Answer:
x = 40
Step-by-step explanation:
We can use a ratio to solve
$25 x
------- = --------
5 8
Using cross products
25*8 = 5x
200 = 5x
Divide each side by 5
200/5 = 5x/5
40 =x
A basketball team scored 366 points in S games. Another
in 8 games. Each team played one additional game, maki
scored per game the same for both teams. The equation
number of points scored by each team in the additional
366 +
585 * *
The value of x in the expression given is 72.
From the equation given, we can calculate the value of x thus :
(366+x)/6 = (585+x)/9cross multiply
9(366 + x) = 6(585 + x)
3294 + 9x = 3510 + 6x
9x - 6x = 3510 - 3294
3x = 216
x = 216/3
x = 72
Hence, the value of x is 72
Complete Question:
A basketball team scored 366 points in 5 games. Another basketball team scored 585 points in 8. What is the value of x? A 65 B 73 C 61 D 72 games. Each team played one additional game, making the average number of points scored per game the same for both teams. The equation below can be used to find x, the number of points scores by each team in the additional game. (366+x)/6 = (585+x)/9 .
How do you write the equation of a circle with the center (6,2) and radius r=8?
Answer:
(x-6)^2 + (y-2)^2 = 64
Step-by-step explanation:
We can write the equation of circle as
(x-h)^2 + (y-k)^2 = r^2
Where (h,k) is the center and r is the radius
(x-6)^2 + (y-2)^2 = 8^2
(x-6)^2 + (y-2)^2 = 64
Circle equation: (x - h)² + (y - k)² = r²
The center is (h, k) and the radius is r.
(x - 6)² + (y - 2)² = 8²
(x - 6)² + (y - 2)² = 64
Best of Luck!
A toy boat is bobbing in the water.
Its distance D(t) (in m) from the floor of the lake as a function of time t (in seconds) can be modeled by a sinusoidal expression of the form a×sin(b×t) + d.
At t=0, when the boat is exactly in the middle of its oscillation, it is 1 m above the water's floor. The boat reaches its maximum height of 1.2 m after pi/4 seconds.
Find D(t).
Answer:
[tex]D(t) = 1\,m + (0.2\,m)\cdot \sin \left[\right(2\,\frac{rad}{s} \left)\cdot t\right][/tex]
Step-by-step explanation:
The sinusoidal expression has the following form:
[tex]D(t) = D+A\cdot \sin (B\cdot t)[/tex]
Where:
[tex]D[/tex] - Initial distance from the floor of the lake, in meters.
[tex]A[/tex] - Amplitude of oscillation, in meters.
[tex]B[/tex] - Angular frequency, in radians.
Now, each coefficient is derived as follows:
Initial distance from the floor of the lake
[tex]D = 1\,m[/tex]
Amplitude of oscillation
[tex]A = 1.2\,m - 1\,m[/tex]
[tex]A = 0.2\,m[/tex]
Angular frequency
From the statement it is known that boat reaches its maximum height in a quarter of its oscillation. Then, the angular frequency is:
[tex]B = \frac{\frac{1}{2}\pi \,rad}{\frac{1}{4}\pi \,s}[/tex]
[tex]B = 2\,\frac{rad}{s}[/tex]
The expression is:
[tex]D(t) = 1\,m + (0.2\,m)\cdot \sin \left[\right(2\,\frac{rad}{s} \left)\cdot t\right][/tex]
Answer:
0.2sin(2t)+1
Step-by-step explanation:
This is a simplified version of the answer above me.
What is the length of Line segment B C? Round to the nearest tenth.
Triangle A B C is shown. Angle B C A is a right angle and angle C A B is 65 degrees. The length of hypotenuse B A is 16 centimeters and the length of B C is x.
6.8 cm
7.5 cm
14.5 cm
17.7
Answer:
14.5
Step-by-step explanation:
since the hypotenuse is 16 you multiply that by (sin(65)) and 14.5 is the answer.
Solve the inequality
−4>x÷3
Answer:
the answer is -12>x or x< -12
Step-by-step explanation:
multiply both sides by 3
Answer:
[tex]\quad x<-12[/tex]
(Please vote me Brainliest if this helped!)
Step-by-step explanation:
[tex]-4>\frac{x}{3}[/tex]
[tex]\mathrm{Switch\:sides}[/tex]
[tex]\frac{x}{3}<-4[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}3[/tex]
[tex]\frac{3x}{3}<3\left(-4\right)[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x<-12[/tex]
Does the graph of y=x2+4x−1 open upward or downward? upward downward
Answer:
Upward
Step-by-step explanation:
The first term is positive meaning it will open upward
Answer: The answer is A: Upward.
Step-by-step explanation: When the first term is positive, the graph open upward.
Christy bought 8 muffins. She chose 2 apple, 2 banana, and 4 blueberry. She and her family ate the apple
and banana muffins for breakfast.
What fraction of the muffins did they eat?
They ate
of the muffins.
/8
Enter an equivalent fraction.
An equivalent fraction is. /2
Answer:
4/8
Step-by-step explanation:
bc the ate 4 muffins of a total of 8
Answer:4:8
Step-by-step explanation:
a square garden plot has an area of 24 ft2. a. find the length of each side in simplest radical form. b. calculate the length of each side to the nearest tenth of a foot.
The area of a square is equal to the side squared.
[tex]s^{2} = A[/tex]
We can plug in 24 for A and then take the square root of each side to
find s.
[tex]s^{2} = 24[/tex]
[tex]s = \sqrt{24}[/tex]
We can simplify √24.
The prime factorization of 24 is 2 x 2 x 2 x 3.
Since we have 2 x 2 inside the radical we can simplify to have 2
outside the racial.
[tex]\sqrt{24} = \sqrt{4*6} = 2 \sqrt{6}[/tex]
We can then use a calculator to find an approximate decimal value
2√6.
(You could technically calculate it by hend using the Babylonian
method, I don't think youre expectited to do that, though)
[tex]2\sqrt{6} = 4.9 ft[/tex]
How many total outcomes are in the sample space of rolling two numbered cubes numbered 1-6
For each cube there are 6 outcomes, so there are 6*6 = 36 outcomes for two dice. Visually you can have a table that is 6 rows and 6 columns leading to 36 cells overall.
I need help with this is khan academy
Answer:
Step-by-step explanation:
It's 500 so yeah there you go
Answer:
y-intercept=32
Step-by-step explanation:
You can find the y-intercept using the slope-intercept form:
[tex]y=mx+b[/tex]
M is the slope and b is the y-intercept. To find the y-intercept, first find the slope. Take two of the points from the table (x,y) and use the slope formula:
[tex](64,12)(48,17)\\\\\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{rise}{run}[/tex]
Rise over run is the change in the y-axis over the change in the x-axis:
[tex](64(x_{1}),12(y_{1}))\\(48(x_{2}),17(y_{2}))[/tex]
[tex]\frac{17-12}{48-64}= \frac{5}{-16}=-\frac{5}{16}[/tex]
Now that we have the slope, insert into the equation:
[tex]y=-\frac{5}{16} x+b[/tex]
Take a point from the table and insert into the x and y values:
[tex](64_{x},12_{y})\\\\12=-\frac{5}{16}(64)+b[/tex]
Solve for b. Simplify parentheses:
[tex]-\frac{5}{16}*\frac{64}{1}=-\frac{320}{16}=-20[/tex]
[tex]12=-20+b[/tex]
Add 20 to both sides to isolate b:
[tex]20+12=-20+20+b\\32=b\\b=32[/tex]
If b equals 32, then the y-intercept is 32.**
Finito.
**The y-intercept is where x is equal to 0 (0,32)
NEED ANSWER ASAP!!!Keiko and Eric each randomly surveyed people with cell phones. They recorded peoples'
ages (a years) and how many texts they send per day on average (t texts). For their respective data, they each drew a line of best-fit and determined its equation. They then compared equations and made inferences based only on the equations they calculated.
In this Age and Texting question, The true statement based on this information is that the younger a person is, the more likely they are to text. So the correct answer is option 3rd.
The two equations given represent the lines of best fit for the data collected by Keiko and Eric regarding peoples' age and the number of texts they send per day on average.
By analyzing the equations, we can make inferences about the relationship between age and the number of texts. Keiko's equation, t = -1.63a + 92.14, suggests that as age increases, the number of texts decreases.
Eric's equation, t = -1.05a + 80.97, also indicates a negative relationship between age and the number of texts, but with a slightly smaller slope. Therefore, the true statement based on this information is that the younger a person is, the more likely they are to text.
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What is the value of the expression 9 + StartFraction n Over 3 EndFraction minus 6 when n = 12?
1
5
7
12
Answer:
The correct answer for the question is 7
Which of the following is a reason why Northern Europe’s literacy rate is so high?
A. high taxes
B. Strong government support
C. All of the above
D. Free schooling
A Ferris wheel has a diameter of 60 feet. Determine the distance around the Ferris wheel
Answer:
Step-by-step explanation:
2*pi*r
here r=D/2=60/2=30
so
s=2*3.14*30=188.4
Find the perimeter of the colored part of the figure. The figure is composed of small squares with side-length 1 unit and curves that are an arc of a circle(half circle). Use 3.14 for pi.
Answer:
16.56 in
Step-by-step explanation:
4 sides of the squares are exposed
The radius of each semicircle is 1 since they are against 2 squares.
2pi*r=circumfrence
2pi*1=6.28
6.28/2=3.14 because it's a semicircle
3.14*4=12.56 because there are 4 equal semicircles
12.56+4=16.56
how to write 700.06 in
word form
Step-by-step explanation:
seven hundred and six hundredtsorseven hundred point zero sixThe word form of the number 700.06 will be;
'' Seven hundred point zero six.
What is Place value?
The value represented by a digit in a number on the basis of its position in the number is called a Place value.
Given that;
The number is,
⇒ 700.06
Now,
The word form of the number 700.06 will be;
'' Seven hundred point zero six.
Thus, The word form of the number 700.06 will be;
'' Seven hundred point zero six.
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Find the range of the function. f(x) =10-x^2
Answer: ( - ∞ , 10 ] , { y| y ≤ 10 }
Step-by-step explanation: You have to find the domain by finding where the function is defined. The range is the set of the values that correspond with the domain.
The range of the function f(x) = 10 - x^2 is all real numbers less than or equal to 10.
To find the range of the function f(x) = 10 - x^2, we need to consider the maximum and minimum values that f(x) can take. The parabola opens downwards since the coefficient of x^2 is negative, which means it has a maximum value and no minimum value. The vertex of this parabola occurs at x = 0, which gives us the maximum value of f(0) = 10. Therefore, the range of f(x) is all real numbers less than or equal to 10, which can be expressed as f(x) ≤ 10 or in interval notation, \\[10, -∞).
reference the right triangle shown below to write the quantity as a fraction in lowest terms
tan P
Answer:
A right angled triangle is a triangle where one of the internal angles is 90°.
Consider the general right angle triangle, in figure 1 below, with angle β and sides labeled as shown below
Right-Angle-Triangle
The sides are labeled with respect to the angle β, so that the nearest side is called the adjacent side, the side that is directly opposite is called the opposite side while the longest side is called the hypotenuse.
Therefore, given any angle in a triangle, it should be easy to identify the adjacent, the opposite side and the hypotenuse.
Example
Reference to the figure below.
Example1
1. Identify the right angle triangles in the above diagram.
Solution: A right angled triangle is a triangle where one of the internal angles is 90°. Such triangles are ABC, ABN, DAC and DNC.
2. Identify the adjacent sides to angles θ, α, β and µ.
Solution:
Angle θ is in triangle DAC. The angle is nearer to line AC hence, it is the adjacent line.
Angle α is in triangle ABN. The angle is nearer to line AB hence, it is the adjacent line.
Angle β is in triangle DNC. The angle is nearer to line DC hence, it is the adjacent line.
Angle µ is in triangle ABC. The angle is nearer to line AB hence, it is the adjacent line.
3. Identify the opposite sides to angles θ, α, β and µ.
Solution:
Angle θ is in triangle DAC. The angle is opposite to line DC hence, it is the opposite line.
Angle α is in triangle ABN. The angle is opposite to line AN hence, it is the opposite line.
Angle β is in triangle DNC. The angle is opposite to line CN hence, it is the opposite line.
Angle µ is in triangle ABC. The angle is opposite to line AC hence, it is the opposite line.
4. Identify hypotenuse with respect to angles θ, α, β and µ.
Solution:
Angle θ is in triangle DAC. The longest side in that angle triangle is AD hence, it is the hypotenuse.
Angle α is in triangle ABN. The longest side in that angle triangle is NB hence, it is the hypotenuse.
Angle β is in triangle DNC. The longest side in that angle triangle is DN hence, it is the hypotenuse.
Angle µ is in triangle ABC. The longest side in that angle triangle is CB hence, it is the hypotenuse.
We will cover the following. Feel free to skip any section as you prefer.
Step-by-step explanation:
Pablo put $1,260 into a savings account that earns 3% simple interest per year. He does not make any deposits or withdrawals. How much money will be in Pablo's account after 2 years?
Answer:
$1,335.60
Step-by-step explanation:
6% of $1,260 is $75.60. $1,260 + $75.60 = $1,335.60
Hope this helps!!
A function that decreases proportionally to it's current value. The smaller the function gets, the faster it decreases
Answer:
decay function
Step-by-step explanation:
took the usa test prep
2x + 4x - 5= 37
Help me please it’s multi step equation
Add 2x and 4x together you'll get 6x then add 5 to 37 and get 42 then divide 42 by 6x and 7=x
Answer:
x=7
Step-by-step explanation:
2x + 4x - 5= 37
Combine like terms
6x-5 =37
Add 5 to each side
6x-5+5 = 37+5
6x = 42
Divide each side by 6
6x/6 = 42/6
x =7
Sing Lu jogs around a park near her house 3 times a week. The distance around the park is 0.8 mile. How many laps around the park are necessary to run 6 miles?
Answer:
6/0.8 = 7.5
She'll have to jog around the park 7 and a half times.
Rusty’s favorite meal consists of a corn dog, tater wedges, and a fudge sickle. Rusty has decided to order a corn dog and to choose his side and dessert randomly. What is the probability that Rusty will not end up with his favorite meal?
A. 1/80
B. 1/16
C. 15/16
D. 79/80
Answer:
Option C.
Step-by-step explanation:
It is given that Rusty’s favorite meal consists of a corn dog, tater wedges, and a fudgesicle.
Rusty has decided to order a corn dog and to choose his side and dessert randomly.
We need to find the probability that Rusty will not end up with his favorite meal.
Total number of sides = 4
Total number of desserts = 4
Total possibilities = 4 × 4 = 16
Possible ways of selecting tater wedges and a fudge sickle = 1
Probability that Rusty will end up with his favorite meal is
[tex]P=\dfrac{1}{16}[/tex]
Probability that Rusty will not end up with his favorite meal is
[tex]P'=1-P=1-\dfrac{1}{16}=\dfrac{15}{16}[/tex]
Hence, the correct option is C.
You are buying balloons for a party. A small balloon costs $2. A large balloon costs $4. Write an algebraic expression for the cost of x small balloons and y large balloons. Then find the total cost for 10 small balloons and 5 large balloons.
An algebraic expression for the cost of x small balloons and y large balloons is
what.
The total cost for 10 small balloons and 5 large balloons is $
what.
Will mark your answer brainliest if you get it right
Please Answerrrrrrrrrr!
Answer:
2x + 4y
$40
Step-by-step explanation:
Equation for x small balloons and y large balloons
2x + 4y
Total cost of 10 small balloons and 5 large balloons
x = 10, y = 5
2(10) + 4(5)
= 20 + 20
= $40
can someone please help answer this problem ASAP!!!:)
Answer:
c
Step-by-step explanation:
i am a really good guesser and i think it is c
What is the volume, in cubic ft, of a cylinder with a height of 17ft and a base radius of 5ft, to the nearest tenths place?
Answer: 1335.2 ft^2
Step-by-step explanation: The volume of a cylinder formula is V=πr^2h. Just plug in 17 into h and 5 into r. Also the 2 is an exponent
The volume of the cylinder with a height of 17ft and a base radius of 5ft is approximately 1335.2 cubic feet.
What is the volume of a substance?The volume of a substance is the total space occupied by the substance in the three-dimensional space.
How do we determine the volume of a cylinder?The volume of a cylinder with the radius of the base r units, and a height of h units is given by the formula:
The volume of a cylinder = πr²h cubic units.
How do we solve the given question?In the question, we are asked to determine the volume of a cylinder with a base radius of 5ft and a height of 17ft.
We are given base radius r = 5ft, height h = 17ft.
To determine the volume, we use the formula of the volume of a cylinder:
The volume of a cylinder = πr²h cubic units.
or, Volume = π*(5²)*17 cubic feet
or, Volume = 3.1415*25*17 cubic feet (Taking π ≈ 3.1415)
or, Volume = 1335.1768 cubic feet ≈ 1335.2 square feet (Nearest tenths)
∴ The volume of the cylinder with a height of 17ft and a base radius of 5ft is approximately 1335.2 cubic feet.
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Compute the distance between (7,-4,9) and (x,y,z).
a. (7 + x)2 + (-4 + y)2 + (9 + 2)2
b. (7 - x)2 + (-4 - y)2 + (9 - 2)2
C.
d.
7- x) + (-4-y) + (9 -23
(7+ x)2 + (-4+ y)2 + (9+ 2)2
Option b:
[tex]\boxed{ d=\sqrt{(7-x)^2+(-4-y)^2+(9-z)^2}}[/tex]
Explanation:Let two points be:
[tex]P_{1}(x_{1},y_{1},z_{1}) \\ \\ P_{2}(x_{2},y_{2},z_{2})[/tex]
The distance formula is defined as:
[tex]d=\sqrt{(x_{1}-x_{2})^2+(y_{1}-y_{2})^2+(z_{1}-z_{2})^2}[/tex]
Therefore, if we define:
[tex]P_{1}(7,-4,9) \ and \ P_{2}(x,y,z) \\ \\ \\ Then: \\ \\ d=\sqrt{(7-x)^2+(-4-y)^2+(9-z)^2}[/tex]
Finally, correct option is b
Answer:
The Answer is correct, he just has the wrong letter.
Step-by-step explanation:
The correct answer is C
x^2+ 6x - 4 = 3x + 6
Answer:
x=2
x=-5
Step-by-step explanation:
You need to get everything on one side to have a quadratic equation:
x^2+6x-4 -(3x+6) = x^2+3x-10
All factors of 10 are 1*10 and 2*5.
5-2 = 3 and 5*-2 = -10
Factoring x^2+3x-10 gives us (x-2)(x+5)
x=2
x=-5
Answer:
x=-5 x=2
Step-by-step explanation:
x^2+ 6x - 4 = 3x + 6
Subtract 3x from each side
x^2+ 6x-3x - 4 = 3x-3x + 6
x^2+ 3x - 4 = 6
Subtract 6 from each side
x^2+ 3x - 4-6 = 6 - 6
x^2 +3x -10 =0
Factor
What 2 numbers multiply to -10 and add to 3
5*-2 =-10
5+-2 = 3
(x+5) (x-2) =0
Using the zero product property
x+5 =0 x-2 =0
x=-5 x=2
Q4. The dimensions of a rectangular sheet of metal are 9.96m by 5.08 m. Find
a. the perimeter of the metal, correct to 1 significant figure
b. the area of the metal, correct to the nearest 0.1 m2
Answer:
a) 30m
b) 50.6m²
Step-by-step explanation:
Perimeter = 2(length + width)
= 2(9.96 + 5.08)
= 30.08 m
Area = length × width
9.96 × 5.08
50.5968 m²
A person accidentally dropped a quarter, a dime, and a penny. All three coins landed on heads. What was the probability of this happening?
The probability of a quarter, a dime, and a penny all landing on heads is found by multiplying the individual probabilities for each coin, resulting in a 12.5% likelihood.
Explanation:The question asks about the probability of a quarter, a dime, and a penny all landing on heads when accidentally dropped. To determine this, we assume each coin has a 50-50 chance of landing on heads or tails, i.e., the probability of heads is 0.5 for each coin toss. Since each coin is independent of the others, we apply the product rule of probability for independent events.
Therefore, the probability of all three coins landing on heads is:
Probability(Quarter on heads) × Probability(Dime on heads) × Probability(Penny on heads) = 0.5 × 0.5 × 0.5 = 0.125 or 12.5%.
This represents an application of the product rule, as each coin toss is an independent event and the final probability is the product of the individual probabilities.