Hi there!
Assuming a perfect square: we know there are 4 sides in a square, and all of them have equal length. This means that every side of the square is 6 cm, and with 4 sides, that would make an overall length / perimeter of 6 + 6 + 6 + 6, or 6*4, which would equal 24 cm. This means that our wire must be 24 cm long.
Now, for the rectangle. We know with rectangles that they also have 4 sides, and in pairs of 2 in terms of length (2 of the sides have the same length, and the other two have the same length). This means we know there are 2 sides that are 9 cm, which would mean 18 cm in total. This is the total amount of wire taken up by the length, but we are looking for the width. Thus, we can see how much wire is leftover not taken up by the length by subtracting 18 from 24:
24-18=6
Now, we see that the two sides that make up the width are 6 cm long. As those two sides are equal length, we can divide 6 cm into two equal parts to see the width.
6/2 = 3 cm.
Thus, the width of the rectangle is 3 cm.
Hope this helps!
The wire, when bent into a square, has a total length of 24cm. When reshaped into a rectangle with a length of 9cm, the width must be 3cm to maintain the same total length.
Explanation:The subject of this problem is geometry and algebra. We know that a wire is bent into the shape of a square with each side being 6cm. The total length of the wire is the perimeter of the square, which can be calculated as 4 * side length, so the total length of the wire is 4*6 = 24cm.
Then the wire is reshaped into a rectangle where the length is given as 9cm. Since the total length of the wire has not changed, the perimeter of the rectangle is also 24cm. The perimeter of a rectangle can be calculated as 2*(length + width). If we set this equal to 24, we get 2 * (9 + width) = 24. Solving for width, we find that the width is 3cm.
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Four CDs and 4 DVDs cost $164. The cost of the 4 CDs is half the cost of the
4 DVDs. What is the cost of each CD?
Answer:
$13.67
Step-by-step explanation:
Let's say that CD= c and DVDs= d. Four CDs and 4 DVDs cost $164, so the equation will be:
i. 4c + 4d= 164
The cost of the 4 CDs is half the cost of the 4 DVDs, to put into an equation it will be:
ii. 4c= 0.5(4d)
4c= 2d
d= 2c
Then we can substitute the second equation (ii) into the first equation (i). The calculation will be:
4c + 4d= 164
4c + 4(2c)= 164
4c+ 8c= 164
12c= 164
c=13.67
The cost for each CD is $13.67
if f(x)=2(x)^2+5sqrt(x+2) complete the following statement f(2)=
Solution:
Given that,
[tex]f(x) = 2x^2 + 5\sqrt{x + 2}[/tex]
We have to find f(2)
To find f(2), plug in x = 2 in given f(x) and solve to get the answer
Plug in x = 2 in f(x)
[tex]f(2) = 2(2)^2 + 5 \sqrt{2+2}\\\\f(2) = 2 \times 4 + 5\sqrt{4}\\\\Simplify\\\\f(2) = 8 + 5 \times 2\\\\f(2) = 8 + 10\\\\f(2) = 18[/tex]
Thus the value of f(2) is 18
Jordan drove a3 miles per hour for a5 hours. Howfar did Jordan drive? A a2 miles B a8 miles C a12 miles D a15 miles
Answer: Option D) 15 miles
Step-by-step explanation:
if Jordan drives 3 miles in one hour
Then, 3 miles = 1 hour
while Z miles = 5 hours
cross multiply
3 miles x 5 hours = Z miles x 1 hour
15 = Z
Thus, jordan drove through a distance of 15miles
Help!
Which answer is correct?
Well, since the graph starts at (0,50), making our y-intercept 50, we can knock off D as an option.
The next step is to find the slope. To do this, find two points and subtract the y values over the x values. (Just make sure that whichever y value you start with - start with the same x value).
So we have >>> (50, 200) and (0,50) from earlier.
200 - 50 / 50 - 0 = 150/50 or 3/1, or 3.
This makes the correct answer A since the equation is represented as y = mx + b, where m is the slope and m has a value of 3.
5. Higher Order Thinking Maria has two
$20 bills, three $5 bills, and four $1 bills.
What other bill or bills does she need to
buy a present that costs $69?
Answer:
one $10 bill
Step-by-step explanation:
First you have to add them all together then subtract the sum by $69. That's how you get the answer.
What’s the remainder of 84 divided by 25
Answer:
remainder is 9
Step-by-step explanation:
remainder of 84 divided by 25multiples of 25 are:
25 , 50 , 75
84-75 = 9
remainder is 9
Answer:
The remainder is 9
Step-by-step explanation:
Step 1: Find the remainder
84/25
25 goes into 84 3 times.
84 - 3(25)
84 - 75
9
Answer: The remainder is 9
144 oz= lb huhuhuhu
Answer:9
Step-by-step explanation:
Answer:
9 lb
Step-by-step explanation:
pretty sure if not then sorry
Line v has a slope of -5/2
Line w is parallel to line v. What is the slope of line w?
Simplify your answer and write it as a proper fraction, improper fraction, or integer,
Answer:
-5/2
Step-by-step explanation:
Since they are both parallel they have the same rate of change. this means they have the same slope
Final answer:
Since line w is parallel to line v, which has a slope of -5/2, the slope of line w is also -5/2.
Explanation:
When two lines are parallel, they have the same slope. In this case, the slope of line w will be the same as the slope of line v.
Therefore, the slope of line w is -5/2.
The question asks about the slope of two parallel lines. By definition, parallel lines have the same slope. Given that line v has a slope of -5/2, and line w is parallel to line v, the slope of line w must also be -5/2. Therefore, line w, being parallel to line v, has a slope of -5/2.
Felicia is solving the expression -5(3x+2)+10x. Gregory is solving the expression -12-4x+?+?x. Both students simplified their answers to get the same expression. What are the values missing from Gregory's expression?
Answer:
see the explanation
Step-by-step explanation:
we have
Felicia
[tex]-5(3x+2)+10x[/tex]
Apply distributive property
[tex]-5(3x)-5(2)+10x[/tex]
[tex]-15x-10+10x[/tex]
Combine like terms
[tex]-5x-10[/tex]
Let
a ----> the missing term with coefficient x in Gregory's expression
b ----> the missing constant term in Gregory's expression
so
[tex]-12-4x+ax+b[/tex]
equate Gregory's expression to Felicia's expression
[tex]-12-4x+ax+b=-5x-10[/tex]
so
[tex]-12+b=-10[/tex] ----->[tex]b=2[/tex]
[tex]-4x+ax=-5x[/tex] ------> [tex]a=-1[/tex]
so
Gregory's expression is
[tex]-12-4x+2-x[/tex]
therefore
The missing terms are 2 and -x
What is the least common denominator of the equation StartFraction 2 Over 9 EndFraction x + two-thirds x = 7?
3
Answer:
9 is the least common denominator for the given equationStep-by-step explanation:
Given equation is StartFraction 2 Over 9 EndFraction x + two-thirds x = 7.
It can be written as [tex]\frac{2}{9}x+\frac{2}{3}x=7[/tex]
To find the least common denominator for the given equation :That is to find the Least common Multiple of the denominators.
[tex]\frac{2}{9}x+\frac{2}{3}x=7[/tex]
[tex]\frac{2x+2x(3)}{9}=7[/tex] ( here LCM of 9 and 3 is 9 so we take 9 as LCM )
Therefore 9 is the least common denominator for the given equationAnswer: the answer is 9
Step-by-step explanation: I took the test and its right
3x+2y=8 is this function a quadratic?
Step-by-step explanation:
Let's select values for X, and find the corresponding Y values:
X = -3, Y = 8.5
X = -2, Y = 7
X = -1, Y = 5.5
X = 0, Y = 4
X = 1, Y = 2.5
X = 2, Y = 1
X = 3, Y = -0.5
So our coordinates are:
(-3, 8.5) ; (-2, 7) ; (-1, 5.5) ; (0, 4) ; (1, 2.5) ; (2, 1) and (3, 0.5)
Graph these on a chart to visualize:
(In picture)
We can see that this is a decreasing linear function, not quadratic. Quadratic functions create a symmetrical curve, which this is not.
Gigi spent 12% of her birthday money on a new pair of sunglasses. What fraction of her birthday money did she spend in the new sunglasses
Answer:
3/25
Step-by-step explanation:
You know that percent is out of 100, so that's 12/100
Then simplify the fraction to 6/50 then 3/25
Final answer:
Gigi spent 12% of her birthday money on sunglasses, which is equivalent to 3/25 of her birthday money when converted and simplified from a percentage to a fraction.
Explanation:
Gigi spent 12% of her birthday money on a new pair of sunglasses. To find out what fraction of her birthday money this represents, we convert the percentage to a fraction. Percent means 'per hundred,' so 12% can be written as 12 per 100 or, more simply, 12/100. However, this fraction can be simplified further. Both the numerator (12) and the denominator (100) can be divided by their greatest common divisor, which is 4. Dividing both by 4, we get 3/25. Therefore, Gigi spent 3/25 of her birthday money on the new sunglasses.
On a field trip there are 18 chaperones supervising 81 children. If the children are broken into groups how many adults are needed for a group of 27 kids
Answer:
6
Step-by-step explanation:
you first divide 81 by 18 and get 4.5, that is the number of children per adult.
next you'll divide 27 by 4.5 and 6.
that's the answer.
Final answer:
With an initially provided ratio of 18 adults for 81 children, the simplified ratio is 1 adult for every 4.5 children. Hence, for a group of 27 kids, 6 adults are needed to maintain the same supervision ratio.
Explanation:
To determine the number of adults needed for a group of 27 kids on a field trip when there are 18 chaperones supervising 81 children, we can calculate the adult-to-child ratio. We start with the given total ratio of 18 adults for 81 children. This simplifies to 1 adult for every 4.5 children, as 81 divided by 18 equals 4.5. Therefore, for a group of 27 children, we divide 27 by 4.5 to find the number of adults needed.
27 kids
/ 4.5 kids/adult = 6 adults
Thus, 6 adults are needed for a group of 27 kids to maintain the same supervision ratio.
(9)/(16) x^(2)+7.5x=-25
Answer:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Exact Form:
x= −20/3
Decimal Form:
x= −6.66...
Mixed Number Form:
x= −6 2/3
Step-by-step explanation:
Which statement is true about the factorization of 30x^2 + 40xy + 51y^2
The factorization of 30x^2 + 40xy + 51y^2 over the integers appears not to be possible due to the coefficients and a discriminant that is unlikely to be a perfect square. Advanced methods may be needed to factorize it if at all possible.
Explanation:The factorization of the expression 30x^2 + 40xy + 51y^2 is a task in algebra, which involves breaking down the given quadratic expression into products of its factors. However, this specific expression does not factorize neatly over the integers. When factoring, one would typically look for two binomials that multiply to the quadratic expression, but in this case, due to the coefficients and the lack of a clear common factor or a pattern that matches a known factoring formula, it is likely that the quadratic expression cannot be factored over the rational numbers without resorting to more advanced techniques or numerical methods. To completely verify this, you would use the quadratic formula to find the roots of the corresponding quadratic equation and see if they are rational numbers. If they are not, then exact factoring over the rationals is impossible.
Remember, for a quadratic expression ax^2+bx+c to be factorizable over the rationals, the discriminant, which is b^2-4ac, must be a perfect square. In the case of 30x^2 + 40xy + 51y^2, calculating the discriminant may help determine the factorizability of the expression. If the discriminant is not a perfect square, the expression cannot be factored into rational factors.
can someone help with any of these please?
1. A line passes through the points (-1, -6) and (-4, 3) what is the equation in slope intercept form?
2. The slope of the line that contains the points (-5, 13) and (5, -7) is -2, which of the following equations represents this line?
2a) y= -2x - 17
2b) y= -2x - 3
2c) y= -2x + 3
2d) y= -2x + 23
3. What is the equation in slope-intercept form, of the line that contains the points (3, -4) and (5, -6)?
3a) y= -x - 1
3b) y= -x + 1
3c) y= x - 1
3d) y= x + 1
1. X1 Y1. X2, Y2
(-1,-6). ( -4,3)
Formula for slope which is m
Y2 -Y1 divide by X2-X1
3- -6/ -4 - -1= 9/-3= -3
So M = -3
Y=mx+b
-6= -3 (-1) +b
-6= 3+b
-3=-3
-9=b
Answer Y= -3x-9
2. X, Y
(-5,13)
Y=mx+b
13= 10+b
-10=-10
3=b
Answer C y= mx+b
y=-2x+3
3. (X1,Y1). (X2,Y2)
(3,-4). (5,-6)
Formula for m which is slope y2-y1 / x2-X1
-6- -4 / 5-3 = -2/2= -1 so m = -1
X, Y
(3,-4)
Y=mx+b
-4= -1(3)+b
-4= -3+b
+3=+3
-1. = b
Y= m x+b
-4= (-1) 3 +b
-4= -3. + b
+3= +3
-1. = b
Answer A y= -1x-1
Answer:
Answer Y= -3x-9 Answer C y= mx+b y=-2x+3 Answer A y= -1x-1
Step-by-step explanation:
What are the first 5 common multiples of 4 and 14?
Answer:
28, 56, 84, 112, and 140
Step-by-step explanation:
4: 28,32,36,40,44,48,52,56,60,64,68,72,76,80,84, ...
14: 28,42,56,70,84,98,112,126,140
(8y3 – y + 7) – (6y3 + 3y - 3)
Answer:
2 • (y3 - 2y + 5)
Step-by-step explanation:
mark me brainliest please
A circle has a radius of 14 feet. What it’s area
Answer:
6.157
Step-by-step explanation:
A=πr^2=π·14^2≈615.75216
Use the quadratic formula to solve x2 - 5x - 2 = 0.
Answer:
x=-0.37 or 5.37
Step-by-step explanation:
The quadratic formula is;
[tex]x = \frac{ - b\pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]
The expression to be solved is
[tex] {x}^{2} - 5x - 2 = 0[/tex]
Comparing this to the general form of the quadratic equation,
[tex] a{x}^{2} + bx + c = 0 [/tex]
a=1, b=-5 and c =-2.
We substitute these values into the quadratic formula
[tex] \implies x = \frac{ - ( - 5)\pm \sqrt{ { (- 5)}^{2} - 4(1)( - 2)} }{2(1)} [/tex]
Simplifying we obtain,
[tex] x = \frac{ 5\pm \sqrt{25 + 8}}{2} [/tex]
[tex] \implies x = \frac{ 5\pm \sqrt{28}}{2} [/tex]
[tex] \implies x = \frac{5 + 2\sqrt{7} }{2}or \frac{5 - 2 \sqrt{7} }{2} [/tex]
[tex]\implies x = \frac{5}{2} + \sqrt{7} or \frac{5 }{2} - \sqrt{7} [/tex]
x=5.37 or -0.37
The solutions to the quadratic equation x² - 5x - 2 = 0 are:
x = (5 + √33) / 2
x = (5 - √33) / 2
To solve the quadratic equation x² - 5x - 2 = 0 using the quadratic formula, we can use the formula:
x = (-b ± √(b² - 4ac)) / (2a)
In this equation, a, b, and c represent the coefficients of the quadratic equation.
For the equation x² - 5x - 2 = 0, we can identify the values of a, b, and c:
a = 1
b = -5
c = -2
Substituting these values into the quadratic formula, we have:
x = (-(-5) ± √((-5)² - 4 × 1 × (-2))) / (2 × 1)
Simplifying:
x = (5 ± √(25 + 8)) / 2
x = (5 ± √33) / 2
Therefore, the solutions to the quadratic equation x² - 5x - 2 = 0 are:
x = (5 + √33) / 2
x = (5 - √33) / 2
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Compare the numbers. Pick the correct sign.
7 ? 5
You can use the number line to help.
Submit
Answer:
7 > 5
Step-by-step explanation:
On a number line, 7 is to the right of 5.
On the number line, a number is greater than a number to its left.
7 is greater than 5
7 > 5
what is the degree of 23x4
Answer:
92
Step-by-step explanation:
Answer:
92
Step-by-step explanation:
23 x 4 = 92
Solve the equation:
x – x² – 12x = 0
Answer: x =0;
Step-by-step explanation:
O raised to power of any number is 0
What is the area of the parallelogram with a base of 1.75 cm and a height of 1.5 cm? 2.75 cm2 3.625 cm2 2.625 cm2 3.25 cm2
Answer:
Step-by-step explanation:
Area of parallelogram=base*height
So 1.75*1.5=2.625cm²
Answer:
2.625
Step-by-step explanation:
A 2/3 foot board is cut to 7/16 of its original length. What is its new length?
Answer:
7/24 feet.
Step-by-step explanation:
That would be 7/16 of 2/3
= 2/3 * 7/16
= 14/48
= 7/24 feet.
The new length of the board after being cut to 7/16 of its original length is 7/24 foot.
Explanation:Yes, the thing you need to understand here is that you've to multiply the length of the board by the fraction given to find the new length. So, in this problem, the original length of the board was 2/3 foot and it was cut to 7/16 of its original length. Hence, to find the new length, you multiply 2/3 foot by 7/16.
This results in 14/48 foot, which when simplified/reduced gives 7/24 foot. Therefore, the new length of the board after it is cut is 7/24 foot.
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The bearing of point Y from point X is 070°.
The bearing of point Z from point Y is 125°.
The bearing of point Z from point X is 110°.
Find the bearing of point X from point Z
Answer:
The answer is 290°
Step-by-step explanation:
Final answer:
To find the bearing of point X from point Z, we can use the given bearings of points X, Y, and Z. Start with the bearing of point Z from point X, add the bearing of point Z from point Y, and subtract the bearing of point Y from point X.
Explanation:
To find the bearing of point X from point Z, we can use the given bearings of points X, Y, and Z. Here's how:
Start with the bearing of point Z from point X, which is 110°.Add the bearing of point Z from point Y, which is 125°.Subtract the bearing of point Y from point X, which is 70°.The result is the bearing of point X from point Z. So, the bearing of point X from point Z is 165°.
PLEASE HELP. IVE RETAKEN THIS 6 TIMES .
In the figure, ∆BAT ≅ ∆CAT. Which statement is true by CPCTC?
b) Find the median queuing time
please help!!!!
Answer:
11 minutes.
Step-by-step explanation:
To find the median queing time from the cumulative frequency curve, we find
[tex] \frac{1}{2} \sum \: f[/tex]
and trace it on the cumulative frequency curve.
From the graph, that total frequency is 100.
Half of this 50.
We trace the 50th item.
First locate 50 on the vertical axis and trace to the horizontal axis.
This corresponds to 11.
Note that each box is 0.5 units on the queing time axis.
Ming throws a stone off a bridge into a river below.
The stone's height (in meters above the water), 3 seconds after Ming threw it, is modeled by:
h(x) = -5(x - 1)2 + 45
How many seconds after being thrown will the stone reach its maximum height?
Please help!
Answer:
In 1 seconds after being thrown will the stone reach its maximum height.
Step-by-step explanation:
Given : Ming throws a stone off a bridge into a river below. The stone's height (in meters above the water), 3 seconds after Ming threw it, is modeled by : [tex]h(x) = -5(x - 1)^2 + 45[/tex].
To find : How many seconds after being thrown will the stone reach its maximum height?
Solution :
The maximum height is attain by getting the vertex of the model.
The vertex form of the quadratic equation or parabola is
[tex]f (x) = a(x - h)^2+ k[/tex]
Where, (h,k) are the vertex.
On comparing with the given model, [tex]h(x) = -5(x - 1)^2 + 45[/tex]
a=-5, h=1 and k=45
The vertex of the equation is (h,k)=(1,45).
Now the maximum height is 45 m and number of second is 1 sec.
Therefore, In 1 seconds after being thrown will the stone reach its maximum height.
Annie is working furiously to knit scarves and beanies for a craft fair next weekend. Yesterday she completed 3 scarves and 2 beanies, using a total of 22 meters of yarn. The day before, she used 10 meters to knit 1 scarf and 2 beanies. Assuming Annie is using the same pattern and type of yarn for each scarf and beanie, how much yarn does each project require?
Annie uses 6 meters of yarn for each scarf and 2 meters for each beanie, based on creating a system of equations from the given data and solving it.
Explanation:The student is asking to solve a system of equations to find out how much yarn is required for each scarf and beanie that Annie is knitting. To determine the amount of yarn needed for each project, we will use the information given for two separate days. On the first day, 3 scarves and 2 beanies used a total of 22 meters of yarn. On the second day, 1 scarf and 2 beanies used a total of 10 meters of yarn. Let's denote the amount of yarn needed for a scarf by 'S' and for a beanie by 'B'.
We can set up the following system of equations:
3S + 2B = 22 (from the first day's work)1S + 2B = 10 (from the second day's work)Subtract the second equation from the first to eliminate 'B' and solve for 'S':
(3S + 2B) - (1S + 2B) = 22 - 102S = 12S = 6 metersNow, we can substitute 'S' back into the second equation to solve for 'B':
1(6) + 2B = 106 + 2B = 102B = 4B = 2 metersTherefore, each scarf requires 6 meters of yarn and each beanie requires 2 meters of yarn.
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