Box A contains 10 pens that are either red or blue in colour. Box B contains 23 pens that are also either red or blue in colour. The number of blue pens in Box B is twice the number of blue pens in Box A while the number of red pens in Box B is thrice the number of red pens in Box A. Write a pair of linear equations using b as the number of blue pens in Box A and r as the number of red pens in Box A.
Answer:
b + r = 10 - - (1)
2r + 3b = 23 - - (2)
Step-by-step explanation:
Number of Blue pens in box A = b
Number of red pens in box A = r
BOX A :
Contains 10 pens that are either red or blue
b + r = 10
BOX B:
Contains 23 pens that are either red or blue ;
Red pens in box B = 2 tines the number of red pens in box A
Blue pens in box B = 3 times the number of blue pens in box A
2r + 3b = 23
The area if a rectangular frame is 32 square inches. The perimeter of the frame is 24 inches. Which shows the correct dimensions of the frame?
Answer:
8 x 4
Step-by-step explanation:
Lets say the length is x and the width is y.
xy = 32
2x + 2y = 24
Rearranging the second equation, we get:
2x = 24 - 2y
/2 /2
x = 12 - y
substitute into the first equation
y(12 - y) = 32
12y - y^2 = 32
-32 -32
-y^2 +12y - 32 = 0
x -1 x -1
y^2 - 12y + 32 = 0
(y - 8)(y - 4) = 0
y = 8 or 4
substitute into x = 12 - y.
x = 12 - 8 = 4
x = 12 -4 = 8
so the correct dimensions are 4 x 8, as either x = 4 and y =8, or x = 8 and y = 4.
Hope I helped!
Simplify (- sqrt x-4)^
Answer:
x-4
Step-by-step explanation:
A negative base raised to an even power equals a positive.
So you're left with sqrt x-4 ^2
Then reduce the index of the radical and the exponent with 2
x-4
Hope this helps
The correct expression will be ( x- 4 ). So option B is right.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The expression will be solved as:-
E = ( - √(x-4))²
The product of two minuses is positive and the product of the same square root numbers will be the number so the equation will become.
E = -√(x-4) x -√(x-4)
E = x - 4
Therefore the correct expression will be ( x- 4 ). So option B is right.
To know more about Expression follow
https://brainly.com/question/723406
#SPJ2
Chris has a total of 360 minutes on his monthly phone plan. If there are thirty
days in a month, which equation can be used to find how many minutes, m.
Chris can use each day?
Answer:
10800
Step-by-step explanation:
so what i was thinking is 360 x 30 so I added that up and.. then I got my answer (so so sorry if its wrong)
885 = 5(x + 19)
what is x?
Answer:
x = 158
Step-by-step explanation:
Given
885 = 5(x + 19) ← divide both sides by 5
177 = x + 19 ( subtract 19 from both sides )
158 = x
Answer: x=158
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Help me out please an thank you
Answer:
Answer is D
Step-by-step explanation:
because its sideways its x = y^2
and because its facing right its positive.
100 pts
Question 6
A grid shows the positions of a subway stop and your house. The subway stop is located at (-2,8)
and your house is located at (-8,0). What is the distance, to the nearest unit, between your house
and the subway stop?
O 15
010
07
0 20
Next >
< Previous
Help me with this pls
Answer:
A & E
Step-by-step explanation:
Researchers are investigating the effectiveness of leg-strength training on cycling performance. A sample of 7 men will be selected to participate in a training program that lasts for one month. Peak power during cycling will be recorded for each man both before training and after training. The mean difference in times will be used to construct a 95 percent confidence interval for the mean difference in the population.When all other things remain the same, which of the following statements about the width of the interval is correct?A) The interval will be narrower if 15 men are used in the sample.B) The interval will be wider if 15 men are used in the sample.C) The interval will be narrower if 5 men are used in the sample.D) The interval will be narrower if the level is increased to 99% confidence.E) The interval will be wider if the level is decreased to 90% confidence.
Answer:
idc
Step-by-step explanation:
Help with this question please.
[tex] {2}^{2} [/tex]
[tex]2 \times 2 = [/tex]
Answer:
it's 16
Step-by-step explanation:
The diagram below shows a banquet hall’s plans to install a new dance floor.
What is the area of the new dance floor in square feet?
Answer:
333 ft squared
Step-by-step explanation:
18 x 18.5 = 333
3 of 3
+ Automatic Zoom +
membership fee and then a per song download rate.
iTones charges $10 per month, and $1 per song
Music Mine charges $7 per month and $1.50 per song.
a) Write an equation for each music provider.
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
iTones charges $10 per month, and $1 per song.
Music Mine charges $7 per month and $1.50 per song.
To calculate the total cost for each option, we need to use the following formulas:
iTones:
Total cost= 10 + 1x
x= number of songs
Music Mine:
Total cost= 7 + 1.5x
x= number of songs
List the sides of the triangle in order from
shortest to longest.
if 20 workers can dig a farm in 240 hours how many workers can dig the same farm in 60 hours
Answer:
5 workers
Step-by-step explanation:
Find how many hours 1 worker can dig 240 / 20 = 12
60 hours / 12 hours = 5 workers.
It takes 5 workers to dig for 60 hours when 20 workers dig for 240 hours.
Answer:5 workers
240/20=12
Step-by-step explanation:
Evelyn answered 42 questions correctly on her multiple choice history final and earned a grade of 21%. How many total questions were on the final exam?
Answer:
200 questions
Step-by-step explanation:
Given data
Let the total questions be x
so that
21% of x= 42 questions
let us solve for x
21/100*x= 42
0.21*x= 42
0.21x= 42
Divide both sides by 0.21
x= 42/0.21
x= 200 questions
Hence the questions are 200 questions
You are making a scale model of your house. Your bedroom is 10'x8'. In your scale model, it will be the longer side of the bedroom will be 3 inches. How big will the shorter side be?
Answer:
2.4 inches
Step-by-step explanation:
Actual Dimension of bedroom = 10' * 8'
In the model ; longer side = 3 inches
Length of shorter side in the model ;
Longer side of actual bedroom = 10'
Scale factor * length = model length
Scale factor * 10 = 3
Scale factor = 3/10
Hence, length of shorter side :
Scale factor * actual length of shorter side
3/10 * 8
24 / 10
= 2.4 inches
Some one please help me thx
Answer:
boink oink
roses and red,
i am a stoner,
i peed on my face,
becuase i have
a bo ner
Step-by-step explanation:
PLZ HELP ME ITS ALMOST DUE
800(1.0097) to the 4th power
Answer:
831.494559636
Step-by-step explanation:
Hope This Help!!
Please Mark Me Brainly!!
Using the figure below write an algebraic equation that represents relationship of the area as a product equal to the area as a sum. PLEASE I NEED HELPP
Answer:
3x^2+5x-2=0
Step-by-step explanation:
3x*x -x+6x-2
=3x^2+5x-2
Hope it helps :)
Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio. A (-5, 12) B (11, 0) 1 :3
Answer:
(7, 3)
Step-by-step explanation:
Using the midpoint formula
M(X, Y) = {(ax1+bx2/a+b), ay1+by2/a+b}
X = ax1+bx2/a+b
X = -5(1)+3(11)/1+3
X = -5+33/4
X = 28/4
X = 7
Y = ay1+by2/a+b
Y = 1(12)+3(0)/1+3
Y = 12/4
Y = 3
Hence the coordinate of P is at (7, 3)
During a scuba dive, Lainey descended to a point 18 feet below the ocean surface. She continued her descent at a rate of 25 feet per minute. Write an inequality you could solve to find the number of minutes she can continue to descend if she does not want to reach a point more than 143 feet below the ocean surface. Use the variable t for time.
Answer:
Inequality representation :
18 + 25t ≤ 143 ;
t = 5
Step-by-step explanation:
Given that:
Initial dive, I = 18 feets
Descent rate, r = 25 feets / minute
Maximum depth reached = 143 feets
Time = t
Inequality representation :
18 + 25t ≤ 143
To solve for t
25t ≤ 143 - 18
25t ≤ 125
Divide both sides by 25
25t / 25 ≤ 125 / 25
t ≤ 5
Find what x is giving brainly.
What do i do please help!
Answer:
Step-by-step explanation:
this is confusing b/c they are asking about two trains traveling at differnt speeds, but.. if you put the speeds together and make one train... imaginary.. ofc... traveling at the speed of both trains combined... when will it be 50 miles from the station?
maybe you can solve that? I'll solve it below.. but.. if you can.. try it now, on your own
below is my answer... don't look until you have solved yours :P
80+70= 150kph
when will this have traveled 50Km?
you may be able to see that it will take 1/3 of an hour to travel 50 km
so 60 minutes times 1/3 = 20 minutes :)
Which of the following is true regarding the solutions to the logarithmic equation below?
Answer:
3rd option x = 6 is a true solution
Help me again??????????????
Answer:
Part A is no because after subtracting it is 6/10 and 6/10 is not equal to 1/2
Step-by-step explanation:
First you make the fraction's denominator equal
2/5 = 4/10
Camen's water bottle is 1 8/10
Jorge's water bottle is 2 4/10
1/2 = 5/10
Make the fractions into a improper fraction
Camen's is 18/10
Jorge's is 24/10
subtract it
24 - 18 = 6
So Part A is no because after subtracting it is 6/10 and 6/10 is not equal to 1/2
HELP PLZ
WILL GIVE BRIANLIEST TO BEST ANSWER
Didyhostic
Analytics
Recommendations
Skill plans
Algebra 26.2 Micipoint formula: find the midpoint tot
Math
Language arts
Learn with an example
(9,7) and K(5, 3) are the endpoints of a line segment. What is the midpoint M of that line
segment?
Write the coordinates as decimals or integers.
M=
Answer:
Step-by-step explanation:
The midpoint of any line segment is the average of the coordinates of the endpoints.
mp=((x2+x1)/2, (y2+y1)/2), in this case we have points (9,7) and (5,3) so
mp=((9+5)/2, (7+3)/2)
mp=(7,5) (x=7 and y=5)
Write the number as hundredths in fraction form and decimal form.
2/10
Find the sum of first term of the sequence 1,2,4,8,12
Answer:
The right solution is "18". A further explanation is given below.
Step-by-step explanation:
The given series is:
1,2,4,8,12
Here,
First term,
a₁ = 1
Second term,
a₂ = 2
Last term,
n = 12
Now,
The sum of the sequence will be:
⇒ [tex]S_n = \frac{n ( a 1 + a 2 ) }{2}[/tex]
On substituting the values, we get
⇒ [tex]=\frac{12(1+2)}{2}[/tex]
⇒ [tex]=\frac{12\times 3}{2}[/tex]
⇒ [tex]=\frac{36}{2}[/tex]
⇒ [tex]=18[/tex]