Zcoy, this is the solution:
As we can see the side of the square measures 90 feet, therefore:
The distance from second base to home is a diagonal of the square and the distance is:
90 √2 feet
Kiara and Donovon attend different middle schools. They both went to their schools’ winter carnivals. Kiara paid a $5 entrance fee and bought several tickets costing $0.75 each for games and rides. Donovon paid a $7 entrance fee and bought several tickets costing $0.50 each for games and rides. How many tickets, , must Kiara and Donovan each buy in order for the cost of attending their school carnivals to be the same?
Using linear functions, it is found that they have to buy 8 tickets for the costs to be the same.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For the functions in this problem, we consider that:
The entrance fee is the intercept.The cost for carnivals(games/rides) is the slope.Hence the cost functions for Kiara and Donovon are given, respectively, by:
K(x) = 5 + 0.75x.D(x) = 7 + 0.5x.The costs will be the same when:
K(x) = D(x)
5 + 0.75x = 7 + 0.5x.
0.25x = 2
x = 2/0.25
x = 8.
They have to buy 8 tickets for the costs to be the same.
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There are 15 crayons in a box, 6 of them are blue. What percentage of the crayons are blue in the box?
Helppppppppppppppppp
A lot of points. PLEASE HELP! I will mark brainliest. Whoever gets it right first.
ON A RECENT MATH TEST MARY SCORED 14 OF 16 CORRECT. JOHN SCORED 23 OF 26AND JOE SCORED 9 OF 11 CORRECT. WHO ACHIEVED THE HIGHER SCORE?
Answer:
I think the answer is mary
Answer:
John
Step-by-step explanation:
Mary: 87%-88% (0.875)
John: 88% (0.884)
Joe: 81% (0.818)
Find a value for x that will make each of the following equations true. 2. x+8=21 b. 8-32=55 c. 3x=54 d. x/5=10
Answer:
Step-by-step explanation:
that’s hard
KTR Company earns a $10 profit on each unit of manufactured goods, and it sells 20 million units each year. KTR's income tax rate is20 percent.However,thejurisdiction in which KTR operates just increased the tax rate to 22 percent for next year.KTR's owners are considering two alternatives. They could simply accept the $4 million tax increase as a reduction in their after-tax profit, or they could 0.66 raise the price of each unit by 20 cents, thereby increasing the profit per unit to $10.20. However, the marketing department estimates points that the price increase could reduce annual sales to 19 million units.
The income calculated shows the the best alternative will be alternative 1.
How to illustrate a the information?It should be noted that the after tax profit for alternative 1 will be:
= (20 million × 10) - 50 million
= 150 million
It should be noted that the after tax profit for alternative 2 will be:
= (19 million × 10.50) - 49.875 million
= 149.625 million
Therefore, the income calculated shows the the best alternative will be alternative 1 as it's higher.
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Given that ABCDEF, solve for x.
A. 3
B. 2
OC. 6
D. 4
The value of side length x (DF) in the triangle is 4.
What is the value of x?The figures in the image is that of two similar triangle.
Triangle ABC is similar to triangle DEF.
From the diagram:
Leg 1 of the smaller triangle DE = 5
Leg 2 of the smaller triangle DF = x
Leg 1 of the larger triangle AB = 30
Leg 2 of the larger triangle AC = 24
To find the value of x, we take the ratio of the sides of the two triangle since they similar:
Hence:
Leg DE : Leg DF = Leg AB : Leg AC
Plug in the values:
5 : x = 30 : 24
5/x = 30/24
Cross multiplying, we get:
30x = 5 × 24
30x = 120
x = 120/30
x = 4
Therefore, the value of x is 4.
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An element with a mass of 230 grams decays by 14.5% per minute. To the nearest
tenth of a minute, how long will it be until there are 60 grams of the element
remaining?
An element with a mass of 230 grams decays by 14.5% per minute. To the nearest
tenth of a minute, long will it be until there are 60 grams of the element
remaining x=8.6
x=8.6
Based on the given conditions, formulate : \($230 \cdot(1-14.5 \%)^2=60$\)
Calculate the sum or difference: \($230 \times 0.855^x=60$\)
Divide both sides of the equation by the coefficient of variable: \($0.855^x=\frac{60}{230}$\)
Reduce the fraction: \($0.855^x=\frac{6}{23}$\)
Convert exponential to logarithm form: \($x=\log _{0.855} \frac{6}{23}$\)
Calculate\(: $x=\log _{\frac{171}{200}} \frac{6}{23}$\)
Round \($x=\log _{\frac{171}{200}} \frac{6}{23}$\)g: \($x=8.6$\)
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math math math math math math math
The angle m∠JIX is 90 degrees.
How to find angles in line intersection?IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.
IG bisect CIJ. Hence,
m∠CIG ≅ m∠GIJ
Therefore,
m∠CIX = 150 degrees
Hence, let's find m∠JIX.
Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.
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The measure of angle m∠JIX is estimated to be 90⁰.
How to find the angles?You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.
IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.
Frim the given parameters,
IG⊥CIJ.
But; m∠CIG ≅ m∠GIJ
⇒ m∠CIX = 150⁰
Hence, let's find m∠JIX.
Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.
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Find GH. What does GH equal?
Answer: GH = HJ = 4.6
Step-by-step explanation:
you want to install molding around the circular room. How much it would cost you to install the molding that you picked if it cost $4.22 per foot?
The cost of the molding is given as follows:
$119.30.
What is the measure of the circumference of a circle?The circumference of a circle of radius r is given by the equation presented as follows:
C = 2πr.
The parameters for this problem are given as follows:
d = 9 -> r = 4.5.
(as the radius is half the diameter)
Hence the circumference is given as follows:
C = 2 x π x 4.5
C = 28.27 ft.
The cost is of $4.22 per ft, hence the total cost is given as follows:
4.22 x 28.27 = $119.30.
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Check all apply 3x+4=10
Answer:
Solution is x=2. sorry if this is not what you are looking for!
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
3x= 10-4
3x= 6
x = 6/3
x=2
For a géometric sequence, if a1=9 and a5
=2304, what is the value of r?
The value of common ration r is 4.
Given that,
a₁ = 9
a₅ = 2304
We know that,
A geometric sequence is a sequence in which each term (except from the first term) is multiplied by a fixed amount to obtain the following term.
The following term in the geometric sequence must be obtained by multiplying it by a set term (referred to as the common ratio), and the previous term in the sequence can be obtained by dividing it by the same common ratio.
Since we know that nth term of GP is,
\(a_{n}\) = a₁ \(r^{n-1}\)
Therefore,
a₅ = a₁ \(r^{4}\) = 2304
⇒ 9 x \(r^{4}\) = 2304
⇒ \(r^{4}\) = 256
⇒ r = 4
Hence, r = 4
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Please help me to do this i really need it.
First correct Answer gets Brainliest.
Answer:
Step-by-step explanation:
-3≤ x = graph 6
-3 > x = graph 3
x≥ 3 = graph 2
x ≤ 3 = graph 4
3 > x = graph 1
x > 3 = graph 5
the closed circles means greater/less than or equal to
the open circle means greater/less than
the direction of the arrow tells you if the number is greater than x or less than x
Which model represents the equation 4w+3=3w+6
Answer:
w=3 (please give me brianliestt!!)
Step-by-step explanation:
4w+3=3w+6 (subtract 3 from both sides)
-3 -3
4w=3w+3 (subtract 3w on both sides)
-3w -3w
1w=3 (divide by 1)
w=3
I'll give you 25 points! I just need help!
Find the surface area of the composite figure.
2 cm
5 cm
4 cm
4 cm
3 cm
3 cm
5 cm
5 cm
If you'd like,
SA = [ ? ] cm2
you can use a
calculator.
Answer:
add sum of all the angle given
Find the area of the blue-shaded region. Please help I need it asap. The answer is 20.0m squared I cannot figure out the work for it
The area of the blue-shaded region is 19.95 m²
What is area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
Given that, a rectangle with length 14 m, and diagonal 15.5 m, a parallelogram has been cut out of it, we need to find the area remaining,
Using the Pythagoras theorem,
15.5² = 14²+w² [width]
w² = 240.25-196
w² = 44.25
w = 6.65
Therefore, the width of the rectangle is 6.65 m
That mean, the height of the parallelogram is 6.65 m,
The area of the blue-shaded region, is calculated by subtracting the area of the parallelogram by the area of the rectangle,
Area of the remaining region = 14×6.65-11×6.65
= 6.65(14-11) = 6.65×3
= 19.95 m²
Hence, the area of the blue-shaded region is 19.95 m²
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Which of the following numbers is a factor of 55?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
6
(Choice B)
B
3
(Choice C)
C
5
(Choice D)
D
7
Answer:
Choice C: 5
Step-by-step explanation:
55 is a composite number. 55 = 1 x 55 or 5 x 11. Factors of 55: 1, 5, 11, 55. Prime factorization: 55 = 5 x 11 it should be 5 if 11 isn't an option to
A penguin walks 10 feet in 6 seconds. At this speed how far does he walk in 45 seconds?
Explain or show your reasoning.
Answer:
75 feet
Step-by-step explanation:
45/6 equals 7.5
7.5*10=75
Use the relashonships between the angles to find the value of x
Answer: and I oop skssss
Step-by-step explanation:
Solve the equation using the steps:
2(x + 8)= 2x + 8
After solving the Algebraic Expression 2(x + 8)= 2x + 8, we will get x∈∅. Variable x is dissolved in itself, making it impossible to find its value.
How to solve the given equation: 2(x + 8)= 2x + 8?Before moving to solve the equation , let's learn how to solve any algebraic expression:
Step 1: Determine whether the Distributive is necessary.
Property. If so, spread the word!
Step #2: Group similar terms together on either side of the equals symbol.
(meaning: combine all of the similar factors AND
Add up each and every integer (number).
Step #3: Align the variables so that they are all to one side of the equals symbol.
utilizing the inverse process. REMEMBER: No matter what you do
You MUST do to the other side of the equals sign what you did to the one side.
equals (symbol).
Fourth Step: When all of your variables are situated on the same side of the
You must transfer each number to the opposite sign of the equals by applying the inverse procedure on the equals sign. REMEMBER:
fourth Step: When all of your variables are situated on the same side of the
You must transfer each number to the opposite sign of the equals by applying the inverse procedure on the equals sign. REMEMBER:
You MUST do anything you do to one side of the equals sign.
the reverse of the equals symbol).
Step #5: Using the variable's ALONE state, isolate it
the opposite process. DO NOT FORGET: No matter what you do to one
You MUST change the other side of the equals symbol to the equals symbol
Given:
2(x + 8)= 2x + 8
2 × x + 2 × 8= 2x + 8
2x+16= 2x+ 8
16= 8
So, x∈∅.
In this equation , the value of x could not be find because variable x is dissolved in itself.
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Solve the following system of equations graphically on the set of axes below.
Answer:
Step-by-step explanation:
I can't use the same graph that you have supplied, but I can show you what the answer looks like. Just use two points from my answer that will fit on your graph. Suggest points
Red line: (7,0) and (3,6)
Blue line: (3,0) and (0,3)
Can you solve this problem so that you can explain me as best as possible to understand the problem?
It is called Combined Operations with fractions and I know that some will get the name confused but I think it is the same
Answer:
Answer: 2
Step-by-step explanation:
\( \frac{2}{3} (4 \frac{1}{6} - \frac{7}{6} ) \\ \)
express the mixed fraction into proper fraction:
\( { \boxed{4 \frac{1}{6} = \frac{(6 \times 4) + 1}{6} = \frac{25}{6} }}\)
then solve simplify:
\( = \frac{2}{3} ( \frac{25}{6} - \frac{7}{6} ) \\ \)
solve the bracket:
\( = \frac{2}{3} ( \frac{25 - 7}{6} ) \\ \\ = \frac{2}{3} ( 3)\)
then simplify:
\( = \frac{2 \times 3}{3} \\ \\ = 2\)
what does new thousand mean?
We see here that new thousand is actually liken to be the result in thousand that is gotten after carrying out an operation.
What is a thousand?A thousand is a number that denotes the sum of 1,000 units or ten hundreds.
The word "thousand" is frequently used in daily speech to denote a significant but limited amount, such as a thousand money, a thousand individuals, or a thousand pages. Alternatively, it can be used as a round number to denote an approximation, as in "a thousand times" or "a thousand and one nights."
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Find the 3rd term in the expansion of ( 5 � − 7 � ) 3 (5x−7y) 3 in simplest form.
The third term in the expansion of the expression (5x - 7y)³ is 735xy².
Given expression is,
(5x - 7y)³
We have to expand this.
We know that,
(a + b)³ = a³ - 3a²b + 3ab² - b³
Using this,
(5x - 7y)³ = (5x)³ - (3 × (5x)² × 7y) + (3 ×(5x) × (7y)²) - (7y)³
= 125x³ - (3 × 25x² × 7y) + (3 × 5x × 49y²) - 343y³
= 125x³ - 525x²y + 735xy² - 343y³
Here the third term is 735xy².
Hence the third term is 735xy².
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Can anyone help me on algebra one it’s nine grade level
Answer:
Hello middleschoolvibes says he is good at algebra and would like to help you if you post them.
A
-2+
Which graph represents the
function y = tan x?
B
2T
2T
D
-2+1
21
4+
ㅠ
2T
2πT
The graph that represents the function y= tanx is Option A.
What is the description of the above function?The graph of y =tan (x) is a periodic function that has vertical asymptotes at x = (n + 1/2)π, where n is an integer.
It oscillates between positive and negative infinity, creating a wave- like pattern.
It has a repeating pattern of sharp peaks and valleys, exhibiting both positive and negative slopes.
Thus, option A is the correct answer.
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PLEASE HELP ME! Truthful answer only please
Answer:
D. \(-2a^2+2a+4\)
Step-by-step explanation:
\(d_1=a^2+2a+3\\d_2=2a^2+a+1\\\)
First, substitute both of these equations into \(2(d_1-d_2)\)
\(2((a^2+2a+3)-(2a^2+a+1))\)
Now, you just simplify. I don't have much to say about it, but here's the steps:
\(2(a^2+2a+3-2a^2-a-1)\\2(a^2-2a^2+2a-a+3-1)\\2(-a^2+a+2)\\-2a^2+2a+4\)
Your answer is D. \(-2a^2+2a+4\)
A diphosphonate kit contian 180 mCi of Tc99m in 30 ml when it is prepared at 8am. Immediately, a 20 mCi dose is withdrawn for a bone scan. if the patient arrives late at 9:30 and half the volume is accidentally discharged, how much volume from the kit must now be added to the syringe to correct the dose to 20 mCi? (no other doses have been withdrawn meanwhile, and the decay factor for 1.5 hrs is 0.841)
The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = Initial activity * Decay factor
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = Initial activity - 20 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = Remaining activity * Decay factor
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30
Calculate the remaining volume at 9:30:
Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume
Let's perform the calculations step by step:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = 180 mCi * 0.841 = 151.38 mCi
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = 180 mCi - 20 mCi = 160 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30
Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml
Calculate the remaining volume at 9:30:
Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml
Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
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