Estimate the sum of the decimals below by rounding to the nearest whole
number. Enter your answer in the space provided.
2.414
8.160
+ 2.621
Help (I also need help learning how too round too the nearest whole number:)
Answer:
13
Step-by-step explanation:
to round to nearest whole number if its .5 or above you go up 1. If it's .4 or below you go down 1.
2.414=2
8.160=8
2.621=3
add
2+8+3=13
if you just added the decimals you would get: 13.195. (This shows you have a good estimate.)
If a system has no solution, how does it look on the graph? What about infinite solutions?
Hi!
If a graph has no solutions, the lines will be parallel.
Lines have "solutions" when they intersect with eachother. If there are no solutions, the lines will not intersect. Only parallel lines don't intersect.
If a graph has infinite solutions, the lines will be the same.
If a line has infinite solutions, they have to constantly be intersecting. That means the lines will have to be directly on top of each other, meaning they will be the same line.
SEE BELOW for graphs. First graph = NO SOLUTIONS; Second graph = INFINITE SOLUTIONS
Explanation:
No solution:
A graph can only have no solutions if the two lines are parallel. These lines can only be parallel if they have the same slopes, but different y-intercepts. Please check attached graph (1) for illustration of no solution.Infinitely many solutions:
A graph can have infinitely many solutions if the two lines overlap. This can only happen if both the equations are the same or if simplified, are equivalent. Please check attached graph (2 and 3) for illustration of infinitely many solutions.Sami opened an account with a deposit of $4,000. The bank pays 3.5% annual simple interest on this account Sami did not make any additional deposits or withdrawals. How long will it take for Sami to earn $2,100 in interest on this account?
Answer: 15 months
Step-by-step explanation:
Maria and Sheila took part in a Mathematics competition. Sheila obtained 96 marks in the competition. If 2/5 of Maria's marks is equal to 1/4 of Sheila's marks, calculate the total marks obtained by both of them in the competition.
Maria and Sheila total marks are illustrations of proportions
The total marks obtained by both is 156
How to determine their total marks?The given parameters are:
Sheila = 96 marks
2/5 of Maria's marks = 1/4 of Sheila's marks
The second highlight above means that:
2/5 * Maria = 1/4 * 96
Multiply both sides by 5/2
Maria = 1/4 * 96 * 5/2
Evaluate the product
Maria = 60
Their total mark is then calculated as:
Total = Sheila + Mark
This gives
Total = 96 + 60
Evaluate the sum
Total = 156
Hence, the total marks obtained by both is 156
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HELPP!!!! Tyrell is working on the middle school yearbook. He wants to fit a 4×6 inch photo into a space that is 3 inches wide. At what percent should he set the copier zoom button to achieve this size?
Answer:
50%
Step-by-step explanation:
Step one:
By convention, the dimension of a shape is described as
Lenght first, followed by width
Hence
lenght = 4 in
Width = 6 in
Step two:
Therefore, to achieve a new width of 3 in, the initial width must be divided by 2, which is a 50% reduction.
3/6*100
0.5*100
=50%
Answer:its 75 percent
Step-by-step explanation:
please help to simplify 4+2×-4+8×-1
_____________________________________________________
Calculate[tex]4+2\times (-4)+8\times (-1)[/tex]
_____________________________________________________
Determine the sign for multiplication or division[tex]4-2\times 4+8\times (-1)[/tex]
[tex]4-2\times 4-8[/tex]
______________________________________________________
Calculate the product or quotient[tex]4-8-8[/tex]
______________________________________________________
Calculate the sum or difference[tex]-4-8[/tex]
[tex]-12[/tex]
I hope this helps you
:)
f(x)=2x^3-6x+k and the remainder when f(x) is divided by x+1=7 then what is the value of k
Given: f(x)=2x(cube)-6x+x
reaminder of f(x) when (x+1) diveded
to find value of k
solution,
f(x)=2x(cube)-6x+k
f(-1)=7
2(-1)(cube)+6+k=7
4+x=7
k=7
Hence,k=7
please help with 2 in the picture.
