Answer:
6 days
Step-by-step explanation:
First we have to write an expression that represents Johnny's and Sal's banking plans.
Johnny: He has an initial value of $100 and that value will increase by $15 every day. So the expression looks like: 15x + 100, where x is the amount of days it's been.
Sal: An initial value of $250 and the value will decrease by $10 everyday. The expression looks like: -10x + 250, where x is the amount of days it's been.
To find how many days they have until they have the same amount of money in the bank, we can set the expressions equal to each other and solve for x:
15x + 100 = -10x + 250
Add 10x to both sides to isolate the x on one side of the equation:
25x + 100 = 250
Subtract 100 from both sides of the equation to isolate 25x:
25x = 150
Divide both sides by 25 to find the value of x:
x = 6
Since x represents the amount of days it's been, x = 6 means that it will take 6 days for their bank accounts to have the same amount of money in them.
Hope this helps :)
What is the slope of the line with the following points?
Point A (10, 6)
Point B (15, 10)
Answer:
i believe it is 4/5
Step-by-step explanation:
ABD and CBD form a linear pair . if m ABD = 6x-12 and m CBD = x + 31 find the m ABD
Answer:
m∠ABD = 126°
Step-by-step explanation:
if both angles make a linear pair then their sum equals to 180°
you can solve for x
m∠ABD + m∠CBD = 180
6x-12 + x+31= 180
7x + 19 = 180
7x = 161
x=23; now solve for
m∠ABD = 6x - 12 = 6(23) - 12 = 126°
The required measure of m ABD is 23.
What are linear pair of angle?In geometry, a linear pair of angles is a pair of adjacent angles formed when two lines intersect each other.
Now it is given that,
m ABD = 6x - 12 and m CBD = x + 31
Since, ABD and CBD form a linear pair
m ABD + m CBD = 180°
6x - 12 + x + 31 = 180°
7x + 19 = 180°
⇒ 7x = 180° - 19
⇒ 7x = 161
⇒ x = 161/7
⇒ x = 23
Thus, the required measure of m ABD is 23.
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Teddy has two sisters. One of them is 3 years younger than Teddy, the other one is 7 years younger than her only brother. How old was the older sisters when the younger sister was born?
Given:
Teddy has two sisters. One of them is 3 years younger than Teddy, the other one is 7 years younger than her only brother.
To find:
The age of older sister at the time when the younger sister was born.
Solution:
Let the age of Teddy be x.
One sister is 3 years younger than Teddy.
Age of one sister = x-3 years
The other one is 7 years younger than her only brother. It means other sister is 7 years younger than Teddy.
Age of other sister = x-7 years
Clearly (x-3) > (x-7). So, difference between the ages of sisters is
[tex]Difference=(x-3)-(x-7)[/tex]
[tex]=x-3-x+7[/tex]
[tex]=4[/tex]
Therefore, the age of older sister is 4 years when the younger sister was born.
Answer:
d
Step-by-step explanation:
If an equilateral triangle has a side lengths of 8 units , what is the height of the triangle
Answer:
8
Step-by-step explanation: each side is equal so 8
The height of the equilateral triangle for the given side length is equal to ( 4√3 ) units or approximately 6.93 units (rounded to two decimal places).
In an equilateral triangle, the height is the line segment perpendicular to one side of the triangle and passing through the opposite vertex.
For an equilateral triangle with side length "s," the height "h" can be calculated using the formula:
h = ( √3 / 2) × 8
Where "s" is the side length of the equilateral triangle.
Here, the side length of the equilateral triangle is given as 8 units.
So, substituting the value of "s" into the formula:
⇒ h = ( √3 / 2) × 8
⇒ h = ( 8√3 / 2)
⇒ h = ( 4√3 ) units
Therefore, the height of the equilateral triangle is ( 4√3 ) units or approximately 6.93 units (rounded to two decimal places).
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ernesto tiene 18 metros de malla el desea cerca solo tres lados de un terreno rectangular , ya que una pared sirve de limite del cuarto lado
Answer:
Estoy prediendo espanol, as translate.
Step-by-step explanation:
please write the question properly
e an equation.
Question 1
A car travels 195 miles in 3 hours. Write an equation that
number of hours.
Answer:
y = 65x
Step-by-step explanation:
PLEASE QUICK:
Is the relation a function?
{(1, 3) (5,-2) (6, 0) (-4, 7) (1,9)]
No
Yes
Answer:
no
Step-by-step explanation:
there are 2 1's in that function
6 out of the 60 employees at the sports shop are part-time employees. What percentage of the employees at the sports shop work part-time?
Percentage of part time employees = (part-time employees/total employees) * 100 = (6/60) * 100 = 1/10 * 100 = 10%
find the value of p
Answer:
Let's take the angle LEFT to p to be "x".
80+30+x = 180
110+x = 180
x = 70
Finding p:
90+70+p = 180 (REASON: linear pair)
160+p = 180
p = 20
THEREFORE, THE VALUE OF 'p' IS 20°
What is the best estimate for 56.23 - 45.9?
A. 9
B. 10
C. 11
D. 15
Answer:
10 Letter B
Step-by-step explanation:
56.23 rounds down to 56 and 45.9 rounds up to 46. So 56 - 46 = 10
Given rectangle QUAD, if QU = 13, find DA.
Step-by-step explanation:
DA=13.................
Answer:
Da =13 as we know opp sides of rectangle are equal
Write an equation for the line in slope-intercept form.
Can someone check this for me! I am not sure if I did this right
9514 1404 393
Answer:
8 seconds
Step-by-step explanation:
Your answer is the time interval at which the projectile is at or above ground level.
The way I read the question, it is asking for the value of t when the projectile hits the ground. It is 8 (seconds). My answer to this question would be 8, or 8 seconds.
__
Comment
We cannot tell whether the answer is intended to include units, or not. The usual clues are missing here.
Plz answer question fast
Answer:
OSMOSIS AND GIVE ME BRAINLIIST
If the point (-1/2, y ) lies on the line whose equation is 2x - 3y = 6, what is the value of y ?
-7/3
Step-by-step explanation: is the answer for odyssey ware
sin 7A - sin A / (sin 8A + sin 2A)
Answer:
sin 7A/ sin 2A di ako sure na Tama yan sorry pero yan Ang sagot ko
The cost to produce t shirts for the Mock Trial team to sell for a fundraiswer is $35 for the design and $5.50 for each t shirt. The team members plan to sell the t shirts for $10 each. What is the break even point ( number of t shirts and cost at the break even point)?
Answer:
9 t-shirts are needed to be sold to break even
can yall plz plz help me
Answer:
the answer is 80000 is b
1. A = {ANKARA}
B = {}, C={Haftanın A harfi ile başlayan günleri}
ise s(A) + S(B) + s(C) toplamı kaçtır?
Answer:
Step-by-step explanation:
the anser is 4
Choose the lowest common denominator.
2 3 4 5 6 8 10 12
What is the image point of (0,9) after a translation left 1 unit and down 2 units?
Answer:-1,7
Step-by-step explanation:
The point after translation left 1 unit and down 2 units will be (-1, 7)
What is translation?A translation is a geometric transformation that moves every point of a figure, shape or space by the same distance in a given direction. A translation can also be interpreted as the addition of a constant vector to every point, or as shifting the origin of the coordinate system.
Given that, a point (0,9) is being translated left 1 unit and down 2 units
We know that, translation rule for, left and down is,
(x, y) = (x-a), (y-b) where a and b are units by which points are being translated.
Therefore,
(0, 9) = (0-1, 9-2)
= (-1, 7)
Hence, the point after translation left 1 unit and down 2 units will be (-1, 7)
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Given the system of equations:2x-y=7 5x+2y=4 write the system of equations in the form Ax=B, where A,X and Bare matrices.
Answer:
Step-by-step explanation:
Here, we want to write the equations in the form of matrix
To do this we simply make sure that the coefficients of any given variable are on the same side of the matrix to first form a 2 by 2 matrix
Then we proceed to use the variables to form a 1 by 1 matrix by side and then finally the results forming another 1 by 1 matrix by the side
Please check attachment for complete representation
Brian and leo are purchasing food at the snack bar. Brian purchases a hot dog for $2.35, chips for $1.65 and a drink for $2. Leo purchased a hamburger for $3, fries for $2.45 and a drink for $2. How much did they spend altogether on food?
Answer:
$13.45
Step-by-step explanation:
add all of the money:
2.35+1.65=4
2+3=5
2.45+2=4.45
add 4, 5, and 4.45 together
13.45
Which is $13.45
Which graph represents the function f(x) = |x|– 4?
Answer:
It is graph C
Step-by-step explanation:
Answer: Graph C
Step-by-step explanation: On Edge
The proof that UX ≅ SV is shown.
Given: △STU an equilateral triangle
∠TXU ≅ ∠TVS
Prove: UX ≅ SV
Triangle T X V is shown. Point S is on side T X and point U is on side T V. A line is drawn from points S to U to form equilateral triangle T S U. Lines are drawn from point S to point V and from point U to point X and intersect at point W.
What is the missing statement in the proof?
Statement
Reason
1. ∠TXU ≅ ∠TVS 1. given
2. ∠STV ≅ ∠UTX 2. reflex. prop.
3. △STU is an equilateral triangle 3. given
4. ST ≅ UT 4. sides of an equilat. △ are ≅
5. ? 5. AAS
6. UX ≅ SV 6. CPCTC
△SXU ≅ △TVS
△UVX ≅ △SXV
△SWX ≅ △UWV
△TUX ≅ △TSV
Mark this and return
Answer:
D
Step-by-step explanation:
Edge
Answer:
D
Step-by-step explanation:
What is the vertex of the graph?
Answer:
The point (x, y) → (-5, 0) is the vertex of the graph.Step-by-step explanation:
As the given graph represents Parabola
As we know that Parabolas always contain the lowest point, or the highest point if any given parabola is upside-down. This lowest or highest point is the location where the parabola tends to change its direction and called the 'vertex'.Hence, from the given graph, we can easily determine that the parabola changes its direction at x = -5, and y = 0.
Therefore, the point (x, y) → (-5, 0) is the vertex of the graph.A population of values has a normal distribution with μ=152.8 and σ=26.2 . You intend to draw a random sample of size n=94 . Find the probability that a single randomly selected value is less than 149.6. P(X < 149.6) =
Answer:
P(x < 149.6) = 0.11821
Step-by-step explanation:
We start by calculating the z-score of the parameter given
Mathematically,
z-score = (x-mean)/SD/√n
z-score = (149.6-152.8)/26.2/√94
z-score = -3.2/2.70
z-score = -1.18
So the probability we want to calculate is;
P( x < -1.18)
we can use the standard normal distribution table to get this
From the standard normal distribution table, this value is 0.11821
Two cyclists are 7 miles apart when they begin biking away from each other in opposite directions. The speed of the first cyclist is 12 miles per hour. The speed of the second cyclist is b miles per hour greater than the speed of the first cyclist.
How many miles does the first cyclist bike in 45 minutes?
Answer: 9 miles
Step-by-step explanation: 12 mph/60 so you can get mpm(miles per minutes)
Multiply the 0.2x45 (0.2 from 12/60 and 45 from how long the first biker had ridden on his bike)
Answer 9 miles
ANSWER ASAPPP!!!!!!!!!!! please
Answer:
Neither.
Step-by-step explanation:
Note that both images are a backwards "L". If it was a reflection in the y axis, one would be an "L".
Answer:
neither
Step-by-step explanation:
No, this is not a reflection.
Please solve the problem below
