The equation to represent the relationship of the weights shown on the scale s [tex]22 + x = 34[/tex]
The weights are given as:
[tex]Small\ Square = 1[/tex]
[tex]Larger\ Square = 10[/tex]
The total weight on one side, where there are 4 small squares and 3 large squares is:
[tex]Total =4\times Small\ Square + 3 \times Larger\ Square[/tex]
[tex]Total =4\times 1 + 3 \times 10[/tex]
[tex]Total =34[/tex]
The total weight on the other side, where there are 2 small squares, 2 large squares and 1 triangle is:
[tex]Total =2\times Small\ Square + 2 \times Larger\ Square + 1\times triangle[/tex]
[tex]Total =2\times 1+ 2 \times 10+ 1\times triangle[/tex]
[tex]Total =2+ 20+ 1\times triangle[/tex]
[tex]Total =22+ 1\times triangle[/tex]
[tex]Total =22+ triangle[/tex]
The weight of the triangle is x.
So, we have:
[tex]Total =22+ x[/tex]
The weights on both sides are equal, because the scale is balanced.
So, we have:
[tex]22 + x = 34[/tex]
Hence, the equation is [tex]22 + x = 34[/tex]
Read more about equations at:
https://brainly.com/question/2972832
3. Solve each equality or inequality:
a. |8x-6|= 0
Answer:
x = 3/4
Step-by-step explanation:
Step 1: Find possibilities.
We know one possibility: 8x - 6 = 0. This is because 0 cannot be positive or negative.Step 2: Solve possibility 1.
[tex]8x - 6 = 0[/tex] [tex]8x - 6 + 6 = 0 + 6[/tex] (Add 6 to both sides)[tex]8x = 6[/tex] [tex]\frac{8x}{8} =\frac{6}{8}[/tex] (Divide both sides by 8)[tex]x = \frac{3}{4}[/tex]Therefore, x = 3/4.
The expression below represents the perimeter of a square in centimeters.
4(6+2.5)
What is the square's perimeter?
Answer:
34
Step-by-step explanation:
4(8.5) = 34
Which formula gives the zeros of y = sin(x)? k pi for any positive integer k k pi for any integer k StartFraction k pi Over 2 EndFraction for any positive integer k StartFraction k pi Over 2 EndFraction for any integer k.
Answer:
[tex]x=k\pi[/tex] for any integer [tex]k[/tex]
Step-by-step explanation:
To solve the problem we must know about the sine function.
In [tex]y= sin(k\pi)[/tex], the value of k will be any integer to form a circle.
Given in the question :
[tex]y= sin(\pi)[/tex]What is the Value of Sine(kπ)?Among all the options given,
[tex]y= sin(k\pi)[/tex] will always give 0, since the value of [tex]\pi[/tex] is [tex]360^0[/tex]. So, if you multiply any integer to [tex]\pi[/tex] the result will always give a full circle.
therefore, the value of [tex]sin(k\pi)[/tex] will always remains 0.
Hence, In [tex]y= sin(k\pi)[/tex], the value of k will be any integer to form a circle.
Learn more about Sine function:
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solve the system of equations please help
Gravitational force acts on all object in proportion to their masses. Why then, a heavy object does not fall faster than a light object?
Answer:
[tex]\huge\color{pink}\boxed{\colorbox{black}{Answer♡}}[/tex]
The reason that a heavy body doesn't fall faster than a light body is because the greater gravitational force on the heavier body (its weight), acts on a correspondingly greater mass (inertia). The ratio of gravitational force to mass is the same for every body—hence all bodies in free fall accelerate equally.
hope helpful~
~Be Brainly!~ExhaustedZombieCan you help me answer this question?
Increase £184 by 3%
Answer:
189.52
Step-by-step explanation:
184 x 0.03
5.52
184 + 5.52
189.52
Answer:
184*1.03 = £189.52
Step-by-step explanation:
Please help I don't know how to do this
Answer:
(a) (2x +7), (x -4)
(b) (-7/2, 0), (4, 0)
Step-by-step explanation:
(a)When looking for integer factors of a quadratic of the for ax² +bx +c = 0, it is useful to start by looking for factor pairs whose product is a·c and whose sum is b.
Here, that means you're examining the factors of 2·(-28) = -56, and looking for a pair that have a sum of -1. We can start by examining the ways that -56 can be factored:
-56 = -56(1) = -28(2) = -14(4) = -8(7)
Sums of these factor pairs are -55, -26, -10, -1, so it is the last pair we're interested in.
At this point, you can rewrite the x-term using these factors and then factor the quadratic by pairs.
2x² -8x +7x -28 = 0 . . . . . . . use -x = -8x+7x
(2x² -8x) +(7x -28) = 0 . . . . group into pairs of terms
2x(x -4) +7(x -4) = 0 . . . . . . factor each pair of terms
(2x +7)(x -4) = 0 . . . . . . . . . the factored equation
The factors of this equation are (2x +7) and (x -4).
__
(b)The x-intercepts are the values of x that make the factors zero.
