Let t = time in hrs for both to go 32 mi
Let s = Carl's speed in mi/hr
s + 2 = Caits speed in mi/hr
------------------------------------------------------------
Carl's equation:
(1) 24 = s · t
Cait's equation:
(2) 32 = (s+2) · t
-----------------------------------
(2) 32 = s · t + 2t
and
(1) s = 24/t
Plug (1) into (2)
(2) 32 = (24/t) · t + 2t
(2) 32 = 24 + 2t
(2) 2t = 8
(2) t = 4
and
(1) s = 24/4
(1) s = 6
The speed of Cait is 8 mph
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them. Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific variables in our day-to-day situations. But the need to depict these shifting values is ongoing. These values are frequently represented in algebra by symbols such as x, y, z, p, or q, and these symbols are known as variables. In order to determine the values, these symbols are also subjected to different addition, subtraction, multiplication, and division arithmetic operations.
Let x be the time in hours for both to go 32 miles
Let y be Carl's speed
Then Caits speed is = y+ 2
So, Carl's equation:
x y= 24
and, Cait's equation:
32 = (y+2) · x
32 = xy + 2x...............(1)
and, y = 24/x
Put the above value in equation (1)
(24/x) x + 2x = 32
2x+ 24 = 32
2x= 8
x=4
Also, y= 24/x= 24/4 = 6
Hence, speed of Cait is 8 mph
Learn more about Algebra here:
https://brainly.com/question/24875240
#SPJ2
Work out the percentage change to 2 decimal places when a price of £15 is decreased to £14.
Answer:
The total change is £21.02 from the original amount of £78.98. Therefore, the percentage change is directly related to the original amount.
so the answer in a percentage is 15.22%.
Step-by-step explanation:
Answer:
the answer is $ 15 is decreased to $ 14 = 6.67 percent.
Step-by-step explanation:
Mrs. Taylor earns $3,462 a month.
If she spends $1,958 a month and saves the rest,
how much will she save in 9 months?
Answer:
1m she saves 3.462-1.958=1.504
9m she saves 1.504*9=13.536
Step-by-step explanation:
Solve This
[tex]6 {}^{2} \times 6 {}^{3} [/tex]
[tex]( \sqrt{103} [/tex]
Hey there!
Question #1
6^2 × 6^3
6^2
= 6 × 6
= 36
6^3
= 6 × 6 × 6
= 36 × 6
= 216
36 × 216
= 7,776
6^2 × 6^3
= 6^5
• Question #1 answer: 7,776 or 6^5 either answer should work because both answers are equivalent
Question #2
√103
= 10.148892
• Question #2 answer: 10.148892
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Answer:
[tex] \small \sf \: 6 {}^{5} [/tex]
Alternate form: - 7776.
Step-by-step explanation:
1). 6² × 6 ³.
6² = 6 × 6 = 366³ = 6 × 6 × 6 = 2166² × 6³ = 36 × 216 = 7776.
Or,
6² × 6³
= [tex] \sf \small \: 6 {}^{2 + 3} [/tex]= [tex] \small \sf \: 6 {}^{5} [/tex]Lori is solving the equation 4x2 + 5x - 6 = 0 using the quadratic formula. Which
expression shows the correct numbers substituted into the quadratic formula to
solve?
Answer:
[tex] \frac{ - 5 + \sqrt{( {5})^{2} } - 4(4)( - 6) }{ 2(4)} [/tex]
3 2/3 +2.3 (theres a bar on top of the 3 in 2.3 ) =
A. 5
B. 5 2/3
C. 6
D. 6 1/3
Please please answer super easy
Answer:
Step-by-step explanation:
You need y by itself on one side of the equal sign and x and the y intercept on the other side.
4x + 2y = - 12 Subtract 4x from both sides
2y = -4x - 12 Divide by 2
2y/2 = -4x/2 - 12/2
y = -2x - 6
Note: y also must be plus. x can be either plus or minus
m = - 2
b = - 6
18634 to the nearest hundred
Answer:
18600
lf you like my answer than please mark me brainliest thanks
Aaron's car used 3- gallons of gas when
he drove it 60 miles. How many miles
does his car get per gallon?
Answer:
His car gets 20 miles per gallon.
Step-by-step explanation:
1. 60 = 3x (divide by 3)
2. 20 = x
Therefore, the car uses 20 miles per gallon.
Seven plus seven equal to
Answer:
the answer is 14
Step-by-step explanation:
7+7=14
I hope this help
Answer:
14
Step-by-step explanation:
pls answer the question important
Step-by-step explanation:
no they are not parallel
Answer:
not equal
Step-by-step explanation:
its not parallel because sum of angles of alternate angle are not equal.
please help and give easy to understand explanation.
Answer:
ok send the work now I am ready
Answer:
I’m not trying to mooch off points, just want to know where the flipping question is
Step-by-step explanation:
Would help if could
PLZ HELP ME ON THIS QUESTION GUYS THANK YOU IF U HELP ME 30 POINTS
Answer:
The value of the expression is 0.5.
Step-by-step explanation:
To evaluate, we need to do order of operations.
To solve, we start with the parenthesis because they come first in the order of operations.
-1+3[(10-12)³/(-16)]
-1+3[-2³/-16]
Now we do the second thing in the order of operations, which is to simplify the exponents.
-1+3[-8/-16]
Now we do the third thing left to do, which is to do division and multiplication from left to right.
-1+3[0.5]
-1+1.5
Now we do the last thing left to do, which is to do addition and subtraction from left to right.
0.5
So the value of this expression is 0.5.
first distribute, then combine like terms 5(2x+7)+4x
Answer:
14x+35
Step-by-step explanation:
10x+4x=14x
5*7=35
Answer:6x+12
Step-by-step explanation: combine like terms.
guys pls answer my question i am very confused
Help plz. I will give brainilest!
Answer:
4.35
Step-by-step explanation:
Make the numerator improper, by doing 8x4+3 which equals 35. And then drag that whole number to the front and slap a decimal between the whole number (4) and your new numerator (35)! Which would be: 4.35
Work out an expression for the nth term of this sequence. 3, 11, 19, 27, …
Answer:
8n-5
Step-by-step explanation:
Find the difference between the numbers, +8 so 8n then subtract the diffference from the first number so 3 - 8= -5
The expression will be 8n - 5
Find the slope of the line that passes through (7,5) and (4, 9)
Answer:
-4/3
Step-by-step explanation:
(9-5)/(4-7)
4/-3
-4/3
cscy-siny=cosy(coty)
Step-by-step explanation:
[tex]\csc y - \sin y = \dfrac{1}{\sin y} - \sin y[/tex]
[tex]\:\:\:\:\:\:\:\:=\dfrac{1 - \sin^2y}{\sin y}[/tex]
[tex]\:\:\:\:\:\:\:\:= \dfrac{\cos^2y}{\sin y}[/tex]
[tex]\:\:\:\:\:\:\:\:=\cos y \left(\dfrac{\cos y}{\sin y}\right)[/tex]
[tex]\:\:\:\:\:\:\:\:= \cos y \cot y[/tex]
Write an
equation of the line that passes through each pair of points.
(-3,9), (-3,-5)
Answer:
since slope(m) = y2 -y1/x2- x1
-5 - 9/ -3 - (-3)= -14/0
m = -14/0 (undefined)
using the formula
y-y1 = m(x -x1)
y - 9 = -14/0(x - (-3)
y-9 = -14/0(x + 3)
0 = -14( x+3). (cross multiplication)
0 = -14x - 42
14x = -42
x = -3( equation of the line)
Which sentence illustrates the commutative property for addition? (1) (a+b)+c=a+(b+c)
(2) a(b+c)=ab+ac
(3) a+0=a
(4) a+b=b+a
Answer:
the answer is 2a(b+c)=ab+acAnswer:
The 4th option is correct. a+b = b+a
Step-by-step explanation:
Mason goes to a store an buys an item that costs xx dollars. He has a coupon for 30% off, and then a 7% tax is added to the discounted price. Write an expression in terms of x that represents the total amount that Mason paid at the register.
