Answer:
-4
Step-by-step explanation:
Use slope intercept form: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{-7-5}{1-(-2)}[/tex]= [tex]\frac{-12}{3}[/tex]= -4
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
13
11
Answer:
use a2+b2=c2 so
Step-by-step explanation:
11(squared)+b(squared)=13(squared)
=121+b2=169
-121. -121
b2= 48
square root 48
Side B= 6.928
and then just round 6.928
hope this helped
Using the Pythagorean Theorem, it is found that the side length is of x = 6.93.
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
In this problem, we have that:
[tex]h = 13, l_1 = 11, l_2 = x[/tex]
Hence, applying the Theorem:
[tex]h^2 = l_1^2 + l_2^2[/tex]
[tex]13^2 = 11^2 + x^2[/tex]
[tex]x^2 = 169 - 121[/tex]
[tex]x = \sqrt{48}[/tex]
x = 6.93.
More can be learned about the Pythagorean Theorem at https://brainly.com/question/26396675
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You are running a fuel economy study. One of the cars you find is blue. It can travel 44 1/2 gallons of gasoline. Another car is red. It can travel 25 3/5 on 4/5 gallons of gasoline. What is the unit rate for miles per gallon for each car? Which car could travel the greater distance on 1 gallon of gasoline?
Question:
You are running a fuel economy study. One of the cars you find is blue. It can travel [tex]44\frac{1}{2}[/tex] miles on [tex]1\frac{1}{4}[/tex] gallons of gasoline.
Another car is red. It can travel [tex]25\frac{3}{5}[/tex] on [tex]\frac{4}{5}[/tex] gallon of gasoline.
What is the unit rate for miles per gallon for each car?
Which car could travel the greater distance on 1 gallon of gasoline?
Answer:
(a)
[tex]Rate = 35\frac{3}{5}\ miles\ per\ gallon[/tex]
[tex]Rate = 32\ miles\ per\ gallon[/tex]
(b)
The blue car will travel faster
Step-by-step explanation:
Given
Blue Car:
[tex]Distance = 44\frac{1}{2}\ miles[/tex]
[tex]Gasoline = 1\frac{1}{4}\ gallons[/tex]
Red Car
[tex]Distance = 25\frac{3}{5}\ miles[/tex]
[tex]Gasoline = \frac{4}{5}\ gallons[/tex]
Solving (a):
This is solved by dividing the distance travelled by the amount of gasoline.
i.e.
[tex]Rate = Distance/Gasoline[/tex]
Blue Car:
[tex]Rate = 44\frac{1}{2} / 1\frac{1}{4}[/tex]
[tex]Rate = \frac{89}{2} / \frac{5}{4}[/tex]
[tex]Rate = \frac{89}{2} * \frac{4}{5}[/tex]
[tex]Rate = \frac{89}{1} * \frac{2}{5}[/tex]
[tex]Rate = \frac{89 * 2}{1 * 5}[/tex]
[tex]Rate = \frac{178}{5}[/tex]
[tex]Rate = 35\frac{3}{5}\ miles\ per\ gallon[/tex]
Red Car:
[tex]Rate = 25\frac{3}{5}/\frac{4}{5}[/tex]
[tex]Rate = \frac{128}{5}/\frac{4}{5}[/tex]
[tex]Rate = \frac{128}{5} * \frac{5}{4}[/tex]
[tex]Rate = \frac{128 * 5}{5 * 4}[/tex]
[tex]Rate = \frac{128}{4}[/tex]
[tex]Rate = 32\ miles\ per\ gallon[/tex]
(b)
In (a), we have:
[tex]Rate = 35\frac{3}{5}\ miles\ per\ gallon[/tex] --- Blue Car
[tex]Rate = 32\ miles\ per\ gallon[/tex] --- Red Car
By comparison:
The rate of the blue car is greater than that of the red
Hence, the blue car will travel faster
help me how do I solve 2(m+3) =22
Answer:
m = 8
22/2 = 11
11 - 3 = 8
m = 8
The product of 3 x is less than 9
what is 30% as a fraction in simplest form.
Answer:
3/10
Step-by-step explanation:
3/10
In simplest form, 30% as a fraction is 3/10. We know that 30% = 30/100
a(b + c) = a • b + a • c, where a, b, and c are real numbers
Use the distributive property to simplify the expression.
8(3 + 4) = 24 +
Answer:
a(b + c) = a • b + a • c
=> 8(3 + 4) = 8.3 + 8.4 = 24 + 32
Step-by-step explanation:
Answer:
The answer for the blank is 32
Step-by-step explanation:
three more than the quotient of a number and 7 is at most 92. Find the number
Answer:
The number is 623.
Step-by-step explanation:
[tex]\frac{x}{7}+3 =92\\\frac{x}{7} =89\\x=623[/tex]
1. Andrew went to FYE to buy music for the band. He spent a total of $112 on 14 music purchases. one Music CDs were on sale for $10 and cassettes were on sale for $3. How much did Andrew pay for each music CD and each cassette tape? Enter your one-sentence interpretation in the space below.
Answer:
Total Money spent on Music CDs = 10 [tex]\times[/tex] 10 = $100
Total Money spent on Cassette tapes = 4 [tex]\times[/tex] 3 = $12
Step-by-step explanation:
Given that:
Total money spent = $112
Number of music purchases = 14
Cost of one Music CD = $10
Cost of one cassette = $3
To find:
How much money was paid for each music CD and each cassette.
Solution:
Let the number of Music CDs purchased = [tex]x[/tex]
Money spent on Music CDs = [tex]\$10\times x[/tex]
Then the number of cassette tapes purchased = [tex]14-x[/tex]
Money spent on cassette tapes = [tex]\$3\times (14-x)[/tex]
As per the question statement:
[tex]10x+3(14-x)=112\\\Rightarrow 10x+42-3x=112\\\Rightarrow 7x=112-42\\\Rightarrow 7x=70\\\Rightarrow x =10[/tex]
Therefore, number of Music CDs purchased = 10
Total Money spent on Music CDs = 10 [tex]\times[/tex] 10 = $100
And number of cassette tapes purchased = 14 - 10 = 4
Total Money spent on Cassette tapes = 4 [tex]\times[/tex] 3 = $12
Only number 12 plz I’ll give brainliest(ASAP)
Answer:
120 m/h
120 m/(3600 seconds)
(1/3)m/s
15 * (1/3) = 5
He travels 5 miles in 15 seconds
Step-by-step explanation:
A scale drawing of a rectangular flag is 12 inches long and 8 inches wide. If the scale is 1 inch: 2.4 feet, what is the length and width of the actual flag?
Answer: length = 28.80 feet
Width = 19.20 feet
Step-by-step explanation:
Scale used = 1 inch:2.4 feet
Length or scale drawing = 12 inches
Width of scale drawing = 8 inches
Length of actual flag = (12 × 2.4 feet) = 28.80 feet
Width of actual flag = (8 × 2.4 feet) = 19.20 feet.
Answer:Answer: length = 28.80 feet
Width = 19.20 feet
Step-by-step explanation
Scale used = 1 inch:2.4 feet
Length or scale drawing = 12 inches
Width of scale drawing = 8 inches
Length of actual flag = (12 × 2.4 feet) = 28.80 feet
Width of actual flag = (8 × 2.4 feet) = 19.20 feet.
The gas tank in sampson car has a capacity of 19.1 gallons . on a Tripp to see his cousin , Sampson begins with 12.8 gallons if gas in the tank he stops after driving for 2 hours and fills the tank to capacity with 14.4 gallons. When sampson arrives at his cousins house he has 3.7 gallons of gas left. How much gas , did sampson use on his trip
Answer:
23.5 gallons
Step-by-step explanation:
The gas tank in Daniel's car has a capacity of 19.1 gallons.
On a trip to see his best friend Daniel begins with 12.8 gallons of gas in the tank.
He stops after driving for 2 hours and fills the tank to capacity with 14.4 gallons.
When Daniel arrives at his friend's house, he has 3.7 gallons of gas left.
Total amount of gas filled was (12.8 + 14.4) = 27.2 gallons.
The amount of gas remaining after the trip was 3.7 gallons
The amount of gas, in gallons, used by Daniel on his trip was 27.2 - 3.7 = 23.5 gallons
Answer:
fat nuts
Step-by-step explanation:
i forgor
What is 254−−√+524−−√ in simplified radical form?
Enter your answer in the box.
Answer:
Step-by-step explanation:
2√54+5√24
2 * sqrt(9*6) + 5*sqrt(4*6)
2*sqrt(9) *sqrt(6) + 5*sqrt(4) * sqrt(6)
2*3 sqrt(6) + 5*2 sqrt(6)
6sqrt(6)+10sqrt(6)
16sqrt(6)
Answer:
16sqrt(6)
Step-by-step explanation:
Solve the equation using square roots.
2(x + 1)2 - 7 = 25
solution: x=
x=7
I'm sorry if I'm wrong
HELP! WILL MARK BRAINLIEST, PAST DUE!!!
Answer:
1/2 and - 1/2
Step-by-step explanation:
umm ok so for slope you do m = y2-y1/ x2-x1 which can probably be any point since they havent specified so we will do
A) L (-8,8) and (0,4)M
m= 4-8/0-8
=-4/-8
= 1/2
B ) now for b its asking for the certain points of
n and p
(4,2) N and (8,0) P
m= y2-y1/x2-x1 = 0-2/8-4= -2/4 = - 1/2 for ur slope
these should be right.
what is y=x+1
y+2x=10
Answer:
listin or read but i will try to help you as much as i can
Step-by-step explanation:
The atomic number of an element B is 17. The number of electrons in its ion B will be:
(a) 17 (b) 18. (c) 19. (d) 20.
answer with explanation
Answer:
18
Step-by-step explanation:
don't step answer. Because I am lol
it cost $3.45 to buy 3/4 lb of chopped walnuts. how much would it cost to purchase 7.5 lb of walnuts
Answer:
$34.5
Step-by-step explanation:
4/3x3.45=4.6
7.5x4.6=34.5
Emilio drew a line that is modeled by the equation y-4=3(x-2) what is the slope of the line?
