Answer:
51= 1/2(160-x)
102=160-x
x=160-102=58
Step-by-step explanation:
Vincent has $5 bills and $20 bills. He has a total of 24 bills and the total amount is $210. How many
$5 bills does he have?
The line CD is defined by the points C(-2,1) and D(10,7).
Find the equation of the line CD.
Answer:
The equation of the line is; y = 0.5·x + 2
Step-by-step explanation:
The points that define the line CD = C(-2, 1) and D(10, 7)
The equation of the line can be presented in the form of the general equation of a straight line, y = m·x + c
Where;
m = The slope of the line = [tex]\dfrac{7 - 1}{10 - (-2)} = \dfrac{1}{2} = 0.5[/tex]
c = The y-intercept
From the obtained slope, m = 0.5, using point D(10, 7), the equation of the line in point and slope form is therefore;
y - 7 = 0.5·(x - 10)
From the above equation of the line in point and slope form, we get the general form of the equation of the line as follows
y - 7 = 0.5·(x - 10) = 0.5·x - 5
y - 7 = 0.5·x - 5
y = 0.5·x - 5 + 7 = 0.5·x + 2
y = 0.5·x + 2
The equation of the straight line in general is y = 0.5·x + 2.
if you roll a single die and get 4 fives in a row what is the probability that you would get a 5 on the next roll
Answer
(1/6)⁴ = 1/1296
Step-by-step explanation:
robabilty of getting a 5 in a throw of dice is 1/6 . So, the required probability of getting 4 5’s in rolling a dice 4 times is (1/6)4
There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a blue marble is
There are 63 marbles in total in the bag and each is equally likely to be chosen.
Work out how many red marbles there must be.
Answer:
There might be 31 or 32
Step-by-step explanation:
I would have a better answer if i knew the probability of the blue marbles being chosen srry.
what is the length of KM ? no links . HELP
Answer:
40 units
Step-by-step explanation:
9x-5=7x+7
9x-7x=7+5
2x=12
x=6
6x+4
6(6)+4
36+4
40
A company uses two vans to transport
workers from a free parking lot to the
workplace between 7:00 and 9:00 a.m.
One van has 6 more seats than the other.
The smaller van makes two trips every
morning while the larger one makes only
one trip. The two vans can transport 57
people, maximum.
How many seats does the larger van have?
Answer:
The larger van has 23 seats
Step-by-step explanation:
Create a system of Equations:
1. Define variables.
> let x=small van and y=larger van
2. create 2 equations based on the information given.
> y = 6 + x
> 2x + y = 57
3. Use any method to solve
Substitution: 2x + (6 + x) = 57. x=17
now plug x in to the original equation to solve for y (the larger van)
y = 6 + 17 and y = 23
Elimination: 2y = 12 + 2x
y = 57 - 2x
3y = 69 and y = 23
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
14
x
х
12
Answer:
The answer is below
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangles are acute, obtuse, isosceles, equilateral, scalene and right angled triangle.
A right angled triangle is a triangle in which one of the angles is 90°. In a right angled triangle, the longest side is known as the hypotenuse and the side is opposite to the right angle.
Pythagoras theorem states that the square of the hypotenuse is equal to the sum of the square of the other two sides.
Given the question attached, using Pythagoras theorem:
18² = x² + 12²
324 = x² + 144
x² = 180
x = 13.42
What is the capacity of a rectangular tank calculated to the nearest litre? Length: 85cm Width: 65cm Height: 30cm
Answer:
Capacity of the rectangular tank in litres is 165.75l
Step-by-step explanation:
Volume of the tank
[tex] = lbh[/tex]
[tex] = 85 \times 65 \times 30[/tex]
[tex] = 165750 {cm}^{3} [/tex]
Capacity of the tank
[tex] = 165750ml[/tex]
[tex] = 165.75l[/tex]
pls help w explanation!!
A town with a population of 5,000 is being divided
into two voting districts: District X and District Y.
The populations of the two districts must differ by no
more than 500 people. Which of the following
systems represents all possible values for the
population x of District X and the population y of
District Y?
A) x-y ≤ 500 and x+y =5,000 B) x-y =500 and x+y ≤ 5,000 C) -500 ≤ x - y ≤ 500 and x+ y =5,000 D) -250 ≤ x - y ≤ 250 and x + y = 5,000
Answer:
A is the Answer
Step-by-step explanation:
Since the population is being split up into 2 divisions out of 5,000.
This means District X and Y must add up 5000.
[tex]x + y = 5000[/tex]
District X and Y must differ no more than 500 people.
