Answer:
x = [tex]\frac{1}{10}[/tex]
Step-by-step explanation:
Given
100x² - 20x + 1 = 0 ← this is a perfect square
(10x - 1)² = 0, thus
10x - 1 = 0 ( add 1 to both sides )
10x = 1 ( divide both sides by 10 )
x = [tex]\frac{1}{10}[/tex]
Answer:
Step-by-step explanation:
100x^2-20x+1=0
100x^2-(10+10)X+1=0
100x^2-10x-10x+1=0
10x(10x-1)-1(10x-1)=0
(10x-1)(10x-1)=0
So roots are X=1/10,1/10
In a board game, Judy scored 5 points more than twice the number of points Ann scored. There was a total of 65 points scored. If Judy scores x points and Ann scores y points . How many points did Judy score?
Judy scored 45 points in the board game.
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given:
In a board game,
Judy scored 5 points, more than twice the number of points Ann scored.
If Judy scores x points and Ann scores y points,
that means,
x = 2y + 5
x - 2y = 5. {equation 1}
There was a total of 65 points scored.
x + y = 65 {equation 2}
Subtract the equation 2 to equation 1,
we get,
-3y = -60
y = 20
Then, x = 45.
Therefore, 45 points Judy scored.
To learn more about the system of equation;
brainly.com/question/13729904
#SPJ2
HELP PLEASE ASAP!! WILL GIVE BRAINLIEST ❤️
Find the slope of the line. Enter your answer in simplest form.
Answer:
slope=4
Step-by-step explanation:
m=y2-y1/x2-x1
4-(-4)=8
5-3=2
8/2=4
hope this helps :3
if it did pls mark brainliest
Find the slope plz help help plz
Answer:
-2
Step-by-step explanation:
please help i will mark brainliest
Answer:
180, i already commented it but like i even looked it up a straight line is 180
Step-by-step explanation:
what is the following sum ?
Fred opened a bank account with $310. He then deposits $55 per week. Stan started his bank account with $650 and withdraws $30 per week. Set up an equation to represent this situation. After how many weeks, w, will their bank accounts have the same amount in them
Answer: 4 weeks
Step-by-step explanation:
(-2,4) ,(3,-6) point slope form
You and your friend go shopping with $846,375,593. (that's literally the question) You spend 250,678 dollars on shoes, 10,008 dollars on clothes, and 40,034 dollars on accesories. How much money do you both have left?
Later, your friend and you get robbed and the robber takes half of the remaining money. How much do you have left?
Later, you earn $234,485.78. How much do you and your friend now have?
This is the actual question on my homework... I have no clue how to do this... can someone please help me? 50 points!
Answer:
Initial money -->$846,375,593
You spend 250,678 dollars on shoes, 10,008 dollars on clothes, and 40,034 dollars on accesories.
$846,375,593-$250,678-$10,008-440,034 = $845,674,873
Later, your friend and you get robbed and the robber takes half of the remaining money. How much do you have left?
$845,674,873/2 = $422,837,436.5
You have $422,837,436.5 left.
Answer: Ok look at the explaination
Step-by-step explanation:
$846,375,593 - everything you spend = 846,074,873
You both have 846,074,873 after the shopping spree
To calcute how much is left after the robbery you divide the money you have left by two since the robber took half. Then your are left with 423,037,436
Then you earn money so add 234,458.78 to your 423,037,436 and you have 423,271,922
At the end you are left with $423,271,922
The first floor of a house consists of a kitchen, playroom, and dining room. The areas of the kitchen, playroom, and dining room are in the ratio 4 : 3 : 2 . The combined area of these three rooms is 189 square feet. What is the value of one box on the tape diagram ?
Answer:
The value of one box in the tape diagram will be 21 square feet
Step-by-step explanation:
Here, we have the total ratio added as 4 + 3 + 2 = 9
So the area of one box on the tape diagram will be the combined area divided by the total square feet
Mathematically, that will be;
189 square feet/9 = 21
Answer:
21
Step-by-step explanation:
^^^^^^
The brown family has 5 liters of lemonade. Each liters of lemonade weighs 1 kilogram. At the end of the day they have 290 grams of lemonade left. How many grams of lemonade did they drink.
Answer:
4710grams of lemonade.Step-by-step explanation:
Step one:
given data
the brown family has 5 liters of lemonade that weighs 1 kg per liter
this implies that they have 5kg of lemonade.
convert 5kg to grams we have 5*1000= 5000grams
(because 1000g is equal to 1kg)
Step two:
if at the end of the day there was 290grams left, then they drank
=5000-290
=4710
They drank 4710grams of lemonade.
A frosting recipe calls for adding 5 tsp of red food coloring for every 3 tsp of blue food coloring. If you used 15 tsp of blue food coloring, how many tsp of red food coloring would you use to get the same recipe of frosting ?
Answer:
tsp of red food coloring = 25
Step-by-step explanation:
Red food coloring = 5 tsp
Blue food coloring = 3 tsp
Red food coloring : Blue food coloring = 5 tsp : 3 tsp
Blue food coloring = 15 tsp
how many tsp of red food coloring would you use to get the same recipe of frosting ?
