Hello !
Answer :
100% of x ⇒ 100/100 × x = 1 × x = x
200% of y ⇒ 200/100 × y = 2 × y = 2y
Select the correct answer from each drop-down menu.
Consider triangles ABC and QPRshown.
Triangle ABC is
triangles are
B
triangle QPR. Since the transformations
Reset
Next
, the
Triangle ABC and triangle QPR are similar triangle based on the side-angle-side similarity theorem.
What are similar triangles?Two triangles are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion. Also, corresponding angles are congruent.
Triangle ABC and triangle QPR are similar triangle based on the side-angle-side similarity theorem.
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Answer:
down below
Step-by-step explanation:
Hope this helps =)
Find the value of z.
74. REAL-WORLD APPLICATIONS
A car rental company offers two plans for renting a car. Plan A: $30 per day and $0.18 per mile Plan B: $50 per day with free unlimited mileage How many miles would you need to drive for plan B to save you money?
Answer:
For plan B to save money car rental need to drive 111.1 miles as [tex]\frac{x}{y}[/tex] expresses the average amounts of miles per day car rental drive and its obtained value is 111.1.
Step-by-step explanation:
In the question it is given that a car rental company offers two plans for renting a car.
Plan A: $30 per day and [tex]$\$ 0 \cdot 18$[/tex] per mile.
Plan B: $50 per day with free unlimited mileage
It is required to find that how many miles would be needed to drive for plan B to save money. be needed to drive for plan B to save money.
Step 1 of 5
In Plan A $30 per day and [tex]$\$ 0 \cdot 18$[/tex] per mile are costed so the cost of Plan A is given by following equation,
[tex]$$A=30 y+0 \cdot 18 x$$[/tex]
In Plan B $50 per day with free unlimited mileage are costed so the cost of Plan B is given by following equation,
[tex]$$B=50 y$$[/tex]
Step 2 of 5
Now comparing the obtained equations [tex]$A=30 y+0 \cdot 18 x$[/tex]
and B=50y.
[tex]$$30 y+0 \cdot 18 x=50 y$$[/tex]
Step 3 of 5
Subtract 30y from both the sides of the obtained equation 30 y+0.18x=50y and simplify using subtraction properties.
[tex]$$30 y+0 \cdot 18 x-30 y=50 y-30 y$$\\ $0 \cdot 18 x=20 y$[/tex]
Step 4 of 5
Divide both the sides of the obtained equation [tex]$0 \cdot 18 x=20 y$[/tex] by [tex]$0 \cdot 18$[/tex] and simplify using division properties.
[tex]$$\begin{aligned}&\frac{0 \cdot 18 x}{0 \cdot 18}=\frac{20 y}{0.18} \\&x=\frac{1000 y}{9}\end{aligned}$$[/tex]
Step 5 of 5 save money car rental need to drive 111.1 miles.
[tex]$$\begin{aligned}&\frac{x}{y}=\frac{1000 y}{9 y} \\&\frac{x}{y}=111.1\end{aligned}$$[/tex]
The triangles are similar. Write a similarity statement for the triangles.
Hope this helps you
.......
A store sells 3 categories of kitchen items: cups, bowls, and spoons. There are 5 typess of cups. 4 types of bowls, and 2 types of spoons. How many different combinations can you buy in this store of: A set of objects fom two different categories?
You can by 24 combinations of items from the store
How to determine the number of combination?The given parameters are:
Cups = 3
Bowl = 4
Spoon = 2
The number of combination is:
Combination = Cups * Bowl * Spoon
So, we have:
Combination = 3 * 4 * 2
Evaluate
Combination = 24
Hence, you can by 24 combinations of items from the store
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I don’t understand this that much
By using the definitions of distance and number line, the distance between a and b on the number line is 10.97 units, not 0.47 units. (Right choice: A)
What choice is wrong about two integers?
Herein we must determine what choice is false with respect to two integers, one negative and other positive. The first choice represents a false proposition as:
|a - b| = |- 5.72 - 5.25| = |- 10.97|
|a - b| = 10.97
By using the definitions of distance and number line, the distance between a and b on the number line is 10.97 units, not 0.47 units. (Right choice: A)
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A beauty supply store surveyed 1,000 customers to determine which of 3 brands of concealer they like the best. 335 customers chose Brand A, 402 customers chose Brand B, while 263 customers chose Brand C. What percent of customers chose Brand B? Round off your answer to the nearest tenths place.
40.2 percent of the customers at the beauty supply store choose brand B.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The percent of customers that choose brand B = (number of brand B customers / total number of customers) * 100%
The percent of customers that choose brand B = (402/1000) * 100% = 40.2%
40.2 percent of the customers at the beauty supply store choose brand B.
