if x = 54 and y = 126, calculate the value of x / √y in its simplest form
Answer:
18/root(14)
Step-by-step explanation:
x=54
y=126
x/root(y)
54/root(126)
54/root(3x3x14)
54/3(root(14))
18/root(14)
3x+⅝>4x-½ select from the drop down menus to correctly justify each step.
Step-by-step explanation:
3x-4x>-1/2-5/8
-x>-9/8
x<9/8
A ramp is 35 ft long rises to a platform. The bottom is 15 ft from the foot of the ramp. Find x, the angle of elevation of the ramp. Round your answer to the nearest tenth of a degree.
Answer:
The angle of elevation of the ramp is 64.60°
Step-by-step explanation:
Given;
length of the ramp, L = 35 ft
distance of the platform to the foot of the ramp, d = 15 ft
The length of the ramp forms the hypotenuse side of this right angled triangle;
The angle of elevation of the ramp is in angle between the hypotenuse and adjacent side of the triangle.
Cos x = adjacent / hypotenuse
Cos x = 15 / 35
Cos x = 0.4286
x = Cos⁻¹ (0.4286)
x = 64.62
x = 64.60°
Therefore, the angle of elevation of the ramp is 64.60°
A sporting goods sold 2.5 times as many football as basketball last year drag footballs to represent the number of football sold for every 2 basketball sold.
Answer:
5 footballs were sold for every 2 basketballs sold.
Step-by-step explanation:
2.5 times as many football as basketball was sold last year
This can be represented as
1 basket ball sold = 2.5 footballs sold
for every 2 basketball sold, number of football sold = 2.5 x 2 = 5 footballs
If you go on a road trip of 270 miles in the mountains and 7/ 10 of the trip is downhill, how many miles of the trip are not downhill? Reduce to the lowest terms.
Answer:
81 miles
Step-by-step explanation:
From the question 7/10 of the trip has been said to be downhill. It therefore means that 3/10 is not downhill.
Miles = 270
Downhill = 7/10
Not downhill = 3/10
Now we have To calculate Miles that are not downhill (uphill)
But first I calculated for the number of downhill miles
270x7/10
Downhill = 189 miles
To get the number of not downhill miles
I subtracted 189 from the total number of miles on the question.
270 - 189
= 81 Miles.
Therefore 81 Miles of the trip are not downhill.
If you have anymore questions or need clarity please let me know on the comment section. Thank you and Good luck!
Point J is on line segment IK. Given IK = 15 and JK = 6, determine the
length IJ.
Answer:
[tex]\huge\boxed{IJ = 9}[/tex]
Step-by-step explanation:
Given that J is on line segment IK.
So, it is like:
I______?_______J___6___K
|<--------------------15---------------->|
We know that:
IK = IJ + JK
Where IK = 15 and JK = 6
15 = IJ + 6
Subtracting 6 to both sides
IJ = 15 - 6
IJ = 9
Please solve this question and show your work! Thank you!
Answer:
[tex]u<-1\text{ or } u>2[/tex]
Step-by-step explanation:
So we have the equation:
[tex]-3|2-4u|+5<-13[/tex]
First, subtract -5 from both sides:
[tex]-3|2-4u|<-18[/tex]
Divide both sides by -3. Since we are dividing by a negative, we will flip the sign:
[tex]|2-4u|>6[/tex]
Definition of absolute value:
[tex]2-4u>6\text{ or } 2-4u<-6[/tex]
Note that we flip the sign on the right because we multiplied 6 by a negative.
On both the left and right, subtract 2:
[tex]-4u>4\text{ or } -4u<-8[/tex]
Divide both equations by -4. Since we're dividing by a negative, flip the signs:
[tex]u<-1\text{ or } u>2[/tex]
So, our final solution is:
[tex]u<-1\text{ or } u>2[/tex]
And we're done!
find the X in the following figure
Answer:
x = 135°
Step-by-step explanation:
Sum of interior angles of a pentagon is 540°
x + 80 + 110 + 95 + 120 = 540
--> x = 540 - 80 - 110 - 95 - 120 = 135
Convert 15°C to °F (to the nearest tenth).
15°c = 59°f
because :
(15 °C × 9/5) + 32 = 59 °F
===
so to the nearest tenth its doing 60°f
(– 2y2 + 6y – 1) - (- 4y2 – 3y +9)
Answer:
Step-by-step explanation:
-2y^2 + 6y - 1 + 4y^2 + 3y - 9
2y^2 + 9y - 10
Dao receives an employee discount on the purchase of a new automobile. The automobile that he is interested in has a sticker price of $18,560. If his discount is 18 percent, what is the price that Dao will pay?
$3,340.80
$3,712.00
$12,992.00
$15,219.20
Answer:
D. $15,219.20
Step-by-step explanation:
given:
The automobile that he is interested in has a sticker price of $18,560.
If his discount is 18 percent,
find:
what is the price that Dao will pay?
solution:
sale price = $18,560 - (0.18 x $18,560) = $15,219.20
therefore,
Dao will pay $15,219.20
the answer is D.
im taking the test right now..
(GIVING BRISTLIEST) What is 50x+100x-50y?
Answer:
[tex]50(3x-y)[/tex]
Step-by-step explanation:
You just gave an expression, therefore:
[tex]50x+100x-50y[/tex]
[tex]150x-50y[/tex]
[tex]50(3x-y)[/tex]
[tex]\framebox{\parbox[t][1.0cm]{4.50cm}{\addvspace{0.2cm} \centering $ \;\; \, \;\; \;\; 150x+-50y $ } }\\[/tex]
Step-by-step explanation:
Let's simplify.
[tex]50x+100x-50y[/tex]
To solve this, we will have to combine the like terms.
[tex]50x+100x+-50y[/tex]
Let's add parenthesis.
[tex](50x+100x)+(-50y)[/tex]
This equals:
[tex]150x+-50y[/tex]
Hope this helps!
Point T is on line segment \overline{SU} SU . Given TU=4x+1,TU=4x+1, SU=8,SU=8, and ST=3x,ST=3x, determine the numerical length of \overline{TU}. TU .
Answer:
5Step-by-step explanation:
If point T is on the line SU, then ST+TU = SU. Given TU=4x+1, SU=8, and ST=3x
Substituting the given values into the expression ST+TU = SU
8 = 3x+4x+1
8 = 7x+1
collect like terms;
7x = 8-1
7x = 7
Divide through by 7
7x/7 = 7/7
x = 1
Substitute x = 1 into the expression TU = 4x+1 to get the length of TU
TU = 4(1)+1
TU = 4+1
TU = 5
Hence the length of TU is 5
Answer:
Step-by-step explanation: the answer is 5
In what ways are driverless cars safer than human drivers?
Answer:
Driverless cars may be safer than cars with drivers because they do not get tired or distracted, and they do not engage in risky driving practices such as speeding and/or texting while driving, drinking and driving, etc..
Step-by-step explanation:
Edg. 2020
Answer:Driverless cars may be safer than cars with drivers because they do not get tired or distracted, and they do not engage in risky driving practices such as speeding and/or texting while driving, drinking and driving, etc..
Step-by-step explanation:
HELP NEEDED IMMEDIATELY
Answer:
Step-by-step explanation:
B:Convert the fractional part only then add it to the whole number.
C : 9 1/2,3π,92/5,91/10
B : √26,5.5,5.8,31/5
B: -7,20/3, 7.1 ,√51 , 6π
C: -π , -√5 , -3/2,-1.03
What is the square root of 4?
Answer:
The square root of 4 is 2
Step-by-step explanation: If you multiply 2*2 it will equal and divide 4/2 you will get 2 so it is 2
1. Runners in the Peachtree Road Race line up for 1 mile to start the race. If each person needs 2.5
square feet of space, approximately how many people are there if the road is 60 feet wide?
Answer:
SteYou choose! Maybe you always wanted to do a marathon! Now you can do it over the 15 days of the virtual race...at your own speed!
1M, 5K, 10K, half marathon or marathon options
how much dose the least expensive 50 present of trail mix cost? what is the least of 4 pounde of trail mix can cost
The box-whisker plot is missing. Check the attachment for the data.
The least expensive 50% of trail mix costs between $1.25 and $2.75 per pound, as these, depict the minimum point and the median (50% of data), of the given box-whisker plot.
The least 4 pounds of trail mix can cost $6.00, at the minimum rate shown in the box-whisker plot by its starting point of $1.25 per pound.
What is a box-whisker plot?A box-whisker plot is a diagrammatic representation of data. The whiskers start from the minimum data and go up to the maximum. In between the whiskers is a box that starts from the first quartile of the data (below which 25% of the data lies) and goes up to the third quartile (below which 75% of the data lies). In between the box is a line, that indicates the median of the data. The median is the value of the middlemost data.
How to solve the given question?In the question, we are given a box-whisker plot, showing the different costs of trail mix at different prices per pound.
1. We are asked how much the least expensive 50% of trail mix costs.
We know that 50% of data is depicted at the median which is the line in between the box in a box-whisker plot. So the least expensive 50% is shown before the line.
The minimum point in the data is $1.25 and the median is $2.75.
Hence, the least expensive 50% of trail mix costs between $1.25 and $2.75 per pound, as these depict the minimum point and the median (50% of data), of the given box-whisker plot.
2. We are asked to find the least cost of 4 pounds of the trail mix.
We know that the starting point of the whisker shows the minimum point in the data. Hence, the least cost of the trail mix is $1.25 per pound.
So, the cost of 4 pounds is $1.25 * 4 = $6.00.
Hence, the least 4 pounds of trail mix can cost $6.00, at the minimum rate shown in the box-whisker plot by its starting point of $1.25 per pound.
Learn more about the box-whisker plots at
https://brainly.com/question/15841848
#SPJ2
Increasing a number by 14 yields the same result as taking one-half of 40.
Answer:
6
Step-by-step explanation:
6+14=20
40/2+20
PLEASE OPEN THIS, I NEED HELP!!!! WHAT BELONGS IN THE ? AND WHY?
Answer: see below
Step-by-step explanation:
Write each equation in y = mx + b format where m is the slope and b is the y-intercept.
Left side: -4 ≤ x < -1
If you continue the line through the y-axis it will pass through (0, 4) --> b = 4
The rise over run is -1 over 1 --> m = -1
y = (-1)x + (4) --> y = -x + 4
Right side: -1 < x < 4
The line passes through (0,0) --> b = 0.
The rise over run is -1 over 1 --> m = -1
y = (-1)x + (0) --> y = -x
[tex]\large\boxed{f(x)=\bigg\{\begin{array}{ll} -x+4&;-4\leq x<-1\\ -x&;-1<x<4 \end{array}}[/tex]
The temperature was -1 °F, 5 °F, 8 °F, and 6 °F. What was the average temperature?
Answer:
4.5
Explanation:
add up all the numbers and divide by the amount
In 1977 the average family earned £3300 a year and spent 18% of their earnings on a summer holiday. How much did the average family spend on their summer holiday?
Equation is;
[tex]3300.\frac{18}{100}[/tex]
33.18=594 paund :)
Lucas is having posters made for a school event. The setup fee for producing the posters is $18, and each poster he has made costs an additional $1.50. If the total cost of Lucas's posters is $42, how many posters did he have made?
If the area of a triangle is 28in2 and the height is 8 inches, determine the length of the base.
area of triangle formula = ½ × B × H
28in2 = ½ × B × (8)
28in2 = 4 × B
28 ÷ 4 = B
Therefore, length of base = 7 inches
i hope my solution helps :))
True or false? (-x)^4 = -x^4 Explain your answer.
Answer:
true, theres nothing inside the parenthesis meaning that you remove it as a first step
Step-by-step explanation:
what are the advantage of buying a new vehicle
Answer:
I don't really understand what this means but the advantage of buying a new vehicle gives you a better car and if its better you can use less gas on it or maybe it goes faster and has more ways to drive it.
Step-by-step explanation:
what is the algebraic expression of three fourths the square of b
Answer: 3x-x+2=4
Step-by-step explanation:
Write an equation in slope-intercept form for the line with slope -8 and y -intercept 9.
Answer: y = -8x + 9
Step-by-step explanation:
The slope intercept form formula says that y=mx +b where m is the slope and b is the y-intercept so input the value for m and b to write the equation.
The measure of an angle is 19º. What is the measure of its complementary angle?
Answer:
71º
Step-by-step explanation:
since it is a complementary angle equal 90 degrees total
so 90° - 19 = 71
At a concert 60% of the audience are adults . 25% of those remaining are boys and the rest of the audience members are girls .There are 30 girls altogether. How many a people are the at the concert?
Answer:
1800 people were at the concert.
Hello there! :D
Its math time!!
Alright, let's write out all the percentages.
60%= adults
25%= boys
There are thirty girls.
We can find out what percentage of the people there are girls by adding the percentages of the adults and boys and subtracting that from 100.
60+25= 85
100-85=15
So, 15% of the audience are girls. That is equal to 30 people.
I also know that 60 is divisible by 15 and 4. So, if we multiply 30 by 4 we can find out how many adults are at the concert.
30*4= 120 adults
We can also take 15 and divide it by 3 (as well as 30) so we can find out how many people there are for 5% of the concert. That will make it easier to find out how many boys there are.
15/3= 5%
30/3=10
Now we just need to know how many fives go into 25, which is 5.
5*10= 50
Add that to the number of adults and girls:
50+120+30= 200 people
There are 200 people at the concert!
I hope this helped you and you have a wonderful day,
Kai xx