Answer:
113.1 ft²Step-by-step explanation:
The scale:
3 cm ⇔ 4 ftDiameter of base of fountain:
9 cm ⇔ 12 ft using the above scaleArea of the base:
A = πd²/4A = π*12²/4 = 113.097 ≈ 113.1 ft² (rounded)Expand the expression 3(x - 5)
Answer:
3×-15=0
3×=0+15=15
Divide by 3
3×=15
×=5
Which table represents a linear function? PLSS HELP Giving brainliest.
Answer:
The first one I'm pretty sure.
Step-by-step explanation:
. Shawn gets an allowance of $18 each week and his sister Natasha gets an allowance of $9 each week. Shawn saves 1/2 of his allowance, and Natasha saves 2/3 of her allowance. Suppose Shawn started with $0 savings, and Natasha started with $30. How many weeks will it take until they have the same amount in savings?
Answer:
Shawn and Natasha have same amount in savings after [tex]10[/tex] weeks.
Step-by-step explanation:
Shawn gets an allowance of $18 each week.
Amount saved by Shawn = [tex]\frac{1}{2}(\$18)=\$9[/tex]
Natasha gets an allowance of $9 each week.
Amount saved by Natasha = [tex]\frac{2}{3}(\$9)=\$6[/tex]
Suppose that Shawn and Natasha have same amount in savings after [tex]x[/tex] weeks.
Also, Shawn started with $0 savings, and Natasha started with $30.
So,
[tex]9x=30+6x\\9x-6x=30\\3x=30\\x=10[/tex]
Therefore,
Shawn and Natasha have same amount in savings after [tex]10[/tex] weeks.
4 points
4.) How could we determine who has the greater total change in the
amount of juice in their carton?
Felicia pours juice from a carton into a glass. Every time she fills the glass, the
amount of juice in the carton changes by -0.44 L. She fills her glass 2 times in
all. Bernadette has a different carton of juice that is the same size. Every time she
fills her glass, the amount of juice in her carton changes by -0.42 L. She fills her
glass 2 times in all. Who has
the greater total change in the amount of juice in
their carton?
A. 2 3/4 multiplied by (-0.44) and 2 2/3 multiplied by (-0.42)
B. 2 3/4 divided by -0.44 and 2 2/3 divided by -0.42
Answer:
A is the answer you sent on the question on carton
Determine whether each relation is a function. If so, provide the domain and range.
a. Width versus area.
Width (m) | Area (m2)
1 6
5 50
10 150
11 176
14 266
Function?
If so,
Domain =
Range =
b. Hours worked versus salary.
Hours Worked | Salary
0 0
10 $300
20 $600
30 $900
40 $1200
Function?
If so,
Domain =
Range =
c. Height versus age.
Height (cm) | Age (years)
160 20
160 25
160 30
160 35
160 40
160 45
160 50
Function?
If so,
Domain =
Range =
Answer:
a. Function: Yes
Domain = 1, 5, 10, 11, 14
Range = 6, 50, 150, 176, 266
b. Function: Yes
Domain = All positive integers
Range = All positive integers
c. Function: The relation is not a function
Step-by-step explanation:
A function is a relation where each input value has only one output value
a. The given data are presented as follows
[tex]\begin{array}{cc}Width \, (m)&Area \, (m^2)\\1&9\\5&50\\10&150\\11&176\\14&266\end{array}[/tex]
For each value of the input variable, the width, there is exactly one out put variable, therefore, the relation is a function
Function; Yes
The domain, the input values, includes; 1, 5, 10, 11, 14
The range, the output, values, includes; 6, 50, 150, 176, 266
b. Hours worked versus salary
[tex]\begin{array}{cc}Hours \ worked &Salary\\0&0\\10&\$300\\20&\$600\\30&\$900\\40&\$1200\end{array}[/tex]
For each value of the input variable, hours worked, there is exactly one out put variable, therefore, the relation is a function with the following equation;
Salary = $30 × Hours worked
Function; Yes
The domain, the input values, includes; All positive integers
The range, the output, values, includes; All positive integers
c. Height versus age
[tex]\begin{array}{cc}Height \, (cm)&Age\, (years)\\160&20\\160&25\\160&30\\160&35\\160&40\end{array}[/tex]
For each value of the input variable, the height, there are more than one out put variable, the age, therefore, the relation is not a function
Function; No
50 points
Help if you know.
Thanks.
Answer:
RhombusStep-by-step explanation:
Refer to attached
You can easily calculate that each of the sides have the length:
AB= BC = CD = AD = [tex]\sqrt{1^2+4^2} = \sqrt{17}[/tex]Parallel sides have equal slopes:
m = - 4 for AB and CDm = - 1/4 for AD and BCDiagonals are perpendicular as their slopes are negative reciprocal:
m = 1 for ACm = -1 for BDSo we see the quadrilateral ABCD has two pairs of parallel sides, all sides are equal and the diagonals are perpendicular.
This is the definition of the rhombus.
The price of gold is often reported per ounce. At the end of 2005, this price was $520. At the end of 2020, it was $1,775. By what percentage did the price per ounce of gold increase? (rounded to the nearest hundredth of a percent followed by a percent symbol)
Answer: 66% I think.
Step-by-step explanation: 550 is way less that 1.000
James had $ 6500 in a bank account that paid 4% interest at the end of each year. How much money did Mr. James have in his account at the end of 1 year ?
$6700
$ 6760
$ 6750
$6775
Answer:
6760
Step-by-step explanation:
4% of 6500
= (6500 x 4) ÷ 100
= 26000 ÷ 100
= 260 $
6500 + 260 = 6760$
3
Natalie bought 3/4 pound flour for baking. She used 2/3 of the flour to make cookies. How many pounds of flour did she use?
Answer:
it blurry
Step-by-step explanation:
Write the equation of a circle that has a diameter of 12 units if its center is at (4,7).
PLZ HELP ASAP! I will give you BRAINLIEST
9514 1404 393
Answer:
(x -4)^2 +(y -7)^2 = 36
Step-by-step explanation:
The equation of a circle with radius r and center at (h, k) is ...
(x -h)^2 +(y -k)^2 = r^2
When the diameter is 12, the radius is 6 (half the diameter). Then for your center point, the equation is ...
(x -4)^2 +(y -7)^2 = 36
−2x+y=0, −7x+3y=2 adding
Answer:
X= -2, y=-4
Step-by-step explanation:
hard to explain it
In the United States, 13 out of every 20 cans are recycled. What percent of cans are recycled? Write an equation to represent this situation.
I will give brainliest if someone helps me write my equation.
Answer:
65% of cans are recycled
x*0.65 could be the equation
paying
Activity 1.4
Solving problems with whole numbers
2. In a truck of red and green peppers, the ratio of red peppers to green peppers is 3.4.
If the truck contains 120 green peppers, how many red peppers are there?
Answer:
90
Step-by-step explanation:
3:4
R:G
total ratio =7
total peppers is y
4/7 × y = 120
7×120=4y
840÷4=y
y=210
G+R=Y
210-120=R
R=90
Wayne is hanging a string of lights 45 feet long around the three sides of his patio, which is adjacent to his house. The length of his patio, the side along the house, is five feet longer than twice its width. Find the length and width of the patio.
Answer:
The length and width of the patio are 18¹/₃ feet and 6²/₃ feet respectively.
Step-by-step explanation:
Let L and W be the length and width of the patio respectively. Since the patio is a rectangle, its perimeter, P = 2(L + W). This perimeter equals the length of string of lights which is 45 ft.
Now, the length of his patio, the side along the house, is five feet longer than twice its width implies that L = 2W + 5.
Substituting L into P, we have
P = 2(L + W)
= 2(2W + 5 + W)
= 2(3W + 5)
= 6W + 5
Since P = 45 feet,
6W + 5 = 45
6W = 45 - 5
6W = 40
W = 40/6
W = 20/3 feet
W = 6²/₃ feet
Since L = 2W + 5, substituting W = 20/3 into L, we have
L = 2W + 5
= 2(20/3) + 5
= 40/3 + 5
taking the L.C.M, we have
= (40 + 15)/3
= 55/3 feet
= 18¹/₃ feet
So, the length and width of the patio are 18¹/₃ feet and 6²/₃ feet respectively.
please find the value of x :)
my teacher wasnt much help and I missed the lesson :/ so please help
Answer:
10°
Step-by-step explanation:
All angles on a straight line equal 180°.
Answer:
x=10 degrees
Step-by-step explanation:
Every straight line will always be equavilant to 180 degrees. So I added 92+78 which gave me 170. From there, I subtracted 180-170 which gave me 10 degrees. Hope this helps!
!Help Please!
Find the volume of this cylinder
Answer:
V~1911
Step-by-step explanation:
7^2=49
3*49=147
147=1911
V~1911
tom and Tamir applied to the same university. They looked up the average SAT score of students admitted to that university. Tom’s SAT score was 260 points above the average score. Tamir’s SAT score was 20 points below the average score. Which expression represents the difference in their scores? -❘260 - 20❘ ❘-20 - 260❘ ❘260 - 20❘ -❘260❘ - ❘20❘
Answer:
|260 -20|
Step-by-step explanation:
The difference between their scores is 240 which is always positive +
12. The base angles of an isosceles triangle are represented by (5x + 10) and 50°. Find x.
Answer:
x = 8
Step-by-step explanation:
Base angles of isoceles triangle are equal
5x + 10 = 50
5x = 40
x = 8
Evaluate x-(-11) for x = 14.
Step-by-step explanation:
x-(-11)
= x+11
= 14+11
= 25
Solving Logarithmic Equations
不
Identify the solution set of 3 In 4 = 2 In x.
o {6}
O {-8, 8}
o {8}
DONE
(8)
Answer:
Step-by-step explanation:
3ln(4) = 2ln(x)
ln(4³) = ln(x²)
4³ = x²
(2²)³ = x²
2⁶ = x²
x = ±√2⁶ = ±2³ = ±8
However, the argument of a logarithm must be positive, so x=8.
The solution set of the equation is {8, -8}, but we can discard the negative solution as it is not physically meaningful in this context. So, the final solution set is {8}. Option D is correct.
To solve the equation, we can use the logarithmic identity that states:
n * log(a) = log(aⁿ)
Using this identity, we can rewrite the equation as:
In(4³) = In(x²)
Simplifying both sides using the natural logarithm properties, we get:
In(64) = In(x²)
Taking the exponential of both sides, we have:
[tex]e^{In 64} = e^{In x^2}\\64 = x^2[/tex]
Taking the square root of both sides, we get:
x = ±8
However, we must check if either of these solutions makes the argument of the natural logarithm negative, which is not allowed. Since the argument of the natural logarithm is positive for both x = 8 and x = -8, both solutions are valid.
Therefore, the solution set of the equation is {8, -8}, but we can discard the negative solution as it is not physically meaningful in this context. So, the final solution set is {8}.
Learn more about logarithmic function here:
https://brainly.com/question/3181916
#SPJ7
What is x equal to in this problem?
