Answer:
Step-by-step explanation:
22.50-3.75=18.75
r ≤ 14
Solve each of the following system of equations by substitution!!!
x-5y=-49
y=-2x+1
Answer:
(-4,9)
Step-by-step explanation:
substitute the given value for y into the first equation
x-5(-2x+1)=-49
distribute
x+10x-5=-49
add like terms
11x-5=-49
add 5 to both sides
11x=-44
divide both sides by 11
x=-4
now plug x into into the second equation
y=-2(-4)+1
y=8+1
add like terms
y=9
What single transformation was applied to triangle A to get triangle B?
Answer:
should be reflection
Step-by-step explanation:
bc a translation would just move it and rotation and dilation wouldn't work either
The single transformation was applied to triangle A to get triangle B is a reflection, in which A is reflected around the y-axis.
What is reflection?Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point.
Given:
The triangles A and B are shown in the given figure,
Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original,
Rotation is the process of going around a center.
A shape is translated when it is moved up, down, left, or right without turning. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes.
Thus, triangle A is reflected as B.
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What is the complex conjugate of the root x = 3i
Answer:
For example, the conjugate of 0 + √3 is 0 - √3, the conjugate of -√3 is √3, and the conjugate of 2 - 5√3 is 2 + 5√3.
Step-by-step explanation:
The complex conjugate of the root x = 3i will be x = -3i.
What is complex conjugate?The complex conjugate of a complex number is the number that has equal real and imaginary parts that are opposite in sign but equal in magnitude.
A given complex function is x = 3i
As we know that the complex conjugate function is one in which the imaginary part of the function becomes negative.
The complex conjugate function will be:-
x = -3i
Therefore the complex conjugate of the root x = 3i will be x = -3i.
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There are 25 students from the fifth-grade class collecting postage stamps.
Each student brought in 4 stamps, and their history teacher, Mr. Miller,
brought in 15 stamps.
Which expression could be used to find the total number of postage stamps
that were brought into class?
O A.
25 x (4 + 15)
O
B. (25 x 15) + 4
O C. (25 x 4) + 15
D.
(25 x 15)
- 4
Answer:
no C
(25×4)+15
because out of 25 students each students brought 4 stamps which means 25×4 and their teacher brought 15 which is added .
Answer:
C
Step-by-step explanation:
there are 25 students and they EACH brought 4. Each means you multiply. so we have 25x4. then Mr. Miller brought 15 more stamps so we need to add that to the equation. so we have (25x4) because that is separate from the 15.
(25x4)+15
1/4k + 1/4m - 2/5k + 5/9m
Answer:
[tex]\frac{-3}{20}k+ \frac{29}{36}m[/tex]
Step-by-step explanation:
Find the values of x, y, and z. Round to the nearest tenth, if necessary.
(choices are 3.6, 4.5, and 6.5)
Answer: x= 4.5, y=3.6, z=6.5
Step-by-step explanation:
To find : x, y and z.
First label the triangle as A,B,C and D (as in the picture below).
ΔABC , ΔACD and ΔABD both are right triangles.
In ΔABC ,
[tex]y^2=3^2+2^2[/tex] [By Pythagoras theorem]
[tex]\Rightarrow\ y^2=13\\\\\Rightarrow\ y=\sqrt{13}\approx3.6[/tex]
In ΔACD ,
[tex]AD^2=3^2+x^2\\\\\Rightarrow\ AC^2=9+x^2 \ \ ...(i)[/tex] [By Pythagoras theorem]
In ΔABC ,
[tex]y^2+AC^2=(2+x)^2\\\\\Rightarrow\ AC^2=(2+x)^2-y^2\ \ ...(ii)[/tex]
From (i) and (ii), we get
[tex]9+x^2=(2+x)^2-y^2\\\\\Rightarrow\ 9+x^2=4+x^2+4x-(3.6)^2\\\\\Rightarrow\ 9=4+4x-12.96\\\\\Rightarrow\ 4x=9-4+12.96\\\\\Rightarrow 4x= 17.96\\\\\Rightarrow\ x=\dfrac{17.96}{4}\\\\\Rightarrow\ x=4.49\approx4.5[/tex]
Z = 2+x= 2+4.5 =6.5
Hence, x= 4.5, y=3.6, z=6.5
HELP WILL GIVE BRAINLIEST FOR BEST ANSWER!!!
What is the radical form of each of the given expressions?
Drag the answer into the box to match each expression.
view pic
find the value of a and b
Step-by-step explanation:
2b=180-40
2b=140
b=70
a=180-90-70=20°
A rectangle or field is 62 m long and 48 m wide Diana estimate the length of the field to be 60 m and the ways to be 45 m what is the percent error of Dianas estimated area measurement round your answer to the nearest whole percent
Answer:
To make estimates, we usually round the numbers the nearest integer.
Since 1.9 is closest to 2 than it is to 1, the nearest integer of 1.9 is 2.
Similarly, since 4.4 is closest to 4 than it is to 5, the nearest integer of 4.4 is 4.
Now, to estimate the area of the farm, we are going to multiply our two integers:
Estimated Area of the Farm= x
Since 8 is between 4 and 10, we can conclude that the best estimate of the area of the farm is: between 4 and 10
Step-by-step explanation:
What is the slope of the line? i-Ready Lesson Linear Equations and Slope Level H
Answer:
how do I solve this
where is the photo
1/3 ( 30y + 6 ) = 32
1/3 is a fraction. Solve for y
Answer:
y=3
Step-by-step explanation:
30y+6/3=23
6(5y+1)/3=32
2(5y+1)=32
5y+1=32/2
32/2=16
5y=16-1
16-1=15
y=15/5
y=3
14. True or False: Does a reflection
preserve congruence?
What is the slope of the function?
a) -10
b) -5
c) 5
d) 10
Answer:
-5
Step-by-step explanation:
pls help if u can 6th grademath
Answer:
n = 54
Step-by-step explanation:
[tex]\frac{2}{12}=\frac{9}{n}\\[/tex]
Cross products,
2 * n = 9 *12
2n = 108
Divide both sides by 2
[tex]n = \frac{108}{2}\\[/tex]
n = 54
Peter was thinking of a number. Peter divides by 7, then adds 5 to get an answer of 13. What was the original number?
Answer:
56
Step-by-step explanation:
5-13=8
7*8=56
Answer:
the answer is 56(fifty six)....
ty gets paid $15 an hour working at a resturant. the equation y=15x gives the amount of money he makes, y, after hours of work. which is true of the relationship between x and y
pls solve this besties 5^-2
Answer:
0.04
Step-by-step explanation:
Answer: 1/25
Step-by-step explanation: when you go to a negative exponent you get a fraction and .04 is the same as 1/25 by the ways.
the difference of 4 cubed and 25
Answer:
39
Step-by-step explanation:
4 cubed is 64 and 64-25 is 39
Good luck!
After solving the given expression, the value obtained for the difference between 4³ and 25 will be equal to 39.
What is an arithmetic operation?The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers.
Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the given statement in the question,
The difference between 4³ and 25 will be,
4³ = 64
Then,
64 - 25 = 39
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Which multiplication expression is equivalent to 3/8 ÷ (-5/8)
Answer:
- [tex]\frac{3}{5}[/tex]
Hope this helps big boy
Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,077 was collected on the
sale of 1,201 tickets. How many of each type of ticket were sold?
The basketball game sold
adult tickets and
student tickets.
Answer:
Your problem will require you setting up 2 algebraic equations. First, you should.
Let A represent the number of adult tickets
Let S represent the number of student tickets
The first equation will be:
A+S = 1,215 tickets
The number of adult tickets plus the number of student tickets equals 1,215 tickets
The second equation will be:
5.00A+1.00S=$2,591
The price and number of adult tickets plus the price and number of student tickets equals $2,591.
I hope this has made the problem easier to understand. I hope you are able to solve the problem from here. If you can not solve the problem from here, I will be more than happy to further assist you.
Step-by-step explanation:
You have two unknowns, two variables, therefore you need to have at least two equations in this word problem in order to find a solution. Let's review the info you are given:
The price of an Adult ticket: $5
The price of a Student ticket: $1
The two variables are: the number of Adult tickets sold (you can use variable "A"), and the number of Student tickets sold (use variable "S").
The other info you are given is the total number of tickets sold: 1,215 tickets. Use this to make your first equation: the number of adult tickets plus the number of student tickets equals 1,215.
You are also told how much money was collected: $2,591. That means, $5 from every Adult ticket and $1 from every student ticket. We don't know how many of each ticket, but we assigned variables A and S to stand in for this unknown info. The money made from all the adult tickets would be the price of the adult ticket times how many adult tickets sold (5 times A), and the money made from all the student tickets would be the price of the student ticket times how many student tickets sold (1 times S). Use this to make your second equation, which says that all the money collected from all the tickets (5 times A in addition to 1 times S) is (=) 2,591.
Now you have two equations, each equation has two variables. To solve, go back to the easiest equation (the first one) and isolate one of the variables. By isolate I mean get it on one side of the equation by itself. Since in this case these variables are being added together, you have to do the opposite of addition, which is of course subtraction. To do this, you will have to subtract the other variable ON BOTH SIDES of the equation. So, say we want to isolate the variable A, we will subtract S from both sides. Well, S minus S is zero, so now A is isolated, meaning the left side of the equation is just A = ... Now you want to subtract the S on the other side. Remember that whatever you do to one side you must do to the other.
Now that you have your equation re-worked to show A = ..., you need to "plug it into" the second equation. What I mean is, you need to substitute instead of A, put in this equation. Then you will have one equation with one variable which you can solve! Remember the rules of equations, to do work in parenthesis first, the multiply or divide, then add or subtract. You will be able to solve for S.
Once you have found S (the number of student tickets sold), you can easily find A (the number of adult tickets sold) by going back to that first equation and subtracting your value of S from 1215.
A cyclist rides a distance of 36 km at an average speed of 16 km/h.
Calculate the time taken to complete this ride. Give your answer in hours and minutes.
Please Help!
Answer:
2.25 hours, or 2 hours and 15 minutes.
Step-by-step explanation:
All we do is 36/16 which is 2.25. 0.25 or 1/4 of an hour is 15 minutes. So, your answer is 2 hours and 15 minutes.
It takes 2 hour and 12 minutes for the cyclist to complete the ride of 36km distance.
What is unitary method?
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Total distance covered by cyclist= 36km
Average speed of the cyclist = 16km/hr
Therefore, using unitary method:
16 km distance takes time = 1hr
Therefore, 1 km distance takes time =(1/16)hr
Therefore, 36 km distance takes time = (1/16)×36 hr
=(1/4)×9 hr
=9/4 hr
=2.25 hr
=(2+0.25)hr
=2hr+0.25hr
=2hr+0.25×60minutes
=2hr and 15 minutes.
Hence, it takes 2hr and 15 minutes for the cyclist to complete 36 km rides.
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can someone plz help
Answer:
16
Step-by-step explanation:
Answer:
Your Answer is 16 bro Okk and good morning and please mark me as brainliest
graph
f(x) = (x - 1) (x + 4)?
Answer:
graph
Step-by-step explanation:
graph shown
intersected large curve
first one to get the correct answer AND answer first gets points and a bonus .
Answer:
Its 1
Step-by-step explanation:
hELP I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER
Answer:
It’s the number hairline
Step-by-step explanation:
Hairline cut it straight
Answer:
16x16x16x16
Step-by-step explanation:
Brainliest answer! Plz help!
Answer:
10%
Step-by-step explanation:
1/10 = 0.10 = 10%
An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is x. Another side is 4 more than two times the length of the bottom of the triangle. The last side is 3 more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle,
Answer:
4x+7
Step-by-step explanation:
x
2x+4
x+3
I hope this helps :)
What is the next term of the geometric sequence?
20, -10,5,
Answer:
-2.5
Step-by-step explanation:
-1/2 is the number it is being miltiplied by
HELP HOMIE IN NEED!!
Answer: C
Step-by-step explanation:
Given
[tex]\frac{5}{4}(a-8)=\frac{2}{3}[/tex]
Multiply both sides by (4/5)
[tex]\frac{5}{4}(\frac{4}{5})(a-8)=\frac{2}{3}(\frac{4}{5})[/tex]
[tex]a-8=\frac{8}{15}[/tex]
Add 8 on both sides
[tex]a-8+8=\frac{8}{15}+8[/tex]
[tex]a=\frac{8}{15} + \frac{120}{15}[/tex]
[tex]a=\frac{128}{15}[/tex]
[tex]a=8\frac{8}{15}[/tex]
Hope this helps!
Please let me know if you have any questions
What is the value of x?
Answer:
17
Step-by-step explanation:
(6x+10)+(x+17)+(4x-34)=180(being sum of all angle of a triangle)