Answer:
first number −8 second number −15
Step-by-step explanation:
n+n−7=−23
Combine like terms.
2n−7=−23
Add 7 to each side and simplify.
2n=−16
Divide each side by two and simplify.
n=−8
Now solve for each number.
n−8−=−8 1st number
n −7 2nd number
-8−7
-15
Step 6. Check. Is −15 seven less than −8?
−8−7−=-15
−15=−15✓
Is their sum −23?
−8+(−15)=−23
−23=−23✓
Step 7. Answer the question.
The numbers are −8 and −15.
The numbers are −8 and −15.
It is given that a number is 7 less than another number and the sum of both numbers is -23.
We have to find the value of both of the numbers.
What is algebra ?
Algebra is the branch that deals with various symbols and the arithmetic operations such as multiplication , division , etc.
As per the question ;
One number is seven less than the other.
Let's assume 1st number is x.
The 2nd number will be x - 7.
Given ;
Sum of both numbers = -23
i.e.,
x + (x −7) = −23
2x−7 = −23
2x = -23 + 7
2x = −16
x = −8
So ;
The numbers will be ;
1st number = −8
and
2nd number = x − 7
= - 8 - 7
= -15
Thus , the numbers are −8 and −15.
To learn more about algebra click here ;
brainly.com/question/26479183
#SPJ2
Plz help (URGENT) The data shows the number of bacteria in a culture after a given number of hours. Based on the data, which is closest to the number of hours it takes the culture to reach 12,000 bacteria? A) 16 hours B) 19 hours C) 22 hours D) 25 hours Hour Bacteria 1 2,215 2 2,235 3 2,360 4 2,680 5 3,075
Answer:
The number of hours it takes the culture to reach 12,000 bacteria is 41 hours.
Step-by-step explanation:
To predict the number of hours it takes to culture a certain number of bacteria form a regression equation of number of hours (y) based on the number of bacteria (x) using the provided data.
The general form of the regression equation is:
[tex]y=a+bx[/tex]
Compute the values of a and b as follows:
[tex]a=\frac{\sum Y\cdot\sum X^{2}-\sum X\cdot\sum XY}{n\cdot \sum X^{2}-(\sum X)^{2}}=\frac{15\cdot 32109075 - 12565\cdot 39860}{5\cdot 32109075-(12565)^{2}}=-7.203\\\\b=\frac{n\cdot \sum XY-\sum X\cdot\sum Y}{n\cdot \sum X^{2}-(\sum X)^{2}}=\frac{5\cdot 39860- 12565\cdot 15}{5\cdot 32109075-(12565)^{2}}=0.004[/tex]
*Use the Excel data sheet attached.
The regression equation of number of hours based on the number of bacteria is:
[tex]y=-7.203+0.004x[/tex]
Compute the number of hours it takes the culture to reach 12,000 bacteria as follows:
[tex]y=-7.203+0.004x[/tex]
[tex]=-7.203+(0.004\times 12000)\\=-7.203+48\\=40.797\\\approx 41[/tex]
Thus, the number of hours it takes the culture to reach 12,000 bacteria is 41 hours.
Rationalize the denominator of sqrt32/(sqrt16-sqrt2). The answer can be written as )AsqrtB+C)/D, where A, B, C, and D are integers, D is positive, and B is not divisible by the square of any prime. Find the minimum possible value of A+B+C+D.
Answer:
Step-by-step explanation:
[tex]\frac{\sqrt{32} }{\sqrt{16} - \sqrt{2} } = \frac{4\sqrt{2} }{4 - \sqrt{2} } ----------------- (1)[/tex]
It says it can be written in the form of
[tex]\frac{A\sqrt{B} + C }{D}[/tex]
where A, B, C and D are integers, D is positive and B is not divisible by square of any prime
Rationalize equation 1:
[tex]\frac{4\sqrt{2} }{4 - \sqrt{2} } X \frac{4 + \sqrt{2} }{4 + \sqrt{2}}[/tex]
in denominator, use (a + b)(a - b) = [tex]a^{2} - b^{2}[/tex]
After multiplying numerator and denominator you should get
[tex]\frac{16\sqrt{2} + 8}{14}[/tex]
this is in the form
[tex]\frac{A\sqrt{B} + C }{D}[/tex]
where A = 16, B = 2, C = 8, and D = 14
hope this helps you ^^
write each statement as a decimal to two decimal places. (i)$6.00 to 95 cents (ii) 3 hours to 35 minutes (iii) 42 inches to 2 feet
Answer:
The answer is below
Step-by-step explanation:
1) $6.00 to 95 cents
$1 = 100 cents
[tex]\$6.00=\$6.00*\frac{100\ cent}{\$} =600\ cent\\\\\$6\ to\ 95\ cent=\frac{\$6}{95\ cent} = \frac{600\ cent}{95\ cent} = 6.32\ to\ 2\ decimal\ places[/tex]
2) 3 hours to 35 minutes
1 hour = 60 minutes
[tex]3\ hr=3\ hr*\frac{60\ minute}{1\ hr} =180\ minte\\\\3\ hr\ to\ 35\ minute=\frac{3\ hr}{35\ minute} = \frac{180\ minute}{35\ minute} = 5.14\ to\ 2\ decimal\ places[/tex]
3) 42 inches to 2 feet
1 inches = 0.0833 ft
[tex]42\ inch=42\ inch*\frac{0.0833\ feet}{1\ inch} =3.5\ feet\\\\42\ inch\ to\ 2\ feet=\frac{42\ inch}{2\ feet} = \frac{3.5\ feet}{2\ feet} = 1.75\ to\ 2\ decimal\ places[/tex]
The cost in dollars of making x items is given by the function C(x)=10x+800. a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item. Fixed cost =$ Number b. What is the cost of making 25 items? C(25)=$ Number c. Suppose the maximum cost allowed is $2300. What are the domain and range of the cost function, C(x)? When you enter a number in your answer, do not enter any commas in that number. In other words if you want to enter one thousand, then type in 1000 and not 1,000. It's not possible to understand what the interval (1,000,2,000) means, so you should write that as (1000,2000). Domain: Preview Range: Preview
Answer:
a). Fixed cost = $800
b). The cost for 25 items is $1050
c).Range = 150
Domain g(x) = 150
Step-by-step explanation:
The cost in dollars of making x item is given by the function C(x)=10x+800.
The fixed cost is when x= 0
Fixed cost
C(0)= 10(0) +800
C(0) = 0+800
C(0)= 800
Fixed cost = $800
The cost for 25 items
C(25) = 10(25)+800
C(25) = 250+800
C(25) = 1050
The cost for 25 items is $1050
If Maximum cost=$2300
C(x)=10(x) +800= 2300
Range of x
10(x) = 2300-800
10(x) = 1500
X= 1500/10
X= 150
Range = 150
Domain g(x) = 150
Imagine that Amy counted 60 numbers per minute and continued to count nonstop until she reached 19,000. Determine a reasonable estimate of the number of hours it would take Amy to complete the counting It will take Amy approximately hours to count to 19,000. (Type a whole number)
Answer:
It will take ≈5 hours (5.278)
Step-by-step explanation:
First we need to find how many number she counts in one hour. We know she counts 60 every one minute and there are 60 minutes in an hour. 60x60=3600
Now we divide 19,000 by 3600 to find how many hours it will take
19000/3600=5.278
It will take ≈5 hours (5.278)
What is -1 ⅓ × -⅖
Please explain your answer and show your work.
Answer:
[tex]\frac{8}{15}[/tex]
Step-by-step explanation:
Change the mixed number into an improper fraction: -1 × 3 = -3, -3 + 1 = -2. Put -2 over 3: [tex]\frac{-2}{3}[/tex] Multiply -2/3 and -2/5: [tex]\frac{-2}{3}[/tex] × [tex]-\frac{2}{5}[/tex] = [tex]\frac{8}{15}[/tex]Therefore, the answer is [tex]\frac{8}{15}[/tex].
Write the mixed number as a decimal. 1 5/8
Answer:
1.625
Step-by-step explanation:
The decimal of 5/8 is 0.625.
We can then add 1 to it, since it is a whole number
Therefore, we have 1 + 0.625 = 1.625
Answer:
[tex] \boxed{ \bold{ \huge{\boxed{ \sf{1.625}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{1 \frac{5}{8} }[/tex]
Convert the mixed number to an improper fraction
⇒[tex] \sf{ \frac{8\times 1 + 5}{8} }[/tex]
⇒[tex] \sf{ \frac{8 + 5}{8} }[/tex]
⇒[tex] \sf{ \frac{13}{8} }[/tex]
Divide 13 by 8
⇒[tex] \sf{1.625}[/tex]
Hope I helped!
Best regards! :D
Help me please! These are due today.
Answer:
[tex] {x}^{2} + 3x[/tex]
Step-by-step explanation:
1.
Area of shaded region = Area of external rectangle - Area of internal rectangle
[tex] = 4x(x + 2) - x(3x + 5) \\ = 4 {x}^{2} + 8x - 3 {x}^{2} - 5x \\ = 4 {x}^{2} - 3 {x}^{2} + 8x - 5x \\ = {x}^{2} + 3x \\ [/tex]
2.
Let the width of the rectangle be x inches.
Therefore, length of the rectangle = (x + 3) inches
A.
Area of rectangle
[tex] =(x + 3)\times x\\
=x^2 + 3x\\[/tex]
B.
Width of rectangle = 4 inches
Length of rectangle = 4 + 3 = 7 inches
Area of rectangle = 7*4 = 28 square inches.
Probability & Statistics: The Quarantine Puzzle D You are stuck at home watching people walk down the street. Assuming half the people are wearing black shoes, 1/3 are wearing white shoes and 1/6 are wearing red shoes. What is the probability that you will see a person wearing black shoes before you see a person wearing white ones? a) 3/5 b) 1/2 c) 2/5 d) 2/3
Answer:
i think its a
Step-by-step explanation:
its A
Answer:A
Step-by-step explanation:
Table A shows the Fahrenheit temperatures for select Celsius temperatures. Table B shows the Celsius temperatures for select Fahrenheit temperatures. Table A C -10. 0 .10 .20 .30 F 14. 32. 50. 68. 86 Table B F .14 .32 .50 .68 .86 C.-10. 0. 10. 20. 30 The tables show that the two functions are ✔ inverses because the ordered pair (x, y) for one function is the ordered pair ✔ (y, x) for the other function.
Answer:
✔ inverses
✔ (y, x)
Step-by-step explanation:
The tables show that the two functions are inverses because the ordered pair (x, y) for one function is the ordered pair (y, x) for the other function.
How do you know if functions are inverses?Permit f be a characteristic. If any horizontal line intersects the graph of f more than as soon as, then f does now not have an inverse. If no horizontal line intersects the graph of f extra than once, then f does have an inverse.
Does every function have an inverse?No longer do all capabilities have inverses. people who do are known as "inverse." learn the way we can tell whether or not a function is inverse or now not. Inverse functions, inside the maximum preferred sense, are features that "reverse" every difference.
Learn more about Inverse functions here: brainly.com/question/14796161
#SPJ2
Jocelyn walks her dog 5 days each week. Each walk is 24 miles long.
What is the total number of miles that jocelyn walks her dog each week? Move a number or a symbol to each blank to make the equation. If
there is no whole number, put a 0 in the first box after the equals sign.
II
0
Answer:
Total distance covered each week is [tex]11\frac{1}{4}\ miles[/tex]
Step-by-step explanation:
Given
Days = 5 days
Distance = [tex]2\frac{1}{4}[/tex] miles
Required
Determine the total distance covered in a week
To do this, we simply multiply distance by number of days.
[tex]Total\ distance = distance * days[/tex]
[tex]Total\ distance = 2\frac{1}{4} * 5[/tex]
Convert to improper fraction
[tex]Total\ distance = \frac{9}{4} * 5[/tex]
[tex]Total\ distance = \frac{9 * 5}{4}[/tex]
[tex]Total\ distance = \frac{45}{4}[/tex]
[tex]Total\ distance = 11\frac{1}{4}[/tex]
Hence, the total distance covered each week is [tex]11\frac{1}{4}\ miles[/tex]
Answer:
the answer is a
Step-by-step explanation:
1 step -a
2- a
∈∉Now write the numbers 1 through 10 using exactly four 4s.
Value
Expression using four 4s
1
I
2
3
4
5
6
7
8
9
10
Answer:
Step-by-step explanation:
This is an algebraic question type where we express the identity of each number using exactly four 4s method order of operation.
So, Expression using four 4s.
1 = (4 ÷ 4) ÷ (4 ÷ 4)
2 = ( 4 ÷ 4 ) + ( 4 ÷ 4)
3 = ( 4 + 4 + 4 ) ÷ 4
4 = 4 + 4 ( 4 - 4 )
5 = ((4 × 4) +4) ÷ 4
6 = 4 +( (4+4) ÷ 4)
7 = (4+4) - ( 4 ÷ 4 )
8 = (4 × 4) - 4 - 4
9 = 4 + 4 + ( 4 ÷ 4)
10 = ( 44 - 4 ) ÷ 4
Answer:
1 = (4÷4) + (4-4)
2= (4-4)+(4-
√4)
3= (4+4+4)÷4
4= (√4+√4)+(4 - 4)
5= (4+√4)-(4÷4)
6= (4-4)+(4+√4)
7= (4+4)+(4÷4)
8= (4*√4)-(4 - 4)
9= (4+4)+(4÷4)
10=(4 -√4)+(4*√4)
Step-by-step explanation:
The
√4 = 2 and that helps to most of the equations
what number should be added to -79 to get a sum of -59
Answer:
Let x be the unknown no.
Now,
[tex]x + ( - 79) = - 59 \\ ⟶ x = - 59 + 79 \\ ⟶ x = 20[/tex]
.°. x= 20
Hence, 20 should be added to -79 to get -59
Step-by-step explanation:
[tex]\huge\underline\bold\blue{ƛƝƧƜЄƦ}[/tex]
[tex]\huge\underline\bold\red{Given}[/tex]
Let the number be x
Acc to question.
[tex]\rightarrow[/tex]x+(-59) = -79
[tex]\rightarrow[/tex]x. = -79 + 59
[tex]\rightarrow[/tex]x. = 20
[tex]\huge\boxed{x = 20}[/tex]
Hope it helps
# verified
Solve the equation 0.3 = -15z.
Answer:
z = - 0.02
Step-by-step explanation:
0.3 = -15z
0.3 / -15 = z
-0.02 = z
Answer:
Z= - 0.02
Step-by-step explanation:
0.3=-15 *Z
Z= 0.3 / - 15
Z= - 0.02
O
A store had received a supply of 8
dozen calculators and sold them for
$9.99 each. if the store sold all but 2
dozen of the calculators, approximately how
much money did it make?
Answer:
1 dozen = 12 calculators
8 dozen = 12 * 8 = 96 calculators
2 dozen = 12 * 2 = 24 calculators
96 - 24 = 72 calculators
*each was sold for $9.99 so:
72 * $9.99 = $719.28 which rounds to $719
hope this is correct.
Alguien que me pueda ayudar? jeje
Answer:
21 ÷7 =3
3 x 4 =12
aye 12 globos azules
2x-10+x+x =180 find the value of x
Answer: 47.5
Step-by-step explanation:
Given
2x-10+x+x=180
combine like term x
4x-10=180
addition property of equality (add 10 on both sides)
4x=190
division property (divide 4 on both sides)
x=47.5
Hope this helps!! :)
Please let me know if you have any question or need any further explanation
Answer:
your answer will be 47.5
What is the sum of the sixth terms of the geometric series 2-6+18-54+
Answer: 122
Step-by-step explanation:
Since it is a geometric sequence, lets see the pattern below:
-6÷2=-318÷-6=-3-54÷18=-3From this, we can see that we multiply each number by -3 to get the next number.
Before we find the sum, we first find the next number.
-54×-3=162
So the whole sequence will be: 2, -6, 18, -54, 162
Find the sum
2+(-6)+18+(-54)+162
=2-6+18-54+162
=-4-36+162
=-40+162
=122
Hope this helps!! :)
Please let me know if you have any question
Upon descent, at airplane is 15000 feet above the ground. The air traffic control tower is 250 feet tall. The angle of elevation from the top of the tower to the plane is 16°. Find the ground distance from the airplane to the tower. Round to the nearest foot.
Answer: 51,349 feet
Step-by-step explanation:
[tex]\tan \theta=\dfrac{opposite}{adjacent}\\\\\\\tan 16^o=\dfrac{14750}{x}\\\\\\.\qquad x=\dfrac{14750}{\tan 16^o}\\\\\\.\qquad x=\large\boxed{51439}[/tex]
Si yo tengo una canasta llena de mangos y piñas, de las cuales hay 30
mangos y 20 piñas ¿Qué fruta es más probable que saque al azar de la
canasta?
Respuesta: Es más probable sacar un mango.
Explicación:
La probabilidad se refiere a la posibilidad de que un evento occura y no otro. En el caso que se describe, la probabilidad de sacar cada fruta puede ser calculada dividiendo el total de cada fruta en el número de frutas totales:
Probabilidad de sacar un mango:
[tex]\frac{cantidad de mangos}{cantidad de frutas en la canasta}[/tex] = [tex]\frac{30}{50}[/tex] =[tex]0.6[/tex]
Probabilidad de sacar una piña:
[tex]\frac{cantidad de pinas}{cantidad de frutas en la canasta} = \frac{20}{50}[/tex] [tex]= 0.4[/tex]
De acuerdo a lo anterior la probabilidad de sacar un mango es de 0.6 o de 60% (multiplica la probabilidad por 100 para saber su equivalente en porcentaje), mientras que la probabilidad de sacar un mango es de 0.4 o 40% lo cual es mucho más bajo. Es decir que es más probable sacar un mango.
State all possible names for the figure
Answer: C. quadrilateral
Step-by-step explanation:
Trapezoid means one side must be parallel, which does not exist in the image so A & D are ruled out.
Parallelogram means opposite sides are parallel which does not exist in this image so B is ruled out.
Quadrilateral means that the object contains 4 sides, which the image does so the answer is C.
which is greater, 3 over 4 or 11 over 16
Answer: 3/4 is greater
Step-by-step explanation:
3/4 and 11/16
#1 change to same denominator
the LCM (least common multiple) of 4 and 16 is 16
12/16 and 11/16
#2 compare numerator
12 > 11
this means 12/16>11/16
12/16=3/4, 3/4 is greater
Ryan must read 150 pages for school tomorrow.
It took him 30 minutes to read the first 20 of
the assigned pages. At this rate, how much
additional time will it take him to finish
the reading?
Ryan has 130 pages left to read (150 − 20).
He read 20 pages in 30 minutes, which means he read at a rate of 40 pages per 1 hour.
To find out how much longer it will take him to finish the assignment, divide the total number of pages remaining (130) by the number of pages he is able to read per hour (40):
[tex]\frac{130}{40}= 3\frac{1}{4}[/tex]_________Ryan spent 30 minutes reading, so he will need 225 - 30 = 195 minutes to finish reading.
Here's the solution:
If it took Ryan 30 minutes to read 20 pages, then it will take him 30/20 = 1.5 minutes to read 1 page.
To read 150 pages, it will take him 1.5 × 150 = 225 minutes.
He already spent 30 minutes reading, so he will need 225 - 30 = 195 minutes to finish reading.
So the answer is 195
Learn more about reading here: brainly.com/question/33472628
#SPJ2
Find the square. (4x – 6y3)2
Answer:
16x^2 -48xy^3 +36y^6
Step-by-step explanation:
Use FOIL or the distributive property or the form of the square of a binomial to expand the square.
(4x -6y^3)(4x -6y^3) = 4x(4x -6y^3) -6y^3(4x -6y^3)
= (4x)^2 -(4x)(6y^3) -(6y^3)(4x) +(6y^3)^2
= 16x^2 -48xy^3 +36y^6
_____
The form referred to above is ...
(a +b)^2 = a^2 +2ab +b^2
Otto spent Three-fourths of the money he had saved on a new video game. If the video game cost $48, how much money did he have before he bought the game?
Answer: $64
Step-by-step explanation:
Let x be the amount of money he had before buying the video game
Given, 3/4 of x = 48
By cross-multiplying,
x = 64
Answer:
64
Step-by-step explanation: edge 2020
chef johnson used 4/12 cups of flour to make 4 fruitcakes . how many cups of flour are needed for 1 fruitcake
Answer:
1/12
Step-by-step explanation:
4 fruitcakes=4/12 cups of flour
I fruitcake =x cups of flour
4x=4/12
48x=4
x=4/48
x=1/12
lina packs 3 inch cups into boxes measuring 12 inches by 15 inches. How many cups fit in one box
20 cups
4 rows of 5 containing the 3 inch cups and 5 columns of 4 containing the 3 inch cups
Hey There!! ~
The answer to this is: 60 cups. Because, First you need to find the area of the box which would be
12in x 15in =180in
The second step would be to divide the area of the box by how tall the cups are .
180/3 = 60
Hope It Helped!~
[tex]ItsNobody[/tex]~ (`~*>.^UwU^.<`~*)
A diver descended at a rate of 18 feet per second. What was her depth after one minute?
Answer:
1,080 ft
Step-by-step explanation:
Rate of descending or travel (r) = 18 ft per second.
The depth or distance traveled/descended (d) after 1 minute can be calculated as follows:
[tex] d = r*t [/tex]
r = 18ft/sec
t = 1 min = 60 secs
[tex] d = \frac{18 ft}{1 sec}*60secs [/tex]
[tex] d = 18ft*60 [/tex]
[tex] d = 1,080 ft [/tex]
HELP ASAP ROCKY!!! will get branliest.
Answer:
x = -7
Step-by-step explanation:
4 ( 2x+14) =0
Divide by 4
2x+14 = 0
Subtract 14 from each side
2x = -14
Divide by 2
2x/2 = -14/2
x = -7
Answer:
x = -7
Step-by-step explanation:
Apply the distributed property by multiplying 2x by 4 and 14 by 4, and then adding them together, so it now looks like this: 8x + 56 = 0Subtract 56 from each side of the equation, so it now looks like this: 8x = -56Divide each side by 8 to cancel out the 8 next to x. It should now look like this: x = -7Therefore, x is equals -7.
Which of the following is a function?
A. (-2,0),(6,-3),(6,22),(10,96)
B. (-2,0),(10,-3),(6,22),(10,96)
C. (-2,0),(1,-3),(6,22),(10,96)
D. (-2,0),(1,-3),(6,22),(1,96)
Answer: C
Step-by-step explanation:
In order to be a function, you canNOT have any duplicate x's.
A) x = -2, 6, 6, 10 --> 6 is used twice so it is not a function
B) x = -2, 10, 6, 10 --> 10 is used twice so it is not a function
C) x = -2, 1, 6, 10 --> all the x's are different. This is a function!!!
D) x = -2, 1, 6, 1 --> 1 is used twice so it is not a function
Answer:
C
Step-by-step explanation:
Relationship between independent variable and dependent variable: each x corresponds to only one y, but y can each correspond to multiple x (which is why there are multiple solutions of an equation, and a solution can only launch a counter-argument )
A, 6 -> - 3,22.6 (x) corresponding to the two y. C options and only one for each of x y.