Answer:
Length ≈ 31cm
Width ≈ 10cm
Step-by-step explanation:
[tex]Let -the-length-be : x\\Let-the-width-be :y\\\\According- to- the- question ; \\x = 3(y)\\x=3y ---------(1)\\2(l+w)=82\\2(x+y)=82\\2x+2y =82 --------(2)\\Substitute- the - given- value- for ; x -in - equation---(1) into -equation (2)\\2(3y)+2y =82\\6y+2y=82\\8y =82\\\frac{8y}{8} =\frac{82}{8} \\y = 10.25\\\\Substitute 10.25 -for ;y -in -eq 1\\x=3y ---------(1)\\x = 3(10.25)\\x = 30.75[/tex]
CHECK
[tex]Length =31\\Width = 10\\P = ?\\P= 2(l+w)\\P = 2(31+10)\\P = 2(41)\\P= 82cm[/tex]
All of the following expressions simplify to 3, except _____.
-6 + 9
1 - (-2)
-9 ÷ (-3)
-5 - 2
Answer:
-5 - 2
Step-by-step explanation:
Solve each of the following
A is -6 + 9 which equals 3
B is 1 - (-2) which simplifies into 1 + 2 which equals 3
C is -9 / -3. the negatives cancel leaving 9/3 which is 3
D is -5 - 2 which simplifies into -5 + -2 which equals -7
In a local ice sculpture contest, one group sculpted a block into a rectangular-based pyramid. The dimensions
of the base were 3 m by 5 m, and the pyramid was 3.6 m high. Calculate the amount of ice needed for this
sculpture
Answer:
Step-by-step explanation:
To calculate the amount of ice needed for this sculpture, we would apply the formula for determining the volume of a rectangular base pyramid which is expressed as
Volume = 1/3 × base area × height
Since the base is rectangular, base area = length × width = 3 × 5 = 15 m
Given that height = 3.6m, therefore, the amount of ice needed for this sculpture is
1/3 × 15 × 3.6 = 18 m³
Answer: To calculate the amount of ice needed for this sculpture, we would apply the formula for determining the volume of a rectangular base pyramid which is expressed as Volume = 1/3 × base area × heightSince the base is rectangular, base area = length × width = 3 × 5 = 15 mGiven that height = 3.6m, therefore, the amount of ice needed for this sculpture is 1/3 × 15 × 3.6 = 18 m³
Step-by-step explanation:
slove all of it please 100 points
Answer:
Step-by-step explanation:
5x+y-7=0 isolate y
y=-5x+7 (m=-5,b=7)
9x+7y-14=0
7y=14-9x ( divide both sides by 7)
y=-9x/7 +14/7
y=-9/7 + 2 (m=-9/7, b=2)
x+y=1000
4x+3y=3600 ( multiply the first equation by 3 to eliminate y)
3x+3y=3000
4x+3y=3600 ( subtract the two equations)
3x+3y-(4x+3y)=3000-3600
3x+3y-4x-3y=-600
-x=-600
x=600 ( substitute x in the equation)
x+y=1000
600+y=1000
y=1000-600=400
check : x+y=1000 , (600+400)=1000
check : 4x+3y=3600 = (4(600)+3(400))=2400+1200=3600
how many tickets are sold :
adults x=600/4=150
kids (y)=400/3=133 tickets+1 dollars left
unless( x represent kids then x=200, y represent adult = 100)
Answer:
[tex]\boxed{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
Question 1:
[tex]5x+y-7=0[/tex]
Write in slope intercept form.
[tex]y=-5x+7 \\m=-5,b=7\\9x+7y-14=0[/tex]
Write in slope intercept form.
[tex]7y=14-9x\\y=-9x/7 +14/7\\y=-9/7 + 2\\m=-9/7, b=2[/tex]
Question 2:
[tex]x+y=1000\\4x+3y=3600[/tex]
[tex]3x+3y=3000\\4x+3y=3600\\3x+3y-(4x+3y) = 3000-3600\\3x+3y-4x-3y=-600\\-x=-600\\x=600[/tex]
[tex]x+y=1000\\600+y=1000\\y=1000-600=400[/tex]
Tickets sold:
Adults:
[tex]x=600[/tex]
Kids:
[tex]y=400[/tex]
1.Find the other endpoint of the line segment with the given endpoint and midpoint.
Endpoint 1: (−9,8) Midpoint: (2,−1)
2.Find the other endpoint of the line segment with the given endpoint and midpoint.
Endpoint 1: (0,2) Midpoint: (4,5)
Answer:
1. Coordinates of the other endpoint are (13, -10)
2. Coordinates of the other endpoint are: (8, 8)
Step-by-step explanation:
1. The endpoint (-9, 8) is located in the second quadrant. The midpoint (2, -1) is located in the fourth quadrant. That is to the right and down from the endpoint. Notice that the difference in the horizontal axis between the x-coordinates of the endpoint (-9, 8) and the midpoint (2, -1) is: | 2 - (-9) | = 11
And the difference in the vertical axis is: | -1 - 8 | = 9
So the midpoint is located 11 units to the right,and 9 units down from the endpoint. Then the other endpoint should be located also 11 units to the right, and 9 units down but from the midpoint. That is at: (2 + 11, -1 - 9) = (13, -10)
2. In this case, both, endpoint and midpoint are in the first quadrant, but notice that the midpoint is further away from the origin of coordinates.
The differences now are:
horizontal: 4 - 0 = 4
vertical: 5 - 2 = 3
and in both cases units are added to the endpoint coordinates to get to the midpoint coordinate values.
So to find the other endpoint we add 4 units to the x-value of the midpoint, and add 3 units to its y-value:
Other endpoint at : ( 4 + 4, 5 + 3) = (8, 8)
How many 6-digit numbers can be created using 8,0,1,3,7, and 5 if each number is used only once?
There’s 6 numbers that can be used.
The first digit can be any of the 6
The 2nd digit can be any of the 5 left
The 3rd digit can be any of the 4 left
The 4th did fit can be any of the 3 left
The 5th digit can be any of the 3 left
The 6th digit would be the last number left.
Total combinations = 6 x 5 x 4 x 3 x 2 x 1 = 720
A grasshopper makes jumps that are either 17 or 19 cm in length, in either direction (forwards or backwards). Is it possible for the grasshopper to cover a distance of 101 cm in 100 jumps?
Answer: No. The grasshopper cannot cover exactly 101 cm in exactly 100 jumps.
Step-by-step explanation:
If the grasshopper makes 50 forward jumps of 19 cm and 50 backward jumps of 17 cm (in any order) the jumps total 950-850 for a net result of 100.
Changing to any other amount just gets farther away from the goal.
A system of equations yields no solution of integers.
x + y ==100
19x - 17y =101
You can try it, but the result has a decimal. This grasshopper cannot make partial jumps!
Find the difference.
(3x4 - 5x2 - 4)-( 2x3 x2 + 1)
w
3x4 - 2x3 - 4x2-5
a
Answer:
(3x4 - 5x2 - 4)-( 2x3 x2 + 1) is equals to -15
3x4 - 2x3 - 4x2-5 is equals to -7
Step-by-step explanation:
1.) (3x4 - 5x2 - 4)-( 2x3 x2 + 1)
3 x 4 = 12 5 x 2 = 10 12 - 10 = 2 2 - 4 = -2
2 x 3 = 6 6 x 2 = 12 12 + 1 = 13
-2 - 13 = -15
2.)3x4 - 2x3 - 4x2-5 is eaquals to -7
3 x 4 = 12 2 x 3 = 6 12 - 6 = 6 4 x 2 = 8
6 - 8 = -2 -2 - -5 = -7
Those were my answers
PLEASE HELP ASAP THANKSSSS
Answer:
The correct answer is C
Step-by-step explanation:
As you can see Town A is on top of Town B this means that Town B has symetric points to town A. This also shows how Town A is Positively skewed.
Choose the slope and y-intercept that
correspond with the graph.
Answer:
slope = 2 and y- intercept = - 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (2, 2)
m = [tex]\frac{2+2}{2=0}[/tex] = [tex]\frac{4}{2}[/tex] = 2
The y- intercept is the value of the y- coordinate at the point where the line crosses the y- axis, that is
y- intercept = - 2
A man has a 10m X 10m square garden. In the center is a 2m X 2m square patch which he cannot use. He divides his usable space into four congruent rectangular patches, each of which measures
Answer:
4m X 6m
Step-by-step explanation:
This is because if there is a 2m square in the middle, there is 8 m of usable space left along both sides of the garden.
Because the 2m square was in the middle, there is 8/2 = 4m along each width of the 4 small rectangles.
Becuase 4m is the width, there is 10 - 4 = 6m along each rectangle's length.
The 4m is the width, there is 10 - 4 = 6m along each rectangle's length. the area he will use is 4m x 6m.
What is reflexive property of congruence?The reflexive property of congruence says that the considered geometric quantity, whether it be angle, line segment, or shape etc, is congruent to itself.
Given information; A man has a 10m X 10m square garden. In the center is a 2m X 2m square patch we need to find which he cannot use.
He divides his usable space into four congruent rectangular patches.
If there is a 2m square in the middle, there is 8 m of usable space left along both sides of the garden.
The 2m square was in the middle, there is 8/2 = 4m along each width of the 4 small rectangles.
The 4m is the width, there is 10 - 4 = 6m along each rectangle's length.
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Pleas answer in two minutes now
Answer:
I believe the answer is C.
find the sum of the series 81-27+9......-1/27.
Answer:
[tex]S_8=\dfrac{1640}{27}=60\frac{20}{27}[/tex]
Step-by-step explanation:
The formula for the sum of a geometric series with first term a1, common ratio r, and n terms is ...
[tex]S_n=a_1\dfrac{1-r^n}{1-r}[/tex]
This series has 8 terms, a common ratio of -1/3, and a first term of 81. Its sum is ...
[tex]S_8=81\dfrac{1-(-\frac{1}{3})^8}{1-(-\frac{1}{3})}=81\dfrac{6560/6561}{4/3}=\dfrac{6560(3^4)(3)}{(4)(3^8)}\\\\\boxed{S_8=\dfrac{1640}{27}=60\frac{20}{27}}[/tex]
Help me out please if anybody can
Answer:
The correct choices are;
g(0) = 0
g(1) = 1
and ;
g(-1) = 1
Step-by-step explanation:
In this question, we are to select the correct options.
So let’s take a look at the options
The term g(0) is correct
We can see that the base of the graph is sitting on the origin. At the point where x = 0, then g(x) is also = 0
g(1) is not equal to -1.
g(1) is equal to 1, mark the point 1 on the positive x-axis and trace towards the graph.
g(4) = -2 is another wrong option
The graph has no values on the negative y-axis i.e its smallest value is 0
g(1) = 1 is correct
We can trace this out from the graph
g(-1) = 1 is also correct. This is also traceable from the graph also
I'll always give away 5 stars, thanks and Brainliest to the answer that's correct!
Naruto has a baseball card that is worth $45. The value of the card is increasing at the rate of 1.5% per year. How much will the card be worth in 15 years?
A: $366.17
B: $56.26
C: $89.21
D: $263.97
Answer:
a I believe sorry if I'm wrong
Answer:
I think its B: $56.26
Find the value of x.
Answer:
x=6.09cm
Step-by-step explanation:
Working out AB:
7.5²+4.9²
= √80.26
AB= 8.96cm
To work out x:
AB is the opposite, where BC is the adjacent. This means that we have to use TOA.
x=8.96/Tan(55.8)
x= 6.09cm
Answer:
6.1 cm
Step-by-step explanation:
Use the Pythagorean theorem for triangle ABD to find the hypotenuse.
7.5^2+4.9^2=c^2. After solving you get that the missing length is about 9 cm. The hypotenuse of ABD is also a leg for ABC so you can use a trigonometric function, tangent, to find x. Set up the equation for opposite and adjacent sides to angle measure 55.8. The equation is tan(55.8)=9/x. In order to isolate the variable you multiply both sides by x to get (x)tan(55.8)=9, then divide both sides by tan(55.8), this leaves you with x=9/tan(55.8). You can then plug this into the calculator to get x is approximately 6.1 cm.
Solve the inequality
Answer:
x < 4
Step-by-step explanation:
3x - 3 < 9
3x < 12
x < 4
Answer: x < 4
Step-by-step explanation:
3x < 9 + 3
you’re going to add the two (9+3= 12) numbers.
3x < 12
Then divide both sides of the inequality by 3.
3x < 12 = x < 4.
If P = (5,4), find the image
of P under the following rotation.
270° counterclockwise about the origin
([?], [])
Answer:
Number that fits in the green box is 4.
Step-by-step explanation:
Coordinates of a point P are (5, 4)
Rule for the rotation of a point (x, y) 270° counterclockwise about the origin is,
(x, y) → (y, -x)
By this rule, image of the point P(5, 4) will be,
P(5, 4) → P'(4, -5)
Therefore, number that fits in the green box will be 4.
Answer: (-4,5)
Step-by-step explanation:
i got it right ; )
(38x+61y)-(3x-11y) simplify this expression
━━━━━━━☆☆━━━━━━━
▹ Answer
35x + 72y
▹ Step-by-Step Explanation
(38x + 61y) - (3x - 11y)
38x + 61y - (3x - 11y)
38x + 61 y - 3x + 11y
35x + 61y + 11y
35x + 72y
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
In an orchard the ratio of apple trees to pear trees is 2 : 5, and the ratio of pear trees to peach trees is 3 : 4. Work out the ratio of apple trees to pear trees to peach trees.
Answer:
5/8
Step-by-step explanation:
apple trees to pear trees=5/2 to peach trees=(5/2)/4=5/8
I NEED HELP ASAP PLEASE!!
Answer: b) The mixture has the intended number of pounds and costs more than the intended amount.
Step-by-step explanation: At the point D, there is an equal amount of milk and dark chocolate—they each have 25 pounds. This correlates with the equation of line b: x+y=50. 25+25=50
Since the variable y is the amount of Milk Choclate and the variable x is the amount of Dark Chocloate, the equation of line a: 4x + 2y = 130 can be used. So then you plug in the amount of milk chocolate as “x” and amount of dark chocolate “y“. 4(25) + 2(25) =150.
150 is not equal to 130, so even though it has the intended number of pounds, it costs $150 instead of $130, so it costs more than the intended amount
So be is the answer
Hope this helps:)
which term of the AP:3,15,27, 39,.....will be 132 more than its 54th term
Answer:
n=65th term
Step-by-step explanation:
AP:3,15,27,39......
From the AP
a=3
a+d=15
a+2d=27
3+d=15 (1)
3+2d=27 (2)
Subtract (1) from (2)
We have,
2d-d=27-15
d=12
54th term=a+(n-1)d
=3+(54-1)12
=3+(53)12
=3+636
=639
The term is 132 more than the 54th term
132+54th term
=132+639
=771
Find the term
771=a+(n-1)d
771=3+(n-1)12
771-3=12n-12
768=12n-12
768+12=12n
780=12n
n=780/12
=65
n=12
The term which is 132 more than the 54th term is the 65th term
PLZ HELP!!!!WILL MARK BRAINLIEST AND 20 POINTS!!!
Answer: Find a common denominator on the right side of the equation
Step-by-step explanation:
You can see that they found the common denominator of 4 therefore that is the correct answer
what number decreased by 6 equals 3 times the number
Answer:
-3
Step-by-step explanation:
x-6=3x
2x=-6
x=-3
The required number is -3 decreased by 6 equals 3 times.
A number to be determine when decreased by 6 equals 3 times the number.
What is arithmetic?it explores the numbers of operations according to the statements.
Let the number be x,
Now,
x-6=3x
x= -3
Thus, the required number is -3 decreased by 6 equals 3 times.
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HELP ASAP PLEASE What is the measure of yz (the minor arc) in the diagram below? A.168 B.42 C.192 D.84
Answer:
B
Step-by-step explanation:
The measure of the tangent- chord angle XYZ is half the measure of its intercepted arc, thus
arc YZ = 2 × 84° = 168° → B
An x-method chart shows the product a c at the top of x and b at the bottom of x. Below the chart is the expression a x squared + b x + c Consider the trinomial x2 + 10x + 16. Which pair of numbers has a product of ac and a sum of b? What is the factored form of the trinomial?
Answer:
The pair of numbers that has a product of ac and a sum of b = (+2, +8)
The factored form of the trinomial = (x+2) (x+8)
Step-by-step explanation:
ax² + bx + c = 0
This is in the form of a trinomial algebraic expression
Given trinomial: = ax² + 10x + 16
Where a = 1, b= 10, c= 16
To find the pair of numbers that has a product of ac and a sum of b, we would solve the equation.
Using factorisation method:
ac = a×c = 1×16 = 16
Let's find the factors of 16 whose sum gives +10 and product gives +16
Factors of 16 = 1, 2, 8, 16
+2 + +8 = +10
+2 × +8 = +16
The factors are +2 and +8
The pair of numbers that has a product of ac and a sum of b = (+2, +8)
x² + 10x + 16 = x + 2x + 8x + 16
x² + 10x + 16 = x(x+2) + 8(x+2)
= (x+2) (x+8)
The factored form of the trinomial = (x+2) (x+8)
Answer:
(x+2) (x+8)
Step-by-step explanation:
Simplify √5x/x √ 20 answer choices
a.1/2
b.√x/2x
c.√x/2
Answer:
a
Step-by-step explanation:
Can you solve (x-5)^2=3
Answer:
x = 6.73 (corrected to 3 significant figures.)
Step-by-step explanation:
(x-5)^2=3
Square root both sides of the equation.
[tex]\sqrt{(x-5)^2} =\sqrt{3}[/tex]
[tex](x-5) = \sqrt{3}[/tex]
Add 5 to both sides.
[tex]x = \sqrt{3} + 5[/tex]
x = 6.73 (corrected to 3 significant figures.)
Answer:
x=-22 or -13
Step-by-step explanation:
(x-5)^2=3
Or,x^2-10x+25=3
Or,x^2-10x=3-25
Or,x (x-10)=-22
Either
x=-22
Or,
x-10=-22
x=-22+10
x=-12
x=-22,-12
ONE MORE well maybe 3 more LOLLL ok can u answer this dont look it up pls!!!!!!!!!! :/ thank you sm
Answer:
Hey there!
Your answer would be 1/3 (12) hours.
Since it can fill 1/12 of the tank in 1/3 hour, then in 12 1/3 hr's, the tank would be filled.
Hope this helps :)
Answer:
1/3 * 12
4 hours
Step-by-step explanation:
We can use ratios to solve
1/12 tank 1 tank
---------------- = ----------------
1/3 hour x hours
Using cross products
1/12 x = 1/3 *1
Multiply each side by 12
12 * 1/12 x = 1/3 * 12
x = 4
4 hours
Write 23 /2 as a mixed number. Give your answer in its simplest form.
Answer:
11 1/2
Step-by-step explanation:
Convert improper fraction to mixed number
23 over 2
= 11 and 1/2
23 ÷ 2 = 11 remainder 1
Answer:
11whole,1 and a half
Step-by-step explanation:
divide 23 by 2
A family of two adults and three children went to a water park. Admission to the water park costs $18 per person. Nora used the expression 2 (18) + 3 (18) to model the total cost for the family, and Alex used the expression 5 (18). Which property of operations makes both of their expressions correct? associative property commutative property distributive property identity property
Answer: distributive property
Step-by-step explanation:
[tex]5(18)=2(18)+3(18)[/tex]
[tex]18(2+3) = 2* 18+ 3*18[/tex]
[tex]18*5 = 2* 18+ 3*18[/tex]
Answer: Distributive Property
Step-by-step explanation: