Answer:
1. The sides are: 38.5, 39.5, 40.5 and 41.5
2. Presently, Inzo is 15 years old and Miz is 10 years old
3. [tex]Distance = 3682km[/tex]
4. Possible pairs are: (12, 14), (16, 18) and (20, 24)
5. [tex]L < 38m[/tex]
Step-by-step explanation:
The question has lots of missing details. See the comment section for complete question
Solving (a):
Given
Shape: Quadrilateral
Sides: Consecutive
[tex]Perimeter = 160[/tex]
Let one of the sides be x. The other sides will be x + 1, x + 2 and x + 3.
So, the perimeter is:
[tex]Perimeter = x + x + 1 + x + 2 + x + 3[/tex]
This gives:
[tex]160 = x + x + 1 + x + 2 + x + 3[/tex]
Collect Like Terms
[tex]160 -1-2-3= x+x+x+x[/tex]
[tex]154= 4x[/tex]
Divide both sides by 4
[tex]38.5 = x[/tex]
[tex]x =38.5[/tex]
So, the sides are: 38.5, 39.5, 40.5 and 41.5
Solving (b):
Given
Presently: [tex]Inzo = 10 + Miz[/tex]
Five years ago: [tex]Miz - 5= \frac{1}{3} * (Inzo-5)[/tex] --- (Missing from the question)
Required: Determine their present ages
Substitute [tex]10 + Miz[/tex] for Inzo in the second equation
[tex]Miz - 5 = \frac{1}{3} * (10 + Miz - 5)[/tex]
[tex]Miz - 5 = \frac{1}{3} * (Miz + 5)[/tex]
Multiply both sides by 3
[tex]3Miz - 15 = Miz + 5[/tex]
Collect Like Terms
[tex]3Miz -Miz = 15 + 5[/tex]
[tex]2Miz= 20[/tex]
Divide both sides by 2
[tex]Miz = 10[/tex]
Substitute 10 for Miz in [tex]Inzo = 10 + Miz[/tex]
[tex]Inzo = 10 + 5[/tex]
[tex]Inzo = 15[/tex]
So presently, Inzo is 15 years old and Miz is 10 years old
Solving (3):
Given
Express Train:
[tex]Speed = 100kph[/tex]
[tex]Time = t[/tex]
Local Train:
[tex]Speed = 45kph[/tex]
[tex]Time = t + 45[/tex]
Required: Determine the distance between A and B
Distance is calculated as:
[tex]Distance = Speed * Time[/tex]
For the express train:
[tex]Distance = 100 * t[/tex]
For the local train
[tex]Distance = 45 * (45 + t)[/tex]
Distance between both stations are equal; So,
[tex]100 * t = 45 * (45 + t)[/tex]
[tex]100 t = 2025 + 45t[/tex]
Collect Like Terms
[tex]100 t -45t= 2025[/tex]
[tex]55t= 2025[/tex]
Divide by 55
[tex]t = 36.82[/tex]
Substitute 36.82 for t in [tex]Distance = 100 * t[/tex]
[tex]Distance = 100 * 36.82[/tex]
[tex]Distance = 3682km[/tex]
Solving (4):
Let the even numbers be: n and n + 2.
Sum greater than 24: [tex]n + n + 2 > 24[/tex]
Sum less than 60: [tex]n + n + 2 < 60[/tex]
So, we have:
[tex]n + n + 2 > 24[/tex]
[tex]2n + 2 > 24[/tex]
Collect Like Terms
[tex]2n > 24-2[/tex]
[tex]2n > 22[/tex]
[tex]n > 11[/tex]
[tex]n + n + 2 < 60[/tex]
[tex]2n + 2< 60[/tex]
Collect Like Terms
[tex]2n < 60-2[/tex]
[tex]2n < 58[/tex]
Divide by 2
[tex]n<29[/tex]
So, we have:
[tex]n > 11[/tex] and [tex]n < 29[/tex]
So, possible pairs are: (12, 14), (16, 18) and (20, 24)
Solving (5):
Given
[tex]Perimeter < 152m[/tex]
Required: Find the possible lengths
Let the length be L.
Perimeter is calculated as:
[tex]Perimeter =4 * L[/tex]
[tex]Perimeter =4 L[/tex]
So, we have:
[tex]4L < 152m[/tex]
Divide through by 4
[tex]L < 38m[/tex]
Hence, length is less than 38m (e.g. 37m)
500g to 0.4kg as a ratio
Answer:
500 : 0.4
Step-by-step explanation:
Write an equation to represent 'twice a number (x) is fifty"
Answer:
2x=50
Step-by-step explanation:
Hi there,
Your question is "twice a number (x) is fifty"
Recall how a number is represented by x.
Twice a number would be represented as 2x.
Therefore, to represent that twice a number is equal to 50, that would result in the expression: [tex]2x=50[/tex]
If you're looking to solve this equation, it's often best to think about the "reverse" of the current equation.
Notice how 2 is multiplying the x.
To isolate x, divide that side by 2.
However, recall that whatever is done to one side of an equation must also be done to the other side of the equation. Therefore, you will need to divide both sides by 2.
[tex]2x=50[/tex]
[tex]\frac{2x}{2} = \frac{50}{2}[/tex]
[tex]x=25[/tex]
Equation: [tex]2x=50[/tex]
Solving for x: 25
Hope that helps!
In triangle ABC, A is a right angle and M B=45°. Find BC. If you answer is not an integer, leave it in simplest radical form.
Step-by-step explanation:
- In a right triangle, if ∠B is 45°, then ∠C is too.
-- Since ∠B and ∠C are equal, the sides opposite them
are equal too. This is an isosceles right triangle. Its legs
are equal.
-- (The hypotenuse)² = (one leg)² + (the other leg)²
= (12-ft)² + (12-ft)²
= (144 x 2)
The hypotenuse = √(144 x 2) = 12√2 .
LOL
Guided Practice
Determine whether the relation is a function. Explain why or why not.
{(3, 7), (3, 8), (3, –2), (3, 4), (3, 1)}
A.
No; the domain value 3 corresponds to multiple range values.
B.
Yes; there is no value in the domain that corresponds to more than one value of the range.
C.
No; a function must have multiple domain values.
Answer:
A. it is not a function because there are multiple y-values paired with a single x-value.
Step-by-step explanation:
A triangle has sides of lengths 19 centimeters, 19 centimeters, and 26 centimeters and angle measures of 84º. 489 and 48°. Which image shows this triangle?
84
19 cm
19 cm
248
48
26 cm
48
19 cm
19 cm
O
84
48
26 cm
84
19 cm
26 cm
248
48
19 cm
48
26 cm
O
19 cm
18
84
19 cm
Answer:this is the answer
Step-by-step explanation:
Just did the test
Work out the following, giving your answers in their simplest form:
a) 2/3 divided by 1/4
b) 7 divided by 2/3
b) Factorise fully
8x + 12x
Answer:
20x simplified
4x(2+3) factored
gamestop is losing value at 5% per day. if its 50 dollars per share to day, how much will it be worth at the end of the week
Answer:
GameStop will be worth $34.92 by the end of the week
Step-by-step explanation:
It's sad, but true lol
The area of a square is 81 square centimeters. What is the perimeter of the square?
Answer:
p = 36cm
Step-by-step explanation:
p = 4a
4 × 9 = 36
good luck, i hope this helps :)
I need help on this.. First person to answer this correctly gets a BRANLIST
Answer: The relation is a function.
Step-by-step explanation: Since there is one value of y for every value of x in (-2,4), (3,7), (0,8), (5,8), and (1,6), this relation is a function.
I hope this helps you out!
please help!!
i’m really stuck and confused!
Answer: a.2^3, b. 3^5, c. 4^3 + 5^2, d. 9^4 + 7^2
Step-by-step explanation:
i took this class already
Answer:
a) = 8
b)=243
c)=1 600
d)=321 489
Explanation
a) 2×2= 4×2= 8
b)3×3=9×3=27×3=81×3=243
c)4×4=16×4=64×5=320×5=1 600
d)9×7=63×9=567×9=5 103×7=35 721×9=321 489
A book store sells used
books.
Paperback books cost $1.00.
Hardback books sell for $5.00.
The store sold 100 books and made $260 from the sale.
How many paperback books did the store sell?
Α. 20
В. 40
C. 60
D. 80
Answer:
The correct answer is C
Positive
1
Write 15% as a fraction in simplest form:
Answer:
3/20
Step-by-step explanation:
15 / 100
divide both the numerator and denominator by 5: 3 / 20
Answer:
3/20 is it's simplest form.
Step-by-step explanation:
How can we solve this?
we know we can simplify this if we can divide the numerator and denominator by the same number.15% is equal to 15/100.
15 divided by 5 equals 3.100 divided by 5 equals 20.Therefore, 15/100 can be simplified to 3/20.
Divide
f)(4b²+13b + 21) ÷(b+8)
i don’t understand my homework?
Answer:
x = 140
Step-by-step explanation:
40 * 2 + 2x = 360
80 + 2x = 360
2x = 280
x = 140
Help I need to submit this ASAP
Answer: th
Step-by-step explanation:
Caleb claims that the order pairs shown in the table below are from a nonlinear function.
x f(x)
0 2
1 4
2 8
3 16
please show your work
Caleb is correct bc he table doesnt have a constant rate of change so it cant be linear.
its a exponential function.
4/2 = 2; 8/4 = 2; 16/8 = 2.
i s#ck at answering lma*oo. hope this helped
Caleb is correct the table doesn't have a constant rate of change so it can't be linear.
What is a nonlinear function?Any function whose graph is not a line is said to be nonlinear. It has the equation f(x) = ax + b. With the exception of form f(x) = ax + b, its equation can take any form. Any two points on the curve have the same slope. Every pair of points on the graph do not have the same slope.
The rate of change of the function is not constant for the given data so it can not be a linear function. It's an exponential function.
4/2 = 2; 8/4 = 2; 16/8 = 2.
To know more about a non-linear function follow
https://brainly.com/question/11605449
#SPJ2
A man invests 10000 for 3 years at a certain rate of interest, compounded annually. At the
end of one year, it amounts to 11200. Calculate :
(i) the rate of interest per annum;
(ii) the interest accrued in the second year;
(ii) the amount at the end of the third year.
Step-by-step explanation:
10000, After 1 year amount = 11200 so interest after 1 year = 1200
Amount = P(1+R/100)T
11200 = 10000(1+R/100)1
R = 12%
Interest for the second year = 11200(1+12/100)1 - 11200 = 1344
after 3 years = 10000(1+12/100)3 = 14049.28
Step-by-step explanation:
(I) Principle = Rs 10000, After 1 year amount
= Rs 11200 so interest after 1 year
= Rs 1200
R = 12%
Amount = P(1+R/100)T
11200 = 10000(1+R/100)1
R = 12%——————————————————————————————————————
(Ii)Interest for second year = 11200(1+12/100)1 - 11200 = Rs 1344
(iii)Amount after 3 year = 10000(1+12/100)3 = Rs 14049.28
Mount Mo is 5323 feet tall dawn climbed it in five days she climbed 821 feet on the last day how many feet did she climb in the first four days
Answer:
Step-by-step explanation:
d+821=5323
d=4502
So the distance she climbed in the first four days was 4502 feet.
A bag contains 42 red, 45 green, 20 yellow, and 32 purple candies. You pick one candy at random. Find the
probability that it is purple or not red.
Answer:
97/139
Step-by-step explanation:
You add every thing but red so 45+20+32 which equals 97, so 97 is your numerator and to get the denominator you add all the numbers together so 42+45+20+32 which equals 139.
Probability that candy picked is purple or not red is [tex]\frac{32}{151}[/tex].
What is probability?The probability of an event can be calculated by probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes. The value of the probability of an event to happen can lie between 0 and 1 because the favorable number of outcomes can never cross the total number of outcomes. Also, the favorable number of outcomes cannot be negative.
According to the question
A bag contains 42 red, 45 green, 20 yellow, and 32 purple candies.
You pick one candy at random.
We have to find probability that it is purple or not red.
Formula for probability:
[tex]P(E) = \frac{Number \ of \ favorable \ outcomes}{Total \ number \ of \ favorable \ outcomes}[/tex]
Total number of favorable outcomes = [tex]42+45+20+32 =151[/tex]
Number of favorable outcomes = 32
Probability that it is purple or not red.
[tex]P(E)=\frac{32}{151}[/tex]
Hence, Probability that candy it is purple or not red is [tex]\frac{32}{151}[/tex].
Find out more information about probability here
https://brainly.com/question/11234923
#SPJ2
9x^3- 18x^2 - 4x + 8 : x- 2
Answer:
Step-by-step explanation:
[tex]9x^3-4x-18x^2+8\\ \\ x(9x^2-4)-2(9x^2-4)\\ \\ (x-2)(9x^2-4)\\ \\ (x-2)(3x+2)(3x-2)\\ \\ \text{If you divide by x-2 you have}\\ \\ (3x+2)(3x-2)[/tex]
Henry is trapped at the roof top of a burning building, which is 24 feet high. In order to rescue him, his father, Diego, must find a ladder which will be used to cross the river, which is 7 ft wide, and go up directly to the top of the building. Help Diego to find the appropriate length of ladder from the other side of the river to the top of the building.
Answer:
168
Step-by-step explanation:
so what you are going first is 24 times 7 which is
2+3.3x-1.7=5.25 solve for x
Answer:
1.5
Step-by-step explanation:
2+3.3x-1.7=5.25
=> 3.3x = 5.25 +1.7 -2
=> 3.3x = 6.95 - 2
=> 3.3x = 4.95
[tex] = > x = \frac{4.95}{3.3} [/tex]
[tex] = > x = \frac{49.5}{33} [/tex]
=> x = 1.5 (Ans)
The number y of calories burned after x minutes of kayaking is represented by the linear function y=4.5x . The graph shows the number of calories burned by hiking.
a. Which activity burns more calories per minute?
A) kayaking
B) hiking
Question 2
b. You perform each activity for 45 minutes. How many total calories do you burn?
You burn 472.5 calories.
Question 3
Justify your answer.
Step-by-step explanation:
Aswer:
22.5 more calories are burned
Hiking:
y=255
Kayak:
y=202.5
Find the volume of the cone. Use 3.14 for pi.
Answer:
V≈157.08
Step-by-step explanation:
I hope this helps
Please help!
Find the indicated side of the
right triangle.
60°
Х
3
30°
x = [?]
Enter
Answer:
x = 6
Step-by-step explanation:
sin 30° = 3/x
0.5 = 3/x
.5x = 3
x = 3/.5
x = 6
The indicated side of the right-angled triangle is 6.
What is a right-angled triangle?A triangle is said to be right-angled if one of its inner angles is 90 degrees, or if any one of its angles is a right angle.
Given:
The triangle is a right-angled triangle.
So, we know,
SinФ = perpendicular / hypotenuse.
And here, perpendicular = 3 unit
And hypotenuse = x unit
Substituting the values,
Sin30° = 3/x
1/2 = 3/x
x = 6
Therefore, the value of x is 6.
To learn more about the right-angled triangle;
brainly.com/question/3772264
#SPJ2
9. Spanky is four inches less than of Lanky's height. Write an expression for
Spanky's height.
Algebraic Expression:
Spanky
Lanky is 72 inches tall. How tall is Spanky?
Algebraic Expression
Numerical Expression
Answer
You pick the variable for
Lanky's height! Lanky
68 inches tall is Sparky
Step-by-step explanation:
just take of 4 tall of lanky then you will get the tall
there are 250 chairs and 150 chairs are full what is the percentage of occupied chair what is the percentage of non occupied chair
Answer:
What is p% of x?
What is
150
%
of
250
?
y =
375
what is p% of x? formula
Step-by-step explanation:
Raul quiere agregar a su artículo algunos recursos visuales, para que su tema que-
de más comprensible. ¿Cuál opción los muestra?
1. Gráficas
2. Cita textual
3. Ilustraciones
4. Tablas de datos
5. Referencias bibliográficas
B) 1, 4, 5
A) 1, 3, 4
D) 3,4,5
C) 2,3,4
chos Reservados. GOB. EDO. SEECH. MEAD
Answer:
La respuesta es la opción A
Please help me find the area of this polygon.
Answer:
28²
Step-by-step explanation:
area for square
4×4=16
area for triangle
6×2=12
12÷2=6(the formula for finding a triangle area is height×length after that divided by 2)
for both triangle
6×2=12
after that add 12+16 then you have the answer and don't forget your ²...