Answer:
[tex]6\frac{2}{3}[/tex]
Step-by-step explanation:
Candy buys 20 ounces of mixed nuts.
She puts an equal number of ounces in each 3 bags.
In each bag she can put = [tex]\frac{20}{3}[/tex]
= [tex]6\frac{2}{3}[/tex]
She can put [tex]6\frac{2}{3}[/tex] ounces of nuts in each bag.
A photocopy clerk copies 80 pages in 4 min. How much time will he take to copy 200 pages?
Use the simple interest formula to find the ending balance.
$1500 at 7% for 1.5 years. 13 points
Mixed multiplication problems.PLEASE SHOW THE WORK THANKS
Please Help Fast!!
Only answer if you are positive you know the answer, and explain why you choose that answer.
Solve for X.
X^3=1/27, or it could be worded as, X to the third power = 1 over 27
23 decreased by the product of 44 and an unknown number is 199. What is the value of the unknown number.?
To estimate the height of a mountain above a level plain, the angle of elevation to the top of the mountain is measured to be 32°. One thousand feet closer to the mountain along the plain, it is found that the angle of elevation is 35°. Estimate the height of the mountain.
To estimate the height of a mountain using angles of elevation from two points, set up a system of trigonometric equations based on right triangles and solve for the height using algebra.
To estimate the height of a mountain given two angles of elevation at different points, we use trigonometric concepts. At the first point, the angle of elevation is 32°, and at a point 1000 feet closer, the angle is 35°. To solve this, we can set up two right triangles that share the same height (the mountain) but have different base lengths. Denote the height of the mountain as h, the distance from the first observation point to the base of the mountain as d, and use the trigonometric tangent function:
Tan(32°) = h / d
Tan(35°) = h / (d - 1000)
This creates a system of two equations with two variables. We solve for h by manipulating the equations to isolate h and substituting into one of the equations. We can use trigonometric tables or a calculator to find the values for Tan(32°) and Tan(35°), and then solve for the distance d, which subsequently allows us to find the height h by simple algebraic rearrangement.
you and four friends go to johnny rockets. you all split the bill equally. each person share was $6.50. how much was the original bill. let a represent the amount of the original bill
The amount of the original bill at johnny rockets was $32.50.
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
Let a represent the total bill.
You and four friends split the bill equally. each person share was $6.50. Hence:
a / 5 = 6.50
a = 32.5
The amount of the original bill at johnny rockets was $32.50.
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Find the distance, to the nearest tenth, from T(6,-5) to V(-2,6).
A.) 1.7 units
B.) 3.0 units
C.) 8.3 units
D.) 13.6 units
The cost of a barrel of oil has recently increased by 20% and is now selling for $72.00. How much was the barrel of oil before the increase?
Answer:
[tex]\$60[/tex]
Step-by-step explanation:
Let
x------> the cost of the barrel of oil before the increase
we know that
[tex]100\%+20\%=120\%[/tex]
[tex]120\%=\frac{120}{100} =1.2[/tex]
so
[tex]1.2x=72[/tex]
Solve for x
[tex]x=72/1.2=\$60[/tex]
f(x)=-2x^4+13x^3-25x^2+8x+12
Am I doing this right?
16,14=4
15,35=5
24,32=4
27,63=9
20,80=20
18,38=2
14,49=7
66,99=33
9,35=1
6,24,42=6
30,50,70=10
32,48,96=12
10w,5w=5
16xy,24xy=8
21ab,35a=7
10jk,15k=5
3mn,9mn,12mn=3
6xy,9x,3y=3
A forest ranger can see a distance of 12 miles from a fire tower how many square miles can he see
The function f (x) varies directly with x and f (x) =90 when x=30
what is f (x) when x=6
2
5
15
18
which division expression is equivalent to 4 1/3 ÷ -5/6
[tex]4\dfrac{1}{3}\div\left(-\dfrac{5}{6}\right)\qquad(*)\\\\\text{Convert the mixed number to the improper fraction:}\\\\4\dfrac{1}{3}=\dfrac{4\cdot3+1}{3}=\dfrac{12+1}{3}=\dfrac{13}{3}\\\\(*)=\dfrac{13}{3}\div\left(-\dfrac{5}{6}\right)\\\\\text{By dividing by a fraction, we multiply by its reciprocal.}\\\\=\dfrac{13}{3}\cdot\left(-\dfrac{6}{5}\right)\qquad\text{simplify}\\\\=\dfrac{13}{3\!\!\!\!\diagup_1}\cdot\left(-\dfrac{6\!\!\!\!\diagup^2}{5}\right)=-\dfrac{13\cdot2}{1\cdot5}=-\dfrac{26}{5}=-\dfrac{25+1}{5}=-5\dfrac{1}{5}[/tex]
Answer:
the answer is 13/3 ÷ ( - 5/6 ) my luv :)
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Step-by-step explanation:
I need lots of help and I really need it
A local college recently reported that enrollment increased to 108% percent of last year. If enrollment last year was at 17,113, about how many students enrolled this year? Round to the nearest whole number. please help!!
evaluate 16/6 - 2/9
4 2/3
1 5/9
2 2/3
2 4/9
The distance between R and T on the coordinate grid is ___ units. (Input whole numbers only.)
Image of a coordinate grid with point R R located at negative 30, 10 and point T located at 15, 10.
the distance between the R and the T is
4 units
A tape costs $4 less than the CD. Okasha bought 1 CD in five tapes. If the total cost was $70 what was the price of the CD ?
Jacob put 2/18 tablespoons of oil into the bowl. Then he put 1 2/8 tablespoons of milk into the bowl. How much liquid did Jacob put into the bowl?
jason bought 5 movie tickets and a bag of popcorn. Jeremy bought 2 movie tickets. They spend $54 total. If the popcorn cost $5 how much did each movie ticket cost?
Describe the similarities and differences between a rhombus, square , and rectangle.
Any of these will help???? Please help me
A builder uses squares to lay out various projects. Write two equations. The first equation should express the area of the square (a) as a function of the length (l) of a side. The second should express the volume of a cube (v) as a function of the length (s) of a side.
Answer:
The area of the square:
a = l²
The volume of a cube:
v = s³
What polynomial has roots of −6, 1, and 4?
The answer is c.
If you have a root (a), it can also be written as (x-a).
(x+6),(x-1),(x-4)
Multiply all of them together to get the equation
(x+6)(x-1)(x-4)=
(x2-x+6x-6)(x-4)=
(x2+5x-6)(x-4)=
(x3+5x2-6x-4x2-20x+24)=
x3+x2-26x+24
To find a polynomial with given roots −6, 1, and 4, we create factors (x + 6), (x - 1), and (x - 4). Multiplying these factors, we get the polynomial x3 - 5x2 - 21x + 24.
Finding the Polynomial with Given Roots
To find a polynomial with roots of −6, 1, and 4, we need to create factors that each set to zero at these roots. A polynomial is a product of its factors, and a root is a solution to the equation where the polynomial is equal to zero. The factors corresponding to the roots −6, 1, and 4 are (x + 6), (x - 1), and (x - 4) respectively. Multiplying these factors gives us the polynomial:
(x + 6)(x - 1)(x - 4) = x3 - (1 + 4)x2 + (4 - 1 - 24)x + (6 x 1 x 4)
Let's expand and simplify:
x3 - 5x2 - 21x + 24
Therefore, the polynomial with roots of
−6, 1, and 4 is x3 - 5x2 - 21x + 24.
An apartment has
972
square feet of carpeting. How much is this in square meters? Use the following conversion:
1
square meter is
10.8
square feet.
If an apartment has 972 square feet of carpeting then from conversion we can say that it has 90 square meters.
What is conversion?Conversion is basically converting one unit to another because there are different quantities expressed in different units. Like in one kilogram there are 1000 grams, etc.
How to convert units?We have been given that an apartment has 972 square feet of carpeting and we are required to convert these 972 square units into square meters. We have been given that 1 square meter is equal to 10.8 square feet.
972 square feet=972/10.8
=90 square meters.
Hence if an apartment has 972 square feet of carpeting then from conversion we can say that it has 90 square meters.
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Solve. (–12.7) ∙ 3.8 ∙ (–7.2) = x ∙ (3.8) ∙ (–12.7) A. –12.7 B. –7.2 C. 1 D. 3.8
math question down below
The twenty-six coins are all dollars and quarters, and they add up to seventeen dollars in value. How many dollars and how many quarters are there?
d +q = 26
d=26-q
1d +0.25q = 17
1(26-q) +0.25q = 17
26 -q +0.25q = 17
26-0.75q = 17
-0.75q = -9
q = -9 / -0.75 = 12
12 quarters and 14 dollars
check 12 * 0.25 = 3
3+14 = 17
One foot is equivalent to 30.48 centimeters . Write this value as a mixed number in simplest form. PLEASE HELP!!!