Answer:
85 miles
Step-by-step explanation:
He needed to travel a total of 210 miles
He had already traveled 125 miles on bus
And he traveled the rest of the length on the train
If we want to find the distance he traveled on train we simply subtract total distance by distance traveled on bus
So distance traveled on train = 210 - 125 = 85
So he traveled a total of 85 miles on train
Jamal puts $100 in an account that does not earn any interest. Every month after that, he deposits the same amount of money. This sequence represents his account balance for the first few months. $100, $125, $150, What is the explicit formula in function form for the amount of money in his account at the beginning of month n?
Answer:
Tn = 75+25n
Step-by-step explanation:
The balance are in arithmetic progression
$100, $125, $150...
The formula for calculating the nth term of the sequence is expressed as;
Tn = a+(n-1)d
a =100
d = 125 - 100 = 150 - 125
d = 25
n is the number of terms
Substitute
Tn = 100+(n-1)*25
Tn = 100 + 25n-25
Tn = 75+25n
Hence the nth term of the sequence is Tn = 75+25n
Quadrilateral GHIJ is similar to quadrilateral KLMN. Find the measure of
side LM. Round your answer to the nearest tenth if necessary.
Answer:
LM = 24.3
Step-by-step explanation:
In terms of similar shapes, we know that the ratio of the value of one side to its corresponding side value is equal to another. In other words, we know that LK and HG are corresponding sides by looking at the quadrilaterals. The ratio of LK to HG is equal to the ratio of another pair of corresponding sides, such as LM and IH.
Therefore, the ratio of LK and HG (LK/HG) is equal to the ratio of LM and IH (LM/IH) . Make sure to keep the same quadrilateral's sides on top/bottom. In this example, LM and LK are on the same quadrilateral, and are therefore both on top. Similarly, IH and HG are of the same quadrilateral and are both on bottom. We can write this as
LK / HG = LM / IH
34/7 = LM / 5
Multiply both sides by 5
34*5/7 = LM
LM ≈ 24.2857
Rounding to the nearest tenth, LM = 24.3
Answer:
24.3
Step-by-step explanation:
if a triangle has one angle that measure 81 degrees and another that measures 47 degrees, what is the measure of the third angle?
Answer: 52
Step-by-step explanation:
81 + 47 is 128.
180 - 128 =52 degrees.
:)
A side of the triangle below has been extended to form an exterior angle of 129°. Find the value of x.
129° + x = 180°. [Linear pair]
=> x = 180° - 129°
=> x = 51°
Ryder used front end estimation to estimate the product of -24.98 - 1.29 what is the zestimate
Answer:
20
Step-by-step explanation:
The numbers whose product are to be obtained :
(–24.98)(–1.29)
To use front end approximation, numbers are rounded to the greatest place value :
For :
(-24.98) is rounded to - 20 (4 is rounded here to 0)
(-1.29) is rounder to - 1 (2 is rounded to 0)
Then, the product of the two numbers will be :
-20 * - 1 = 20
Joseph and Mark have $230. Joseph and Kevin have $130. Mark had 3 times as much money as Kelvin. How much money does Kelvin have?
Answer:
Step-by-step explanation:
Let's call Joseph "J", Mark "M", and Kevin "K" for ease. We need a system of equations to solve this, 3 equations for 3 unknowns. The first equation is
J + M = 230. The second equation is
J + K = 130. The third equation is
M = 3K. Sub that 3K into the first equation and get
J + 3K = 230. Now take th second equation and solve it for J:
J = 130 - K. Now sub 130 - K into the re-written first equation to get a whole new equation in terms of K only:
130 - K + 3K = 230 and
2K = 100 so
K = 50
Kevin has $50
Which equation is perpendicular
Answer:
option A
Step-by-step explanation:
[tex]y - 9 = \frac{2}{3} (x + 7)\\\\ y - 9= \frac{2}{3} x + \frac{14}{3}\\\\ y = \frac{2}{3} x + \frac{14}{3} + 9\\\\y = \frac{2}{3}x + \frac{14 +27}{3}\\\\y = \frac{2}{3}x + \frac{41}{3}\\\\[/tex]
Therefore, slope of the given line is
[tex]m_ 1 = \ \frac{2}{3}[/tex]
Find the slope of the new line
The product of slope of lines perpendicular to each other = - 1
That is ,
[tex]m_ 1 \times m_2 = - 1\\\\\frac{2}{3} \times m_ 2 = - 1\\\\m_ 2 = - \frac{3}{2}[/tex]
Find the equation of the line.
[tex]Let \the \ given \ points \ be \ ( x_ 2 , y _ 2 ) = ( 2 , 3 ) \\\\(y- y_2) = m_2 (x - x_ 2)\\\\( y - 3 ) = - \frac{3}{2}(x - 2)\\\\y = -\frac{3}{2}x + \frac{3 \times 2}{2} + 3\\\\y = - \frac{3}{2} x +3+3\\\\y = - \frac{3}{2} x +6\\\\[/tex]
Help please guys thank you so much
Answer:
Step-by-step explanation:
Clara gave (1/2) of formal dresses to her sister. After giving, she has 1/2
of formal dresses (1- 1/2 = 1/2).
Number of formal dresses that Clara has = [tex]\frac{1}{2}*d=\frac{1}{2}d[/tex]
Clara bought 4 more dresses
[tex]\frac{1}{2}d + 4 = 12[/tex]
What is the area of the figure shown below, in terms of π ?
(?+?π)square units
)) A farmer placed an order for 16 2/3 tons of fertilizer. He calculates that the corn fields
will require 8 5/6 tons of it. How much fertilizer will the farmer have left for his other crops?
Answer:
7 5/6
Step-by-step explanation:
16 2/3 - 8 5/6
16 4/6- 8 5/6
7 5/6
The ages of five children in a family are 6, 1, 3, 10, and 17. Which statement is true for this group of data?
mode>mean
median>mean
median=mode
mean>median
Answer:D - mean>median
Step-by-step explanation:
There are no repeating variables to have a mode so median and mean are the only options. The mean of this data set is 7.4 and the median is 6. Therefore mean greater than median
Please help I don’t know how to do this
Step-by-step explanation:
I cannot see all the answer options.
square garden, side length x.
area = x² (or x×x)
new area r = (x-p)(x+q) = x² - px + qx - pq =
= x² + (q - p)x - pq
3D printer. costs p in general.
makes x figurines.
material per figurine costs q.
costs per figurine r = q + p/x
as the printer costs themselves need to be distributed equally across all produced figurines.
investment account. q% pretty year.
p dollars starting balance.
letting it sit for x years.
a0 = p
a1 = a0 + a0×q/100 = a0 × (1 + q/100)
a2 = a1 + a1×q/100 = a1×(1 + q/100) = a0×(1 + q/100)²
a3 = a2 + a2×q/100 = a2×(1 + q/100) = a0×(1 + q/100)³
...
ax = a0×(1 + q/100) to the power of x =
= p × (1 + q/100) to the power of x
account without interest. p dollars are already in it.
adding q dollars every month for x months.
balance after these x months
r = x×q + p = q×x + p
In Which Quadrant is this true
Given:
[tex]\sin \theta <0[/tex]
[tex]\tan \theta <0[/tex]
To find:
The quadrant in which [tex]\theta[/tex] lie.
Solution:
Quadrant concept:
In Quadrant I, all trigonometric ratios are positive.
In Quadrant II, only [tex]\sin\theta[/tex] and [tex]\csc\theta[/tex] are positive.
In Quadrant III, only [tex]\tan\theta[/tex] and [tex]\cot\theta[/tex] are positive.
In Quadrant IV, only [tex]\cos\theta[/tex] and [tex]\sec\theta[/tex] are positive.
We have,
[tex]\sin \theta <0[/tex]
[tex]\tan \theta <0[/tex]
Here, [tex]\sin\theta[/tex] is negative and [tex]\tan\theta[/tex] is also negative. It is possible, if [tex]\theta [/tex] lies in the Quadrant IV.
Therefore, the correct option is D.
NEED HELLPPPPP !!!!
Answer:
x = 14
Step-by-step explanation:
Triagle GIA and Triangle GNT are congruent.
The roots of 7x^2 + x - 5 = 0 are a and b. Compute (a - 4)(b - 4). Thank you!
Answer:
Step-by-step explanation:
a = 7 ; b = 1 ; c = -5
D = b² - 4ac
= 1 - 4*7*(-5)
= 1 + 140
= 141
x =( - b ± √D ) / 2a
= (-1 ± √141)/2*7
= (-1±√141) / 14
[tex]a = \frac{-1+\sqrt{141} }{14}= \frac{-1+11.87}{14}= \frac{10.87}{14}=0.78\\\\b = \frac{-1-\sqrt{141}}{14}= \frac{-1-11.87}{14}= \frac{-12.87}{14}=3.59\\\\\\[/tex]
(a -4 )(b -4) = (0.78 - 4)(-3.59-4) = (-3.22)(-7.59)
= 24.4398
HELP!!!!
Best answer gets brainliest.
Answer:
t-6=7 .................
Answer:
t - 6 = 7
Step-by-step explanation:
which graph shows the solution to this system of linear inequalities?
Answer:
c or b
tep-by-step explanation:
10 points!!!!! Do 14 and 15 only hurry please.
Answer:
8. x = 16
9. x = 10
14.
m ∠RSU = 130°
m ∠UST = 50°
15.
m ∠RSU = 124°
m ∠UST = 56°
Step-by-step explanation:
8.
Given ∠DEF is bisected by EG. That is , ∠DEG = ∠GEF
That is , (x + 15)° = 31°
x = 31 - 15 = 16
9.
Given ∠DEF is bisected by EG. That is , ∠DEG = ∠GEF
That is ,
(6x - 4)° = 56°
6x = 56 + 4
6x = 60
x = 10
14.
13x + 5x = 180° [straight line angles ]
18x = 180
x = 10
m ∠RSU = 130°
m ∠UST = 50°
15.
