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the answer is in the picture
Related Questions
Subtract the second equation from the first.
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Answer:
2y = 8
Step-by-step explanation:
4x+3y = 17
- ( 4x+y = 9)
----------------------
Distribute the minus sign
4x+3y = 17
- 4x -y =- 9
----------------------
0x +2y = 8
Answer:
2y = 8
Step-by-step explanation:
4x+3y=17
-4x-y=9
_______
0+2y=8
2y=8
adhiambos entertainment hall has a rectangular floor measuring 30m by 24m ,she wants to cover it with square tiles. each tile has a surface area of 900cm. the tiles are packed in cartons each containing ten tiles. How many cartons of tiles does she require?
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1 meter = 100 cm
Convert the dimensions of the room to cm:
30m x 100 = 3000 cm
24 m x 100 = 2400 cm
Area of floor = 3000 x 2400 = 7,200,000 square cm
Find number of tiles by dividing area of room by area of a tile:
7,200,00 / 9000 = 800
They will need 800 tiles
800 tiles / 10 tiles per carton = 80
They will need 80 cartons
Determine a simplified expression for the shaded area
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Answer:
4x^2-3x
Step-by-step explanation:
3x(2x+5) = 6x^2+15x
2x(x+9) = 2x^2+18x
(6x^2+15x)-(2x^2+18x) = 4x^2-3x
Answer:
11x
Step-by-step explanation:
Mr. Atkinson manages playgrounds for the 8 elementary schools in the Franklin School District. This year, he wants to put new sandboxes at each of the schools. He estimates that he will need 3 tons of sand for this project. How many 50-pound bags of sand should he order for each school?
Answers
Answer: 5 bags of sand
Step-by-step explanation:
Given
There are 8 elementary schools
3 Tons of sand is needed
It is contained in a 50- Pound bag
1 ton is equivalent to 2000 Pound
No of 50- Pound bag required is
[tex]\Rightarrow n=\dfrac{2000}{50}\\\\\Rightarrow n=40[/tex]
These 40 bags will be required in 8 schools. So, each school requires
[tex]\Rightarrow \dfrac{40}{8}=5\ \text{bag}[/tex]
Answer:
The number of bags required for each school is 16.53
Step-by-step explanation:
Number of schools = 8
Total sand required = 3 tons
mass of each bag = 50 pounds
Sand required for each school = 3 ton/ 8 = 3000 / 8 kg = 375 kg
1 pound = 0.454 kg
1 kg = 2.205 pounds
So, 375 kg = 826.7 pounds
So, the number of bags required for each school = 826.7/50 = 16.53 bags
Write a formula that connects the number of sides of the end face,
S
, with the number of vertices,
V
.
Hence, find the number of vertices of a prism whose cross-section is a 30-sided polygon.
Answers
Answer:
56
Step-by-step explanation:
Euler theorem is a theorem used to show the relationship between the face, vertices and edge of a three dimensional shape (polyhedron)
Euler theorem is given as:
Face + vertex = Edge + 2
We can prove this theorem using the table attached.
For triangular prism: 5 + 6 = 9 + 2
For rectangular prism: 6 + 8 = 12 + 2
For pentagon prism: 7+ 10 = 15 + 2
For hexagonal prism: 8 + 12 = 18 + 2
The relationship between the vertex and face is:
vertex = face + (face - 4)
Therefore, for a prism with 30 sides, that is 30 faces, we have:
vertices = 30 + (30 - 4) = 30 + 26 = 56
−5.8c+4.2−3.1+1.4c helppppppp
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Answer:
its 4
Step-by-step explanation:
Roma swims at a rate of 54 metre per minute. At this rate how long does she take to swim 270 metre ?
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Answer:
Step-by-step explanation:
54 times 270 = 14580
First one gram equals 1000 grams, so a 39 kilogram equals 39000 grams. Then, 1000 pillows times 300 equals a 39 kilogram sofa. Is my answer correct?
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Answer:
No
Step-by-step explanation:
Kilogram is the unit of weight. Kilogram is the measure of how much matter or the mass an object has in it. Kilogram is the bigger unit of measurement while gram and milligram are the smaller units to measure the weight of any object.
We know,
1 kilogram = 1000 gram x 1
So, 1000 gram is equal to 1 kilogram
That means, 39,000 gram is equal to 39 kilogram.
In the question it is asked whether 1000 pillows times 300 is equal to 39 kilogram sofa or not.
The answer is not correct, because we do not know the weight of the 1000 pillows.
And also, 1000 x 300 will give you 300,000 and not 39 kilogram or 39,000 grams.
Solve for x. Round to the nearest tenth, if necessary. 1.8 & x
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Answer:
x ≈ 1.4
Step-by-step explanation:
Using the sine ratio in the right triangle
sin50° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{RS}{RT}[/tex] = [tex]\frac{x}{1.8}[/tex] ( multiply both sides by 1.8 )
1.8 × sin50° = x , then
x ≈ 1.4 ( to the nearest tenth )
differentiate with product rule
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Answer:
[tex]{ \boxed{ \bf{ \frac{dy}{dx} = v \frac{du}{dx} + u \frac{dv}{dx} }}}[/tex]
u = ( x + 1 )
v = ( 2x + 5 )²
[tex]{ \tt{ \frac{dy}{dx} = {(2x + 5) {}^{4} .(1) + (x + 1).(2)(2x + 5) {}^{3} } }} \\ = { \tt{ {(2x + 5)}^{3} ((2x + 5) +(2x + 2) }} \\ = { \tt{ \frac{dy}{dx} = {(2x + 5)}^{3}(4x + 7) }}[/tex]
using the graph, determine the coordinates of the roots of the parabola
Answers
Answer:
x = 1, x = 7
Step-by-step explanation:
The roots are the values of x where the graph crosses the x- axis
The graph crosses the x- axis at 1 and 7 , then
the roots are x = 1, x = 7
Answer:
(1,0) and (7,0)
Step-by-step explanation:
Roots are also known as the zeroes, or x-intercepts. This is where the line crosses the x axis, here it crosses where x is 1 and where x is 7.
Can someone please help me solve this problem
Answers
Step-by-step explanation:
Step 1: After adding 875 to both sides of the original equation, you get
[tex]x^2+10x+\text{ ----- }=875[/tex]
Step 2: b is the coefficient of the x term, so b = 10. Divide in half (always half for completing the square!).
[tex]\frac{10}{2}=5[/tex]
Square that result to get 25. That's c, the amount to add to both sides of the equation.
Step 3: Adding c to both sides produces
[tex]x^2+10x+25=875+25[/tex]
Step 4: The result of Step 3 is [tex]x^2+10x+25=900[/tex], and the left side factors as a perfect square.
[tex](x+5)^2=900[/tex]
Step 5: After taking square roots of both sides, you get
[tex]x+5=\pm 30[/tex] which represents "two equations in one."
Separate them.
[tex]x+5=30 \text{ or } x+5 =-30\\x=25 \text{ or } x=-35[/tex]
i Needdd helppp with this??
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Answer:
B I'm thinking, I have to answer any question so I might be wrong here, also eat some salad it's nasty I know
Answer:
option c. ±[tex] \sqrt{65} [/tex]
Step-by-step explanation:
In the given right angled triangle we can see that :-
hypotenuse is 9 adjacent is 4 opposite is xby Pythagoras theorem
hypotenuse² = adjacent ² + opposite ²
9² = 4² + x²
81 = 16 + x²
combining like terms
81 - 16 = x²
65 = x²
x = ±[tex] \sqrt{65} [/tex]
matematicas
[tex]6. \binom{ \sqrt{3} }{2} - ( - 2.5 )= [/tex]
Answers
Answer:
3.36602540378
Step-by-step explanation:
The way I read the question, the unknown in the first set of parenthesis is a fraction. If I am wrong, please correct me so my answers are better in the future.
-2b^2-18b^2
Help me. Plz
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Answer:
[tex]{ \tt{ - {2b}^{2} - 18 {b}^{2} }} \\ = - {20 {b}^{2}} [/tex]
A boy on top of a building observe that the angle of depression of a goat in horizontal ground is 47.if the goat is 23m away from the foot of the building,how high is the building,correct to the nearest meter? (ignore the height of the boy)
Answers
Answer:
Step-by-step explanation:
tan 47° = opposite side /adjacent side
=>1.072 = AB/BC
=>1.072 × BC = AB(height of the building)
=>1.072 × 23 = h ( As assumed height of building is h )
h = 24.656
= 25 metres ( nearest metre )
There is a bag with 50 popsicles inside. 5 are red, 15 are orange, 12 are blue, 8 are
yellow and 10 are purple. If you were to
grab one popsicle from the bag, what is
the probability that it is red or not orange?
P(red or not orange)
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Two factory plants are making TV panels. Yesterday, Plant A produced 8000 panels. Four percent of the panels from Plant A and 1% of the panels from Plant B were defective. How many panels did Plant B produce, if the overall percentage of defective panels from the two plants was 2%?
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Answer:
The answer is "16,000"
Step-by-step explanation:
In this question the amounts of panels created by B the x.
[tex]\therefore[/tex]
Calculating the amounts of defective panels from B:
[tex]\to \frac{1}{100} \times x = 0.01x[/tex]
Calculating the amounts of defective panels from A:
[tex]\to \frac{4}{100} \times 8000 = 320[/tex]
Calculating the total defective panels are :
[tex]\to 320+ 0.01x[/tex]
Calculating the total panels manufactured:
[tex]\to 8000 + x[/tex]
when the overall percentage of the defective panels is [tex]2\%[/tex]
[tex]\to \frac{(320 + 0.01x)}{(8000 + x)} = 0.02\\\\\to (320 + 0.01x) = 0.02 (8000 + x)\\\\\to 320 + 0.01x = 160 + 0.02x\\\\\to 320 -160 = -0.01x + 0.02x\\\to 160 = 0.01x\\\\\to x=\frac{160}{0.01}\\\\\to x=16,000\\\\[/tex]
what is the solution to this equation?
3x+x-13+4-6x=12
A. x= -21/2
B. x= 21/2
C. x= 3/2
D. x= -3/2
Answers
Answer:
A.
Step-by-step explanation:
3x + x - 13 + 4 - 6x = 12
we try to combine the elements with the same power of x (including the ones without any x) :
3x + x - 6x
-13 + 4
so, we get
-2x - 9 = 12
-2x = 21
x = -21/2
Answer:
A
Step-by-step explanation:
group the like terms
3x+x-6x-13+4=12
-2x=12+9
divide both sides by -2
-2x/-2=21/-2
x= -21/2
hope it helps
If anyone knows the answer plz tell me, thank you
Answers
Answer:
A
Step-by-step explanation:
plug it in
(-3)^2+(4)^2=9+16=25
Answer:
[tex]\text{A) }x^2+y^2=25[/tex]
Step-by-step explanation:
The equation of a circle with center [tex](h, k)[/tex] and radius [tex]r[/tex] is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex].
We're given:
The circle's center is at the origin (0, 0)The point (-3, 4) is on the circleSince we're given the circle's center, we just need to find the radius. Because the center of the circle is at (0, 0), the radius will be equal to the distance from (-3, 4) and (0, 0).
For points [tex](x_1, x_2)[/tex] and [tex](x_2, y_2)[/tex], the distance between them is given by the formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let:
[tex](x_1, y_1)\implies (0, 0)\\(x_2, y_2)\implies (-3, 4)[/tex]
The distance between these two points must be:
[tex]d=\sqrt{(-3-0)^2+(4-0)^2},\\d=\sqrt{9+16},\\d=\sqrt{25},\\d=5[/tex]
Therefore, the radius of the circle is 5 and the equation of the circle is:
[tex](x-0)^2+(y-0)^2=5^2,\\\boxed{x^2+y^2=25}[/tex]
what is the square root of 25
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the answer would be 5 because 5*5 or 5 squared (5^2) is equal to 25, hope this helps!
5
Step-by-step explanation:
What does square root even mean?
A Square root of a number is a value that when multiplied by itself gives the number
Example: 4^2 = 16 so square root of 16 = 4
I am a 3D object.
I have four triangular faces and four vertices.
What am I?
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Answer:
It is a tetrahedron.
Factorise:
What is the answer for 3x²+ 11xy + 6y²
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Answer:
(3x+2y)(x+3y)
Step-by-step explanation:
First:
(3x²+ 2xy) + (9xy + 6y²)
then:
x(3x+2y) + 3y (3x+2y)
s0:
(3x+2y)(x+3y)
10x^3/5x^2 2/x. 2x 2 x/2
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A 12oz box of cereal costs $3.50. An 18oz box of cereal costs $5.40 Set up eqautions to determine which is the better buy?
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Answer:
12 oz
Step-by-step explanation:
3.50/12 = $.29 5.40/18 =$ .30
Find the surface area of the solid given the net
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h^2 = 19^2 - 17^2/4
=> h = sqrt(4*19^2 - 17^2)/2 = sqrt(1155)/2
Surface area = 4(1/2*h*17) + 17*19 = 17(sqrt(1155) + 19)
On the following composite figure, all angles are right angles. All short edges of the figure have a measure of 1.5 centimeters. All long edges have a measure of 3 centimeters. Find the area of the figure. Explain or show how you got your answer.
Answers
Answer:
27
Step-by-step explanation:
you have to break it down into 5 parts separating the middle part by itself being 3x3=9+ the 4 other parts that is 1.5x3=4.5x4=18 add them together and it's 27
multiply 3/7 by the reciprocal of -3/14
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Multiplying 3/7 by the reciprocal of -3/14,
[tex] \frac{3}{7} \times \frac{14}{ - 3} \\ = \frac{1}{1} \times \frac{2}{ - 1} \\ = \frac{2}{ - 1} \\ = - 2[/tex]
Hope it helps!!
if we put a marble in 10 ml of water how can we find its volume
please answer
i will mark brainliest
Answers
Answer: See below
Step-by-step explanation:
This relates to the usage of water displacement.
Have the 10 ml of water ready in a measuring flask (or any container that has a scale)Put the marble into the waterObserve how much did the water riseSubtract the current water level by the original 10 mlThe final answer would be the volume.------------------------------------------------------------------------
EXTRA (Only for advanced purposes, if you do not understand, it is totally fine)
Refer to the attachment below to finish the question.
Assuming the water levels are integer,
The original water level is 13.33 mlAfter the rock is put in, the water level is raised to 30 mlThen, we do the fourth step which is subtraction
30 - 13.33 = 16.66 mlHope this helps!! :)
Please let me know if you have any quesitons
NEED HELP ASAP I HAVE 3 MINS
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Answer:
Step-by-step explanation:
System of a equation has no solution when both the lines are parallel.
In other words, if the equations of a system have equal slopes there will be no solution.
1). x + 4y = 23
4y = -x + 23
[tex]y=-\frac{1}{4}x+23[/tex] ------(1)
-3x = 12y + 1
12y = 3x - 1
[tex]y=\frac{1}{4}x-\frac{1}{12}[/tex] -------(2)
Since, both the equations have different slopes, system will have at least one solution.
2). 2x + 4y = 22 -----(1)
-x = 2y - 11
-x - 2y = -11
x + 2y = 11
2x + 4y = 22 ------(2)
Since, both the equations are same, there will be infinite number of solutions.
3). 2x + y = 15 ------(1)
x = 15 - 2y
x + 2y = 15 -----(2)
Both the equations are different, therefore system of equations will have at least one solution.
4). 2x + y = 17 ------(1)
-4x = 2y - 34
-4x - 2y = -34
2x + y = 17 -----(2)
Both the equations are different, therefore, system of equations will have infinite solutions.
5). 3y = 10 - x
x + 3y = 10
2x + 6y = 20 -------(1)
2x + 6y = 7 ---------(2)
Since, both the lines are parallel (Same slopes), system will have no solution.
6). y = 13 - 2x ------(1)
4x - y = -1
-y = -4x - 1
y = 1 + 4x --------(2)
Since, both the equations are different, system of equations will have at least one solution.
