Answer:
6/11 * 5/10
3/11 or 0.27 repeating
Step-by-step explanation:
A pair of designer sneakers was purchased for $100. Since they were purchased, their price has increased by 15%. What is the new price?
Answer:
115
Step-by-step explanation:
The line plot shows the number of hours students in Mrs. Timberlake’s class worked on a project. How many students are included in the data?
Answer:
15
Step-by-step explanation:
I got this answer because I just added up all the x's.
1=3
2=2
3=5
4=3
5=2
3+2= 5
5+5=10
10+3=13
13+2=15
Which expression can be simplified to find the slope of the trend line in the scatter plot?
D is 8-2
78-87
(B) [tex]\frac{78-87}{8-2}[/tex]
The slope of the trend line:A linear relationship is depicted by a trend line. [tex]Y=mx+b[/tex], where [tex]x[/tex] is the independent variable, [tex]y[/tex] is the dependent variable, m is the slope of the line and [tex]b[/tex] is the y-intercept, is the equation for a linear relationship.Scatter plot -Data visualization that depicts the relationship between two numerical variables is known as a scatterplot. The values for the two variables are used to depict each member of the dataset as a point with [tex]x-y[/tex] coordinates that correspond to those values.Therefore, (B) [tex]\frac{78-87}{8-2}[/tex] can be simplified to find the slope of the trend line in the scatter plot.
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Find the zeros of the polynomial
function and state the multiplicity of
each
Victoria uses
3/16
cup of flavored syrup to make an Italian soda. She has 2 cups of flavored syrup left. How many Italian sodas can she make?
A.
9 3/8
B.
10 2/3
C.
11 1/4
D.
12 1/2
Answer:
B. or 10 2/3
Step-by-step explanation: Because if she had only 2 cups left then 1 cup can make 5 drinks so 10 then the rest would be a fraction.
She can make 32/3 of Italian sodas with 2 cups of flavored syrup.
What is a fraction?
A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, Victoria uses 3/16 cups of flavored syrup to make an Italian soda.
Assume that 3/16th of x is 1.
∴ (3/16)x = 1.
3x/16 = 1.
3x = 16.
x = 16/3,
Now from 2 cups of flavored syrup, we can make 2x of Italian soda.
Which is (16×2)/3.
= 32/3
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3x−8−12x=42
what is x?
Answer:
x = -50/9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
3x - 8 - 12x = 42
Step 2: Solve for x
Combine like terms: -9x - 8 = 42Isolate x term: -9x = 50Isolate x: x = -50/9I need help with this 70―10=―10+40
Answer:
I got 90
Please correct me If I am wrong Please and Thank You
Step-by-step explanation:
Combine like terms 70 and 10 which will be 60
and Combine like terms and you get 30
Then you add 60+30= 90
Answer: 60=30
Step-by-step explanation:
70-10= -40=10
60 = 30
Write this fraction in an equation using words: 2/3
Answer:
two-thirds plus five=five and two-thirds
Step-by-step explanation:
Can someone help pls?
Answer:
Step-by-step explanation:
Let the original width be x
Then the original length = x + 11
Area = x * (x + 11)
If you decrease each side by 7 you get
Area 1 = (x - 7)(x + 4)
So area - area1 =
x (x + 11) -98 = (x - 7)(x + 4) Remove the brackets
x^2 + 11x - 98 = x^2 - 7x + 4x - 28 Combine the like terms
x^2 + 11x - 98 = x^2 - 3x - 28 Add 98 to both sides
x^2 + 11x = x^2 - 3x + 70 Cancel the x^2
11x = -3x + 70 Add 3x to both sides
14x = 70 Divide by 14
x = 70 / 14
x = 5
=====================
Original conditions
Answer width = 5
Length = 16
If you check this, you will get totally bizarre answers. Don't check it. It gives negative results. You can do this in math, but not in the real world.
A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $800 and the daily rate for each partner is $1500. How much would the law firm charge the client daily if 9 associates and 4 partners were assigned to the case? How much would the law firm charge the client daily if aa associates and pp partners were assigned to the case?
Answer:
$8700
Step-by-step explanation:
Associates cost $800 each, you have 9 associates, so multiply 800 by 9 which gives you: $800x 9= $7200.
Partners cost $1500 each, you have 4 partners, so multiply 1500 by 4 which gives you: $1500x 4=$6000.
Then add the two together like this: $7200+$1500= $8700.
Answer:
The system 800x+1300y=12300 and y = x+3 can be used to determine the number of associate assigned to the case and the number of partners assigned to the case where x represent the number of associates and y represent the number of partners.
Step-by-step explanation:
Given,
Per day charge of each associate = $800
Per day charge of each partner = $1300
Total charged per day = $12300
Let,
x be the number of associates
y be the number of partners
According to given statement;
800x+1300y=12300 Eqn 1
y = x+3 Eqn 2
The system 800x+1300y=12300 and y = x+3 can be used to determine the number of associate assigned to the case and the number of partners assigned to the case where x represent the number of associates and y represent the number of partners.