4x + 12 + 2x = 180° [ straight line angles]
6x = 180 - 12
6x = 168
x = 28
m ∠RSU = 4(28) + 12 = 112 + 12 = 124°
m ∠UST = 2(28) = 56°
Answer:
14. 13x+5x
=18x
180(angles on a st. line)= 18x
180/18
=10
RSU=13*10=130
UST=5*10=50
Where are the asymptotes of f(x) = tan (4x-pi) from x=0 to x= pi/2
A. X= pi/4, x=3pi/4
B. 0, x=pi/4
C. X=pi/2, x=3pi/2
D. X= 3pi/8, x=5pi/8
Step-by-step explanation:
the asymptotes of f(x) :
(4x-π) = π/2
4x = 3π/2 => x = 3π/8
(4x-π) = 3π/2
4x=5π/2 => x = 5π/8
the answer is
D. X= 3pi/8, x=5pi/8
4.5c=9
C=
Pls help me
Answer:
c =2
Step-by-step explanation:
4.5c/4.5=9/4.5
c =2
Given that X = - 2 and y = 4 , Evaluate the expression. 5y – 4x
Answer: 28
Step-by-step explanation: 5(4)-4(-2) which is 20+8 and that is 28.
Find the value of x in the isosceles triangle shown below.
how u work it
and answer
Answer:
B
Step-by-step explanation:
So if B is the midpoint of AC, AB must be 1/2 of AC.
If D is the midpoint of AB, it must be 1/2 of 1/2 of AC, which is 1/4 of AC.
So AC= 4 DB
What’s the equation of the blue line?
Answer:
Step-by-step explanation:
The equation of blue line A is x = 1.
That of blue line B is y = 4.
Which equation represents a quadratic function with a leading coefficient of 2 and a constant term of –3?
Answer:
[tex]2x^{2} +bx-3=0[/tex]
Step-by-step explanation:
General form. A quadratic function [tex]f(x)[/tex] is of the form [tex](ax^2+bx+c)[/tex] where [tex]a,b,c[/tex] ∈ R or C and [tex]a[/tex] ≠ [tex]0[/tex].
We obtain an equation when [tex]f(x)=0[/tex]
⇒ [tex]ax^{2} +bx+c=0[/tex] is an quadratic equation.
Solution.
Given, [tex]a=2,c=-3[/tex], but b is not given
Thus the quadratic function with leading coefficient [tex]a=2[/tex] and constant term [tex]c=-3[/tex] is given by
[tex]f(x)=2x^{2} +bx-3[/tex]
∴ the required quadratic equation is
[tex]2x^{2} +bx-3=0[/tex]
x
+
5
y
=
20
x
+
3
y
=
14
Answer:
A) x + 5y = 20
B) x + 3y = 14
Multiplying A) by -1
A) -x -5y = -20 then adding B)
B) x + 3y = 14
-2y = -6
y = 3
x = 5
Step-by-step explanation:
Find the value of x in The parallelogram.
Answer:
11
Step-by-step explanation:
those alternate angles are equal to each other
5x+4=59
5x=55
x=11
Answer:
(5x + 4) = 59
5x = 59 - 4
5x = 55
x = 55/5
x = 11
Find the values of a and b that make the second expression equivalent to the first expression. Assume that x > 0 and y ≥ 0.
Answer:
a= 16
b= 2
Step-by-step explanation:
edge 2021
Answer:
a=16 and b=2
Step-by-step explanation:
next one is B.
If (a,3) is the point lying on the graph of the equation 5x + 2y = -4, Then find a.
Answer:
I've attached the Answer
Answer:
a = - 2
Step-by-step explanation:
Given x = a, y = 3 lies on the equation. That is the values satisfies the equation when substituted.
Find a :
Equation : 5x + 2y = - 4
5 ( a ) + 2 ( 3) = - 4
5a + 6 = - 4
5a + 6 - 6 = - 4 - 6 [ subtracting both sides by 6 ]
5a + 0 = - 10
5a = - 10
a = - 2 [ dividing both sides by 5]
[ fact check : If (-2 , 3 ) lies on the equation : 5x + 2y = - 4
5(-2) + 2( 3 ) = - 4
- 10 + 6 = - 4
- 4 = - 4 ]
A car covered 450km in 5 hours. find the speed in meters per second
Step-by-step explanation:
Hey there!
Given;
Distance (d) = 450 km = 450*1000 = 450000 m
Time(t) = 5 hours = 5*60*60 = 18000s
Now;
Speed (s) = Distance (d) /Time(t)
Or, s = 450000/18000
Or, s = 25m/s.
Therefore, the speed is 25m/s.
Hope it helps!
Answer:
The car has a velocity of 25 m/s.
Step-by-step explanation:
There are two ways to solve this problem.
First way :
450km = 450.000m
5h = 5x 3.600s =18.000s
v = s/t = 450.000 / 18.000 = 25m/s
Second way :
Velocity = speed/time = 450 / 5 = 90 km/h
90/3.6 = 25 m/s
Either way, the car has a velocity of 25 m/s.
