Answer:
x > 34
Step-by-step explanation:
Let x be the width of the picture frame
It then follows that the length = x + 7
Therefore, our inequality is:
[tex]2(x+7) +2x > 150\\2x+14+2x > 150\\4x > 136\\x > 34[/tex]
For all values of x greater than 34 the perimeter is greater than 150 inches.
Answer:
x is greater than 34 inches.
Step-by-step explanation:
Let x = width, then the length = x+7 inches.
Perimeter = 2(W + L) = 2(x + x + 7) = 4x + 14 , so:
4x + 14 > 150
4x > 150 - 14
4x > 136
x > 34.
Flynn has $4 worth of quarters.
How many quarters does Flynn have?
4 quarters
16 quarters
40 quarters
80 quarters
Answer:
16 quarters
Step-by-step explanation:
4 x 4 = 16
$1 = 4 quarter
Flynn has 16 quarters.
The measures of the interior angles of a quadrilateral are 2x + 10, 3x, 3x + 5, and 5x + 20. What is the measure of the largest angle?
Answer:
Step-by-step explanation:
Finding the angles of quadrilateral:
Sum of all angles of quadrilateral = 360
2x + 10 + 3x + 3x + 5 + 5x +20 =360
2x + 3x + 3x + 5x + 10 + 5 + 20 = 360
Combine like terms
13x + 35 = 360
Subtrace 35 from both sides
13x = 360 - 35
13x = 325
Divide both sides by 13
x = 325/13
x = 25
5x +20 = 5*25 +20
= 125 +20
= 145°
Measeure of largest angle : 145°
9 was the wrong answer what is the real answer to this problem
Answer:
Step-by-step explanation:
First find the volume of the Cylinder, plug in the Radius (3), and the height (14) into the formula.
V= 3 x (3 squared) 9 x 14
V of Cylinder = 378 cm^3
V of Cone use the formula given,
V = [tex]\frac{3*9*5}{3}[/tex]
V = 45 cm^3
Add them together and you get 423 cm^3
Felix buys five vests for $22 each, three pairs of shoes for $50 each, and six hats for $17 each.
What is the mean amount that he spent?
$34.62
$32.81
$25.86
$22
If n is proportional to M squared and n) 27 when m=3 what is the formula for n in terms of M and what is the value of n given m=6
Answer:
n=9M, when m is 6,n=18
Step-by-step explanation:
If n is proportional to M
n=kM
27=3k
k=27/3
k=9
the formula on terms of n and M is
n= 9M
2) If m= 6,
n= 3M
n=3(6)
n=18
Answer:
n = 108
Step-by-step explanation:
given n is proportional to m² then the equation relating them is
n = km² ← k is the constant of proportion
to find k use the condition n = 27 when m = 3 , then
27 = k × 3² = 9k ( divide both sides by 9 )
3 = k
n = 3m² ← equation of proportion
when m = 6 , then
n = 3 × 6² = 3 × 36 = 108
Select the reason that best supports Statement 6 in the given proof.
Answer: D. Subtraction property of equality
Step-by-step explanation:
They are subtracting 6 from both sides of the equality.
What additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS? Check all that apply. ∠Z ≅ ∠G and XZ ≅ FG ∠Z ≅ ∠G and ∠Y ≅ ∠E XZ ≅ FG and ZY ≅ GE XY ≅ EF and ZY ≅ FG ∠Z ≅ ∠G and XY ≅ FE
Answer:
∠Z ≅ ∠G and XZ ≅ FG or ∠Z ≅ ∠G and XY ≅ FE are the additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS.
The additional information to prove that ΔXYZ ≅ ΔFEG using ASA or AAS
is ∠Z ≅ ∠G and XY ≅ FE
Option E is the correct answer.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
ΔXYZ ≅ ΔFEG
We see that,
∠X and ∠F are equal
To prove that ΔXYZ ≅ ΔFEG using ASA or AAS.
We need one more congruent angle and one corresponding side.
∠Z ≅ ∠G and XY ≅ FE can be used to prove this.
Now,
∠X = ∠F (angle) (given)
∠Z ≅ ∠G (angle)
XY ≅ FE (side)
ΔXYZ ≅ ΔFEG
Thus,
The additional information is:
∠Z ≅ ∠G and XY ≅ FE
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ2
What is the value of x in trapezoid ABCD?
OX=15
OX-20
OX=45
OX=60
Answer:
15.
Step-by-step explanation:
1) property:
m(∠B)+m(∠D)=180°;
2) according to the property:
3x+9x=180°; ⇒ x=15°
The value of x is 15 degree in the trapezoid ABCD.
What is Quadrilateral?A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles
A trapezoid is a quadrilateral with one pair of opposite sides parallel.
ABCD is a trapezoid.
We have to find the value of x in the given quadrilateral.
The sum of opposite angles of a quadrilateral is 180 degrees.
m(∠B)+m(∠D)=180°
From the figure m(∠B) is 3x and m(∠D) is 9x
3x+9x=180°
Combine the like terms
12x=180
x=15 degrees.
Hence, the value of x is 15 degree in the trapezoid ABCD.
To learn more on Quadrilateral click:
https://brainly.com/question/29934440
#SPJ5
HELPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
Set 1: 6
Set 2: 4.5
Step-by-step explanation:
To find the mean you would add them all up and divide by the total number of points, found by counting the x's. You have one 4; three 5's, two 6's, three 7's, and one 8. You would then add this up. This adds up to 60, and there are 10 points. The mean for set one is 6.
Repeat this process for set b. For this one you would get 4.5
What is the least common multiple of 23, 39, and 8? Sum
does anyone know this
Answer:
7176
Step-by-step explanation:
23 is a prime factor.
3 & 13 are the prime factors of 39.
2, 2, & 2 are the prime factors of 8.
Determine the max. number of times each prime factor occurs.
Calculate: 2^3 x 3 x 13 x 23 = 7176
Answer:
7,176
Step-by-step explanation:
The LCM of these numbers is found when you multiply the three numbers together: 23*39*8 = 7,176
Hope this helps!
Find the areas of these polygons
The population of a town is expected to grow by 6% each year.
In 2017 the population was 27,000.
What will the be population in 2018?
Answer:
28620
Step-by-step explanation:
→ Find the multiplier
( 100 + 6 ) ÷ 100 = 1.06
→ Multiply by the original amount
27000 × 1.06 = 28620
Generalize How do the graphs of the solutions of inequalities involving greater than (>) and greater than or equal to (2) compare?
Three students rotate the given figure around the origin.
Byron rotates the figure 90° clockwise.
Gaven rotates the figure 90counterclockwise.
Hollie rotates the figure 180°
Drag the result of each student's rotation into the table
Answer: It is the third to the top
Step-by-step explanation:
90's block each other out add you rotate it 180 degrees you get this.
The rule for the nth term of a sequence is 5n + 16
Find the 10th term of the sequence.
Answer:
66
Step-by-step explanation:
It's given that
Tn = 5n + 16
The 10th term is
T10 = 5(10) + 16
= 66
The 10th term of the sequence is 66.
What is Sequence?In mathematics, a sequence is a list of numbers arranged in a specific order. Each number in the sequence is called a term. Sequences can be finite, meaning they have a specific number of terms, or they can be infinite, continuing indefinitely.
We have the rule: 5n + 16
Now, To find the 10th term of the sequence, we can substitute n = 10 into the given rule:
5n + 16 = 5(10) + 16 = 50 + 16 = 66
Therefore, the 10th term of the sequence is 66.
Learn more about Sequence here:
https://brainly.com/question/28889988
#SPJ2
Question 2 Which relationship is NOT a function?
Answer:
Top left optionStep-by-step explanation:
According to definition of the function, each input must have exactly one output.
One of the given relationships - T-shirt prices reveals two outputs.
All the rest show one-to-one relationship.
A. >
B. <
C. =
D. none of the above
Answer:
[tex]3.14 \times 10 ^{3} < 2.6 \times 10^{3} [/tex]
Step-by-step explanation:
[tex]3.14 \times 10 ^{3} [/tex]
[tex]3140[/tex]
[tex]2.6 \times 10 ^{4} [/tex]
[tex]26000[/tex]
The 400-meter race times recorded in the boys track meet was normally distributed with a standard deviation of 3 seconds If David finished the race in 51.2 seconds with a -score of -2.6 , what was the mean time ?
Answer:
7AM was 8PM for a few days but 3the 3only 3and 3and 3and 3was is a little too much to me because I am not a fan of the cold and cold 4th
the diagram shows the cross-section of a wall of a cinema.
Answer:
280 m²£133Step-by-step explanation:
The area of the wall is the sum of the areas of the different sections of the wall. The cost to paint it will be the product of the cost of a tin of paint and the number of tins required.
__
Here, the shape of the wall can be divided into two trapezoids and a rectangle. Each shape has a corresponding area formula. Left-to-right, their areas are ...
Left Trapezoid
A = 1/2(b1 +b2)h
A = 1/2(10 m +11 m)(4 m) = 42 m²
Middle Rectangle
A = LW
A = (13 m)(11 m) = 143 m²
Right Trapezoid
A = 1/2(b1 +b2)h
A = 1/2(11 m +8 m)(10 m) = 95 m²
Wall Area
The total area to be painted is the sum of the above areas:
total area = 42 m² +143 m² +95 m² = 280 m²
The area that needs to be painted is 280 m².
__
A tin of paint covers 15 m², so the number of tins needed is ...
(15 m²)t = 280 m²
t = 280/15 = 18 2/3 . . . . . . divide by the coefficient of t
We can only buy whole tins, so we need to buy 19 tins. Their cost will be ...
(£7 /tin)(19 tins) = £133
It will cost £133 to paint the wall.
The radius of a circle is 12.7 ft. Find the circumference
to
the
nearest
tenth
to the nearest tenth.
Answer:
79.8
Step-by-step explanation:
Please help the answer options are
1 mph
1 hour per mile
2mph
2 hours per mile
Answer:
I am positve it 2mph
Step-by-step explanation:
becuase for evry hr u drive 2 miles
Ben makes orange paint by mixing red, yellow and white paint in the ratio 20 : 16 : 1.5. how much of each colour does he need to make 1.5 litres of orange paint?
Answer:
0.8L = red
0.64L = yellow
0.06L = white
Step-by-step explanation:
R : Y : W
20 : 16 : 1.5
20 + 16 + 1.5 = 37.5
1.5 ÷ 37.5 = 0.04
0.04 × 20 = 0.8L = red
0.04 × 16 = 0.64L = yellow
0.04 × 1.5 = 0.06L = white
The problem is on the screenshot
Answer:
x=1 y=4
x=2 y=7
x=3 y=10
Step-by-step explanation:
To find the answer, you have to plug in the x-value for the equation to find y.
You will then find out that every time x increases by 1, y increases by 3.
The flight of javelin released 6.5 feet from the ground at an initial velocity of 68 feet per second is modeled by the function h=-16^2+6.5 where h is the height of the javelin in feet after r seconds . Determine how many seconds it will take the javelin to reach the maximum height and find the maximum height. Round to the nearest hundredth if necessary
Using the vertex of the quadratic equation, it is found that a maximum height of 78.75 feet is reached after 2.13 seconds.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]
Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, the height is modeled by:
h(t) = -16t² + 68t + 6.5.
The coefficients are a = -16, b = 68, c = 6.5, and the vertex will be given by:
[tex]x_v = -\frac{b}{2a} = -\frac{68}{-32} = 2.13[/tex]
[tex]y_v = -\frac{b^2 - 4ac}{4a} = -\frac{68^2 - 4(-16)(6.5)}{-64} = 78.75[/tex]
A maximum height of 78.75 feet is reached after 2.13 seconds.
More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967
This question, please!!!
Box of candy contains 0.6 of a pound of caramels 3.6 pounds of coconut What percent the contents of the box, by weight consist of caramels?
Answer:
14.28%
Step-by-step explanation:
I'm not sure if it's right but this is how I worked it out,
the box's contents are 4.2 pounds in total,
therefore in a fraction it would be 6/42
you turn a fraction into a percentage you do the numerator divided by the denominator
6÷42=0.142857(decimal form)
now you just turn it into a percentage
14.28%
please correct me if I'm wrong
Find the area of a regular decagon (10 sides) with perimeter 100 units. Show all work
Answer:
What's the complex name
Pd(co2) (me3p)2
9cm
7 cm
9cm
8cm
Olivia goes to Egypt and saw a model of
irged it using a scale factor of 1.2. What
ne new triangle pyramid?
6 cm
6 cm
Answer:
6 * 1.2 = 7.2
7 * 1.2 = 8.4
8 * 1.2 = 9.6
now find the Area and Perimeter of the enlarged triangle:
A = 1/2bh
A = 1/2 * 9.6 * 8.4
A = 40.32
P = a + b + c
P = 7.2 + 7.2 + 9.6
P = 24
So, the Area is 40.32 and the Perimeter is 24.
write a word phrase that means the samme as x/4
What is Limit of 4 Superscript x Baseline cosine (pi x) as x approaches negative 2?
–16
–8
StartFraction 1 Over 16 EndFraction
StartFraction 1 Over 8 EndFraction
Answer: Choice C
The fraction 1/16
In other words the "StartFraction 1 Over 16 EndFraction"
=============================================================
Work Shown:
[tex]\displaystyle L = \lim_{x \to -2}4^x\cos(\pi x)\\\\\\L = 4^{-2}\cos(\pi (-2))\\\\\\L = \frac{1}{4^2}\cos(-2\pi)\\\\\\L = \frac{1}{16}\cos(2\pi)\\\\\\L = \frac{1}{16}(1)\\\\\\L = \frac{1}{16}\\\\\\[/tex]
The limit of the function f(x)=[tex]4^{x}[/tex]cos(πx) is 1/16 which is start fraction 1 over 16 end fraction.
What is limit of function?The limit is the extent to which the value of function exists.
How to find limit of function?The function which is given is f(x)=[tex]4^{x}[/tex]cos(πx) and we have to find the limit of f(x).
L.H.L of f(x)
[tex]\lim_{x \to \-2} 4^{x}cos([/tex]πx)
Put x=-2-h
[tex]\lim_{h \to \0} 4^{-2-h}cos([/tex]π(-2-h)
put h=0
=[tex]4^{-2} cos(2[/tex]π)
=[tex]4^{-2}*1[/tex] {cos(2π)=1}
=1/16
R.H.L of f(x)
[tex]\lim_{x \to \-2} 4^{x}[/tex] cos(πx)
Put the value of x=-2+h
=[tex]\lim_{h \to \0}4^{-2+h}[/tex] cos{π(-2+h)}
Put the value of h=0
=[tex]4^{-2}*cos(2[/tex]π)
=1/16
L.H.L=R.H.L
Hence the limit of the function [tex]4^{x}cos([/tex]πx) is 1/16.
Learn more about limit at https://brainly.com/question/27517662
#SPJ2
A bag contains an unknown number of marbles. You know that P(red) = 1 and P(green) = 1. What can you conclude about how many marbles are in the bag?
The number of marbles in the bag illustrates probability
The conclusion about the number of marbles in the bag is that the bag can only contain one type of marble
The number of marbles in the bag?The probabilities are given as:
P(Red) = 1
P(Green) = 1
For a distribution, the sum of all probabilities must equal to 1.
This means that:
P(Red) + P(Green) = 1
So, we have:
1 + 1 = 1
This gives
2 = 1
The above equation is false because 2 does not equal to 1.
So, the conclusion about the number of marbles in the bag is that the bag can only contain one type of marble i.e. either red marbles are in the bag or blue marbles are in the bag
Read more about probability at:
https://brainly.com/question/251701