Paula is wallpapering a wall in her house. The wall is 14 ft x 8 ft with a
doorway that is 3 ft x 6 ft and a window that is 4 ft x 4 ft. How much
area does Paula need to wallpaper?
Answer:
78 ft^2
Step-by-step explanation:
14x8 - (3x6) + (4×4)
112 - (18+16)
= 78ft^2
Suppose the demand for Volkswagen Beetles in Mexico is described by the function D=33.000-2P. where D is the quantity of Beetles that will be demanded when the price is P dollars. Suppose further that the supply S of Volkswagen Beetles follows the functional relationship S = 6000 + P Solve for the equilibrium price P which is the value of at which demand would equal supplyi.e. at which D = S
pls, help! and explain
Answer:
I can't seem to work out the other two, sorry
Step-by-step explanation:
1. -> c. because there are 10 letters in total and there are 4 vowels, so it would be 4/10, then we'd simplify by 2, and I gives us 2/5
4. -> g. because there are 10 letters so it's 10/10 which gives us 1
Answer:
CEFG
Step-by-step explanation:
1. P = 4/10 = 2/5
2. P= (4/10)(4/10)=16/100=4/25
3. P= (4/10)(3/9) = 12/90 = 2/15
4. P = 12/12 = 1
Hope this helps
What is the 4th term of the linear sequence below? 6 , 13 , 20 , 27 , 34 ,
Answer: 27
Step-by-step explanation:
6 is the 1st
13 is the 2nd
20 is the 3rd
27 is the 4th
34 is the 5th
Someone help me with this question please
Answer:
0.6.
Step-by-step explanation:
Sin A = opposite side / hypotenuse
= 3/5 = 0.6.
Answer: 0.6.
Step-by-step explanation:
Sin A = opposite side / hypotenuse
= 3/5 = 0.6.
Graph the following pair of quadratic functions and describe any similarities/differences observed in the graphs.
f (x) = 5 x squared minus 3. g (x) = 5 x squared + 3.
a.
both f and g open downward; low point of f is 3 units below the x-axis; the low point of g is 3 units above the x-axis
b.
both f and g open upward; low point of f is 3 units above the x-axis; the low point of g is 3 units below the x-axis
c.
both f and g open upward; low point of f is 3 units below the x-axis; the low point of g is 3 units above the x-axis
d.
both f and g open downward; low point of f is 3 units above the x-axis; the low point of g is 3 units below the x-axis
Answer:
c.
Step-by-step explanation:
The leading coefficient is 5 (positive) so they both open upwards.
f has -3 (below x axis) and g has + 3. (above x-axis)
A healthy school lunch that is $0.75 more than the current lunch has a higher economic
The fact that the healthy school lunch has a higher price than the current lunch means that it has a higher economic cost.
What is an economic cost?An economic cost in this scenario, is the increased cost that comes with a commodity having greater perceived value.
A healthy school lunch will help a person stay healthy which is why it has more value than the current lunch. This is the reason for its higher price.
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Answer: cost
Step-by-step explanation:
.. Discuss the nature of the root of equation x2 + 2x + 3 = 0
Answer:
No real rootsStep-by-step explanation:
Given equation:
x² + 2x + 3 = 0On comparing the equation by ax² + bx + x = 0, We get: a = 1, b = 2 and c = 3
To Find the nature of the roots of the equation firstly we need to find the discriminant of the equation. The expression b²- 4ac is called the discriminant.
[tex]~[/tex]
Two Distinct real roots, if b² - 4ac > 0Two equal real roots, if b² - 4ac = 0No real roots, if b² - 4ac < 0[tex] \\ \: \: \dashrightarrow \: \: \: \sf {b}^{2} - 4ac = 0 \\ \\ \\\: \: \dashrightarrow \: \: \: \sf (2)² - 4 \times 1 \times 3 = 0 \\ \\ \\ \: \: \dashrightarrow \: \: \: \sf 4 - 4 \times 1 \times 3 = 0 \\ \\ \\ \: \: \dashrightarrow \: \: \: \sf 4 - 12 = 0 \\ \\ \\ \: \: \dashrightarrow \: \: \: \sf {\underline{\boxed{\sf{\purple{ -8 > 0}}}}} \\ \\ [/tex]
The discriminant is smaller than 0.
Hence, Equation has no real roots (no solution)what is the answer to this?
The domain of the function is from the point -5 up to infinity that is [-5, infinity)
Domain of a functionThe domain are the independent value of a function for which it exists.
From the given graph, the domain will be the inteval of the function along the x-axis.
From the graph, you can see that the domain of the function is from the point -5 up to infinity that is [-5, infinity)
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A shark spotter is standing at lookout point 25m above the waters edge. He spots a shark in the water at an angle of depression of 50. If the swimmer that is also in the water is sim from the foot of the lookout spot, how far is the shark from the swimmer?
The shark is 29.78 from the swimmer.
What is angle of depression?Angle of depression is the angle between the line of sight and the vertical or perpendicular to the earth surface.
Analysis:
The height of the lookout, the distance of shark from swimmer and line of sight form a right angle triangle.
So that, tan 50 = distance of shark from swimmer/25
Distance of swimmer = 25 tan 50
Distance of swimmer from shark = 25(1.1910 = 29.78m
In conclusion, the distance of the shark from the swimmer is 29.78m
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The distance of the shark from the swimmer is 21m
TrigonometryFrom the question, we are to determine the distance the shark is from the swimmer
In the diagram,
S is the position of the shark
M is where the shark spotter is standing
and B is the position of the swimmer
The distance between the shark and the swimmer is /BS/
Using SOH CAH TOA
[tex]tan 50^\circ = \frac{25}{/BS/}[/tex]
[tex]1.19175 = \frac{25}{/BS/}[/tex]
∴ [tex]/BS/ = \frac{25}{1.19175}[/tex]
/BS/ = 20.97755
/BS/ ≅ 21 m
Hence, the distance of the shark from the swimmer is 21m.
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Jamal works at a sporting goods store on the weekends. Suppose last weekend he worked
12.5 hours and earned $110. How much money does Jamal earn per hour?
* Write an equation you can use to solve the problem , then find the solution
Answer:
$8.8 per hour
Step-by-step explanation:
Well, the equation is simple.
Time (hours) * Money (per hour) = Total
We know the time he worked for and the total amount he earned, so just replace in this equation and find the unknown number
12.5 * money = 110
To find the money he earns per hour we should just simply divide the total amount he earned by the hours he spent working
money = 110/12.5
money = 8.8$
You can also check it out to make sure it's correct.
If he earns 8.8$ per hour and worked for 12.5 hours how much he'll earn? Let's find out
8.8 * 12.5 =?
8.8 * 12.5 = 110, the same total amount so our solution must be correct.
If the graph of f(x) = x2, how will the graph be affected if it is changed to f(x) = 1/3x^2
A. The parabola will be wider.
B. The parabola will be translated up.
C. The parabola will be narrower
D. The parabola will be translated down
Answer:
Step-by-step explanation
the answer is A.
y=x-2
y=4
x=3
y=2x+1
CAN SOMEBODY HELP ME WITH THIS? SUPER HARD HOMEWORK
Answer:
//Solve equation [2] for the variable y
[2] y = 4
// Plug this in for variable y in equation [1]
[1] (4) - x = -2
[1] - x = -6
// Plug this in for variable y in equation [4]
[4] (4) - 2x = 1
[4] - 2x = -3
// Solve equation [1] for the variable x
[1] x = 6
// Plug this in for variable x in equation [3]
[3] (6) = 3
[3] 0 = -3 => NO solution
No solution
Which of the following expanded forms represents the number words one thousand, six hundred eighty-nine?
O 1,000 + 60 + 80 + 9
O None of thse choices are correct.
O 600 + 80 + 9
O 1,000 + 600 + 80 + 9
O 1,000 + 60 + 8 + 9
Find mKNL.
