Answer:
Perimeter of the rectangle = 8 x +4
Length of the rectangle = 12 units.
Step-by-step explanation:
Let the width of the rectangle as 'x' units.
So, length of the rectangle is 2 more than 3 x.
We can set up expression for length as 3 x+2.
Now, perimeter is sum of all side lengths of the rectangle.
So, perimeter = x+x+3 x+2 +3 x+2
Combine like terms,
Perimeter = 8 x+4
Now, it is given perimeter is 36cm
So,
8 x+4=36
Subtract both sides 4
8 x=32
Divide both sides by 8
x=4
So, width of the rectangle =4
Length =3(4) +2=14
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!
if the income tax rate is 4%, determine the amount of income tax paid on income of $20,000.
Answer: $800.
Step-by-step explanation:
To find the income tax of $20,000 simply multiply 20,000 by the decimal of 4%.
20,000 x 0.04 = 800
What is the experimental probability that a coin toss results in two heads showing?
Answer:
you have a 0.25 chance
Step-by-step explanation:
Each coin has a 0.5 so to get two on heads is 0.25 sorry I don't have time for a detailed reason
A music store bought a CD set at a cost of $.10 When the store sold the CD set, the percent markup was %20. Find the selling price.
Answer:
$12
Step-by-step explanation:
$10 is 100% of the price
The selling price is 120% of the price
x= selling price
10 -------------100%
x ----------------120 %
Cross multiplication
10x120 = 100x
1200 = 100x
Divide both sides by 100
12 = x
Selling price = $12
a girl 2.2m tall observes that the angle of elevation of the top of a building 16m away from her is 45° find the height of the building
Answer:
18.2 m = height of the building
Step-by-step explanation:
Let x = the distance from the top of the girl's head to the top of the building
tan 45 = x/16
x = 16 tan 45
x = 16 m
16 + 2.2 = 18.2 m = height of the building
Can 3 over 11/2 and 6 over 11 be a proportion?? Please explain!!! ASAP
Answer:
Yes! these are in the same proportion
Step-by-step explanation:
Lhs = 3 over 11/2 = 3/(11/2)
=>3× (2/11)
=> 6/11
=> Rhs
Find the perimeter of the rectangle below.
5x2 - 6
2x2
What is a reason to include the image of a setting sun in this advertisement? a to provide more color to the advertisement b to make the sale more appealing to shoppers c to add something interesting to the ad d to reinforce the idea that the season is ending
Answer:
The reason is to allow others to explore and have an image to reference to.
Step-by-step explanation:
Answer:
B, to make the ad more appealing
For the Celsius temperature given, determine the corresponding Fahrenheit temperature. Use the formula t℃=(32+1.8t)℉ for any rational number t. what is the answer
Answer:
50°F
Step-by-step explanation:
Given the equivalent celcius and Fahrenheit temperature relation :
t℃=(32+1.8t)℉
t = any rational number :
Taking a rational number, t = 10
The Fahrenheit temperature obtained will be :
t°C = 10
t℃=[32+1.8(10)] ℉
10°°C = (32 + 18)°F
The equivalent Fahrenheit temperature = 50°F
Mar 12, 9:04:40 PM
Find the length of side x in simplest radical form with a rational denominator.
Answer:
x=sqrt(5/2)
Step-by-step explanation:
Question and answer options attached. Please help, thanks!
Answer:
there is no question but i think out of a,b,c and e i think b or c
Step-by-step explanation:
sorry
hi please help i’ll give brainliest please
Answer:
45
Step-by-step explanation:
The answer would be 45
why does noone help me it hurts my feelings
Tasha has foam blocks stored in a box that measures 3 1/4 feet long by 3 feet wide by 1 feet tall. Each foam block is a cube with 1/4 -feet edge length. How many blocks can fit into the box?
A. 156 blocks
B. 312 blocks
C. 624 blocks
D. 2496 blocks
https://brainly.com/question/22292805
Answer:
C. 624 blocksStep-by-step explanation:
The volume of the box:
V = lwhSubstitute values:
V = 3 1/4 × 3 × 1 = 13/4 × 3 = 39/4The volume of each block:
V = 1/4×1/4×1/4 = 1/64Number of blocks that the box can fit:
39/4 ÷ 1/64 = 39/4 × 64 = 39 × 16 = 624Correct choice is C
Step-by-step explanation:
your answer is 624 blocks
While shopping Marcy spent $59. If the amount she spent is 25% of her savings, how much savings did she have before she shopped
Answer:
Savings= $236
Step-by-step explanation:
Giving the following information:
Money spent= $59
Proportion of savings= 25% = 0.25
To calculate the total savings before shopping, we need to use the following formula:
Savings= money spent / proportion of savings
Savings= 59 / 0.25
Savings= $236
can you help me. What is 2x-14
Answer: 2(x-7)
Step-by-step explanation: 2x−14
2x−14
=2(x−7)
Answer:
-8
Step-by-step explanation:
so first start off by doing 2x(-14)
this will get us to our answer -8.
It's pretty easy, try using a calculator to help if needed.
