Tamara has 12 pencils. There are three red pencils and p other pencils. Write an equation to represent this situation.
Suppose your heart is beating 72 times per minute. At this rate, how many times will it beat in 15 minutes?
Substitute the given values of the variables into the equation. Write True or False to indicate whether the values make the open sentence true or false. Show all work for solving the problem. Values: x=7,y=0.2,z=22
2x+0.8/y=z-4
Find the slope.
1.) (-4, -18), (-2, -10)
2.) (-19, 3), (7, 16)
rewrite using parentheses to make each statement true
a: 42 + 12 ÷ 6 = 9
b: 33 - 14 1/2 + 3 1/2 = 15
c: 32 ÷ 8 x 2 = 2
all i need to know is where parentheses go.
Triangle ABC has vertices A(5, 3) , B(3, 7) , and C(1, 4) . Triangle ABC is dilated, and the vertices of the image are A′(2.5, 1.5) , B′(1.5, 3.5) , and C′(0.5, 2) . The center of dilation is the origin.
What is the scale factor of the dilation?
0.25
0.5
2
4
I believe the answer would be 0.5
Hope this helps ;}
Answer: The correct answer is (B) 0.5.
Step-by-step explanation: Given that A(5, 3) , B(3, 7) and C(1, 4) are the vertices of ΔABC and A′(2.5, 1.5) , B′(1.5, 3.5) and C′(0.5, 2) are the vertices of ΔA'B'C'.
We are to find the scale factor of the dilation of the centre of dilation is origin.
We know that the scale factor of dilation is given by the following formula:
[tex]S_c=\dfrac{\textup{length of a side of the dilated figure}}{\textup{length of the corresponding side of the original figure}}.[/tex]
We can calculate the lengths of the corresponding sides AB and A'B' of ΔABC and ΔA'B'C' respectively using distance formula as follows:
[tex]AB=\sqrt{(3-5)^2+(7-3)^2}=\sqrt{4+16}=\sqrt{20}=2\sqrt5,\\\\A'B'=\sqrt{(1.5-2.5)^2+(3.5-1.5)^2}=\sqrt{1+4}=\sqrt{5}.[/tex]
Therefore, the scale factor for the dilation is given by
[tex]S_c=\dfrac{A'B'}{AB}=\dfrac{\sqrt5}{2\sqrt5}=\dfrac{1}{2}=0.5.[/tex]
Thus, the required scale factor is (B) 0.5.
In Ms. K’s class, 75% of the students are the boys. There are 18 boys in the class. How many students are in the class?
Find the vertex and x-intercepts for 39x^2+38x+8.
what is this plzz need help for math homework it is very hard
For the total length of the five rods in terms of a is L = 15a.
The formula for the Total Length of Five Rods
Certainly! To find a formula for the total length (L) of the five rods in terms of a, let's denote the lengths of the rods as a, 2a, 3a, 4a, and 5a (since there are five rods, each consecutive rod has a length that is one unit greater than the previous rod). So, the lengths of the rods are:
First rod: a
Second rod: 2a
Third rod: 3a
Fourth rod: 4a
Fifth rod: 5a
Now, to find the total length (L), add up the lengths of all the rods:
L = a + 2a + 3a + 4a + 5a
Combine like terms:
L = (1 + 2 + 3 + 4 + 5) · a
The sum of the first n natural numbers is given by the formula n(n + 1)/2, so in this case:
L = 5 · 6/2 · a
Simplify the expression:
L = 15a
So, the formula for the total length L in terms of a is L = 15a.
The complete question is:
Here are five straight rods.
All measurements are in centimeters.
The total length of the five rods is L" " cm.
Find a formula for L in terms of a.
Write your formula as simply as possible.
write a story problem for 32 divided by 5 so that the question you pose would be answered by 6 2/5
A story problem for the division problem is: 5 friends sharing going on a holiday and the total cost is $32
Writing a story problem for the divisionFrom the question, we have the following parameters that can be used in our computation:
32 divided by 5
Also, we have the result to be
Result = 6 2/5
A story problem for this division is as follows:
Five friends decided to go on a holiday together. After calculating the total cost of $32, they split it evenly, so each friend contributed $6 2/5.
Read more about expressions at
https://brainly.com/question/30492964
#SPJ6
what is the order from least to greatest for 5.934, 59/10, 5 8/9, 5.94
A flagpole is 4meters tall how many centimeters tall is the flagpole
The line plots show the results of a survey of 10 boys and 10 girls about how many hours they spent reading for pleasure the previous week.
Select from the drop-down menus to complete each statement.
A dinner platter is in the shape of a regular decagon. The platter has an area of 161 sqaure inches and a side length of 4.6 inches. What is the area of each triangle? What is the height of each triangle?
jamal purchased a boat for 7/10 of the asking price of $18,950. He had to pay 6.5% sales tax. What was the amount of Jamal's bill?
if 5 bags cost $255.35 how much would 2 bags cost
Answer:
yes 102.14
Step-by-step explanation:
pleasee ill give you brainliest
Camryn practices the trumpet every 11th day and the flute every 3rd day. Camryn practiced both today. How many days until Camryn practices both the flute and trumpet again?
The correct answer is 33 days. The least number of days until Camryn practices both the flute and trumpet again is 33 days.
To determine how many days until Camryn practices both the flute and trumpet again, we need to find the least common multiple (LCM) of the two periods: every 11th day for the trumpet and every 3rd day for the flute.
The LCM of two numbers is the smallest number that is a multiple of both numbers. To find the LCM of 11 and 3, we can list the multiples of each number until we find a common multiple:
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, ...
Multiples of 11: 11, 22, 33, ...
The smallest common multiple of 3 and 11 is 33. Therefore, Camryn will practice both instruments again in 33 days.
Alternatively, we can calculate the LCM using the prime factorization of the two numbers. Since 3 is a prime number and 11 is also a prime number, the LCM is simply the product of the two:
LCM(3, 11) = 3*11 = 33
Thus, the least number of days until Camryn practices both the flute and trumpet again is 33 days.
there was a warning of volcano eruption in Kilauea in Hawaii. from September 7th to September 8th 2014, the flow advanced about 3/8 kilometers towards the edge of highway 130. the distance (in kilimeters) between the edge of the lava flow and the highway 130 can be given by the function f(t)=6-3/8t where t is the number of days since September 9, 2014. what is the input variables? What are the units of the input variable?
The sales tax in the city of Taxemalot is 8.1%. What is the growth factor for any item purchased at your local Tarmart? a. 8.1 c. 1.081 b. 0.81 d. 81
This table shows the daily high temperature, in Fahrenheit, for two cities for ten days. City A 90 85 84 85 80 82 83 85 89 82 City B 77 78 98 91 78 76 78 85 84 71 Which conclusion can be drawn from the data? A: The temperature range between the maximum and minimum values for city A is greater than the temperature range between the maximum and minimum values for city B. B: The median and mode are different for city B. C: The median is less for city A than for city B. D: On average, city A was warmer than city B.
I would have to say it would be D. On average, city A was warmer than city B.
Hope this helps ;}
Which expression is equivalent to 12(2+3x−6) ?
3x−4
32x−5
3x−5
32x−2
Answer:
A. 3X-4
Step-by-step explanation:
Help needed please and thank you!
Can someone please help me with 2,3,4
whoever answers first gets a brainliest . thanks
Must a decimal divisor and a decimal dividend have the same number of decimal places in order to have a whole number quotient? write a division equation using two decimal numbers to support your answer.
Answer:
NO. They do not have to be equal
Step-by-step explanation:
A whole number takes place when two conditions are satisfied:
1. The numerator or the dividend is greater than the divisor.
For example, when you divide 0.1 by 0.002.
The dividend 0.1 is greater than 0.002
2. The divisor is small than the dividend.
This rule is the same as one above.
for example:
the quotient x is given by [tex]\frac{1}{0.25}\\ = 4[/tex]
Consider this system of equations: y = x2 y = x + k For which value of k does the system have no real number solutions? For which value of k does the system have one real number solution? For which value of k does the system have two real number solutions?
For the given system of equations, the value of k determines the number of real number solutions.
Explanation:In order to determine the number of real number solutions for the system of equations y = x^2 and y = x + k, we need to analyze the discriminant of the quadractic equation x^2 - (x + k) = 0.
If the discriminant is negative (less than zero), the system has no real number solutions.If the discriminant is zero, the system has one real number solution.If the discriminant is positive (greater than zero), the system has two real number solutions.The discriminant of the quadratic equation x^2 - (x + k) = 0 can be calculated as b^2 - 4ac, where a = 1, b = -1, and c = -k.
For no real number solutions: b^2 - 4ac < 0
For one real number solution: b^2 - 4ac = 0
For two real number solutions: b^2 - 4ac > 0
Learn more about Quadratic equations here:https://brainly.com/question/30098550
#SPJ3
If the principal on one loan is $1,000 more than another loan, the total cost of the loan is $1,000 more.
Answer:False
Step-by-step explanation:
I really need the answer I’ve been stuck on this all day
Enter a recursive rule for the geometric sequence. 10, −80, 640, −5120, ...
a(1)=
a(n)=
Answer:
The value is:
a(1)=10 and a(n)=(-8)×a(n-1)
Step-by-step explanation:
We are given a sequence as:
10, -80 , 640 , -5120 ,.........
since by looking at the sequence we could see that it is a geometric progression (G.P.) with common ratio -8.
Also a(1) denotes the first term of the sequence and a(n) denotes the nth term of the sequence.
a(1)=10
Also a(n)=(-8)×a(n-1)
since a(1)=10
a(2)=(-8)×10=-80
a(3)=(-8)×(-80)=640
a(4)=(-8)×640=-5120
and so on.
Hence the answer is:
a(1)=10 and a(n)=(-8)×a(n-1)