Answer:
[tex]Width = p + 4[/tex]
Step-by-step explanation:
Given
[tex]Area = p^2 + 9p + 20[/tex]
[tex]Length = p + 5[/tex]
Required
Determine the width
The area of a rectangle is:
[tex]Area = Length * Width[/tex]
This gives:
[tex]p^2 + 9p + 20= (p+5)* Width[/tex]
Expand
[tex]p^2 + 4p + 5p + 20= (p+5)* Width[/tex]
Factorize
[tex]p(p + 4) + 5(p + 4)= (p+5)* Width[/tex]
[tex](p + 5) (p + 4)= (p+5)* Width[/tex]
Divide both sides by p + 5
[tex]p + 4= Width[/tex]
[tex]Width = p + 4[/tex]
Does anyone know how to do both of these questions?
Answer:
Step-by-step explanation:
One interior angle of a triangle is 60⁰. The other angle measures are 25⁰ and x⁰. Which of the following could be the values of x?
Answer:
x = 95°
Step-by-step explanation:
x = 180° - 60° - 25° = 95°
What is the equation of a vertical line passing through the point (3, −5)? y = −5 x = −5 y = 3 x = 3
Answer:
Step-by-step explanation:
x = 3
Evaluate A2-B2 for A = 3 and B = -4.
O-2
0-7
Lenovo
Answer:
3×2+(-4)×(-2)=6+8=14
Answer #1 please ASAP
Answer:
4.5
Step-by-step explanation:
To find the median, put the data in order from smallest to largest
1,2,2,3,4,4,5,5,8,10,10,11
The count up the number of data points
12
Divide by 2
12/2
Split the data into 2 groups, 6 in each, starting at the beginning
1,2,2,3,4,4, 5,5,8,10,10,11
Since there is an even number
Add the last number in first group and the first number in the last group and divide by 2
(4+5)/2 = 9/2 = 4.5
The median is 4.5
Devon can take one of three different buses to and from work (bus a, b or c). he randomly catches one bus in the morning and another one on teh way home. teh table list the sample space of outcomes
Answer:
BB
Step-by-step explanation:
Answer:
ca
Step-by-step explanation:
y = x^2+ 2x + 7
y = 7 + x
Answer:
when x=0 y=7
when x=-1 y= 6
Step-by-step explanation:
to find x & y we can make the two x expressions equal to each other
x²+2x+7=7+x (we are going to set it equal to zero to find the roots/the x value)
x²+x=0
x(x+1)=0
x=0 x=-1 (two solutions for x)
now we just plug in these values and find the y values
when x=0 y=7
when x=-1 y= 6
Ainsley is going to the movies. The movie ticket costs $9.75. Snacks, s, cost $4.75 each. Write an equation to represent the total cost, t, of Ainsley’s trip to the movies.
Answer:
T = 9.75 + 4.75 s
Step-by-step explanation:
total cost: T = 9.75 + 4.75 s
S = each snack
so the equation for Ainsley’s trip to the movies is
T = 9.75 + 4.75 s
Which point on the number line is closest to the product of the numbers graphed at points R and T? Explain your answer.
Answer Point R = 7/10
and Point T = 9/10
7/10 · 9/10 = 63
63/100
6 /10 = point Q.
Step-by-step explanation:
Mr x will retire at the age of 60 years he wishes to have an amount of 200000 in his account at the time of retirement currently he is 40years and has an amount of 25000 how much interest rate bank should offer
Answer:
Rate of interest = 10.95%
Step-by-step explanation:
Given:
Amount deposit in bank = 25,000
Number of year = 60 year - 40 year = 20 year
Future value = 200,000
Find:
Rate of interest
Computation:
A = P[1+r]ⁿ
Future value = Amount deposit in bank[1+Rate of interest]ⁿ
200,000 = 25,000[1+r]²⁰
8 = [1+r]²⁰
1.1095 = 1 + Rate of interest
Rate of interest = 0.1095
Rate of interest = 10.95%
write 75 as a product of prime factors
After simplifying, what will x be equivalent to?
a2a4=ax
Answer:
x=8a
Step-by-step explanation:
Given data
We have the expression
a2a4=ax
Simplifying the LHS(Left Hand Side)
8a^2=ax
8a=x
Hence x will simplify to
x=8a
Use the commutative property write an equivalent expression.
7 + 8 =
Answer:
8 + 7
Step-by-step explanation:
By the commutative property,
7 + 8 = 8 + 7
17. Mrs. King took 12 crates packed with lunch boxes on a field trip. Each crate had 6 lunch boxes inside. How many lunch boxes were there altogether? Write a multiplication sentence to solve. IRROR
Answer:
12 x 6 = 72
Step-by-step explanation:
if she took 12 crates each with 6 boxes inside of them thats 12 x 6 lol
simple math moment
helpppp quckkkkk is timeddddd i will give brainliest to whos quickest and right
Answer:
A if I'm wrong I apologize
According to order of operations, which operation should be done first in this
problem:
45 - 9.5 + 8
a. multiplication
b. addition
c. division
Emiliano firmó hoy un pagaré por la cantidad de $ 92.000. la tasa de interés estipulada es un 20% anual
Cuantos dias se necesitan para los intereses de la playa $ 8.000
Answer:
159 días.
Step-by-step explanation:
Dado que Emiliano firmó hoy un pagaré por la cantidad de $ 92.000 a una tasa de interés estipulada de un 20% anual, para determinar la cantidad de días que se necesitan para que dicho interés genere unos $8.000 se debe realizar el siguiente calculo:
92.000 x 0.2 = X
18.400 = X
18.400 / 365 = 50,41
8.000 / 50,41 = X
158.69 = X
Así, se necesitarán 159 días para que se generen $8.000 en intereses.
10 You are planning a party for a group of friends. The cost of
the party will be $30 to rent the room plus $5 per person.
You have a budget of $75. Which inequality gives you the
best estimate of the number of people p that you can invite
to your party?
Answer:
30+5p ≤ 75 (C)
Step-by-step explanation:
Well ”p” is amount of people and every person costs 5 dollars do 5p. 30 dollars for a single room so that s a one time fee, 30+5p
Now the budget can’t be greater than 75 and 75 is the greatest number so we use a less then or equal to sign
5p+30≤75 or (C)
If a driver drives at a constant rate of 38 miles per hour, how long would it take the driver to drive 209 miles?
Answer:
5 hours and a half!
Step-by-step explanation:
209miles divided by 38 miles per hour is 5.5!!
The lengths of the sides of a triangle are 3, 4, 5. Can the triangle be a right triangle?
Answer:
Yes
Step-by-step explanation:
3²+4²=5²
9+16=25
25=25
What is the factored form of x9 + 27?
A.
(x3 − 3)(x6 + 3x3 + 9)
B.
(x3 + 3)(x6 − 3x3 + 9)
C.
(x − 3)3(x6 + 3x3 + 9)
D.
(x + 3)3(x6 − 3x3 + 9)
The factored form of the expression is [tex]x^9+27=(x^3 + 3) (x^6 - 3x^3 + 9 )[/tex]
Sum of squares of variablesThe sum of squares of variable a and b is expressed as:
[tex]a^3+b^3=(a + b) (a^2 - ab + b^2 )[/tex]
Given the expression x^9 + 27, this can be written as;
(x³)³ + 3³
where a = x³ and b =3
Substitute
[tex]x^9+27=(x^3 + 3) (x^6 - 3x^3 + 9 )[/tex]
This gives the factored form of the expression
Learn more on factoring here: https://brainly.com/question/25829061
#SPJ1
Answer:
(x3 + 3)(x6 − 3x3 + 9)
Step-by-step explanation:
PLATO
Please tell me if I got it right
Answer:
1/9
Step-by-step explanation:
1/3 / 3 = 1/9
she will run 1/9
jog 1/9
and walk 1/9
to check all of them equal 1/3
1/9+1/9+1/9 = 3/9 = 1/3
Pedro observed what customers ordered at his ice cream shop and found the following probabilities:
- P(Vanilla) = 0.3
- P(Sundae) = 0.2
- P(Vanilla and Sundae) = 0.15
Find the probability that a customer ordered Vanilla ice cream given they ordered a Sundae.
Answer: 75%
Step-by-step explanation: 0.15/0.2=0.75
The probability that a customer ordered Vanilla ice cream given they ordered a Sundae is 0.75 or 75%
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have:
Pedro observed what customers ordered at his ice cream shop and found the following probabilities:
P(Vanilla) = P(V) = 0.3
P(Sundae) = P(S) = 0.2
P(Vanilla and Sundae) = P(V and S) = 0.15
To find the probability that a customer ordered Vanilla ice cream given they ordered a Sundae:
P(V|S) = P(V and S)/P(S)
P(V|S) = 0.15/0.2
P(V|S) = 0.75 or 75%
Thus, the probability that a customer ordered Vanilla ice cream given they ordered a Sundae is 0.75 or 75%
Learn more about the probability here:
brainly.com/question/11234923
#SPJ2
The length of a room is 19 feet. When using a 1/4 inch = 1 foot scale, what would be
the length of the wall on a floor plan?
Answer:
1 Expert Answer
19.5 ft would be represented, in the floor plan, as ¼ of 19.5 inches, i.e. 4.875 inches (four and seven eighths inches).
Please like and give me brainliest and rate!
Oscar ran the 100-yard dash in 12.65 seconds. Jesiah ran the 100-yard dash in 11.57 seconds.
How many seconds faster was Jesiah's time than Oscar's time?
Jesiah's time was faster than Oscar's time by seconds.
Answer:
Jesiah's time was faster than Oscar's time by 1.08 seconds.
Step-by-step explanation:
To find how much faster Jesiah ran than Oscar, subtract Oscar's time with Jesiah's time.
12.65 - 11.57 = 1.08
Jesiah was faster than Oscar by 1.08 seconds.
Good luck ^^
Valerie and Bret have a total 18 dog show ribbons. Bret has twice as many ribbons as
Valerie
How many ribbons does each have?
no
Answer: Valerie has 9 and Bret has 18
Step-by-step explanation:
27-18= 9
Catherine got 9 3/8 pounds of cherries from her tree this year last year she only got 6 1/4 pound how many times more pounds did she get this years than last year
Answer:
Answers and steps are in picture.
the point is (5,-2) and the slope is 1/-5
Answer:
y = 1/-5x - 1
Step-by-step explanation:
y+2 = -1/5(x-5)
y+2 = -1/5x+1
y = -1/5x -1
The greatest common factor of 30 and 18 is 6. What do you think the term greatest common factor means?
Answer: 6
Step-by-step explanation:
6 x 5 = 30
6 x 3 = 18
6 x 1 = 6
The term greatest common factor means the biggest number that can divide into a group of numbers, and in this case, the numbers are 30, 18, 6, and the biggest number that can divide into all of them is 6.
Hope this helps,
Good luck!
Find the sum of the first 20 terms of the sequence 2,8,14,20
Answer:
S20=230Step-by-step explanation:
2,8,14,20first determine whether it is arithmetic progression or geometric sequence. for APCommon difference (d) = second term - first termD=T2-T1 D=T3-T2
D=8-2 D=14-8
D=6 D=6
Also try for GP COMMON RATIO= T2/T1r=T2/T1 r=T3/T2
r=8/2 r=14/8
r=4 r=7/4
therefore, we can conclude that this is AP since we have the same common differences in the sequence Sn=n/2[2a+(n-1)]. where, a=first term n=number of terms S20=20/2[2*2+(20-1)] S20=10(4+19) S20=10(23) S20=230Answer: 1180
Step-by-step explanation:
since its going 2,8,14,20, we can see it goes up by 6 every time Add 6 every time until u have 20 Numbers in total(including 2,8,14,20) then add them together to get ur total