Answer:
A
Step-by-step explanation:
which statement uses words to represent 5+8×3-2
Answer:
A
Step-by-step explanation:
You should always multiply before adding or subtracting. By saying "a product of 8 and 3," it means we multiplied them together first.
You should then add and subtract in the order in which they appear. Saying "five more" before "minus 2" means we did it in the right order.
Under his cell phone plan, Adrian pays a flat cost of $59.50 per month and $5 per gigabyte. He wants to keep his bill under $70 per month. Write and solve an inequality which can be used to determine x x, the number of gigabytes Adrian can use while staying within his budget.
The cell phone plan is an illustration of a linear inequality
Adrian gigabyte usage must be less than 2.1 to spend under $70.
How to determine the number of gigabytes within budget?The given parameters are:
Base cost = $59.50
Rate = $5 per gigabyte
Let the number of gigabyte be x.
So, the total amount is:
Total = 59.50 + 5x
Adrian wants to spend under $70.
So, we have:
59.50 + 5x < 70
Evaluate the like terms
5x < 10.5
Divide both sides by 5
x < 2.1
Hence, the number of gigabyte must be less than 2.1
Read more about linear inequalities at:
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HCF or LCM
294 blue smarties, 252 pink smarties, and 210 yellow smarties are shared equally among some students with none left over. What is the largest possible number of students?
In a number of identical boxes of chocolates, there are 90 dark ginger, 198 white, and 126 hazelnut. What is the largest possible number of boxes of chocolates?
HCF for both I believe!
Please help pleeaassee!! >_<.
Answer:
Slope intercept form does not dictate whether or not a function is linear. What determines if a function is linear is if there is one independent variable, one dependent variable, and it makes a STRAIGHT line. This function is linear because there are only 2 variables and a horizontal line.
Levi could have determined that the graph was linear by checking the conditions stated above or graphing it out. Then, he would see that y = 2 is a straight horizontal line with an independent and dependent variable.
Hope this helps!
The cost to mail a package is $8 for the first 4 pounds and 25 cents for each additional ounce. Which of the following functions represents the cost to mail a package if x is the number of ounces over 4 pounds?
f( x) = 32 + 0.25 x
f( x) = 0.25( x + 4)
f( x) = 0.25+ 8 x
f( x) = 8 + 0.25 x
Answer:
f(x) = 8 + 0.25x
Step-by-step explanation:
The minimum cost is $8, for up to 4 pounds.
The added cost is ($0.25/oz)(x), where x is trhe ounces over 4 pounds
The total cost is the sum of these two:
f(x) = 8 + 0.25x
Aiko types at a rate of 50 words per minute.
After typing at the same rate for 3 minutes, he has typed a total of 150
words.
This situation can be represented with a linear equation written in point- slope form, where x represents the number of minutes and y represents the number of words.
Use this information to complete each statement about the linear equation.
Answer:
Slope: 50x
One point will be: (1,50)
Equation: y = 50x
Step-by-step explanation:
Answer:
The slope of the linear equation is *50
One point on the graph of the linear equation will be *(3, 150)
This linear equation can be written as *y – 150 = 50(x – 3)
Step-by-step explanation:
ttm
Cedar Point amusement park has some of the tallest roller coasters in the United States. The Mantis is 165 feet shorter than the Millennium Force.
Write and solve an equation that can be used to find the height x of the Mantis.
The function f(x) = x2 6x 3 is transformed such that g(x) = f(x − 2). find the vertex of g(x). (−1, −8) (−3, −4) (−1, −6) (−5, −6)
Answer: (-1,-6)
Step-by-step explanation:
x^2+6x+3
g(x) = f(x-2)
replace all value of x in the f(x) function to (x-2)
(x-2)^2 + 6(x-2) + 34
(x-2)(x-2) + 6(x-2) + 34
expand through FOIL and distribution
x^2-4x+4+6x-12+3
combine like terms
x^2+2x-5
-b/2a = x value of vertex
-2/2(1) = x value
x value = -1
plug in -1 for all values of x in the g(x) equation to solve for y value
(-1)^2+2(-1)-5
1-2-5 = -6
y = -6
x = -1
(x,y) = (-1,-6)
The vertex of the considered function g(x) = f(x − 2) is given by: Option c: (-1,-6)
What is vertex form of a quadratic equation?If a quadratic equation is written in the form
[tex]y=a(x-h)^2 + k[/tex]
then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)
This point (h,k) is called the vertex of the parabola that quadratic equation represents.
How to convert the given equation to vertex form?We first take out coefficient of x squared, and then inside the bracket, we try to make perfect square like situation.
So, we're given that:
[tex]f(x) = x^2 + 6x + 3[/tex][tex]g(x) = f(x-2)[/tex]Thus, we get:
[tex]g(x) = f(x-2) \\g(x) = (x-2)^2 + 6(x-2) + 3 \\g(x) = x^2 -4x + 4 + 6x - 12+3\\ g(x) = x^2 + 2x -5[/tex]
Converting g(x) to vertex form:
[tex]g(x) = x^2 + 2x - 5\\g(x) = x^2 + 2x + 1 - 1 -5\\g(x) = (x+1)^2 -9\\g(x) = (x - (-1) )^2 -6\\g(x) = (x-(-1))^2 + (-6)[/tex]
Comparing this with [tex]a(x-h)^2 + k[/tex], we get (h,k) = (-1,-6) as the coordinate of the vertex of the graph of g(x), as shown below.