So this means that X and Y total people difference cannot be over 500 people. So the equation for this is
[tex]x - y \leqslant 500[/tex]
A shows this so A is the answer.
What is y?
[tex]8^{y+2}=\frac{2^4}{4^{2y}}[/tex]
Can someone please explain to me in details and show me the steps TvT?
Answer:
y = -2/7
Step-by-step explanation:
8^(y+2) = 2^4/4^(2y)
you want to on both sides so you can solve for the exponents
8= 2^3
4= 2^2
2^3y+6 = 2^4/2^(4y)
2^(3y+6) = 2^(4-4y)
3y + 6 = 4 - 4y
7y = -2
y = -2/7
Work out the area of the shaded shape.
Answer:
65 m²
Step-by-step explanation:
Area 1 :-
A = 3m * 9m A = 27 m²Area 2 :-
A = (12-3-2) m * (9 - 5) m A = 7m * 4 mA = 28 m²Area 3 :-
Area = 2m * 5 m A = 10 m²Total Area :-
A = ( 27 + 28 + 10 ) m²A = 65 m²Which of the following equations is used to find the value of c?
Answer:
D. [tex]a^{2} + b^{2} = c^{2}[/tex]
Step-by-step explanation:
Pythagorean Theorem
choose the equation that's the line that passes through the point (-2,-3) and has a slope of -6
Answer:
Y = -6X - 15
Step-by-step explanation:
-3 = -6(-2) + B
-3 = 12 + B
B= -15
Answer:
You didn't attach the options, but y = - 6x - 15
Step-by-step explanation:
Using the equation y = mx + b, you can plug in values that you have to solve for b, the y intercept. Since m is the slope and the slope is - 6, and you have a y and x value, you can write the equation as follows:
-3 = - 6 * -2 + b
Then solve for b
-3 = 12 + b
-15 = b
Then you rewrite the original formula with the values of m and b:
y = - 6x - 15
A cost of a washing machine is 70 percent the cost of a dishwasher .Both cost 3400 dollars .What is the cost of the dishwasher.
Answer:
2000
Step-by-step explanation:
set up equation
.7x+x=3400
combine like terms
1.7x=3400
divide by 1.7 on both sides
x=2000
What is the length of leg s of the triangle below?
45
4-12
90°
45
Answer:
A
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{s}{4\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
s × [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )
s = 4 → A
modrater give answer
if 27x = 45263514282 than find the value of 200x
═══════ღ❦ღ══╮
[tex]\boxed{ \sf{Answer}} [/tex]
↦ First find the value of x
[tex]27x = 45263514282 \\ x = \frac{45263514282}{27} \\ x = 1676426454.89[/tex]
↦ Now, find the value of 200x
[tex]x = 1676426454.89 \\ 200x = 200 \times 1676426454.89 \\ 200x = 335285290978[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
Given that,
→ 27x = 45263514282
Then we have,
To find the required value of 200x.
Before that,
find the required value of x.
→ 27x = 45263514282
→ x = 45263514282/27
→ [x = 1676426454.89]
Now we can,
Solve for the value of 200x.
→ 200x
→ 200 × (x)
→ 200 × (1676426454.89)
→ 335285290978
Hence, 200x is 335285290978.
What is the classification for this polynomial? X2y+3x3
Answer:
quadratic
Step-by-step explanation:
hope you got it
Taking a discount of 50% off followed by a discount of 50% off results in a total discount of_______. A. 25% B. 50% C. 75% D. 100%
Answer:
A. 25%
Step-by-step explanation:
50% = 1/2
1/2 of 1/2 = 1/2 * 1/2=
1/4 = 25%
Answer:
100%-50%=50% so the answer is B
What is the value of a?
A.50 B.90 C.27.5 D.45
Answer:
[tex]a = 45 \times 5 \\ a = 90 \degree[/tex]
Answer:
B. 90
Step-by-step explanation:
The 45° angle is an inscribed angle that subtends arc a.
An inscribed and measures half the measure of its subtended arc.
45° = (1/2) * a°
a = 2 * 45
a = 90
Explain and help me with these pls and tyty ( solving using the substitution method )
Answer:
I suck at math but take a picture and put it in the app called "Math-way" or "Photo-math" I'm a senior and still use these
El solar de Maria tiene forma rectangular los lados miden 36 cm y 40 cm ¿Cuántos metros cuadrados tiene el terreno? ¿Cuál es el perímetro del terreno?
