Answer:
m = 0.421
Step-by-step explanation:
5.4(m-2)= -2(3m+3) (expand parentheses by distributive property)
m(5.4) -2(5.4) = 3m(-2) + 3(-2)
5.4m - 10.8 = -6m - 6 (add 6m to both sides)
5.4m - 10.8 + 6m = - 6
11.4m - 10.8 = - 6 (add 10.8 to both sides)
11.4m = -6 + 10.8
11.4m = 4.8 (divide both sides by 11.4)
m = 4.8 / 11.4
m = 0.421
Answer:
m = 8/19
Step-by-step explanation :
5.4 (m-2) = -2 (3m +3)
54/10 (m-2) = (3m +3) as n = 1
2.3^3 / 2.5 (m-2) = (3m + 3)
4.868 (m-2) = (3m +3)
4.868 + 3 = (3m^2 * m-2)
8 / 9.5 * 2
m = 8 / 19
What is the expression in SIMPLEST radical form? (20)∧5/2
Answer:
The expression in the question can, and should, be written clearly as either 205(2)=8 or as 205(2)=2 . Relying on a left-to-right or right-to-left interpretation is not a good idea.
In cases of associative operators, like a⋅b⋅c , the parenthesis or other grouping can be omitted because any reasonable interpretation will yield the same result. But this isn’t true of division, which is not associative, nor is it true of mixed operators at the “same level” of precedence, like multiplication/division.
The other answers which say the result is 8 may not be wrong, but they are missing the main issue in that this expression should not be used because of the ambiguity
Step-by-step explanation:
Please help me on this question
Answer:
1st count the 1/2 circle with the formula
1/2 × phi × r²
=1/2 × 3,14 x 6²
=1/2 × 3,14 × 6²
=56,5
2st count the ractangle with the formhla
a × b
= 12 × 18
= 216
So we get 56,5+216= 272,5
Answer:
Hey there!
This problem will require a few steps to solve:
Step 1: Identify the "simple shapes" that make up the larger figure. Here, we see that there is a rectangle to the left, and a semicircle to the right.
Step 2: Find the area of the rectangle. This shouldn't be too hard, since we know that the formula for a rectangle's area is length times width. From the diagram, we have the length is 18cm, and the width is 12cm. 18 times 12=216.
Step 3: Find the area of the semicircle. This is slightly more difficult, but we know a semicircle is half of a circle, and the formula for circle area is [tex]\pi r^2[/tex]. Thus, the formula for a semicircle area is [tex]\frac{\pi r^2 }{2}[/tex]. We have d, or the diameter equal to 12, so the radius is 6, or half of the d. Plugging in the values, we find that the area for the semicircle is about 56.52.
Step 4: Add the areas of both simple shapes together: 216+56.52=272.52 cm^3.
Hope this helps :)
15) Joey has 4 2/3 ounces of candy. If he
divides the candy evenly among 5 people,
how many ounces will each person receive?
Answer: 0.933333
Step-by-step explanation: you disturbe 4 2/3 into 5 groups which you can write as 4 2/3 (or 14/3) divided by 5
Hope this helps :-)
a countrys population in 1995 was 206 million. In 1998 it was 210 million. Estimate the population in 2008 using the exponential growth formula. Round your answer to the nearest million
Answer:
254 million
Step-by-step explanation:
In a calculator it would to
210 x 1,0194^(10)
A pet store specializes in exotic fish. The graph shows a proportional relationship between the number of fish and the number of fish tanks at
the store.
y
65
52
39
Fish
Fish
26
13
0
5
6
Fish Tanks
35m is the answer to the problom
Answer:
the correct answer is 13
Step-by-step explanation:
i got it correct on the test, hope this helps:)) !
6(y + 5) = 15y + 12
What value of y makes the equation true
Answer:
[tex]\boxed{y=2}[/tex]
Step-by-step explanation:
[tex]6(y + 5) = 15y + 12[/tex]
[tex]\sf Expand \ brackets.[/tex]
[tex]6y+30=15y+12[/tex]
[tex]\sf Subtract \ 12 \ and \ 6y \ from \ both \ sides.[/tex]
[tex]6y+30-12-6y=15y+12-12-6y[/tex]
[tex]30-12=15y-6y[/tex]
[tex]18=9y[/tex]
[tex]\sf Divide \ both \ sides \ by \ 9.[/tex]
[tex]\displaystyle \frac{18}{9} =\frac{9y}{9}[/tex]
[tex]2=y[/tex]
A surveyor wants to find the height of a hill. He determines that the angle of elevation to the top of the hill is 50°. He then walks 40
feet farther from the base from the hill and determines that the angle of elevation to the top of the hill is now 30°. Find the height of
the hill (round to the nearest foot).
es
Answer:
The height of the hill is 45 feet .
Step-by-step explanation:
Refer the attached figure
Let AB be the height of hill
We are given that He determines that the angle of elevation to the top of the hill is 50°
So, [tex]\angle ACB= 50^{\circ}[/tex]
Now He then walks 40 feet farther from the base from the hill and determines that the angle of elevation to the top of the hill is now 30°
So, CD=40 feet
BD=BC+CD=BC+40
[tex]\ADB= 30^{\circ}[/tex]
In ΔACB
[tex]Tan \theta = \frac{Perpendicular}{Base}\\Tan 50^{\circ} =\frac{AB}{BC}\\1.1917 BC=AB ----1[/tex]
In ΔADB
[tex]Tan \theta = \frac{Perpendicular}{Base}\\Tan 30^{\circ} =\frac{AB}{BD}\\\frac{1}{\sqrt{3}}=\frac{AB}{BC+40}\\\frac{1}{\sqrt{3}}(BC+40)=AB----2[/tex]
So,equate 1 and 2
[tex]1.1917 BC=\frac{1}{\sqrt{3}}(BC+40)\\BC=37.59[/tex]
Substitute the value in equation 1
1.1917 (37.59)=AB
44.796=AB
Hence the height of the hill is 45 feet .
Help plz, show work
Answer:
63°50° , 40°Step-by-step explanation:
1.
[tex]3 :7 \\Acute \: angle = 90\°\\7+3 = 10\\\frac{7}{10} \times 90\\\\= \frac{630}{10}\\ = 63 \°\\[/tex]
2.
[tex]Let \:the\: other\:acute \:angle\: be \:x\\According\:to \:the \:question ; \\ \:\\(2x-30)+x =90\\2x - 30 +x =90\\2x +x = 90+30\\3x = 120\\\frac{3x}{3} =\frac{120}{3} \\x = 40 \\\\(2x -30)\\2(40) -30\\80 - 30 = 50\\\\\\Angle \:1 = 50\°\\Angle \: 2 = 40\°\\[/tex]
what is the volume of a sphere when the radius is 7, PLZ HELP WILL RATE THE BRANLIEST
Answer:
[tex]V=1437.33\ \text{unit}^3[/tex]
Step-by-step explanation:
We need to find the volume of a sphere when the radius is 7. To find volume we must know the formula used to find the volume of a sphere. The formula of volume of a sphere is given by :
[tex]V=\dfrac{4}{3}\pi r^3\\\\V=\dfrac{4}{3}\times \dfrac{22}{7}\times (7)^3\\\\V=1437.33\ \text{unit}^3[/tex]
So, the volume of a sphere when the radius is 7 is [tex]1437.33\ \text{unit}^3[/tex].
Answer:
V≈1436.76
Step-by-step explanation:
i searched it on google
PLZ ANSWER!!! IF YOU ANSWER U GET 20 POINTS
Find |-65|.
0
65
-65
*PLEASE ANSWER TY* What is the density of a 50-gram pyramid with rectangular base 4 cm x 8 cm and height 10 cm?
Answer:
[tex]\frac{0.47 g}{cm^{3} }[/tex]
Step-by-step explanation:
→ First work out volume of pyramid using the formula [tex]\frac{lwh}{3}[/tex] where 'l' is the length, 'w' is the width and 'h' is the height
[tex]\frac{lwh}{3}[/tex] ⇔ [tex]\frac{4*8*10}{3}[/tex] ⇔ [tex]\frac{320}{3}[/tex] ⇔ 320 ÷ 3 = 106.666666667
→ Volume of pyramid = 106.666666667. Substitute this value into the density formula
Density = Mass ÷ Volume
Density = 50 ÷ 106.666666667
Density = 0.46875 to 1 decimal place is 0.47
Math Question (10 Points):
Answer:
A
Step-by-step explanation:
Becuase It expands the (2+4)8=2*8+8*4=6*8=48
What is the domain of the function shown in the graph below? answer type: interval, all real values except one, all real values except two, all real numbers Interval:
Answer: the domain is negative infinity to positive infinity
Step-by-step explanation:
the graph covers all x values
Which of the following expressions are equivalent (equal) to 3(2x - 7)
Answer:
6x - 21
Step-by-step explanation:
3(2x - 7)
Use the Distribute Property of Multiplication by multiplying the number outside the parenthesis with the numbers inside.
3 × 2x = 6x
3 × -7 = -21
Combine:
6x - 21
Hope this helped.