Answer: x = 6
Step-by-step explanation:
All angles in a triangle = 180*
9x - 11 + 80 + 57 = 180
9x + 137 = 180
9x = 54
x = 6
Plug in to see if its correct
9 (6) - 11 + 80 + 57 = 180
54 + 126 = 180
180 = 180
Which equation for a line with a slope of -3 and a y intercept of 4? Multiple Choice Answer: y=-4+3, y= - 3/4x+4, y=-3x+4, y= - 4\3x-3. HElP QUICKLY
y=-3x+4
dedont be suspicoes
A MOP TO CLEAN CULO
c
c
c
c
c
ITS A ANGLE QUESTON PLS HELP
This is a right angles triangle
(6x6)/2
18
Hope this helps :>From CambridgePlease give brainliestAnswer:
18 cm²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 6 and h = 6 , then
A = [tex]\frac{1}{2}[/tex] × 6 × 6 = 3 × 6 = 18 cm²
does anyone know how to solve for the range?
Answer:
{-3,0,2,5}
Step-by-step explanation:
range consists of all y-values from each ordered pair in the relation shown
need help again... asap
Answer:
9/41
Step-by-step explanation:
cos=adjacent/hypotenuse
adjacent=9
hypotenuse=41
The table summarizes data about the median debt for
graduating students from a sample of universities in two
states, California and New York
median debt less than
$9.000
median debt at least
$9.000
total
California
universities
130
445
575
shoe preference
New York
universities
271
343
total
202
716
918
concludes that
so possible
ation between
d shoe
ence is Jada's
sion reasonable?
n your reasoning
Is there an association between the state and the amount
of median debt for graduates? Explain your reasoning.
Answer:
No
Step-by-step explanation:
There is no association between the state and the debt level for graduates because when all put into precentages they are all about the same.
Find the volume of a pyramid with a square base, where the perimeter of the base is
17 cm and the height of the pyramid is 15 cm. Round your answer to the nearest
tenth of a cubic centimeter.
Answer:
90.3125 cm³
Step-by-step explanation:
Since the perimeter of the bottom square is 17, you can divide by four to find out what the lenght of each side is.
17/4=4.25 cm
We know the height of pyramid is 15 cm
The formula for the volume of a square pyramid is
V=a²(h/3)
V=a2(h/3)=4.252·15/3=90.3125 cm³
Your friend Mel says he has an easier way to solve this problem. Here are the first steps in his method.
First, isolate all of the x-terms on the left side. This leaves a constant on the right that isn't equal to 0.
Factor the GCF out of the terms on the left side.
If there's a whole-number factor on the left side, divide both sides by that number. Notice that after you do this, one factor on the left is just x.
Apply Mel's steps to your equation in question 1. (5 points)
The original equation is 2x^2 +6x+4=24 ft.^2
Simplifying
2x2 + 6x + 4 = 24
Reorder the terms:
4 + 6x + 2x2 = 24
Solving
4 + 6x + 2x2 = 24
Solving for variable 'x'.
Reorder the terms:
4 + -24 + 6x + 2x2 = 24 + -24
Combine like terms: 4 + -24 = -20
-20 + 6x + 2x2 = 24 + -24
Combine like terms: 24 + -24 = 0
-20 + 6x + 2x2 = 0
Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + 3x + x2) = 0
Factor a trinomial.
2((-5 + -1x)(2 + -1x)) = 0
Ignore the factor 2.
Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:
Simplifying
-5 + -1x = 0
Solving
-5 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5
Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5
Combine like terms: 0 + 5 = 5
-1x = 5
Divide each side by '-1'.
x = -5
Simplifying
x = -5
Answer:
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:
-5 + -1x = 0
-5 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
-5 + 5 + -1x = 0 + 5
Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5
Combine like terms: 0 + 5 = 5
-1x = 5
x = -5
Step-by-step explanation:
Jennifer deposits $1,000 into an account that is compounded monthly for 4 years. The account earns 7% interest. What is the ending balance in the account at the end of the 4 years (assuming no new deposits or withdrawals)?
SHOW THE WORK PLEASE
Answer:
1000( 1 + 7/100)^4 = 1310.79601 which is 1311
By what percent did the enrollment increase from 2012 to 2014? 2012, 190. 2014, 285.
Answer:
50%
Step-by-step explanation:
(285 - 190) / 190 = 95/190 = .5 or 50%