Answer:
4
Step-by-step explanation:
The Science Club is researching boiling points. They learn that at high altitudes, water boils
at lower temperatures. At sea level, water boils at 212°F. With each increase of 500 feet in
elevation, the boiling point of water is lowered by about 1°F.
a. 212– 1/500 e < 195
b. 1/500 e - 195 < 212
c. 195 - 212e < 1/500
d. 212 – 195e<1/ 500
The inequality expression that accurately represents the phenomena described in the question is:
212– 1/500 e < 195 (Option A)
Inequalities can be used to represent many real-life problems. Inequalities are similar to equations.
The inequality above represents the situation in which the boiling point of the sea reduces as the altitude increases.
Learn more about inequalities at:
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I just am confused what to do on 11-16 and if able to can’t 1-9 be checked
Answer:
add all the sides that you have and subtract it from 180
Step-by-step explanation:
59+55+854+456+456+7894
Answer :
59+55+854+456+456+7894=9,774
gradpoint, help me please yall :(
Answer: B
Step-by-step explanation: How do we find the local extrema? Let f be continuous on an open interval (a,b) that contains a critical x-value. 1) If f'(x) > 0 for all x on (a,c) and f'(x)<0 for all x on (c,b), then f(c) is a local maximum value. 2) If f'(x) < 0 for all x on (a,c) and f'(x)>0 for all x on (c,b), then f(c) is a local maximum value.
Find the slope of the line that is parallel and perpendicular to the following equation.
2x-2y=-6
Answer:
Parallel lines 1
perpendicular lines -1
Step-by-step explanation:
2x-2y = -6
Solve for y to get it in slope intercept form
-2y = -2x-6
Divide by -2
y = x+3
This is slope intercept form y = mx+b where m is the slope
Parallel lines have the same slope
A parallel line would have a slope of 1
Perpendicular lines would have a slope that is a negative reciprocal
-1/1
Perpendicular lines would have a slope of -1
Let us first put it into slope-intercept form ⇒ [tex]y = mx + b[/tex]
m: slopeb: y-intercept of the functionTo put it into that format, we need to simply put y on one side of the equation and the rest on the other side
[tex]2x - 2y =-6\\-2y = -2x -6\\y = x +3[/tex]
What do we want to find first ⇒ a line parallel to the original line
a line that is parallel to the original line only has one requirement, it must have the same slope, such as the one below[tex]y = x +5[/tex]
What do we also want to find ⇒ a line perpendicular to the original line
a line that is perpendicular to the original line only has one requirement, the slope has to be the negative reciprocal of the original slope⇒ original slope is 1 ⇒ negative reciprocal is - 1/1 = -1
⇒ so an example is
[tex]y = -x + 3[/tex]
Answer:
Line that is parallel: slope is 1Line that is perpendicular: slope is -1Hope that helps!
Henry sang 12 songs every song was 3/8 minutes long. For how much time did he sing in total?
Answer:
4.5 minutes or 36/8 minutes or 9/2 minutes
Step-by-step explanation:
So we simply find 3/8 of 12 by multiplying:
[tex]\frac{3}8} \times 12[/tex]
This gives us 36/ 8
Now, depending on how you want your answer formulated, we just reduce it to either 9/2 minutes, or 4.5 minutes.
Hope this helpss!!!
The population density of a city is 121 residents per square mile. There are exactly 4,205 that live in the city.
What is the area of the city?
Answer:
34.75 ( that's round to the nearest hundredth )
Step-by-step explanation:
do the math
4x+8y=-11
X+2y=-7
Show your work
Answer:
No solutions.
Step-by-step explanation:
4x+8y=-11 (1)
X+2y=-7
Mutiply the second equation by -4:
-4x - 8y = 28
Now add this equation to equation (1):
0 + 0 = 17
which is absurd
So there are no solutions
Suppose this two-dimensional figure is rotated 360 degrees using the vertical axis
shown. Each small square on the grid represents 1 square inch. What is the volume of
the three-dimensional figure? (2pts)
A. 41.89 in
B. 33.51 in
C. 62.83 in 3
D. 37.70 in3
The volume of the three-dimensional figure formed if the two-dimensional figure is rotated 360 degrees is 37.70 in³
What is volume?Volume is the amount of space occupied by a three dimensional shape or object.
The volume of the three dimensional shape is:
Volume = volume of cylinder + volume of cone = (π(2²) * 2) + [(1/3) * π * (2²) * 3] = 37.70 in³
The volume of the three-dimensional figure formed if the two-dimensional figure is rotated 360 degrees is 37.70 in³
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Jessica has $32 to buy movie tickets that cost $5.25 each for her and her friends. the inequality 32≥5.25t represents the number of tickets t she could buy. what is the greatest number of tickets jessica can buy?
Citlali buys a pen for $1.50. She then bought 4 pieces of cardstock. Her
total came to $3.70.What was the cost of each piece of cardstock?
Answer: 55 cents
Step-by-step explanation:
3.70-1.50 is 2.20
2.20÷4 because she bought 4 cardstocks is 0.55 cents
Need Help!
Milk is on sale for 40% off when it is normally $3.75 per gallon. How much will a gallon of milk cost?
The discounted price for milk is $____ (Round to the nearest cent.)
What is:
4m+3−2m
PS: This is a quick question/giveaway
Answer:
4m -2m + 3
2m + 3
is the answer
Answer:
[tex]\boxed{\sf{2m+3}}[/tex]Step-by-step explanation:
Solve the problem by combining like terms.
Distribute the terms accordingly.
Distributive property:
⇒ A(B+C)=AB+AC
4m+3-2mFirst, combine like terms.
→ 4m-2m+3
Solve.
Add the numbers from left to right.
→ 4m-2m=2m
Rewrite the problem down.
→ 2m+3
Therefore, the final answer is 2m+3.I hope this helps you! Let me know if my answer is wrong or not.
find the area !
please hurry! Thank you!
Answer:
254.34 in²
Step-by-step explanation:
Assuming that the shape is a circle,
area of circle= πr², where r= radius.
Given that the diameter is 18 in,
radius= diameter ÷2
radius= 18 ÷2
radius= 9 in
Let's substitute r= 9 and use 3.14 as the value of π:
Area of circle
= 3.14(9²)
= 3.14(81)
= 254.34 in²
The circular base of a table lamp has a radius of 9 centimeters. What is the base’s circumference ?
(Use 3.14 for pi)
Answer:
56.52 cm
Step-by-step explanation:
Since the circular base has radius of 9 cm. Therefore the base’s circumference is:
[tex]\displaystyle \large{C=2\pi r}[/tex] where r is radius and C is circumference.
Input r = 9 in:
[tex]\displaystyle \large{C=2\pi \cdot 9}\\\displaystyle \large{C=18\pi}[/tex]
Since π is given to be 3.14:
[tex]\displaystyle \large{C=18\cdot 3.14}\\\displaystyle \large{C=56.52}[/tex]
Therefore, the base’s circumference is 56.52 cm
Answer:
Circumference of base is 56.52 cmStep-by-step explanation:
In this question we have given that radius of circular base of table lamp is 9 cm . And we are asked to find the circumference of base that means we have to find the circumference of circle .
We know that :
[tex]\qquad\underline{\boxed{\frak{{Circumference_{(Circle)} = 2\pi r }}}}[/tex]
Where ,
π refers to 3.14 r refers to radius of circleSolution : -
Now we are finding the circumference of circle by putting value of radius as 9 and value of π as 3.14 in the formula .
[tex] \longrightarrow \qquad \: 2 \times 3.14 \times 9[/tex]
[tex] \longrightarrow \qquad \:6.28 \times 9[/tex]
[tex] \longrightarrow \qquad \: \orange{\underline{\boxed{\frak{56.52 \: cm}}}}[/tex]
Therefore , circumference of base of a table lamp having radius 9 cm is 56.52 cm .#Keep Learning5.5 - Solving Quadratic Equations - Perfect Square Trinomials and Difference of Squares
Factor the following if they are a perfect square trinomial or a difference of squares.
a) x^2 + 24x + 144 = 0
b) 9x^2 - 36x + 36 = 0
c) x^2 - 64 = 0
d) 4x^2 - 81 = 0
Answer:
Step-by-step explanation:
(a²-2ab+b²)=(a-b)²
a²+2ab+b²=(a+b)²
i solve b and d
(b)
9x²-36x+36=0
(3x)²+2×3x×-6+(-6)²=(3x-6)²
(d)
a²-b²=(a+b)(a-b)
4x²-81=0
4x²-81=(2x)²-9²=(2x+9)(2x-9)
Factor the polynomials completely, then solve 48x² - 75 = 0
Answer:
[tex]x=\frac{5}{4} \text { or } x=-\frac{5}{4}[/tex]
Step-by-step explanation:
48 = 3 × 16
75 = 3 × 25
_________
Then, a Complete factorization of 48x² - 75 is :
[tex]\begin{aligned}48 x^{2}-75 &=3 \times\left(16 x^{2}\right)-3 \times(25) \\&=3 \times\left(16 x^{2}-25\right)\end{aligned}[/tex]
_____________________
Now let’s solve our equation 48x² - 75 = 0
48x² - 75 = 0 means 3 × (16x² − 25) = 0 means 16x² − 25 = 0
[tex]\begin{array}{l}16 x^{2}-25=0 \\\\\Leftrightarrow 16 x^{2}=25 \\\\\Leftrightarrow x^{2}=\frac{25}{16} \\\\\Leftrightarrow x=\sqrt{\frac{25}{16}} \text { or } x=-\sqrt{\frac{25}{16}} \\\\\Leftrightarrow x=\frac{5}{4} \text { or } x=-\frac{5}{4}\end{array}[/tex]
PLEASE HELP WILL GIVE BRAINLIEST!!!!
The height of a triangle is 4 times its base. If the triangle has an area of 162ft^2, find the length of the base and the height.
Answer:
base is root66 ft and height is 4root66 ft
Step-by-step explanation:
see the picture for full solution
A rectangular prism has a base area of 14 in², and a height of 7 inches. What is the volume of the prism?
Enter your answer in the box.
Given Information :-
⠀
A rectangular prism, with dimensions,
Base area ( l x b ) = 14 in²Height = 7 in.⠀
To Find :-
⠀
The volume of the prism⠀
Formula Used :-
⠀
[tex] \qquad \star \: \underline{ \boxed{ \green{ \sf Volume = l \times b \times h }}} \: \star[/tex]
⠀
Here, we have already been provided with the base area that is the value of the product of length and breadth. Now, we just have to multiply the base area by height.
⠀
Solution :-
⠀
[tex] \sf : \implies Volume =14 \: {in}^{2} \times 7 \: {in}^{} \\ \\ \\ \sf : \implies Volume = \underline{ \boxed{ \frak{ \orange{ {98 \: in}^{3} }}}} \: \star \: \: \: \: \: \: \: \: \\ \\ [/tex]
Thus, the volume of the rectangular prism is 98 m³.
⠀
[tex] \underline { \rule{227pt}{2pt}} \\ \\ [/tex]
Answer:
98
Step-by-step explanation:
14 x 7=98
The ride runs for 3 minutes. The disc
completes one up and down cycle every 45
seconds. How many complete up and down
cycles will occur during a single ride?
What is the sum of the six marked angles in the picture?
Answer:
The answer is option D - 1120°
1120° is the sum of the sixed marked angle in the picture. Therefore, the correct option is option D.
What is angle?
An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.
The angle formed by the rays lying perpendicular to the two crossing curves at the point of junction is another property of intersecting curves. Angle can also refer to the size of such an angle or a rotational angle. The width of a circular path divided by its radius is the traditional definition of this metric, which may also be signed. 1120° is the sum of the sixed marked angle in the picture.
Therefore, the correct option is option D.
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