THE TOTAL AMOUNT THAT MASON PAID IS 549
I really need help someone?
Answer:
$11.80
Step-by-step explanation:
5x.90=4.5
63.5-4.5=59
59/5=11.8
What is the constant of proportionality in miles per hour?
a.) 0.85 miles per hour
.85
b. 55 miles per hour
IS112.15
c. 60 miles per hour 4
120
d. 51 miles per hour
15
75
8
9514 1404 393
Answer:
(d) 51 miles per hour
Step-by-step explanation:
The constant of proportionality can be found by dividing the distance by the time. It is convenient to choose a time that makes this division simple. We choose 30 min = 1/2 hour.
(25.5 mi)/(1/2 h) = 2(25.5) mi/h = 51 mi/h
The constant of proportionality is 51 miles per hour.
solve pls brainliest
Step-by-step explanation:
(a) 46-(-6)= 52
(b) -6+11= 5
Dan has 2 photo albums. Each photo album 8 pages. Dan can fit 4 pictures on each page. How many pictures can Dan fit in the albums?
Answer:
64
Step-by-step explanation:
8 x 4 = 32
32 x 2 = 64
The number of pictures can Dan fit in the albums are 64.
What is multiplication?Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.
Given that, Dan has 2 photo albums. Each photo album 8 pages. Dan can fit 4 pictures on each page.
Here, the number of pictures
= 2×8×4
= 64
Therefore, the number of pictures can Dan fit in the albums are 64.
Learn more about the multiplication here:
https://brainly.com/question/1562995.
#SPJ2
Please help. To see the image larger please hover over image and press the magnifying glass.
Answer:
See Below
Step-by-step explanation:
The negation of a statement is almost like the opposite, but it needs to cover all cases that the statement does not.
1) x is not equal to 300.
This statement is true for all x except 300 while our original statement is true for all x except 100. These two have overlaps between what values of x could be, meaning that it is not the negation.
2) x is equal to 100.
This statement is true only for the case x equals 100 while our original statement is true for all the cases where x is not 100. These two do not overlap and cover all numbers. This means that it is the negation.
3) It is not the case that x is equal to 400.
This statement is true for all x except 400 while our original statement is true for all x except 100. These two have overlaps between what values of x could be, meaning that it is not the negation.
4) x is equal to 300.
This statement is true only for the case x equals 300 while our original statement is true for all the cases where x is not 100. This two cases have overlaps(300), meaning it is not the negation.
A pigeon was sitting 15 feet from the base of a telephone pole and flew 25 feet to reach the top of the pole. How tall is the telephone pole?
50 pounds of pet food for
$37.99
Unit rate
Answer:
$0.76
Step-by-step explanation:
$37.99 divided by 50 pounds = $0.7598 per pound
Round 0.7598 and you will end up with 0.76.
Find the distance Between points (3,7) and (-3,4).
Answer:
the distance is 3√5 !
Step-by-step explanation:
Answer:
Since the points form a triangle, you can use Pythagorean theorem to solve this.
Side A is 3 Units, and side B is 6. The letters do not matter when corresponding them to the sides.
So Pyth Theorem = a^2 + b^2 = c^2
And c^2 is the distance we must find
So a^2 = 9
b^2 = 36
So 36 + 9 = 45
To find C, you must root c^2
So sqrt of 45 is 6.7
The distance between points (3,7) and (-3,4) is 6.7 units.
solve pls brainliest
Answer:
a) -10
b) +150
Answer: (a.) -50/5=-1 (b.) 5*30=+150
Step-by-step explanation:
(a.) each stock went down by -10x5=-50
(b.) 5x10=50. 50x3=150
half way I was doing this it got deleted