Answer:
x = 17/18
Step-by-step explanation:
-5(7-8x) -7x = -(3x+1)
-35 + 40x - 7x = -3x - 1
-35 + 33x = -3x - 1
33x + 3x = -1 + 35
36x = 34
x = 34/36
x = 17/18
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!
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 :)
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.
calculate the size of angle AEF
Answer:
Accuate Angel 230 digre
Answer:
90 degrees
Step-by-step explanation:
The sum of the measures of interior angles in a quadrilateral is 360 degrees. A quadrilateral is any shape that has 4 sides. ABCD is a square, and squares have 4 sides, so the sum of the angles inside of the square will be equal to 360. A square has 4 angles, each with equal measure, so to find the measure of one angle, divide 360 by 4: 360/4=90. Each angle in a square measures 90 degrees.Triangle DEF is an equilateral. This means that each side is equal, but it also means that each angle will be equal too. The sum of the measure of interior angles in a triangle is 180 degrees, and a triangle has 3 angles, therefore you can find the measure of each angle in an equilateral by dividing 180 by 3: 180/3=60. Each angle in an equilateral triangle measures 60 degrees.The measure of a straight line is always 180 degrees. CDF is a straight line, and it is made up of 3 angles:-Angle CDA
-Angle ADE
-Angle EDF
Since the measure of CDF has to be 180 degrees, the measures of angles CDA, ADE, and EDF must add up to 180.Angle CDA is an angle of a square, so it is equal to 90 degreesAngle EDF is an angle of an equilateral triangle, so it is equal to 60 degrees.The angles must add up to 180, so 90+60+ADE=180You can subtract 90 and 60 from 180 to find the measure of ADE: 180-90-60=30The question tells us that triangle ADE is isosceles. There is a theorem called base angles theorem, and it states that if two sides of a triangle are equal in length, then the two angles opposite from them will be equal in measure. Using this theorem, we can find that the measure of angle ADE is equal to the measure of AED. We already found out that ADE is 30 degrees, so AED is also 30 degrees. But the angle we are looking for is AEF:AEF is made up of angles AED and DEF, so the measures of angles AED+DEF=AEF. DEF is part of the equilateral triangle, so we know it is 60 degrees. We already found that AED is 30 degrees, so add 30 and 60 degrees: 30+60=90. AEF is 90 degrees.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
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!!
Solve for y.
4(y+4)=48
A. 8
B. 11
C. 13
D. 16
Answer:
A
Step-by-step explanation:
4(y+4)=48
4y +16 =48
48-16=4y
32=4y
y=32/4
y=8
Answer:
A. 8
Step-by-step explanation:
4(y+4)=48
(y+4)=48/4
y+4=12
y=12-4
y=8
HOPE THIS HELPS
The Music Express is going to buy music bundles from a company that is going out of business. The company charges different amounts for bundles of pop and rock music:
Cost for each pop music bundle is $1200
Cost for each rock music bundle is $950
One - time fee for rights to the pop music is $300
One - time fee for rights to the rock music is $250.
Write an equation that represents the total cost for pop music bundles. Write another equations to represent the total cost for rock music bundles. Identify the variables in the equations.
Answer:
Rock bundles:
950R+250
pop bundles:
1200P+300
Step-by-step explanation:
R=amount of rock bundles
P=amount of pop bundles
Rock bundles:
950R+250
pop bundles:
1200P+300
Answer:
Pop equation:1200C + 300 = D
Rock equation:950A + 250 = B
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
Find what x is giving brainly.
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
List the sides of the triangle in order from
shortest to longest.
Helpppppppppppppppp plzzzz
Answer:
1. a) x b)1
2. a)x^3 b) 3
3. a) 3x^7 b) 7
Step-by-step explanation:
anyone get this ? will mark brainlest!
solve: x=
Answer:
3
Step-by-step explanation:
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]
Help me with this pls
Answer:
A & E
Step-by-step explanation:
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)
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
Write the number as hundredths in fraction form and decimal form.
2/10
Which of the following is true regarding the solutions to the logarithmic equation below?
Answer:
3rd option x = 6 is a true solution
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
Help with this question please.
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:
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
can someone help me please
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:
James works at a toy store, and he notices that at the end of his first hour 32% of all the toys have been sold. At the end of his second hour, 32% of the toys that were there at the end of the first hour had been sold, and so on. Write a recursive function for what percent of toys, t, are still in the still after n hours have passed.
Assuming he started with 300 toys, and James can go home when there are less than 5 toys left, how many hours will James be working, assuming they check the toy count every hour? If the function only keeps track of how many toys there are while James is working, what does the domain of the function become?
Answer:
Step-by-step explanation:
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.
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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)
