Answers
Answer:
5[tex]\sqrt{6}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Given
[tex]\sqrt{150}[/tex]
= [tex]\sqrt{25(6)}[/tex]
= [tex]\sqrt{25}[/tex] × [tex]\sqrt{6}[/tex]
= 5[tex]\sqrt{6}[/tex]
Related Questions
help!! Ill give you 33 points!!!!
Answers
Direct variation uses the equation y = kx, where I is the constant of variation.
1. Is not a direct variation because the line is curving so the change in x is not constant.
2 and 3 Are straight lines, so Show direct variation. You can find 2 points on each line and calculate the slope which would be a constant variation.
Can someone help me please
Answers
The two “triangles” (the second one is inside the first) formed by Julie and the tree and their shadows are similar triangles, meaning that they have proportional leg lengths.
Therefore, you can make a ratio between each triangle’s pair of legs (i.e. AB:BD and EC:CD).
The tree’s shadow is a sum of Julie’s shadow and the distance between them, so its length would be x + 56 feet.
You would set up the ratios in order like so:
AB EC
BD equals CD
(Imagine there are fraction lines between AB/BD and EC/CD.)
You can solve the unknown factors in the ratio by cross-multiplying and isolating x:
i.e. if AB = x
x EC
BD equals CD becomes CD*x = BD*EC.
If there are two instances of x (like “x” and “x + 56” in the case of this problem), you can subtract one from the other to “isolate x” (i.e. 3x = x + y becomes 2x = y).
What is the solution set of the following equation? 4\5^2= 2x- 4\5
Answers
Answer:
x = 18/25
Step-by-step explanation:
(4/5)² = 2x - 4/5
16/25 = 2x - 4/5
16/25 = 2x - 20/25
36/25 = 2x
x = 18/25
Answer:
x= 18/25
Step-by-step explanation:
A man buys a certain number of Litchies at 20 per rupee and equal number at 30 per rupee. He
oranges at 90 paisa each. If he plans to make a profit of
of the oranges ?
b)
mixed them and sold them at 25 per rupee. Find his gain or loss percent.
150/
If he sold it for Rs 81 less, his loss would have been
Answers
Full question :
A man buys a certain number of oranges at 20 for Rs. 60 and an equal number at 30 for Rs. 60. He mixes them and sells them at 25 for Rs. 60. What is the gain or loss percent?
Answer:
4% loss(percentage loss on cost price)
Step-by-step explanation:
we will be employing algebra in solving this problem :
20 oranges at 60 Rs=60Rs/20 per orange=3Rs per orange
Say x oranges bought at 3Rs per orange=3Rsx
Equal number of oranges at 30 oranges for 60 Rs=60Rs/30 per orange=2Rs per orange
Say x oranges bought at 3Rs per orange=2Rsx
Total Cost Price = 3Rsx + 2Rsx = 5Rsx
He then sells all oranges at 25 for 60 Rs
Therefore price per orange=60/25=12/5Rs
since he sold x+x oranges(from the above calculations)
Total selling price=total oranges *12/5Rs=2x oranges*12/5Rs=24x/5Rs
Profit or loss=24x/5-5x=-x/5
therefore we have a loss =-x/5
Percentage of loss(on cost price)
=x/5÷5x∗100=
=1/25∗100=4%
Mrs. Grundy has two children. Given that Mrs. Grundy has at least one child born on a Monday, what is the probability that both her children were born on Mondays? Assume that each child was equally likely to be born on any day of the week, and that the two birthdays are independent (Mrs. Grundy doesn't have twins!).
Answers
Answer:
1/7
Step-by-step explanation:
If one child was born on a Monday, then we don't have to consider that when solving the question, as it asks if both children were born on a Monday.
Thus, we only need to find the probability that the second child is born on a Monday. Since there are 7 days in a week and equally likely that the child is born on any day, then the probability of the child being born on a Monday would be 1/7.
(0.04)
3x + 2y?
What is the value of the expression above when x = 3 and y = 4? You must show all work and calculations to receive full credit.
* G G
Source ✓ C
B I 5 xu xê
Format
IX = :: HE " ES
Styles
Answers
Answer:
17
Step-by-step explanation:
3x + 2y = 3(3) + 2(4) = 9 + 8 = 17
Answer:
[tex]\huge\boxed{17}[/tex]
Step-by-step explanation:
[tex]3x+2y\\\\\text{When: }\boxed{x=3; y=4}\\\\3(3)+2(4)\\\\3*3+2*4\\\\9+8\\\\\boxed{17}[/tex]
PLEASE help me solve this problem
Answers
Answer:
x = 7.5
Step-by-step explanation:
We see that in order to find x, we need to use tangent, which is opposite over adjacent.
