An aquarium with a square base has no top. There is a metal frame. Glass costs 8 dollars/m^2 and the frame costs 7 dollars/m. The volume is to be 20 m^3. Express the total cost C in terms of the height h in meters. (Hint: work out the cost of the glass and frame separately.)
Identify the inverse of the following statement. If x = 2, then x + 3 = 5.
a) If x + 3 = 5, then x = 2.
b) If x + 3 ≠ 5, then x ≠ 2.
c) If x ≠ 2, then x + 3 ≠mc011-4.jpg 5
d) x = 2 and x + 3 = 5.
Answer:
C
Step-by-step explanation:
The inverse of a statement "If p then q" is the statement "if ¬p then ¬q". In our case p is "x=2" and q is "x+3=5". Moreover, the negations of p and q are "[tex]x \neq 2[/tex]" and [tex]x+3 \neq 5[/tex] respectively. Then, the inverse of the original statement is
[tex]\text{if} \quad x\neq 2 \quad \text{then} \quad x+3 \neq 5[/tex]
Use a five-step plan to solve the following word problem. Show all five steps in your response:
Doug is twice Anne's age. Doug is 34 years old. How old is Anne?
Doug is twice Anne's age. Doug is 34 years old. How old is Anne?
This is more of a question about a symbol, rather than a question about a problem.
I keep seeing 7√2 and I'm just wondering if the number outside of the radical is being multiplied by the square root, or if there is a deeper meaning. I can't really explain well, but if the square root of 2 is about 1.41 then would I multiply 1.41 by 7 to get 9.87? Or..?
you are right, when you see a number like 7√2
you would multiply 7 by √2
which = 7 x 1.41 = 9.87
To the nearest hundredth, what is the distance between point (-6, -1) and point (4, 3)?
Answer:
10.77
Step-by-step explanation:
Write two decimals that have a difference of 16.825
Let
x-------> first decimal
y------> second decimal
we know that
[tex]y-x=16.825[/tex]
[tex]y=16.825+x[/tex]
Assume the value of x and find the value of y with the equation
so
For [tex]x=3.875[/tex]
Find the value of y
Substitute the value of x in the equation
[tex]y=16.825+x[/tex]
[tex]y=16.825+3.875[/tex]
[tex]y=20.700[/tex]
therefore
the answer is
The two possible decimals are
[tex]3.875[/tex]
[tex]20.700[/tex]
Rafael counted a total of 40 white cars and yellow cars. There were 9 times as many white cars as yellow cars. How many whit cars did Rafael count
yellow car = x
white cars = 9x ( 9 times as many white cars)
9x +x = 40
10x = 40
x = 40/10 =4
4 yellow cars
9*4 = 36 white cars
a farmer has 24 crates of plums ready to sell. each crate contains.208 plums. how many plums doesthe farmer have in all? use reasoning to explain how you can use estimating to check your answer.
-4(-8x-8) im using the disturbutive property
my answer: 32x--32 is that correct or is it 32x+-32
or is it something else?
what is 1 8/9 divided by 1/3
A sauce recipe uses 4 cans of tomatoes in every 212 quarts.
How many cans of tomatoes are used in each quart of the sauce?
Answer: 1 3/5.
Step-by-step explanation: It's 2 1/2 not 212.
Clea estimates that a glass contains 250.55 mL of water. The actual amount of water in the glass is 279.48 mL. To the nearest tenth of a percent, what is the percent error in Clea's estimate?
This is the call plan for Robert's cell phone:
$15 a month plus free texts plus 20 cents per minute for call time. How much is his bill if he talked 30 minutes and had 115 texts?
Question 4 options:
$6.00
$23.00
$27.00
$21.00
A local gym charges a membership fee of $20 then a monthly fee of $15. Organize the data for the cost of gym membership for a year
What percent of 600 is 12?
write an equation and solve
To solve the equation r + (-6) = -10, since -6 is being added to r, we need to subtract -6 from both sides of the equation.
It's important to understand that minus a negative means the same thing as plus a positive so we're really adding 6.
On the left side of the equation, the -6 and +6 cancel out and we have r. On the right side of the equation, -10 + 6 is -4.
So we have r = -4 which is the solution to our equation.
3 erasers cost $4.41
Witch equation will help determine the cost of 4 erasers
To determine the cost of 4 erasers, set up a proportion using the given information.
Explanation:To determine the cost of 4 erasers, we can set up a proportion using the given information. We know that 3 erasers cost $4.41, so we can write the equation:
3 erasers / $4.41 = 4 erasers / x
To solve for x, we can cross-multiply:
3 * x = 4 * $4.41
x = (4 * $4.41) / 3
Calculating this, we find that the cost of 4 erasers is $5.88. So, the equation that will help determine the cost of 4 erasers is 3 erasers / $4.41 = 4 erasers / $5.88.