Let
x = tsp of red food coloring
Red food coloring : Blue food coloring = x tsp : 15 tsp
Equate the ratios to find x
Red food coloring : Blue food coloring
5 tsp : 3 tsp = x tsp : 15 tsp
5 / 3 = x / 15
Cross product
5 * 15 = 3 * x
75 = 3x
Divide both sides by 3
x = 75 / 3
= 25
x = 25 tsp
tsp of red food coloring = 25
Find the distance between (0,5) and (8,9). Round your answer to the nearest tenth.
The distance is about
units.
Answer:
8.9 units
Step-by-step explanation:
sqrt[(x2-x1)^2+(y2-y1)^2]
sqrt[8^2+4^2]
sqrt(80)
8.9 units
what is the difference between 3/8 and 61/64 redosed
Answer:
Distance between points = [tex]37/64\\[/tex]
Step-by-step explanation:
This is a relatively simple problem. Here we have to find the distance between two points on the number line.
The given two numbers are fractions and to find the difference between these two numbers, we have to make their denominators common.
One has denominator as 8 and the other as 64.
We make the common denominator as 64.
Then the fractions 24/64 are 61/64 and .
The distance between the two points = 61/64 - 24/64
= 37/64
Step-by-step explanation:
two trapezoids-shaped tabletops are congruent to each other trapezoid FGHI =trapezoid WXYZ must be congruent to GH
A. XY
B. WX
C. YZ
D. WZ
Answer: B: WX
Step-by-step explanation:
PLEASE HELP WILL GIVE 20 POINTS
Use I = PRT to solve.
(time is in years)
P = $450
R = 5%
T = 7 years
Find I.
Answer:
$150.50
Step-by-step explanation:
I = 450 × 0.05 × 7 = 157.5
I = $ 157.50
The simple interest accumulated
on a principal of $ 450.00
at a rate of 5% per year
for 7 years is $ 157.50.
Hellooo :)
The answer is I = $ 157.50
What is the correct answer for all?
Answer: 13.B
14.B
15.C
16.A
17.D
18.A
Step-by-step explanation:
(first question btw)
please help i will mark brainliest if correct!
Answer:
(3,9)
Step-by-step explanation:
Because the translation moves 1 in the x direction and 4 in the y direction, you just add those to the starting x and y coordinates.
(2+1, 5+4)
(3, 9)
4600000000 in standard form
Answer:
four billion, six hundred million
Step-by-step explanation:
7 less than the difference of 12 and 5
Answer:
the difference of 12 and 5 is 7 so it would be 0
how long is 74% of 60 min
A. 50
B. 35
C.45
Answer:
Its c
Step-by-step explanation:
Answer:
yes it is C
Step-by-step explanation:
Write the slope intercept
Answer:
It would be 2x -5=y
Step-by-step explanation:
The equation for the two points is 2x -5=y so the slope intercept would be 2x -5=y
what are the angle measures given the figure is a rhombus???
Answer:
∠ 1 = 136°
Step-by-step explanation:
The diagonals of a rhombus bisect the angles, thus other side of the diagonal to 22° is also 22°. Making the whole angle = 44°
Consecutive angles are supplementary, thus
∠ 1 + 44° = 180° ( subtract 44° from both sides )
∠ 1 = 136°
HELP! GIVING OUT BRAINIEST AND 10 POINTS!!!
Answer:
i think it's 18
Step-by-step explanation:
no need to
Answer:
x=12
Step-by-step explanation:
If you add HG and GE together, you would get the value for HE. You also get HE if you add HF and FE. Setting HG+GE equal to HF+FE gives us a true equation we can use to solve for x. The math is attached.
Which equation represents the vertex form of the equation y= x2 - 6x + 11?
A. y= (x - 3)2 + 2
B. y= (x - 6)2 + 2
C. y= (x - 6)2 +11
D. y= (x - 3)2 + 11
Answer:
A
Step-by-step explanation:
Use the method of completing the square to express in vertex form.
Given
y = x² - 6x + 11
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 6x
y = x² + 2(- 3)x + 9 - 9 + 11 , then
y = (x - 3)² + 2 → A
Answer:A
Step-by-step explanation:
What is the domain and range of these graphs ?
HELP QUICK I NEED TO TURN IT IN IN 30 mins
What is the zero of this radical function? x = -4 x = -2 x = 2 x = 4
Answer:
x = -4
Step-by-step explanation:
Answer: -4 is correct
Step-by-step explanation:
2x+3y=122, x, plus, 3, y, equals, 12
Complete the missing value in the solution to the equation.
((left parenthesis
,8),8)
she me he sid sud iebe Howie
Grace paid $54.40 for 8 outdoor pathway lights.
Travis paid $40.25 for 5 of the same lights at a different store.
Use the drop-down menus to explain who paid less per light. pls help me
The average of four numbers 30.5. three of the numbers are 24.2, 14.5, 50.5
what is the fourth number?
Answer:
32.8
Step-by-step explanation:
The average is calculated as
average = [tex]\frac{sum}{count}[/tex]
let x be the fourth number, then
[tex]\frac{24.2+14.5+50.5+x}{4}[/tex] = 30.5 ( multiply both sides by 4 )
89.2 + x = 122 ( subtract 89.2 from both sides )
x = 32.8
Thus the fourth number is 32.8