2x +7 = 0 . . . looking for x that makes the first factor zero
2x = -7 . . . . . subtract 7
x = -7/2 . . . . divide by the coefficient of x
__
x -4 = 0 . . . . looking for x that makes the second factor zero
x = 4 . . . . . . add 4
The x-intercepts are x = -7/2 and x = 4.
[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
[tex]\huge\bold\orange{QUESTIONS:}[/tex]
3. Given this quadratic equation, 2x²-x-28= 0.
(a) List the factors of this equation.
(b) Determine the x-intercepts
[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
[tex]\huge\bold\orange{ANSWER:}[/tex]
(a) (x-4) and (2x+7)
(b) x=4 and x=-7/2
[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
[tex]\huge\bold\orange{SOLUTION:}[/tex]
2x²-x-28=02x²+7x-8x-28=02x²-8x+7-28=02x(x-4)+7(x-4)=0(x-4)(2x+7)=0x-4= 0 or 2x+7=0x=4 or 2x=-7x=4 or x= -7/2[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
#CarryOnlearning
35 is more than the product of 5 and the difference of a number and 1.
In ΔSTU, u = 280 inches, ∠T=63° and ∠U=29°. Find the length of t, to the nearest 10th of an inch.
Answer:
t = 514.6in.
Step-by-step explanation:
280/sin(29°) = t/sin(63°)
t = 280*sin(63°)/sin(29°)
t = 514.6 in. (to the nearest 10th of an inch)
a train which is 100 meters long is traveling at a speed of 90km per hour. How many seconds will it take for this train to pass completely through a 300 meter tunnel
The train will take 16 seconds to pass completely through a 300 meter tunnel.
Let suppose that the train moves itself at constant velocity, the vehicles needs to cover the tunnel length ([tex]L[/tex]) and its length ([tex]l[/tex]), both in meters, to pass through the tunnel, the time taken by the train ([tex]t[/tex]) is described by the following kinematic formula:
[tex]t = \frac{L+l}{v}[/tex] (1)
Where [tex]v[/tex] is the train velocity, in meters per second.
If we know that [tex]L = 300\,m[/tex], [tex]l = 100\,m[/tex] and [tex]v = 90\,\frac{km}{h}\,\left(25\,\frac{m}{s} \right)[/tex], then the time taken by the train is:
[tex]t = \frac{300\,m + 100\,m}{25\,\frac{m}{s} }[/tex]
[tex]t = 16\,s[/tex]
The train will take 16 seconds to pass completely through a 300 meter tunnel.
To learn more on uniform motion, we kindly invite to check this verified question: https://brainly.com/question/12920060
2/5% as a fraction
Pld
Hey there!
2/5%
= 2/5
= 2 ÷ 5
= 0.40
= 0.40 × 100
= 40%
Therefore, your answer is: 40%
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
A dress which costs $180 is being sold at a discount of 10%. The amount of the discount is
$1.80
$10.00
$18.00
$170.00
Answer:
The discount is 18 dollars
Step-by-step explanation:
which net represents this rectangular prism?
Answer:
Top left
Step-by-step explanation:
A sheet of cardboard is 1.6 m by 0.8 m. The following shapes are cut from the cardboard: ● a circular piece with radius 12 cm ● a rectangular piece 20 cm by 15 cm ● 2 triangular pieces with base 30 cm and height 10 cm. What is the area of the remaining piece of cardboard in m²? (Consider π = 22/7)
Answer:
1.17m²
Step-by-step explanation:
Total area of cardboard=
[tex]1.6 \times 0.8 = 1.28m {}^{2} [/tex]
Area of circular piece=
[tex]\pi \: r {}^{2} = ( \frac{22}{7} )(0.12) {}^{2} = \frac{198}{4375} m {}^{2} [/tex]
Area of rectangular piece=
[tex]0.2 \times 0.15 = 0.03m {}^{2} [/tex]
Area of 2 triangular pieces=
[tex]2( \frac{1}{2} \times 0.3 \times 0.1) = 0.03m {}^{2} [/tex]
Remaining area of the cardboard= Total area of cardboard - circular piece - 2 triangular pieces
[tex]1.28 - \frac{198}{4375} - 0.03 -0.03 = \frac{21083}{17500} =1.17m {}^{2} [/tex]
S is a geometric sequence.
a) (1x + 1), 1 and (rootx - 1) are the first three terms of S.
Find the value of x.
You must show all your working.
b) The 5 term of S can be written in the form a V2 + b
where a and b are integers
Find the value of a and the value of b
Answer: your answer would be 2
Step-by-step explanation:
If y varies directly as x, find y:
{(8, -12). (20, y)}
[tex]\\ \sf\longmapsto x_1y_2=x_2y_1[/tex]
[tex]\\ \sf\longmapsto 8y=-12(20)[/tex]
[tex]\\ \sf\longmapsto 8y=-240[/tex]
[tex]\\ \sf\longmapsto y=-240/8[/tex]
[tex]\\ \sf\longmapsto y=-60[/tex]
i need to find the zeros by factoring but im stuck plss help me i think the zeros may be 0, 1, -4, and 4 but i dont know how to get them??
According to building codes, a wheelchair ramp should have a slope of 1/10 or less.
a) Does the wheelchair ramp shown meet the requirements? (The ramp had a height of 75 cm and a length of 800 cm.)
Include calculations to justify your answer.
Using the slope formula, it is found that the slope is of 0.09375 < 0.1, hence, it meets the requirements.
The slope of a ramp is given by it's height divided by it's length, that is:
[tex]m = \frac{h}{l}[/tex]
In this problem:
The height is of 75 cm, hence [tex]h = 75[/tex].The length is of 800 cm, hence [tex]l = 800[/tex].Then, the slope is given by:
[tex]m = \frac{h}{l} = \frac{75}{800} = 0.09375[/tex]
The slope is of 0.09375 < 0.1, hence, it meets the requirements.
A similar problem about the use of slopes in ramps is given at https://brainly.com/question/18090623
Solve for x
-7x - 8 = 10x +4
Answer: put 14
Step-by-step explanation:
Plz help. I need this by tomorrow or I’ll get detention.
[tex]\dfrac{6+ \sqrt{27}}{4-\sqrt3} \\\\\\=\dfrac{\left(6+\sqrt{27}\right)\left(4+\sqrt 3 \right)}{\left(4-\sqrt 3\right) \left(4+\sqrt 3\right)}\\\\\\=\dfrac{24+6\sqrt 3+4\sqrt{27}+\sqrt{27\cdot 3}}{4^2 - \left(\sqrt 3 \right)^2}\\\\\\=\dfrac{24+6\sqrt3+4\sqrt{9\cdot 3} +\sqrt{81}}{16-3}\\\\\\=\dfrac{24+6\sqrt 3 +12\sqrt 3 + 9 }{13}\\\\\\=\dfrac{33+18\sqrt 3}{13}\\\\\\\text{Hence, r = 33 and s = 18}[/tex]
Solve for x. −4.5(x+3.21)= −33.21 HELP PLZ
Answer:
4.17
Step-by-step explanation:
Answer:
lol
Step-by-step explanation:
Find the circumference of a circle with a radius of 11.15 cm
Answer:
390.377
Step-by-step explanation:
pi*r^2
Eva earns $5.50 per hour and time-and-a-half for overtime for all hours over 40 hours. How much did she earn the week she worked 47 hours?
Answer:
$277.75
5.50×40=220
5.50÷2=2.75
5.50+2.75=8.25×7=57.75
57.75+220=277.75
Divide. Then check using multiplication. The first one is done for you. Lesson 22 5.2 485 divided by 15.
Answer:
Its answer is 32.33
Step-by-step explanation:
The perimeter of the figure is given. Find the length of the indicated side. 4x -4 is one side what's the unknown slide the figure is a rectangle Perimeter = 12x + 4 The length of the indicated side is
Answer:
2x+6
Step-by-step explanation:
Perimeter of a rectangle= 2(length + width)
12x+ 4= 2(length + 4x-4)
2(6x+2)= 2(length + 4x-4)
divide both sides by 2
6x+2= length+4x-4
length = 2x +6
Write the following numbers in order from least to greatest: -5.6, 7.95, 2.06, 0, -6.89
Please help :)
I think I know it but can someone help me double check
Answer:
-6.89, -5.6, 0, 2.06, 7.95
Step-by-step explanation:
Hope this helps!
-6.89.-5.6,0,2.06,7.95
Negatives are always lesser values than positives.
how many days would it take to eat an water buffalo
A, who travels 4 miles an hour starts from a certain place 2 hours in advance of B, who travels 5
miles an hour in the same direction. How many hours must B travel to overtake A?
It will take B 8 hours to travel in order to overtake A.
The relationship among the distance, time and speed can be expressed by using the relation.
[tex]\mathbf{speed = \dfrac{distance}{time}}[/tex]
In this kind of ratio relation, it is pertinent to understand that, the rise in a variable cause a decrease in the other, where the third variable is constant.
Here:
as speed (v) rises;time (t) decreases, and distance (d) is constantFrom the given relation:
Distance = speed × timeSo, we can have a table expressing the parameters given in the question as follows:
v t d
A 4 t+2 4t + 8
B 5 t 5t
Equating both distance together, we have:
4t + 8 = 5t
collecting like terms, we have:
4t - 5t = -8
t = 8 hours
Therefore, we can conclude that it will take B 8 hours to travel in order to overtake A.
Learn more about distance, time and speed here:
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Please solve for x.................
Answer:
x=1
Step-by-step explanation:
3(x + 4) = 5(x + 2)
3x+12=5x+10
2x=2
x=1
Answer:
X=1
Step-by-step explanation:
3/x+2 = 5/x+4
3/(1+2) = 5/(1+4)
3/3 = 5/5
3/3=1
5/5=1
Solve for the missing side length for the triangle below