A. 264
B. 196
C. 184
D. 247
Applying the angle of intersecting secants and tangents theorem, m(KNL) is: A. 264°.
What is the Angle of Intersecting Secants and Tangents Theorem?The angle of intersecting secants and tangents theorem states that the angle formed outside a circle has a measure that equals 1/2 the positive difference of the measures of the intercepted arcs.
60 = 1/2(18x - 6 - 5x - 17) [angle of intersecting secants and tangents theorem]
Solve for x
2(60) = 13x - 23
120 = 13x - 23
120 + 23 = 13x
143 = 13x
x = 143/13
x = 11
m(KNL) = (18x - 6 + 5x + 17)
m(KNL) = 23x + 11
Plug in the value of x
m(KNL) = 23(11) + 11
m(KNL) = 264° (option A)
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Write 6 41 100 as a decimal number.
Answer:
From my calculation I think it is 6.4×10^5
It is in standard form
OR
641100÷100,000=6.411
I'm not sure yet,but you can confirm it
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\huge\textbf{Assuming:}[/tex]
[tex]\mathsf{6\dfrac{41}{100}}[/tex]
[tex]\huge\textbf{If so:}[/tex]
[tex]\mathsf{6\dfrac{41}{100}}[/tex]
[tex]\mathsf{= \dfrac{6 \times100 + 41}{100}}[/tex]
[tex]\mathsf{= \dfrac{600 + 41}{100}}[/tex]
[tex]\mathsf{= \dfrac{641}{100}}[/tex]
[tex]\mathsf{= 641\div100}[/tex]
[tex]\mathsf{= 6.41}[/tex]
[tex]\huge\textbf{Therefore, your answer should be: \boxed{\mathsf{6.41}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Solve the system of equations.
y=x²-5
y= -2x+3
A. (-2, 7) and (4,-5)
OB. (-4, 11) and (2, -1)
OC. (2,-1) and (4,-5)
OD. (-4, 11) and (-2,7)
[tex]y= x^2 -5~~~~~~...(i)\\\\y = -2x +3~~~~...(ii)\\\\\text{From (i) and (ii):}\\\\~~~~~~~~x^2 -5 = -2x+3\\\\\implies x^2 -5 +2x -3 = 0\\\\\implies x^2 +2x -8 = 0 \\\\\implies x^2 +4x -2x -8 = 0\\\\\implies x(x+4) -2(x+4) = 0\\\\\implies ( x+4)(x-2) = 0\\ \\\implies x = -4,~ x = 2\\\\\text{Substitute x = 2 in eq (ii)}:\\\\y = -2(2) +3 = -4 +3 = -1\\\\\text{Substitute}~ x = -4 ~\text{in eq (ii)}:\\\\y = -2(-4) +3 = 8 +3 = 11\\\\\text{So,} ~(x, y)=\{(2,-1), (-4,11) \}\\\\\text{Hence the answer is option B.}[/tex]
Jerry ran 4/3 of a mile in 4/18 of an hour. What was Jerry's rate of speed?
⚫️4 miles per hour
⚫️6 miles per hour
⚫️5_1/3 miles per hour
⚫️8/27 miles per hour
Answer:
B, 6 miles per hour
Step-by-step explanation:
1. 4/3 of a mile in 4/18 of an hour, rewrite as (4/3 / 4/18)
2. Dividing fractions is multiplying by the reciprocal, so (4/3 * 18/4)
3. (4/3 * 18/4 = 72/12)
4. 72/12 can be simplified to 6/1 or 6.
5. Answer is B, 6 miles per hour
Twice the difference of a number and 6 is 5
Use the variable x for the unknown number
To rewrite a word equation as a numerical equation, we can recognize certain keywords and change them into numbers or operations.
twice = multiply by 2difference = subtract'a number' = let this be xis = equalsSolving the QuestionWe're given:
Twice the difference of a number and 6 is 5To solve for x, isolate the variable:
2(x-6) = 5
2x-12 = 5
2x = 17
x = [tex]\dfrac{17}{2}[/tex]
Answer[tex]\dfrac{17}{2}[/tex]
1.4
Arrange the number of voters in 2016 - election
per province in ascending order.
5
Calculate the percentage of votes in the 2016-election that went
to "Other" in the National Results, if the total number of voters was
26 660 276.
Answer:
that would be 57
Step-by-step explanation:
because im smart
A triangle has a base of 4 m and a height of 3 m.
What is the area of the triangle?
Enter your answer in the box.
m²
Answer:
Area of the triangle is 6
Step-by-step explanation:
The formula for the area of a triangle is the base x height / 2. This means we can just plug in the variables and solve
A = b x h/2
A= 4 x 3/2
A= 12/2
A= 6
Answer: 6
Step-by-step explanation:
Area of prisim…………………
Answer:
85.2 cm^2
Step-by-step explanation:
two bases' area 2 * 15.6 = 31.2 cm^2
now add the three sides....they are all the same size
three X 6 x 3 = 54 cm^2
summed = 85.2 cm^2
→
If a graph of y=-9x + 3 were changed to a graph of y=-9x + 1, how would the
y-intercept change?
A. The y-intercept of the new graph would shift up 2 units.
B. The y-intercept of the new graph would shift down 2 units.
C. More information is needed to determine the change.
D. The y-intercept would remain the same.
Answer:
B I think..................................
A line passes through the point (-1, 8) and has a slope of 9. Can someone put that in slope intercept for
Step-by-step explanation:
[tex]y - y_1 = m.(x - x_1)[/tex]
[tex]y - 8 = 9.(x - ( - 1))[/tex]
[tex]y = 9x + 9 + 8[/tex]
[tex]y = 9x + 17[/tex]
please help will mark Brainliest!!.
please answer this question
As it is given :
Present age of mom : Present age of son = 6 : 1
Therefore let :
Mother's age be 6xSon's age be xPart two :Ages after 10 year :
Mom's age = 6x + 10Son's age = x + 10Part three :The ages after 10 years are given in rational of 8 : 3.
Which means :
Mom's age after 10 years : Son's age after 10 years = 8 :3.
Now :
[tex] \scriptsize \purple{ \boxed{ \scriptsize \dfrac{ \text{Mom's age after 10 years}}{ \text{son's age after 10 years}}= \dfrac{8}{3} }} \star[/tex]
[tex] \\ \\ [/tex]
So :
[tex] \small\sf \dashrightarrow \dfrac{6x + 10}{x + 10} = \sf \dfrac{8}{3} [/tex]
[tex] \\ \\ [/tex]
[tex] \small\sf \dashrightarrow \dfrac{3(6x + 10)}{x + 10} = \sf \dfrac{8}{1} [/tex]
[tex] \\ \\ [/tex]
[tex]\small \sf \dashrightarrow \dfrac{18x +30}{x + 10} = \sf \dfrac{8}{1} [/tex]
[tex] \\ \\[/tex]
[tex] \small\sf \dashrightarrow \dfrac{18x +30}{1} = \sf \dfrac{8(x + 10)}{1} [/tex]
[tex] \\ \\ [/tex]
[tex]\small \sf \dashrightarrow 18x +30= \sf 8(x + 10)[/tex]
[tex] \\ \\ [/tex]
[tex] \small\sf \dashrightarrow 18x +30= \sf 8x + 80[/tex]
[tex] \\ \\ [/tex]
[tex] \small\sf \dashrightarrow 18x - 8x +30= \sf 80[/tex]
[tex] \\ \\ [/tex]
[tex]\small \sf \dashrightarrow 10x +30= \sf 80[/tex]
[tex] \\ \\ [/tex]
[tex]\small \sf \dashrightarrow 10x = \sf 80 - 30[/tex]
[tex] \\ \\ [/tex]
[tex]\small \sf \dashrightarrow 10x = \sf 50[/tex]
[tex] \\ \\ [/tex]
[tex]\small \sf \dashrightarrow \dfrac{10x}{10} = \sf \dfrac{50}{10} [/tex]
[tex] \\ \\ [/tex]
[tex]\small \sf \dashrightarrow \dfrac{1\cancel0x}{1\cancel0} = \sf \dfrac{5\cancel0}{1\cancel0} [/tex]
[tex] \\ \\ [/tex]
[tex] \small\bf \dashrightarrow x = \pink 5[/tex]
[tex] \\ [/tex]
Part four :We know :
[tex] \footnotesize \hookrightarrow \sf Son's \: age = x[/tex]
