Answer:
9
Step-by-step explanation:
Данный,
=> x - 3 = 6
=> x = 6 + 3
=> x = 9 (Отвечать)
Find the product. Multiplication of the binomial.
We have, [tex](2r+3)(3r^2+4r+5)[/tex] or more generally,
[tex](a+b)(c+d+e)=ac+ad+ae+bc+bd+be[/tex]
So using that, we find,
[tex](2r+3)(3r^2+4r+5)=6r^3+8r^2+10r+9r^2+12r+15[/tex], then collect terms with same exponent and get [tex]\boxed{6r^3+17r^2+22r+15}[/tex].
-4Runner -2r+5 what is the answer
A school gymnasium is being remodeled. The basketball court will be similar to an NCAA basketball court, which has a length of 94 feet and a width of 50 feet. The school plans to make the width of the new court 45 feet. Find the perimeters of an NCAA court and of the new court in the school.
Answer:
Perimeter of NCAA court=288 feet
Perimeter of new court=259.2 feet
Step-by-step explanation:
We are given that
Length of NCAA court, l=94 feet
Width of NCAA court, b=50 feet
Width of new court, b'=45 feet
We have to find the perimeter of an NCAA court and new court in the school.
Perimeter of NCAA court=[tex]2(l+b)[/tex]
Perimeter of NCAA court=[tex]2(94+50)[/tex]feet
Perimeter of NCAA court=288 feet
When two rectangles are similar then the ration of their corresponding sides are equal.
Using the property
[tex]\frac{Perimeter\;of\;NCAA\;court}{Perimeter\;of\;new\;court}=\frac{Width\;of\;NCAA\;court}{Width\;of\;new\;court}[/tex]
[tex]\frac{288}{Perimeter\;of\;new\;court}=\frac{50}{45}[/tex]
Perimeter of new court=[tex]\frac{288\times 45}{50}[/tex] feet
Perimeter of new court=259.2 feet
The perimeter of the NCAA basketball ground is 288 feet, while the school basketball ground is 259.2 feet.
Given to us,
For NCAA basketball court,
Length, [tex]\bold {L_{NB}}[/tex] = 94 feet,
Width, [tex]\bold {W_{NB}}[/tex] = 50 feet,
For School basketball court,
Width, [tex]\bold {w_{school}}[/tex] = 45 feet,
As discussed in the question, school basketball court will be similar to an NCAA basketball court. Thus, they will be in ratio,
[tex]\bold {\dfrac{L_{NB}}{W_{NB}} = \dfrac{l_{school}}{w_{school}}}[/tex]
Substituting the value,
[tex]\bold {\dfrac{94}{50} = \dfrac{l_{school}}{45}}[/tex]
[tex]\bold{ l_{school} = \dfrac{94\times 45}{50}}[/tex]
[tex]\bold{ l_{school} = 84.6 }[/tex]
We know that, perimeter of rectangular = 2(length+width),
[tex]\begin{aligned}Perimeter_{NB}&= 2(length+width)\\&= 2(94+50)\\&= 288 \end{aligned}[/tex]
[tex]\bold{\begin{aligned}Perimeter_{school}&= 2(length+width)\\&= 2(84.6+45)\\&= 259.2\end{aligned}}[/tex]
Hence, the perimeter of the NCAA basketball ground is 288 feet, while the school basketball ground is 259.2 feet.
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Match each equation to the line of best fit that it models.
Where are the the equations?
2 kilometers to 72 meters write each ratio in simplest form
Hi there!
1:36
1.Find common denominator:
[tex]2*2/72*2[/tex]
Commonest denominator: 2
2.Divide the two terms:
[tex]2*2=1/72*2=36[/tex]
3.Convert into rate form:
[tex]1,36=1:36[/tex]
This means, 2 kilometers to 72 meters simplest form is 1:36.
A T-shirt originally costed $30. It has its priced lowered by 15%. What is its new price?
Answer:
$25.50
Step-by-step explanation:
30x15%(0.15)=4.5
30-4.5=25.5
$25.50
What is the measure of < JKL?
O 60°
0 80°
O 110°
O 120°
Answer:
It might be 110 as the answer
Answer:
60 degrees
Step-by-step explanation:
I have attached a picture of me explaining how I found my answer. Hope that helps, thank you :) !!
Pls help ASAP if you can
Does coordinate a or coordinate b represent a greater number?
(0,4)
(6, b)
(0,0)
(a,0)
Answer:
A is correct.
Step-by-step explanation:
Answer:
BTS YA"LL
Step-by-step explanation:
BTS BTS BST BST SBTS BTS IS THE CURE
Hurry can somebody give me the answer please it’s due at 11:59
Answer:
Question 1: (1,5) (I believe that is the format they are looking for.)
Question 2: (5,7)
Step-by-step explanation:
Just substitute the letters for the numbers they give you then solve.
Question 1:
y = 5
5 = x + 4 Subtract 4 from both sides.
1 = x
Question 2:
x = 5
y = 2 · 5 - 3
y = 10 - 3
y = 7
whats 1 plus 1 but plus soccer ball //////////////////////////////////////?
Answer:
Last I checked, its a fish
Step-by-step explanation:
Answer:
The answer is tennis ball
Step-by-step explanation:
Clearly 1+1=11 and since 11 - sock = football you subtract
football- soccer ball = tennis ball
ah duh (☞゚ヮ゚)☞ ༼ つ ◕_◕ ༽つ
Find the value of x with the equation
Answer:
x=4
Step-by-step explanation:
SU=TR
x+1=2x-3
-x. -x
1=x-3
+3. +3
x=4
A number is 1/7 of another number the difference of the numbers is 18 (assume that you are subtracting the smaller number from the larger number) find the numbers
Answer:
Step-by-step explanation:
x = y/7
y-x = 18
y - y/7 = 18
(6/7)y = 18
y = 21
x = y/7 = 3
Date:
.
'. Due to coxid-19 pandimec, the Jacinto
Family donated 180 pos Face Shield
and the aguinaldo family also don
213 pcs of pace shield to the front
liner, If a face shield cost 8m pesos
How much
the total cost of
donation.
tone soola
Answer:
It's 3,114: )
Step-by-step explanation:
Because if you multiply the 8m to 180 it will remain to 1,440 plus additional 1,704 so it will be 3,114, the main answer
Given the function h(x) = x^2+2x -2 determine the average rate of change of the
function over the interval —7≤x≤2
Answer: Good luck my friend I have no idea
Step-by-step explanation:
in the diagram, what is the measure of
Answer:
your question is incomplete
Step-by-step explanation:
ehem
Answer: I need a question to answer
Step-by-step explanation:
I need help I don't understand this
Answer:
Proportional
Step-by-step explanation:
The Bags of Screws (input) is multiplied by 5 to get the Price (output) each time, so the situation is proportional. If one or two numbers were not multiplied by 5 to get the Price (output), the situation would not be proportional.
Hope it helps!
PLEASE HELP!!!!!!!!!!
Answer:
9
Step-by-step explanation:
9x9=81
17-(5-p)=2(5p-16)
Step by step explanation please
Answer:
p= 44 /9
(44 over 9)
Step-by-step explanation:
how many different three digit numbers can be formed using the digits 9 3 4 7 and 6 assume the number can be used more than once?
Answer:
60
Step-by-step explanation:
Bad gums may mean a bad heart. Researchers discovered that 80% of people who have su ered a heart attack had periodontal disease, an inammation of the gums. Only 30% of healthy people have this disease. Suppose that in a certain community heart attacks are quite rare, occurring with only 10% probability. If someone does not have periodontal disease, what is the probability that he or she will have a heart attack?
Answer:
0.069 = 6.9% probability that he or she will have a heart attack
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Does not have periodontal disease
Event B: Has a heart attack.
Probability of not having a periodontal disease:
100 - 80 = 20% of 10%(had a heart attack).
30% of 100-10 = 90%(did not have a heart attack). So
[tex]P(A) = 0.2*0.1 + 0.3*0.9 = 0.29[/tex]
Intersection of A and B:
Not having the disease, suffering a heart attack, so 20% of 10%.
[tex]P(A cap B) = 0.2*0.1 = 0.02[/tex]
What is the probability that he or she will have a heart attack?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.02}{0.29} = 0.069[/tex]
0.069 = 6.9% probability that he or she will have a heart attack
La mamá del profesor Ernesto tiene una bolsa con 3/4 kilogramos de arroz y guiso 2/3 de su contenido Que fracción de un kilogramo utilizo para cocinar
Answer: ella usó (1/2) kg de arroz para cocinar.
Step-by-step explanation:
La madre de Ernesto tenía una bolsa con 3/4 kg de arroz.
Sabemos que uso 2/3 de esa cantidad para hacer un guiso.
Entonces ella usó 2/3 de 3/4 kilogramos de arroz.
Entonces ella usó:
(2/3)*(3/4) kg de arroz.
Recordemos que esto se puede escribir como el producto entre los numeradores dividido por el producto de los denominadores:
(2*3)/(3*4) kg de arroz.
(6/12) kg de arroz
(1/2) kg de arroz.
Esto significa que ella usó (1/2) kg de arroz para cocinar.
3x + 2y = 6
x - y = 3
how many solutions are there
Answer:
1
Step-by-step explanation:
Multiply the second equation by 3 to get
2x-2y=6
Add this to the first equation to get
5x=12
x=12/5
Solve the second equation for y
y=x-3=12/5-3=12/5-15/5=-3/5
Isosceles trapezoid W X Y Z is shown. Sides X Y and W Z are parallel. The length of X Y is 3 a minus 4 and the length of W Z is 3 a. Sides W X and Y Z are congruent. The length of W X is 2 a minus 2 and the length of Y Z is a + 1.
What is the length of XY?
3 units
4 units
5 units
6 units
Answer: 5 units
Step-by-step explanation:
En un pequeño taller se emplean dos trabajadores de tiempo parcial. La suma de los salarios que
devengan los dos va de $750 a $820 por semana. Si uno de ellos gana $70 más que el otro, ¿en qué
rango se encuentran los sueldos semanales para cada uno?
Answer:
$340 ≤ S2 ≤ $375
$410 ≤ S1 ≤ $445
Donde S1 es el sueldo del trabajador que gana más.
Step-by-step explanation:
Definamos las variables:
S1 = salario del trabajador 1
S2 = salario del trabajador 2
Y supongamos que el trabajador 1 gana $70 más que el trabajador 2.
Entonces tenemos la relación:
S1 = S2 + $70
Y sabemos que la suma de sus salarios esta entre $750 y $820
Entonces:
$750 ≤ S1 + S2 ≤ $820
Si reemplazamos S1 por lo que tenemos arriba, nos da:
$750 ≤ (S2 + $70) + S2 ≤ $820
$750 ≤ $70 + 2*S2 ≤ $820
Ahora podemos restar $70 en las tres partes:
$750 - $70 ≤ $70 + 2*S2 - $70 ≤ $820 - $70
$680 ≤ 2*S2 ≤ $750
Ahora podemos dividir las tres partes por 2:
$680/2 ≤ 2*S2/2 ≤ $750/2
$340 ≤ S2 ≤ $375
ahora tenemos el rango de S2.
Y sabemos que S1 = S2 + $70
entonces:
S2 = S1 - $70
reemplazando obtenemos:
$340 ≤ S1 - $70 ≤ $375
Sumamos $70 en las 3 partes:
$340 + $70 ≤ S1 - $70 + $70 ≤ $375 + $70
$410 ≤ S1 ≤ $445
Que es el rango de S1.
Entonces:
$340 ≤ S2 ≤ $375
$410 ≤ S1 ≤ $445
Son los rangos de los sueldos de cada uno.
Which is equivalent to the ratio 4:5?
A. 95: 100
B. 80: 100
C. 60: 100
D. 40: 100
E. 20 : 100
Answer:
B) 80:100
Step-by-step explanation:
80:100
/20 /20
4:5
B is the correct one
Solve the inequality.
|5 - 2x|> 14
Answer:
x < −9/2
or
x > 19/2
I hope this helps <333
Help help help help help
giving out 20 points for correct answer only answer if yk. thx hagd
The following table shows the number of hours some middle school students in two cities spend texting each week:
City A 9 27 17 24 21 12 25 25 18
City B 6 20 26 15 23 25 14 14 11
Part A: Create a five-number summary and calculate the interquartile range for the two sets of data.
Part B: Are the box plots symmetric? Justify your answer.
Answer:
the five number summary for city a is the following:
min- 9
q1- 17
median- 21
q3- 25
max- 27
Checkpoint
Which ratios are equivalent to the given ratio?
9:36
Select each correct answer.
1:4
2 to 8
4/1
12 to 3
18/72
ratios into their simplest form a)35:56
Answer:
Reduced fraction: 58. Therefore, 35/56 simplified to lowest terms is 5/8
Answer:
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator. GCD of 35 and 56 is 7.
35 ÷ 756 ÷ 7.
Reduced fraction: 58. Therefore, 35/56 simplified to lowest terms is 5/8.