Using proportions, it is found that the statement that Tiffany would expect the spinner to land on a color section beginning with the letter "B" roughly 48 times is True.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, out of 8 sections, 4(Blue, Brown, Bronze and Black) begin with letter "B". We want to find the equivalent amount out of 98 trials. Hence, the rule of three is:
8 trials - 4 start with "B".
96 trials - n start with "B".
Applying cross multiplication:
8n = 4 x 96
n = 0.5 x 96
n = 48.
Hence, the statement is True.
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State whether each equation is in standard form.
A.) 3x + y = 8
B.) x - y = 15z
C.) x(to the second power) + y = 11
D.) 3xy + y(to the second power) = 4
E.) x + 4y = 12
F.) 5x + 24y = 544
Please help, I'll give Brainliest!
Answer:
Step-by-step explanation:
Standard form: Ax + By = C
State whether each equation is in standard form.
A.) 3x + y = 8 (in standard form)
B.) x - y = 15z (not in standard form, because it has a variable(15z))
C.) x^2 + y = 11 (not in standard form, this is not a linear equation)
D.) 3xy + y^2 = 4 (not in standard form, this is not a linear equation)
E.) x + 4y = 12 (in standard form)
F.) 5x + 24y = 544 (in standard form)
Hope this helps!
help would be appreciated
Answer:
The answer is C 33.75 inches
Step-by-step explanation:
look at the explanation photo
A yogurt machine makes
gallon of yogurt
every minute. The total amount y that the
machine makes in x minutes is given by
the equation y
]×. Determine whether the
relationship between x and y is linear and, if
so, if it is proportional,
Step-by-step explanation:
the relationship between x and y is defined by a constant factor.
you can "go" from x to y and from y to x consistently and without any interruptions by applying that constant factor.
that makes it a linear relationship (a line on a chart, hence the name).
proportional relationships are relationships between two variables where their ratios are equivalent. another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".
so, yes, it is proportional.
and the table is then
x y
0 0
3 3×2/3 = 2
6 6×2/3 = 4
9 9×2/3 = 6
Solve this system of equations by graphing. First graph the equations, and then type the solution. y=3x–2 y= – x+6 Click to select points on the graph. The solution is , .
Answer:
(2 , 4)
Step-by-step explanation:
set 3x-2 = -x + 6
4x = 8
x = 2
3(2) - 2 = 4
A cell phone company charges $112.75 per month plus $0.25 per data usage over 1000 texts messages. how many messages can you send in one month for a budget of $325?
Answer:
8,490 messages
Step-by-step
Quick!!! Solve for the missing lengths using trigonometric ratios.
*
110m
42°
Х
Answer:
see explanation
Step-by-step explanation:
using the tangent ratio in the right triangle to find x
tan42° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{10}{x}[/tex] ( multiply both sides by x )
x × tan42° = 10 ( divide both sides by tan42° )
x = [tex]\frac{10}{tan42}[/tex] ≈ 11.1 ( to 1 dec. place )
-------------------------------------------------
using the sine ratio to find the hypotenuse h
sin42° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{10}{h}[/tex] ( multiply both sides by h )
h × sin42° = 10 ( divide both sides by sin42° )
h = [tex]\frac{10}{sin42}[/tex] ≈ 14.9 ( to 1 dec. place )
Photo attached with instructions
Step-by-step explanation:
using cosine rule,
BC²= AC² + BC² - 2*AC*BC*COSc
= 13² + 6² - 2*13*6*-cos(180-91)
= 169 + 36 - (-2.72)
= 202.28
√BC² = √202.28
BC = 14.22
BC = 14.20cm to nearest tenth
Shelly rolls a dice 36 times. How many of those times should she expect it to land on a 1?
Answer:
it will land on "1" exactly 12 times
The algebra tiles represent the perfect square trinomial x2 10x c. what is the value of c? c =
The value of c for which the considered trinomial becomes perfect square trinomial is: 20 or -20
What are perfect squares trinomials?They are those expressions which are found by squaring binomial expressions.
Since the given trinomials are with degree 2, thus, if they are perfect square, the binomial which was used to make them must be linear.
Let the binomial term was ax + b(a linear expression is always writable in this form where a and b are constants and m is a variable), then we will obtain:
[tex](ax + b)^2 = a^2x^2 + b^2 + 2abx[/tex]
Comparing this expression with the expression we're provided with:
[tex]x^2 + 10x + c[/tex]
we see that:
[tex]a^2 = 1 \implies a = \pm 1\\b^2 = 10\\b = \pm 10\\2ab = c\\\pm2(10)1 = c\\c = \pm 20\\[/tex]
Thus, the value of c for which the considered trinomial becomes perfect square trinomial is: 20 or -20
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The table shows the sales receipt for your purchase.
a) the items with a "t" next to the price are subject to sales tax. what percent sales tax did you pay?
b) calculate the price of the top.
c) the price you paid for the top was 60% of the original price. what was the original price of the top?
The sales receipt for the purchase includes the sales tax
The sales tax is 6%The price at the top is $7.50The original price at the top is $12.50How to determine the percent of sales tax?The sales tax is calculated as:
Percentage sales tax * (Sum of Items subjected to tax) = Sales tax.
So, we have:
T * (3 + 0.5) = 0.21
Evaluate the sum
T * (3.5) = 0.21
Divide both sides by 3.5
T = 6%
Hence, the sales tax is 6%
The price at the topThe price (p) at the top is calculated using:
p = 13 - 3 - 2 - 0.5
Evaluate the difference
p = 7.5
Hence, the price at the top is $7.50
The original price at the top60% of the original price (P) is p.
So, we have:
60% * P = p
Substitute 7.5 for p
60% * P = 7.5
Divide both sides by 60%
P = 12.5
Hence, the original price at the top is $12.50
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What is the slope of the line that passes through the points(-5,-9) and (-5,-13)? Write your answer in simplest form.
Answer:
slope is undefined
ex. a straight vertical line like x = 2 would have an undefined slope
Step-by-step explanation:
formula is
y2-y1 / x2-x1
-13 + 9 / -5 + 5
-4 / 0
slope is undefined
straight vertical line like x = 2 would have an undefined slope
undefined slope is the slope of any vertical line that goes up or down. There is no horizontal movement and hence the denominator is zero while calculating the slope. Thus the slope of the line is undefined.
cuemathcomgeometryundefinedslope
mathbootcampscom
the slope of a line passing through two points with the same x-coordinate, like (-5, -9) and (-5, -13), is undefined because the line is vertical and doesn't have a defined slope.
Slope (m) = (change in y) / (change in x)
In this case, you have two points: (-5, -9) and (-5, -13). The x-coordinates are the same (-5) for both points, which means there is no change in the x-coordinate. Therefore, the denominator in the slope formula becomes zero:
Slope (m) = (change in y) / (0)
When the denominator is zero, division is undefined in mathematics. This corresponds to a vertical line on a graph. A vertical line doesn't have a well-defined slope because it doesn't have a constant rate of change in the x-direction since the x-values don't change. Instead, the vertical line runs parallel to the y-axis.
So, the slope of a line passing through two points with the same x-coordinate, like (-5, -9) and (-5, -13), is undefined because the line is vertical and doesn't have a defined slope.
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can you please help?
Answer:
$103.75
Step-by-step explanation:
Hours worked on Monday: 8.30 hours (4.15 h in the morning and 4.15 h in the afternoon)
8.30 hours x $12.50 per hour: $103.75
This is urgent I really I need the answers
Thanks in advance
equation: 2y = 3x + 15
If cross y-axis, the x will be 0
2y = 3(0) + 15
2y = 15
y = 7.5
crosses y-axis at (0, 7.5)
(b)
P(-1,10), Q(3,4)
(i) gradient:
[tex]\sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\rightarrow \sf \dfrac{4-10}{3--1}[/tex]
[tex]\rightarrow \sf \dfrac{-6}{4}[/tex]
[tex]\rightarrow \sf -1.5[/tex]
(ii) midpoint:
[tex]\sf (x_m, y_m) = (\dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2})[/tex]
[tex]\rightarrow \sf (x_m, y_m) = (\dfrac{3-1}{2}, \dfrac{4+10}{2})[/tex]
[tex]\rightarrow \sf (x_m, y_m) = (1,7)[/tex]
Samantha invested $67,000 in an account paying an
interest rate of 3.9% compounded continuously.
Assuming no deposits or withdrawals are made, how
much money, would be in the account after 7 years?
Answer:
A = $13,116.03
Step-by-step explanation:
the equation used for compound is A = Pe^rt, where p= principle, r=rate(interest) e=2.71828, and t=time. first convert the rate into a decimal, then plug in the numbers into the equation.
A = 10,000.00(2.71828)^(0.03875)(7)
Each season a baseball pitcher records the number of strikeouts he throws. The sequence below
represents his strikeouts for the first five seasons in the league.
147, 154, 161, 168, 175 If this pattern continues, what explicit formula could be used to determine f(n), the number of
strikeouts he throws during his n th season?
a. f(n) = 147 + 7n
b. f) = 140 + 7)
c. f(n) = 147n + 7
d. f(n) = 140n + 7
Answer:
make the n in side and join together
Identify the correct explanation for why the triangles are similar. Then find TO and US.
Answer:
The correct explanation is option B;B. ∠L ≅ ∠L By Reflexive Prop. ≅.
Since ║ , ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6
Step-by-step explanation:
The given parameters are;
= 5
= 10
= + = 15
= x - 3
= x + 1
A two column proof is presented as follows;
Statement Reason
∠L ≅ ∠L By Reflexive property of congruency
║ Given
∠LOP ≅ ∠LMN By the Corresponding angles Postulate
Therefore
ΔLOP ~ ΔLMN By AA similarity Postulate
Where we have that ΔLOP and ΔLMN, we get;
/ = / = 5/15 = 1/3
∴ (x - 3)/(x + 1) = 1/3
3·(x - 3) = 1·(x + 1)
3·x - 9 = x + 1
3·x - x = 1 + 9 = 10
2·x = 10
x = 10/2 = 5
x = 5
= (x - 3) = 5 - 3 = 2
= 2
= x + 1 = 5 + 1 = 6
= 6
Therefore, the correct option is ∠L ≅ ∠L By Reflexive Prop. ≅.
Since ║ , ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6.
/TO/ and /US/ are parallel so the angles at TOS (©)and the external angle at OSU (©) are equal ( Z angles) therefore the internal angle at OSU will be 180 - © similarly the angle at POT is also 180 - ©
PLSSSSSS HELP ME WITH THISS!!!
Answer:
Her total would be $59 so, we would be a dollar extra.
The answer is Yes, the total will be $59.
Step-by-step explanation:
$58 - $18.50 = You need to earn $39.5.
Garden = $6.50 per hour
Cakes = $5.25 per hour
$6.50 X 3 hours = $19.50
$5.25 X 4 hours = $21
$21 + $19.50 = $40.50 totall
$18.50 + $40.50 = $59
Btw the answer needs to be a fraction.
Answer:
3/4
Step-by-step explanation:
A quarter is tossed three times. What is the probability that it will land
on tails three times in a row?
Answer:
The probability of flipping a coin three times and getting 3 tails is 1/8.
Step-by-step explanation:
Ramona went to a theme park during spring break she was there for 7 hours and rode 21 rides at what rate did I Ramona ride rides in rides per hour
Answer:
57393487
Step-by-step explanation:
un kilo por hora espero que te ayude
Answer:
3 rides/hour
Step-by-step explanation:
Not sure what ^^ guy was saying... And I don't understand why?
The correct answer is number of rides / hours.
21 / 7 = 3
Alex just started college and has taken a 10-year subsidized loan out for $5,500 with 6.5% deferred interest. He plans on graduating in 4 years. Determine the money payment alex will pay upon graduation.
Given that the 6.5% interest on the $5,500 loan is deferred during college, the amount Alex will pay upon graduation is $81.67 monthly.
How can the amount Alex will pay be found?The number of years for the loan = 10-year
The loan amount = $5,500
The number of years for the interest = 6 years
The monthly payment formula is presented as follows;
[tex]a = \frac{p \times \frac{r}{12} \times {(1 + \frac{r}{12} )}^{84} }{({1 + \frac{r}{12} )}^{84} - 1}[/tex]
Which gives;
[tex]a = \frac{5500 \times \frac{0.065}{12} {(1 + \frac{0.065}{12} })^{84} }{{(1 + \frac{0.065}{12} })^{84}} = 81.67[/tex]
The amount Alex will pay upon graduation is $81.67 each monthLearn more about monthly payment on loan formula;
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Jason observed a series of circles and saw the following pattern. What color will the next circle be?
red, blue, green, green, red, blue, green, green, ...
- yellow
- red
- green
- blue
Answer:
Red
Step-by-step explanation:
Hope it helps :)
Please help extremely confused
Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale. (picture of diagram included)
Answer:
basic geometry and trig ratios
Step-by-step explanation:
sin 10 = 500/x
x = 500/sin 10
x = 2 879,4 m
Pls help I’ll give you 25 points
Answer:
For the 1st row:
6.38 - 6 19/50 - 638%
Step-by-step explanation:
I would suggest using MathPapa if you are trying to do it quick. MathPapa will only really help with finding fractions and percentages, though. To get the decimal, need to find percentages then move decimal to the left 2 times.
ex. 125% -> 1.25
I hope this helps! Have a blessed rest of your night!
Using the equation 4x-7=13 , choose all the steps that are used to solve the equation.
Answer:
see below
Step-by-step explanation:
4x-7=13
Add 7 to each side
4x-7+7 = 13+7
4x=20
Divide each side by 4
4x/4 = 20/4
x = 5
Answer:
x=5
Step-by-step explanation:
[tex]\hookrightarrow 4x-7=13 \\\\\hookrightarrow 4x=13+7\\\\\hookrightarrow 4x=20\\\\\hookrightarrow x=20/4\\\\\hookrightarrow x=5[/tex]
Solve this system of equations.
3x + 4y = 36
y = -1/2x + 8
What is x?
Answer: Between 1 and 3.
Step-by-step explanation:
You have to Think about y too, y can be anything, but let's say y is 1. Then x should be 3
x = 4, y = 6
In this case, you can solve the equation by substitution.
3x + 4y = 36
We are given that y = -1/2x + 8
Plug in that value assigned to y.
3x + 4(-1/2x + 8) = 36
3x -2x + 32 = 36
x + 32 = 36
x = 4
Now, we can return back to y
y = -1/2x + 8
y = -1/2(4) + 8
y = -2 + 8
y = 6
The camp has two fire pits. One is a rectangular fire pit with a perimeter of 20 inches. The
other is a circular fire pit with a circumference of 7 inches. Shakir will place stones along
the outside edges of both fire pits. If each stone is the same size, which pit will require more
stones? Use the space below for your work. Explain how you know.
Please help!!
At a jeans factory, a random quality check found 8 pairs defective and 292 pairs with no problems. how many defective pairs can be expected in the inventory of 3,000 pairs of jeans? 80 pairs 82 pairs 292 pairs 375 pairs
Use your calculator to find sin-1(0.48) to the nearest degree
Using your calculator the inverse sine of 0.48(sin⁻¹ 0.48) to the nearest degrees is 29 degrees.
How to use calculator to find inverse sine of a number
According to the question, we are to use calculator to find the inverse sine of 0.48. This can be represented mathematically as follows:
sin⁻¹ 0.48
The exponential -1 tells us that it is an inverse sine.
The picture below gives are more pictorial way to use calculator to find inverse sine of 0.48.
Always check if your calculator is set in degree and not radian.
Therefore,
sin⁻¹ 0.48 = 28.6854020141
To the nearest degrees,
sin⁻¹ 0.48 = 29°
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in the figure line segment AB is tangent to the circle at point A. find the length of line segment AB 8 in. And 10 in.
Answer:
the answer is just ab
Step-by-step explanation:
dats what it is added up
The length of line segment AB is 12 inches for the given figure.
What is a secant?A secant is a straight line that touches a circle twice.
As per the given figure, we have
Secant segment BD = (8+10) in.
External secant segment BC = 8 in.
Tangent segment = AB
When a secant segment and a tangent segment intersect at an exterior location, the square of the tangent segment's measure equals the product of the secant segment's and its external secant segment's measures.
So, AB² = BC × BD
Substitute the values in the above equation,
AB² = 8 × (8+10)
AB² = 8 × 18
AB² = 144
AB = 12
Thus, the length of line segment AB is 12 inches.
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The complete question has been attached below.