Jeffery took a drive to town at an average rate of 50mph. When he returns, he drove back at the rate of 30 mph. If he spent a total of 8 hours traveling, what is the distance traveled by Jeffery? Please answer.
Answer:
150 + 150 = 300
Step-by-step explanation:
50x = 30y
x + y = 8
~~~~~~~~~~~~~~~
x = 8 - y
50(8-y) = 30y
400 - 50y = 30y
400 = 80y
y = 5
x= 3
Will give brainliest
Answer:
about 15.08
Step-by-step explanation:
Angle BAC + Angle CAH = 180 (they are supplenmentary angles), which means (12x+4)+(x-20)=180
solve:
13x-16=180
13x=196
x≈15.08
Answer:
12x+4 + x-20 = 180
13x = 196
x = 15.08
Step-by-step explanation:
Gordon makes 4/5 of a recipe with 2/3 bag of cheese. At this rate, what fraction of the bag of cheese will Gordon use to make the entire recipe?
Answer:
Gordon will use 5/6 of the bag of cheese to make the entire recipe.
Step-by-step explanation:
We are given that Gordon makes 4/5 of a recipe with 2/3 bag of cheese.
And we want to determine what fraction of the bag of cheese Gordon will use to make the entire recipe.
We can write the following ratio:
[tex]\displaystyle \frac{\dfrac{2}{3}\text{ bag of cheese}}{\dfrac{4}{5}\text{ recipe}}[/tex]
Find the unit rate. Multiply both layers by 5/4:
[tex]\displaystyle \frac{\dfrac{2}{3}\text{ bag of cheese}}{\dfrac{4}{5}\text{ recipe}}\times \frac{\dfrac{5}{4}}{\dfrac{5}{4}}[/tex]
Multiply:
[tex]\displaystyle \frac{\dfrac{5}{6}\text{ bag of cheese}}{1 \text{ recipe}}[/tex]
In conclusion, Gordon will use 5/6 of the bag of cheese to make the entire recipe.
a region's average movie theater ticket price in 2007 was $6.72. For 2017, it was estimated to be $8.81. Find the percent of increase in average movie theater ticket price for this 10-year periods
Answer:
31.1011905%
Step-by-step explanation:
Take the new price and subtract the original price
8.81 - 6.72
2.09
Divide by the original price
2.09/6.72
.311011905
Change to percent form
31.1011905%
Percent of increase in average movie theatre ticket price will be 31.1%
Given prices of the ticket in two different years are,
In year 2007 price of the ticket was $6.72After 10 years price of the ticket is $8.81To calculate the percent increase in the price of an object expression to be used,
Percent increase = [tex]\frac{\text{Final price - Initial price}}{\text{Initial price}}\times 100[/tex]
= [tex]\frac{8.81-6.72}{6.72}\times 100[/tex]
= [tex]0.311\times 100[/tex]
= [tex]31.10[/tex]%
Therefore, percent of increase in the price of the ticket will be 31.1%
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Seven teenagers were asked what they charge hourly for babysitting,
The results are shown below. What is the median of these prices?
$8.00, $8.50, $9.00, $9.25, $9.50, $10.75, $11.00
Median- is the middle value whereby the values are place in order (ascending)
$9.25 is the median of these prices
5. * Your parents drove the family car 462 miles on 14 gallons of gas. On average, how many miles did the car travel on each gallon of gas (Write the expression and solve)?
Answer:
33 miles did the car travel on each gallon of gas
SOLVE FOR Y
2x-y=3
pls help
Answer:
x = 3+y/2
Step-by-step explanation:
Simplify 9/12 into simplest form
Seventeen more than twice a number is -13. What is the number?
Answer:
-15
Step-by-step explanation:
17+2a=-13
2a=-30
a=-15
A library wishes to build an access ramp for wheelchairs. The main entrance of the library is 8 ft. above sidewalk level. If the architect recommends a grade (angle of elevation) of 6°, how long must the access ramp be?
Answer:
About 76.5 ft.
Step-by-step explanation:
Draw a diagram of a right triangle. The shorter leg represents the height of the main entrance of the library, which is 8 ft. The longer leg won't matter in this case. The hypotenuse is what we're trying to find, so mark it as x. We know there's a 6° angle of elevation, so the 30° angle of the triangle will be 6° in this case. Now we have to use trig. Think of Soh Cah Toa. The 6° is opposite from 8 and the hypotenuse is x. So, the equation to find x would be:
sin (6°) = 8/x
Multiply both sides by x
sin (6°) * x = 8
Divide both sides by sin (6°)
x = 8/sin (6°)
When putting it into a calculator, your answer should be 76.534, which rounds to 76.5 ft.
John's family drinks
7/9 of milk a day.
How many liters do they drink in 4 days?
[tex]\frac{28}{9}[/tex] liters do they drink in 4 days.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
According to the question
John's family drinks 7/9 of milk a day.
Liters do they drink in 4 days: X
Using unitary method
X = [tex]\frac{7}{9} \times4[/tex]
X = [tex]\frac{28}{9}[/tex]
[tex]\frac{28}{9}[/tex] liters do they drink in 4 days.
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helpppppppppppppppppppppppppppp
Answer:
c. {1/15,16,1/17,18}
Step-by-step explanation:
please follow me
Answer:
[tex]{ \sf{set \:A \: and \: B }}[/tex]
Segment addition postulate help
cos(4x + pi/5) - sin 2x = 0
cos(4x + π/5) - sin(2x) = 0
Since cos(x + π/2) = -sin(x), we can write
cos(4x + π/5) = cos(4x + π/2 - 3π/10) = -sin(4x - 3π/10)
Then we can absorb the negative signs into either sin expression, using the fact that sin(-x) = -sin(x):
-sin(4x - 3π/10) - sin(2x) = 0
sin(3π/10 - 4x) + sin(-2x) = 0
Recall that
• sin(a + b) = sin(a) cos(b) + cos(a) sin(b)
• sin(a - b) = sin(a) cos(b) - cos(a) sin(b)
==> • 2 sin(a) cos(b) = sin(a + b) + sin(a - b)
We can further condense the left side in our equation if there exists a solution to
{ 3π/10 - 4x = a + b
{ -2x = a - b
We have
(a + b) + (a - b) = (3π/10 - 4x) + (-2x)
==> 2a = 3π/10 - 6x
==> a = 3π/20 - 3x
(a + b) - (a - b) = (3π/10 - 4x) - (-2x)
==> 2b = 3π/10 - 2x
==> b = 3π/20 - x
So in our equation, we have
sin(3π/10 - 4x) + sin(-2x) = 0
2 sin(3π/20 - 3x) cos(3π/20 - x) = 0
sin(3π/20 - 3x) cos(3π/20 - x) = 0
Solve for x :
sin(3π/20 - 3x) = 0 or cos(3π/20 - x) = 0
[3π/20 - 3x = arcsin(0) + nπ or 3π/20 - 3x = π - arcsin(0) + nπ]
or [3π/20 - x = arccos(0) + nπ or 3π/20 - x = -arccos(0) + nπ]
[3π/20 - 3x = nπ or 3π/20 - 3x = π + nπ]
or [3π/20 - x = π/2 + nπ or 3π/20 - x = -π/2 + nπ]
[3x = 3π/20 - nπ or 3x = -17π/20 - nπ]
or [x = -7π/20 - nπ or x = 13π/20 - nπ]
[x = π/20 - nπ/3 or x = -17π/60 - nπ/3]
or [x = -7π/20 - nπ or x = 13π/20 - nπ]
(where n is any integer)
6+7(x+5)<-25-2x
need help
Explain how to evaluate f (2) to a student that is
absent today.
8. Nathan has 3 jars, each containing either 5 or 10 marbles.
Which of the following could NOT be the total number of
marbles in all the jars? 30, 20, 35, 25
Answer:
35
Step-by-step explanation:
Because,
when we take the maximum values of marbles in a jar ,
that is each jar contains 10 marbles
then the total number of marbles in 3 jars is 30
so , the value 35 is not possible.
Thank you
HELP! WILL GIVE BRAINLIEST!!! I think it's D please check
Factor completely x3 + 5x2 − 3x − 15.
(x − 5)(x2 − 3)
(x + 5)(x2 + 3)
(x − 5)(x2 + 3)
(x + 5)(x2 − 3)
Answer:
(x + 5) (x^2 -3)
Step-by-step explanation:
[tex]x^{3} +5x^{2} - 3x - 15[/tex]
Do the grouping:
[tex]x^{3} +5x^{2} - 3x - 15 = (x^{3} +5x^{2}) + (-3x - 15)[/tex]
Then factor out [tex]x^{2}[/tex] in the first and −3 in the second group.
[tex]x^{2}(x+5) - 3(x+5)[/tex]
Factor out the common term x + 5 by using the distributive property.
Polynomial [tex]x^{2}-3[/tex] is not factored in since it does not have any rational roots, thus getting the following:
[tex](x+5)(x^{2} -3)[/tex]
Answer:
the fourth option (x+5)(x²-3)
Step-by-step explanation:
the "-15" tells us we need a 3 and a 5 with different signs.
that eliminates the first and the second options.
and the "5x²" tells us it has to be +5, as there is only one part in the whole multiplication that delivers a x² term (5×x²).
it is also confirmed for the same reasons by "-3x" that the other number has to be -3.
I NEED HELP WITH THIS IXL PROBLEM.
Step-by-step explanation:
S'(7,-4)
T'(7,-3)
U'(2,-7)
V'(2,-9)
IF(x)=3x+7, Find the image of 5
Answer:
f(5) = 22
Step-by-step explanation:
Substitute x = 5 into f(x) for image , that is
f(5) = 3(5) + 7 = 15 + 7 = 22
which quadrant will the line y= -1/4 x-15 never pass
Step-by-step explanation:
For x-intercept:
put y=0
0=-1/4 x -15
1/4x=-15
x=-15×4
x=-60
points(-69,0)
For y-intercept:
put x=0
y=-1/4(0)-15
y=-15
points(0,-15)
This line will never pass through first quadrant.
Note:if you need to ask any question please let me know.
The line will never pass through first quadrant.
What is intercept?The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.
Given line:
y= -1/4 x-15
Now, the x-intercept:
0=-1/4 x -15
1/4x=-15
x=-15×4
x=-60
and the y-intercept will be
y=-1/4(0)-15
y=-15
Hence, the line will never pass through first quadrant.
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if (2,3) bisects the line segment joining the points (a,6) and (8,b),then what are the values of a and b
Answer:
a
Step-by-step explanation:
another easy question pls answer
Answer:
22.5 degrees and 67.5 degrees
Step-by-step explanation:
complementary angles add up to 90°
x + 3x = 90°
4x = 90
90/4 = x
x = 22.5
The first angle is 22.5
The second angle is 3 times as much
22.5 x 3 = 67.5
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Make a sketch that matches the description: E is between F and G. H is between F and E.
Hi! I'm happy to help!
For this, you just simply follow the directions, and alter as you go. First, we need to place E between F and G, so we can put F and G on opposite sides of E.
F E G
From here, we put H between F and E
F H E G
I hope this was helpful, keep learning! :D
helpppppppppppp fast ill mark you brainlist or whatever !!! hurry i have one try
Elisa withdrew $22 at a time from her bank account and withdrew a total of $198. Frances withdrew $45 at a time from his bank account and withdrew a total of $270. Who made the greater number of withdrawals? (select) made the greater number of withdrawals, because she made withdrawals, while (select) only made withdrawals.
Step-by-step explanation:
Elisa made the greater number of withdrawals, because she made 9 withdrawals, while Frances only made 6 withdraws.
why reason distance cannot be negative?
Answer:
Distance cannot be negative because no matter which direction you travel, you will never travel negative units.
Step-by-step explanation:
Distance cannot be negative in the same way that when you put a car in reverse, the odometer does not go backwards.
If you have a mailbox 30 feet east of your house and a park 30 feet west of your house, you can think of it like a number line: your house is 0, the park is -30 and the mailbox is 30. But, if you walk to your park, you have not walked -30 feet.
Y=3x-5 please help ASAP
Therefore, a linear equation in two variables has infinitely many solutions. Thus, y = 3x + 5 has infinitely many solutions. Hence (iii) is the correct answer.
First to answer correctly gets brainliest
Clicking on the images makes it full
Answer:
a)
There are 6 planes - 5 faces of the pyramid and one base, which overlaps with the plane X.
b)
Collinear points are the points on the same line:
J, K, D are collinearc)
The intersection of planes X and HGD is the line section HG.
a:-
This is a pentagonal pyramid
It has 5 planes on sides and one is on base.Total 6planes.B:-
J-F-L and J-K-DC:-
HG is the intersection line
what is the distance between points (6,-5) and (2,-2)
Answer:
5.
Step-by-step explanation:
Distance = √(2-6)^2 + (-2-(-5)^2)
= √(16 + 9)
= √25
= 5.
Hello ;)
We can calculate the distance between two points by knowing their coordinates.
Here is the formula :
Let two points [tex]A(x_{A};y_{A})[/tex] and [tex]B(x_{B};y_{B})\\[/tex]
The distance between those two points is given by using this formula :
[tex]AB^{2} =(x_{B}-x_{A})^{2} +(y_{B}-y_{A})^{2}[/tex]
Now, we can use this formula in your exercice.
(2 - 6)² + (-2 - (-5))²
= (-4)² + 3²
= 16 + 9
= 25
Do not forget to do the square root of 25 ;)
So we obtain : [tex]\sqrt{25}=5[/tex]
The distance between points (6 ; -5) and (2 ; -2) is 5 units of lengh.
:-)
Ok I still don’t get this pls help!
Answer:
p and q value is 70 deg and r,s,t and u is 110 deg
Step-by-step explanation:
I. If half circle = 180°
when p = q = 70°
so r = s = t = u = 180 - 70 = 110°
Step-by-step explanation:
[tex]thank \: you[/tex]