Step 1: Set up equation
tan37° = x/10
Step 2: Multiply 10 on both sides
10tan37° = x
Step 3: Evaluate
x = 7.53554
Step 4: Round
x = 7.5
Answer:
137
Step-by-step explanation:
the way to get it is that part that looks like a square inside the triangle is 90 so when you finish getting all the sides the answer will give you 137
hydrogen and oxygen come pouring out it drips and it dribbles and it comes from a spout
Answers
Answer:
[tex]\Large \boxed{\mathrm{Water}}[/tex]
Step-by-step explanation:
Hydrogen and oxygen are elements that form the compound known as water.
Water comes pouring out, it drips, it dribbles, and it comes from a spout.
Answer:
Water
Step-by-step explanation:
Most of the water in our world is a combination of "ordinary" hydrogen atoms with "ordinary" oxygen atoms, but there are actually three different istopes (atomic varieties) of hydrogen and each of those can combine with oxygen to give a different kind of water.
If deuterium (hydrogen whose atoms contain one neutron and one proton instead of just one proton by itself) combines with oxygen, we get something called heavy water, which is about 10% heavier than normal water.
Similarly, tritium (hydrogen with two neutrons and one proton) can combine with oxygen to make something called super heavy water.
Water comes pouring out it drips and it dribbles and it comes from a spout.
Find the Area of a square with length(x + 7) and width (x + 7)
Answers
Answer:
x^2 +14x+49
Step-by-step explanation:
Area = length * width
= ( x+7) * ( x+7)
FOIL
first: x^2
outer: 7x
inner: 7x
last: 7*7 = 49
Add them together
x^2 +7x+7x + 49
Combine like terms
x^2 +14x+49
help..help..!! ASAP..
Answers
so you divide the rational number if the decimal on both sides if one is greater and the other less than the number that's greater should have the greater sign. but, if theres a number that's less then you should put the less than sign and if both numbers are the same number you should put the equal sign
A circular go-kart track has a diameter of 75 meters. Approximately how long is the track? A225 meters B100 meters C750 meters D500 meters
Answers
Answer:
235 metersStep-by-step explanation:
This problem is on the mensuration of flat shapes, a circular shape.
the problem also requires that we find the perimeter of the circular track
the expression for the perimeter of a circle is given as
[tex]C= 2\pi r[/tex]
Given
diameter of the circular track = 75 meters
radius of circular track = d/2 = 75/2= 37.5 meters
Substituting our data into the expression for perimeter we have
[tex]C= 2*3.142 *37.5\\\\C= 235.65[/tex]
Approximately the length is 235 meters.
please help me on this
Answers
Answer: True
Step-by-step explanation: The altitude of an isosceles triangle can be drawn from the vertex angle and be proven to be a median
Find the number by which 4732 should be divided to get perfect square.
Answers
Answer:
7
Step-by-step explanation:
Prime factors of 4732:
4732 = 2² × 7 × 13²As we see if we remove 7 from the factors list, we get the perfect square of 2²×13²= 26²
So the number by which 4732 should be divided is 7
4732/7 = 676 = 26²There are 15 gummy bears. If they are evenly divided between 7 people, how many gummy bears does each person get? Choose the correct answer from the choices below.
Answers
Answer:
2.14285714286 or 2 1/7 gummy bears
Step-by-step explanation:
15/7=2.14285714286 or 2 1/7
Answer:
Hello! Answer below, with an picture too :)
Step-by-step explanation:
:::::: [tex]2[/tex] [tex]1/7[/tex]
The answer is 2 1/7 or 2 R 1
Steps:
So we do 15 divided by 7.
[tex]\sqrt[7]{15}[/tex]
***********************************
0 2
....................
7 ⟌ 1 5
- 0
.............
1 5
- 1 4
.............
1
Steps below in the picture, too!
By:✨RobloxYt✨
(Picture attached)
5. Simplify the expression.
5+4·(8 — 6)2
013
O21
036
040
Answers
Answer:
21
Step-by-step explanation:
Use PEMDAS
P ---> Parenthesis
E ----> Exponents
M & D -------> Multiplication & Division
A & S ------> Addition & Subtraction
5 + 4*(8 - 6)² = 5 + 4*(2)²
= 5 + 4*4
= 5 + 16
= 21
2(4x-6) = 4(3x-7) what is x
Answers
Answer:
The value of x in this equation is -4.
Step-by-step explanation:
2(4x - 6) = 4(3x - 7)
Distribute 2 to (4x - 6) and distribute 4 to (3x - 7)
8x - 12 = 12x - 28
Subtract 12x form both sides of the equation.
-4x - 12 = -28
Add 12 to both sides of equation.
-4x = 16
Divide -4 on both sides of the equation.
x = -4
The value of x is -4.
Answer:
x=4
Step-by-step explanation:
Starting with 2(4x-6) you apply the distributive law: a(b-c) = ab - ac
a =2, b=4x, c=6
2(4x-6) = 2*4x-2*6 Then multiply the numbers 2*4
8x-2*6 = multiply 2*6
8x-12
Then for 4(3x-7) you apply the distributive law.
a =4, b=3x, c=7
4*3x-4*7 multiply 4*3
12x-4*7 multiply 4*7
12x-28
Then the equation would be 8x-12 = 12x-28. Add 12 to both sides.
8x=12x-16 Subtract 12x to both sides
-4x=-16 divide both sides by -4
then you'll get Positive 4 as your x.
on a map the scale shown is 1 inch = 5 miles if a park is 75 square miles what is the area of the park on the map
Answers
Answer:
75 miles squared
Step-by-step explanation:
First we have to convert 1 inch = 5 miles to square miles as that is what we are trying to get
So, 1 inch squared = 25 miles squared
To get 75 miles squared, we multiply both sides by 3.
So 3 * 1 inch squared = 3 * 25 miles squared
Gets us 3 inch squared = 75 miles squared
HELPPL Enter the solution from least to greatest (x-2)(3x+3)=0
Answers
Answer:
x = -1, 2
Step-by-step explanation:
Step 1: Write out equation
(x - 2)(3x + 3) = 0
Step 2: Solve each individual root
x - 2 = 0
x = 2
3x + 3 = 0
3x = -3
x = -1
Step 3: Arrange from least to greatest
-1 < 2
So x = -1, 2
Answer:
x = -1 x = 2
Step-by-step explanation:
(x-2)(3x+3)=0
Using the zero product property
x-2 =0 3x+3 =0
x=2 3x = -3
x = -3/3
x = -1
Does x=-3 fall on the interval (-♾, -4)? Yes or no and why:
Answers
-3 is greater than -4 and does not lie in the range between (-infinity, -4)
Number line:
<————-o—-|——|——-...
-infinity -4 -3 -2
Combine the radicals 4V7 +3V28
Answers
Answer:
The answer is
[tex]10 \sqrt{7} [/tex]Step-by-step explanation:
To solve the radicals make sure that they both have the same radical
That's
[tex]4 \sqrt{7} + 3 \sqrt{28} [/tex]Simplify 3√28 in order to combine the radicals
We have
[tex]3 \sqrt{4 \times 7} = 3 \times \sqrt{4} \times \sqrt{7} [/tex][tex] = 3 \times 2 \times \sqrt{7} [/tex][tex] = 6 \sqrt{7} [/tex]So we now have
[tex]4 \sqrt{7} + 6 \sqrt{7} [/tex]Using the rules of surds
That's
[tex]x \sqrt{a } + y \sqrt{a} = (x + y) \sqrt{a} [/tex]Simplify the expression
We have
[tex]4 \sqrt{7} + 6 \sqrt{7 } = (4 + 6) \sqrt{7} [/tex]We have the final answer as
[tex]10 \sqrt{7} [/tex]Hope this helps you
Answer:
Step-by-step explanation:
[tex]4\sqrt{7}+3\sqrt{28}=4\sqrt{7}+3\sqrt{2*2*7}\\\\\\ =4\sqrt{7}+3*2\sqrt{7}\\\\\\= 4\sqrt{7}+6\sqrt{7}\\\\\\=(4+6)\sqrt{7}\\\\\\ =10\sqrt{7}[/tex]
for each diagram, determine whether angles 1 & 2 form a linear pair, heeelp please :(
Answers
Answer:
only (12) has a linear pair
Step-by-step explanation:
Recall that for two angles to be called a "Linear Pair", they need to satisfy several conditions:
1) The two lines must intersect at a shared point (i.e common vertex)
2) The two angles must be adjacent (i.e immediately next to one another)
3) The two angles must add up to 180 degrees.
In our case,
in (9), the angles are not adjacent and they do not add up to 180 deg, so this is NOT a linear pair
in (10), the angles are not adjacent and they do not add up to 180 deg, so this is NOT a linear pair
in (11), the lines do not intersect at a shared point(they do not have a common vertex). Plus we cannot be 100% sure that they add up to 180 deg. Hence this is not a linear pari
in (12), we can see that the angles satisfy all 3 conditions above. This is a linear pair.
A student used the graph below to identify the minimum/maximum. The student said the graph had a maximum of 1. Explain the students mistake and how the student can tell the difference between a maximum and minimum. (Write your answer in at least 2 complete sentences).
Answers
Answer: Answer is in the step.
Step-by-step explanation:
The student made a mistake by identifying the maximum point by the x coordinate value of the vertex. Minimum or maximum points are determine using the y coordinate value.The student can determine the difference between a maximum and minimum by identifying the y coordinate of the vertex.
Solve the following equation for the variable. 2m – 3 =23
m =
What was the FIRST step?
Answers
Answer:add 3
Step-by-step explanation:
+ 3 + 3
2m = 26
/ 2 / 2
m = 13
The first step is to add three to each side. And m is equal to 13.
evaluate 3+11t−9u when t=9 and u=11
Answers
Answer:
3Step-by-step explanation:
[tex]3+11t-9u\\t = 9\\u =11\\\\3+11(9) -9(11)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:11\left(9\right)\::\quad 99\\=3+99-9\left(11\right)\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:9\left(11\right)\::\quad 99\\=3+99-99\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:3+99-99\:\\:\quad 3[/tex]
Answer:
[tex] - 19[/tex]
Step-by-step explanation:
[tex]3 + 11t - 9u = 3 + 11(9) - 9(11) = 3 + 99 - 121 = - 19[/tex]
Please hurry 12 people fit comfortably in a 5 by 5 feet area. Use this value to estimate the size of a crowd that is 10 feet deep on ONE side of the street along a 1 mile section of a parade route. 25344 people 25344 people 52800 people 52800 people 110000 people 110000 people 20 people 20 people
Answers
hope this helps! Its the answer key to something almost exact
The size of the crowd that is 10 feet deep on ONE side of the street along a 1-mile section of a parade route is 25344 option (A) 25344 is correct.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
12 people fit comfortably in a 5 by 5 feet area.
Let x be the size of a crowd that is 10 feet deep on ONE side of the street along a 1-mile section of a parade route.
The fractions:
12/25 = x/(5280×10)
After cross multiplication:
25x = 633600
x = 633600/25
x = 25344
Thus, the size of the crowd that is 10 feet deep on ONE side of the street along a 1-mile section of a parade route is 25344 option (A) 25344 is correct.
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ2
HELP PLEASE The value of a stock can be modeled by this equation. V = 23n + 42; where V is the value, in dollars, and n represents the number of months since purchase. Which statements correctly interpret the slope of the line? A. The slope of the line is 42. This means that the value of the stock increases $42 for each additional month since purchase. B. The slope of the line is 42. This means that the initial value of the stock was $42. C. The slope of the line is 23. This means that the initial value of the stock was $23. D. The slope of the line is 23. This means that the value of the stock increases $23 for each additional month since purchase.
Answers
Answer:
D. The slope of the line is 23. This means that the value of the stock increases $23 for each additional month since purchase.
Step-by-step explanation:
In the basic equation y = mx + b, m is the slope. In this situation, 23 is the slope because it is the coefficient.
42 is not the slope because it is the y-intercept.
D is the correct answer because the slope is 23, which means in this situation that the stock's value increases by $23 for each additional month after the purchase.
Answer:
D.
Step-by-step explanation:
The slope is the coefficient of n ( the month) which is 23.
This means the stock increases each month by a factor of 23.
Make M the subject of the expression T = WP [ M² - ( M-S)² ]
Answers
Answer:
see below (I hope this helps!)
Step-by-step explanation:
T = WP [ M² - (M - S)² ]
T = WP [ M² - (M² - 2MS + S²) ]
T = WP (2MS - S²)
T = 2WPMS - WPS²
T + WPS² = 2WPMS
M = (T + WPS²) / (2WPS)
Please help me with question
Answers
Answer:
4 hours 7 minutes
Step-by-step explanation:
Since Trevon takes 10 hours to clean the attic, he cleans 1/10, 10% or .1 of the attic per hour. Since Cody takes 7 hours to clean the attic, he cleans 1/7, 14.3% or .143 of the attic per hour.
Together, that means they clean .1 + .143 of the attic per hour. That's an hourly rate of:
.1 + .143 = .243
The portion of the attic they clean in x hours is .243x. We'd like to know how long it will take them to clean 100% or 1 of the attic. So:
.243x = 1 Divide each side by .243
x = 1/.243
x ≈ 4.115
Let's convert .115 to minutes by multiplying by 60
.115 * 60 = 6.9 round to 7 for 7 minutes
It will take them around 4 hours 7 minutes to clean the attic.
does anyone know this?
Answers
Answer:
f(-9) = 279
Step-by-step explanation:
f(x) = 4x^2 + 7x + 18
f(-9) = 4(-9)^2 +7(-9) + 18
= 4(81) - 63 + 18
= 324 - 63 + 18
= 279
Multiply the trinomials.
(zº-x+9)(+*+x+15)
A. X* - 23x? - 16x + 135
B. **+23x? - 6x +135
C. X* + 3x? - 16x+135
D. **- 3x² - 6x +135
Please select the best answer from the choices provided
Answers
Answer:
b
Step-by-step explanation: