Answer:
262 square feet
Step-by-step explanation:
The required expression model for the cost of the ramp is y = 2.20x.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Let the area of the ramp be x and the cost to build the ramp be y,
According to the question,
The material Santiago will use to build the ramp costs $2.20 per square foot.
Total cost = 2.20 × area of the ramp
Substitute the variable in the above expression,
y = 2.20x
The above equation represents the equation model for the cost of ramp y for the x square foot area of the ramp.
Thus, the required expression model for the cost of the ramp is y = 2.20x.
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Sarah is creating a triangular birthday card for her teacher. In order to glue lace
around the outside of the card, Sarah needs to know the length of each side. She
knows that two of the sides measure 4 inches and 9 inches. Between which two
numbers must the third side of the card fall?
Answer:
6-12.
Step-by-step explanation:
Between 6 to 12 two numbers must the third side of the card fall.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that Sarah is creating a triangular birthday card for her teacher.
Thus in order to glue lace around the outside of the card, Sarah needs to know the length of each side.
It should be known that two of the sides measure 4 inches and 9 inches.
Therefore, in between 6 to 12 the third number must be lie.
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Molly opened a savings account to save for a bicycle. She deposited the same amount of money each week. At the end of 18 weeks, she had saved $331.56. How much money did Molly deposit into her account each week?
Answer:
Weekly deposit= $18.42
Step-by-step explanation:
Giving the following information:
Number of weeks= 18
Total amount of money= $331.56
She deposited the same amount of money each week.
To calculate the weekly deposit, we need to divide the total savings by the number of weeks:
Weekly deposit= 331.56 / 18
Weekly deposit= $18.42
Write an expression for the area and perimeter for the figure shown.
I WILL GIVE THE BRAINLIEST IF YOU CAN ANSWER THIS
You may borrow up to 2.5 times your annual income. Arianna is buying a home. Her weekly income is $900. What is the maximum amount that she may borrow?
Answer: $117,000
Step-by-step explanation:
The maximum that Arianna may borrow is 2.5 times her annual income.
First step therefore, would be to calculate her annual income:
= 900 * 52 weeks
= $46,800
She may borrow 2.5 times this:
= 46,800 * 2.5
= $117,000
19+23=2X-2
Someone help me pleaseeeeeeeeeeeeee
Answer:
x = 22
Step-by-step explanation:
19+23=2X-2
42 = 2x - 2
-2x = -2 - 42
-2x = -44
x = 22
hope this helps
4
The diagram shows a shape.
12 cm
Diagram NOT
accurately dre
6 cm
9 cm
x cm
The shape has area 129 cm
Work out the value of x.
Answer:
x = 7 cm
Step-by-step explanation:
12x9 + 3x = 129
108 + 3x = 129
3x = 21
x = 7 cm
The value of x will be;
⇒ x = 2.3 cm
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
The shape has area 129 cm².
Now,
Since, The shape has area 129 cm².
And, The Length of the large rectangle = (12 + x) cm
And, The width of the rectangle = 9 cm
We know that;
The area of rectangle = Length × Width
⇒ 129 = (12 + x) × 9
⇒ 129/9 = 12 + x
⇒ 14.3 = 12 + x
⇒ x = 14.3 - 12
⇒ x = 2.3 cm
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G (x ), represents transformations on the parent function of y = (½) x Write the equation for g (x ).
Complete Question:
g(x), represents transformations on the parent function of [tex]y = (\frac{1}{2})^x[/tex].
Write the equation for g (x ) with the following transformations:
Reflect over y-axis, and shift right 7
Answer:
[tex]g(x) = (\frac{1}{2})^{-x-7}[/tex]
Step-by-step explanation:
Given
[tex]y = (\frac{1}{2})^x[/tex]
Represent the function as:
[tex]f(x) = (\frac{1}{2})^x[/tex]
Taking the transformations, one after the other:
Reflect over the y-axis.
This is represented by the rule: (x,y) ==> (-x,y)
So, we have:
[tex]f'(x) = (\frac{1}{2})^{-x}[/tex]
Shift right 7 units
This is represented by (x,y) = (x - b, y)
Where b represents the number of units
So, we have:
[tex]f'(x-7) = (\frac{1}{2})^{-x-7}[/tex]
Hence:
[tex]g(x) = (\frac{1}{2})^{-x-7}[/tex]
20 POINTS !
Please help because when I say I’m confused
Answer:
1. B
2. A
3. C
Step-by-step explanation:
Please help!! I’m stuck on this
√-4 - 5x = x
A. x = -1 or x = 4
B. x = -1 or x = -4
C. x = 1 or x = -4
D. x = -5 or x = 4/5
E. x = 1 or x = 4
Answer:
B. [tex]x = -4\,\lor \,x = -1[/tex]
Step-by-step explanation:
Let [tex]\sqrt{-4-5\cdot x} = x[/tex], we solve for [tex]x[/tex] by algebraic means.
1) [tex]\sqrt{-4-5\cdot x} = x[/tex] Given
2) [tex]-4-5\cdot x = x^{2}[/tex] Definition of power/Symmetry of equality
3) [tex]x^{2}+5\cdot x + 4 = 0[/tex] Compatibility with addition/Commutative and associative properties/Existence of additive inverse/Modulative property
4) [tex](x+4)\cdot (x+1) = 0[/tex] [tex]x^{2}+(a+b)\cdot x +a\cdot b = (x + a)\cdot (x+b)[/tex]
5) [tex]x = -4\,\lor \,x = -1[/tex] Result
Hence, the correct answer is B.
Write them equation of the line with the given slope and y-intercept. Slope is -2 and a y-intercept of 5
Answer:
y=-2x+5
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept
PLEASE HELP!
The terminal side of an angle in standard position passes through P(15,-8). What is the value of sin e?
d
15
sin A=-
17
sin =-
8
17
8
sin =
17
sin e
15
17
Answer:
I dont know what sin is
Step-by-step explanation:
It 16x = (141)²-(109)², then
the value of x is.
(a). 150
(b). 500
(c). 600
(d). 32
Answer:
b) 500
16x = (141)^2 - (109)^2
or, 16x = 19881 - 11881
or, x = 8000/16=500
Brainly reward!!!!
What's the area of the gray shape?
Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation 3х-5=2x+ 10?
Ox= 5
О-5а Х
O-15 = -5x
O-5х = 15
PLEASE HELP!!!
Find sin D, sin E, cos D, and cos E. Write each answer as a fraction in simplest form.
Answer:
Here are what they equal in their simplest forms!
Step-by-step explanation:
Sin D & Cos E were originally equal to 13 -/3 over 26
-
Sin E & Cos D were originally equal to 13/26
-
Hope I was able to help!
Answer:
sin D = FE/DE = 13√3 /26 = √3 /2
sin E = DF/DE = 13/26 = ½
(sin E = cos D)
cos D = DF/DE = 13/26 = ½
cos E = EF/DE = 13√3 /26 = √3 /2
(sin D = cos E)
HELP WILL MARK BRAINLIEST IF GOTTEN RIGHT!!!!!
Answer:
B) ΔGRS ≈ ΔART by SAS Similarity
Step-by-step explanation:
Find the measure of Arc XY.
Answer:
arc XY = 46°
Step-by-step explanation:
the arc of an inscribed angle is equal to 2 x the inscribed angle
mXY
2m<XZY2(23)46°the rational expressionwrite this ratio in the form p(x) + x/(x - 2) Where is some x - 2
Answer:
[tex]\frac{2x^2+5x-14}{x-2}=(2x+9)+\frac{4}{x-2}[/tex]
Step-by-step explanation:
Given rational expression is,
[tex]\frac{2x^2+5x-14}{x-2}[/tex]
x - 2) 2x² + 5x - 14(2x + 9
2x² - 4x
9x - 14
9x - 18
4
Therefore, [tex]\frac{2x^2+5x-14}{x-2}=(2x+9)+\frac{4}{x-2}[/tex] is the answer.
Expand the expression 9(2t-8)
Answer:
18t-72
Step-by-step explanation:
44 cu. cm of wire is drawn into a wire of diameter 2 mm , the length of wire will be _____.
Given:
44 cu. cm of wire is drawn into a wire of diameter 2 mm.
To find:
The length of the wire.
Solution:
We know that,
1 cm = 10 mm
1 cu. cm = 1000 cu. mm
We have, a wire of cylindrical shape.
Volume of the wire = 44 cu. cm
= 44000 cu. mm
Radius of the wire = 2 mm
Volume of a cylinder is:
[tex]V=\pi r^2h[/tex]
Where, r is the radius and h is the height.
Putting V=44000, [tex]\pi=\dfrac{22}{7}[/tex] and r=2, we get
[tex]44000=\dfrac{22}{7}\times 2^2\times h[/tex]
[tex]44000\times \dfrac{7}{22}=4h[/tex]
[tex]14000=4h[/tex]
Divide both sides by 4.
[tex]\dfrac{14000}{4}=h[/tex]
[tex]3500=h[/tex]
Therefore, the length of the wire is 3500 mm or 350 cm.
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
Try C it probably is your answer
The triangles below are similar.
10
y
22
33
12
y = [?]
Answer:
y=15
Step-by-step explanation:
Since the triangles are similar you take 22/33 and 10/y then cross multiply and get 330=22y now divide 330 by 22 and you get 15
The value of x is 26.4 unit and y is 15 units,
What is Similarity?Two triangles are said to be comparable if their two sides are in the same ratio as the two sides of another triangle and their two sides' angles inscribed in both triangles are equal.
Given:
As, the two triangles are similar then the ratio of their corresponding sides and angles are equal.
So, 22/ 10 = 33/ y
22y = 330
y = 330/22
y = 15
and, 22/10 = x/ 12
264 = 10 x
x= 26.4
Hence, the value of x is 26.4 unit and y is 15 units,
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-3 < n < 1
n is an integer
Write down all the possible values of n
Answer:
n ε{-2,-1,0} with n being integer
can someone help me out in this, ill give brainliest if correct, you can answer by doing it in a paper and taking a picture of it or just find out another way
Answer:
Answering so you can give other person branliest
Can I please have help with question 2) a and b
Answer:
[tex]\frac{10\sqrt{6} }{3}[/tex] and [tex]\frac{11\sqrt{3} }{3}[/tex]
Step-by-step explanation:
(a)
A = [tex]\frac{1}{2}[/tex] × 4[tex]\sqrt{2}[/tex] × [tex]\frac{5}{\sqrt{3} }[/tex]
= 2[tex]\sqrt{2}[/tex] × [tex]\frac{5}{\sqrt{3} }[/tex]
= [tex]\frac{10\sqrt{2} }{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ← rationalise the denominator
= [tex]\frac{10\sqrt{6} }{3}[/tex] units²
(b)
Using Pythagoras' identity in the right triangle
let hypotenuse be h , then
h² = (4[tex]\sqrt{2}[/tex] )² + ([tex]\frac{5}{\sqrt{3} }[/tex] )²
= 32 + [tex]\frac{25}{3}[/tex]
= [tex]\frac{96}{3}[/tex] + [tex]\frac{25}{3}[/tex]
= [tex]\frac{121}{3}[/tex] ( take the square root of both sides )
h = [tex]\sqrt{\frac{121}{3} }[/tex] = [tex]\frac{11}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ← rationalise the denominator
h = [tex]\frac{11\sqrt{3} }{3}[/tex]
Ill Give brainliest To whoever can answer this please .ASAP . Thanks-Rin
Answer: The answer is c
Explanation:
Interest earned: $84
Principal: 600
Interest rate: 7%
Time: ?
Answer:
2 years
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 7%/100 = 0.07 per year,
then, solving our equation
t = 84 / ( 600 × 0.07 ) = 2
t = 2 years
The time required to
accumulate simple interest of $ 84.00
from a principal of $ 600.00
at an interest rate of 7% per year
is 2 years.
Select the answer that correctly orders the set of numbers from greatest to least. 0.25, start fraction 2 over 5 end fraction , 32%, start fraction 7 over 14 end fraction A. start fraction 7 over 14 end fraction, start fraction 2 over 5 end fraction, 32%, 0.25 B. start fraction 7 over 14 end fraction, 0.25, 32%, start fraction 2 over 5 end fraction C. start fraction 7 over 14 end fraction, 32%, start fraction 2 over 5 end fraction ,0.25 D. start fraction 2 over 5 end fraction, start fraction 7 over 14 end fraction, 32%, 0.25 please help ASAPPP
Answer:
A. 7/14, 2/5, 32%, and .25
3b-2b+4b 5b I need help please
Answer:
5b
Step-by-step explanation:
Answer:
what sign is between 4b and 5b
Step-by-step explanation:
Gabriella bought three melons for 7.50 how many melons can April buy if she has 17.50
Answer:
7 melons
Step-by-step explanation:
So we first figure out the unit price of each melon by dividing 7.5 with 3 and you get $2.5 per melon. Then you divide 17.5 by 2.5 and then you should get 7.