Jose drove to the mountains last weekend. There was heavy traffic on the way there, the trip took eight hours. When jose drove home, there was no traffic and the trip only took five hours. If his average rate was 21 mph faster on the trip home, how far away does jose live from the mountains
Answer:
The distance is 280 miles
Step-by-step explanation:
Given
When going to the mountain:
Let the speed be x.
[tex]Speed = x[/tex]
[tex]Time = 8[/tex]
When going home:
[tex]Speed = 21 + x[/tex]
[tex]Time = 5[/tex]
Required
Determine the distance of the mountains
Distance is calculated as:
[tex]Distance = Speed * Time[/tex]
When going to the mountains, the distance is:
[tex]Distance = x * 8[/tex]
When going home, the distance is:
[tex]Distance = (21 + x) * 5[/tex]
It should be noted that, the distance is the same.
So, we have:
[tex]x * 8 = (21 + x) * 5[/tex]
Open bracket
[tex]x * 8 = 21* 5 + x * 5[/tex]
[tex]8x = 105 + 5x[/tex]
Collect Like Terms
[tex]8x - 5x= 105[/tex]
[tex]3x= 105[/tex]
Divide both sides by 3
[tex]x= \frac{105}{3}[/tex]
[tex]x= 35[/tex]
Substitute 35 for x in
[tex]Distance = x * 8[/tex]
[tex]Distance = 35 * 8[/tex]
[tex]Distance = 280[/tex]
The distance is 280 miles
What is the domain of the given function? {(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)}
a {y | y = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9}
b {y | y = –2, 0, 1, 4, 9}
c {x | x = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9}
d {x | x = –4, –1, 3, 5, 6}
PLZ HELP I GIVE U BRAINLIEST
Answer:
4 wholes 3 out of 8
Step-by-step explanation:
...........
Step-by-step explanation:
convert mixed to improper fraction.
5/3×21/8
35/8
can someone help me with this?
Answer:
8
Step-by-step explanation:
This problem uses the pythagorean theorem. 15 squared plus 8 squared equals 17 squared.
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School: Practice & Problem Solving
Assignme
x) 5.3.PS-7
Question Help
Together, teammates Pedro and Ricky got 2690 base hits last season. Pedro had 284 more hits than
Ricky. How many hits did each player have?
Pedro had base hits.
S
(1,1)
More
Answer:
can you explain more ........waht is this
Step-by-step explanation:
Find the measure of the arc or angle indicates
Answer:
b
Step-by-step explanation:b
PLSSS I NEED HELP. I'll give you 20 points.
How many solutions does the system have. Explain how you know. For example do you solve it by substitution, elimination, f(x)=g(x). Is the answer going to be Infinite many solution, no solution, or one solution.
Answer:
ya, its no solution :)
Step-by-step explanation:
you subsitute the -1x + 3 in to the x + y=3 So the equation would be
x -1x + 3=3 and then you solve!
The ratio of the measures of the angles of a triangle is 5:6:7 find the measures of the angles of the triangle.
Answer:50°
Step-by-step explanation:
Let x represent the scale factor, the ratios are multiplied by:
5x°+6x°+7x°=180°
18x°=180°
x=10
Smallest Angle 5x°=5(10)°=50°
which mixed number is equivalent to the improper fraction? 23/3
A. 6 5/3
B. 8 1/3
C. 7 1/3
D. 7 2/3
Answer:
72/3. d)
Step-by-step explanation:
You can mark me as brainiest if you want
Five-foot-tall Melody casts an 84-inch shadow. How tall is her friend if, at the same time of day, his shadow is 1 foot shorter than hers?
Answer:
The height of her friend is 4.826 feet.
Step-by-step explanation:
The length of the shadow ([tex]x_{S}[/tex]), measured in feet, is directly proportional to the height of the person ([tex]x_{P}[/tex]), measured in feet. That is:
[tex]x_{P} \propto x_{S}[/tex]
[tex]x_{P} = k\cdot x_{S}[/tex] (1)
Where [tex]k[/tex] is the proportionality constant, no unit.
We can eliminate this constant by constructing this relationship:
[tex]\frac{x_{P,M}}{x_{S,M}} = \frac{x_{P,F}}{x_{S,F}}[/tex] (2)
Where M and F represents Melody and Melody's friend. If we know that [tex]x_{P,M} = 5\,ft[/tex], [tex]x_{S,M} = 7\,ft[/tex] and [tex]x_{S,F} = 6\,ft[/tex], then the height of his friend is:
[tex]x_{P,F} = \left(\frac{x_{P,M}}{x_{S,M}} \right)\cdot x_{S,F}[/tex]
[tex]x_{P,F} = \left(\frac{5\,ft}{7\,ft}\right)\cdot (6\,ft)[/tex]
[tex]x_{P,F} = 4.286\,ft[/tex]
The height of her friend is 4.826 feet.
The sea floor is 104 feet below sea level. Katy is 28 feet below sea level. She is moving downward at a rate of 4 feet per minute. Colin used the following calculation to determine how long it will take Katy to reach the sea floor. Is he correct? Explain.
Answer:
19 minutes
Step-by-step explanation:
Taking the sea level as the reference point, the values of depths to be considered can be determined as follows;
Total depth from sea level to the sea floor = 104 feet
Katy's depth from the sea level (depth covered) = 28 feet
Katy's distance to the sea floor = 104 - 28
= 76 feet
Katy's distance to the sea floor = 76 feet
But Katy moves at a rate/ speed of 4 feet per minute;
So that,
speed = [tex]\frac{distance}{time}[/tex]
time = [tex]\frac{distance }{speed}[/tex]
= [tex]\frac{76}{4}[/tex]
= 19
time = 19 minutes
Therefore it would take Katy 19 minutes to reach the sea floor.
Answer:
Step-by-step explanation:
No, Colin is not correct. He needs to subtract first to get the total distance and then divide by the rate. He should have put parentheses around 104–28 and then divided by 4 to get the answer of 19 minutes.
What is the arc measure, in degrees, of major arc \stackrel{\large{\frown}}{ADC} ADC ⌢ A, D, C, start superscript, \frown, end superscript on circle PPP below?
Answer:
[tex]\stackrel{\large{\frown}}{ADC} = 186^{\circ}[/tex]
Step-by-step explanation:
Given
See attachment
Required
Determine the measure of [tex]\stackrel{\large{\frown}}{ADC}[/tex]
[tex]The\ sum\ of\ angles\ in\ a\ circle\ is[/tex] [tex]360^{\circ}[/tex].
So, we have:
[tex]\stackrel{\large{\frown}}{ADC} + \stackrel{\large{\frown}}{APB} + \stackrel{\large{\frown}}{BPC} = 360^{\circ}[/tex]
Where:
[tex]\stackrel{\large{\frown}}{APB} = 70^{\circ}[/tex]
[tex]\stackrel{\large{\frown}}{BPC} = 104^{\circ}[/tex]
Substitute these values in the above equation.
[tex]\stackrel{\large{\frown}}{ADC} + 70^{\circ} +104^{\circ} = 360^{\circ}[/tex]
[tex]\stackrel{\large{\frown}}{ADC} + 174^{\circ} = 360^{\circ}[/tex]
Collect Like Terms:
[tex]\stackrel{\large{\frown}}{ADC} = 360^{\circ} - 174^{\circ}[/tex]
[tex]\stackrel{\large{\frown}}{ADC} = 186^{\circ}[/tex]
Answer:
186 is correct on khan academn=y
18 + a > 21 inequalities
Answer:
39
Step-by-step explanation:
The girls track team won 8 races and lost 2. Write the ratio of wins to total races in lowest terms
Answer: 4:1
Step-by-step explanation: it would start at 8:2 and the lowest terms it can go are 4:1
Answer:
5 : 4
Step-by-step explanation:
1. Find the total number of games
8 + 2 = 10
2. Create a ratio for number games vs. games won
10 : 8
3. Divide both numbers by 2
5 : 4
which rate is faster 2 feet per second or 2 seconds per foot, or are both rates the same
Answer:
2 feet per second is faster.
Step-by-step explanation:
2 seconds per foot would also equal half a foot per second, which is less than 2 feet per second.
3 squared=9 2(9)=18 18(5) 90
Answer:
Urhrndjdbgndidbgndotvsktvg
I need help AGAIN lol- I'll mark brainliest :3
Simplify it- don't solve it. Show your work too please!
Answer:
you have to apply to both things in the bracket. its r^12*t^12
Step-by-step explanation:
The record high temperature at the South Pole is 10°F. The record low temperature at the South Pole is
–
117°F.
How many degrees warmer is the record high temperature than the record low temperature?
Answer:
127 degrees f
Step-by-step explanation:
-117 + ? = 10
Select ALL of the following inequalities that could represent the situation:
4 more than x is at least 22
Answer:
Can anyone please answer my question please I need it please
Answer:
x + 4 [tex]\geq[/tex] 22
Step-by-step explanation:
maybe, i'm not sure
How do you write this polynomial in standard form?
Answer:
You can also work on the ways that you write polynomials. One way to write a polynomial is in standard form. In order to write any polynomial in standard form, you look at the degree of each term. You then write each term in order of degree, from highest to lowest, left to right.
Step-by-step explanation:
Write the expression 3x−8+4x5 in standard form.
First, look at the degrees for each term in the expression.
3x has a degree of 1
8 has a degree of 0
4x5 has a degree of 5
Next, write this trinomial in order by degree, highest to lowest
4x5+3x−8
The answer is 4x5+3x−8.
The degree of a polynomial is the same as the degree of the highest term, so this expression is called a fifth degree trinomial.
help PLEASE !! ALGEBRA 1
Answer:b
tep-by-step explanation:
Sarah is watching a video online that is 246.987 seconds long. She writes this time in expanded form. Which expression represents the value of one of the digits in the length of the video?
Answer:
Sarah is watching a video online that is 4.7 minutes long.
Step-by-step explanation:
As we know 60 sec = 1 minute
⇒60×4 sec = 1×4 minutes
⇒240 sec = 4 minutes
⇒246.987 ≈ 247
= 240 + 7 seconds
= 4 minutes 7 seconds
= 4.7 minutes
∴ we get
Sarah is watching a video online that is 4.7 minutes long.
HELP I AM CONFUSION WHATS THE ANSWERRR
Salim built a rectangular prism with a length of 5 inches, a width of 4 inches, and a height of 3 inches. Would the prism Natalie built with a length of 3 inches, a width of 4 inches, and a height of 5 inches have the same volume or a different volume than Salim’s prism?
Answer:
same volume
Step-by-step explanation:
5X4X3=60, 3X4X5=60
cuál es el resultado de
98.45 × 57.85
Answer:
98.45 × 57.85 = 5696.3325
Step-by-step explanation:
Espero y te ayude esta respuesta :)
Pleaseee helpp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!!
Answer:
720
Step-by-step explanation:
interior angles of a hexagon is 720
How might snakes running out of food affect other organisms such as hawks? please help
Answer:
The population of Hawks and other species would likely start to edge off.
Step-by-step explanation:
Commonly, a Food Chain is dependent on all the parts of it sataying at a perfect point. If the food that the Snakes eat starts to run out, more of them will die off. With less Snakes, the Hawks will then have less food, and that continues throughout the chain. The same thing would happen if there was too much food, except instead of the populations of species dying off, the Snake population would spike.
Find the values of b such that the function has the given minimum value.
f(x) = x2 + bx − 21;
Minimum value:
−70
Answer: b = 14.
Step-by-step explanation:
We have the function:
f(x) = x^2 + b*x - 21
The minimum of a quadratic function will be at the vertex, and the vertex is at the value of x such that:
f'(x) = 2*x + b = 0
then the vertex is at:
x = -b/2
Then the minimum of the function f(x) will be:
f(-b/2) = (-b/2)^2 + b*(-b/2) - 21
and we know that the minimum value is -70, then:
f(-b/2) = -70 = (b^2)/4 - (b^2)/2 - 21
Now we need to solve this equation for b.
-70 = (b^2)/4 - (b^2)/2 - 21
-70 = -(b^2)/4 - 21
-70 + 21 = -(b^2)/4
49 = (b^2)/4
49*4 = b^2
196 = b^2
√196 = b = 14
The value of b is 14.
21х + 7у = 42
- 5х + 5y = 10
X and y
Answer:
X=5 y=7
Step-by-step explanation:
i am pretty sure im right. if im wrong im sorry
Answer:
Step-by-step explanation:
21x + 7y = 42
-5x + 5y = 10
105x + 35y = 210
-35x - 35y = -70
70x = 140
x = 2
-10 + 5y = 10
5y = 20
y = 4
(2, 4)
3. Would it be more efficient to use an inequality vo
or to list all of the quantities less than 6? Explain.
Answer:
Inequality
Step-by-step explanation:
There are an infinite number of quantities less than 6 (5, 4, 3, 2, 1, 0, -1, -2, -3...) so it is much easier to write an inequality