Respuesta:
Área del rectángulo = 0.144m²
Perímetro del rectángulo = 1,52 m²
Explicación paso a paso:
Dado que el área del rectángulo = Largo * Ancho
Convertir cm a m
Los 36cm = los 0.36m
Los 40cm = los 0.4m
Sustituir;
Área del rectángulo = 0.36 * 0.4
Área del rectángulo = 0.144m²
Perímetro del rectángulo = 2 (L + W)
Perímetro del rectángulo = 2 (0.36 + 0.4)
Perímetro del rectángulo = 2 (0,76)
Perímetro del rectángulo = 1,52 m²
The radius of a circle is 6 cm. What is its diameter?
Answer:
Step-by-step explanation:
d=2r=2, 6 =12
diameter=12
Question 1 of 10 An equation allows you to find the x- and y-coordinates of any point on the xy- plane. A. True B. False
Answer:
True
Step-by-step explanation:
The requried, an equation allows you to find the x- and y-coordinates of any point on the xy- plane. The given statment is true.
What is the equation?The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
An equation in two variables (such as y = mx + b, where m and b are constants) allows you to find the x- and y-coordinates of any point on the xy-plane that satisfies the equation.
To find the x-coordinate of a point, you can plug in a value for y and solve for x. To find the y-coordinate of a point, you can plug in a value for x and solve for y.
Learn more about equations here:
brainly.com/question/10413253
#SPJ7
Match each angle pair with their relationship
Answer:
oh I thought you were talk about love well dang :(
Step-by-step explanation:
BD=16 and AC is the perpendicular bisector of BD
Answer:
AC =
Step-by-step explanation:
AC = 16/2
= 8
THAT IS THE SOLUTION ABOVE
Calculate the sum of the integers from 52 to 108
Answer:
4560
Step-by-step explanation:
please tell me the answer to this, thanks
Step-by-step explanation:
Hey there!
The equation is: 2x + 3y -12=0 (i)
From the given equation;
Slope (m) = (-coeff.of X)/(coeff.of y)
m = -2/3
Now; Let the missing component be "a".
The equation also can be written in;
The equation also can be written in;(y-8) = -2/3(x-a) (using one point formula)
3y - 24 = -2x + 2a
2x +3y -2a -24 = 0………(ii)
Since both equation are made from same coordinates, equating equation (i) and (ii).
2x + 3y -12= 2x +3y -2a -24
Cancel like terms,
-2a - 24 = -12
or, -2a = 12
or, a = -6.
Therefore, the missing value is -6.
Check:
Putting the value "a" in equation (ii).
2x + 3y -2(-6) -24 = 0
or, 2x+3y -12 = 0 (which is equal to equation (i).
Hope it helps!
A boat travels to an island and back in 78 minutes. If the speed of the boat going to the island is 14 mph, and its speed returning is 12 mph, how far away is the island
Answer:
8.4 miles
Step-by-step explanation:
Given that :
Total time taken = 78 minutes = 78/60 = 1.3 hours
To Speed = 14 mph
Fro Speed = 12 mph
Let the distance be represented as, d
Distance = speed * time
Time = distance / speed
To time + Fro time = 1.3 hours
d / 14 + d / 12 = 1.3 hours
Take lcm of 14 and 12 ; = 84
(6d + 7d) / 84 = 1.3
13d /84 = 1.3
13d = 1.3 * 84
13d = 109.2
d = 109.2 / 13
d = 8.4 miles
The distance is 8.4 miles
How to solve this step by step n get the answer
Answer:
Answer 1 :-
[tex]\implies m_1 = -3 [/tex]
[tex]\implies y - intercept = 7 [/tex]
Answer 2 :-
[tex]\implies m_1 = -\dfrac{1}{2} [/tex]
[tex]\implies y - intercept = -4 [/tex]
Step-by-step explanation:
The Slope Intercept Form of the line is given to us . The equations given are ,
[tex]\implies y + 3x = 7 [/tex]
[tex]\implies y + \dfrac{1}{2}x = -4 [/tex]
Now we know the standard equation of slope intercept form , is
[tex]\implies y = mx + x [/tex]
Where ,
m is slopec is y intercept .So , we can write about the equations as ,
[tex]\implies y = -3x + 7 [/tex]
[tex]\implies y = - \dfrac{1}{2}x -4 [/tex]
On comparing to the Standard form ,
Answer 1 :-
[tex]\implies m_1 = -3 [/tex]
[tex]\implies y - intercept = 7 [/tex]
Answer 2 :-
[tex]\implies m_1 = -\dfrac{1}{2} [/tex]
[tex]\implies y - intercept = -4 [/tex]
Pls ans this question step by step not only ans if it will help me than I will thanks uu comment uu pls ansme
Answer:
-2x+7
Step-by-step explanation:
