Answer:
b=128
Step-by-step explanation:
b÷4+16=48 isolate b
b÷4= 32
b= 128
Answer:
b=128
Step-by-step explanation:
rewrite
1/4b + 16 = 48
multiply both sides by 4
b + 64 = 192
move constant to the right and change he sign
b = 192-64
subtract
b = 128
Car A is moving twice as fast as car B. Car B starts 174. Meters in front of car A. If car A passes car B in 27 seconds, how fast is car B going.
Answer: The speed of car B is 6.44 m/s
Step-by-step explanation:
Let's define:
Sa = Speed of car A.
Sb = Speed of car B.
I assume that at t = 0s, the position of car A is 0m (then at t = 0s, the position of car B is 174m)
Then we can write the positions of each car as:
Pa(t) = Sa*t
Pb(t) = Sb*t + 174m.
We also know that Sa = 2*Sb.
And we know that at t= 27s, car A passes car B.
Then at t = 27s, the positions of both cars must be the same:
Pa(27s) = Pb(27s)
Sa*27s = Sb*27s + 174m.
Now we can replace Sa by 2*Sb (from the above equation)
2*Sb*27s = Sb*27s + 174m
Now we can solve this for Sb.
2*Sb*27s - Sb*27s = 174m
Sb*27s = 174m
Sb = 174m/27s = 6.44m/s.
The speed of car B is 6.44 m/s
HELP PRECALC WILL GIVE BRAINLIEST
Answer:
389376Step-by-step explanation:
a) The value in C22 is the amount of inventory Store B has of Product Y at the end of July. That value is the starting inventory, 476, less July sales, 87, so will be ...
476 -87 = 389 = C22
__
b) The maximum possible sales of Product Z by Store A in July will be the amount they have in starting inventory, 376. Max(A31) = 376.
___
Additional comment
We have to assume that stores don't share inventory, and that there is no incoming product during the month.
Identify the function's local and absolute extreme values, if any, saying where they occur. f(x) = x^3 + 4x^2 - 3x - 4 A) local maximum at x = -1/3; local minimum at x = 3 B) local maximum at x = -1; local minimum at x = 1 C) local maximum at x = -3; local minimum at x 1/3 D) local maximum at x = -1; local minimum at x = 1
Answer: C) local maximum at x = -3; local minimum at x = 1/3
Step-by-step explanation:
Given the function:
f(x) = x^3 + 4x^2 - 3x - 4
Set f'(x) = 0
f'(x) = 3x² + 8x - 3
f'(x) = 0
3x² + 8x - 3 = 0
Using the quadratic function calculator :
x = - 3 or x = 1/3
Critical points = - 3 ; 1/3
To find the maximum and minimum points :
f''(x) = 6x + 8
Substitute the values of X in
At x = - 3
6(-3) + 8
-18 + 8 = - 10
At x = 1/3
6(1/3) + 8
2 + 8 = 10
Value of f''(x) at - 3 is negative, hence - 3 is the maximum point
Value of f''(x) at 1/3 is positive , hence 1/3 is the minimum point
Marsha was shopping for a new dishwasher and researched the different models she could afford. Using Marsha’s frequency distribution table, determine the median price for dishwashers. Price,p($) Frequency,f 250 2 275 4 280 1 290 2 310 6 315 2 320 1 325 7 330 1 335 1 340 1 350 2
Answer
310
Step-by-step explanation:
add them all up and divide by 12
If elephant grass grows 3 2/5 inches a day, how many inches will it grow in 7 days?
Step-by-step explanation:
do 3 2/5 times by 7 to get ur answer
c=200x+1,600
solve for x
Answer:
[tex] \huge \: \orange { \boxed{x = \frac{c}{200} - 8 }}[/tex]
Step-by-step explanation:
[tex] \huge \: c = 200x + 1600 \\ \\ \huge \:c - 1600 = 200x \\ \\ \huge \:\frac{c - 1600}{200} = x \\ \\ \huge \: \frac{c}{200} - \frac{1600}{200} = x \\ \\ \huge \:\frac{c}{200} - 8 = x \\ \\ \huge \: \red{ \boxed{x = \frac{c}{200} - 8 }}[/tex]
HELP PLEASE THANK YOU SO SO SO MUCH <3
Determine whether the relation represents y as a function of x
2x+y^2=6
Answer:
rabi pati le crabby pati vi qui faste un fadi xx
Between 9 P.M. and 6:10 A.M., the water level in a swimming pool decreased by 5/12. Assuming that the water level decreased at a constant rate, how much did the water level drop each hour?