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A princess has two pet dragons. The dragons can eat 300kg of chocolate in 12 days. How many DAYS will the same 300kg last if got 4 more dragons for her birthday?
The chocolate will last for 1 day, if she gets 4 more dragons
How to determine the number of days?The expression can be represented using the following ratio:
Ratio = Dragons : Days : Chocolate
For the 2 dragons she has, we have:
Ratio = 2 : 12 : 300
When she gets 4 more dragons, we have:
Ratio = 6 : days : 300
Equate both ratios
6 : days = 12 : 2
Express as fraction
days/6 = 2/12
Multiply both sides by 6
days = 6 * 2/12
Evaluate
days = 1
Hence, the chocolate will last for 1 day
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Which expression is equivalent to the following complex fraction? StartFraction 2 Over x EndFraction minus StartFraction 4 Over y EndFraction divided by StartFraction negative 5 Over y EndFraction + StartFraction 3 Over x EndFraction StartFraction 3 y + 5 x Over 2 (y minus 2 x) EndFraction StartFraction 2 (y minus 2 x) Over 3 y minus 5 x EndFraction StartFraction 2 (y minus 2 x) (3 y minus 5 x) Over x squared y squared EndFraction StartFraction x squared y squared Over 2 (y minus 2 x) (3 y minus 5 x) EndFraction
The equivalent expression of [tex]\frac{\frac 2x - \frac 4y}{-\frac 5y + \frac 3x}[/tex] is [tex]\frac {2(y - 2x)}{ 3y-5x}[/tex]
How to determine the equivalent expression?The complete question is in the attached image
We have:
[tex]\frac{\frac 2x - \frac 4y}{-\frac 5y + \frac 3x}[/tex]
Take the LCM
[tex]\frac{\frac {2y - 4x}{xy}}{\frac{-5x + 3y}{xy}}[/tex]
Divide through by xy
[tex]\frac {2y - 4x}{-5x + 3y}[/tex]
Rewrite as:
[tex]\frac {2y - 4x}{ 3y-5x}[/tex]
Factor out 2
[tex]\frac {2(y - 2x)}{ 3y-5x}[/tex]
Hence, the equivalent expression of [tex]\frac{\frac 2x - \frac 4y}{-\frac 5y + \frac 3x}[/tex] is [tex]\frac {2(y - 2x)}{ 3y-5x}[/tex]
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Cassandra already has $224 in a bank account.
She decides to save more by depositing $18 each week.
The amount of his savings M depends on the number of weeks elapsed n .
This relationship is represented using the equation M = 18n + 224.
Graphically, how would the line of this relationship change if Cassandra deposited $14 a week?
Please choose an answer.
The line will undergo a downward vertical translation.
The line will undergo a vertical translation upwards.
The inclination of the line will decrease.
The inclination of the line will increase.
Answer:
the inclination of the line will decrease
Step-by-step explanation:
If Cassandra changes the amount she deposits from 18 to 14, the slope changes to 14. So the new equation is M=14n + 224. The 224 is still the same, because that is the initial amount, and the new situation hasn't said anything about changing that, so it will not have any vertical translations. With that being said, as a result the slope will be less, so you can see it as "less vertical", so the inclination of the line will decrease
Place the following equation into quadratic form.
-7 = (x + 8)^
The representation of the equation as a standard quadratic equation is given by:
x² + 16x + 71 = 0.
What is the standard representation of a quadratic equation?The standard representation of a quadratic equation is given by:
ax² + bx + c = 0.
In this problem, the equation is:
-7 = (x + 8)²
Then:
x² + 16x + 64 = -7.
x² + 16x + 71 = 0.
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You enter a room. 2 dogs, 4 horses, 1 giraffe and a duck lie on the bed. 3 hens fly over a chair. How many legs are there on the floor?.
Answer:
38 legs
Step-by-step explanation:
dog=4 legs
horse=4 legs
giraffe= 4 legs
duck = 2 legs
2x4+4x4+1x4+1x2
8+16+4+2=38
Using a significance level of 5%, the appropriate conclusion for a test with a p-value of 0.0421 would be:
A significance level of 5% (more commonly referred to as 95%) corresponds to a statement that (only) a probability of 5% or less is that a particular randomly generated observation is accepted as significant.
In this example, the p-level (the true probability that the observations are randomly generated) is less than 5% (0.0421 <0.05), so we can draw the conclusion that the observations are significant.
p = 0.0421 means that the probability is only 0421/1000. The choice of significance level to reject the null hypothesis is optional. Traditionally, 5%, 1%, and 0.1% levels have been used. In rare situations, a 10% significance level is also used.
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A local ice cream store sells three flavors of ice cream during a busy summer month. During this month, there were 566 orders of vanilla ice cream, 400 orders of strawberry ice cream, and 1,224 orders of chocolate ice cream. What is the experimental probability that strawberry ice cream was ordered during this month?
answer options:
204/365
14/207
40/219
283/1095
Write the ratio of sin X and cos X
Show your work
(20 points)
Answer:
see explanation
Step-by-step explanation:
sinX = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{YZ}{XY}[/tex] = [tex]\frac{\sqrt{119} }{12}[/tex]
cosX = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{XZ}{XY}[/tex] = [tex]\frac{5}{12}[/tex]
The product of two consecutive positive integers is 194 more than the next integer. What is the largest of the three integers?
Answer:
16
Step-by-step explanation:
let x be a positive integer
mathematically, the statement: “The product of two consecutive positive integers is 194 more than the next integer” means x(x + 1) - 194 = x + 2
………………………………
Solving the equation x(x + 1) - 194 = x + 2 for x :
x(x + 1) - 194 = x + 2
⇔ x² + x - 194 = x + 2
⇔ x² - 194 = 2
⇔ x² = 196
⇔ x = 14 or x = -14
Since -14 < 0 then the solution to our equation is x = 14
Therefore
The largest integer of the three is x + 2 = 14 + 2 = 16
Verification:
14 × 15 − 194 = 210 − 194 = 16
Please help its very hard
This histogram is skewed to the left and its distribution's center would be three (3).
What is a histogram?A histogram is used to graphically represent a set of data points into user-specified ranges, especially through the use of rectangular bars.
In this scenario, we can infer the following about the histogram distribution's center, spread, and overall shape:
This histogram is skewed to the left.Its distribution's center would be three (3). The spread implies that more students are between 58-59 and 60-61 inches.The shape shows that many of the values are at the lower end.Read more on histogram here: brainly.com/question/21304143
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giúp mik vs=)) mik đang cần gấp
Answer:
c
Step-by-step explanation:
40 points! Pre calc questions, thanks for your help :)
The x intercept is ( 7π/12 , 11π/12 , 19π/12 ,23π/12) , Option B is the correct answer.
What is x intercept of a function ?The x intercept is the point at which the function intersects the x axis , the point at which y = 0
The given function is
g(x) = 2sin2x +1
g(x) = 0 , for x intercept
2sin2x +1 = 0
sin 2x = -1/2
Therefore in the interval ( 0 , 2π) , the x intercept is ( 7π/12 , 11π/12 , 19π/12 ,23π/12)
This can also be seen in the graph attached.
Option B is the correct answer.
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What are the solutions to the equation x2−12x+100=0?
Answer:
[tex]x=6+8i[/tex]
[tex]x=6-8i[/tex]
Step-by-step explanation:
[tex]x^2-12x+100=0[/tex]
solve by quadratic formula.
[tex]\frac{-b+-\sqrt{b^2-4(a*c)} }{2*a}[/tex]
[tex]\frac{12+\sqrt{(-12)^2-4*(1*100)} }{2*1}[/tex]
[tex]\frac{12-\sqrt{(-12)^2-4*(1*100)} }{2*1}[/tex]
which is
[tex]x=\frac{12+16i}{2}[/tex]
[tex]x=\frac{12-16i}{2}[/tex]
Simplify.
[tex]x=6+8i[/tex]
[tex]x=6-8i[/tex]
Solved.
Hope this helps.
How do I find circle arcs
Answer:
the arc length of a circle can be calculated with the radius Central angle using the arc length formula
1 length of an hour is equal to zero into hour where zero is in radian
2 length of an art is equal to zero into ratio upon 180 into hour where zero is in degree
By the congruent supplements theorem, what can you conclude? anglecbg is-congruent-to angledbg anglefbc is-congruent-to angledbg anglecbg is supplementary to angledbf. anglefbc is supplementary to angledbg.
By the Congruent Supplements Theorem, we can conclude that,
∠FBC ≅ ∠DBG.
What is Congruent Supplements Theorem?
The Congruent Supplements Theorem states that two angles are said to be congruent if they are supplements of the same angle or even congruent angles.
If there are 4 lines such that, right angles are created when a horizontal line with the points F, B, and G crosses a vertical line with the points A, B, and E at point B. Between angles F and B and A and G, a third diagonal line with the points D, B, and C is intersecting the other two lines at point B. At points A, C, and G, there is a fourth line that joins three other lines.
Drawing Conclusion
In case the angle FBC and angle CBG are supplementary angles, angle DBG and angle DBF are another pair of supplementary angles, and angle CBG is-congruent-to angle DBF, we can apply congruent supplement theorem and draw the following inference,
∠FBC ≅ ∠DBG
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Answer: tis B :D
Step-by-step explanation:
An angle measures 76.8° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
128.4°, 51.6°
Step-by-step explanation:
x + x - 76.8 = 180
2x = 256.8
x = 128.4
x - 76.8 = 51.6
Express the following linear equations in the form ax + by + c = 0 and indicate the values of a , b , c in each case :
i ) -2x + 3y = 6
ii) 2x = -5y
[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Let's solve ~
Question - 1 :
[tex]\qquad \sf \dashrightarrow \: - 2x + 3y = 6[/tex]
[tex]\qquad \sf \dashrightarrow \: - 2x + 3y - 6[/tex]
[tex]\qquad \sf \dashrightarrow \: (- 2)x + (3)y + (- 6)[/tex]
comparing it to general equation, we get :
[tex] \sf\dashrightarrow \: a = - 2[/tex][tex] \sf\dashrightarrow \: b = 3[/tex][tex] \sf\dashrightarrow \: c= - 6[/tex]Similarly,
Question - 2 :
[tex]\qquad \sf \dashrightarrow \: 2x = - 5y[/tex]
[tex]\qquad \sf \dashrightarrow \: 2x + 5y = 0[/tex]
[tex]\qquad \sf \dashrightarrow \: (2)x + (5)y + 0 = 0[/tex]
comparing it with general equation, we get :
[tex] \sf\dashrightarrow \: a = 2[/tex][tex] \sf\dashrightarrow \: b = 5[/tex][tex] \sf\dashrightarrow \: c = 0[/tex]In a board game, negative number cards represent moving backward and positive number cards represent moving forward. For example, Nuha drew a card with 444 and moved forward 444 spaces.
Raha draws a card with 000.
What does 000 represent in the board game?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
The number of spaces she moved on her last turn.
(Choice B)
B
Not moving any spaces.
(Choice C)
C
Losing all points.
Answer:
not moving any spaces
22. A house is sliding down a mountain. It moves one inch the first day, two more inches the
second day, four more inches the third day, etc. What is the total distance it will have moved in 15
days? Convert your unit of measure to a more reasonable one
Please help me I’ll mark you brainlest
The house would have slid 910 yards in 15 days.
What is a Geometric progression?A geometric progression is a sequence in which successive terms differ by a common ratio.
It is a sequence in which the ratio of two consecutive terms is a constant.
Analysis:
first term, a= 1
second term, ar = 2
third term, ar^2= 4
common ratio = ar/a = 2/1 = 2
Sum of the G.P where n = 15
sum of G.p = a([tex]\frac{r^{n} - 1}{r-1}[/tex])
= 1([tex]2^{15}[/tex] - 1)/2 - 1 = 32768 - 1 = 32768 inches
converting the inches to yard, where 1 yard = 36 inches
so 32768/36 = 910 yards
In conclusion, the house would slide 910 yards in 15 days.
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What is the slope of the line passing through the points (1, 2) and (5, 4)?
[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]
What is the slope of the line passing through the point (1,2) and (5,4)
[tex]\Large\maltese\underline{\textsf{This problem has been solved!}}[/tex]
Formula used, here [tex]\bf{\dfrac{y2-y1}{x2-x1}[/tex]
_______________________________________________________
[tex]\bf{\dfrac{4-2}{5-1}[/tex] | simplify
[tex]\bf{\dfrac{2}{4}[/tex] | reduce
[tex]\bf{\dfrac{1}{2}[/tex]
[tex]\rule{300}{1.7}[/tex]
[tex]\bf{Result:}[/tex]
[tex]\bf{=Slope:\dfrac{1}{2}[/tex]
[tex]\boxed{\bf{aesthetic\not101}}[/tex]
Answer:
1/2
Step-by-step explanation:
Subtract the second point on the you axis and
Find an equation for the line that passes through the points (4, -3) and (-2, 5)
Step-by-step explanation:
* start by finding the gradient/ slope of the line using the two points*
after finding the gradient you can now use the formula/ equation of any straight line which is *y = m×x + c*
helpppp quick pointssss
Answer:
x = - 6
Step-by-step explanation:
Evaluate the function rule for the given value. f(x) = 3x for x = –4
Answer:
f(x)=-12
Step-by-step explanation:
Since x=-4 substitute -4 into the equation
f(x)=3*-4
f(x)=-12
Hope this helped!