Answer:
9,10 or -10,-9
Step-by-step explanation:
Let call the first integer n and the second integer n+1 since they are consecutive.
Since the product of the integer is 90 set up this equation
[tex]n \times (n + 1)= 90[/tex]
[tex]n {}^{2} + n = 90[/tex]
Subtract 90 to get it on the left side
[tex] n {}^{2} + n - 90 [/tex]
Apply quadratic formula
[tex] - 1 + - \sqrt{ \frac{1 {}^{2} - 4(1)( - 90) }{2(1)} } [/tex]
[tex] - 1 + - \sqrt{ \frac{1 - ( - 360}{2} } [/tex]
[tex] - 1 + - \sqrt{ \frac{1 + 360 = 361}{2} } [/tex]
[tex] - 1 + - \frac{ \sqrt{361 = } 19}{2} [/tex]
The roots are n= -10 and 9. We can use either root but let use a positve root
We are taking the positve roots
Plug 9 as n into n+1
[tex]9 + 1 = 10[/tex]
or
[tex] - 10 + 1 = - 9[/tex]
Write the equation of each line using the given information. Show all work.
1. Passing through the points (4, 5) and (-2, -7). Use fractions, not decimals.
Answer:
y=2x
Step-by-step explanation:
y2-y1/x2-x1
-7-5/-2-4
-12/-6
simplified to = 2
so y=2x
46.8 divided by 39 equals what
Answer:
1.2
Step-by-step explanation:
Find the volume of the sphere below in terms of pi? Round to the nearest tenth
8 cm
Answer:
B
Step-by-step explanation:
Answer:
b) 682.7
Step-by-step explanation:
4/3 π r3
1.33 x π x (8x8x8)
1.33 x 512 x π
681 . 9 π cm3 (round it to nearest tenth) = 682.7
M(4, 2) is the midpoint of RS. The coordinate of S are (6, 1). What are the coordinates of R?
Answer:
Step-by-step explanation:
Compare coordinates of S and M
difference in x-coordinates = 4-6 = -2
difference in y-coordinates = 2-1 = 1
x-coordinate of R = x-coordinate of M - 2 = 4-2 = 2
y-coordinate of R = y-coordinate of M + 1 = 3
R(2,3)
Ricky spent $44 total on a baseball mitt and a ball. If the mitt cost
$2 more than 5 times the cost of the ball, find the cost of each
item.
Answer:
The baseball mitt was $37 and the ball was $7
Step-by-step explanation:
Let m represent the cost of the mitt and let b represent the cost of the ball
Set up a system of equations:
m + b = 44
m = 5b + 2
Solve by substitution by plugging in 5b + 2 as m in the first equation:
5b + 2 + b = 44
Solve for b:
6b + 2 = 44
6b = 42
b = 7
Plug in 7 into the first equation and solve for m:
m + b = 44
m + 7 = 44
m = 37
So, the baseball mitt was $37 and the ball was $7
Hello random person and it would be very helpful if you know this answer!
Write the phrase as an expression.
1. 15 decreased by the product of a number x and 4.
Answer:
4x - 15
hope this helped
12. y. y. y
What is the variable?
Answer:
Step-by-step explanation:
Answer:
y^3
Step-by-step explanation:
12.y. y. y= 12y^3
variable is a symbol which functions as a placeholder for varying expression or quantities, and is often used to represent an arbitrary element of a set. So basically a variable is the letter in the equation
Hello i have no question im just giving brainliest to whoever answers first
Answer:
thanks very much I really appreciate your kindness
Ms. Gonzalez buys folders for her office. She buys 4 small folders for every 1 large
folder. She buys 15 folders in all. Small folders cost $0.75, and large folders cost
$1.25. How much more money does Ms. Gonzalez spend on small folders than
large folders? Show your work.
Answer:
Step-by-step explanation:
The amount of money that Ms. Gonzalez spends on small folders than large folders will be $12.75.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Ms. Gonzalez buys folders for her office. She buys 4 small folders for every 1 large folder. She buys 15 folders in all. Small folders cost $0.75, and large folders cost $1.25.
Let 'x' be the number of small folders and 'y' be the large folders. Then the equations are given as,
x + y = 15 ...1
y = 4x ...2
From equations 1 and 2, then we have
x + 4x = 15
5x = 15
x = 3
Then the value of 'y' is given as,
3 + y = 15
y = 12
The cost of the small folder is given as,
⇒ $0.75 × 3
⇒ $2.25
The cost of the large folder is given as,
⇒ $1.25 × 12
⇒ $15
The difference is given as,
⇒ $15 - $2.25
⇒ $12.75
The amount of money that Ms. Gonzalez spends on small folders than large folders will be $12.75.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ5
A production facility employs 10 workers on the day shift, 8 workers on the swing shift, and 6 workers on the graveyard shift. A quality control consultant is to select 3 of these workers for in-depth interviews. Suppose the selection is made in such a way that any particular group of 3 workers has the same chance of being selected as does any other group (drawing 3 slips without replacement from among 24).
Required:
a. How many selections result in all 5 workers coming from the day shift?
b. What is the probability that all 5 selected workers will be from the day shift?
c. What is the probability that all 5 selected workers will be from the same shift?
d. What is the probability that at least two different shifts will be represented among the selected workers?
e. What is the probability that at least one of the shifts will be unrepresented in the sample of workers?
Answer:
252 ; 0.00593 ; 0.0074 ; 0.9926 ; 0.347
Step-by-step explanation:
A.)
n = 10 ; r = 5
Required outcome :
nCr = n! ÷ (n-r)!r!
10C5 = 10! ÷ (10-5)!5!
(10*9*8*7*6) / (5*4*3*2*1)
= 252
B.)
Total possible outcome : 24C5 = 42504
P(all will be from day shift) = 252 / (24C5) = 0.00593
C.)
P(all will be from the same shift) :
[(10C5)+(8C5)+(6C5)] ÷ 24C5
(252 + 56 + 6) / 42504 = 0.0074
D.)
Probability that at least 2 different shift will be represented :
1 - P(all will be from the same shift)
1 - 0.0074 = 0.9926
D.)
Probability that atleast one of the shift will be unrepresented :
(10+6C5) + (8+6C5) + (10+8C5) - (10C5)+(8C5)+(6C5)
[16C5 + 14C5 + 18C5 - 10C5 + 8C5 + 6C5] ÷ 24C5
(4368 + 2002 + 8568 - 252 + 56 + 6) / 42504
= 14748 / 42504
= 0.347
In a recent survey of 1,000 randomly selected registered voters in the town of Armstrong, 803
are in favor of installing bicycle safety signs. Based on the survey results, approximately how
many of Armstrong's 16,092 registered voters are in favor of installing bicycle safety signs?
A. 803
B. 3,170
C. 12,922
D. 15,092
Answer:
12,922
Step-by-step explanation:
estimate = 16,092 * 803/1,000 = 12,922
In an Arithmetic progression, if d= -4, n=7, an=4, then find a.
Answer:
a = 28
Step-by-step explanation:
[tex] a_n = a + (n-1) d[/tex]
[tex] 4 = a + (7-1) (-4)[/tex]
[tex] 4 = a + 6 (-4)[/tex]
[tex] 4 = a - 24[/tex]
[tex] 4 +24= a [/tex]
[tex] a = 28[/tex]
What is the opposite of 56?What is the value of –(-4)?
Answer:
-56;+4
Step-by-step explanation:
56 oopposite is -56
-(-4)=+4
please i need to check this and to see the answers
Answer:
why is your homework harder than mine AP homework- i cant-
Step-by-step explanation:
Answer:
They look decent and good, that might do it!
n is an integer.
Write the values of n such that -15 < 3n <6
I need know please
Answer:
-5<n≤2
Step-by-step explanation:
Divide 3 by -15 nad 6 since we need to find the "n" we need to divide on all sides, so -15 divided by 3 is -5 so replace -15 with -5 and 6 divided by 3 is 2 so replace 6 with 2
A picture shows the net of the lateral surface of the cone. Which statement about this cone is NOT true?
Answer:
Area of the Net is incorrect
Step-by-step explanation:
Base Surface Area = π×12^2
= 452.38934211693 inches^2
Lateral Surface Area = π×12×√12^2 + 15^2
= 724.1762903163 inches^2
Total Surface Area = 1176.5656324332 inches^2
Miguel withdrew $20 per week from his bank account for 4 weeks. Which expression shows the change in his account balance?
A. -20+4
B. -20-4
C. -20x4
D. -20 ÷4
Answer:
c
Step-by-step explanation:
The expression that shows the change in Miguel's account balance is -20×4. Thus, option (C) is correct.
Given, Miguel withdrew $20 per week from his bank account for 4 weeks.
Since he withdrew money, the change in his account balance would be negative.
The expression -20 represents the amount he withdrew each week, and the -4 represents the number of weeks.
Multiplying 4 with the initial balance of -20 gives us the change in his account balance.
Therefore, the expression -20×4 correctly represents the change in Miguel's account balance.
Learn more about expressions here:
brainly.com/question/21751419
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Suppose a line parallel to side Y Z of AXY Z intersects sides XY and XZ at points N and M, respectively. Which of the
following is false? (1 point)
Please help me with this word problem thank you
Answer:
10 miles per hour
Step-by-step explanation:
122-52= 70
70 miles/ 7 hours
10 miles per hour
3x+2>29. solve for x
Answer:
x>9
Step-by-step explanation:
3x+2−2>29−2
3x>27
divide by 3
3x/3>27/3
does anybody know what to do here?
Answer:
m=6
Step-by-step explanation:
38+8m+4=90
42+8m=90
8m=90-42
8m=48
m=6
A jacket was sold for $81 and was on sale for 10% off. What was the original price of the jacket before the sale?
Answer:
que no se hablar inglés o tu idioma por como hablé te ayudaria pero como no hablas español ps nd ps......bay
I would like anyone to help me with this, please!
Answer:
the sencond and the last one
Answer:
125 • 125
Step-by-step explanation:
5⁶ = 5 × 5 × 5 × 5 × 5 × 5 = 15,625
125 • 125 = 15,625
They give the same result so both expressions are equivalent to each other.
Please answer :)
( Will give brainlst)
Answer: 10
Step-by-step explanation:
20 PTSS !!!
PLEASE HELPP !!
Because it is extremely hard to find the area of this figure all together, it would be in our best interest to split this figure up into three different pieces: the two horizontal rectangles, and the verticle rectangle. We can find the area of all three and add them up. Be aware that there are two different ways that you can break this figure up, As shown in the attachments. I will be using the first image (the one with the tall horizontal rectangles, NOT the almost-squares).
So, we see that we have enough information to solve for the area of the left-most rectangle. Area = lw. 10 x 4 = 40, so the area is 40. Next, we have to notice, that the horizontal rectangles are also the same, so both of the areas of the two horizontal rectangles are 40.
Now, we can find the middle rectangle. We know that the length of the entire thing is 18, but it is taken up by 8 (4+4) of the horizontal triangles, so 18-8=10, so the length Is 10. We also know that the height of the horizontal rectangles is 10, so 10-3=7. Our dimensions for the rectangle are 10x7 or 70 square units. If we add them all together, 40+40+70=150.
The area is 150 square units
F(x)= 3x+4
find inverse, domain, at range of the function and it's inverse.
Answer:
12
вот правильный ответ
9. Sarah has to create a floral arrangement out of twigs and flowers that has a total of 9 objects. She has to
pay $1 for each twig she uses and $3 for each flower. If she spent $15 on the arrangement, how many
twigs and flowers did she buy?
Answer:
tu debes de saber por qué si yo lo sé tú también no es verdad
Find the selling price of a $30 item after a 40% markup.
Someone please help me with this and show work I don’t get it I’ll give brainliest
Answer: THAT IS RIGHT OK BYE MAN
Step-by-step explanation: OK BYE
From an airplane flying over the ocean, the angle of depression to a submarine lying under the surface if 24 degrees 10 minutes. At the same moment, the angle of depression from the airplane to a battleship is 17 degrees 30 minutes. The distance from the airplane to the battle ship is 5120 ft. Find the distance between the battleship and the submarine.
