Answer:
Step-by-step explanation:
These two equations are not equivalent. 2(x+10) can be simplified to 2x+10, which would not be equal to 6x+10. So, the answer to your question would be false.
2) AABCD ~ AEFGH
Use the information given to find the missing side of a figure
A)
3
x + 3
F)
x+4
E)
C)
5
B)
>H)
Answer:
Step 1: Judging by the relative lengths of the sides of the two triangles, we can conclude that A corresponds to T, B to S, and C to R, which we can write as
△
A
B
C
∼
△
T
S
R
.
In particular, the smallest sides
A
B
and
T
S
are corresponding sides with known lengths, so we form the ratio of their side lengths
9
15
. Remember that all ratios of corresponding side lengths are equal.
Step 2: Next we form a ratio that involves
x
. Since
B
C
and
S
R
are corresponding sides, we know that the ratio of their side lengths equals the ratio from Step 1:
18
x
=
9
15
Step 3: Finally, we cross-multiply and solve for
x
:
x
⋅
9
=
18
⋅
15
9
x
=
270
x
=
270
9
=
30
That is, the missing side length is 30.
Find the simple interest and the future value for principal amount $6000, rate 4%, and time 1 year. The simple interest is $The future value is $
We have the following equation to find the simple interes:
[tex]I=P\cdot n\cdot r[/tex]where P is the principal amount, r is the rate and n is the time period.
In this case, we have the following:
[tex]\begin{gathered} P=6000 \\ n=4\%=0.04 \\ n=1 \\ \Rightarrow I=6000\cdot0.04\cdot1=240 \\ I=240 \end{gathered}[/tex]thus, the interest after 1 year is $240.
To find the future value, we can add the interest to the principal amount to get:
[tex]F=6000+240=6240[/tex]therefore, the future value is $6240
Can someone help me on Rate of change
Answer:
slope is cost per hamburger, $3.00.total cost is $15.50.initial cost is ticket price, $3.50.Step-by-step explanation:
Given incorrect statements regarding cost relationships involving tickets and hamburgers at a basketball game, you want the corrected versions.
Each given relation involves two elements of the costs in the given situation. The incorrect relation can be resolved two ways: changing one of the elements, or changing the other one.
a. slope = total costThis can be corrected by identifying what the slope represents:
The slope represents Arlie's cost per hamburger.
Or, by saying what represents total cost.
The value of the cost function represents total cost.
b. total cost = $12This can be corrected by identifying the cost of 4 hamburgers:
If Arlie buys 4 hamburgers, his cost of hamburgers will be $12.
Or, by saying what the total cost is with 4 hamburgers:
If Arlie buys 4 hamburgers, his total cost is $15.50.
c. initial cost = price per burgerThis can be corrected by identifying Arlie's initial cost at the game:
Arlie's initial cost at the game is the price of the ticket.
Or, by saying the price per burger:
Arlie found that $3.00 at the game is the price per burger.
Jenny's school is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 6 senior citizen tickets and 4 student tickets for a total of $118. The school took in $258 on the second day by selling 14 senior citizen tickets and 8 student tickets. Find the price of a senior citizen ticket and the price of a student ticket.
The cost of tickets for senior citizen and students are $11 and $13 respectively.
System of equationsTo solve this problem, we have to write out system of equations and solve the value of the unknown.
Let;
x = senior citizen tickety = student tickets.We can express the problem mathematically as;
[tex]6x + 4y = 118..eq(i)\\14x + 8y = 258 ...eq(ii)[/tex]
Solving for x and y;
[tex]6x + 4y = 118..eq(i)\\14x + 8y = 258 ...eq(ii)\\x = 11, y = 13[/tex]
From the calculations above, the value of x and y are 11 and 13 respectively.
Learn more on system of equations here;
https://brainly.com/question/13729904
#SPJ1
how long will it take for them to get the same number of followershow many followers will they have
Answer:
Explanation:
Let's refer to 1st the handle as A and the 2nd handle
20 POINTS IF U ANSWER ALL PLEASE
1.The two sides of the triangle that form the right angles. Are always the two shortest lengths given - Legs
2.The sides that's opposite the right angle. The length of this is always greater than the length of either leg.- Hypotenuse.