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{3(2x - 7)}[/tex]
[tex]\huge\text{\underline{\underline{DISTRIBUTE 3 WITHIN the PARENTHESES }}}[/tex][tex]\huge\text{3(2x) + 3(-7)}[/tex]
[tex]\huge\text{3(2x) = \bf 6x}[/tex]
[tex]\huge\text{3(-7) = \bf -21}[/tex]
[tex]\huge\text{= 6x - 21}[/tex]
[tex]\boxed{\boxed{\huge\text{Therefore, your ANSWER is: \textsf{6x - 21}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\boxed{\huge\text{\boxed{\frak{Amphitrite1040:)}}}}[/tex]
For triangle DEF, angle D = 42 degrees, line e = 30 meters and line d = 25 meters. Determine the number of possible triangles that can be constructed. Show work.
Answer:
2 triangles
Step-by-step explanation:
The given angle is opposite the shorter of the given sides, so the number of triangles is 2. (30/25·sin(42°) ≈ 0.8 < 1)
_____
Additional comment
For the case where the shorter given side is opposite the given angle, there is the possibility that the triangle could be a right triangle (1 solution) or that there may be no solutions. You can tell the difference by computing ...
(long side)/(short side) × sin(given angle)
If this result is exactly 1, the triangle is a right triangle. If it is greater than 1, the triangle cannot exist (no solutions). Since the sines of most angles are irrational, it is unlikely you will see this result be exactly 1 (except for a 30°-60°-90° right triangle).
These observations are a consequence of the Law of Sines, which tells you ...
sin(A) = (a/b)sin(B)
For real angles, sin(A) ≤ 1.
Please help need help asap please
Answer: The two choices with the square root of 2 will have irrational answers
Step-by-step explanation: By definition:
As long As you have normal fractions, you have rational numbers.
Square roots of "perfect squares" 4, 9, 16, 25, etc. can be rational numbers. The square roots of anything else and pi will be irrational.
Mariah bought a shirt for $28.50 and a belt. The total cost was $45.50. Which of the following equations can be used to find the cost of the belt? A. 28.50 + b= 45.50 B. 45.50 + b= 28.50 C. b= 28.50 - 45.50 D. b= 28.50 * 45.50 Please include work!!
Answer:
a is the answer 28.50 + b = 45.50
Step-by-step explanation:
so if i move 28.50 to the right side then it becomes b=45.50-28.50 and that equals to 17 . hope i helped have a great day
=================================================
Explanation:
28.50 = cost of shirt
b = cost of belt, some unknown value
45.50 = total cost (given)
28.50+b = total cost (add the first two items shown above)
equate the two total cost expressions to end up with 28.50+b = 45.50
the graph of y=f(x) is shown below. find all the values of x where f(x)=8
Answer:
x = 4
Step-by-step explanation:
Find 8 on the y-axis. Draw a horizontal line through y =8. Determine the x value for which the graph intersects this horizontal line y = 8. It is x = 4
The value of x when f(x) = 8 according to the graph is; 4.
According to the graph;
To determine the value of x when f(x) = 8.We must plot a line of the equation; y = 8.
This line of y = 8 results in an horizontal line.The point at which the horizontal line, y = 8 intersects the given graph has an x coordinate.Ultimately, the x coordinates of this point is 4 and hence, the value of x when f(x) = 8 is 4.
Read more;
https://brainly.com/question/23559218
Find the value of x.
Answer:
I think it is 32 hopes its right
What is the mode of the data represented in the dot plot shown in the image? A. 0 B. 1 C. 2 D. 3 Show all work!
Answer:
2
Step-by-step explanation:
The mode is the number that appear most often
The number with the most dots is 2
The mode is 2
The mode in any data set is the number that gets represented the most.
As you can see on the plot, the number that gets represented the most is 2.
Best of Luck!
i need this quick!!! please hurry!! Solve the following proportion for X. X over 5 = 17 over 3 Round your answer to the nearest tenth.
Answer:
[tex]\huge\boxed{x = 28.3}[/tex]
Step-by-step explanation:
=> [tex]\frac{x}{5} = \frac{17}{3}[/tex]
Cross Multiplying
=> x * 3 = 5 * 17
=> 3x = 85
Dividing both sides by 3
=> x = 85/3
=> x = 28.3 (To nearest tenth)
Answer:
[tex]\Huge \boxed{x=28.3}[/tex]
Step-by-step explanation:
The proportion is given,
[tex]\displaystyle \frac{x}{5} =\frac{17}{3}[/tex]
We need the x variable isolated on one side, so we can find the value of x that makes the proportion true.
Multiply both sides of the equation by 5.
[tex]\displaystyle \frac{x}{5} \times (5)=\frac{17}{3} \times (5)[/tex]
Simplify the equation.
[tex]\displaystyle x=\frac{85}{3}[/tex]
[tex]x=28.33333333...[/tex]
The value of x that makes the proportion true is 28.3 (rounded to nearest tenth place).
How does 4D shape look like?
Answer:
here you go
i hope i helped you
Step-by-step explanation:
Answer:
It would look like these shapes on the picture
Step-by-step explanation:
It is a shape with another one of it inside it, you should see it on the pictturres.
Hope this helped you
Please mark as brainlist.
plsssssss help me!!!!!!!!!!!!!!!!!!!!!!! it is recommended that for every 8 square feet of surface, a pond should have 2 fish. a pond that has a surface of 72 square feet should contain how many feet?
3 to the power of 5 equals 243. Explain how to use that fact to quicky evaluate 3 to the power of 6.
Answer:
3^6 = 729
Step-by-step explanation:
3 to the power of 5 equals 243. Explain how to use that fact to quickly evaluate 3 to the power of 6
Symbolically, we have:
3^5 = 243 (given)
Multiplying both sides by 3, we get:
3^6 = 3(243)
If you want to take this further, multiply 3(243): 3^6 = 729
The value of [tex]3^6[/tex] is 729.
Important information:
[tex]3^5=243[/tex]Exponents:We need to find the value of [tex]3^6[/tex].
Using the rules of exponents, we get
[tex]3^6=3^{5+1}[/tex]
[tex]3^6=3^{5}*3^{1}[/tex] [tex][\because a^{m+n}=a^ma^n][/tex]
[tex]3^6=243*3[/tex]
[tex]3^6=729[/tex]
Therefore, the value of [tex]3^6[/tex] is 729.
Find out more about 'Exponents' here:
https://brainly.com/question/14404700
Jo kept track of how much TV she watched each day for two weeks. How many hours in all did she spend watching TV?
Answer:
12 1/2 hours
Step-by-step explanation:
This is because (0*1) + (1/4*1) + (1/2*1) + (3/4*3) + (1*3) + (1 1/4*4) + (1 1/2*1) = 12 1/12.
What is the purpose of central ideas in a text?(1 point) to give additional information about the topic to define the topic to provide an overview of the ideas in the text to explain the most important ideas in the text
Answer:
[tex]\boxed{to\ explain\ the\ most\ important\ ideas\ in\ the\ text}[/tex]
Step-by-step explanation:
The purpose of the central idea is to explain the central/most important ideas in the theme. Central idea provides the explanation of the most important i.e. central ideas of the text. So, the central idea provides the explanation of central ideas of the text as the name indicates.
Answer:
to explain the most important ideas in the text
Step-by-step explanation:
the person above me is corrwct
Find mPRˆ(arc). A. 115 B. 95 C. 125 D. 100
Answer:
D. 100°
Step-by-step explanation:
Refer to picture attached
Lines QP and QR are tangent to radius of circle.
Triangles ΔQPO and ΔQRO are right triangles and line QO bisects angles of ∠PQR and ∠POR.
So as per sum of angles in right triangle, we have:
1/2∠PQR + 1/2∠POR = 90°1/2(81x-1)° + 1/2(100x)° = 90°(90.5x)°= 90.5°x= 1°Then:
mPR(arc)= (100x)°= 100*1°= 100°Correct answer choice is D. 100°
One root of a quadratic that has real coefficients is 2-3i. What is the other root?
Answer:
2+3i
Step-by-step explanation:
imaginary roots come in pairs
Which graph shows Point P as (–5,6) and Point Q as (3,–4)?
Answer:
The third graph from the left.
Step-by-step explanation:
The points are located on the graph that was given below. Then the correct option is C.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
The points are given below.
P(5, 6) and Q(3, -4)
Point P is located by moving 5 units towards the left and 6 units upwards.
Point Q is located by moving 3 units towards the right and 4 units downwards.
The points are located on the graph that was given below.
Then the correct option is C.
More about the coordinate geometry link is given below.
https://brainly.com/question/1601567
#SPJ2
If a 130 mile trip takes 2 hours, what was the speed?
How long does a 35 mile trip at 70 mph take?
Answer:
Question 1's answer is 75 mph
Question 2's answer is 30 minutes
Step-by-step explanation:
Answer:
1. 65mph
2. 1/2 hour
Step-by-step explanation:
1. The equation is D=R×T. Since the distance was 130 miles and the time was 2 hours, rewrite the equation as 130=2R. Divide both sides by 2 and you get R=65
2. Using the equation, write 35 miles as distance and 70 mph as rate: 35=70T. Divide both sides by 70: T=0.5, which is equal to 1/2 hour, or 30 minutes.