Answer:
[tex]x+5[/tex]
Step-by-step explanation:
[tex]\left(4x-5\right)-\left(3x-10\right)[/tex]
[tex]\mathrm{Apply\:rule}:\quad \left(a\right)=a[/tex]
[tex]\left(4x-5\right)=4x-5[/tex]
[tex]=4x-5-\left(3x-10\right)[/tex]
[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:-\left(a-b\right)=-a+b[/tex]
[tex]-\left(3x-10\right)=-3x+10[/tex]
[tex]=4x-5-3x+10[/tex]
[tex]\mathrm{Group\:like\:terms}[/tex]
[tex]=4x-3x-5+10[/tex]
[tex]\mathrm{Add\:the\:numbers:}\:-5+10=5[/tex]
[tex]=4x-3x+5[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:4x-3x=x[/tex]
[tex]=x+5[/tex]
What is the lenght of the side opposite the 45 degree angle?
Answer: 5√2
Step-by-step explanation:
the opposite sides on a 45 45 90 triangle
Look at the image:
Simplify the polynomial by writing each of its term in standard form. 1.5xy^2 *(-4)xyz-4mnk*5m^2 n^3 k
The simplified polynomial by writing each of its term in standard form is:
[tex]-20m^{3}[/tex] [tex]n^{4}[/tex][tex]k^{2}[/tex] - [tex]6xy^{3z}[/tex]
What is polynomial?
A polynomial is a mathematical expression that consists of variables and coefficients, which are combined using arithmetic operations such as addition, subtraction, multiplication, and non-negative integer exponents.
To simplify the given polynomial by writing each of its term in standard form, we need to expand the products and arrange the terms in decreasing order of their degree.
First, let's expand the product [tex]1.5xy^{2}[/tex] *(-4)xyz:
[tex]1.5xy^{2}[/tex] *(-4)xyz = ([tex]-6xy^{3z}[/tex])
Next, let's expand the product -4mnk*[tex]5m^{2}[/tex] [tex]n^{3}[/tex] k:
-4mnk*[tex]5m^{2}[/tex] [tex]n^{3}[/tex]k = ([tex]-20m^{3}[/tex] [tex]n^{4}[/tex] [tex]k^{2}[/tex])
Now, we can write the simplified polynomial by adding the two terms we obtained and arranging them in decreasing order of their degree:
[tex]-20m^{3}[/tex] [tex]n^{4}[/tex] [tex]k^{2}[/tex] - 6xy^3z[tex]6xy^{3z}[/tex]
Therefore, the simplified polynomial by writing each of its term in standard form is:
[tex]-20m^{3}[/tex][tex]n^{4}[/tex] [tex]k^{2}[/tex] - [tex]6xy^{3z}[/tex]
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A class of 20 students is visiting the fair today. Each student is 16 years old or younger and will participate in either the Hay Bale Toss or the Pie Eating Contest. If all 20 students joined the same event, how would the shape of the histogram change compared to the original?
Histogram with title Hay Bale Toss, horizontal axis labeled Age Group (year) with bins 0 to 19, 20 to 39, 40 to 59, and 60 to 79 and vertical axis labeled Number of People with values from 0 to 60 at intervals of 10. The first bin goes to 40, the second goes to 50, the third goes to 30, and the last goes to 20. Histogram with title Pie Eating Contest, horizontal axis labeled Age Group (year) with bins 0 to 19, 20 to 39, 40 to 59, and 60 to 79 and vertical axis labeled Number of People with values from 0 to 60 at intervals of 10. The first bin goes to 20, the second goes to 40, the third goes to 60, and the last goes to 50.
The Hay Bale Toss would be more symmetrical.
The Pie Eating Contest would be less symmetrical.
The Hay Bale Toss would be more skewed.
The Pie Eating Contest would be more skewed.
Answer:
C
Step-by-step explanation:
Got it right on the flvs
1. Find the volume of the prism below. *
22 in
U! 6L
5.5 in
A 294.8 cubic inches
O B 955.9 cubic inches
O C 35.4 cubic inches
OD 179.3 cubic inches
Answer:
B
Step-by-step explanation:
V= breath times height times width
[tex]22 \times 7.9 \times 5.5 = 955.9[/tex]
What is the exact volume of the cone?
0 4077 cm
10 cm
80
3
π cm²
O
160
3
TT cm
4 cm
o 160 cm
(Please help!!)
Answer:
[tex]40\pi \: {cm}^{3} [/tex] will be your answer
[tex]\tt V=\dfrac{1}{3}h\pi r^2\\\\V=\dfrac{1}{3}\times 10\times \pi 4^2\\\\V=\dfrac{160\pi }{3}[/tex]
determine which of the values is a solution of 4t+6≤10
Solution =
not a Solution =
The solution of the inequality 4t + 6 ≤ 10 will be less than or equal to 1.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below.
