Step-by-step explanation:
Let's turn that into a linear system:
\{ {{y=0.05x+20} \atop {y=0.25x+10}} .{y=0.25x+10y=0.05x+20.
Set the equations equal to each other and solve:
0.05x+20=0.25x+100.05x+20=0.25x+10
0.2x=100.2x=10
x=50x=50
We then plug in to get yy :
0.25(50)+10=22.50.25(50)+10=22.5
The solution to the system is \{ {{x=50} \atop {y=22.5}} .{y=22.5x=50. .
Now, let's turn our attention to the statements.
The first one is false: Emilia's rate is higher, and the two plans cost the same at 50 texts, after which point Hiroto's plan becomes cheaper!
The second one is also false: we already figured out that the lines intersect at x=50x=50 .
The third statement is also false: as above, the lines intersect at x=50x=50 .
The fourth statement is true: the lines intersect at x=50x=50 .
In conclusion, the fourth statement - "Both plans cost the same when 50 texts are sent" - is true.
Cred to ultroid
Plz help me
Last year, 75 new houses were built in a neighborhood. So far this year, 5/8 of them have been sold. How many new houses have been sold this year? Write your answer in simplest form.
Find 1112+(−712). Write your answer as a fraction in simplest form.
Find 1112+(-712)=...
what is 0.000 0643 in standard form form ?
and what is 0.000 000 205 in standard form?
0.000 000 005 009
Answer:
See below
Step-by-step explanation:
[tex]0.000 0643 = 6.43 \cdot 10^{-5}[/tex]
[tex]0.000 000 205 = 2.05 \cdot 10^{-7}[/tex]
[tex]0.000 000 005 009 = 5.009 \cdot 10^{-9}[/tex]
PLEASE HELP!!
In isosceles triangle DAC, AD is congruent to AC. Kiran knows that the base angles of an isosceles triangle are congruent. What additional
information does Kiran need to know in order to show that AB is a perpendicular bisector of segment CD?
A perpendicular bisector is a line that crosses (bisects) another line segment at 90 degrees, dividing the line segment it crosses into two equal length lines
The additional information Kiran need to know to show that AB is a perpendicular bisector is the fourth option;
DB and BC are congruent
The reason for the above selection is as follows:
The information about the isosceles triangle DAC Kiran knows are;
Triangle DAC = An isosceles triangle
Segment AD is congruent to segment AC
Segment AB is a is a line from the vertex point A to the side CD of triangle DAC
The required parameter:
The information Kiran has know so as to show that AB is a perpendicular bisector of CD
Method:
Determine an attribute present in triangle DAC with line AB drawn that is due to line AB being a perpendicular bisector
Solution:
For AB to be a perpendicular bisector, then DB and BC are congruent
Given that DB and BC are congruent, we get;
AB is congruent to AB by reflexive property
Therefore, given that AD is congruent to AC, we have;
Sides AD, AB, and DB in triangle ΔADB are congruent to the corresponding sides AC, BC, and AB in triangle ΔACB, which gives
ΔADB is congruent to ΔACB by Side-Side-Side, SSS, congruency rule
Therefore, ∠ABD ≅ ∠ABC, by Congruent Parts of Congruent Triangles are Congruent, CPCTC
∠ABD = ∠ABC by definition of congruency
∠ABD and ∠ABC are linear pair angles, therefore;
∠ABD + ∠ABC = 180°
∠ABD + ∠ABD = 2 × ∠ABD = 180° by substitution property
∠ABD = 180°/2 = 90°
∠ABD = 90° = ∠ABC, therefore, AB is perpendicular to CD and AB is a perpendicular bisector of CD
Therefore, the correct option Kiran need to know in order to show that AB is a perpendicular bisector of segment CD is the option; DB and BC are congruent
Learn more about perpendicular bisectors here:
https://brainly.com/question/15807158
3(k - 5) + 9k 2-3 does anyone know how to solve this?
Answer:
=21k-18
Step-by-step explanation:
The original price of a t.v. was $500. Mrs. Nitz bought the t.v. on sale for $175. What a deal!!! Find the percent discount. BE CAREFUL...the t.v. was expensive but she got a big discount on it.
the value of a collectible coin can be represented by the equation y=2x+9.74 where x represents the number of years that consuello has owend the coin y represents the total value in dollars of the coin. what was the value of the coin when consuello originally purchased it?
Answer:
The answer is b ($9.74)
Step-by-step explanation:
I got it right (:
Which of the following statements is true about
the values of the coordinate points in a figure when the figure is reflected over the y-axis?
Please help!!! The picture shows the selection of answers
Answer:
The y-axis stays the same
Step-by-step explanation:
:)
3. I opened a compound interest account with $300 at 2%. How much money will be in the
account at the end of 18 months?
Answer:
there will be 408$ at the end of 18 months
Step-by-step explanation:
2% of 300 is 6 and 6 x 18 = 108. 108 + 300 = 408
Solve the formula for the variable w.
P = 2l + 2w
Answers:
A. w=p-1
B. w=p/2+1
C. w=p/2-1
D. w=p/2-1/2
Answer: w=p/2-1
Step-by-step explanation:
I just took the test
this is an isosceles triangle z=?
Answer:
Z = 75°
Step-by-step explanation:
Z is equal to 75°
hope that will help you
Help please asap with this math
Answer:
30p + 5
You do destibutive property
(6p+1)(5)
6p * 5
1 * 5
=30p+5
Angela lives 0.6 mile from the park. It takes her hour to walk her dog to the park. How quickly are Angela and her dog walking in miles per hour?
Answer:
0.6 miles an hour
Step-by-step explanation:
since it takes her 0.6 miles to walk an hour and an hour to walk 0.6 miles.
0.6 = 3/5
Answer: 0.1 miles per hour
Since an hour has 6 10-minute segments, divide by 6.
0.6 ÷ 6 = 0.1
Your answer should be 0.1 miles per hour.
So, Angela and her dog are walking at 0.1 miles per hour.
Hope this helps!
I know it’s late but is anybody here
Answer:
b is 0
Step-by-step explanation:
yes, i am here :)
Answer:
Equation: y = [tex]\frac{1}{2}x[/tex]
m = [tex]\frac{1}{2\\}[/tex]
b = 0
Type of Slope = Positive linear slope
We are here for you m8.
Six more than four times a number is equal to eight added to three times the same number. Find the number
6+4x=8+3x
-3x -6
x=2
the number is 2
To quickly find the product of a whole number time 1000, add *Blank* Zeroes to the number
Answer:
Add three zeros to the end.
Step-by-step explanation:
When you add three zeros, the result is equivalent to when multiplying by 1000. For example, 20 times 1000 is 20,000.
Hi! I believe your answer is 3 zeros. For example, 7 × 1,000 = 7,000 (add 3 zeros). I hope this helps you! Good luck and have a great day/night. ❤️✨
To solve -3 = -19 + , what steps would you use? 19 5
Answer:
add divide
Step-by-step explanation:
Answer:
add divide
Step-by-step explanation:
Can someone help me answer this question ASAP!!!!
Answer:
noooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo u
Step-by-step explanation:
Simplify negative 6.5 times 2 times negative 5
Answer:
-65
Step-by-step explanation:
6.5*2*-5=-65
Answer:
65
Step-by-step explanation:
-6.5 x 2 x -5
-6.5 x 2
-13
-13 x -5
65
What is the equation to Pi in math?
By definition, pi is the ratio of the circumference of a circle to its diameter. In other words, pi equals the circumference divided by the diameter (π = c/d). Conversely, the circumference of a circle is equal to pi times the diameter (c = πd).
What is the prime factorization of 312
A.) 2 x 2 x 2 x 3 x 13
B.) 2 x 2 x 3 x 51
C.) 2 x 2 x 3 x 3 x 17
D.) 2 x 2 x 2 x 9 x 51
Answer:
A.) 2 x 2 x 2 x 3 x 13
Step-by-step explanation:
here is the factor tree for 312
Hope this helps! :)
write the equation of the line that is parallel to y=-6x+-8 that passes through (-8,8)
Answer:
y=-6x-40
Step-by-step explanation:
Find the quotient of x4 + 2x + 4x - 10 divided by x + 2.
show your work
Step-by-step explanation:
What is a rational number and how do you know?
Which has a greater slope, a horizontal line or a vertical line?
Answer:
A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).
Answer:
A horizontal line has a greater slope than a vertical line
PlzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzILL GIVE BRAINLY FOR CORRECT ANWSER
Answer:
2,4,3,1
Step-by-step explanation:
A plane flew 720 miles in 6 hours. How many miles did the plane fly in 4 hours?
Answer:
[tex]\huge\boxed{\texttt{480 miles}}[/tex]
Step-by-step explanation:
We can create a ratio here to find the constant of proportionality and use that to find how many miles the plane flew in 4 hours.
We know the plane flew 720 miles in 6 hours. We can create a ratio, represented as a fraction, in the form [tex]\frac{miles}{hours}[/tex] .
[tex]\frac{720}{6}[/tex]
We can now make another ratio where we use a variable for the miles flown in 4 hours.
[tex]\frac{x}{4}[/tex]
Since the ratios are equal, we can create an equation.
[tex]\frac{720}{6}=\frac{x}{4}[/tex]
To find the value of x, let's cross multiply.
[tex]720 \cdot 4 = 2880\\\\2880\div 6 = 480[/tex]
So the plane flew 480 miles in 4 hours.
Hope this helped!
Can I get some help please?
Answer:
at least 28
Step-by-step explanation:
Answer:
The answer is C. at least 28
Step-by-step explanation:
Connor- 58 comic books
Drew-31 comic books
So, 58-31=27
if Drew add 27 comic books than it would be equal to Connor. So in order to have a larger collection than Connor he should at least add 28 comic books.
Hope it helps :)
Marshall knows that he burns 235 calories by walking for 30 minutes. This week, Marshall walked for 360 minutes. How many calories did Marshall burn by walking this week?
Answer:
2820 calories
Step-by-step explanation:
Since 30 can fit into 360, you can divide it.
360/30=12
12 is what you will multiply to the number of calories in 30 minutes.
235*12=2820
what are the common factors of 20 and 30
A. 1,2,5,10
B. 1,2,10
C. 1,10
D. 1,5,10
Answer:
D.
Step-by-step explanation:
Its D. Bruh