Thus, the vertex of the considered function g(x) = f(x − 2) is given by: Option c: (-1,-6)
Learn more about vertex form of a quadratic equation here:
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Bella baked a two layer cake.The bottom layer has dimensions of 4 inch x 6inch x 8inch.The dimensions of the top layer are half bottom.What is the volume of the top layer.
Answer:
30 is the answer because you need to multiple 4 and 6
10)Find the mean of the following data?
0 1 2 3 4 5 6 7
Answer:
3.5
Step-by-step explanation:
The mean, or average, is calculated by adding up the scores and dividing the total by the number of scores
How many like terms are in the expression a3+3a2b-4ab-11b+7
Answer:
There are five terms.
Terms in an expression contains variables and numbers. They are separated by any operators like addition and subtraction.
In this expression the terms are:
a^3, 3a^2b , -4ab, -11b and 7
As you can see, there are five terms in the expression
PLS HELP
1.
Seats in a theater are curved from the front row to the back. The front row has 18 chairs, the second has 26
and the third has 34, and so on.
a.
Write a recursive rule for this series (2 points):
b. Write an explicit rule in simplified form for this series:
Show the steps to simplify. (2 points)
c. Using the explicit formula, find the number of chairs in row 7 (show work) (3 points):
on Voy bob ochote
bu ma'isto
d. The auditorium can hold 12 rows of chairs. Write a sigma notation for this series, and then use either series
formulas to calculate how many chairs can fit in the auditorium. Show all work. (5 points)
The chairs in the auditorium illustrates an arithmetic sequence
The recursive rule is: an = an-1 + 8; a1 = 26The explicit rule is: an = 18 + 8nThere are 74 seats in the 7th row840 chairs can fit the auditoriumThe recursive ruleFrom the question, we have the following sequence:
Seats: 18, 26, 34
Rewrite as:
26 = 18 + 8
34 = 26 + 8
The above means that:
The number of seats on a row is 8 added to the the number of seats on the previous row.
Hence, the recursive rule is:
an = an-1 + 8; a1 = 26
The explicit ruleIn (a), we have:
a1 = 26 and d = 8
The explicit rule is calculated using:
an = a1 + (n -1) * d
This gives
an = 26 + (n - 1) * 8
Expand
an = 26 - 8 + 8n
Evaluate the difference
an = 18 + 8n
Hence, the explicit rule is:
an = 18 + 8n
The number of seats in the row 7This means that n = 7.
So, we have:
a7 = 18 + 8 * 7 = 74
Hence, there are 74 seats in the 7th row
The sigma notationWe have the maximum number of rows to be 12.
So, the sigma notation would be:
[tex]\sum\limits^{12}_{n=1} {18 + 8n}[/tex]
The total number of seats is:
Sn = n/2(2a + (n -1) * d)
This gives
S12 = 12/2(2 * 26 + (12 -1) * 8)
S12 = 840
Hence, 840 chairs can fit the auditorium
Read more about arithmetic sequence at:
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I need real answers not links
Without going too much into the proofs angle ACD is congruent to angle DBA.
If ACD is ~= DBA then
ACD = 54 degrees
Explanation:
The figure is a reflection. While orientation isnt preserved in reflections side lengths and angle measures are.
This means that both triangles have the same side length measures and have the same angle measures.
You are given the angle measures of one of the triangles. We also know both triangles are congruent since they both fit perfectly inscribed in the circle.
With this in mind you can prove that all the angles of each triangle are congruent.
Thus
ACD = 54 degrees
What is the volume of this triangular prism?
Answer:
The volume is 288 ft^3
Answer:
288
Step-by-step explanation:
The formula for finding the volume is to find the side and then multiplying it by the width. (half of the base times length times width) So, you first find the area of the triangle.
9x4=36, 36/2=18.
Then, 16x18=288.
(4x - 3)
Find the value of 'x'.
(2x + 9)
A. 53
B. 14
C. 16
D. 37
Answer:
please the question is not clear
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
By using the Pythagorean Theorem, we will see that the length of the missing side is 4 units.
How to find the length of the third side?
We need to remember the Pythagorean Theorem, the sum of the squares of the cathetus is equal to the square of the hypotenuse.
In this case, the cathetus are x and 3, and the hypotenuse is 5, then we have:
x^2 + 3^2 = 5^2
x^2 = 25 - 9 = 16
x = √16 = 4
So the length of the missing side is 4 units.
If you want to learn more about right triangles, you can read:
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Does anyone know the awnser to this problem?
x y
1 16
2 12
3 8
5 0
Step-by-step explanation:
you have to substitute ever number on the X side in the equation to get the Y
for example 1 is under x so you will take
y=20-4(1)
y=20-4
y=16
I need help with this
Answer:
75%
Step-by-step explanation:
It's over 50% and it's definitely not 100%
What is the value of y in the equation 6 + y = −3? (1 point) Group of answer choices −3 −9 3 9
Answer:
y= -9
Step-by-step explanation:
y+6=-3
subtract 6 from both sides
y=-9
y=-9
Solution:First, subtract 6 from both sides.6+y=-3Ory+6=-3Why subtract? Because 6 is added to y, and we need to use the opposite operation. Remember, our goal is to find the value of y.Subtract:y=-3-6y=-9We have found the value of y; it's equivalent to -9.Hope it helps.
Do comment if you have any query.
please help i need help
Answer:
the answer is 14
Step-by-step explanation:
so first you subtract 8- 2 over 2 then =1 over 8 then subract 2 over 2
8 x 2 - 2 = 16 - 2 = 14 = 2 x 7 = 7
1 x 2 - 2 = 2 = 2 = 2 x 1
then 1 x 2 = 2 = 7 over 1 next add 21 over 3 + 7 = 21 over 3 + 7 over 1 = 21 over 3 + 21 over 3 = 21 +21 over 3 = 42 over 3 = 3 X 14 over 3 x 1 = 14
hope this helps you have a good day
I need help I have 1 hour left to do it, it’s French math so I need a bit of help
9/3 = ?
Answer:
3
Step-by-step explanation:
9/3 = 3
Answer:
The answer is 3.
Because 3x3 = 9
and 9 divided by 3 equals 3
Evaluate the expression y-3+2 when x = 6 and y=8
Answer:
7
Step-by-step explanation:
Hey there!
In order to answer this question you need to substitute the "y-value"
As you can see, y=8 and we need to put 8 where there is y
8-3+2 is what the equation will look like
Now we can simplify
8-3 is 5 and 5+2 is 7
So your answer is 7
What is the multiplier for a 58% decrease
Answer:
A. 0.58
Step-by-step explanation:
Convert 5 yards 2 feet to inches. 5 yd 2 ft = ______ in. *
Answer:
204 inches
Step-by-step explanation:
First, change the 5yd2ft to be just feet.
1 yard = 3 feet
5 yd × 3ft/yd = 15 ft
15 ft + 2ft = 17ft
Next, change to inches.
1 ft = 12 inches
17ft × 12in/ft = 204 in
5 yds 2 ft = 204 in
Answer:
204 inch-
Step-by-step explanation:
1: change the 5yard 2ft to be just feet.
1 yrd = 3 feet
5 yrds × 3ft/yd = 15 ft
15 ft + 2ft = 17ft
2: change to inches.
1 ft = 12 inch
17ft × 12in/ft = 204 in
5 yards 2 ft = 204 in
~Jax~
You send an email with a file size of 4 kilobytes. one kilobyte is 2-0 bytes. what is the file size of your email in bytes? write your answer as a power.
The file size sent in kilobytes was converted to bytes, the 4 kilobytes is equivalent to 80 bytes
Unit ConversionGiven Data
File Size = 4 kilobytesWe are told that 1 kilobytes = is equivalent to 20 bytes
hence 4 kilobytes will be equivalent to x bytes
cross multiplying we have
4*20 = x
x = 80 bytes
Therefore, the file size is 80 bytes
Learn more about unit conversion here:
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A=2.3,b=3.9,c=5,9 I do not know how to do this
Answer:
put the cords on a chart
Step-by-step explanation:
helppp please been stuck for so long
Answer:
Floating point(Decimal) is 0.1
Fraction is [tex]\frac{1}{10}[/tex]
This is because...10^-1 is going to be 0.1 in this case. This is because 10^-1 is the same as [tex]\frac{1}{10^1}[/tex], which is the same as [tex]\frac{1}{10}[/tex], because anything times 1 remains the same.
[tex]\frac{1}{10}[/tex] is the same as 0.1
We get a 2-in-1 answer, which is perfect for this scenario!
Hence, the correct answers are [tex]\frac{1}{10}[/tex] and 0.1
Find the perimeter of the semicircular region. Round your answer to the nearest hundredth.
The perimeter is about
meters.
Answer:
23.14
Step-by-step explanation:
The semi circular region's diagram looks as if it is half of a circle, cut in half by its diameter.
So the circumference of a circle is 2πr or πd
This is half a circle, so the formula is πd/2
π9/2 = 14.137
However, that's only half of the circumference. That does not contain the diameter that is also included.
So if you add 9m to that you get 23.137
factor each completely
n^2 - 11n + 10
[tex] {n}^{2} - 11n + 10 = [/tex]
[tex](n - 1)(n - 10)[/tex]
.................................................
h(t)=50− 5th, left parenthesis, t, right parenthesis, equals, 50, minus, start fraction, t, divided by, 5, end fraction
h(35)=h(35)=
Answer:
H(t) = 50 - t/5
h(35)=50-35/5
=50-7
=43
h(35) = 43