Answer:
in 9 hour 10 minutes the water level decreased = 5/12
in 550 minutes the water level decreased = 5/12
in 60 minutes the water level decreased = (5/12)/550*60
= 1/22
Step-by-step explanation:
The rate of which water level decreases is 1/22 per hour.
What is ratio?Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Between time interval 9 P.M. and 6:10 AM,
The water level in the swimming pool decreases by 5/12.
To find the rate of decreasing water,
Total time duration = Final time - initial time = 9 : 10 hours = 540 + 10 = 550 minutes.
Since, in 550 minutes the water level decreases by 5/12.
To find water level decreases in each hour,
Use ratio property,
550 minutes = 5/12 decreases
1 minutes = 5/12 x 1/550 decreases
60 minutes = (5/12) x (60 / 550)
= 1 / 22
In each hour the water level decreases by 1/22.
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AHHHH please help answer and I’ll give you points
Answer: Yes She is correct
Step-by-step explanation:
You are baking cookies for your family. You have 12 family members and you have baked 5 cookies so far. Write an equation to find the additional
number of x of cookies you need to bake. Then solve for x.
Answer:
7 cookies
hope this helped you
please mark as the brainliest (ㆁωㆁ)
Can somebody help me and show yo work please
Answer:
17
Step-by-step explanation:
A= 5 B= 3 C=4
Substitute each number to the right letter
4 + (5^2 + 3) -15
Square 5
4 + (25 + 3) -15
Do parentheses first
4 + 28 - 15
32 - 15
Answer = 17
1. Name the property the equation illustrates.
–2.1 × 1 = –2.1
Multiplication Property of –1
Inverse Property of Multiplication
Identity Property of Addition
Identity Property of Multiplication
2. Name the property the equation illustrates.
8.2 + (–8.2) = 0
Inverse Property of Multiplication
Addition Property of 0
Identity Property of Addition
Inverse Property of Addition
Answer:
1) ident. prop. of mult.
2) add. prop. of add.
Step-by-step explanation:
have a good day!
what are strategies to find rational numbers
Mr. Stewart bought a new battery for his car. The battery cost $72. Since batteries are a taxable item, he had to pay a sales tax of 7.5%. What was the total cost of the battery in dollars and cents?
Mr. Stewart spent $77.40 on his new car battery.
Answer: $77.40
Step-by-step explanation:
First you take the 7.5% and turn it into a decimal and to do that you have to divide 7.5 by 100 which gives you .075. You then multiply 72 by .075 to know how much money you will pay with tax and you get $5.40. then you add $5.40 to $72 to get the total coast of the battery, which is $77.40.
The total cost of the battery was $77.40.
solve the equation X³+2X²-5X -6
Answer: x = {-1, -3, 2}
Step-by-step explanation:
x³ + 2x² - 5x - 6 = 0
Use the rational root theorem to find the possible roots: ±1, ±2, ±3, ±6
Use Long division, Synthetic division, or plug them into the equation to see which root(s) work (result in a remainder of zero).
I will use Synthetic division. Let's try x = 1
1 | 1 2 -5 -6
| ↓ 1 3 -2
1 3 -2 -8 ← remainder ≠ 0 so x = 1 is NOT a root
Let's try x = -1
- 1 | 1 2 -5 -6
| ↓ -1 -1 6
1 1 -6 0 ← remainder = 0 so x = -1 is a root!
The coefficients of the reduced polynomial are: 1, 1, -6 --> x² + x - 6
Factor: x² + x - 6
(x + 3)(x - 2)
Set those factors equal to zero to solve for x:
x + 3 = 0 --> x = -3
x - 2 = 0 --> x = 2
Using Synthetic Division and Factoring the reduced polynomial, we found
x = -1, -3, and 2
The sum of three consecutive multiples of 4 is 444. Find these multiples.
Step-by-step explanation:
Let the first multiple of 4 be x and second multiple be (x + 4) and third multiple be (x + 8) ...[Since, the number are consecutive multiple of 4]
☯ [tex]\underline{\boldsymbol{According\: to \:the\: Question\:now :}}\\[/tex]
[tex]:\implies \sf x \: + \: x \: + \: 4 \: + \: x \: + \: 8 \: = \: 444 \\ \\ \\ [/tex]
[tex]:\implies \sf 3x \: + \: 12 \: = \: 444 \\ \\ \\ [/tex]
[tex]:\implies \sf 3x \: = \: 444 \: - \: 12 \\ \\ \\ [/tex]
[tex]:\implies \sf 3x \: = \: 432 \\ \\ \\ [/tex]
[tex]:\implies \sf x \: = \: \dfrac{432}{3} \\ \\ \\ [/tex]
[tex]:\implies\underline{ \boxed{\sf x \: = \: 144}} \\ [/tex]
_________________Therefore,[tex]\bullet\:\:\textsf{First multiple of 4 = x = \textbf{144}} \\ [/tex]
[tex]\bullet\:\:\textsf{Second multiple of 4 = x + 4 = 144 + 4 = \textbf{148}} \\ [/tex]
[tex]\bullet\:\:\textsf{Third multiple of 4 = x + 8 = 144 + 8 = \textbf{152}}[/tex]
- The area of a triangle is 9.45 m2. If the base is 2.65 m, what is the height?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{height = 7.13 \: m}}}}}[/tex]
Step-by-step explanation:
Area of a triangle ( A ) = 9.45 m²
Base of a triangle ( b ) = 2.65
Height of a triangle ( h ) = ?
Finding the height of a triangle
[tex] \boxed{ \sf{area \: of \: a \: triangle = \frac{1}{2} bh}}[/tex]
[tex] \dashrightarrow{ \sf{9.45 = \frac{1}{2} \times 2.65 \times h}}[/tex]
[tex] \dashrightarrow{ \sf{9.45 = 1.325h}}[/tex]
[tex] \dashrightarrow{ \sf{1.325h = 9.45}}[/tex]
[tex] \dashrightarrow{ \sf{ \frac{1.325 \: h}{1.325} = \frac{9.45}{1.325}}} [/tex]
[tex] \dashrightarrow{ \sf{h = 7.13 \: m}}[/tex]
Hope I helped!
Best regards! :D
9. All state names have at least two syllables. True or false
Answer:
False
Step-by-step explanation:
Only six states have two syllables in their name.
No, only six states have at least two syllables.
Here,
We have to check the given statement '' All state names have at least two syllables'' is true or false.
What are states which have at least two syllables?
There are only 6 states have at least two syllables.
1. Georgia.
2. Kansas.
3. New York.
4. Texas.
5. Utah.
6. Vermont.
Now,
There are only 6 states have at least two syllables.
Hence,
The given statement '' All state names have at least two syllables'' is false.
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Help ASAP please please
Answer:
5/6
Step-by-step explanation
What is the product?
Answer:
20s³ + 50s² + 32s + 6
Step-by-step explanation:
( 4s + 2 ) ( 5s² + 10s + 3)
use the distribution property:
20s³ + 40s² + 12s + 10s² + 20s + 6
combine like terms:
20s³ + 50s² + 32s + 6
therefore
the expand value = 20s³ + 50s² + 32s + 6
is the population of cats on another island whose cat population was originally 11,000 but is doubling every 14 months. (t is time in months.)
Answer:
P = 11,000(2)^t/11
Step-by-step explanation:
The formula is given as:
P = Po(2)^t/d
Where
Po = Initial population = 11,000
t = time in months
d = doubling time = 11 months
Hence,
P = 11,000(2)^t/11
Hence, the population of cats is given by the equation:
P = 11,000(2)^t/11
use the graph of the function to find the domain and range of f
Answer:
Step-by-step explanation:
Domain: since x begins to the right of x = -2 and ends at x =2, the domain is (-2, 2]
Range: The smallest y value shown is y = -5 and the largest is y = 4. Thus, the range is [-5, 4].
Find the decimal that is equivalent to: 4/11
Answer:
0.3636 repeating
Step-by-step explanation:
When you divide them, it is 0.36363636 going on forever.
Three students have proposed these ways to describe when two lines l and m are perpendicular: Read screenshot for info. Explain why each of these definitions is correct. What are some of the advantages and disadvantages with each?
Answer:
a. The definition that l and m are perpendicular if they meet at one point and one of the angles at their point of intersection is a right angle
The above definition is correct because, where two lines intersect, forming an angle of 90° with each other, then, by definition of perpendicular lines, the direction of one line is perpendicular to the other
The advantage of the above definition are;
1) It is simply stated and therefore, will be easier to understand
2) It can be easily used to test the perpendicular relationship between two objects
Disadvantages
1) It gives limited description of the other characteristics of the line
2) It does not state if the lines extend past each other after the point at which they cross
b. For the definition, l and m are perpendicular if they meet at one point and all four of the angles at their point of intersection are right angles
The above definition is correct as it meets the condition of two lines to be perpendicular to each other
Advantages
1) It clearly describes the relationship between the lines and their appearance
2) It indicates that the sun of angles at the point of intersection is 360°
Disadvantage
1) The resulting detail of the four angles may lead to ambiguity in the case where the two lines do not cross and there are only three angles formed at the point
c. For the definition, l and m are perpendicular if they meet at one point and reflection about l maps m to itself
The above definition is correct as it indicates the requirement for the continuity of the definition of the on line after crossing the other line
Advantages
1) It defines the condition of perpendicularity without the requirement for measuring the angles
2) It states the symmetrical condition of perpendicular lines about the vertical axis
Disadvantages
1) It requires further clarification in order to be related to the original definition of perpendicular lines being lines that are at right angle to each other.
Step-by-step explanation:
A certain field is a rectangle with a perimeter of
846
feet. The length is
159
feet more than the width. Find the width and length of the rectangular field.
Answer:
Width = 132 feet, Length = 291 feet
Step-by-step explanation:
perimeter (P) = 846
let width(W) = x
length(L) = 159 feet more than width = 159 + W= 159 + x
P of a rectangle = 2*(L + W)
846 = 2*((159 + x) + x)
divide both side by 2
423 = (159 + x) + x
423 = 159 + 2x
rearranging
2x + 159 = 423
2x = 423 -159
2x = 264
divide both sides by 2
x = 132 feet
recall W = x and L = 159 + x
W = 132 feet
L = 159 + 132 = 291 feet
Choose the expression that completes the equation. 24 ÷ 6 + 20 =______
Hey there!
ANSWER: [tex]24[/tex]EXPLANATION:[tex]\text {Choose the expression that completes the equation}\\24/6+20=?[/tex]
To complete the equation, we will need to use the order of operations(PEMDAS). Let's start with division since that's the highest in the order.
[tex]24/6=4[/tex]
Now let's addition since that's all that is left.
[tex]4+20=24\\24(ANSWER)[/tex]
So now let's complete the equation.
[tex]24/6+20=24(ANSWER)[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
Sara received 73 votes, Ben received 23 fewer than Sara. How many students voted? How many votes did Ben receive?
Write each percent as a fraction
170%
120%
220%
Answer:
Step-by-step explanation:
1.17/10
2.6/5
3.11/5
answers:
170% as a fraction is [tex]\frac{17}{10}[/tex] or 1 [tex]\frac{7}{10}[/tex]
120% as a fraction is [tex]\frac{6}{5}[/tex] or 1 [tex]\frac{1}{5}[/tex]
220% as a fraction is [tex]\frac{11}{5}[/tex] or 2 [tex]\frac{1}{5}[/tex]
hope this helps! best of luck <3
You are part of a construction company that is supposed to build houses. An architect has left you plans to build houses on each island. Bridges connect the islands. Island A and Island B have a total of 30 houses. Island A and Island C have a total of 40 houses. Island B and Island C have a total of 36 houses. A total of 53 houses is to be built on the three islands. Determine how many houses are to be built on each island. Show how to represent the problem in each of the following ways and solve them. (This is the verbal description, use sentences to explain) I. Concrete or pictoral representation II. Graph III. Algebraic Formula IV. Table
Answer:
Island A=17 house
Island B= 13 house
Island C=23 house
Step-by-step explanation:
Island AB=30 house
Island AC=40 house
Island BC=36 house
Island ABC=53 house
53 - 30= 23 house which is the total of house on island c
53-40=13 house which is the Total of house on island b
53-36=17 house which is the Total of house on island A