Every day a zookeeper feeds 4 adult gorillas a total of 160 lb of food. At this rate HOW many pounds of food would the zookeeper need everyday to feed 6 adult gorillas
which numbers represents a repeating decimal -2/5, -7, 3/9, 11/12
plz help me on this question
grace has 2 cups of strawberries and plans to divide this amout into equal parts to make 3 strawberry pies what fracion of a cup of strawberries will be used for each pie?
power negative a b to the third power minus AC if a equals -2 and b equals 3 and C equals negative 8
[tex]\(-ab^3 - ac = 38\)[/tex].
To evaluate the expression [tex]\(-ab^3 - ac\)[/tex] given a = -2, b = 3, and c = -8, we substitute the values into the expression:
[tex]-ab^3 - ac = -(-2)(3)^3 - (-2)(-8)\\= -(-2)(27) - (16)\\= 54 - 16 \\= 38[/tex]
What is the equation of the graphed line?
enter answer in slope-intercept form in the box
Answer:
[tex]y=-\frac{9}{8}x+7[/tex]
Step-by-step explanation:
we know that
The equation of the line into slope intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-coordinate of the y-intercept
In this problem we have
[tex]b=7[/tex] ------> because the point [tex](0,7)[/tex] is the y-intercept
point [tex](8,-2)[/tex]
substitute the value of x , y and b in the equation to solve for m
[tex]y=mx+b[/tex]------> [tex]-2=m(8)+7[/tex]
[tex]m(8)=-2-7[/tex]
[tex]m=-9/8[/tex]
therefore
the equation is equal to
[tex]y=-\frac{9}{8}x+7[/tex]
Simplify fully: √18 / √8
Which statement correctly describes the relationship between the graph of f(x) and g(x)=f(x−7) ?
A. The graph of g(x) is the graph of f(x) translated 7 units left.
B. The graph of g(x) is the graph of f(x) translated 7 units up.
C. The graph of g(x) is the graph of f(x) translated 7 units right.
D. The graph of g(x) is the graph of f(x) translated 7 units down.
The statement which correctly describes the relationship between graphs related as g(x)=f(x−7) is; Choice C {The graph of g(x) is the graph of f(x) translated 7 units right}
According to the question; g(x)=f(x−7).
In essence, for every value of x on the graph (g), the value of x on the graph (f) reduces by 7.Put differently; for every value of x on the graph (f), the value of x on the graph (g) increases by 7.However, In graphs: an increase on the x axis is depicted by a movement rightward on the number line.
Therefore, if the relation g(x)=f(x−7) holds;
The graph of g(x) is the graph of f(x) translated 7 units right.
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Evaluate. (1/4)^-2 - (5^0×2)×1^-1
ms.Jackson and 3 of her friends went out for sushi. They order 6 rolls and 4 sodas. The soda is $3.75 less than the rolls. They spent a total of $70.50. What is the cost of one roll, Write and equation and solve.
I am so stuck please explain to me how to do this. If you can do this, please do!
Directions: Write each decimal as a fraction or a mixed number.
10.9
00.8
4.125
0.0075
8.016
0.055
Wilbur went to the Halloween costume party at the Teen Center dressed as Romeo. Wendy was at the same party dressed as Juliet. As fate would have it, their eyes met across the crowded room, and they instantly fell in love. (Cheesy, right?) Unfortunately, they never got to talk to each other at the party and have been trying to find each other ever since! Wilbur went back to the Teen center 2 days after Halloween and goes back there every 13th day hoping to find his Juliet. Wendy went back to the Teen Center four days after Halloween and goes back there every 17th day looking for her beloved Romeo. When will they miss each other by just one day?
When will the meet?
9n+21−3n−24 simplify
If 1 oz of potato chips contains 180 calories, how many ounces would contain 3,180 calories
In 17.66 ounces of chips, 3180 calories are there.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, 1 oz of potato chips contains 180 calories.
∴ No. of ounces of chips that contains 3180 calories can be obtained if we divide total calories by calories in 1 oz which is,
= (3180/180).
= 17.66 ounces.
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Write these portions as percents.
A) 3 tenths and 6 hundredths.
B) 8 hundredths
C) 17 hundredths
D) 11 tenths.
HURRY MATH QUESTION DOWN BELOW
5d - 1 = -11
What is d?
Rewrite as a square or a cube:
3 3/8 =_____
1 11/25=_____
Answer:
1)
3 3/8= (3/1) + (3/8)=
= (3x8)/8 + (3/8)
=(3x8 +3) / 8 putting both numbers with the same denominator
=27/8
27 is the same as 3³ 3x3x3= 27
8 is the same as 2³ 2x2x2= 8
= 3³÷ 2³
2)
1 11/25= (1/1) + (11/25)
= (25/25) + (11/25) putting both numbers with the same denominator
= (25+11)/25
=36/25
36 is the same as 6² 6x6=36
25 is the same as 5² 5x5=25
6²/5²
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Step-by-step explanation:
A gift box in the shape of a cube has a volume of 216 cm3 . What is the area of the base of the box
The area of the base of a cube with a volume of 216 cm³ is 36 cm², obtained by first calculating the side length as the cube root of the volume and then squaring that length.
The volume of a cube is calculated by raising the length of one of its sides to the third power (Volume = s³), where s is the length of a side. Given that the volume of the gift box is 216 cm³, we can find the length of a side by taking the cube root of the volume. The cube root of 216 cm³ is 6 cm, which is the length of each side of the box.
Since the base of the cube is a square, the area of the base is simply the length of a side squared (Base Area = s²). Hence, the area of the base of the box is 6 cm × 6 cm, which equals 36 cm².
A weight of 15 ounces stretches a spring 10 inches. A weight of 24 ounces stretches the same spring 16 inches. How many inches does the spring stretch per ounce of additional weight?
The spring stretch 0.6 inches per ounce of additional weight.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, A weight of 15 ounces stretches a spring 10 inches.
∴ Inches increase of the spring per ounce of weight is the total increase in length divided by the total weight,
= (10/15) inches.
= 0.6 inches of increase in length per ounce.
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help me please,it will be greatly appreciated
A bar of copper has a mass of 216 g and a volume of 24 cm. what is the density of copper
The density of copper bar is 9g/cm³
Given that :
Mass of copper bar = 216 g
Volume = 24 cm
Density of copper will be :
Recall :
Density = Mass / Volume
Density = 216 g / 24 cm³
Hence, Density of copper bar = 9 g/cm³
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Complete the table. Find the missing amounts of weight by applying the same value of the ratio as the first two rows.
George ran 1.1 miles, took a break, and then ran 2.1 more miles. How many meters did George run in all?
the quotient of eight and a number h is written as
8x+4(x-1) simplify the following expression
Given f(x)= -4x+7, find f(1)
log4 (x - 7) = 3
solve for x
What does 5/9-2/3x(-1/4)=
Emily has 300 books if Frank were to double the number of books that he now owns he would still have fewer than Emily has
Frank's current number of books, 'b', satisfies the inequality 2b ≤ 300, and hence, the maximum value for 'b' is 150.
1. Let's assume Frank currently owns 'b' books.
2. According to the given information, if Frank were to double the number of books he now owns, he would still have fewer books than Emily.
3. We know that Emily has 300 books. So, the inequality representing the given information is 2b ≤ 300.
4. To find the maximum value for 'b', we need to solve this inequality.
5. Dividing both sides of the inequality by 2, we get b ≤ 150.
6. This means Frank can own a maximum of 150 books in order to maintain a smaller collection than Emily's 300 books.
The detailed mathematical sentence representing this information is: Frank's current number of books, 'b', satisfies the inequality 2b ≤ 300, and hence, the maximum value for 'b' is 150.
Complete question:
Write a mathematical sentence that expresses the information given below. Use bas your variable name. If necessary: type < = to means or > = to mean . If you need to show multiplication, do not use the letter x. Use the asterisk (*) symbol instead, or simplify your answer. Emily has 300 books. If Frank were to double the number of books that he now owns, he would still have fewer than Emily has.