The correct equation that represents this relationship and would help determine the cost of 4 erasers is:[tex]\[ \frac{4}{x} = \frac{3}{4.41} \][/tex]
The correct option is (A).
The image shows multiple choice options for equations that could be used to determine the cost of 4 erasers given that 3 erasers cost $4.41.
To find the cost of 4 erasers, we would want to set up a proportion where the number of erasers is directly proportional to the total cost. Given that 3 erasers cost $4.41, we can write this relationship as:
[tex]\[ \frac{\text{Number of erasers}}{\text{Cost}} = \frac{3}{4.41} \][/tex]
We want to find the cost for 4 erasers, so we can set up an equation with [tex]\( x \)[/tex] representing the unknown cost for 4 erasers:
[tex]\[ \frac{4}{x} = \frac{3}{4.41} \][/tex]
This equation can be solved to find \( x \), the cost for 4 erasers. We can cross multiply to solve for \( x \):
[tex]\[ 3 \times x = 4 \times 4.41 \][/tex]
[tex]\[ x = \frac{4 \times 4.41}{3} \][/tex]
Let's solve for[tex]\( x \)[/tex] to find the cost of 4 erasers.
The cost for 4 erasers, given that 3 erasers cost $4.41, would be $5.88.
The correct equation that represents this relationship and would help determine the cost of 4 erasers is:
[tex]\[ \frac{4}{x} = \frac{3}{4.41} \][/tex].
complete question given below:
Choose the correct description of the graph of the compound inequality x - 1 alt= 12 or 2x alt= 30.
Answer:
.
Which of the following is not a way to represent the solution of the inequality 2(x + 1) alt= 20?
Step-by-step explanation:
A rectangle is divided into 2 equivalent triangles.
If the area of the rectangle is 6 7/10 cm, what is the area of 1 of the triangle?
I REALLY NEED HELP
Y=-1/2x+2 whats the answer? Plz help me
A cookie recipe for three dozen Caramel peanut butter bars uses 14oz of caramel. How much caramel (to the nearest ounce) should be used to make 120 bars for a cookie exchange
To make 120 caramel peanut butter bars, using a recipe that calls for 14 ounces of caramel for 36 bars, one would need 47 ounces of caramel (rounded to the nearest ounce).
Explanation:Given that a cookie recipe for three dozen caramel peanut butter bars uses 14 ounces of caramel, we need to determine the amount of caramel needed to make 120 bars. Since three dozen bars are equal to 36 bars, we can find how many times the amount of bars in the recipe fits into the desired 120 bars count by dividing 120 by 36.
This gives us 120 / 36 = 3.33. Multiplying this factor by the amount of caramel used for 36 bars gives us the amount needed for 120 bars: 3.33 * 14 ounces = 46.62 ounces. Therefore, 47 ounces of caramel (rounding to the nearest ounce) should be used to make 120 bars for a cookie exchange.
Draw algebra tiles to model the given two step equation -3 = 5 - 4x
Find the slope of the line that passes through the points (1,-4) and (4,2)
Question 2 options:
1/2
-2
2
-2/3
Euler's formula, V – E + F = 2 relates the number of vertices V, the number of edges E, and the number of faces F of a polyhedron. How many faces does a polyhedron with 5 vertices and 8 edges have?
If the sales tax in your city is 4.4%, and an item costs
$3 before tax, how much tax would you pay on that item?
Round to the nearest hundredth or cent.
Simply take 4.4% of $3:
0.044 * 3 = 0.132
You would pay $0.13 tax on a $3 item.
solve;
5(x+1)=6.4−2.7x
3(y−1.5)=9.9–4.2y
0.9y−1.8=0.3(y−4)
Let x be the first factor in an expression in scientific notation. Describe the possible values of x.
In scientific notation, the coefficient is a number from 1 to 10 multiplied by a power of 10, which represents the number of decimal places moved to convert a number to this format.
Explanation:The first factor in an expression in scientific notation is the coefficient, which must be a number equal to or greater than 1 and less than 10. The coefficient is then multiplied by a power of 10 to represent the original number accurately.
For example, to write the number 79,345 in scientific notation, one would express it as 7.9345 × 104, because we have moved the decimal place to make 79,345 into 7.9345 while recording that we have moved the decimal place four positions to the right, hence the power of 10 being 4.
How did you get that answer? Also doesn't 80 tens equal 800
Mary purchased 4 tires by mail order. She paid $63.40 per tire plus $6.80 per tire for shipping and handling. There is no sales tax, because the tires were purchased out of state. She also had to pay $7.56 per tire for mounting and balancing. At a local store, Mary's total for the 4 tires with mounting and balancing would be $368 plus 88% sales tax. How much did Mary save by purchasing the tires through the mail?
Susan was making two types of soup. She had 1 pint 10 oz. of chicken noodle soup and 3 pints, 12 oz. of vegetable soup. How much soup did she have altogether?