Please help! ! ! ! !
PLEASE HELP 30 POINTS...PLEASE HELP PLEASE
Answer:
u haven't attached anything
but if u need any help ask the question again or put it in the comments
ur welcome
Answer:
free points
Step-by-step explanation:
Mandy makes beaded bracelets and sells them for $5 each. If she sells the bracelets for 250% of the cost of her materials, how much does each bracelet cost to make?
Each bracelet costs $
to make.
Answer:
Each bracelet cost $2 to make.
Step-by-step explanation:
I did the assignment.
Answer:
$2
Step-by-step explanation:
(Brainliest plz) if im right
Find the value of X in the triangle
Answer:
44°Step-by-step explanation:
[tex]m\angle BAC=180^o-124^o=56^o\\\\\overline{AB}=\overline{BC}\quad\implies\quad m\angle BCA=m\angle BAC=56^o\\\\m\angle ABC=180^o-2\cdot56^o=68^o[/tex]
[tex]m\angle DBE=m\angle ABC=68^o[/tex] {vertical angles}
[tex]\overline{BD}=\overline{DE}\quad\implies\quad m\angle DEB=m\angle DBE=68^o\\\\m\angle x=180^o-2\cdot68^o=44^o[/tex]
A streetlight that is 10 feet tall casts a 2.5-foot-long shadow. A nearby flagpole casts a 9-foot-long shadow. What is the height of the flagpole?
Answer:
The height of the flagpole is 36 feet
Step-by-step explanation:
The given parameters are;
The height of the street light = 10 feet
The shadow cast by the streetlight = 2.5 feet
The shadow cast by the flagpole = 9 foot
The height of the flagpole is given as follows;
The height of the street light/(The shadow cast by the streetlight) = (The height of the flagpole)/(The shadow cast by the flagpole)
∴ The height of the flagpole = (The shadow cast by the flagpole) × (The height of the street light)/(The shadow cast by the streetlight)
By substituting the values, we get;
The height of the flagpole = 9 ft. × 10 ft./2.5 ft. = 36 feet
The height of the flagpole = 36 feet.
help!!
3x+6x+14=41
Solving Multi-Step Equations by Combining Like Terms
Answer:
x = 3
Step-by-step explanation:
Given
3x + 6x + 14 = 41, that is
9x + 14 = 41 ( subtract 14 from both sides )
9x = 27 ( divide both sides by 9 )
x = 3
Answer:
x=3
Step-by-step explanation:
3x+6x+14=41
9x + 14 = 41
- 14 = - 14
9x = 27
x=3
The sanctuary’s gift shop purchases items for the amount shown in the table. Leo marks up the cost of each item by 45% to determine the gift shop’s selling price. How much would a customer pay for one pair of binoculars and one bird guide after the mark-up and 8.5% sales tax?
Answer:21.50 dollars
Step-by-step explanation:
The customer pays an amount of $26.74 for one pair of binoculars and one bird guide after the mark-up and 8.5% sales tax
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
According to the given, the required solution would be as:
Mark up for binoculars = 10 x 1.45 = 14.50
14.5 x 1.085 = 15.7325 in sales tax
The total cost per binocular is $15.73 ($).
Bird Guide Commission = 7 x 1.45 = 10.15
10.15 x 1.085 = 11.01275 Sales Tax
The total cost per Bird Guide is $11.11 ($).
The addition provides one of each.
⇒ 15.73 + 11.01 = 26.74
Thus, the customer pays an amount of $26.74 for one pair of binoculars and one bird guide after the mark-up and 8.5% sales tax
Learn more about the percentages here:
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please help
I need it right now
thank you
Answer: Okay, I can't answer 1. and 2. because I don't know who Iris is, an the team/students
Send a pic of the teams
Step-by-step explanation:
Using the graph, find the
1. Domain
2. Range
3. Is it a function? Why or why not?
9514 1404 393
Answer:
domain: {-5, -4, 2, 5}range: {-6, 1, 3, 4, 5}no: fails the vertical line testStep-by-step explanation:
The domain is the list of x-values of the points on the graph. It is ...
{-5, -4, 2, 5}
The range is the list of y-values of the points on the graph. It is ...
{-6, 1, 3, 4, 5}
__
Two of the points, (2, 1) and (2, 4), have the same x-value. When a single input has multiple outputs, the relation is not a function.
If you were to draw a vertical line at x=2, it would intersect the relation in more than one place. Thus, we say the relation "fails the vertical line test." A vertical line will never intersect the graph of a function in more than one place.
HELPPPP! ILL GIVE YOU BRAINLIEST!
Answer:Can you put the question?? Thank You
Step-by-step explanation:
Answer:
what can i help with?
Step-by-step explanation:
Which table shows the same relationship as the graph? Explain thank you!
Which lines are parallel
Answer:
Step-by-step explanation:
the 2nd answer choice
Answer:
a, b, and c
Step-by-step explanation:
You can see that they will never intersect, therefore they are all parallel to each other.
I hope this helped, please mark Brainliest, thank you!
