Answer:
The restaurant is not at half way
Step-by-step explanation:
Given
[tex]Total\ Distance = 72[/tex]
[tex]Diego = 16x - 3[/tex]
[tex]Anya = 5x + 2[/tex]
Required
Accept or reject Diego's claim
To do that, we need to determine the value of x by:
Diego + Anya =Total Distance
Substitute values for each parameter
[tex]16x - 3 + 5x + 2 = 72[/tex]
Collect Like Terms
[tex]16x + 5x = 72 + 3 - 2[/tex]
[tex]21x = 73[/tex]
Divide both sides by 21
[tex]x = \frac{73}{21}[/tex]
Substitute the value of x in Diego and Anya's distance
[tex]Diego = 16x - 3[/tex]
[tex]Diego = 16 * \frac{73}{21} - 3[/tex]
[tex]Diego = \frac{1168}{21} - 3[/tex]
[tex]Diego = \frac{1168 - 63}{21}[/tex]
[tex]Diego = \frac{1105}{21}[/tex]
[tex]Diego = 52\frac{13}{21}[/tex]
[tex]Anya = 5x + 2[/tex]
[tex]Anya = 5 * \frac{73}{21} + 2[/tex]
[tex]Anya = \frac{365}{21} + 2[/tex]
[tex]Anya = \frac{365 + 42}{21}[/tex]
[tex]Anya = \frac{407}{21}[/tex]
[tex]Anya = 19\frac{8}{21}[/tex]
Since, both distances are not equal,
Then Diego's claim is false and incorrect
Mrs. Santiago wants to buy a new dining room table. She is trying to decide between a large table that costs $548.00 and a smaller table that costs $135.00. How much money will Mrs. Santiago save if she buys the smaller table?
Answer:
$413
Step-by-step explanation:
548
- 135
413
Answer:
413.00
Step-by-step explanation:
Subtract.
548.00 minus 135.00 is 413.00.
That is the answer.
you roll a die what is the probability a prime number will come up?
Answer:
1/2 or 50%
Step-by-step explanation:
Total numbers: 1 to 6
Prime numbers: 2, 3, 5
Possible outcomes= 6Favorable outcomes = 3Probability
3/6 = 1/2 or 50%A candidate scored 32 marks out of 80.find his percentage score
Answer:
40%
Step-by-step explanation:
Take the amount over the total
32/80
.4
Change to percent form by multiplying by 100
40 %
What is the domain of the given function?
Answer:
Domain = 3, 6, -1, 5, -4
Step-by-step explanation:
The Domain is the first coordinate of a coordinate set so it is x
Hope This Helps :)
Solve the equation for a 62=a(25-0)(25-50)
what are all the names that apply to 1/8 Irrational,Integer,Whole,Real, Or irrational
Answer:
Rational NumberReal numbersStep-by-step explanation:
Which refers to the rate of change in velocity?
Answer:
acceleration refers to the rate of change in velocity
Write an equation in slope-intercept form for the line that passes through the point ( 2 , 3 ) and is perpendicular to the line − 5 x + 4 y = − 3 .
The slope of a line in standard equation will be [tex]\frac{-A}{B}[/tex]
[tex]m=\frac{5}{4}[/tex]
The slope of a perpendicular line to this line will be opposite and reciprocal.
[tex]m=-\frac{4}{5}[/tex]
Then, we can plug in the point given to get the [tex]b[/tex] value.
[tex]3=-\frac{4}{5}(2)+b[/tex]
[tex]3=-\frac{8}{5}+b[/tex]
[tex]b=\frac{23}{5}[/tex]
[tex]y=-\frac{4}{5}x+\frac{23}{5}[/tex]
Hope this helps.
頑張って!
Solve for h : -37+h=-2
Answer:
h = 35
Step-by-step explanation:
Step 1: Write out equation
-37 + h = -2
Step 2: Add 37 to both sides
-37 + 37 + h = -2 + 37
h = 35
if a dog food costs 0.75 per pound, and dog bones cost 1.75 each, what is the cost of 2 bones and 25 pounds of dog food?
Answer:
2 bones and 25 pounds of dog food would cost $22.25
Step-by-step explanation:
Which number is a reasonable estimate for 553 +363?
A 1,300
B 1,000
600
D 200
its b because you can round 363 to 400 and 553 to 600 400 + 600 = 1000
58 POINTS!!! The line contains the point (8,2) and is parallel to a line with a slope of -2/3 The equation of the line is
Answer:
The answer is
[tex]y = - \frac{2}{3} x + \frac{22}{3} [/tex]Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
Since the lines are parallel their slope are also the same
So the slope of parallel line = - 2/3
So the equation of the line containing the point (8 , 2) and slope - 2/3 is
[tex]y - 2 = - \frac{2}{3} (x - 8) \\ y - 2 = - \frac{ 2}{3} x + \frac{16}{3} \\ y = - \frac{2}{3} x + \frac{16}{3} + 2[/tex]
We have the final answer as
[tex]y = - \frac{2}{3} x + \frac{22}{3} [/tex]Hope this helps you
Slope intercept form: y = mx + b
Parallel lines have the same slope, so the slope is -2/3.
We can solve using point slope form.
y - 2 = -2/3(x - 8)
y - 2 = -2/3x + 16/3
y = -2/3x + 22/3
Best of Luck!
Since cos(x) is the derivative of sin(x), then integral 16 sin^2(x) cos(x) dx can be done by substituting u = sin (x) sin (x) and du = cos (x) cos (x)^dx. With the substitution u = sin(x), we get integral 16 sin^2 (x) cos(x) dx = 16 integral u^2 du. which integrates to + C. Substituting back in to get the answer in terms of sin(x), we have integral 16 sin^2 (x) cos (x) dx = + C.
Complete
Find the integral of [tex]f(x) = 16sin^2 (x ) cos(x) dx[/tex]
Answer:
The solution is [tex]\frac{16}{3} sin^{3}x + c[/tex]
Step-by-step explanation:
So
[tex]Let \ u = sin(x)[/tex]
=> [tex]\frac{du}{dx} = cos (x)[/tex]
=> [tex]du = cos(x)dx[/tex]
So
[tex]\int\limits {16sin^2 (x ) cos(x) dx} \, \equiv \int\limits {16u^2 du}[/tex]
=> [tex]\int\limits {16u^2 du} = 16 [\frac{u^3}{3} ] + c[/tex]
Now substituting sin(x) for u
[tex]\frac{16}{3} u^3 + c = \frac{16}{3} sin^{3}x + c[/tex]
So the integral of [tex]f(x) = 16sin^2 (x ) cos(x) dx[/tex] is
[tex]\frac{16}{3} sin^{3}x + c[/tex]
Oliver reads 28 ½ pages of a book in 1 1/6 hours. Express his speed in pages per hour?
Answer:
Answer: The speed of Oliver is 24\dfrac{1}{3}24
3
1
pages per hour.
Step-by-step explanation: Given that Oliver reads 28\dfrac{1}{2}28
2
1
pages of a book in 1\dfrac{1}{6}1
6
1
hours.
We are to express his speed in pages per hour.
We will be using the UNITARY method to solve the given problem.
Number of pages read by Oliver in 1\dfrac{1}{6}=\dfrac{7}{6}1
6
1
=
6
7
hours is
=28\dfrac{1}{2}=\dfrac{57}{2}.=28
2
1
=
2
57
.
Therefore, the number of pages read by Oliver in 1 hour is given by
\dfrac{57}{2}\times\dfrac{6}{7}=24\dfrac{3}{7}.
2
57
×
7
6
=24
7
3
.
Thus, the speed of Oliver is 24\dfrac{1}{3}24
3
1
pages per hour.
Step-by-step explanation:
Plz Mark me as brainliest
Given:
p: Two linear functions have different coefficients of x.
q: The graphs of two functions intersect at exactly one point.
Which statement is logically equivalent to q-p?
If two linear functions have different coefficients of x, then the graphs of the two functions intersect at exactly one
point.
O If two linear functions have the same coefficients of x, then the graphs of the two linear functions do not intersect
at exactly one point.
If the graphs of two functions do not intersect at exactly one point, then the two linear functions have the same
coefficients of x.
O If the graphs of two functions intersect at exactly one point, then the two linear functions have the same
coefficients of x.
Answer:
Linear function A and linear function B both have the same input values as shown below. Why will the output values for linear function A always be different than the corresponding output values for linear function B? The initial values of the two functions are different, and the rates of change of the two functions are also different. The initial values of the two functions are different, and the rates of change of the two functions are the same. The initial values of the two functions are the same, and the rates of change of the two functions are different. The initial values of the two functions are the same, and the rates of change of the two functions are also the same.
