Answer:
A. $1.75 + $0.25x ≤ $15
Step-by-step explanation:
This is because if Eddie has 15 dollars, he can only use 15 dollars or less. So in this case, the inequality would have to be less than or equal to 15 dollars.
Eddie travel $1.75 + $0.25x ≤ $15 miles when he has $15 to spend.
Option A is the correct option.
Here,
Amount of flat fee of taxi cab = $1.75
Amount of charge for each miles = $0.25
The amount Eddie has to spent = $15
We have to find inequality relationship.
What is inequality?
The relationship between two values that are not equal is defined by inequalities.
Now,
Amount of flat fee of taxi cab = $1.75
Amount of charge for each miles = $0.25
The amount Eddie has to spent = $15
Let Eddie travel x miles.
Therefore, the total charge of taxi cab = $1.75 + 0.25x
And this amount should not exceed the $15 as it is the only amount Eddie has.
Hence the inequality relationship be,
$1.75 + 0.25x ≤ $15.
Option A is the correct option.
To visit more about inequality visit:
https://brainly.com/question/11613554
#SPJ2
Which of the following are linear measurements?
A) Length and width
B) Depth and height
C) Diameters, clearance, end play, and thickness
D) All of the above
Answer:
a. length and width
Step-by-step explanation:
option a is correct answer
PLS HELP ME WITH THIS
Answer:
so the answer is the second one. Hope this working helps
please help me
consult the image above
Answer:
if we assume that
tan = opp/adj
then we can find the hypotenus by using phytagoras law
h² = o² + a²
h² = (m-1)² + (2√m)²
h² = m² - 2m + 1 + 4m
h² = m² + 2m + 1
then we factorized become
h² = (m + 1)²
h = m+1
so for sin x = opp/hyp = (m-1)/(m+1)
hope this can help you.
In a group of students , 12 read maths, 15 read statistics , 11 read physics, 4 read maths only , 7 read statistics only, 3 read statistics and physics only and 1 read maths and statistics only . What is the number of the students who were there altogether ( universal set)
Answer:
23 students
Step-by-step explanation:
In a group of students , 12 read maths, 15 read statistics , 11 read physics, 4 read maths only , 7 read statistics only, 3 read statistics and physics only and 1 read maths and statistics only.
Those that read maths only = 4, Those that read statistic only =7, Those that read statistics and physics only = 3, those that read maths and statistics only = 1.
Therefore those that read all three subjects = 15 - 7 - 3 - 1 = 4
Those that read maths and physics only = 12 - 4 - 4 - 1 = 3
Those that read physics only = 11 - 3 - 4 - 3 = 1
The number students = 4 + 7 + 3 + 1 + 4 + 3 + 1 = 23 students
Which is a correct first step in solving 5 - 2x < 8x - 3?
5 < 6x-3
3x < 8x - 3
5 < 10x - 3
2 - 2x < 8x
Answer:
5< 10x -3
add like terms first
make sure X's are on one side and numbers on the other
Answer:
5 < 10x - 3
Step-by-step explanation:
5 - 2x < 8x - 3?
Add 2x to each side
5 - 2x+2x < 8x - 3+2x
5 < 10x - 3
Alvin and Simon shared £540 in the ratio 4:5
Alvin gave half of his share to Theo.
Simon gave a tenth of his share to Theo.
What fraction of the £540 did Theo receive?
Answer:
5/18
Step-by-step explanation:
540/9=60
60x4=240(Alvin's money)
60x5=300(simon's money)
Alvin gives half so you divide 240 by 2 which is 120
Simon gives a tenth so you divide 300 by ten which is 30
120+30=150
150/540=5/18 ( simpliest form)
Theo have 5/18 fraction of total amount of money.
Given that, Alvin and Simon shared £540 in the ratio 4:5.
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Now, 4+5=9
So, share of Alvin = 4/9 × 540
= 4 × 60
= £240
Then Simon share = 540-240 = £300
Theo's share = 1/2 × 240
=£120
Theo's share 1/10 of 300
=1/10 × 300
=£30
Total Theo's share = 120+30 =£150
Now, fraction = 150/540
=5/18
Therefore, Theo have 5/18 fraction of total amount of money.
To learn more about the ratio visit:
https://brainly.com/question/13419413.
#SPJ5
HELP MARK AS BRAINLIST
Answer:
12 square units
Step-by-step explanation:
formula= a+b/2×h
a=2
b=6
h=3
the answer will be = 2+6/2×3
=8/2×3
=4×3
=12
Answer:
17 square units i think
In ΔABC, ∠B measures 35° and the values of a and b are 19 and 11, respectively. Find the remaining measurements of the triangle, and round your answers to the nearest tenth. ∠A = 82.2°,∠C = 62.8°, c = 17.1 ∠A = 82.2°, ∠C = 62.8°, c = 12.4 ∠A = 22.5°, ∠C = 25.5°, c = 12.4 ∠A = 22.5°, ∠C = 25.5°, c = 17.1
Answer:
(A)∠A = 82.2°,∠C = 62.8°, c = 17.1
Step-by-step explanation:
In Triangle ABC
∠B=35°
a=19
b=11
Using Law of SInes
[tex]\dfrac{a}{\sin A} =\dfrac{b}{\sin B} \\\dfrac{19}{\sin A} =\dfrac{11}{\sin 35^\circ} \\11*\sin A=19*\sin 35^\circ\\\sin A=(19*\sin 35^\circ) \div 11\\A= \arcsin [(19*\sin 35^\circ) \div 11]\\A=82.2^\circ[/tex]
Now:
[tex]\angle A+\angle B+\angle C=180^\circ\\35^\circ+82.2^\circ+\angle C=180^\circ\\\angle C=180^\circ-[35^\circ+82.2^\circ]\\\angle C=62.8^\circ[/tex]
Using Law of Sines
[tex]\dfrac{c}{\sin C} =\dfrac{a}{\sin A} \\\dfrac{c}{\sin 62.8^\circ} =\dfrac{19}{\sin 82.2^\circ}\\c=\dfrac{19}{\sin 82.2^\circ}*\sin 62.8^\circ\\\\c=17.1[/tex]
Therefore:
∠A = 82.2°,∠C = 62.8°, c = 17.1
The correct option is A.
Answer:
it is a
∠A = 82.2°,∠C = 62.8°, c = 17.1
Step-by-step explanation:
give the other dude brainliest he is correct
what is the coefficient in the expression
3(m*)4+5
Pamela and her friend Nicole are each baking apple pies and tarts for a bake sale, using the same recipes. Pamela baked 5 apple pies and 7 apple tarts, using a total of 68 apples. Nicole made 5 apple pies and 9 apple tarts, which used 76 apples. How many apples does each dessert require?
Answer:
Each apple pie requires 8 apples, and each apple tart requires 4 apples.
Step-by-step explanation:
We see that both Pamela and Nicole bake the same amount of apple pies, but different amounts of apple tarts. Because of this, we can subtract the two to try to figure out the amount of apples for each apple tart. We subtract 68 from 76, giving us 8. Nicole baked 9 apple tarts, while Pamela baked 7, and 9-7=2. So we can bake two apple tarts with 8 apples, so one apple tart requires 4 apples (we divide by 2). Now that we know the amount of apples per each apple tart, we multiply 7 apple tarts that Pamela made by 4 apples, giving us 28. We subtract that from the total amount of apples Pamela used, which was 68, giving us 40. From this we can deduct that 5 apple pies need 40 apples, and we divide by 5, giving us 1 apple pie requires 8 apples.
the points A (1, 5), B (5, 5) and C (5, 1) are 3 corners of a square ABCD. what are the coordinates of D, the 4th corner
Answer:
(1,1)
This is the answer
Solve the system algebraically. -6x+3y=27 -5x-3y=-16
Answer:
A) -6x+3y = 27
B) -5x-3y = -16 We add the 2 equations
-11x = 11
x = -1
Putting 1 into equation B)
5 -3y = -16
-3y = -21
y = 7
Step-by-step explanation:
Plane V and Plane J intersect at which of the following?
they intesect at line a
PLease answer as soon as possible
Answer:
No
Step-by-step explanation:
Every x value in the domain should only have 1 y value. In the graph, for x=5 (the input) there are 2 y values (6 and -6) so this is not a function.
Answer:
no
Step-by-step explanation:
it fails the vertical line test. there is more than 1 y value per x value
Write a rational expression that simplifies to x-3,x≠1
Aswer:
[tex]\frac{(x-1)(x-3)}{x-1}[/tex]
Step-by-step explanation:
Answer:
x-3:m=1
Step-by-step explanation:
42kg in the ratio 1:5
Answer:
7 kg and 35kg
Step-by-step explanation:
hope it helps
A square has a side length of 3 inches. What is the length of the diagonal distance across the square ?
Answer:
4.243
Step-by-step explanation:
To calculate the diagonal of a square, multiply the length of the side by the square root of 2:
d = a√2
d = 3√2=4.24264068
Please help I’m stuck I would really appreciate it if you could help me in geometry <3
c will prove that b is parallel
Letters w, x, y, and z are angle measures. Lines r and s are intersected by line m. At the intersection of lines m and r, clockwise from the top, the angles are w, x, blank, blank. At the intersection of lines m and x, clockwise from the top, the angles are: 92 degrees, y, z, blank. Which should equal 92° to prove that r ∥ s? w x y z
Answer: Angle w and angle z should equal 92° to prove that r║s
Step-by-step explanation: Let us start by constructing the lines r and s, and then draw a transversal to intersect both lines as stated in the question. At the intersection of lines m and r, we have clockwise from the top angles w, x and the other two blank. This is as shown in the picture attached.
Also at the intersection of lines m and s, clockwise from the top, the angles are 92, y, z and a blank. This is also clearly marked in the picture attached.
If the two lines r and s are parallel, then it means;
(1) Angle 92 is equal to angle z (opposite angles are equal)
(2) Angle z is equal to the blank underneath angle x (corresponding angles on two parallel lines are equal)
(3) Angle 92 is equal to the blank underneath angle x (alternate angles on two parallel lines are equal)
(4) Angle 92 is equal to angle w (corresponding angles on two parallel lines are equal)
Therefore, of all four angles marked as w, x, y and z angles w and z should equal 92° to prove that line r is parallel to line s.
Answer:
Its W i took the test and got a 100
Which is a property of an angle
Answer:
it had made of two lines including an angle...
The table represents a linear function.What is the slope of the function?
The graph is X, -2,-1,0,1,2 and Y, -2,1,4,7,10
Answer:
the slope is 4/3
Step-by-step explanation:
use the formula:
m=[tex]\frac{y1-y2}{x1-x2}[/tex]
where x1 and y1 can be any point and x2 and y2 can be any point.
I used the last relation as my x1,y1 and second last relation as my x2,y2 because it is easier to subtract them.
[tex]\frac{10-2}{7-1}[/tex] which is 8/6 or 4/3
Answer:
3
Step-by-step explanation:
I took the test.
ANYONE, PLEASE ANSWER ALL THESE QUESTIONS AND I WILL MARK HIM/HER BRAINLIEST + 57 PTS.
1. A bag contains 15 balls of which 6 are red, the probability of getting a red ball at random from the bag is
A. 9/15:
B. 6/15:
C. 15/9:
D. 15/6:
2. In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
A. 8/21:
B. 2/7:
C. 1/3:
D. 2/3:
3. One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?
A. 1/13:
B. 1/4:
C. 9/52:
D. 3/13:
Descriptive Type Questions
4. What is the probability from two throws of a dice:
(a) For getting a sum 9 (b) For the total score is a prime number:
5. Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?:
Answer:
1.B
2.C
3.D
4.
a)1/9
b)5/12
5.2/5
Step-by-step explanation:
1.
Since there are 15 total outcomes of which 6 are desirable, the probability of randomly getting a red ball is 5/16 or choice B.
2.
Since there are a total of 8+7+6=21 outcomes, out of which 7 are neither red nor green, there is a 7/21=1/3 probability of that outcome, or answer choice C.
3.
Out of the 52 possible outcomes, 12 are face cards. Therefore, the probability of drawing a face card is 12/52=3/13, or answer choice D.
4.
a)
For each die, there are a total of 6 possible outcomes. This means that in total there are 6*6=36 possible combinations. Now, let's do some casework.
If the first die is a 3, then the second die must be a 6. If the first die is a 4, the second die must be a 5. If the first die is a 5, then the second die must be a 4. And if the first die is a 6, then the second die must be a 3. You cannot have any numbers less than 3, because then you would not be able to make the number 9. Therefore, there is a 4/36=1/9 chance of getting a sum of 9.
b)
All of the possible prime numbers that can be formed with the dice are 2, 3, 5, 7, and 11. For 2, there is only one possible situation where this can happen. For 3, there are 2 possible. For 5, there is 4-1, 3-2, 2-3, and 1-4, or 4 possibilities. For 7, there is 1-6, 2-5, 3-4, 4-3, 5-2, and 6-1, or 6 total possibilities. Finally, for 11, there is only 5-6 and 6-5, or 2 possible. In total, the probability of getting a prime sum is 15/36=5/12.
5.
The only numbers which are a multiple of 3 or 5 from 1 to 20 are: 3, 5, 9, 10, 12, 15, 18, and 20. This means that out of the 20 total possible options, 8 of them are a multiple of 3 or 5, which is a total chance of 2/5.
Hope this helps!
Find the solution of this system of equations.
Separate the x- and y-values with a comma.
x = -9 + y
-6x + 11y = 19
Answer:
Brainliest here!
Step-by-step explanation:
Solve using a online calculator
(-16,-7)
Answer:
x= -16, y= -7
Step-by-step explanation:
x= -9+y
-6x+11y= 19
---------
-6(-9+y)+11y=19
54-6y+11y=19
54+5y=19
5y= 19-54
5y= - 35
y= -35/5
y= -7
x= -9+(-7)= -16
Jacqui makes $35 an hour working as an accounting assistant. She works 40 hours each month. Jacqui will have made $___ after she’s worked 7 months.
Answer:
she'll have $9800
Step-by-step explanation:
35 (money in an hour) times 40 (hours each month) is 1400 (money mad in a month)
1400 times 7 (how many months) is 9800
Jacqui have earned $9800 after she’s worked 7 months.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Jacqui makes $35 an hour working as an accounting assistant.
She works 40 hours each month.
Here, number of hours she worked in 7 months
= 40×7
= 280 hours
Total money = 280×35
= $9800
Therefore, Jacqui have earned $9800 after she’s worked 7 months.
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ7
Work out 4 x (1+5-8)
Answer:
-8
Step-by-step explanation:
1+5=6
6-8=-2
4x-2=-8
Answer:
8
Step-by-step explanation:
if you want to work this out use the order of operationsparenthesis is first (1+5-8)we would first do 1 + 5 = 6then 6-8which the answer would make negative6 - 8 = -2then you would do a positive x negative4 x -2 = 8cause a positive x negative = positiveFactor the trinomial by grouping.
6x^2 - 7x-20
Answer:
(3x+4)(2x-5)
Step-by-step explanation:
You have 6x^2 - 7x-20, you add and take 8x so now you have
6x^2 - 7x +8x -8x -20 now you take 6x^2 and the +8x and factorize
6x^2 +8x = 2x( 3x +4 )
and you have -7x -8x-20 = -15x -20 factorize
-5(3x +4 ) add all up.
2x(3x +4) -5(3x +4) and you have
(3x+4)(2x-5)
A jar contains 3 black marbles, 4 white marbles and 5 striped marbles. If a marble is picked at random, what is the probability that it is black? Give your answer as a fraction in lowest terms.
Please help!!!
Answer:
1/4
Step-by-step explanation:
there is 3 black marbles and 3+4+5=12 total marbles. 3/12=1/4
, 8 technicians can test 560 samples in 36 hours. How long
(in days) can 15 technicians'test 525 samples?
Answer:
0.75 days (im a bit unsure but i tried my best, hope this helps :) )
Step-by-step explanation:
If it takes 8 technicians 36 hours to test 560 samples, find how many technicians can test 525 samples.
8: 560
x: 525
x= 7.5 (which is considered 7)
Then, find how long it takes to sample 525 samples, when 560 are done in 36 hours;
560: 36
525: x
x= 33.75 (which is considered 34 hours)
The last step is to check how long 15 technicians take to sample 525 samples when 8 can do the same number in 34 hours. this is inverse proportion so dont forget to flip one numerator and denominator
8; 34
15; x
it will become
15:34
8: x
x= 18 hours
Divide by 24 for days hence 0.75 days
anyone can help me figure this out ?
Answer:
The inverse is 1/4x
Step-by-step explanation:
f(x) = 4x
y = 4x
Exchange x and y
x = 4y
Solve for y
Divide each side by 4
1/4x = 4y/4
1/4x = y
The inverse is 1/4x
Answer:
y=(1/4)*x
Step-by-step explanation:
to inverse set f(x)=4x
as y=4x
next, change places y and x
4y=x
now, solve for y
4y=x
y=(1/4)*x
7. The length of a minute hand of a clock is 3.5cm. Find the angle it turns through if it
sweeps an area of 48 cm. (Taken=22/7)
(3 marks)
Page 2 of 3
Answer:
The angle it turns through if it sweeps an area of 48 cm² is 448.8°
Step-by-step explanation:
If the length of a minute hand of a clock is 3.5cm, to find the angle it turns through if it sweeps an area of 48 cm, we will follow the steps below;
area of a sector = Ф/360 × πr²
where Ф is the angle, r is the radius π is a constant
from the question given, the length of the minute hand is 3.5 cm, this implies that radius r = 3.5
Ф =? area of the sector= 48 cm² π = [tex]\frac{22}{7}[/tex]
we can now go ahead to substitute the values into the formula and solve Ф
area of a sector = Ф/360 × πr²
48 = Ф/360 × [tex]\frac{22}{7}[/tex] × (3.5)²
48 = Ф/360 × [tex]\frac{22}{7}[/tex] ×12.25
48 = 269.5Ф / 2520
multiply both-side of the equation by 2520
48×2520 = 269.5Ф
120960 = 269.5Ф
divide both-side of the equation by 269.5
448.8≈Ф
Ф = 448.8°
The angle it turns through if it sweeps an area of 48 cm² is 448.8°