[tex] \footnotesize \hookrightarrow \sf Son's \: age = \red{5 \: years}[/tex]
[tex] \\ \\ [/tex]
[tex] \footnotesize \hookrightarrow \sf Mother's \: age = 6x[/tex]
[tex] \footnotesize\hookrightarrow \sf Mother's \: age = 6 \times 5[/tex]
[tex] \footnotesize \hookrightarrow \sf Mother's \: age = \bf \red{30 \: years}[/tex]
━━━━━━❃━━━━━━And all we are done ! ㋛
~[tex]\pmb{\cal W\frak{indy}M\frak{int}}[/tex]༄what is the circumference and area of 17 diameter
Answer:
circumference: 17 x 2 = 34
Area: 3.14 x 8.5^2 = 226.865
Answer:
circumfrence: ≈53.40708 area:≈226.98007
Step-by-step explanation:
For area, the formula is A=πr^2, so first divide the diameter (17) by 2 to get the radius which is 8.5
square 8.5 and then multiply by pi
plug everything in to get ≈226.98007
For circumfrence the formula is πd, so multiply 17 by pi
plug everything in to get ≈53.40708
Serika has hired Tom to build her a dollhouse. The dollhouse will be a scale model of her home, and the scale will be 2 inches :
3 feet.
The living room in Serika’s house is 18 feet by 12 feet and has wall-to-wall beige carpeting. How many square inches of
carpeting will Tom need for the living room in Serika’s dollhouse?
Answer:
96 square inches
Step-by-step explanation:
The scale is 2 inches : 3 feet
Thus for 18 feet in Serika's real house, the model is 18 * (2"/3') = 12 inches
For 12 feet in Serika's real house, the model is 12 * (2"/3') = 8 inches
Area of carpeting needed in Serika's dollhouse = 12" * 8" = 96 square inches
(Score for Question 2: ___ of 10 points)
2. A room is shaped like a trapezoid as shown.
(a) What is the area of the room? Use the formula . Show your work.
(b) Carpet costs $8.30 per square foot. How much will it cost to carpet the room? Show your work.
(c) Furniture covers 25% of the floor. How many square feet of carpet are covered by furniture? Show your work.
(PLEASE SHOW THE WORK ON HOW TO DO IT FOR EACH ONE)
Answer:
The area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.
What is the area of trapezoid?The area of the trapezoid is the space occupied by it on the two dimensional plane. The area of this figure is half of the product of height and sum of sides.
[tex]A=\dfrac{(a+b)h}{2}[/tex]
Here, (a and b) are the base sides of the trapezoid and (h) is the height.
A room is shaped like a trapezoid which has the height of 28 feet and the length of sides as 23 ft and 35 ft. Thus, the area of it is,
[tex]A=\dfrac{(a+b)h}{2}\\A=\dfrac{(23+35)28}{2}\\A=812\rm\; ft^2[/tex]
Carpet costs $8.30 per square foot. Thus, the cost of carpet with area 812 ft² is,
C=812×$8.30
C=$6739.6
Furniture covers 25% of the floor. Thus, the remaining square feet of carpet are covered by furniture is,
[tex]A=\dfrac{25}{100}\times812\\A=203\rm\; ft^2[/tex]
Thus, the area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.
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Help. Please and thanks.
Answer:
D
Step-by-step explanation:
the other 3 options are all true.
the sum of all angles in a triangle is always 180°.
so, when T is 40°, that leaves 180-40 = 140° to the other 2 angles. in an isoceles triangle they must be equal to each other, so they are half of the remaining 140°, which is 70°.
and of course the 2 sides are equal (hence "isoceles").
