Answer:
[tex]\frac{13}{20} < \frac{7}{10}[/tex]
Step-by-step explanation:
[tex]\frac{13}{20} \ and \ \frac{7}{10}[/tex]
Now we compare both the fractions
To compare both the fractions, we make the denominators same
LCD is 20
To make the denominators same we multiply the denominator of second fraction by 2
[tex]\frac{7 \cdot 2}{10 \cdot 2}[/tex]
[tex]\frac{14}{20}[/tex]
[tex]\frac{13}{20}[/tex] and [tex]\frac{14}{20}[/tex]
13/20 is smaller than 14/20
[tex]\frac{13}{20} < \frac{14}{20}[/tex]
Y + z — 2y
If y=4 and z= 2
(Simplify)
Two trains leave the same station at the same time, but are headed in opposite directions. One train travels at 50 miles per hour and the other train travels at 60 miles per hour. How much time passes until the trains are 660 miles apart?
A certain recipe calls for 2/3 cup of flour. A chef is making an amount that is 3/7 of the recipe . How much should flour should the chef use?
What is 8.478 in expanded form
You have $37 to spend at the music store. Each cassette tape costs $10 and each CD costs $13. Write a linear inequality that represents this situation. Let x represent the number of tapes and y the number of CDs.
Simplify
19 - 1.67 + (-2.4)
The graph of g(x) = (1/2)x is the graph of f(x) = 2x reflected over the y-axis. Which graph represents g(x)?
Answer:
The answer is option two on the quiz. The graph is asking us to reflect the given graph over the y-axis. Therefore, the only one that matches is the second option. The graph that passes through (0,1), (-1,2), and (0,5)
Find the sum of 5m + 3n + p, -5p + 3n, and 2n - m.
Answer:
4m+8n -4p
Step-by-step explanation:
hello
you can just sum like a normal addition, just put similar terms on each other
5m + 3n +p
+3n -5p (second expression)
-m +2n ( third expression)
_____________
(5-1)m (3+3+2)n+(1-5)p = 4m+8n -4p
I hope it helps you
Have a great day
How do the number line graphs of the solutions sets of mc011-1.jpg and mc011-2.jpg differ? One graph uses an open circle, but the other graph uses a closed circle. Also, the rays use arrows that point in opposite directions, but they have the same endpoint. They use arrows that point in opposite directions, the rays have different endpoints, and both graphs use open circles. One graph uses an open circle, but the other graph uses a closed circle. Also, the rays have different endpoints, but they use arrows that point in the same direction. They use arrows that point in opposite directions, the rays have different endpoints, and both graphs use closed circles
Answer:A. One graph uses an open circle, but the other graph uses a closed circle. Also, the rays use arrows that point in opposite directions, but they have the same endpoint.
805 tens in standard form
Are all whole numbers integers? Please Explain.
Given that f(x)= x2+3 and g(x)= x+4/3 solve for (f(g(x)) when x =2
Tatiana wants to give friendship bracelets to her 32 classmates. She already has 5 bracelets, and she can buy more bracelets in packages of 4.
i dont know but good luck son
Earth travels about 10^9 kilometers in its year-long orbit around the sun. About how far does it travel in 100 years?
100 = 10^2
so 10^9 * 10^2 = 10^11 kilometers in 100 years
There is an alien machine which produces seven aliens every two seconds. At this rate how many aliens will produces in one hour?
Jeff prepares meals in the home of his customers. His fixed cost for transportation and supplies is $14.50. The labor and groceries needed for each family meal is $8.80, so the expense function is E=5.7q+8.8. T or F
Answer:
The given equation is false
Step-by-step explanation:
Given equation : E= 5.7q+8.8
To show : It is true or false
Solution : Cost of transportation and supplies is fixed = $14.50
Cost of labor and groceries for each family meal =$8.80
Let x is the number of meals
so, according to the question Expense function for x number of meals is
Expense function = x(cost of labor and groceries for 1 family meal)+ cost of transportation and supplies(fixed)
E= 8.80x+14.50 which is the required equation.
Therefore, given equation is false.
Write a number sentence that demonstrates each property.
Commutative property of addition
Associative property of addition
Identity property of addition
Answer:
a + b = b + a
(a + b) + c = c + (b + a)
0 + a = a
I hope this helps, have an amazing day!
Order square root of three, 2pi, and 1.5 from least to greatest
Drag the correct tiles that match.?
A square pyramid has a height h and a base with side length b. The side lengths of the base increase by 50%. Write a simplified expression that represents the volume of the new pyramid in terms of b and h.
Final answer:
The volume of the new pyramid, after a 50% increase in base side length, is expressed as V = 0.75b²h. This comes from applying the formula for the volume of a square pyramid and substituting the new base length of 1.5b into the formula.
Explanation:
The student is asked to write a simplified expression for the volume of a new pyramid after the side lengths of the base increase by 50%. The formula for the volume of a square pyramid with a base side length b and height h is V = (1/3)b²h.
When the side lengths of the base increase by 50%, the new base side length becomes 1.5b. Plugging this into the volume formula, we have:
V' = (1/3)(1.5b)²h
= (1/3)(2.25b²)h
= (2.25/3)b²h
= 0.75b²h
This is the simplified expression for the volume of the pyramid after the increase in base side length.
The volume of the new pyramid is [tex]\(0.75b^2h\), where \(b\)[/tex] is the base side length and [tex]\(h\)[/tex] is the height.
To find the volume of a square pyramid, we use the formula:
[tex]\[ V = \frac{1}{3} \times (\text{area of base}) \times \text{height} \][/tex]
For a square pyramid, the area of the base is [tex]\( b^2 \), where \( b \)[/tex] is the side length of the base.
So, the volume [tex]\( V \)[/tex] of the original pyramid can be written as:
[tex]\[ V = \frac{1}{3} \times b^2 \times h \][/tex]
Now, if the side lengths of the base increase by 50%, the new side length of the base becomes [tex]\( 1.5b \)[/tex] (since increasing by 50% is the same as multiplying by [tex]\( 1.5 \))[/tex].
Therefore, the new area of the base is [tex]\( (1.5b)^2 = 2.25b^2 \).[/tex]
So, the volume \( V' \) of the new pyramid can be written as:
[tex]\[ V' = \frac{1}{3} \times (2.25b^2) \times h \][/tex]
[tex]\[ V' = \frac{2.25}{3} \times b^2 \times h \][/tex]
[tex]\[ V' = 0.75 \times b^2 \times h \][/tex]
So, the simplified expression representing the volume of the new pyramid in terms of [tex]\( b \) and \( h \) is \( 0.75b^2h \)[/tex].
A one-minute advertisement on a local television station during prime time (8-10p.m.) costs the advertiser $12,800. To the nearest cent, how much does the advertisement cost per second? Show your work using dimensional analysis.
Answer to both of these?
Imagine a model shaded to show 0.001 How much would be shaded?
A model being 0.001 shaded would be 0.1% or 1/1000 of the whole model.
How to identify the place value of a digit in a number?The place values on left of decimal point start as ones, tens, hundreds, and so on.....
The place value on right of decimal point starts from point and goes to right as tenths, hundreths and so on....
The tens means multiply by 10..
The tenth means tenth part of that digit which is that digit divided by 10...
A model being 0.001 shaded would be 0.1% or 1/1000 of the whole model.
One would equal the whole model being shaded, but that’s not the case. Instead it is in the thousandths,
So, that’s 1/1000 or 0.1% of the whole model shaded.
Therefore, A model being 0.001 shaded would be 0.1% or 1/1000 of the whole model.
Learn more about place value here:
brainly.com/question/17983725
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Find the length of l on the curve r(t)=5cos(3t)i-5sin(3t)j+3tk over the interval [3,7]
To find the length of the curve, use the formula for arc length and integrate over the given interval. The integrals can be calculated using the derivatives of the curve's components.
Explanation:To find the length of the curve, we need to calculate the arc length. The formula for arc length is given by:
L = ∫√(dx/dt)² + (dy/dt)² + (dz/dt)² dt
In this case, dx/dt = -15sin(3t), dy/dt = -15cos(3t), and dz/dt = 3. We can use these formulas to calculate the integrals over the interval [3, 7] and find the length of the curve.
a plane flies 1440 miles at a speed of 240mph how long does it take
A pair of fair dice is rolled.
a. What is the probability of rolling a sum of 9?
b. What are the odds against rolling a sum of 9?
X-3)4x^2+3x+2 what is the quotient?
Answer:
4x+15
Step-by-step explanation:
Given : Divisor = [tex]x-3[/tex]
Dividend = [tex]4x^2+3x+2[/tex]
To Find : Quotient
Solution:
[tex]Dividend = (Divisor \times Quotient) + Remainder[/tex]
[tex]4x^2+3x+2 = (x-3 \times 4x) +(15x+2)[/tex]
[tex]4x^2+3x+2 = (x-3 \times 4x+15) +(47)[/tex]
So, The quotient is 4x+15
Hence The quotient of the given expression is 4x+15
Answer: A
Step-by-step explanation:
twelve is six times the difference between a number and three. find the number.
An equation of the form ax+b=0 is called a __________ equation or a ________________ equation.
Answer:
Sloose intercept or a strait line
Step-by-step explanation:
The length and width of a rectangle whose length is 8 centimeters more than its width