Answer:
C. -4a + 22b
Step-by-step explanation:
b 12a + 26b -4b – 16a.
= 12a – 16a + 26b – 4b.
= -4a + 22
Answer:
Step-by-step explanation:
Solving like terms
-4a + 22b
Option C is the correct answer
Is multiplication commutative.
Answer:yes
Step-by-step explanation:
Because it is able to be commuted
Bus A and Bus B leave the bus depot at 5 pm. Bus A takes 30 minutes to complete its route once and bus B takes 35 minutes to complete its route once. If both buses continue to repeat their route, at what time will they be back at the bus depot together?
Answer:
8:30 pm
Step-by-step explanation:
Bus A and Bus B leave the bus depot at 5 pm. Bus A takes 30 minutes to complete its route once and bus B takes 35 minutes to complete its route once. If both buses continue to repeat their route, at what time will they be back at the bus depot together?
We solve the above question using the Lowest Common Multiple Method.
We find the Multiples of 30 minutes and 35 minutes
Multiples of 30:
30, 60, 90, 120, 150, 180, 210, 240, 270
Multiples of 35:
35, 70, 105, 140, 175, 210, 245, 280
Therefore,
LCM(30, 35) = 210
The Lowest Common Multiple = 210. This means that bus A and bus B will be back at the same depot together after 210 minutes.
We add 210 minutes to 5pm
5 pm + 210 minutes
= 5 pm + 3 hours 30 minutes
= 8:30 pm
Bus A and Bus B will be back at the depot together by 8:30 pm.
As an estimation we are told £3 is €4. Convert €40 to pounds
Answer:
£30
Step-by-step explanation:
The ratio is 3:4. x:40=3:4 multiplied by 10, 30:40.
There are 30 pounds in 40 euros, therefore, €40 = £30.
What is a Ratio?A ratio indicates the number of times one number contains another.
Given that, £3 is €4, therefore,
€4 = £3
€1 = £(3/4)
€40 = £(3/4)×40
€40 = £30
Hence, 40 euros is equal to 30 pounds, €40 = £30.
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if the expression 6 more than the product 8 and a number x than what is the answer?
Answer:
''6 more than the product 8 and a number x than'' will be expressed algebraically as:
6+8nStep-by-step explanation:
Translating the sentence into an algebraic expression
The 'product of' means multiplying two numbers'6 more than' means adding 6.Let 'x' be the number
6 more than that 8 and a number
6+ 8×n
Combining it all together means:
6+8n
Thus,
''6 more than the product 8 and a number x than'' will be expressed algebraically as:
6+8nFind three consecutive integers whose sum is 105.
A man is 3 times old as his son the sum of their ages is 48 years old.how old is the son
Answer:
The son is 12 years old.
Step-by-step explanation:
When you do 12 multiplied by 3 you get 36. Then you add the 12 and 36 to get 48. This is how you know it is correct.
Is (-8,7), (0,1), (2,-6), (2,3), (7,9) a function?
What’s the domain and range?
The price
original pair of shoes is $ 42. EI
offer price is 20% off
over the original price. At the sale price
add 7% sales tax.
What is the final cost of the pair of shoes?
Round to the nearest penny.
Answer:
$35.95
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!!!!! A small coffee cup holds 75% as much as a large coffee cup. If the small holds 36 units, how much does the large coffee cup hold?
Answer:
48 units
Step-by-step explanation:
Let x = the amount the large cup holds
36 = 75% of x
36 = .75x. (The word "of" indicates you will be multiplying)
36 ÷ .75 = x
48 = x
PLEASE HELP ME! THANK YOU! :)
Answer:
A
Step-by-step explanation:
I checked it and it’s right hope this helps!!
if h(t)=1/t divided by 1 what is h(1/2)
Answer:
2/3
Step-by-step explanation:
[tex]h(1/2)=\frac{1}{\frac{1}{2}+1} \\ \\ =\frac{2}{3}[/tex]
yall its an easy khan academy assignment please help ASAP i needa turn it in by 11:59 pm todayyy so hurry i will give 50 points!!!! and brainliest to whoever is righttt
Answer:
The answer is B.
Step-by-step explanation:
Answer:
B ITS B ! GOOD LUCK!!!! :D
Step-by-step explanation:
Solve for x.
A.
B.
C.
D.
What is the component form and magnitude of the vector shown?
LeftAngleBracket negative 2, 7 RightAngleBracket and StartRoot 53 EndRoot
LeftAngleBracket negative 2, 7 RightAngleBracket and 53
LeftAngleBracket negative 7, 2 RightAngleBracket and StartRoot 53 EndRoot
LeftAngleBracket negative 7, 2 RightAngleBracket and 53
Answer:
c
Step-by-step explanation:
edge 2020
The component form and magnitude of the vector is (-7, 2) and √53 option third is correct.
What is a vector?It is defined as the quantity that has magnitude as well as direction also the vector always follows the sum triangle law.
We have a vector shown in the picture.
The coordinate for tail = (6, 2)
The coordinate for arrow = (-1, 4)
Coordinate for vector = (-1-(6), 4-(2)) = (-7, 2)
The magnitude:
[tex]\rm M=\sqrt{(-1-6)^2+(4-2)^2}[/tex]
M = √53
Thus, the component form and magnitude of the vector is (-7, 2) and √53 option third is correct.
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A number "a" less than 20.
Answer:
19
Step-by-step explanation:
You started saving for a car when you were in middle school. You have done some research and discovered that it will cost you about $15,000 for a used car that would fit your needs. You were encouraged to invest some of your savings to help you get to your financial goal faster. So far you have saved $10,000. If you invest this money in a savings account with a 3% interest rate compounded annually, how long will it take to earn enough money to go purchase the car? Use the compound interest formula A = P (1 + i)n, where A is the accumulated amount, P is the principal, i is the interest rate per year, and n is the number of years.
Answer:
=> $2,833.47
Step-by-step explanation:
n = [lnA - lnP] / ln(1 + i)
n = [ln15000 - ln10000] / ln(1 + 0.03)
n = [9.6158 - 9.2103] / 0.0296
n = 13.70
13 years, 8 months and 12 Days
P = A / [(1 + i)n]
P = 15000 / [(1.03)4]
P = 15000 / 1.1255
P = $13,327.31
A = 10000 (1 + 0.04)5
A = $12,166.53
The amount of money you need to save to buy a car at $15,000 would be;
$15,000 - $12,166.53
=> $2,833.47
Mary said, "Four times my age reduced by thirty is six. How old am I?
Answer:
9
Step-by-step explanation:
I said so
Let fx) = x + 11 + 2 and g(x) - 2 x + 11. When does f(x) = g(x)?
Answer:when x= -2/3
That means, when the common product of f(x) & g(x) is x+2/3
Step-by-step explanation:
What is two over four divided by one over two
Answer:
0.25
Step-by-step explanation:
Answer:
0.25
Step-by-step explanation:
104÷16=
I really need help
Answer: 6.5, hope this helps you
Answer:
6.5
Step-by-step explanation:
4c < 28
Solve the inequality
Answer:
c < 7
Step-by-step explanation:
Help me on this please
Answer: 4,4
Step-by-step explanation:
because just listen to me ;)
To work out 20 - 5(3) you would multiply 5 and 3 first and then add the 20
to get a value of 35. Can you start at 35 and reverse those two steps to get
back to 32 Explain the two steps you would take to do that.
Answer:
You would get 5.
Step-by-step explanation:
According to the order of operations ( GEMDAS or PEMDAS ), in a problem the first step is grouping.
20 - 5(3) = 20 - 15, because 5 * 3 is 15 and parenthesis is a sign of multiplication. Then you would get:
20 - 15 = 5.
Here we would not inverse the subtraction sign, because there is an operation before the grouping
Would reverse operation:
20 - ( 5 + 3 )
Would NOT reverse operation:
20 - 5(2) Operation before the subtraction
For the function y=7-3x, what is the ordered pair for x=5? *
O (-8,5)
O (7,3)
(-3,7)
(5.-8)
[tex]y=7-3x[/tex]
Substitute x = 5
[tex]y=7-3(5)\\y=7-15\\y=-8[/tex]
Therefore, when x = 5, y = -8.
We can write the coordinate point as (5,-8)
Thus, the answer is the last choice.
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82.8cm measured to the nearest tenth of a centimetre.
Answer:
82.8 cm measured to the nearest tenth of 80cm.
A cookie recipe calls for 1 2/3 cup of sugar. If you plan on changing the recipe to make 2 1/2 times as much. How much sugar will you need?Write your answer as a Mixed number or improper fraction in the simplest form.
Answer:
= 4 1/6 ---------------> final answer
Step-by-step explanation:
1 2/3 cup of sugar
That is : 5/3 cups of sugar for 1 cookie recipe
So for 1 recipe ------------- 5/3 cups of sugar
hence for 2 1/2 recipe ---------------> (5/3) * (5/2)
= 25/6
= 4 1/6 ---------------> final answer
Answer:
Step-by-step explanation:
1 2/3(3×1+2=5) × 2 1/2(2×2+1=5)
=5/3 × 5/2
Using A/B × C/D = A×C/B×D
5×5 / 3×2= 25/6
=4 1/6 in simplest form
find the length of a rectangular cell phone screen with an aspect ratio of 16:9 whose diagonal measure is 127mm
Answer:
The length is 110.4 mm and the width is 62.1 mm.
Step-by-step explanation:
The ratio of the length to the width of the phone screen is 16:9.
Hence, let us say that the length of the screen is 16x and the width is 9x.
Due to the screen having 90 degree corners, we can apply the Pythagorean theorem to say that:
[tex]\sqrt{(16x)^{2} + (9x)^{2}} = 127 mm[/tex]
[tex]\sqrt{256x^{2} + 81x^{2}} = 127 mm[/tex]
[tex]\sqrt{337x^{2}} = 127 mm[/tex]
[tex]337x^{2} = 127^{2} mm[/tex]
[tex]x^{2} = \frac{16129}{337}[/tex]
[tex]x = 6.9[/tex]
Hence, the length is 110.4 mm and the width is 62.1 mm.
Hope this helped!
Answer:
...
Step-by-step explanation:
I really need help who can help me?
a taxi service charges an initial fee of $2.15 then charges $1.68 a mile. write a linear equation to model this situation.
The linear equation to model this situation is [tex]y=1.68x+2.15[/tex]
Linear Equation is defined as the equation having degree 1. Linear equation can be of one variable or two variable and so on...
For Example : x=5 is a linear equation in one variable.
x+y=6 is a linear equation in two variable.
Fixed charge= $2.15
Charge per mile=$1.68
Let the miles travelled by the taxi be "x'
So the total charge for "x" miles= [tex]1.68x[/tex]
Let the total charge = y
Total Charge = Fixed Charge + total Charge for "x" miles
[tex]y=2.15+1.68x[/tex]
Therefore , the linear equation to model the situation is [tex]y=2.15+1.68x[/tex]
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