Keywords: linear equation, addition
Step-by-step explanation:
A sporting goods store bought a ski set at a cost of $432. Later, the ski set was marked down 10% from its selling price and then marked down another 20%. The total markdown is the greatest possible markdown without the store losing money. Find the original selling price.
Answer:
The original selling price of the ski set is $600
Step-by-step explanation:
The cost price of the ski set = $432
The first percentage mark down of the ski set = 10% from its selling price
The first percentage mark down of the ski set = 20% from its selling price
Let x represent the original selling price of the ski set at the sporting goods store, we are given;
80/100 × (90/100 × x) = The cost price of the ski set
Therefore, we have;
80/100 × (90/100 × x) = 432
0.72 × x = 432
x = 432/0.72 = 600
Therefore, the original selling price of the ski set, x = $600
What is the equation of the line through (2,-4) and (0,4)?
Answer:
y = -1/4x + 4
Step-by-step explanation:
y2-y1/x2-x1
When flipping a coin, the probability of getting tails is 50% and heads 50%. What is the probability of getting heads
or tails?
50%
60%
75%
100%
Answer:
50%
Step-by-step explanation:
Most people assume the toss of a coin is always a 50/50 probability, with a 50 percent chance it lands on heads, and a 50 percent chance it lands on tails
Answer:
100%
Step-by-step explanation:
There is a 50% chance of getting heads, and 50% chance of getting tails.
If these two options are added together, you get 100%. There are only two options on a coin flip anyways, so the probability of getting heads or tails would be 100%.
A) Find the distance of line segment PR. Round answer to the nearest tenth. B) Find the distance around the park (perimeter).
Answer:
A. [tex] PR = 80.6 yd [/tex]
B. Perimeter = 190.6 yd
Step-by-step explanation:
A. Distance between P(10, 50) and R(80, 10):
[tex] PR = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
[tex] PR = \sqrt{(80 - 10)^2 + (10 - 50)^2} [/tex]
[tex] PR = \sqrt{(70)^2 + (-40)^2} [/tex]
[tex] PR = \sqrt{4,900 + 1,600} [/tex]
[tex] PR = \sqrt{6,500} [/tex]
[tex] PR = 80.6 yd [/tex] (nearest tenth)
B. Distance around the park = Perimeter = PR + PQ + QR
PR = 80.6 yd
PQ = |50 - 10| = 40 yd
QR = |80 - 10| = 70 yd
Perimeter = 80.6 + 40 + 70
Perimeter = 190.6 yd
Solve the equation 2(3x + 7) + 5 = 49.
Answer:
x=5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
If f(x)=−5x−8 and g(x)=2x+1, then what is (f∘g)(5.7)?
Answer:
(f*g)(5.7)= -452.6, hopefully that answers your question
suppose a+b=10 and the value of a increases by 1. If the sum remains the same, what must happen to the value of b?
Answer:
[tex]b[/tex] decreases by [tex]1[/tex]
Step-by-step explanation:
If the value of [tex]a[/tex] increases by [tex]1[/tex] and the sum remains the same, then the value of [tex]b[/tex] decreases by [tex]1[/tex].
Example:
Suppose [tex]a=7[/tex] and [tex]b=3[/tex].
[tex]a+b = 10[/tex]
[tex]b = 10-a[/tex] (minus [tex]a[/tex] on both sides)
Now, let [tex]a = 8[/tex] ([tex]a[/tex] has increased by [tex]1[/tex]):
[tex]b = 10-8[/tex]
[tex]=2[/tex]
From the comparison of the previous value of [tex]b[/tex] to the current value of [tex]b[/tex], the value of [tex]b[/tex] has decreased by [tex]1[/tex].
Hope this helps :)
(6,5), 7x-3y=5 find the equation of the line that contains the given point and is parallel to the line. write the equation in slope intercept form
Answer:
y = (7/3)x - 9
Step-by-step explanation:
1. Convert given equation to y=mx+b form --> y = (7/3)x - 5/3
2. Equation of new line --> y = (7/3)x + b
Note: 7/3 is the slope and for lines to be parallel they need the same slope so both equations have 7/3.3. Plug in given values --> 5 = (7/3)(6) + b
4. Solve for b --> b = 5 - 14 b = -9
5. New line --> y = (7/3)x - 9
derivative of (a^x/Log a)?
[tex]\sf{\dfrac{a^x}{log(a)} }[/tex]
(OR)[tex]\sf{\dfrac{a^x}{ln(a)} }[/tex]
[tex]\large\bold{\underline{\underline{Solution:-}}}[/tex][tex]\sf{Let\ y=\dfrac{a^x}{ln(a)} }[/tex]
[tex]\sf{=\dfrac{d}{dx}\bigg[\dfrac{a^x}{ln(a)} \bigg] }[/tex]
(Linear differentiation)[tex]\sf{=\dfrac{1}{ln(a)}.\dfrac{d}{dx}(a^x) }[/tex]
[tex]\sf{=\dfrac{ln(a)a^x}{ln(a)} }[/tex]
[tex]\boxed{\sf{=a^x}}[/tex]
[tex]\large\bold{\underline{\underline{Applied:-}}}[/tex]✭ Linear differentiation→ [tex]\sf{[a.b(x)+c.d(x)]'=a.b'(x)+c.d'(x)}[/tex]
✭ Exponential function rule
→ [tex]\sf{(a^x)'=ln(a).a^x}[/tex]
Answer:
a^x.
Step-by-step explanation:
y = a^x / log a
Assuming the log is to the base e:
y = (1/ log a) * a^x
Derivative of a^x:
Let u = a^x
log u = log a^x
log u = x log a
1/u * du/dx = log a
du/dx = = u * log a
y = (1 / log a) * u
so dy/du = 1/log a
and dy/dx = dy/du * du/dx
= (1/log a )* log a u
= u
= a^x.
Select all simplified expressions of 3^4 divided by 3^9
What is the solution to m/-7<_ 14
Answer:
-98
Step-by-step explanation:
simplify both sides
The value of a new car decreases by about 15% in the first year. How much will a car be worth after one year if its initial value was $1,500? If you get stuck, consider using diagrams or a table to organize your work.
Answer:
After one year, the car will be worth $1,275.
Step-by-step explanation:
We know that a new car value decreases by 15% every year. So, we first need to find 15% of $1,500.
1,500 x 0.15 = $225.
Now, me must subtract $225 from the initial value, or $1,500.
1,500 - 225 = $1,275
Therefore, after one year, the car will be worth $1,275.
Hope this helps! :D
What is another way to express 48 + 32?
(a) 6(8+6)
(b) 16(3 + 2)
(c) 3(16 + 11)
(d) 12(4 + 3)
Answer:d
Step-by-step explanation: tufryvztgv
A car travels 60 miles due north then makes a turn due west. It travels 72 miles west. How far is the car from ils starting point?
Answer:
132 miles
Step-by-step explanation:
Answer: the answer is 93.7 miles
Given the set of test scores: 42, 72, 74, 78, 80, 80, 85, 88, 92. If the outlier is removed, which statement is true? Select all that apply.
Choose all that apply:
The standard deviation decreases.
The mean increases.
The median decreases.
The range increases.
Answer:
Standard deviation decreases and mean increases
Step-by-step explanation:
The test scores are:
42, 72, 74, 78, 80, 80, 85, 88, 92
Mean = (42 + 72 + 74 + 78 + 80 + 80 + 85 + 88 + 92)/9 = 76.77
Median is 5th term which is 80
Range is highest score - lowest score = 92 - 42 = 50
Standard deviation from an online calculator gives 13.69
Now,we want to know what happens to those values when the outlier is removed. The outlier in this case is 42 because it is not consistent with other scores which range from 72 - 92.
Thus,the new set of scores are;
72, 74, 78, 80, 80, 85, 88, 92
New Mean = (72 + 74 + 78 + 80 + 80 + 85 + 88 + 92)/8 = 81.125
New Median will be the average of the 4th and 5th term which is (80 + 80)/2 = 80
New Range = 92 - 72 = 20
New Standard deviation from an online calculator gives 6.39
From the comparison above when the outlier is removed, we can say that;
- Mean increases
- remains the same
- Range decreases
- standard deviation decreases
Who has
✨ A n x i e t y ✨
Answer:
yupyup
Step-by-step explanation:
been having it for years now
Select the two correct factors of the polynomial:
Answer:
(x + 6)
(x - 7)
Step-by-step explanation:
To factor the polynomial in form [tex]x^{2} +bx+c[/tex] find two factors of C that have a sum of B
B = -1
C = -42
Factors of 42:
1, 2, 3, 6, 7, 14, 21, 42
6 and -7 multiply to -42 and add to -1
Write in factored form:
(x + 6)(x - 7)
Answer:
(x - 7)(x + 6)
Step-by-step explanation:
Given
x² - x - 42
Consider the factors of the constant term (- 42) which sum to give the coefficient of the x- term (- 1)
The factors are - 7 and + 6 , since
- 7 × 6 = - 42 and - 7 + 6 = - 1 , thus
x² - x - 42 = (x - 7)(x + 6)
I'd really appreciate your help, please no joke answers
Find the distance from (7, -4) to y+3x - 5
Procedure would be apreciated
Image attached and an explaination I don't fully understsand
Answer:
d= 2√10
Step-by-step explanation:
y= 3x - 5
3x - y - 5=0
d= | 3* 7 +(-1) * (-4) + (+5) |
________________
[tex]\sqrt{3^{2} } + (-1)^{2}[/tex]
d = | 20 | / [tex]\sqrt{10}[/tex]
d = 20 / [tex]\sqrt{10}[/tex]
d = 2[tex]\sqrt{10}[/tex]
if m*n=-12 and m+n=11 what is m? what is n?
x^2+11x-12=(x+m)(x+n)
Answer:
i think its -10
Step-by-step explanation:
hope im not wrong
30 Points. i fr need to pass this test i dont feel like taking it again my senior year
Answer:
3x^3+2x^2+2x+5
Step-by-step explanation:
The answer is A