Answer:
5.9 kg
Step-by-step explanation:
Remember! To find the average of things, you add them al up and divide by how many things there are. This is an important detail that will help us solve the problem
It says the average is 5.2
This means ...
( weight of cat 1 + cat 2 + cat 3 + cat 4 + cat 5 ) ÷ 5 = 5.2
Let's plug in all of the values we know to find the weight of cat 5
( 5.4 + 5 + 4.8 + 4.9 + CAT 5 ) ÷ 5 = 5.2
Let's add all of this up and solve this!
( 20.1 + CAT 5 ) ÷ 5 = 5.2
multiply 5 by both sides so we can get the weight of cat 5 alone
20.1 + CAT 5 = 26
subtract
CAT 5 = 26 - 20.1
CAT 5 = 5.9
the weight of cat 5 is 5.9 kg
Find the sum of all the natural numbers from 1 and 400, inclusive, that are not divisible by 11.
Answer: 72874
Step-by-step explanation:
To solve this, you can first find the sum of all numbers from 1 to 400. Using the formula for arithmetic series, you can get 1+2+3+4...+400=80200. Then, you can subtract all multiples of 11 from 1 to 400. That is 11+22+33+44+...+396. Dividing all numbers by 11, we have the new arithmetic series 1+2+3+4..+36, which using the formula, equals 666. Multiply this by 11 to get 7326 and subtract from 80200 to get 72874.
What is the difference between a ratio and its related rate and unit rate?
Answer:
The difference between a rate and a unit rate is that a rate is a ratio between two different units of measure. In comparison, a unit rate is a ratio between two different units of measure for a single thing. I hope this helps! :)
Step-by-step explanation:
Answer: a ratio consists of two numbers such as 10:5 while a unit rate is the rate that something is going at
Step-by-step explanation:
The product of 6, and a number increased by 2, is -24. What is the number?
Answer:
-30
Step-by-step explanation:
(x+2)+6=-24
(-30)+2)+6= -24
-28+6= -24
-24=-24
Answer: -10
Step-by-step explanation:
How do the expressions 2q^2-3p and 2(p+q)/q Compare when p=8 and q=4?
Answer with a symbol :)
Answer:
2q^2-3p > 2(p+q)/q
Step-by-step explanation:
You want to compare 2q^2-3p and 2(p+q)/q when (p, q) = (8, 4).
EvaluationTo find the value of the expression, put the numbers in place of the corresponding variables, and do the arithmetic.
2q^2 -3p
2(4)^2 -3(8) = 2(16) -3(8) = 32 -24 = 8
2(p+q)/q2(8+4)/4 = 2(12)/4 = 24/4 = 6
The first expression is greater than (>) the second expression.
Write the system of equations in Slope-Intercept Form from the graph below.
Answer:
y > -2x +3 . . . . line Ay ≤ x . . . . . . . . line BStep-by-step explanation:
You want the equations for the inequalities shown on the graph.
Line AThe downward sloping dashed line crosses the y-axis at y=3. It has a "rise" of -2 units for each 1 unit to the right. Its slope is rise/run = -2/1 = -2.
The equation for this boundary line can be written ...
y = -2x +3
The graph is shaded above this line, which is not included in the solution. The inequality graphed is ...
y > -2x +3
Line BThe upward sloping solid line crosses the y-axis at y=0 and has a rise of 1 for each run of 1 unit to the right. Its slope is 1/1 = 1, and its y-intercept is 0.
The equation for the boundary line can be written ...
y = 1x +0
The graph is shaded below the solid boundary line, so the boundary is included in the solution. The inequality graphed is ...
y ≤ x
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What is 2 by the power of 3
A. 6
B. 8
C. 200
D. 400
E. 490