☺️
help ASAP ill mark brainliest. The answers are the 4 other images attached
Answer:
Step-by-step explanation:
The can find this my matching each number of the chart with each diagram
It can't be the first one because the 17-19 isn't on 8, it is on 4
It can't be the second one because the 20-22 isn't on 7, it is on 9
It is the third one because all the number on the chart is matching with the numbers on the diagram
It can't be the fourth one because the 17-19 isn't on 8, it is on 4
Help me please thanks alout
Answer:
6/10
Step-by-step explanation:
6/10 is equal to 3/5 because you can multiply 3/5 times 2. So multiply the numerator(3) times 2, which is 6, then multiply the denominator(5) times 2 as well, which is 10.
Hope this helped!
P.S (in case you don't know the definition of numerator or denominator)
Nominator- the top number of a fraction.
Denominator- the bottom number of a fraction.
Can someone please help me with this find the unit rate of these 2 items cost per item which is these 2 bag of chips set it up please and show work I’ll mark brainliest
Do not factor by grouping. Solve 2(x-2)^1/3=x+2
Step-by-step explanation:
2(x-2)⅓=x+2
so we first cube each side,such that...
(2(x-2))⅓•³=(x+2)³
we get...
2(x-2)=(x+2)³
expanding...
2x-4=x³+6x²+12x+8
grouping....
x³+6x²+12x+8-2x+4=0
solving...
x³+6x²+10x+12=0
now you can use you calculator to solve for the possible values of x
I hope this will help
what is the answer to x - 4 = -2
Answer: x=2
Step-by-step explanation: add 4 to both sides of the equation.
[tex] \sqrt{4. \sqrt{9} } [/tex]
Answer:
[tex]2 \sqrt{3} [/tex]
Step-by-step explanation:
1) Since 3 × 3 is 9, the square root of 9 is 3.
[tex] \sqrt{4 \times 3} [/tex]
2) Simplify 4 × 3 to 12.
[tex] \sqrt{12} [/tex]
3) Simplify
[tex] \sqrt{12} \: \: to \: 2 \sqrt{3} [/tex]
[tex]2 \sqrt{3} [/tex]
When solving for x in a one-variable equation, there can be one solution, no solution, or infinitely many solutions. In complete sentences, explain whether this statement is true or false, and why.
Translate this phrase into an algebraic expression. Eight more than the product of 8 and a number Use the variable n to represent the unknown number.
Answer:
8n + 8
Step-by-step explanation:
We already know that n is the unknown number. Product means multiplying, so you multiply 8 by the unknown number. More than means adding, so you add 8 to the product of 8n.
Calculate the area of these shapes. Answer correct to one decimal place:
Working out is needed
c) 25 X π / 2 ≈ 39.3, d) 16 X π / 4 ≈ 12.6, b) 100 X π / 4 X 3 ≈ 235.6
will mark brainliest and mark 5/5
9514 1404 393
Answer:
AY = 4.8YD = 2.4Step-by-step explanation:
Corresponding sides of the triangles are ...
ΔFUN . . . ΔDAY
UF = 10 . . . AD = 6
FN = 4 . . . DY
NU = 8 . . . YA
Corresponding sides are proportional, so we have ...
DY/4 = AD/UF = 6/10
DY = 4(0.6) = 2.4
and
YA/8 = 6/10
YA = 8(0.6) = 4.8
The side lengths are ...
AY = 4.8, YD = 2.4
Answer:
.
Step-by-step explanation:
How many sides does the thirtieth figure have?
Answer:
8.
Step-by-step explanation:
multiples of 3 for every shape.
Error Analysis - Describe and correct the error a student made when multiplying two
binomials.
(2x + 2) (4x - 1)
8x ² - 2
Answer:
The correct answer is:
Error made: The student multiplied only corresponding terms in each bracket with each other
Correction: Each term in one bracket is to be multiplied with every term in the next bracket
Step-by-step explanation:
The student paired the terms in the brackets into like terms and multiplied the like terms like this:
(2x + 2) × (4x - 1)
collecting like terms: (2x, 4x) (2, -1)
(2x × 4x) (2 × (-1)) = 8x² - 2.
The above is the wrong way of expanding the bracket. The correct way of doing it is as follows:
(2x + 2) (4x - 1)
Each term in one bracket multiplies each term in the second bracket.
= 2x (4x - 1) + 2(4x -1)
= 8x² - 2x + 8x - 2
= 8x² + 6x - 2
Graph the equation y + 4 = .
Answer:
just go to Desmos graphing calculators
Step-by-step explanation:
and that all
A 50.0 gram sample decays to 25 grams in 14.4 seconds. What is its half-life?
Answer:
The half life is 14.4 seconds because the half life is the time it takes for half of a sample to decay.
Hope this helps!
Find the lettered angles in each of the following (see image ).
Sorry for the wobbly drawing.
please show workings.
Answer:
x = 252°, y = 126° , z = 54°
Step-by-step explanation:
( Hopefully I've read the size of the angle 126° correctly )
The central angle x is twice the inscribed angle, that is
x = 2 × 126° = 252°
∠ y = 126° ( angles on the circumference subtended by the same arc )
y and z are adjacent angles and are supplementary , that is
y + z = 180°
126° + z = 180° ( subtract 126° from both sides )
z = 54°