Answer: 123/8.50
Step-by-step explanation:
The square of an integer is 5 more than 4 times the integer. Find the integer.
Answer:
The integer can be -1 or 5.
Step-by-step explanation:
Let an integer is x.
ATQ,
The square of an integer is 5 more than 4 times the integer.
[tex]x^2=5+4x[/tex]
or
[tex]x^2-5-4x=0\\\\x^2-4x-5=0[/tex]
It is a quadratic equation. Using middle term splitting,
[tex]x^2-5x+x-5=0\\\\x(x-5)+1(x-5)=0\\\\(x+1)(x-5)=0\\\\x=-1,5[/tex]
So, the integer can be -1 or 5.
If the square of an integer is 5 more than 4 times the integer, the integers are -1 and 5
Let the unkown integer be "x"
The square of an integer is expressed as x^2
5 more than 4 times the integer is expressed as [tex]4x +5[/tex]
Equate both expressions to have:
[tex]x^2 = 4x + 5\\[/tex]
Equate to zero and factorize:
x^2 - 4x - 5 = 0
x^2 - 5x + x - 5 = 0
x(x - 5) + 1(x - 5) = 0
(x + 1)(x - 5) = 0
x = -1 and 5
Hence the integers are -1 and 5
Leearn more here: https://brainly.com/question/13805464
What is the least natural number that is greater than 10 and has a remainder of 5 when divided by 6, has a remainder of 5 when divided by 9, and has a remainder of 5 when divided by 12?
Answer:
41
Step-by-step explanation:
I am essentially going through every multiply of 12 and then adding 5 to it, because we are using the rule that it should have a remainder of 5. It should also be a remainder of 5 if divided by 6 and 9 as well.
12 + 5 = 17
17/6 = 2 R 5
17/9 = 1 R 8
24 + 5 = 29
29/6 = 4 R 5
29/ 9 = 3 R 2
36 + 9 = 41
41/6 = 6 R 5
41/9 = 4 R 5
Hence, the number is 41
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
Step-by-step explanation6:
calculate the gross margin if the selling price is $264 and the cost is $214
Answer:
Gross margin= $50
Step-by-step explanation:
Giving the following information:
Selling price= $264
Unitary cost= $214
To calculate the gross margin, we need to deduct from the selling price the unitary cost:
Gross margin= selling price - unitary cost
Gross margin= 264 - 214
Gross margin= $50
How long does it take to double $1000 at an annual interest rate of 6.35% compounded monthly?
Answer:
63.5
Step-by-step explanation:
1000× 6.35 / 100 = 63.5
QUICK If r+t = r and r−t = −s which of the following must be equal to t?
(A) −s
(B) −r
(C) 0
(D) r
(E) s
Answer:
C) 0
brainliest plz
The value of t on solving the equations r + t = r and r − t = − s is 0 and s + r so, option C is correct.
What is the equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given:
r + t = r and r − t = − s
Calculate the value of t as shown below,
t = r - r (Transform the equation as shown)
t = 0
-t = -s - r
t = s + r
Thus, the value of t can be 0 and s + r.
To know more about equation:
https://brainly.com/question/12788590
#SPJ2
In testing to see whether opinion with respect to the use of instant replay is independent of the category of the person interviewed, a chi-square test statistic of 27.99 and a p-value less than 0.001 were calculated. Which of the following statements is correct?
a. The number of degrees of freedom for the test is 8 - 1 = 7.
b. The chi-square test should not have been used because two of the counts in the table are less than 5.
c. The null hypothesis states that there is an association between category and opinion about the use of instant replay, and the small p-value suggests that the null hypothesis should be rejected.
d. The small p-value suggests that there is evidence of an association between category and opinion about the use of instant replay.
e. The chi-square test shows that fans favor the use of instant replay.
Answer: (D) The small p-value suggests that there is evidence of an association between category and opinion about the use of instant replay.
Step-by-step explanation:
From the P-value supplied, it shows that the researcher was 99% confident of the experiment and have 1% chance of error.
Given that the p-value less than 0.001 were calculated, it translates that there is a statistical dependency between the category of the people interviewed and opinion about the use of instant replay.
SOMEONE HELP ME ILL GIVE YOU 20 POINTS MATH
I cannot quite show this to you, but the coordinates are listed below. If you want to know how you would answer this type of question, read the following. The question is indicating that you must translate. This means to move the figure however many units. In this question, it says 5 units to the right and 4 units down. You would take the bolded point and drag it 5 to the right. Then, from that point, drag it 4 units down.
Point in original: (-7,3)
Point in final figure:(-2,-2)
Hope this helps!
Select the correct answer.
A home-based sign company uses this function to model its monthly profit, where x is the price of each sign it sells.
p(x) = -10x^2 + 498x - 1,500
what is the company's profit if it sells each sign for $20?
A. $18,020
B. $4,460
C. $14,420
D. $1,402
The profit made id each sign is sold for $20 is $4460
The profit model, P(x) = -10x² + 498x - 1,500
Where, x = price per sign sold
If the price per sign sold is $20. Hence, x = $20
The profit made can be calculated thus :
Put x = 20 in the profit function :
P(20) = -10(20)² + 498(20) - 1,500
P(20) = - 10(400) + 9960 - 1500
P(20) = - 4000 + 9960 - 1500
P(20) = $4,460
The profit made is $4,460
Learn more : https://brainly.com/question/18109354
Answer:
$4,460
Step-by-step explanation:
I got a 100% on my test
Find the x-intercept of the following equation: 9x^2 + 2y=18
Step-by-step explanation:
To get the x-intercept, set y = 0. Then solve for x:
[tex]9 {x}^{2} = 18 \\ x = \sqrt{2} [/tex]
Therefore, the x-intercept is
[tex]( \sqrt{2} \: \: \: \: 0)[/tex]
Which expression is equivalent to?
Answer:
D
Step-by-step explanation:
multiply the inside by -0.5
Answer:
[tex]-3\left(x-2\right)[/tex]
Step-by-step explanation:
[tex]\frac{-1}{2}\left(6x-12\right)=\frac{\left(-1\right)\left(6x-12\right)}{2}==-\frac{\left(6x-12\right)}{2}=-3\left(x-2\right)[/tex]
Multiply: (x + 3)(x – 4)
What is the middle term in the simplified product?
a) x
b) –x
c) 3x
d) -4x
Answer:
answers b is is correct ......
There are 500 students in school. 40% of them are boys and the rest are girls. What is the percentage of girls? And find the number of boys and number of girls in the school
WILL GIVE BRANLIST Probability Event:
You have a deck of 20 cards numbered 1-20. You draw a card from a deck and keep it. The next person draws another card. What is the probability you will both draw an even card?
Label the probability event above as either
A
Independent
B
Dependent
Answer:
9/38
Step-by-step explanation:
The odds of your drawing an even card from the deck are 10/20, or 1/2. The odds of your friend also taking an even card after (WITHOUT recplacing the card) is 9/19, which cannot be further simplified. You multiply the two -- 1/2 * 9/19 -- which results in your answer, 9/38. This is a dependent probability.
Select the correct answer.
Becky wants to make a sculpture in the shape of a rectangular prism for the science fair. The sculpture will be made of cubic foot of clay and will have a base area of square foot. How tall will the sculpture be?
A.
foot
B.
foot
C.
foot
D.
foot
E.
foot
The height of the rectangular sculpture is h = ( 20/21 ) feet
What is the Volume of a Rectangle?The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle
Volume of Rectangle = Length x Width x Height
Volume of Rectangle = Area of Rectangle x Height
Given data ,
Let the volume of the rectangular sculpture be V
Now , the value of V = ( 16/21 ) feet³
And , the base area of the rectangular sculpture B = ( 4/5 ) feet²
Volume of Rectangle = Area of Rectangle x Height
On simplifying , we get
The height of the sculpture h = ( 16/21 ) feet³ / ( 4/5 ) feet²
The height of the sculpture h = ( 20/21 ) feet
Therefore , the value of h is ( 20/21 ) feet
Hence , the height of the sculpture is ( 20/21 ) feet
To learn more about volume of rectangle click :
https://brainly.com/question/25422723
#SPJ3
If a 6.2% Social Security tax is applied to a maximum wage of $106,800, the maximum amount of Social Security tax that could ever be charged in a single year is: a. $213.60 b. $6,408.00 c. $6,621.60 d. $17,225.81
Answer:
Correct Answer:
C: $6,621.60
(EDGE 2021)
Step-by-step explanation:
The maximum amount of Social Security tax that could ever be charged in a single year exists $6,621.60.
What is Social Security tax?Social Security exists financed through a reliable payroll tax.
Knowing that a 6.2% Social Security tax exists applied to a maximum wage of $106,800, the maximum amount of Social Security tax that could ever be charged in a single year stands at $6,621.60. Social Security offers all but unemployment insurance.
Therefore, the correct answer is option c. $6,621.60
To learn more about Social Security tax
https://brainly.com/question/1166976
#SPJ2
The list shows the amount of snow, in inches, that fell each day for 5 days.
8, 3, 12, 1,1
What is the mean daily snowfall?
O A. 1 inch
B. 3 inches
OC, 4 inches
D. 5 inches
Answer:
5 inches
Step-by-step explanation:
add all them and divide by 5.
I need help plz I have a time test plz
Answer:
interest = $600
Step-by-step explanation:
for simple interest,
I = PTR/100
Principal (P) = $5000
Time (T) = 3 YEARS
Rate(R) = 4%
therefore, Interest (I) = $5000 × 3 × 4 / 100
= $ 600
Answer this for 10 points
Answer:
Equations would be;
30 + 50 + y = 180
and
y = 180 - 80
Additional:
If you are looking for y and u value then here they are:
y = 100°
u = 25°
Hope this helps!
PLEASE HELP THIS IS VERY IMPORTANT I'LL GIVE YOU BRAIN THING IF ITS CORRECT!! <3 NO LINKS PLEASEE.
Answer:
a is 23 1/24 or 553/24 and b is 109 43/87
Step-by-step explanation:
A large soup pot holds 10 gallons of soup. Jared has quarts of chicken broth. How many quarts of chicken broth will he need to fill the soup pot
Answer:
40 quarts
Step-by-step explanation:
1 gallon=4
4•10=40
A large hotel has 347 rooms. There are 7 floors, and each
floor has about the same number of rooms. About how many
rooms are on a floor?
Answer:
About 50 rooms on each floor because
Step-by-step explanation:
347÷7÷49
I rounded it up because the numbers kept going xD
Sam and you are going to paint your room together.
Sam takes 10 minutes to paint 25 square feet.
It takes you 5 minutes to paint 25 square feet.
Sam says, "If we paint together, then it will take 15
minutes for us to cover 50 square feet."
Give an explanation to convince Sam that she is
incorrect
Answer:
It takes you together 6.67 minutes to paint 50 square feet, as you have to consider that the together rate is the sum of the separate rates.
Step-by-step explanation:
The together rate is the sum of the separate rates.
In this question:
Sam's rate is 1/10 for 25 square feet, so 1/20 for 50 square feet.
Your's rate is 1/5 for 25 square feet, so 1/10 for 50 square feet.
Together rate:
[tex]\frac{1}{x} = \frac{1}{20} + \frac{1}{10}[/tex]
[tex]\frac{1}{x} = \frac{1}{20} + \frac{2}{20}[/tex]
[tex]\frac{1}{x} = \frac{3}{20}[/tex]
[tex]3x = 20[/tex]
[tex]x = \frac{20}{3} = 6.67[/tex]
It takes you together 6.67 minutes to paint 50 square feet, as you have to consider that the together rate is the sum of the separate rates.
A woman drives her car 180 miles in 3 hours. At this rate how far will she travel in 5 hours?
Answer:
288
Step-by-step explanation:
you would do 180 devided by 3 then multiply that number by 5
fasting for Amazon on the natural
What??????????????????
add 10 to z, then double the result
Do not simplify any part of the expression.
2(z+10)
2z+20
Answer:
2z+20
how far away from his house was tyrone after 16 minutes
Answer:
100000km
Step-by-step explanation:
first what js does menabsif tryskok
Answer:
well I can help you if I can get some more infomation
like whos him? weres his house how long is the distance between them?
x + 2.5 = 10
PLEASE ANSWER IMMEDIATELY!
Answer:
7.5
Step-by-step explanation:
x + 2.5 = 10
- 2.5 = - 2.5
x = 7.5
Find the next three terms of the arithmetic sequence 5, 11, 17, 23,...
29, 34,38
O 25,31,37
O 28, 33,38
O 29, 35, 41
Answer:
29, 35, 41
Step-by-step explanation:
The difference is always 6
Chapter 4 Exam: Dimensional Analysis
question 10 of 10
10.)
A recycling company makes $500 per ton of aluminum scrap collected. If the company collects 200 pounds of aluminum scrap per day, how
many days are needed to make $2500? (Tip: One ton equals 2000 pounds).
Answer:
50 days are needed to make $2500.
Step-by-step explanation:
Number of tons per day:
One ton equals 2000 pounds, as the problem states as a hint.
The company collects 200 pounds per day.
1 ton - 2000 pounds
x tons - 200 pounds
2000x = 200
x = 200/2000
x = 0.1
0.1 tons per day.
A recycling company makes $500 per ton of aluminum scrap collected.
0.1*500 = $50 per day.
How many days are needed to make $2500?
1 day - $50
x days - $2500
50x = 2500
x = 250/5
x = 50
50 days are needed to make $2500.
28÷7×1/4
no links pls
Answer:
1 is the answer
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
first, you divide 28 by 7 and get 4, then multiply 4 by 1 which is 4, finally divide 4 from 4 with is 1
((28/7)*1)/4=1