4t + 6 ≤ 10
Simplify the inequality, then we have
4t + 6 ≤ 10
4t ≤ 10 - 6
4t ≤ 4
t ≤ 4 / 4
t ≤ 1
The solution of the inequality 4t + 6 ≤ 10 will be less than or equal to 1.
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There are 8 green marbles and 11 blue marbles in a bag. You randomly choose one of the marbles. What is the probability of choosing a green marble? Write your answer as a fraction in simplest form.
Answer:
Total number of marbles in the bag = 8+11?=19
Number of green marbles = 8
Number of blue marbles = 11
Probability of choosing a green marble randomly = 8/19
Step-by-step explanation:
Please mark me brainliest
Identify a possible value for X that would make the relation shown in the table not A function. Explain.
Answer:
A possible value for X that would not make the table a function would be 5
Step-by-step explanation:
For a table to have a function, you must have a constant rate of change, changing from -1 to 5 and then to 2 would not be a constant rate of change.
Hope this helps!
Please give brainliest!
what is 15 < −5x because i keep getting stuck on this and its really getting me mad
Answer:
its 3 fam just divide 15 by 5
Step-by-step explanation:
Mandy works construction. She knows that a 555 meter long metal bar has a mass of 40 \text{ kg}40 kg40, start text, space, k, g, end text. Mandy wants to figure out the mass (w)(w)left parenthesis, w, right parenthesis of a bar made out of the same metal that is 333 meters long and the same thickness. What is the mass of the shorter bar?
Answer:
Answer:
Proportion b. 5/3 = 40/w is the answer and w = 24 kg.
Step-by-step explanation:
it is given in the question that a metal bar was 5 meter long and has a mass of 40 kg. Mandy makes a bar again by using same metal of length 3 meters and mass w.
Since metal of the rods are same so weight per meter of the rod will be same.
mass per meter of 5 meter rod = 40/5
mass per meter of 3 meter rod = w/3
Both are same so
40/5 = w/3 is the proportion Mandy will use.
By using this proportion Mandy will get w = 3×40/5 = 24 kg
Step-by-step explanation:
Choose an equivalent expression for 123 • 129 • 124 • 122.
Answer:
[tex]12 {}^{18} \\ \\ 100\%\: correct \: answer[/tex]
B. 12^18 is the correct answer...Hopes to get BRAINLIEST....Thank you ☺️
The equivalent expression for the given expression from the question is [tex]12^{18}[/tex]
From law of indices[tex]X^2 . X^2 .X^3 = X^(2+2+3)= X^7[/tex]Same principle applies.we were given [tex]12^3 . 12^9 . 12^ 4 .12^2[/tex]since they all have the same base, then we can sum up their powers, then we have[tex]12^(3+9+2+2)[/tex][tex]= 12^18[/tex]
Therefore, the equivalent expression is [tex]12^{18}[/tex]
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What is the surface area of the cube shown?
square centimeters
The area of one face is length x width:
Area of one face = 6.5 x 6.5 = 42.25 square cm.
There are 6 total faces on a cure.
Total surface area = 42.25 x 6 = 253.5 square cm.
What’s the measure of Please help I need this ASAP
Answer:
the answer is 124 degrees my friend
Bella wants to tile a wall measuring 1.2 m by 2.16 m. She finds square tiles she likes with side lengths of 10 cm, 12 cm or 18 cm.
Which of these tiles will fit the wall exactly?
Answer:
Step-by-step explanation:
1.2m = 120 cm
2.16 m = 216cm
120×216 =25920cm
2) 10×18 = 180
25920/180= 144
√144 = 12
karen has 2 gallon bucket that is half full of water. when she poured the water into another bucket, that bucket was one fourth full. how much water will the second bucket hold
Answer:
1 3/4 gallons
Step-by-step explanation:
Please answer all of the problems attached in the pdf. I have fallen behind in studiess and need a little help - thanks
Answer:
Step-by-step explanation:
Alexa can bike home from school an hour and a half faster than she can walk home. her biking speed is 9 miles per hour faster than her walking speed. her school is 6 miles from her home. write an equation that can be used to find her walking speed, w.
The equation that can be used to find the walking speed is as follows:
w = 6 / x
How to calculate speedspeed = distance / timeTherefore,
let her walking speed = w
The time she can walk home = x hours
time she can bike home = (1.5 + x) hours
bike speed = (9 + w) miles per hours
Her school is 6 miles from her home.
Therefore, the equation that can be used to find the walking speed is as follows.
speed = distance / timew = 6 / x
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A photograph has a length that is 2 inches longer than its width. There is a 1-inch frame surrounding the photograph. Which expression represents the area of the entire photograph and frame combined?
The expression representing the area of the entire photograph and frame combined is A = x²+4x+3.
What is Area?Area is the amount of space taken up by a plane shape.
To find an expression for the area of the entire photograph and the frame combined, we use the formula below.
Formula:
A = L×W............. Equation 1Where:
A = Area of the photograph and the frameL = Length of the photograph and the frameW = Width of the photograph and the frameFrom the question,
Let the width of the photograph be x, The length of the photograph = (x+2) inchesL = (x+2)+1 = (x+3) inchesW = (x+1) inchesSubstitute these values into equation 1
A = (x+3)(x+1)A = x²+x+3x+3A = x²+4x+3Hence, The expression representing the area of the entire photograph and frame combined is A = x²+4x+3.
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Factor out the greatest common factor in the following polynominal. x^4-8x^3+x^2
Answer:
The greatest factor of the polynomial is x^2.
To factor out x^2, we divide each term by x^2:
x^2 - 8x + 1
Don't forget to multiply back the x^2:
x^2(x^2 - 8x + 1)
I hope this helped you.
Tracy has a cell phone plan that provides 250 free minutes each month for a flat rate of 29$. For any minutes over 250 tracy us charged 0.35$ per minute. Which of the following picewise functions represents charges based on tracy’s cell phone plane?
Answer:
Since Tracy is charged $29 for 250 free minutes so:
For x ≤ 250, f(x) = $29
tracy is charged an extra $0.35 per minute for calls over 250 minutes, so:
For x ≥ 250, f(x) = 29 + 0.35(x - 250)
PLEASE HELP 64 POINTS!! I WILL AWARD BRAINLIEST
Answer:
no solution
Step-by-step explanation:
There are no values of x that make the equation true.
No solution
Answer:
5 divide by 8 equal 0.625 + 2 = 2.625 + x= 2.625x and 1-3x equal = 2x(5/6)= 17x
Step-by-step explanation:
A Step-by-step means moving slowly from one stage or level to the next
Don’t worry, we’ll take things one step at a time.
What is the answer to this?
Answer:
-26
Step-by-step explanation:
y=mx+c
x and y are coordinates
m is gradient
c is y-intercept
if x^2 has a number before it, divide c by that number
so -26/1 = -26
how can we use the study of time measurement's in our time Management?
Answer:
We can measure the amount of time it takes us to complete a task and plan our day accordingly to fit that task in.
36) How old am I if 500 reduced by 3 times
my age is 299?
Answer:
67
Step-by-step explanation:
500 − 3x = 299
3x = 201
x = 67
What is the slope of a line parallel to the line whose equation is 5x + y = -9
Answer:
-5
Step-by-step explanation:
Because this equation is in standard form you can do -A/B which is the first two numbers of the equation, and since -A=5 and B=y(1) then i just did -5/1 and i got -5
Element X decays radioactively with a half life of 10 minutes. If there are 110 grams of
Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 18 grams?
The time taken to the nearest tenth for the element X to decay from 110 g to 18 g is 26.1 mins
How to determine the number of half-lives Original amount (N₀) = 110gAmount remaining (N) = 18 gNumber of half-lives (n) =?2ⁿ = N₀ / N
2ⁿ = 110 / 18
2ⁿ = 55/9
Take the log of both side
Log 2ⁿ = Log (55/9)
nLog 2 = Log (55/9)
Divide both side by Log 2
n = Log (55/9) ÷ Log 2
n = 2.61
How to determine the time Number of half-lives (n) = 2.61Half-life (t½) = 10 minsTime (t) =?t = n × t½
t = 2.61 × 10
t = 26.1 mins
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I’m super confused about this question as it’s a new topic please help me
Check the images for steps.
Therefore, the large jar costs less per gram as it is only 0.0035 compared to the small one which is 0.0037 per gram.
Thus, the large jar is the best value for money.
A cut piece of ribbon is 21 inches long. The piece of ribbon is 15% of the original length of the ribbon.
How long was the original length of the ribbon?
Answer:
140 inches
Step-by-step explanation:
21 is 15% of 140.
PLEASE HELP Solve the right triangle.
Round your answers to the nearest tenth.
Answer:
A = 40°
a = 9.0
b = 10.7
Step-by-step explanation:
The sum of interior angles of a triangle is 180°
⇒ m∠A + 50° + 90° = 180°
⇒ m∠A + 140° = 180°
⇒ m∠A = 180° - 140°
⇒ m∠A = 40°
[tex]\mathsf{\cos(\theta)=\dfrac{adjacent\ side}{hypotenuse}}[/tex]
Given:
[tex]\theta[/tex] = 50°side adjacent to the angle = ahypotenuse = 14[tex]\implies \mathsf{\cos(50)=\dfrac{a}{14}}[/tex]
[tex]\implies \mathsf{a=14\cos(50)}[/tex]
[tex]\implies \mathsf{a=9.0\ (nearest\ tenth)}[/tex]
[tex]\mathsf{\sin(\theta)=\dfrac{opposite\ side}{hypotenuse}}[/tex]
Given:
[tex]\theta[/tex] = 50°side opposite to the angle = bhypotenuse = 14[tex]\implies \mathsf{\sin(50)=\dfrac{b}{14}}[/tex]
[tex]\implies \mathsf{b=14\sin(50)}[/tex]
[tex]\implies \mathsf{b=10.7\ (nearest\ tenth)}[/tex]
[tex]\bold{\huge{\underline{ Solution }}}[/tex]
Let consider the given triangle be ABC
Here, It is given in the question that ,
[tex]\sf{ {\angle} B = 90° }[/tex][tex]\sf{ {\angle} C = 50° }[/tex][tex]\sf{ AC = 14 }[/tex]Therefore,By using Angle sum property
It states that the sum of all angles of triangles are equal to 180°That is,
[tex]\bold{\pink{ {\angle} A + {\angle}B + {\angle}C = 180{\degree}}}[/tex]
Subsitute the required values,
[tex]\sf{ {\angle}A + 90{\degree} + 50{\degree}\: =\: 180{\degree} }[/tex]
[tex]\sf{ {\angle}A + 140{\degree}\: = \:180{\degree} }[/tex]
[tex]\sf{ {\angle}A\: = \: 180{\degree} - 140{\degree} }[/tex]
[tex]\sf{ {\angle}A \: =\: 40{\degree} }[/tex]
Thus, The angle A is 40°
Now,We have to find the side a and b
We know that,
[tex]\bold{\red{ Sin{\theta} \:=\: }}{\bold{\red{\dfrac{Perpendicular }{Hypotenuse }}}}[/tex]
[tex]\bold{\red{ Cos{\theta} \:=\: }}{\bold{\red{\dfrac{ Base }{Hypotenuse }}}}[/tex]
For side A[tex]\sf{ Sin\: 40 {\degree} \:= \:}{\sf{\dfrac{ a}{ 14 }}}[/tex]
[tex]\sf{ Sin(}{\sf{\dfrac{2{\pi}}{9}}}{\sf{) \:= \:}}{\sf{\dfrac{ a}{14 }}}[/tex]
[tex]\sf{Sin(}{\sf{\dfrac{2{\times} 3.14 }{9}}}{\sf{) \:= \:}}{\sf{\dfrac{ a}{14 }}}[/tex]
[tex]\sf{sin(}{\sf{\dfrac{6.28}{9}}}{\sf{) \:=\: }}{\sf{\dfrac{ a}{14 }}}[/tex]
[tex]\sf{ a \:= \:14 {\times} 0.64}[/tex]
[tex]\sf{ a \: = \:14 {\times} 0.64}[/tex]
[tex]\bold{ a\: =\: 8.96\: \: or \:\:9\:\: (approx) }[/tex]
For Side B[tex]\sf{ Sin\: 50 {\degree} = }{\sf{\dfrac{ b }{ 14 }}}[/tex]
[tex]\sf{Sin(}{\sf{\dfrac{5{\pi}}{18}}}{\sf{)\: =\: }}{\sf{\dfrac{ b}{14 }}}[/tex]
[tex]\sf{Sin(}{\sf{\dfrac{5{\times} 3.14 }{18}}}{\sf{ ) \: = \:}}{\sf{\dfrac{ b}{14 }}}[/tex]
[tex]\sf{Sin(}{\sf{\dfrac{15.7}{18}}}{\sf{ )\: = \:}}{\sf{\dfrac{ b}{14 }}}[/tex]
[tex]\sf{ b\: = \:14 {\times} 0.76}[/tex]
[tex]\bold{ b\: = \: 10.64\:\: or \:\:10.7\:\: (approx) }[/tex]
Hence, The value of angle A , side a and b is 40° , 9 and 10.7 .
15 plus a number equals 25
Answer: 10
Step-by-step explanation: 15+10=25
The statement 15 plus a number equals 25 is equals to 10.
We are given that;
The statement
Now,
Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
To find the number, we can use the following steps:
Write the equation using a variable for the unknown number: 15 + x = 25
Subtract 15 from both sides: 15 + x - 15 = 25 - 15
Simplify: x = 10
Therefore, by algebra the answer will be 10.
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