3. The triangle that contains a right angle(90°) - Right triangle.
4.In a right triangle the sum of the squares of the lengths of the legs equals the square of the lengths of the hypotenuse. - Pythagorean Theorem.
What is a right triangle?
If one of the triangle's angles is 90 degrees, the triangle is said to have right angles.The triangle with a right angle is known as a right triangle because a right angle is 90 degrees. Using the Pythagorean rule, it is simple to understand how the different sides of this triangle relate to one another. The greatest side of a right angle is known as the hypotenuse, and it is opposite the right angle.The right triangle's base, altitude, and hypotenuse are added to determine its perimeter.To learn more about right triangles, refer:
https://brainly.com/question/15739772
#SPJ9
What is the correct standard form of the equation of the parabola? Enter your answer below. Be sure to show each step of your work.
The equation of parabola is y = -6x² + 24x - 30
Define Parabola
A symmetrical open plane curve created when a cone and a plane that runs perpendicular to its side collide. Ideally, a projectile travelling under the pull of gravity will travel along a curve similar to this one.
We know the equation of parabola in vertex form,
y = a(x - h)² + k
And , we know the vertex (h, k) = (2, -5) and a = -6
put these values in given equation,
y = a (x - h)² + k
y = -6(x - 2)² + (-6)
y = -6(x² + 4 - 4x) - 6
y = -6x² - 24 + 24x - 6
y = -6x² + 24x - 30
Hence, the equation of parabola is y = -6x² + 24x - 30
To read more about Parabola.
https://brainly.com/question/28094027
#SPJ9
The table shows a proportional relationship.
x 15 9 21
y 5 3 7
Describe what the graph of the proportional relationship would look like.
A line passes through the point (0, 0) and continues through the point (15, 5).
A line passes through the point (0, 0) and continues through the point (7, 21).
A line passes through the point (0, 0) and continues through the point (5, 15).
A line passes through the point (0, 0) and continues through the point (3, 9).
PLS HELP
The statement that describes the graph of the proportional relationship is:
"A line passes through the point (0, 0) and continues through the point (15, 5)."
How the proportional relationship would look like?We have a proportional relationship defined by the following table:
x: 15, 8, 21
y: 5, 3, 7
Remember that a general proportional relationship is given by the formula:
y = k*x
Where k is the constant of proportionality.
If we take x = 0, we always get:
y = k*0
y = 0
So the line always passes through the point (0, 0).
And by using the information on the table, we also know that the line passes through (15, 5), (9,3) and (21, 7).
Then the correct option is:
"A line passes through the point (0, 0) and continues through the point (15, 5)."
Learn more about proportional relations:
https://brainly.com/question/12242745
#SPJ1
In a recent year, 23% of all college students were enrolled part-time. if 6.4 million college students were enrolled part-time that year, what was the total number of college students?
Calculate the breadth of a rectangle with length 140mm and area 98cm2
The breadth of the rectangle is 7cm or 70 mm.
It is given in the question that:-
Area of the rectangle = 98 square cm
Length of the rectangle = 140 mm
We have to find the breadth of the rectangle.
We know that,
1 cm = 10 mm
Hence,
140 mm = 14 cm
Also,
Area of a rectangle = (Length of the rectangle)* (Breadth of the rectangle)
Hence, we can write
98 = 14*(Breadth of the rectangle)
Breadth of the rectangle = 98/14 = 7 cm
Hence, the breadth of the rectangle is 7 cm or 70 mm.
To learn more about Area of a rectangle, here:-
https://brainly.com/question/20693059
#SPJ1
5. Every year 3% of university students drop out of their course at
CleverClogs University. This year 12 people dropped out. How
many people started at the beginning of the year?
Total number of people 400 started at the beginning. To calculate the percentage, divide the value by the total value and multiply the result by 100.
What is meant by Percentage?A percentage is a number or ratio that can be expressed mathematically as a fraction of 100. Divide the number by the whole and multiply by 100 to get the percentage.As a result, the percentage represents a part out of 100. % stands for one hundred percent. The symbol "%" represents it. A percentage is a relative value that represents one-hundredth of a whole. One percent (symbolized 1%) represents one hundredth part; thus, 100 percentTherefore,
Percentage of students dropped = 3%
Number of people dropped this year= 12
To find Total students = (12/3) * 100 = 400
That is to find how many people dropped is = 400 *(3/100) = 12
so we can rearrange the formula .
To learn more about Percentage calculation refer :
https://brainly.com/question/24877689
#SPJ9
Jenna explained that △P1P2Q and △P3P4S are similar triangles. Which best completes Jenna’s explanation?
The possible options that can correctly be used to complete Jenna's statement on the similarity of the triangles includes any of the following;
[tex] \displaystyle{\angle P_1P_2Q \cong \angle P_3P_4S \: and \: \angle P_1QP_2 \cong \angle P_3SP_4 }[/tex][tex] \displaystyle{ \frac{P_1P_2}{P_3P_4} = \frac{P_1Q}{P_3S} \: and \: \angle P_1P_2Q \cong \angle P_3P_4S} [/tex][tex] \displaystyle{ \frac{P_1}{P_3} = \frac{P_2}{P_4} = \frac{Q}{S} }[/tex]What are similar triangles?Similar triangles are triangles that have proportional sides and in which the measure of all the interior angles in one triangle is the same as the measure of the interior angles in the other triangle
Similar triangles are triangles that have
The required conditions that indicates that two triangles similar includes;
Two angles in one triangle are congruent to two angles in the other triangle.The ratio of two sides in one triangle is equal to the ratio of the corresponding two sides on the other triangle, and the inscribed or included angle of the specified two sides in both triangles are also equal The three sides of one triangle have equal proportion to the corresponding three sides of the other triangle.Therefore,
[tex] \triangle P_1P_2Q \sim \triangle \: P_3P_4S[/tex]
When any of the above three conditions are satisfied.
The possible correct options are therefore;
[tex] \angle P_1P_2Q \cong \angle P_3P_4S [/tex] and [tex] \angle P_1QP_2 \cong \angle P_3SP_4 [/tex][tex] \displaystyle{ \frac{P_1P_2}{P_3P_4} = \frac{P_1Q}{P_3S} }[/tex] and [tex] \angle P_1P_2Q \cong \angle P_3P_4S [/tex][tex] \displaystyle{ \frac{P_1}{P_3} = \frac{P_2}{P_4} = \frac{Q}{S} }[/tex]Learn more about similar triangles in geometry here;
https://brainly.com/question/24031436
#SPJ1
Solve for x.
5x +13
x = [?]
X+23.
Answer:
5/2
Step-by-step explanation:
Can you please tell me what to fill in the blank
Use proportions to find the values that must be in the blanks.
For the first blank, 2 is to 5 as the value is to 10:
[tex]\begin{gathered} \frac{2}{5}=\frac{x}{10} \\ x=\frac{2}{5}\cdot10 \\ x=4 \end{gathered}[/tex]The first blank must be filled with 4.
For the second blank, 2 is to 5 as 6 is to the value:
[tex]\begin{gathered} \frac{2}{5}=\frac{6}{x} \\ x=6\cdot\frac{5}{2} \\ x=15 \end{gathered}[/tex]The second blank must be filled with 15.
For the last blank, 2 is to 5 as the value is to 25:
[tex]\begin{gathered} \frac{2}{5}=\frac{x}{25} \\ x=\frac{2}{5}\cdot25 \\ x=10 \end{gathered}[/tex]The last blank must be filled with 10
Using trigonometry what is the value of t
Answer: t≈8.93 units
Step-by-step explanation:
The cosine of an angle (cos) is the ratio of the adjoining leg of a right triangle to the hypotenuse
Hence,
[tex]\displaystyle\\cos56^0 =\frac{5}{t} \\[/tex]
Multiply both parts of the equation by t(t≠0):
[tex]\displaystyle\\cos56^0(t)=\frac{5}{t} (t)\\\\t(cos56^0)=5[/tex]
Divide both parts of the equation by cos56°:
[tex]\displaystyle\\t=\frac{5}{cos56^0} \\\\t\approx\frac{5}{0,56} \\\\t\approx8,93\ units[/tex]
find m
how would i solve these? do i use the exterior angle theorem? pls help
Um maybe try it out then ask for help from the teacher
Find the midpoint of pq with endpoints p(-7,0) and q(1,8). then write an equation of the line that passes through the midpoint and is perpendicular to pq.
Answer:
[tex]y=-x+1[/tex]
Step-by-step explanation:
[tex]midpoint=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
Find the midpoint:
[tex]M=(\frac{-7+1}{2} ,\frac{0+8}{2} )=(-3,4)[/tex]
[tex]slope=\frac{rise}{run} =\frac{y_2-y_1}{x_2-x_1}[/tex]
Find the slope:
[tex]m=\frac{8-0}{1--7} =\frac{8}{8} =1[/tex]
Perpendicular lines have negative reciprocal slopes, therefore:
[tex]m=-1[/tex]
Use the point-slope formula with our new slope and midpoint:
[tex](y-4)=-1(x+3)[/tex]
Distribute -1:
[tex](y-4)=-x-3[/tex]
Add 4 to both sides:
[tex]y=-x+1[/tex]
Which situations can be represented by an exponential function?
The sales at an auction website double each year.
In a stadium section, each row has 3 more seats than the previous row.
The value of a home increases by 7.5% per year.
Karen increases her running distance by 0.5 km per week.
The mathematical expression f(x)=exp or ex denotes the exponential function. A function is said to be an exponential function when the value of the function increases/decreases rapidly.
What is exponential function?The mathematical expression f(x)=exp or ex denotes the exponential function. The word, unless specifically stated differently, normally refers to the positive-valued function of a real variable, though it can be extended to the complex numbers or adapted to other mathematical objects like matrices or Lie algebras.
When the input variable x appears as an exponent in the formula f(x) = ax, an exponential function is indicated. The exponential curve is influenced by both the exponential function and the value of x. x can be any real number in the case when a>0 and a=1 are true.
A function is said to be an exponential function when the value of the function increases/decreases rapidly.The situations that can be represented by an exponential function are:An event organizer finds each year's attendance for the past five years is about 4/5 of the previous year's attendance.A toad population is increasing by about 7.5% each year.The complete question is,
Which situations can be represented by an exponential function? select each correct answer. an event organizer finds each year's attendance for the past five years is about 45 of the previous year's attendance. on the highway, Kareem's car gets 38 mpg. shu fang has $25.75 deducted from her checking account every month. a toad population is increasing by about 7.5% each year?
To learn more about exponential function refer to:
https://brainly.com/question/2456547
#SPJ9
A group of 3 workers needs 20 days to do a certain job. How long would it take a group of 4 workers to do the same job, if each worker performs at the same rate?
A. 24
B. 20
C. 18
D. 15
The time that it will take a group of 4 workers to do the same job, if each worker performs at the same rate is D. 15.
What is an expression?It should be noted that an expression simply illustrates the relationship between the variables that are given.
In this case, the group of 3 workers needs 20 days to do a certain job. Let the time taken for the 4 workers be x. This will bee illustrated as:
3/4 = x/20
Cross multiply.
4x = 3 × 20
4x = 60
Divide
x = 60 / 4
x = 15
They will use 15 days to to the job.
Learn more about expressions on:
brainly.com/question/723406
#SPJ1
Question Simplify the expression. 4(b−6) +19
Answer:
The first thing you need to do is open the bracket
4(b-6)+19
=4b -24 +19
collect like terms
4b=24 -19
4b =5
divide both sides by 4
4b/4=5/4
b=5/4 or 1.25
What part of the expression has a quotient: 5.3t-(20/4)+11
Answer:
(20/4)
Step-by-step explanation:
The term "quotient" implies division, which is present in the (20/4) part of the expression.
(4.2x10^2) + (2.3x10^4)
Answer:
23,420
Step-by-step explanation:
10^2=100
4.2×100=420
10^4=10,000
2.3×10,000=23,000
420+23,000=23,420
There may be more then one answer
Will give brainlest
Answer:
the 3(2m+1m) and 9m.
Step-by-step explanation:
Maria is playing the bean bag toss at the local fair. The game costs $2 to play. Maria has 4 bean
bags to toss into a jar in front of her. The prize she wins is determined by the amount of bean bags
she is able to toss in the jar from 8 ft away.
• If Maria gets all 4 bean bags in the jar she will win a free unlimited rides pass.
• If Maria gets 3 bean bags in the jar she will win a ticket to ride the ferris wheel.
• If Maria gets 2 bean bags in the jar she will win a free bag of cotton candy.
• If Maria only gets 1 bean bag in the jar she does not win a prize.
What is the probability that Maria wins a free unlimited rides pass or a ticket to ride the ferris wheel?
The probability that Maria wins a free unlimited rides pass or a ticket to ride the ferris wheel is C. 7/12.
What is probability?It should be noted that probability simply means the likelihood that an event will occur.
In this case, the probability that Maria gets all 4 bean bags in the jar she will win a free unlimited rides pass is 1/4.
The probability that Maria gets 3 bean bags in the jar she will win a ticket to ride the ferris wheel is 1/3.
Therefore, the probability to get the tickets or ride pass will be:
= P(ride pass) + P(tickets)
= 1/4 + 1/3
= 3/12 + 4/12
= 7/12
Learn more about probability on;
brainly.com/question/25870256
#SPJ1
A nursing student is budgeting for college. he spent $325.00 on books for the first semester, $460.00 on books for the second semester, and $395.00 for the third semester. how much should he budget for books for the fourth semester? round to the nearest whole dollar.
The budget for books for the fourth semester should be $430.
A nursing student is budgeting for college. He spent $325.00 on books for the first semester, $460.00 on books for the second semester, and $395.00 for the third semester.
Amount spent on books for the first semester = $325.00
Amount spent on books for the second semester = $460.00
Amount spent on books for the third semester = $395.00
Difference in amount spent in second semester and first semester = 460.00 - 325.00 = 35
Difference in amount spent in third semester and second semester = 395.00 - 460.00 = 35
The amount spent by a nursing student is increasing by $35 each semester. So,
money needed for books for the fourth semester = 395 + 35 = $430
Thus, $430 should be the budget for books for the fourth semester.
To know more about Mathematical Expressions refer to the link:
brainly.com/question/4344214
#SPJ4
i need to find y can you please solve it for me
Solution
The standard form of a quadratic equation is
[tex]y=ax^2+bx+c[/tex]Lily deposited $10,000.00 into a new savings account that earns 15% interest compounded monthly. How long will it take for the balance to grow to $37,822.00?
Can anyone help me with this?
For the given question the correct order of construction is as follows -
The order is as follows:
Place the compass at A. Draw an arc that intersects both rays of angle A.Lable the points of intersections B and C.Place the compass point at C. Open the compass to the distance between B and C.Use a straightedge to draw a ray with endpoint X.Place the compass point at X and draw an arc intersecting the ray. Mark that point as Y at the intersection.Place the compass at Y and draw an arc. Label the point Z where the two acrs intersect. Use a straightedge to draw XY.What is intersection?
Any two or more lines that cross one another on a plane are said to be intersecting lines. Where the intersecting lines share a common point is known as the point of intersection, and it can be located on all intersecting lines. The junction of lines P and Q at point O is depicted.
To learn more about construction click on the link below:
https://brainly.com/question/25795065
#SPJ13
24x - 30 + 45-81x - 320x + 80
Pls help 20 points thx
