Answer:
90 cm
Step-by-step explanation:
Given that :
Perimeter of a rectangle = 2(Length + Width)
Perimeter of print area = 2(100 + 140) = 480cm
Perimeter of entire poster :
Let uniform width of blank strip = x
x on each of the 4 sides side ;
2(2x + 100 + 2x + 140)
2(4x + 240)
8x + 480
Perimeter of poster = 1 2/3 perimeter of print area
8x + 480 = 5/2(480)
8x + 480 = 1200
8x = 1200 - 480
8x = 720
x =. 720 / 8
x = 90 cm
An engineer is using computer-aided design (CAD) software to design a component for a space shuttle. The scale of the drawing is 1 cm : 60 in. The actual length of the component is 12.75 feet. What is the length of the component in the drawing?
============================================================
Work Shown
1 foot = 12 inches
12.75 ft = 12.75*12 inches = 153 inches
The scale of 1 cm : 60 in allows us to form the proportion below
(1 cm)/(60 in) = (x cm)/(153 in)
1/60 = x/153
1*153 = 60*x ..... cross multiply
153 = 60x
60x = 153
x = 153/60
x = 2.55
The length of the component in the drawing is 2.55 cm
Side note: This is equivalent to 25.5 mm since 1 cm = 10 mm (ie you multiply by 10 to go from cm to mm).
When you flip a biased coin the probability of getting a tail is 0.43. Find the probability of getting a head.
Answer:
P (getting a head is) = 0.57.
Step-by-step explanation:
The maximum for a probability is 1.
We know that a coin has only 2 sides, either head or tail.
The probability of getting a tail is 0.43 (given).
So, the probability of getting a head is = 1.00 - 0.43 = 0.57.
Which phrase correctly represents the algebraic expression for 22-n?
A.) A number decreased by twenty-two
B.) The total of twenty two and a number
C.) The difference of two and a number
C.)Twenty-two decreased by a number
Answer:
D
Step-by-step explanation:
Can someone help please
Answer:
YES
Step-by-step explanation:
There are 1200 students at silver lake middle school 700 Are eighth graders what percent of the students are in the eighth grade round to the nearest 10th of a percent
A map has the scale 1cm:40mi. What is the distance between two towns that are 3.3cm apart on the map?
Answer:
132 miles
Step-by-step explanation:
Given data
scale 1cm:40mi.
this means that
1 cm on the map is equal to 40 miles on
Hence if 1cm rep 40 miles
3.3cm will rep x
cross multiply
x= 3.3*40
x=132 miles
Which line represents the direct variation equation y= 1/2x?
line a
line d
line c
line b
Answer:
Answer Expert Verified y = (slope) x + (y-intercept) . Right away, you know that this line goes through the origin ...
3 (2x+8) = 60 x=____
Answer:
x=4/9
Step-by-step explanation:
3(2x+8)=60x
6x+24=60x
6x+24-24=60x-24 -60x
-54x=-24
-54x= -24
x= 4/9
HELP
Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
4, 20, 100
Answer:
Step-by-step explanation:
a₂ - a₁ = 20 - 4 = 16
a₃ - a₂ = 100 - 16 = 84
Since a₂ - a₁ ≠ a₃ - a₂, the sequence is not arithmetic.
a₂/a₁ = 20/4 = 5
a₃/a₂ = 100/20 = 5
Since a₂/a₁ = a₃/a₂ = 5, the sequence is geometric with a common ratio of 5.
The base of a triangular tent has angles of 45 degrees and 75 degrees. What is the measurement of the third angle?
A. 45
B. 75
C. 180
D. 60
Answer:i think its 180
Step-by-step explanation:
BRAINLIEST AND 10 POINTS
When the Justices of the Supreme Court assemble to go on the Bench each day, each Justice shakes hands with each of the other Justices for a total of 36 handshakes.The total number of handshakes (h) possible for n people is given by the formula below. Write and solve an equation to determine the number of Justices on the Supreme Court.
Answer:
use the link but its answer D.
Step-by-step explanation:
If 4 is a root of the quadratic equation
x² - bx - 22 = 0
a. Find the value of b
b. Find the other root
Answer:
Step-by-step explanation:
x²-bx-22=0
put x=4
4²-4b-22=0
16-4b-22=0
-4b-6=0
2b+3=0
b=-3/2
x²-3/2x-22=0
2x²-3x-44=0
2x²-11x+8x-44=0
x(2x-11)-4(2x-11)=0
(2x-11)(x-4)
roots are 11/2,4
The required value of the b is -3/2, and another root of the given equation is -11/2.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given expression,
x² - bx - 22 = 0
As we know 4 is the root of the equation,
put 4 in the given expression,
(4)² -b(4) -22 = 0
16 -4b -22 = 0
b = -3/2
x² + 3/2x - 22 = 0
(x - 4)(x + 3/2) = 0
root are,
x = 4 and -11/2
Thus, the required value of the b is -3/2, and another root of the given equation is -11/2.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
4
2x−11
−
10
(3x−2)
Answer:
NaNx10^-15
Step-by-step explanation:
sorry did not know you wanted it in standard form before
The square of x varies directly as the cube of y. When x = 2, and
y = 4, find y when x = 8.
Answer:
y = 16
Step-by-step explanation:
Describe how k affects the graph of the function f(x)= -3/5(10)^x
Answer:
1437.33
Step-by-step explanation:
Malik starts a job at which his starting salary is
$25,500 per year. He expects that his salary will
increase by a constant dollar amount annually. In
12 years, his salary will be double his starting salary.
Assuming salary increases take place only at the
end of a full year, how many years must Malik wait
until his salary is at least $40,000 annually?
9514 1404 393
Answer:
7 years
Step-by-step explanation:
Malik's salary grows 25,500 in 12 years, so at the rate of ...
$25,500/(12 yr) = $2125/yr
To get his salary up to 40,000, it must grow by ...
40,000 -25,500 = 14,500
To grow that much will take ...
$14,500/($2125/yr) ≈ 6.82 yr
Malik must wait 7 years until his salary is at least $40,000.
_____
At the end of the 7th year, Malik's salary will be raised to ...
$25,500 + 7·2,125 = $40,375
7. Find the measure of each
marted angle
Answer:
X=7 TRY THAT
Step-by-step explanation:
From a train station, one train heads north, and another heads east. Some time later, the northbound train has traveled 27 kilometers, and the eastbound train has traveled 36 kilometers. How far apart are the two trains, measured in a straight line?
Select the correct answer.
Each statement describes a transformation of the graph of y= x. Which statement correctly describes the graph of y= x - 13?
OA. It is the graph of y = x translated 13 units to the left.
OB.
It is the graph of y = x translated 13 units to the right.
OC.
It is the graph of y = x translated 13 units up.
OD. It is the graph of y = x where the slope is decreased by 13.
Answer:
The translation corresponds to a translation of 13 units to the right
Step-by-step explanation:
Translation of a Graph
If the graph of
y=f(x) is translated a units horizontally, then the equation of the translated graph is
y =f(x - a)
The value of a is considered positive for translations to the right.
The parent function is
y = x
and the given function is
y = x - 13
The translation corresponds to a translation of 13 units to the right
what is the appoximate distance between points d and e round your answer to the nearest hundreth
the total surface area of this cuboid is 76cm^2 find the value of x (5cm = width, 4cm= length and x = height)
Answer:
Height x=2
Step-by-step explanation:
area of top & bottom:
(5)(4)(2)=40
area of 2 sides:
(x)(5)(2)=?
area of the other two sides:
(x)(4)(2)=?
total area=76
76=40+10x+8x
simplify:
36=18x
x=2
PLS TELL ME WHAT THE LETTERS ARE FOR BRAINYLEST AWNSER
Answer:
#1 : x= -16.5
#2 : x= 3.6
#3 : x= -75
#4 : x= 10 1/3
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Hope it helps :)
Please mark me brainlist!
if anyone helps me with 1-6 you will get brainliest, 5 stars, and a thank you :D
Answer:
1=1.5
2=.75
3=2.3
4=3.5
5=4
6=.75
Step-by-step explanation:
Answer:
1. 1.5
2 0.75
3 3.3
4 3.5
5 4
6 0.75
Please note that just insert the proper units from the problem.
Step-by-step explanation:
The area ofa rhombus is 240 cm and one of the diagonals is 16 cm. Find
diagona
Answer:
d1=16
1/2×d1×d2=240cm²
1/2×16×d2=240
d2=240/8=30cm
the another diagonal is 30 cm
If 2d + 10 = 50, what does d equal?
Answer:
d = 20
Step-by-step explanation:
2d + 10 = 50 ( subtract 10 from both sides )
2d = 40 ( divide both sides by 2 )
d = 20
Answer:d=20
Step-by-step explanation:
Step 1: Subtract 10 from both sides.
2d+10−10=50−10
2d=40
Step 2: Divide both sides by 2.
2/d=40/2
d=20
Write an equation of a line in slope-intercept form with the given slope and y-intercept.
slope: -4, y-intercept: -1
Answer:
[tex]y = - 4x - 1[/tex]
Step-by-step explanation:
The standard equation for slope intercept form is
[tex]y = mx + b[/tex]
where m is the slope and b is the y intercept.
plug -4 as m and -1 as the y intercept
[tex]y = - 4x - 1[/tex]
A mechanic has sockets with sizes shown below. Write each fraction in the correct box.
Missing Details:
Write each fraction in the correct box.
1/8in, 5/8in, 8/16in, 9/16in, 15/16in, 5/6in
Less than: 1/2inch,
Equal to: 1/2inch
Greater than: 1/2inch
Answer:
Less than: 1/2inch---> 1/8 in
Equal to: 1/2inch ---> 8/16 in
Greater than: 1/2inch ---> 5/8in, 9/16in, 15/16in, 5/6in
Step-by-step explanation:
Given
Sizes: 1/8in, 5/8in, 8/16in, 9/16in, 15/16in, 5/6in
Required
Match the size with the correct inequalities
Convert 1/2in to decimal
[tex]\frac{1}{2}\ in = 0.5\ in[/tex]
Next, we convert each size to decimal and compare the decimal equivalent to 0.5in
Convert 1/8in to decimal
[tex]\frac{1}{8}\ in = 0.125\ in[/tex]
0.125 is less than 0.5in
Convert 5/8in to decimal
[tex]\frac{5}{8}\ in = 0.625\ in[/tex]
0.625 is greater than 0.5in
Convert 8/16in to decimal
[tex]\frac{8}{16}\ in = 0.5\ in[/tex]
0.5 is equal to 0.5in
Convert 9/16in to decimal
[tex]\frac{9}{16}\ in = 0.5625\ in[/tex]
0.5625 is greater than 0.5in
Convert 15/16in to decimal
[tex]\frac{15}{16}\ in = 0.9375\ in[/tex]
0.9375 is greater than 0.5in
Convert 5/6in to decimal
[tex]\frac{5}{6}\ in = 0.833\ in[/tex]
0.833 is greater than 0.5in
So, we have:
Less than: 1/2inch---> 1/8 in
Equal to: 1/2inch ---> 8/16 in
Greater than: 1/2inch ---> 5/8in, 9/16in, 15/16in, 5/6in
PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!A rectangular pyramid has a volume of 216 in³. A rectangular prism has the same height as the rectangular pyramid and a base that is congruent to the base of the rectangular pyramid.
What is the relationship between the volume of the rectangular pyramid and the rectangular prism?
A.The volume of a rectangular prism is 2 times the volume of a rectangular pyramid. The volume of the rectangular prism is 432 in3.
B.The volume of a rectangular prism is 13 the volume of a rectangular pyramid. The volume of the rectangular prism is 72 in3.
C.The volume of a rectangular prism is 12 the volume of a rectangular pyramid. The volume of the rectangular prism is 108 in3.
D.The volume of a rectangular prism is 3 times the volume of a rectangular pyramid. The volume of the rectangular prism is 648 in3.
Answer:
D
Step-by-step explanation:
I took the test.
Answer:
d
Step-by-step explanation:
i dont know
please help me!!!!! I don't know how to do this
Answer:
1. y = 0
2. x = -5
3. x = 10
4. y = -12
(-2x²- 4x + 2) - (-6x + 2)
Answer:
(-2x²- 4x + 2) - (-6x + 2) = -2x²+ 2x
Step-by-step explanation:
(-2x²- 4x + 2) - (-6x + 2)=
= -2x²- 4x + 2 + 6x - 2 =
= -2x²+ 2x