greater or more than -20
Answer:
Step-by-step explanation:
5x is greater than -20 because if you look at the worst possible solution which is 5(0) it's still larger than -20 because of the number line 0 is greater than -20 so yes 5x is greater than -20
2.8++0.75+1.2= what is the answer
Answer:
1.2
Step-by-step explanation:
{2.8, 0.75, +1.2}
Median: 1.2
Answer: 4.75
Step-by-step Explanation
Hi! URGENT!!!!!!!! please reply. i will mark brainliest IF correct.
Answer:
x = 20
y = √3 / 10
Step-by-step explanation:
The cosine ratio gives the ratio between the adjacent side and the hypotenuse.
The sine ratio gives the ratio between the opposite side and the hypotenuse.
Taking cosine ratio to find x :
cos 60° = 10/x
1/2 = 10/x
x = 20
Taking sine ratio to find y :
sin 60° = y/x
√3 / 2 = y/20
y = √3 / 10
Answer:
x= 20 , y= 10√3
Step-by-step explanation:
This question is clearly a trigonometry question
Please bare in mind :
Cos 60 = 1/2
Sin 60 = √3/2
Tan 60 = √3
Side x is the hypotenuse (h)
Side y is the Opposite (o)
And side with length of 10 is adjacent (a)
To find x, we have a, and we need h
So we use C = a/h
Cos 60 = 10/h
h = 10/Cos 60
h = 10/0.5
h = 20 , x=20
To find y, we can use pythagaros as we found the value of x :
10² + y² = x²
10² + y² = 20²
y² = 20²-10²
y² = 300
y = √300
y= √100×3 y=√100 × √3
y = 10√3
This is our y value
Another way to find y is trigonometry :
We have a and we need o so we use :
T = o/a
Tan 60 = o/10
o = 10×tan 60
o = 10×√3
o = 10√3 , y=10√3
Sorry for not being urgent but give brainliest please
Dan has 5 yellow cars. He has 3 red cars. How many cars does he have?
SOMEONE HELP, I’M POSTING EASY QUESTIONS SO YOU CAN EARN EASY POINTS!! NO RANDOM ANSWERS.. I MEAN IT.
Answer:
8
Step-by-step explanation:
5 + 3 = 8
find x
4 (x - 2y) - (5x + 3y) = 30
3 (3x + 7y) - 2 ( x + 9y ) = 12
Answer:
[tex]x = 3[/tex]
Step-by-step explanation:
Expand and rewrite both equations to make y the subject:
[tex]\begin{aligned}4(x-2y)-(5x+3y) & =30\\\implies 4x-8y-5x-3y & =30\\4x-5x-8y-3y & =30\\-x-11y & =30\\x+11y & = -30\\ 11y & = -x-30\\ y & = \dfrac{-x-30}{11}\end{aligned}[/tex]
[tex]\begin{aligned}3(3x+7y)-2(x+9y) & = 12\\\implies 9x+21y-2x-18y & = 12 \\9x-2x+21y-18y & = 12\\7x+3y & = 12 \\3y & = -7x+12\\ y & = -\dfrac{7}{3}x+4\end{aligned}[/tex]
Now solve for [tex]x[/tex] by substitution:
[tex]\begin{aligned}y & = y\\\\\implies \dfrac{-x-30}{11} & = -\dfrac{7}{3}x+4\\\\-x-30 & = 11\left(-\dfrac{7}{3}x+4\right)\\\\-x-30 & = -\dfrac{77}{3}x+44\\\\-x+\dfrac{77}{3}x & =44+30\\\\\dfrac{74}{3}x & = 74\\\\74x & = 222\\\\x & = \dfrac{222}{74}\\\\x & =3 \end{aligned}[/tex]
(y^2 - 3y - 5) - ( -y^2-7y+4 ):
A. 2y^2 +4y - 9
B. 2 y^2 - 10y +4
C. -2 y^2 -10y - 1
D.2y^2 -7y + 1
Answer:
[tex](y {}^{2} - 3y - 5) - ( - {y}^{2} - 7y + 4) \\ {y}^{2} - 3y - 5 + {y}^{2} + 7y - 4 \\ 2 {y}^{2} + 4y - 9[/tex]
A is the correct answer
what is the second term in the sequence: 5, 10, 15, 20?
A. 5. B. 11 C. 15 D. 20
Answer:
a ............,....
Step-by-step explanation:
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