Answer:
E: x = 13
F: x = 1.5 or 3/2
Step-by-step explanation:
This is for E:
x + 2/3 = 5
All you do is first multiply 5 * 3
and you will get 15
x + 2 = 15
Then you subtract from 15
15 - 2 = 13
So x = 13
This is for F:
10(x - 1) = 5
So all you do is distribute the 100 with x -1
10 * x = 100x
10 * -1 = 100
10x - 10 = 5
Then you add 10 to 15 because the number is -10
5 + 10 = 15
10x = 15
Now you divide by 10 on both sides
10x/10 = 15/10
10x/10 = x
15/10 = 3/2
So the answer for F is 3/2 or 1.5
An airplane is flying from New York City to Los Angeles. The distance it travels in miles d, is related to the time in seconds, t, by the equation d=0.15t. Do NOT include units with your answer.A. How fast is it flying in miles per second?B. How far will it travel in 30 seconds?C. How long will it take to go 12.75 miles?
Answer:
A. 0.15
B. 0.45
C. 85
Step-by-step explanation:
Given that:
Equation to represent the relation between distance, [tex]d[/tex] in miles and time [tex]t[/tex] in seconds:
[tex]d=0.15t[/tex]
A.
To find: The speed of airplane in miles per second.
Formula for speed is given as:
[tex]Speed = \dfrac{Distance}{Time}[/tex]
Here, we will have to find the value of [tex]\frac{d}{t}[/tex].
Dividing the given equation by [tex]t[/tex], we get:
[tex]\dfrac{d}{t}=0.15[/tex]
[tex]d[/tex] is in miles and [tex]t[/tex] is in seconds.
Therefore, the answer is 0.15.
B.
Distance traveled in 30 seconds.
Given that: [tex]t[/tex] = 30 seconds
To find: [tex]d = ?[/tex] in miles
[tex]d = 0.15\times 3 = 0.45[/tex]
C.
The time taken to travel a distance of 12.75 miles.
Given that : [tex]d =12.75\ miles[/tex]
To find: [tex]t = ?[/tex] seconds
[tex]12.75 = 0.15t\\\Rightarrow t = \dfrac{12.75}{0.15}\\\Rightarrow \bold{t = 85}[/tex]
pls solve this question step by step.
Answer:
Daughter is 14 and son is 10==========================
Let the present ages be:
Daughter - d, son - sSet equations8 years ago:
d - 8 = 3(s - 8)At present:
d = s + 4Simplify and substitute d into the first equation:
d - 8 = 3s - 24d = 3s - 16s + 4 = 3s - 163s - s = 4 + 162s = 20s = 10Find d:
d = 10 + 4 = 14If the area of your garden is ( d^2 -16 ) and the length is (d+4
Answer:
d^3+4d^2-16d-64
Step-by-step explanation:
d^d+d^2*4+(-16)d+(-16)*4
d^2d+4d^2-16d-16*4
The value of 9 x^2 + 4 x – 11 is ______ when x = 3 . 2 and ______ when x = − 2 .
The value of 9 x^2 + 4 x – 11 is 93. 96 when x = 3.2 and 17 when x = -2
What are algebraic expressions?Algebraic expressions are expressions composed of variables, terms, factors, constants and coefficients.
They are also made up of mathematical or arithmetic operations
Given the expression;
9 x^2 + 4 x – 11
Substitute the value of x as 3. 2
9(3.2 )² + 4(3.2) - 11
expand the bracket
9(10. 24) + 12. 8 - 11
104. 96 -11
93. 96
Substitute the value of x as -2
9(-2)² + 4(-2) - 11
9(4) - 8 - 11
17
Thus, the value of 9 x^2 + 4 x – 11 is 93. 96 when x = 3.2 and 17 when x = -2
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the base of a rectangular prism is 6 in · 7 in. what is the lateral area of the prism? 134 cm 2 168 cm 2 182 cm 2 266 cm 2
The lateral area of the prism is 182 in².
A three-dimensional structure with two triangle bases and three rectangle sides is called a triangular prism. The two bases are congruent and parallel to one another. It contains 5 faces, 6 vertices, and 9 edges altogether. There are three rectangular sides connecting the vertices and edges of both bases.
The dimensions of the base of a rectangular prism is given as 6 in × 7 in.
A triangular prism's lateral area is equal to the sum of its side faces' areas (which are 3 rectangles). Specifically, it is the total surface area less the surface areas of the two bases. Additionally called the lateral surface area (LSA).
Therefore, the lateral area of the prism is:
LA = 2 ( 6 × 7 ) + 2 ( 7 × 7 )
LA = 2 × 42 + 2 × 49
LA = 84 + 98
LA = 182 in²
Therefore, the lateral area of the prism is 182 in².
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Solve these 3 questions.
Answer:
1. x = 13
2. x=17
3. y= 34
Step-by-step explanation:
2/3x + 5 =9 i need helppp
Answer:
x=6
Step-by-step explanation:
First, you subtract 5 from both sides of the equation.
2/3x=9
Then you divide both sides by 2/3 to get x by itself, which equals 6. So, the answer is 6.
5 and 7 are _____ angles.
a.alternate exterior
b.alternate interior
c.supplementary
d.right
e.corresponding
Answer:
c.supplementary.Step-by-step explanation:
I hope l have answered your question. ❤❤❤Factor each. One factor has been given Plsss helpppp
Answer:
A.(x+2)(x-1)(x+5)=0
Which statement is true?
1
3
(
n
+
3
)
=
1
3
n
+
3
1 third times open paren n plus 3 close paren is equal to 1 third n plus 3
1
3
(
n
+
3
)
=
1
3
n
+
1
1 third times open paren n plus 3 close paren is equal to 1 third n plus 1
1
3
(
n
+
3
)
=
1
3
n
+
3
1
3
1 third times open paren n plus 3 close paren is equal to 1 third n plus 3 and 1 third
1
3
(
n
+
3
)
=
1
3
n
+
4
3
Answer:
the answer is they are the same
Answer:
yes
Step-by-step explanation:
explanation: yes
me: yes
you: yes
others: yes
john cena: no :)
confusion confusion
confusion confusion
Bob and Alice have designed and created a website for their high school. The first week they had 5 visitors to the site; the second week, they had 10 visitors; and during the third week, they had 20 visitors. If the trend continues, how many visitors can they expect in the fifth week? Explain your answer.
Answer:
80
Step-by-step explanation:
The trend is multiplying by 2. 5x2=10 10x2=20 20x2=40 40x2=80
is your birth order related to your choice of college majors? a statistics professor at a large university polled his students to find out what their majors were
The birth order is related to the choice of major. The statistics professor at the university polled his students in finding out the majors and position based on family birth order.
What is statistics?Statistics, a branch of applied mathematics, is concerned with the collection of, description of, analysis of, and inferences from quantitative data. Major contributions to the mathematical theories underlying statistics come from probability theory, linear algebra, and differential and integral calculus.
Finding valid inferences about big groups and general events from the behavior and other observable characteristics of small samples is a major challenge for statisticians, or persons who study statistics. These small samples are representative of a small subset of a larger group or a small number of isolated occurrences of a widespread phenomena.
Almost all scientific fields, including the physical and social sciences, as well as business, the humanities, government, and manufacturing, use statistics. Fundamentally, statistics is an area of applied mathematics that resulted from the application of calculus and linear algebra, among other mathematical techniques, to probability theory.
(a) answer= (113/223) * 100= 50.6725%
(b) answer = (15/43) * 100 = 34.8837%
(c) answer = (15/113) * 100 = 13.27%
(d) answer = (15/223) * 100 = 6.7264%
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Which set of ordered pairs represents a function ?
{ (-8,-4),(-8,-1),(4,5),(8,7)}
{ (0,-8),(-8,-8),(9,0),(-6,-6) }
{ (8,4),(8,-2),(-7,6),(5,2)}
{ (-1,2),(-5,-3),(-89),(-5,-8)}
Answer:
the first one of them is right
Given 4 and 1 over 10 times negative three times 5 over 12, determine the product.
negative twelve and 5 over 120
twelve and 5 over 60
negative five and 1 over 8
five and 1 over 8
The expression is simplified to -5 1/ 8,negative five and 1 over 8 . Option C
How to determine the productFrom the information given, we have;
4 and 1 over 10 timesthree times 5 over 12This can be represented as;
4 1/ 10 × -3 × 5/ 12
Make the fraction into improper fraction
41/ 10
Substitute into the expression;
41/ 10 × -3 × 5/ 12
Find the product of the numerators and denominator, that is, multiply through
- 615/120
Turn into mixed fraction
- 5 15/ 120
-5 1/8
Thus, the expression is simplified to -5 1/ 8,negative five and 1 over 8 . Option C
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could use some help with answering this. :)
Answer: r = 2
Step-by-step explanation: The general equation is:
(x-a)² + (y-b)² = r²
where (a,b) = coordinates of the center, and r = radius
x² + y² = 4 is the same as
(x-0)² + (y-0)² = 2²
So, the center is at (0,0) and the radius is 2.
A clothing store has a sale such that every item in the store is 20% off of the original price. What is the marked down price of an
item, in dollars, that was originally $59.99? Hint: round to the nearest cent.
Answer:
11.99
Step-by-step explanation:
59.99 x .20 = 11.99
All tubes of watercolor paint at an art supply store have the same price. An artist has a coupon for $0.80 off each tube of paint she buys. She buys 12 tubes of paint and pays a total of $70.20 after the coupon is applied. Write an equation to find r, the regular price of each tube of paint. No need to solve the equation.
Answer:
R=70.20-$0.80(12)
Step-by-step explanation:
Please help thanks !!!!
Answer:
x = -11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
6(x - 1) = -72
Step 2: Solve for x
Divide 6 on both sides: x - 1 = -12Add 1 to both sides: x = -11Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 6(-11 - 1) = -72Subtract: 6(-12) = -72Multiply: -72 = -72Here we see that -72 does indeed equal -72.
∴ x = -11 is a solution to the equation.
Answer:
x = - 11
Step-by-step explanation:
Given
6(x - 1) = - 72 ← divide both sides by 6
x - 1 = - 12 ( add 1 to both sides )
x = - 11
PLS HELP, Urgent! When conducting the vertical line test, how many times should the vertical line intersect the graph if the relationship is a function?
Rita earns $18.00 per hour. If she gets a 4% raise, what will be her new hourly wage?
Answer:
Step-by-step explanation:
Probably $20 just by estimating
Answer:
Rita's new hourly wage will be $18.72.
Step-by-step explanation:
To solve this problem, we first need to calculate 4% of $18.00 to find the raise.
18 x 0.04 = 0.72
Now, we need to add this to the original hourly wage of $18.
18 + 0.72 = $18.72
Therefore, Rita's new hourly wage will be $18.72.
Hope this helps! :D
The product of two consecutive integers is 72.
Which of the following could be their sum?
E. -17
F. -1
G. 1
H. 18
Answer:
First I would find the square root of 72 with a calculator, which happens to be 8.49 (rounded to the nearest hundreth)
So we know that the two integers will be close to 8.48
Since they are consecutive, lets first test out 8 and 9
We multiply these two and get 72, which is the number we were looking for.
now we find their sum.
9 + 8 = 17
Now since this is not part of the answers, we now asume that both 9 and 8 are negative numbers, since negative times a negative is a positive, but a negative plus a negative can still be negative.
-9 + -8 = -9 - 8 = -17!
So, the answer you are looking for is E: -17
If the total price for two cars at a dealership is $91,000, where one car's price is
$11,000 less than twice the other, what is the price of the cheaper vehicle?
The price of the cheaper vehicle is $34000. And the price of the other vehicle is $ 57000. The total becomes $91000.
The total price for two cars at a dealership is $91,000, where one car's price is $11,000 less than twice the other.
There are numerous ways in which one may define an equation. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an ‘equal’ sign. The most basic and simple algebraic equations consist of one or more variables in math.
Let the price of one car be 'X' and other be 'Y' such that:
X+Y = $91000.
According to the question,
X = 2Y - $11000
Manipulating and calculating both the equations we get,
X = $57000 and Y = $34000.
So the cheaper car is of $34000.
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Smart about slopes help pls
Answer:
Step-by-step explanation:
1. undefined
2.undefined
3.undefined
6. undefined
thats all i know
1: 1
2: -1
3: 1/2
4: -3
5: 1/3
6: also 1
7: people might mix up x and y and instead of doing y rise/x rise, they might do x rise/y rise
I can't see 8 9 10 or 11 so I'm going to assume thats it. Hope this helped :)
HELP ASAP
HELP ASAP
HELP ASAP
Find the values of m and n.
-14=6x-8(x+3)
use the distributive property And show the steps that you did
Answer:
x=-5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Chicago has a temperature of -15oF. It is colder in Minneapolis than in Chicago. Select all the values that could represent the temperature in Minneapolis.
A. -22oF
B. 12oF
C. -2oF
D. 2oF
E. -20oF
F. 20oF
Answer:
A and E
Step-by-step explanation:
if its colder it means the negative number must be bigger then -15oF such as -22oF and -20oF
Can someone tell me the answer to this 20 points
Answer:
B
Step-by-step explanation:
YM is a median of the triangle below. XM = 2x + 2 and ZM = 4x - 8. What 5 points
is the length of XM?
12
16
-2
10
Answer:
Option A: 12
Step-by-step explanation:
From the image of the triangle given, we can see that:
XM = ZM
We are given that:
XM = 2x + 2 and ZM = 4x - 8
Thus;
2x + 2 = 4x - 8
Rearrange to get;
4x - 2x = 8 + 2
2x = 10
x = 10/2
x = 5
Thus, XM = 2(5) + 2
XM = 12
If the ratio of blueberries to strawberries is 4:1, what is the percentage of strawberries
in the fruit salad?
Answer: Since the total is 5 fruits, 1 is strawberry. So that would be 20 out of a 100. The percentage of strawberry is 20% of all the fruit.
The percentage of strawberries in the fruit salad is 20%.
Given that,
The ratio of blueberries to strawberries is 4:1.
Based on the above information, the calculation is as follows:
[tex]= 1\div (1 + 4)\\\\= 1\div 5[/tex]
= 20%
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Janet and Jack are walking in a two-day event to raise money for charity. Janet asks a friend for a $7.50 donation, plus $0.10 for each mile she walks. Jack asks a friend for a $5.50 donation, plus $0.15 for each mile he walks. At how many miles of walking would Janet and Jack collect the same amount of money?
A. 44
B. 40
C. 28
D. 25
Answer:
B
Step-by-step explanation: