If Speed = dist/time, then;
dist = speed * time
We also know that both of them travel the same distance, so we equate the distance travelled to each other
36 * x+45 = 72 * x
36x + 1620 = 72x
72x - 36x = 1620
36x = 1620
x = 1620/36
x = 45 miles
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need some help with these!!
Answer:
RS = XY
Step-by-step explanation:
Corresponding sides will be equal. So
RS = XY
Ms. Mary spent $192 less than Ms.Mona on supplies for their class. Together they spent a total of $988. How much did each person spend?
Answer:
Ms. Mona and Ms. Mary spent $590 and $398 respectively.
Step-by-step explanation:
Total spent= $988
Ms. Mary +Ms. Mona= $988
Since Ms. Mary spent $192 less than Ms. Mona,
(Ms. Mona -$192) +Ms. Mona= $988
2(Ms. Mona)= $988 +$192
2(Ms. Mona)= $1180
Amount Ms. Mona spent
= $1180 ÷2
= $590
Since Ms. Mary spent $192 less than Ms. Mona,
amount Ms. Mary spent
= $590 -$192
= $398
Alternatively, since the total spending is $988,
amount Ms. Mona spent
= $988 -$590
= $398
Tex's Taco Truck serves tacos on either hard or soft shells. Yesterday, Tex's Taco Truck sold 5 hard-shell tacos for every 2 soft-shell tacos. If Tex's Taco Truck sold 39 more hard-shell tacos than soft-shell tacos yesterday, how many hard-shell tacos did it sell?
Answer:
65 hard-shells
26 soft shells
Step-by-step explanation:
5 x 13 = 65
2 x 13 = 26
65 - 26 = 39
describe these sets 2,4,8,16,32,64
Answer: They are all divisible by 2.
Step-by-step explanation: They all have 2 in common. If you divide them by 2, they all work. Also, if you simplify all to the lowest number, they equal 2 except 2 itself which equals 1.
Answer:
divisible by 2 luv
Step-by-step explanation:
These points are linear.
Find the slope.
m = [?]
NEED HELP ASAP (ILL GIVE BRAINLIST)
Answer:
the answer is 33 9/11
Step-by-step explanation:
multiply the fractions
.
.
Answer:
33 9/11
Step-by-step explanation:
22 6/11 x 1 1/2
Convert into improper fractions.
248/11 x 3/2
Reduce the numbers with the greatest common factor 2.
124/11 x 3
Calculate
372/11
=33 9/11
Hope this helps :)
A line is defined by the equation Y=2/3x-6 the line passes through a point whose y coordinate is 0 what is the x coordinate of this point
Answer:
x = 9
Step-by-step explanation:
y = (2/3)x - 6
y coordinate is 0
0 = (2/3)x - 6
Add 6 to both sides
6 = (2/3)x
multiply both sides by 3/2
9 = x
x = 9
Find the equation of the line through (−8,1) which is perpendicular to the line y=−x/2−6.
Give your answer in the form y=mx+b.
Linear equations can represent parallel lines, perpendicular lines and lines with no relationship at all.
The equation of the line in form of y =mx + b is [tex]\mathbf{y = 2x + 17}[/tex]
The equation is given as:
[tex]\mathbf{y =-\frac x2 - 6}[/tex]
For a linear equation y = mx + b, the slope of the equation is m
So, by comparison:
[tex]\mathbf{m =-\frac 12}[/tex]
The relationship between the slopes of perpendicular lines is:
[tex]\mathbf{m_2 =-\frac 1{m_1}}[/tex]
So, we have:
[tex]\mathbf{m_2 =-\frac 1{-1/2}}[/tex]
[tex]\mathbf{m_2 =2 }[/tex]
This means that, the slope of the line that passes through point (-8,1) is 2
The line equation is then calculated as:
[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]
This gives
[tex]\mathbf{y = 2(x + 8) + 1}[/tex]
Open brackets
[tex]\mathbf{y = 2x + 16 + 1}[/tex]
Simplify
[tex]\mathbf{y = 2x + 17}[/tex]
Hence, the equation of the line in form of y =mx + b is [tex]\mathbf{y = 2x + 17}[/tex]
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What is the probability that you will be able to draw all of the cards in the deck without being forced to stop because you have $0 in your pocket?
Step-by-step explanation:
Probability will be 0 According to me!!
Mark me BRAINLIESTalso need help with this one
Answer:
x=8°
Step-by-step explanation:
Let's make an equation with this problem, since all side have to add up to 180 degrees we can solve it
(5x-2)+(9x+3)+(11x-21)=180°
lets add up light terms
25x-20=180°
add both sides by 20 and we get 25x=200°
divide both sides by 25 and we get x=8°
Suppose that u⃗ =⟨8,−2⟩ and v⃗ =⟨5,−5⟩. What is the angle between u⃗ and v⃗ , rounded to the nearest degree?
9514 1404 393
Answer:
31°
Step-by-step explanation:
One way to find the difference angle is to look at the angle of the quotient. We can use complex numbers to represent the vectors for the purpose of that math. The magnitude is not important in this problem, so we do not have to finish the division.
(8 -2i)/(5 -5i) = (8 -2i)(5 +5i)/((5 -5i)(5 +5i)) = (40 -10i +40i +10)/( )
The numerator is 50 +30i, which has an angle of ...
arctan(30/50) ≈ 30.96° ≈ 31°
_____
Additional comment
Effectively, we have found the angle as the angle of the product of one vector with the conjugate of the other, when written as complex numbers. In vector terms, you might use the definition of the dot product. That seems to take a lot more math.
u·v = |u|×|v|×cos(θ)
θ = arccos(u·v/(|u|×|v|))
θ = arccos((8·5 +(-2)(-5))/√((8² +(-2)²)(5² +(-5)²))) = arccos(50/√3400)
Which of the expressions are equivalent to the one below? Check all that apply. (8 + 3) + 4 O = A. (8 + 4) = 3 B. 8. (3 + 4) OC. (3 + 8) = 4 O 8) D. (3 + 4) : (8 + 4) SUBMIT
Answer:
C
Step-by-step explanation:
known by checking all the answers for chooses
Express 0.03 as a percentage of 1
Answer:
3%
Step-by-step explanation:
[tex] \frac{0.03}{1} \times 100[/tex]
0.03=3/100 So
[tex] \frac{3}{100} \div 1 \times 100[/tex]
=3%
The vertex of a parabola is (-1, 4). What is the equation of the axis of symmetry of the parabola?
Answer:
x = - 1Step-by-step explanation:
The vertex is given (-1, 4).
The axis of symmetry is a vertical line and passes through vertex.
Since the x- coordinate of vertex is - 1, the line of symmetry is x = - 1.
Answer:
x=-1
Step-by-step explanation:
Parabola is symmetric on both sides of the vertex
The axis of symmetry is the x coordinate of vertex
Here the vertex is (-1,4)
So axis of symmetry is x=-1
A is the point with coordinate (2,10)
B is the point with coordinate (5,d)
The gradient of the line AB is 4
Work out the value of d
Answer:
d = 22
Step-by-step explanation:
Substitute given slope and A to the equation y = mx + b to find b
y= mx + b
10 = 4.2 +b
10 = 8 + b
10 - 8 = 8 - 8 + b
b = 2
Then we have y = 4x + 2 when we substitute b and m.
They give x value of point B, we can plug it in and find y value which is d in this question.
y = 4x + 2
y = 4.5 +2
y = 22
Therefore, d = 22
determine if you can use the hypotenuse-leg congruency property to prove the triangles are congruent
Answer:
4. We don't know if they're right triangles
Step-by-step explanation:
If you could assume that the triangles are right triangles, then you would be able to prove congruency with HL. In this case however, the angles are not given so you can't assume anything.
Can someone please help me I will mark u brilliant
Please help! How to do this? Ill give brainly
Answer:
c=60
d=45
Step-by-step explanation:
3c=180
c=60
4d=180
d=45
4
b(x) = 16.22 – 25
bx)
Use the drop-down menus to factor the expression and find the zeros of b(x).
Answer:
1) (4x)² - (5)²
2) (4x + 5) (4x -5)
3) Zeros of b are [tex]\frac{5}{4}[/tex] and [tex]\frac{-5}{4}[/tex] (can also be 1.25 and -1.25)
The angle of elevation of the top of a cliff from the point Q on the ground is 30°. On moving a distance of 20
m towards the foot of the cliff the angle of elevation increases to xº. If the height of the cliff is 17.3 m, then
find xo
On moving a distance of 20m towards the foot of the cliff the angle of
elevation increases to 60° .
The situation forms 2 right angle triangle.
The height of the cliff is the opposite side of the 2 triangles formed.
Using trigonometric ratio, the bigger triangle can be represented as
follows:
tan 30 = opposite / adjacent
Let the distance from point Q to the foot of the cliff be d.
Therefore,
tan 30° = 17.3 / d
d = 17.3 / tan 30
d = 17.3 / 0.57735026919
d = 29.9644789709
d ≈ 30 m
Let's find the new angle when he moves 20 m towards the foot of the cliff.
The smaller triangle formed is used to find the new angle.
Therefore,
The new distance from the foot of the cliff (adjacent side) = 30 - 20 = 10 m
tan x° = 17.3 / 10
tan x° = 1.73
x = tan ⁻¹ 1.73
x = 59.9705982385
x ≈ 60°
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Write an equation for the nth term of the arithmetic sequence −3, 2, 7, 12, Then find a50.
The equation is =___
Answer:
Pretty much f(n)=-3+5n-1
Step-by-step explanation:
for the 50th term 242
Which value is a solution of the inequality x∕5 + 2 ≤ 6?
[tex] \rm \frac{x}{5} + 2 \leqslant 6[/tex]
[tex] \rm x + 2 \leqslant 6 \times 5[/tex]
[tex] \rm x + 2 \leqslant 30[/tex]
[tex] \rm x \leqslant 30 - 2[/tex]
[tex] \rm x \leqslant 28[/tex]
[tex]\dfrac x5 +2 \leq 6 \\\\\\\implies \dfrac x5 \leq 4 \\\\\\\implies x \leq 20 \\\\\text{Interval,} ~ (-\infty, 20][/tex]
Alice uses a table to record the number of black cars, b, that passed by her house in h hours.
b is directly proportional to h.
Answer:
1/2
Step-by-step explanation:
b is directly proportional to h.
b = kh
take any (h, b) point
using (28, 14)
14 = k(28)
Divide both sides by 28
1/2 = k
1/2
Question 2 of 33
Which of the following is equivalent to the expression below when x20?
VP+ √25x² – 5xfx
O A. 11x/
В. xx
C. 1268- 5x
D. 67-5xxx
SUBMIT
1. If (3,-5) is an ordered pair of the
function F(x), which of the following
must be an ordered pair of the
inverse of F(x)?
Answer Choices:
(3,-5)
(3,5)
(-5,3)
(5,-3)
Answer:
(-5,3)
Step-by-step explanation:
for a function, an x input produces a y output.
the inverse of that function would, when given the y value as an input, have the x value as the output. The x and y values change places.
Find the value of X in each case
x = 49° [ Alternate angles are equal]
4x = 4 × 49 = 196°
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If I have a triangle and one angle is 25 degrees and I have to find the exterior angles by doing (2X+3) and (3x-17)
Amanda has $5200 in a savings account that earns 4% simple interest annually. What is the value of her account in 5 years?
Answer:
6,240
Step-by-step explanation:
You start off with 5200, if she earns 4% each year for the next 5 years, she would earn a total of 20% more than what she had now.
You would multiply 5,200 by 1.20 Which equals the answer (above)
PLEASE HELP!! REWARDING LOTS OF POINTS!
Step-by-step explanation:
check the attached file
Please help Fraction yes or no
Answer:
Hmm I would say maybe yes
Step-by-step explanation: