Hello,
Perimeter of a rectangle : 2 * (length + width)
Area of a rectangle : length * width
We know that the perimeter of the rectangle is equal to 10 feet and its area is equal to 6 square feet.
Let's call x the length of the rectangle and y the width of the rectangle. The pair (x ; y) verifies the following system :
2 (x + y) = 10 ⇔ x + y = 5 ⇔ x = 5 - y
x * y = 6 ⇔ (5 - y) * y = 6 ⇔ 5y - y² - 6 = 0 ⇔ y² - 5y + 6 = 0
⇔ y² - 3y - 2y + 6 = 0 ⇔ y(y - 3) - 2(y - 3) = 0 ⇔ (y - 2)(y - 3) = 0
⇔ y = 2 ou y = 3
x = 5 - y ⇔ x = 5 - 2 or x = 3 - 2 ⇔ x = 3 or y = 2
S = {(3 ; 2) ; (2 ; 3)}
The width of the rectangle is 2 or 3 feet.
:-)
The first and last terms of a 10-term arithmetic series are listed in the table. What is
the sum of the series? (2 points)
Term Number Term
1
3
10
75
whats the value of x? -5(x + 7) = -14 + 2x
Answer: x=-3
Step-by-step explanation:
Ok let's start by using the distributive property
[tex](-5)(x)+(-5)(7)=-14+2x\\-5x-35=-14+2x[/tex]
Now subtract 2x from both sides
[tex]-5x-35-2x=2x-14-2x\\-7x-35=-14[/tex]
Next add 35 to both sides
[tex]-7x-35+35=-14+35\\-7x=21[/tex]
Finally divide both sides by -7
[tex]\frac{-7x}{-7} =\frac{21}{-7} \\x=-3[/tex]
Answer:
x = -3
Step-by-step explanation:
First, we compute -5(x + 7). -5(x + 7) = -5x - 35. Plugging this into the equation, we have -5x - 35 = -14 + 2x Next, we combine like terms by moving all terms with the variable x to the left side. We have -5x - 2x = -14 + 35. We simplify the equation into -7x = 21. Divide 21 by -7, and we get x = -3.
A woman buys a pair of shoes at a sale,
She pays $60. saving $15 on the regular
price. The percentage discount on the
shoes is
(A)
20
(B)
25
-
(C)
33
3
(D)
80
Answer:
20 %
Step-by-step explanation:
If she saved 15 dollars and paid 60, the original price was 60+15 = 75
The percent discount is (original - new) / original = ( 75-60)/75 = 15/75 = .2
Change to percent form = .2 * 100 =20%
Answer:
B.) 20 %
The percentage discount on the shoes is 20 % .
Step-by-step explanation:
Given :- A woman buys a pair of shoes at a sale . She paid $60 and saving $15 on the regular price.To Find :-The percentage discount on the shoesSolution. :-She pays 60 dollers and saved 15 dollers on the regular price.
original price of pair of shoes = 60 + 15 = 75
Percentage discount is = original price - new price / original price
= 75 - 60 / 75 = 15 / 75 = 0.2
Percentage discount = 0.2
Change into percentage =0.2× 100 = 20%
Therefore, the percentage discount on the shoes is 20 % .
the floor of a warehouse is 60m long 40m wide. find the cost of polishing the floor plzzz helpp
Answer:
Rs 192000
Step-by-step explanation:
area of floor = l*b
=60 * 40
=2400 m^2
cost of polishing per square cm of the floor is Rs 80
cost of polishing floor = 2400 * Rs 80
=Rs 192000
Which of the following is the value of a when the function f(x)=3|xl is written in the standard form of an absolute value
function?
Answer:
D = 3
Step-by-step explanation:
edge 2022
the taxi charges in a city consist of a fixed charge together with the charge for the distance covered. For a distance of 10 km, the charge paid is 105 and for a journey of 15 km, the charge paid is 155. How much does a person have to pay for traveling a distance of 25 km?
Answer:
255
Step-by-step explanation:
total cost paid = fixed cost + total variable cost
total variable cost = distance travelled x variable cost per unit
two equations can be derived from the question
a + 10b = 105 equation 1
a + 15b = 155 equation 2
a = fixed cost
b = variable cost per unit
Subtract equation 1 from 2
5b = 50
b = 10
Substitute for b in equation 1
a + 10(10) = 105
a = 105 - 100 = 5
a = 5
cost of travelling a distance of 25km
5 + 10(25) = 255
What is the answer. Do anything begging for help
Answer:what’s the question?
Step-by-step explanation:
Ramos spends $36.00 on a t-shirt and spends $20.00 on a hot dog.
Daniels spends $50.00 on shoes. Ramos has a bank account with a balance
of $100. How much will the purchase cost him? What would Ramos’ bank
balance be after all the debts were paid?
Answer:
$-6
Step-by-step explanation:
Spend
$36 on t-shirt
$20 hot dog
$50 shoes
Ramos money- $100
$36+$20+$50=$106
$100-$106=$-6
***Don't forget units***
Hope this was useful :)
Jaira is volunteering to stack 12 boxes of soup cans at a community food bank. She stacks the boxes to form a right rectangular prism. Describe or show 2 different ways that Jaira could have arranged her boxes to still make a rectangular prism.
Example: 6 boxes long, 1 box wide, and 2 boxes high ( 6 x 1 x 2 = 12 boxes )
A second way is: 4 boxes, ? , ? 4 x ? x ? = 12 boxes
A third way is: ? ? x ? x ? = ? boxes
2. Would you measure the space these boxes’ shape take up the same way you counted the area that the rug covered on the floor? Explain.
Answer:
6 boxes wide
6 boxes wide
or 2high 2high 2high 2high 2high 2high
Step-by-step explanation:
6 wide and 6 wide to make 12. 6x2=12
2 high ×6 2×6=12
help with question please
Answer:
i dont know
Step-by-step explanation:
Can someone help me out these problems !!!
Answer:
Zoom in more and I can help
Step-by-step explanation:
Find the Area of the figure below, composed of a rectangle and a semicircle. The
radius of the circle is shown. Round to the nearest tenths place.
13
3
Answer:
What grade math is this??
Step-by-step explanation:
Answer:92.1
Step-by-step explanation:
A=78+4.5
A=92.137166941154
A=92.1
The diameter of this beach ball is 12 inches.
Apply the formula for the volume of a sphere to
determine how much air it can hold. Use 3.14159 or
the a button on a calculator. Round the answer to the
nearest hundredth.
4
Sphere V = ſ tem
How much air can the beach ball hold?
Answer:
904.78
Step-by-step explanation:
Find the slope of the line please! Will mark as brainliest :)
Answer:
D. [tex]\displaystyle \frac{1}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Reading a coordinate graphCoordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify points from graph
Point (-5, -3)
Point (3, 1)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{1--3}{3--5}[/tex][Fraction] Subtract: [tex]\displaystyle m = \frac{4}{8}[/tex][Fraction] Simplify: [tex]\displaystyle m = \frac{1}{2}[/tex]Whats the surface area of a cube whose volume is 1664??
Answer:
A≈842.53
:))))
Volume = side³
=> 1664 = side³
=> ³√1664 = side
=> 4 (³√26) = side
=> 4 (26^1/3) = side
Surface area = 6 side²
=> Surface area = 6 × [4 (26^1/3)]²
=> Surface area = 6 × 140.42 [approximately]
=> Surface area = 842.54 [approximately]
Two of the three views of a solid are shown. A. What is the greatest number of unit cubes in the solid? Greatest number of unit cubes: cubes b. What is the least number of unit cubes in the solid? Least number of unit cubes: cubes Question 2
Answer: hello the views attached to your question is missing hence I will provide a more general answer based on the scope of your question
answer :
a) 8 unit cubes
b) 1 unit cube
Step-by-step explanation:
The number of views a solid figure can have are : Top view , Front view and side view and The greatest number of unit cubes in a solid depends on the side length of the unit cube
a) For a unit cube with side length half ( 1/2) the Unit length of the given solid the greatest number of unit cubes = 8 while
b) The least number of unit cube = 1
Which equation is equivalent to
y-1= 5(x+2) ?
Step-by-step explanation:
We can simply by opening the brackets ,
=> y - 1 = 5( x - 2 )
=> y - 1 = 5x - 10
=> y - 5x = -9
=> 5x - y + 9 = 0
Plss help me with this equation
Answer:
x = 110 degree
Step-by-step explanation:
Hope this helps u !!
Answer the questions please and no links
Answer:
3. would be one above the negative 5
4. 3 up from positive 4
5. would be on the negative 2
write the letters on those points respectively.
Please help i'm struggling with this!It's urgent!
Answer:
Step-by-step explanation:
Dilation
Please help i'm struggling with this!It's urgent!
Answer:
m=1/2
Step-by-step explanation:
coordinatr points are:
(6,4) = (x1,y1)
(8,5) = (x2,y2)
slope(m) = y2-y1/x2-x1
=5-4/8-6
=1/2
What are the coordinates of V′ for the transformation (T(–3, 1)° D4 )(ΔTUV) of T(–7, –6), U(–8, 3), and V(2, 1)?
Answer:
(5;1)
Step-by-step explanation:
-3 means shift to the right
write an equation to show the relationship between a and c when a = b + 9 b = c - 2
Given:
The equations are:
[tex]a=b+9[/tex]
[tex]b=c-2[/tex]
To find:
The equation that show the relationship between a and c.
Solution:
We have,
[tex]a=b+9[/tex] ...(i)
[tex]b=c-2[/tex] ...(ii)
Equation (i) can be rewritten as:
[tex]a-9=b[/tex] ...(iii)
From (ii) and (iii), we get
[tex]a-9=c-2[/tex]
[tex]a-c=9-2[/tex]
[tex]a-c=7[/tex]
Therefore, the required equation is [tex]a-c=7[/tex].
find the complement of 63°
Answer:
63=90-63= 27
Bye
EASY GEOMETRY PLS HELP!!!! AREA IF parallelogram
Answer
80 m^2
Step-by-step explanation:
basically 10 x 8 plus the value
Erin's jewelry box is in the shape of a rectangular prism. The measurements of the jewelry box are length 5 in, width 10 in, and height 3 in. What is the surface area of Erin's jewelry box?
Answer:
190 square inches
Step-by-step explanation:
Surface area of a rectangular prism formula is given as
2(LW + LH + WH)
Where
L = Length = 5in
H = Height = 3in
W = Width = 10in
Hence:
Surface area = 2(5 × 10 + 5 × 3 + 3 × 10) square inches
= 2 × (50 + 15 + 30) square inches
= 2 × (95) square inches
= 190 square inches
Therefore, the surface area of Erin's jewelry box is 190 square inches
A grandfather clock that usually sells for $500 is selling at a 25% discount.
What is the sale price of the clock?
Answer:
$375
Step-by-step explanation:
Method I
25% = .25
500 * .25 = 125
500 - 125 = 375
-----------------------
Method II
1 - .25 = .75
500 * .75 = 375
Please helpppp for tan need help quick
Answer:
8/15Step-by-step explanation:
according to the Pythagoras theorem ,
SohCahToa
Soh - sine is opposite , hypotenuse
Cah -cos is adjacent , hypotenuse
Toa - tan is opposite, adjacent
from the diagram above , the tan is 8/15.
Hope this is helpful ,
have a nice day :-)
A polygon with 6 sides is shown. No angles go inside of the shape.
What type of polygon is shown?
convex heptagon
concave heptagon
concave hexagon
convex hexagon
Answer:
d. convex hexagon
Step-by-step explanation:
i got a 100 edge 2021
The type of Polygon shown as given in the question with its' shape is called; Convex Hexagon
How to define Polygons?We are told that the polygon has 6 sides and that no angle goes inside the shape.
Now, a polygon with 6 sides is called a hexagon. However, in this case the name will be a convex hexagon because it will have a hexagonal shape with no interior angle greater than 180°.
Despite that said, regular hexagons will always be called convex hexagon while Irregular hexagons can also be called convex hexagons.
Read more about Polygons at; https://brainly.com/question/1592456
#SPJ2
To solve by completing the square, what needs to be moved in this equation?
x2 = 9 - 4x
A. The x^2
B. =
C. The - 4x
D. The 9
Answer:
To complete the square, we need to have the equation set up like this:
x^2 +4x =9
To do that, we'd need to move the 4x to the left side producing
4x + x^2 = 9
And that can be rewritten as
x^2 +4x =9
So the term that needs to be moved is -4x
https://www.1728.org/quadr2.htm
Step-by-step explanation:
