Answer:
Diagram attached
AJ = 8.75 in.
Step-by-step explanation:
Since triangles HBA & HKJ are similar,
BH/AH = KH/JH
3 in /5.25 in = 8 in /JH
JH = 14 in
JA = JH - AH = JH - 5.25 in = 8.75 in
HJ = 14 in.
AJ = 14 in - 5.25 in
AJ = 8.75 in.
Tessa drew a scale drawing of the elementary school. She used the scale 1 centimeter : 7 meters. The school yard is 7 centimeters in the drawing. How wide is the actual school yard?
Answer:
see below PLEASE GIVE BRAINLIEST
Step-by-step explanation:
If 1cm = 7m
then:
7c = 49m
six more than seven times a number is less than three times the number decreased by fourteen. FInd the numbers that make this true
Answer:
find below
Step-by-step explanation:
7x-6 = 3x-14
4x = -8
x = -2
-2*7-6 = -14-6 = -20
-2*3-14 = -6-14 = -20
Which inequality is true? A. |-15| > |-19| B. |-16| < |13| C. |-15| > |12| D. |12| < |-8| E. |-19| > |-20|
Answer: C
Step-by-step explanation: |-15| is 15. |12| is 12. 15 is greater then 12.
A box of cany holds 34 pieces when fiest opened. The box is 3/8 full. How many pieces of candy have been eaten?
Answer:
21.25 pieces of candy have been eaten.
Step-by-step explanation:
Pretty much, we have to start by finding how many times 8 can go into 34, which is 4.25. So if we are subtracting the whole from three eighths, 3/8 will equal 12.75/34. 34-12.75= 21.25. Therefore, 21.25 pieces of candy have been eaten.
What number is the substitution of 4(3x+9) and 5x+8
Answer:
-4
Step-by-step explanation:
If the question is for which x the equations 4(3x+9) and 5x+8 produce the same answer, the answer is x=-4
4(3x+9) = 5x+8
12x + 36 - 5x - 8 =0
7x = -28
x = -4
need help with these questions. show work to plzzzz
[tex]2.\\k(x)=2x^2-3\sqrt{x}\\\\k(9)\to\text{put the value of x = 9 to the equation of the function:}\\\\k(9)=2(9)^2-3\sqrt9=2(81)-3(3)=162-9=153\to\boxed{(4)}\\\\3.\\3(x^2+2x-3)-4(4x^2-7x+5)\qquad\text{use distributive property}\\\\=(3)(x^2)+(3)(2x)+(3)(-3)+(-4)(4x^2)+(-4)(-7x)+(-4)(5)\\\\=3x^2+6x-9-16x^2+28x-20\qquad\text{combine like terms}\\\\=(3x^2-16x^2)+(6x+28x)+(-9-20)\\\\=-13x^2+34x-29\to\boxed{(2)}[/tex]
[tex]4.\\p(x)=x^2-2x-24\\\\x^2-2x-24=0\\\\x^2+4x-6x-24=0\\\\x(x+4)-6(x+4)=0\\\\(x+4)(x-6)=0\iff x+4=0\ \vee\ x-6=0\\\\x=-4\ \vee\ x=6\to\boxed{(3)}[/tex]
Please help
The tape diagram
what the simplified of 2/3 dived by 2/9
Answer:
3
Step-by-step explanation:
Divide [tex]\dfrac{2}{3}[/tex] by [tex]\dfrac{2}{9}:[/tex]
[tex]\dfrac{2}{3}:\dfrac{2}{9}=\dfrac{2}{3}\cdot \dfrac{9}{2}=\dfrac{2\cdot9}{3\cdot 2}=\dfrac{9}{3}=3.[/tex]
The candy machine in the bookstore has five rows to choose from with six items in each row. Currently, there are seven items that are sold out. If Ari randomly pushed a button, what is the probability he will select an item that is already sold out?
Answer:
23.3%
Step-by-step explanation:
so 5 by 6 is 30
so to find the fraction or desimal or persent u need to put 7/30
and that would be .23 reapeating then time it by 100 to get
23.3% ps the 3 is reapeating
Final answer:
The probability that Ari will select a sold-out item is 7/30 or approximately 23.33%.
Explanation:
The question asks about the probability that Ari will select an item that is already sold out from a candy machine with a certain configuration and number of sold-out items. To calculate this probability, we need to know the total number of items in the machine and how many are sold out.
There are five rows with six items each, giving a total of 30 items. With seven items sold out, there are 30 - 7 = 23 items available for purchase. The probability of selecting a sold-out item is the number of sold-out items divided by the total number of items. In this case, it's 7/30, which simplifies to 7/30.
So, if Ari randomly pushes a button on the candy machine, the probability that he will select an item that is already sold out is 7/30, or approximately 23.33%.
Emily thinks the perfect tomato sauce has 8 cloves of garlic in every 500 mL of sauce. Raphael's tomato sauce has 12 cloves of garlic in every 900 mL of sauce.
A) its too garlicky
B) its not garlicky enough
C)it is perfect
Answer:
B) Not Garlicky enough.
Step-by-step explanation:
You divide 500 by 8 to make it a unit. Then multiply that by 12. That equals 750. Therefore there is not enough garlic.
1/2 x 4 + 1/2 x Z
A. 4(1/2 + Z)
B. Z(1/2 x 4)
C. 1/2 x (4 + 1/2) x Z
D. 1/2(4 + Z)
Answer:
D. 1/2(4 + Z)
Step-by-step explanation:
1/2 x 4 + 1/2 x Z
We can factor out a 1/2 since it is in both terms
1/2 (4+z)
[tex]\dfrac{1}2{\times4+\dfrac{1}{2}\times z=\boxed{\dfrac{1}{2}}\times4+\boxed{\dfrac{1}{2}}\times z=\boxed{\dfrac{1}{2}}\times(4+z)}\\\\Answer:\ \boxed{D.\ \dfrac{1}{2}(4+z)}[/tex]
Find the value of x so that the line m is parallel to line I.
Find the value of y when x = 4 in the equation 4x - 2 = y + 5 Show your work help
refurbished phone 30% off now only 78£ how much was the phone before
Answer:
120 pounds
-hope this helps
Answer:
£111.43
Step-by-step explanation:
100% represents the original cost of the phone
30% off is then (100 - 30) = 70% of the original cost
divide the cost by 70 to find 1% then multiply by 100 for original cost
original cost = [tex]\frac{78}{70}[/tex] × 100 = £111.43
solve for x in the triangle
tan(angle) = opposite/adjacent
tan(37) = x/14
14*tan(37) = x
x = 14*tan(37)
x = 10.5497567
x = 10.5
Answer: 10.5
William was going to sell all his stamp collection to buy a video game. After selling half of them he changed his mind. He then bought 6 more. How many did he start with if he now has 32?
Answer:52 stamps
Step-by-step explanation: He has 32 now. You subtract 6, as he bought 6 more. Then you double this as he sold half. That gives you 52
Starting with the equation (x/2) + 6 = 32, we solve for x to find that William originally had 52 stamps in his collection.
Explanation:Let's use algebra to solve the problem William faced with his stamp collection. We can let the variable x represent the original number of stamps William had. According to the question, he sold half of his stamps and then bought 6 more, ending up with 32 stamps. This can be expressed as the equation (x/2) + 6 = 32. To find the original number, we solve for x:
(x/2) + 6 = 32(x/2) = 32 - 6(x/2) = 26x = 26 * 2x = 52Therefore, William started with 52 stamps in his collection before he sold any to consider buying a video game.
Learn more about Original Number of Stamps here:https://brainly.com/question/14580090
#SPJ2
write an equation of the line that passes through (2,-5) and is parallel to the line 2y=3x+10
Answer:
y=3/2+5
Step-by-step explanation:
Answer:
[tex]\frac{3}{2}x^{2} +5x-21[/tex]
Step-by-step explanation:
put into y=mx+b form
Charlie guesses that his dog weighs 34.5 pounds. The dog actually weighs 32.7 pounds.
What is the percent error in Charlie’s guess, to the nearest tenth of a percent?
A: 0.05%
B: 0.5%
C: 5.2%
D: 5.5%
Answer:
d 5.5
Step-by-step explanation:
Answer:
D: 5.5%
Step-by-step explanation:
A rescue helicopter is used to help victims who fell in a ditch. The helicopter begins at sea level, which is an elevation of 0 feet. It then travels down for 100 seconds at a speed of 10.5 feet per second. It then travels directly up for 150 seconds at a speed of 5.2 feet per second. After this 250 second period, how much time, in seconds, will it take for the rescue helicopter to travel back to sea level at the helicopter's maximum speed of 15.8 feet per second?
Answer:
17 seconds
Step-by-step explanation:
The rescue helicopter travels down for 100 seconds at a speed of 10.5 feet per second.
So, the distance it covered = 100(10.5) = 1050 feet.
It then travels directly up for 150 seconds at a speed 5.2 feet per second.
So, the distance = 150(5.2) = 780 feet
Now, the distance from sea level = 1050 - 780 = 270 feet.
It will reach this distance with a maximum speed of 15.8 feet per second.
Hence, the time required to reach this distance = [tex]\frac{distance}{speed}[/tex]
= [tex]\frac{270}{15.8}[/tex]
≈ 17 seconds
Out of 75 students, 15 are on the student council. What percent of the students are NOT on the student council?
Answer: 80%
15 are on the council, so 75-15 = 60 are not on the council. Therefore, 60/75 = 0.80 = 80% of the students aren't on the council.
An alternative way to find this answer is to compute 15/75 = 0.20 = 20% showing that 20% of the students are on the council, so 100% - 20% = 80% are not on the council.
To find the percent of students not on the student council, subtract the number of students on the council from the total number of students and calculate the percentage.
Explanation:To find out what percent of the students are NOT on the student council, we need to subtract the number of students who are on the student council from the total number of students and then calculate the percentage.
Number of students on the student council: 15
Total number of students: 75
Number of students NOT on the student council: 75 - 15 = 60
Percentage of students NOT on the student council: (60/75) * 100 = 80%
Learn more about Percentage of students not on the student council here:https://brainly.com/question/36141309
#SPJ11
What is the answer to linear equation: 9t = -3
Answer:
-3
Step-by-step explanation:
Anything that is negative multiplied by a negative is a positive so knowing this, you can multiply -3*-3=9 or divide 9/-3=-3
Hope this helps
<> Anna <>
Answer:
The answer to linear equation 9t=-3 is t = - (1/3)
Step-by-step explanation:
9t=-3
Solving for t: Dividing both sides of the equation by 9:
9t/9=-3/9
t=-(3/9)
Simplifying the fraction on the right side of the equation dividing the numerator and denominator by 3:
t = - (3/3) / (9/3)
t = - (1/3)
Which is an example of dealer incentives? A. Sun car dealers pay $18,000 to Galaxy car manufacturers for a car worth $20,000. B. Sun car dealers pay $21,000 to Galaxy car manufacturers for a car worth $20,000. C. Sun car dealers pay $20,000 to Galaxy car manufacturers for a car worth $20,000.
Answer: A. Sun car dealers pay $18,000 to Galaxy car manufacturers for a car worth $20,000.
Step-by-step explanation:
Hi, "dealer incentives" for this case mean that a car dealer pays a reduced price for a car. This incentive allows the car dealer to make a profit.
To be an example of dealer incentive the option must state that the car dealer makes a profit.
So, with this information analyzed the correct option is A."Sun car dealers pay $18,000 to Galaxy car manufacturers for a car worth $20,000" because this option states that the Sun car dealers make a profit of $2000.
Feel free to ask for more if it´s necessary or if you did not understand something.
Molly basic cell phone plan charges $35.99 for service plus $0.18 per minute beyond the included 250 minutes in the plan. How much will it cost Molly if she used her cell phone for 390 minutes in one month?
Answer: Her cell phone bill will cost her $61.19
Step-by-step explanation: If it cost 0.18 per min make sure you read the question right
Jake sold 36 tickets at the school fair, and Jeanne sold 15 tickets. What is the ratio in simpilest form, of the number of tickets Jeanne sold to the number of tickets Jake sold.
Answer:
12:5
Step-by-step explanation:
We want to find the ratio of Jeanne's tickets to Jake's tickets
Jeanne's tickets: Jake's tickets
15:36
We can simplify this ratio by dividing each side by 3
15/3:36/3
5:12
Answer:
Step-by-step explanation:
15:36
simplifies to
5:12
Jeanne: Jake
Please help with this word problem
Please answer question ASAP!!!!
Points I will give:25
The results for a survey of 130 students who were selected randomly are listed below:
•70 students have a cell phone plan with company X
•32 students have a cell phone plan with company Y
•28 students do not have a cell phone
The total population of students was 390. Based on the data, what is the best approximation for the total number of students who have a cell phone plan with company X?
A) 210
B) 96
C) 84
D) 724
Answer:
A) 210
Step-by-step explanation:
The percentage of students who have a cell phone plan with company x is student with plan x over total.The total is 130
P(x) = 70/130
The number of students with cell phone company x is found by multiplying the total number of students times the percentage of students with company x
Students with company x = total * P(x)
= 390 * 70/130
= 210
Answer:
A) 210
Step-by-step explanation:
70 students have company X, out of the sample size 130. This forms the fraction 70/130.
n students have company X, out of the population 390. The n is simply a placeholder for a number. This forms the fraction n/390
Equate the two fractions, cross multiply, then divide both sides by 130 to solve for n
Doing all that gives us the following
70/130 = n/390
70*390 = 130*n ..... cross multiply
27300 = 130n
130n = 27300
130n/130 = 27300/130 ...... divide both sides by 130
n = 210
Out of the entire population, the best approximation to the number of students who have company X is 210 people.
A local amusement park charges $21.50 per daily adult ticket and $14.75 per daily child's ticket. A group of 12 people paid $204.00 for tickets. Which system of equations could be used to find x, the number of adult tickets purchased, and y, the number of children's tickets purchased
Answer:
[tex]x+y=12[/tex]
[tex]21.50x+14.75y=204[/tex]
Step-by-step explanation:
Let x be the number of adult tickets and y be the number of children's tickets.
We are given that there are total 12 people. Therefore, we can set:
[tex]x+y=12[/tex]
Moreover, we are given that an adult ticket costs $21.50 and a child's ticket costs $14.75, therefore, cost of x adult tickets will be [tex]21.50x[/tex] and cost of y children's ticket will be [tex]14.75y[/tex]. We can form the second equation by setting the total cost of tickets as:
[tex]21.50x+14.75y=204[/tex]
Therefore, the required system of equations that could be used to find x and y will be:
[tex]x+y=12[/tex]
[tex]21.50x+14.75y=204[/tex]
Answer:
[tex]x+y = 12[/tex]
[tex]21.50x+14.75y=204.00[/tex]
Step-by-step explanation:
Given :
A local amusement park charges $21.50 per daily adult ticket and $14.75 per daily child's ticket.
Group of 12 people paid $204.00 for tickets.
To Find : System of equations could be used to find x, the number of adult tickets purchased, and y, the number of children's tickets purchased.
Solution :
Since group contains 12 people so no. of tickets are 12 .
Let out of 12 people no. of adults's tickets are x.
Let out of 12 people no. of children's ticket are y .
⇒[tex]x+y = 12[/tex]
Since charge of one adult ticket = $21.50
So, charge of x adult tickets = $21.50 x
Since charge of one child ticket = $14.75
So, charge of y children tickets =$14.75 y
And we are given that total amount paid by these 12 people = $204.00
Thus [tex]21.50x+14.75y=204.00[/tex]
Hence , System of equations could be used to find x, the number of adult tickets purchased, and y, the number of children's tickets purchased:
[tex]x+y = 12[/tex]
[tex]21.50x+14.75y=204.00[/tex]
FIRST ANSWER WILL BE BRAINLIEST!!
prove that the sum of the measures of the interior angles of a triangle 180 degrees be sure to create and name in the appropriate geometric figures
Answer:
Step-by-step explanation:
if ABC is a triangle then <]ABC + <}BCA +<}CAB = 180 degrees
Poof:
Draw line a through points A and B. Draw line B through point C and parallel to line a
Since line a and b are parallel <] BAC = <] B'CA and <]ABC = <}BCA'.
it is obvious that <}B'CA + <}ACB + <]BCA' = 180 degrees
Thus <]ABC + <)BCA + <)CAB = 180 degrees
Lemma:
if ABCD is quadrilateral and <)CAB = <}DCA then AB and DC are parallel.
Step-by-step explanation:
Consider a triangle ABC and let ∠A + ∠B + ∠C = 180°
Construct a straight line DE running parallel to BC and passing though A.
Now let
∠BAC = 1
∠ABC = 2
∠ACB = 3
∠DAB = 4
∠EAC = 5
Therefore we know that
∠DAB = ∠ABC (alternate angles), so 4 = 2
∠EAC = ∠ACB (alternate angles), so 5 = 3
Now line CE is straight line and we know that angle for a straight line 180°.
Thus ∠DAB + ∠BAC + ∠EAC = 180°
or ∠ABC + ∠BAC + ∠ACB = 180°
or ∠A + ∠B + ∠C = 180°
Thus proved.
Solve for X
8^3x-10 =4^6x-27
Thanks in advance!
[tex]8^{3x-10}=4^{6x-27}\\\\(2^3)^{3x-10}=(2^2)^{6x-27}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{3(3x-10)}=2^{2(6x-27)}\qquad\text{use distributive property}\\\\2^{(3)(3x)+(3)(-10)}=2^{(2)(6x)+(2)(-27)}\\\\2^{9x-30}=2^{12x-54}\iff9x-30=12x-54\qquad\text{add 30 to both sides}\\\\9x=12x-24\qquad\text{subtract 12x from both sides}\\\\-3x=-24\qquad\text{divide both sides by (-3)}\\\\\boxed{x=8}[/tex]