Question Given the following functions f(x) and g(x), find (f ° g)(x).
f(x)=-x^2-x+7
g(x)=5x+4
Answer:
Step-by-step explanation:
g(x) = 5x + 4
f(5x + 4) = (5x + 4)^2 - (5x + 4) + 7
25x^2 + 40x + 16 - 5x - 4 + 7
25x^2 + 35x + 19
What is (6x10^6)(4x10^-1) ?
Answer:
Step-by-step explanation:
Multiply the 6 and 4 together. 6*4 = 24
The next part is a bit tricky. Add the powers on the base 10. Keep the base 10.
10^(6 - 1) = 10^5
Now put the two parts together. 24 * 10^5
The number in front of the 10 must be between 1 and 10.
So 24 can be written as 24 = 2.4 * 10^1
2.4 * 10^1 * 10^5 = 2.4 * 10^(5 + 1) = 2.4 * 10^6
Solve for x
4r – 9 – 6x = 21
Answer:
X= 30-4r/-6
Step-by-step explanation:
1. Move the 9 to the other side. (21+9=30)
2. subtract the 4r and move it to the other side (-6x=21-4r)
3. divide both sides by -6
For Elizabeth's lemonade recipe, 4 lemons are required to make 2 cups of lemonade. At what rate are lemons being used in cups of lemonade per lemon?
Answer:
2 lemons per cup
Step-by-step explanation:
4/2 is two.
Answer:
2 lemons per cup
Step-by-step explanation:
Is there a known infinite product for e? What I mean is, it’s similar to an infinite series.
"e" is an irrational number because it cannot be seen as a quotient of two integers. In the bright side, it can be shown as a continued fraction. "e" may also be used as an infinite product, infinite series, and any other limit to any sequence.
Best of Luck!
HELP! WILL GIVE BRAINLIEST IF YOUR ANSWER IS RIGHT Maria lives in Mexico. Both of her parents are Mexican. Maria is a Mexican citizen. She was born in an American hospital when her parents were on a short vacation in San Diego, California. Was Maria an American citizen at birth? Explain your answer.
Yes, Maria was a "citizen" of America.
What is citizenship?A legal status and relation between an individual and a state that entails specific legal rights and duties.
Given that, Maria lives in Mexico. Both of her parents are Mexican. Maria is a Mexican citizen. She was born in an American hospital when her parents were on a short vacation in San Diego, California.
The answer is yes,
A child born in American soil will be an American citizen.
Hence, Maria an American citizen at birth.
For more references on citizenship, click;
https://brainly.com/question/18099945
#SPJ2
write a quadratic equations given the roots 5/2 and 9
Answer:
(x-5/2)(x-9).
x^2-5/2x-5/2x+45/2.
Multiply the number by 2.
which is 2(x^2-5/2x-5/2x+45/2).
2x^2-5x-5x+45.
2x^2-10x+45.
m3 = 64
What’s the value of m
Answer:
m =64/3
Step-by-step explanation:
m=21 1/3 m=21.3
I need help PLEASE help mel
Answer:
A) The first checkbox
B) The first and third checkbox
Step-by-step explanation:
A) [tex]\frac{-5}{-4}[/tex] ⇒ the negative would cancel/cross out and leave you with [tex]\frac{5}{4}[/tex]
B) Look for one negative sign in either the numerator or denominator.
Perform the indicated operation. 11(-2), 22, 9, -22, -9 which one us it
Answer:
-22
Step-by-step explanation:
When numbers are placed closed like that, and have a parenthesis, you will multiply.
11(-2) = 11 * -2 = -22
-22 is your answer.
~
Answer:
[tex]\Huge \boxed{-22}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]11(-2)[/tex]
Multiplying,
[tex]\Longrightarrow \ \ 11*-2[/tex]
[tex]\Longrightarrow \ \ -22[/tex]
[tex]\rule[225]{225}{2}[/tex]
what exponent will make this true? Enter your naswer in the box 10?=1,000
Answer:
10 to the 2nd power
Step-by-step explanation:
How do u say 0.99999999 in words
Answer:
Zero Point Nine Nine repeating?
Step-by-step explanation:
Help please I don’t understand
Answer:
Answer is -6
Step-by-step explanation:
first do from small bracket -(-6)=+6
and then -6-6=-12
do-12+6=-6
what is 7 × 5 + (3 × 5)
7 x 5 + (3 x 5) First do the parenthesis
7 x 5 + 15 Next do multiplication (left to right)
35 + 15 Last add the two remaining numbers
50
Answer : 50
I need help to find the slope between these two points
Answer:
11/2
Step-by-step explanation:
[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1}}[/tex]