Given:
A car traveled 150 km in 3 hour.
To find:
The unit rate.
Solution:
We have,
Distance = 150 km
Time = 3 hours.
In this case speed is the unit rate.
[tex]Speed=\dfrac{Distance}{Time}[/tex]
Substituting the given values, we get
[tex]Speed=\dfrac{150\text{ km}}{3\text{ hr}}[/tex]
[tex]Speed=50\text{ km/h}[/tex]
Therefore, the unit rate is 50 km/h.
Subtract: (-137° + 6) - (-43°) Your answer should be in simplest terms. Enter the correct answer.
Answer:
-9y⁹ + 6
Step-by-step explanation:
Subtracting a negative makes it positive
-13y⁹ + 6 + 4y⁹
combine like terms
-9y⁹ + 6
What is 2x^2(x-5) divided by 10x when x + 10?
Answer:
1000
Step-by-step explanation:
2x²(x - 5) ÷ 10x
x = 10
2(10)²(10 - 5) ÷ 10(10)
20²(5) ÷ 100
100² ÷ 100
100000 ÷ 100
1000
What are the ordered pairs for all of the points
Answer:
A ( 3 , 4 )
B ( -3 , 2 )
C ( -2 , -4 )
D ( 6 , -3 )
E ( 0 , 0 )
Step-by-step explanation:
remember that x values go first and then y values ( x , y )
Which sequences are geometric? Check all that apply.
Step-by-step explanation:
A geometric sequence is when we multiply one number by a set rate to obtain the next number.
For the first one, we multiply 5 by 2 to get 10, 10 by 2 to get 20, and so on. This is geometric
Next, we multiply 3 by 4 to get 12, 12 by 4 to get 48, and so on. This is geometric
Next, we multiply 3 by 5 to get 15, 15 by 5 to get 75, and so on. This is geometric
Next, we multiply 8 by 15/8 to get 15, and 15 by 5 to get 75. 15/8 and 5 are not the same so this is not geometric
Next, we multiply 14 by 21/14 to get 21, and 21 by 28/21 to get 28. 21/14 and 28/21 are not the same so this is not geometric
Next, we multiply 17 by 20/17 to get 20, and 20 by 23/20 to get 23. 20/17 and 23/20 are not the same so this is not geometric.
Finally, we multiply 2 by 5 to get 10, 10 by 5 to get 50, and so on. This is geometric
(04.02 MC)
4
What is the y-intercept of the line perpendicular to the line y = x + 1 that includes the point (4, 1)?
Answer:
The intercept of the line perpendicular to the line [tex]y = x + 1[/tex] is 5.
Step-by-step explanation:
The line [tex]y = x + 1[/tex] has a slope 1. By Analytic Geometry, the slope of the line perpendicular to the original line is determine by the following formula:
[tex]m_{\perp} = -\frac{1}{m}[/tex] (1)
Where:
[tex]m[/tex] - Slope of the original line.
[tex]m_{\perp}[/tex] - Slope of the line perpendicular to the original line.
If we know that [tex]m = 1[/tex], then the new slope is:
[tex]m_{\perp} = -\frac{1}{1}[/tex]
[tex]m_{\perp} = -1[/tex]
A line is defined by the following expression:
[tex]y = m\cdot x + b[/tex] (2)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]m[/tex] - Slope.
[tex]b[/tex] - Intercept.
If we know that [tex](x,y) = (4,1)[/tex] and [tex]m = -1[/tex], then the intercept of the line perpendicular to the original line:
[tex]b = y - m\cdot x[/tex]
[tex]b = 1+4[/tex]
[tex]b = 5[/tex]
The intercept of the line perpendicular to the line [tex]y = x + 1[/tex] is 5.
Lee ran a mile in 7 1/3 minutes. His friend Sam ran the same mile in 8 5/9 minutes. How many minutes faster did Lee run? (First answer will be the brainliest)
what is the volume of the following rectangular prism 9/5 units 2/3 units
Answer:
1.2
Step-by-step explanation:
9/5*2/3=1.2
simplify 26a+4a-10a
Answer:
20a
Step-by-step explanation:
26a+4a-10a=30a-10a=20a
Answer:
20a
Step-by-step explanation:
26a+4a-10a
since they are like terms u can add and subtract them
=30a-10a
=20a
14 is what % of 89 if you choose a random answer you will be reported
Answer:
15.73 %
Step-by-step explanation:
Given :-
14 is what % of 89 .For finding% :-
→ 14/89 * 100
→ 15.73 %
Answer:
15.73% to the nearest hundredth.
Step-by-step explanation:
14/89 = 0.157303
Now multiply by 100
This gives 15.7303 %
Find the circumference
Answer:
75.36 mi
Step-by-step explanation:
Given :-
Radius = 12 mi .We know :-
→ Circumference = 2 π r
→ C = 2 * 3.14 * 12 mi
→ C = 75.36 mi
Answer:
Step-by-step explanation:
circumference of a circle=2πr
=2*3.14*12
=24*3.14
=75.36 mi
Can pls someone help I need help
Amelia is taking a road trip. She drove 250 miles the first day. If 250 is 40% of her total distance, how many miles is her roadtrip in all?
Answer: 625 miles
Step-by-step explanation:
100-40=60
so she has 60% for her distance so lets munis 40 from it and add 250 to 250
250+250=500
60-40=20
20 is half of 40 so whats half of 250? its 125
so she drove 625 miles for her road trip 2 and 1/2 a day
A• 3.7
B• 3.8
C• 5.3
D• 5.4
Answer:
D 5.4
Step-by-step explanation:
The pythagoras theorem states that a² + b² = c²
2² + 5² = ?²
4 + 25 = ?²
29=?²
? =
[tex] \sqrt{29} [/tex]
? = 5.4 rounded 2 sig fig one decimal place
HELP ASAP- IF YOU ARE CORRECT I WILL MARK BRAINLY
The Answer is:
B) -3/2
What’s a converse in mathematics
Answer:
A converse is the result of reversing its two constituent statements.
Example, P-Q. Converse would be Q-P
Can someone tell me which one it is?
Answer:
-16
Step-by-step explanation:
-16... using d = b²-4ac
Answer:
the discriminant is –16
hope this helps!
Claire's music playlist contains songs she bought and songs her mother bought. The ratio of her songs to her mother's songs is 3:2. Which table shows this ratio and two equivalent ratios?
Answer:
B.
Step-by-step explanation:
The ratio of Claire's songs to her mother's songs = 3 : 2
A.
3 : 2 = 3/2
9 : 6 = 9/6 = 3/2
12 : 10 = 12/10 = 6/5
B.
3 : 2 = 3/2
6 : 4 = 6/4 = 3/2
15 : 10 = 15/10 = 3/2
C.
3 : 2 = 3/2
4 : 3 = 4/3
5 : 4 = 5/4
D.
3 : 2 = 3/2
4 : 6 = 4/6 = 2/3
20 : 30 = 20/30 = 2/3
The table which shows the correct ratio and two equivalent ratios is B
asma is drawing a picture of a tree.she drawss a 15m tree as 3cm in her drawing book. if a fruit acctualy hangs from branch 3 m from the ground how high must asma draw it to keep the proportion correct?
Answer:
0.6 cm
Step-by-step explanation:
she divided the the height of the tree 500, so the same factor has to be applied to everything else
3m * 1/500 = 0.6cm
which expression is equivalent to 1/2r + 8p - 3/4r -2p
A. 1/4r -6p
B. 1/4r +10p
C. 1/4r + 10p
D. 5/4r + 6p
Answer:
D.5/4r+6p
Step-by-step explanation:
hula kong hahha
PLEASE HELP!!!!!!!!!!!!!
Answer: I think E
Step-by-step explanation:
can someone help please.
Answer:
if im not mistaken is d hope you get it right
for the same girl again plz.
Answer:
Option A is correct
Step-by-step explanation:
Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
Hope it is helpful...Somebody help i need to find the value of x and classify the sides and angles
Answer:
a) x=18
b) 36 (2*18)
c) 54 (3*18)
d) I'm not exactly sure what it's asking for, so I don't know
Step-by-step explanation:
triangle sum theorem means the sum of every triangle is 180 degrees
so we can make this equation: 180 = 90 + 2x + 3x
solve and you get 18.
HELPP!!!!!x
And thanks!
Answer:
7/10 > 17/25
Step-by-step explanation:
17/25 and 7/10
The common denominator is 50
17/25 *2/2 =34/50
7/10 *5/5 = 35/50
35 > 34 so
35/50 > 34/50
7/10 > 17/25
can someone help with part A please??
Answer:
Step-by-step explanation:
4 days 9 hours 40 minutes
Find the circumference of a circle with diameter,
d
= 3.2m.
Give your answer rounded to 2 DP.
Answer:
[tex]circumference = \pi \: d \\ = 3.14 \times 3.2 \\ = 10.05 \: m[/tex]
Answer:
circumference=10.05 m
Step-by-step explanation:
radius =diameter/2
=3.2/2
=1.6 m
circumference=2πr
=2*3.14*1.6
=10.048 m
=10.05 m
Solve each equation. Show your work or explain your method. Each explanation is worth 2 points. A. 2(x - 3) = 14 b. 12 (x + 10) = 24 c. 1/6(x + 6) = 11
Answer:
A. 3x+2=14. 3×+2-2=14-2. 3×=12
B. 12(×+10)=24. (12)(×)+(12)(10)=24. 12+120=24. 12×+120-120=24-120
C. 12×= -96. 12×/12. -95/12 x= -8
solve for x round to the nearest tenth if necessary.
Answer:
20.4
Step-by-step explanation:
use trig relations with the angle 74˚
the sides we know are the hyp (74) and the adj side to 74˚ (x).
the trig function associated with hyp and adj is cos.
cos = adj/hyp.
cos 74˚ = x/74
0.27 = x/74
x = 20.39
x = 20.4
Answer:
20.4
Step-by-step explanation:
1. c = b · sin(C) / sin(B) = 20.39716
This is the equation to find x.
c = x
b = 74
C = ?
B = 90
2. C must be found. We know that A is 90 and B is 74.
3. 180 = 90 + 74 + C
According to the triangle sum theorem, the angles of every triangle would add up to equal to 180. This means we should add 90 and 74 first.
4. 180 = 164 + C
You must do 180 - 164 which equals 16.
5. C = 16
This means that 16 is what C equals. You can finally plug in the equation with all the gathered information
c = x
b = 74
C = 16
B = 90
4. x = 74 · sin(16) / sin(90) =
You could use a calculator to find the answer.
5. The answer you would get is 20.39716, but you need to round to the nearest tenth. The 3 behind the decimal is the tenth place but there is a 9 behind it meaning the 3 must be rounded up to a 4. This means that your answer to this problem is 20.4 when rounded to the nearest tenth.
How many four-digit integers contain only the digits 1, 2, 3, 4, and 5, with the property that no two consecutive digits are the same?
Answer:
120
Step-by-step explanation:
we solve this question by using permutation because the order matters
nPr
5P4 = 120
HELP ME PLEASE ASAP I HAVE TO GET THIS DONE TODAY OR ILL FAIL
Answer:
(1,-8)
Step-by-step explanation:
this is be because a rectangle is parralel so opposite ends will have equal sides, if you were to graph this, there would be a missing point in the spot (1,-8).
Answer:
(1,-8)
Step-by-step explanation:
Each of the set of points; (-7,8) and (-7,-8) is reflecting over either the x or y-axis. So therefore the second set of points would be (1,8) and (1,-8).