Answer:
Total Cost (p) = 90 + 14p
For 70 people = $1070
Step-by-step explanation:
Let p stand for the number of people attending the banquet
Fixed cost = $90
Variable cost = $14p
Total Cost (p) = 90 + 14p
=================
Cost for 70 people (p=70)
Total Cost = $90 + $14(70)
Total = $1070
Suppose that n is a positive number and Log10 n = q. Which expression always equals the value of Log10 n^2?
2q
Answer:
solution given:
[tex]log_{10} n=q[/tex]
now
[tex] Log_{10 }n^2=?[/tex]
by using property of logarithms
[tex]log_{a} n^p=p log_{a}n [/tex]
now
[tex] Log_{10 }n^2=2 Log_{10 }n[/tex]
=2q
since [tex]log_{10} n=q[/tex]
Step-by-step explanation:
the average weight of 6 boys is 40 kg .Two boys weighing 40kg and 20kg left the group.Find the average weight of the remaining four boys
the average weight of 4boys 39.6 is Wight
65,754.59 round it to the nearest tenth
Answer:
65,754.6
Step-by-step explanation:
When rounding, the last digit is number you need to observe. If the digit is less than 5 (4,3,2,1), then round down. If it is 5 or greater, then round up.
tASAP HELP + 50 POINTS
Find the value of x. Show all the work
Answer:
7
Step-by-step explanation:
im pretty sure at least. since x is on a midpoint, it'd half of 14.
See those similar lines
The line.of length x passes through midpoint of the traingles on opposite sides
At this case according to BPT theorem
2x=14x=14/2x=7Solve for x.
(x+16)
(4x-5)°
11
7
9
13
Answer:
4
3
+
5
9
2
−
8
0
Step-by-step explanation:
A scale drawing of AJ’s room shows the length as 5 cm and the width as 8 cm. Using a scale of 1 cm = 10 ft, find the area of the room.
Answer:
4000 sqft
Step-by-step explanation:
you multiply 5*10 which equals 50 then 8*10 which equals 80 then to find area you multiply 50*80 which equals 4000 sqft
Angela is following this recipe to make biscuits.
Angela uses 1.1 litres of syrup.
How much sugar is needed in kg?
Recipe: Makes 14 biscuits
110 g margarine
100 g sugar
275 ml syrup
200 g oats
50 g sultanas
Answer:
0.4 kg
Step-by-step explanation:
A proportion can be used to find the amount of sugar.
x/(1.1 L) = (0.1 kg)/(0.275 L)
x = (1.1)(0.1)/0.275 kg = 0.4 kg
Angela needs 0.4 kg of sugar for her biscuits.
Evaluate the expression when a=-2 and x=7.
-2a+x
Step-by-step explanation:
-2a + x
Putting values of a = - 2 and x = 7
-2(-2) + 7
4 + 7
= 11
A class has 6 boys and 14 girls. What is the ratio in simplest form that compares number of boys to total number of students?
A. 6:14
B. 6:20
C. 3:7
D. 3:10
Find the sum of 4+3x and 5-4x+2x 2
Answer:
[tex]\huge\color{green}\boxed{\colorbox{black}{Answer ☘}}[/tex]
To find - sum of the given two terms.
[tex](4 + 3x) + (5 - 4x + 2x {}^{2} ) \\ 4 + 3x + 5 - 4x + 2x {}^{2} \\ = > 2x {}^{2} - x + 9[/tex]
—————————————————[tex]\color{purple}\boxed{\colorbox{black}{Additional Information♡}}[/tex]
Here ,we basically added the like terms together..
like, the terms ( 3x and -4x ) will be added together.. and the terms ( 4 and 5 ) will be added together...
since there's none other term having "x²" as the coefficient.. so 2x² will be left as it is!
hope helpful~
~ExhaustedZombieThe sum of the expression 4+3x and 5-4x+2x² is 2x² + 7x + 9
How to find sum of expressionsGiven:
4+3x
5-4x+2x²
Sum means addition of expressions(4+3x) + (5-4x+2x²)
= 4 + 3x + 5 - 4x + 2x²
= 2x² + 3x - 4x + 5 + 4
= 2x² + 7x + 9
Therefore, the sum of the expression is 2x² + 7x + 9
Learn more about sum:
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The price of a package of 4 pens is $8.00. The same pens are sold at $2.50 each. If Alex bought three packages of pens rather than buying 12 pens individually, the amount he saved on 12 pens is the percent of the amount he paid is
Answer:
25%
Step-by-step explanation:
alex paid:
8x3 = 24
he saved:
2.50x12-24 = 30 - 24 = 6
percent:
(6/24)x100 = 25%
I really need help!!
Answer:
Red: y=4
Green: x=-1
Yellow: x=6
Blue: x=-2
Step-by-step explanation:
The lines are all passing through the Axis, so there is no slope for each line.
Which function represents the following graph? On a coordinate plane, a cubic function has an inflection point at (negative 3, 3) and crosses the x-axis at (0, 4. 5). Y = StartRoot x minus 3 EndRoot 3 y = StartRoot x 3 EndRoot 3 y = RootIndex 3 StartRoot x minus 3 EndRoot 3 y = RootIndex 3 StartRoot x 3 EndRoot 3.
The function represents the graph is (d) [tex]y = \sqrt[3]{x+3} + 3[/tex]
The points on the graph are given as:
[tex](x,y) = (-3,3)[/tex] --- the inflection point
[tex](x,y) = (0,4.5)[/tex] --- the y-intercept
The function that satisfy the above points is:
[tex]y = \sqrt[3]{x+3} + 3[/tex]
The proof is as follows:
At the inflection point, we have the x value to be -3.
So, the function becomes
[tex]y = \sqrt[3]{x+3} + 3[/tex]
[tex]y = \sqrt[3]{-3+3} + 3[/tex]
[tex]y = \sqrt[3]{0} + 3[/tex]
[tex]y = 0+ 3[/tex]
[tex]y = 3[/tex] ---- the y-value at the inflection point is true for x = -3
Also, at the y-intercept, we have the x-value to be 0
So, the function becomes
[tex]y = \sqrt[3]{x+3} + 3[/tex]
[tex]y = \sqrt[3]{0+3} + 3[/tex]
[tex]y = \sqrt[3]{3} + 3[/tex]
[tex]y = 1.45+ 3[/tex]
[tex]y = 4.45[/tex] ---- the y-value at the y-intercept is true for x = 0
Hence, the function represents the graph is (d) [tex]y = \sqrt[3]{x+3} + 3[/tex]
Read more about graphs and functions at:
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Answer:
D
Step-by-step explanation:
3/4 of analisa's friends came to her birthday party. express this fraction as a percant and a decimal.
Answer:
0.75 And 75%
Step-by-step explanation:
If 3/4 came then 25, 50, 75, 100 what is the 3rd number of of those 4
mathmatic equation
solve y:
7=4(3y-3)
Answer:
y=1.58
Step-by-step explanation:
7=4(3y-3)
Simplify the distributive property.
7=12y-12
Add 12 to both sides.
19=12y
Divide 12 on both sides.
1.58=y
-hope it helps
What is a bond and how do you make money from it?
Answer:
Bonds are among a number of investments known as fixed-income securities. They are debt obligations, meaning that the investor loans a sum of money (the principal) to a company or a government for a set period of time, and in return receives a series of interest payments (the yield).
Step-by-step explanation:
A guidance counselor wants to determine if there is a relationship between a student’s number of absences, x, and their grade point average (GPA), y. He collects data for 15 randomly selected students and determines the value for s was 0.67.
The interpretation of the value of s being 0.67 is that: the typical distance between the observed grade points and predicted grade points was about 0.67 points.
The given parameters are:
n = 15s = 0.67Variable sIn regression, the variable s represents the average distance that the observed values fall from the regression line
The grade pointsIn this case, we have:
The observed grade points and The predicted grade pointsHence, 0.67 represents the typical distance between the observed grade points and predicted grade points.
Read more about regression at:
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What’s the missing angle of 121 and 29
Answer:
I am going to guess that shape you are trying to find is an triangle
30˚
Step-by-step explanation:
A triangle angle is 180˚
So add 121 and 29
Which is 150
180 - 150 which is 30
So the missing angle is 30˚
Hope this helps!
PLEASE HELP I"LL GIVE BRAINLIST
Every week, Fred deposits $84 into his savings account, which is 20% of his weekly income. How much income does Fred make each week?
$480
$420
$510
$505
Answer: 420 dollars.
Step-by-step explanation:
Answer:
Total income, $420.
Step-by-step explanation:
if $84 is 20% of freds income, then freds income could be modeled by the equation
Income = 84/.2 which equals $420 ((((ganggang)))
to check this, you can take his total income (420) and multiply it by 20%, and if we get 84, we are correct, 20% of freds income($420) IS in fact $84.
420*.2 = $84 proving ourselves to be correct.
If cos(θ)= -2/3 and θ lies in quadrant II, find the value of cotθ
[tex]\text{Given that,}\\\\\cos \theta = - \dfrac 23\\\\\implies \cos^2 \theta = \dfrac 49\\\\\implies 1- \sin^2 \theta = \dfrac 49\\\\\implies \sin^2 \theta =1-\dfrac 49\\\\\implies \sin^2 \theta =\dfrac 59\\\\\\\text{Now,}\\\\\cot^2 \theta = \dfrac{\cos^2 \theta}{\sin^2 \theta} \\\\\\\implies \cot^2 \theta = \dfrac{\tfrac 49}{\tfrac 59}\\\\\\\implies \cot^2 \theta = \dfrac 49 \times \dfrac 95\\\\\\\implies \cot^2 \theta = \dfrac 45\\\\\\[/tex]
[tex]\implies \cot \theta = \pm\sqrt{\dfrac 45} = \pm \dfrac 2{\sqrt 5}\\\\\\\text{Since}~ \theta ~ \text{lies in the second quadrant,} \cot \theta ~\text{will be negative.}\\\\\text{Hence,}~ \cot \theta = - \dfrac{2}{\sqrt 5}[/tex]
Answer:
yysywywyyw7e7eueuuwuwuuwueu3u3
Can someone pls help I’m trying to solve for x
Answer:
x = 2.3
Step-by-step explanation:
x = 5*(13-12.54) = 2.3
Answer:
127.7
Step-by-step explanation:
you do 12.54 + 13 = 25.54
then 25.54 x 5 = 127.7
The U.S. Energy Department states that 60% of all U.S. households have ceiling fans. In addition, 29% of all U.S. households have an outdoor grill. Suppose 13% of all U.S. households have both a ceiling fan and an outdoor grill. If a U.S. household is randomly selected, the probability that the household has neither a ceiling fan nor an outdoor grill is
Answer:
Very sorry if this is no help
Step-by-step explanation:
Which functions are invertible
Select each correct answer
Answer:
the top two
Step-by-step explanation:
For a function to be invertible, it must pass the "horizontal line test." That is, there can be no horizontal line that will intersect the graph in more than one place. The bottom two graphs fail this test, so do not represent invertible functions.
The two top graphs show invertible functions.
levi is a salesperson who sells computers at an electronics store he makes a base pay of $60 each day and then is paid a $5 commission for every computer sale he makes make a table of values and then write an equation for p in terms of x representing Levi's total pay on a day on which he sells x computers
Answer:
equation : P(x) = 5x+60
Table :
If x (levi sells this many computers)
then y (levi makes this much money)
x : 0 ; 1 ; 2 ; 3 ; 4 ; 5 so on...
y : 60 ; 65 ; 70 ; 75 ; 80 ; 85 so on...
Step-by-step explanation:
This equation can be modeled by P(x) = 5x+60
P= levi's total pay
x = number of computers sold
This equation can be input into a graphing calculator to find a table of the corresponding x and y values for this equation. To solve without using a calculator, plug in a certain value for x in the equation and solve for y to get its corresponding value.
Please help!
Can someone write out an explanation for how to simplify:
[tex](4x^{-4} )^{-3}[/tex]
I'm having trouble understanding it so a step by step would be helpful!
Factorise fully 2ab^3+ 8a^2b
The factorization of the given expression is 2ab(b²+4a).
The given expression is 2ab³+8a²b.
What is factorization?A number's factors are those that divide into another number equally. A number is factorized when it is written as the sum of smaller numbers.
The given expression can be factorize as follows:
2ab³+8a²b
Here, 2ab is the common factor from both the terms, Take it out side the bracket.
That is, 2ab(b²+4a)
Therefore, the factorization of the given expression is 2ab(b²+4a).
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Mrs. Taylor bought 16⅓ yards of material. She used 5¾ yards. How much material does she have left? *
Answer:
10\frac{7}{12}
Step-by-step explanation:
First thing you want to do is find the common denominator for \frac{1}{3} and \frac{3}{4}. You do this by multiplying to denominators together, so 3*4=12.
Next, multiple the numerators with the opposite denominator. 1*4=4 and 3*3=9.
Now you are left with \frac{4][12] and \frac{9}{12}.
Add those back to your numbers
16\frac{4}{12} - 5\frac{9}{12} = 10\frac{7}{12}
Someone please help me with this question And you can get 20 points
[tex]\text{Consider the slope - intercept form} ~y = mx +c,\\\\ \text{where m is the slope and and c is the y-intercept.}\\\\(a) \\\\y = -\dfrac 12 x +8 \\\\\text{This is in a form of y = mx +c, so}\\\\\text{Slope, m =}-\dfrac 12 ~ \text{and}~ \text{y - intercept , c =8}\\\\(b)\\\\y = 9x -2 \\\\\text{This is in a form of y = mx +c, so}\\\\\text{Slope, m =9}~ \text{and}~ \text{y - intercept ,}~ c =-2\\\\[/tex]
I need help with this
Answer:
5 + 5 = 10
10 + 10 = 20
20 + 20 = 40
40 + 40 = 80
80 is the answer.
if a customer spent $60, how many people did they buy food and beverages for?