Solution:
Note that:
Given equation: x ÷ 3/7 = 7/15Simplify the given equation to solve for x.
x ÷ 3/7 = 7/15=> x × 7/3 = 7/15=> 7x/3 = 7/15=> 7x = 7/5=> 35x = 7=> x = 1/5Check:
1/5 ÷ 3/7 = 7/15=> 1/5 x 7/3 = 7/15=> 7/15 = 7/15 (True)Hoped this helped!
What is the greatest common factor of 7, 4, and 39?
Answer:
1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
1 is the greatest common factor of 7, 4 and 39
pls help me
Lena wants to rent a boat and spend at most $91. The boat costs $8 per hour, and Lena has a discount coupon for $5 off. What are the possible numbers of hours Lena could rent the boat? Use t for the number of hours. Write your answer as an inequality solved for t.
Answer:
8t - 5 ≤ 91
8t ≤ 96
t ≤ 12
Christine can spend up to 12 hours in the boat.
Please help: Use the graph of the function f to decide whether the value of the given quantity exists. (If an answer does not exist, enter DNE.)
#a
f(-2) is a vertical asymptote Doesn't exist#b
lim_x->-2(f(x))=f(-2)Doesn't exist#c
(0,1) is presentExists#d
f(0) exists#e
Yes existsCheck there is a point over x=2#f
Same like f(2)
Exists#g
f(4) not in lineDoesn't existThe only option for which the limit exist is option f, while for the other options the DNE.
How to determine limit if a limit doesn't exists ?
"If the graph has a vertical asymptote and one side of the asymptote goes toward infinity and the other goes toward negative infinity, then the limit does not exist. If the graph has a hole at the x value c, then the two-sided limit does exist and will be the y-coordinate of the hole."
Let's check the values of the given quantity exist or not. Therefore, we can write,
(a) f(-2) = DNE
(b) [tex]\lim_{x \to \--2} f(x)[/tex] = DNE
(c) f(0) = DNE because hole are exist
(d) [tex]\lim_{x \to \-0} f(x)[/tex] = DNE
(e) f(2) = DNE
(f) [tex]\lim_{x \to \-2} f(x)[/tex] = 0.5 (exist)
(g) f(4) = DNE
(h) [tex]\lim_{X \to \-4} f(x)[/tex] = DNE
Hence, the only option for which the limit exist is option f.
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PLEASE HELP ME I NEED TO DO THIS BY TODAY
Answer is median because aas you can see as the line if divided by its hald angle it equals a median angle.
ASSIGNMENT Question
A steel tape of nominal length \( 30 m \) was use d to measure a line AB by suspending it between supports. The following measurements were recorded Line. AB length measured 29.872 Slope angle 3.67° Mean temperature 5° Tension applied 120N The standardized length of the tape against reference tape was known to be 30.14m at 20°and 50.. if the tape weight 0.17Nm–¹ and has a cross sectional area of 2mm¹.. calculate the horizontal length of AB..young's modulus(E) for the tape 200knmm–² and the coefficient of thermal expansion (a) is 0.0000112 per °C
Step-by-step explanation:
That depends on the tension on the tape.
As defined, the tape, due to gravity would form a catenary, a curve, so the measurement would be less than 30 m. The tension on the tape would affect the degree to which the measurement would be less. A tension well within the limits of the steel used to make the tape would be would be well within the accuracy of the tape. Over 30 m, the tape is likely +/- 2 mm, the recorded value could be 30m, +1mm/-3mm. If you need more than that degree of accuracy, you don’t use a tape.
Allison measured a line to be 19.4 inches long. If the actual length of the line is 19.1
inches, then what was the percent error of the measurement, to the nearest tenth of a
percent?
PLZ HELP ASAP
please answer I will give brainliest
Answer: 153.86 cm²
Ok done. Thank to me :>
Perimeter of rectangle floor is 80 feet. Find the dimention of the floor if the length is four times the width
Answer:
width = 8 ft & length = 32 ft.
Step-by-step explanation:
let the width be x and length be 4x.
we know, Perimeter = 2(l+b)
now,
2(4x + x) = 80
10x = 80
x = 80/10 = 8
x = 8
therefore,
width = x = 8 ft
length = 4x = 4 × 8 = 32 ft.
hope this helps you !
order the numbers least to greatest.
Answer:
21/50 ,43.7%, 87/200,0.44
Step-by-step explanation:
If (-2, 3), (4, -3) and (4, 5) are the mid-points of the sides of a triangle, find the co-ordinates of its centroid
Answer:
[tex]G=(2,\frac{5}{3} ).[/tex]
Step-by-step explanation:
Let the given vertices of a triangle be [tex]A(-2,3)[/tex]and [tex]B (4,-3)[/tex] let the third vertex be[tex]C (4,5)[/tex].
Let Centroid be G = [tex][\frac{x_{1} +x_{2}+x_{3} }{3} , \frac{y_{1}+y_{2}+y_{3} }{3} ][/tex]
⇒ [tex]G=(\frac{-2+4+4}{3} ,\frac{3-3+5}{3})[/tex]
⇒ [tex]G=(\frac{6}{3} ,\frac{5}{3} )\\[/tex]
⇒ [tex]G=(2,\frac{5}{3} ).[/tex]
f(x) = 3x^2 - 9x + 2
What's the axis of symmetry?
What is the coordinate of the vertex?
axis of symmetry: x=1.5
vertex: (1.5,-4.75)
A car wash detailed 144 cars in 4 hours. At what rate did the car wash detail cars in cars per hour?
Answer:
If this car wash took 4 hours to detail 144. 144/4 = 1/36 meaning that every hour they would detail 36 cars, we can double-check this and multiply 36 by 4 and we will get 144 meaning that this is true and that this car wash detailed 36 cars in an hour.
Anyone can answer these questions . fast? see attachment
Answer:
x=3 and x=2
Step-by-step explanation:
21 A container in the shape of a triangular prism is used to hold a slice of pizza. The dimensions
of the container are shown in the diagram.
10.8 in.
7.2 in.
1.5 in.
PIZZA
9 in.
What is the volume of the container in cubic inches?
The volume of the triangular prism is 58.32 in³
Volume
Volume is the amount of space occupied by a three dimensional object.
The volume of a triangular prism is given by:
V = Area of triangle * height
Area of triangle = (1/2) * 10.8 * 7.2 = 38.88 in²
Volume of prism = 38.88 * 1.5 = 58.32 in³
The volume of the triangular prism is 58.32 in³
Find out more on Volume at: https://brainly.com/question/1972490
Answer:
58.32in3
Step-by-step explanation:
i did the test
I NEED HELP WITH THIS ASAP!!!
Answer:
a: 42%
b: don't have the info for
c: 48%
d: don't have info for
e: don't have info for
f: don't have info for
Step-by-step explanation:
sorry I cant answer everything
James is contemplating an investment opportunity represented by the function A(t)=P(1.06)t, where P is the initial amount of the investment, and t is the time in years. If James invests $5000, what is the average rate of change in dollars per year (rounded to the nearest dollar) between years 15 and 20?
Enter your answer as a number, like this: 42
Answer:
Rate of change per year = $5300
Step-by-step explanation:
Step 1: Substitute the variable P for the invested amount
1. A(t) = 5000(1.06)t
2. A(t) = (5300)t
Step 2: Substitute the variable t for the first 15 years
1. A(15) = (5300)(15)
2. A(15) = 79,500
Step 3: Substitute the variable t for the 20 years
1. A(20) = (5300)(20)
2. A(20) = 106,000
Step 4: Find your two ordered pairs and relation
First ordered pair: (15, 79,500)
Second ordered pair: (20, 106,000)
Relation: {(15, 79,500), (20, 106,000)}
Step 5: Find the slope or rate of change between 15 and 20 years
Let (y₁, x₁) = (15, 79,500)
Let (y₂, x₂) = (20, 106,000)
1. Use the slope expression: y₂ - y₁/x₂ - x₁
2. Substitute the correct values into the expression:
106,000 - 79,500/20 - 15
3. Simplify: 26500/5 = 5300
4. Hence, the rate of change in dollars per year is $5300
The number of eggs in the refrigerator e decreased by 2 equals 14.
Enter an equation to represent the situation.
8x-2y = 18
y = 4x - 9
Solve by substitution
Answer:
Infinitely many solutionsStep-by-step explanation:
Given system:
8x - 2y = 18y = 4x - 9Solve by substitution:
8x - 2(4x - 9) = 188x - 8x + 18 = 1818 = 18We got correct equation without variables.
It means the equation is correct for any value of variables, the lines are same and overlap.
So there are infinitely many solutions.
Simplify.
–(2x – 3y) + 5x + 2 – 3x + 3y + 2
A.
4
B.
4x + 4
C.
6y + 4
D.
4x + 6y + 4
Answer:
4x + 6y + 4
Step-by-step explanation:
–(2x – 3y) + 5x + 2 – 3x + 3y + 2
= -2x + 3y + 5x + 2 - 3x + 3y + 2
= -2x + 5x -3x + 3y + 3y + 2 + 2
= 0 + 6y + 4
= 6y + 4 (C)
Hope it helps ⚜
Answer:
D; 4x+6y+4
Step-by-step explanation:
1. Distribute the negative
2. -2×+3y+5x+2-3×+3y+2
2. combine like terms
answer; 4x+6y+4
The area of a rectangle is
5x+40ft. Factor 5X +40 feet to find the area
[tex]5x+40 = 5(x+8)[/tex]
Khan academy
The graph of the invertible function g is shown on the grid below. What is the value of g^− 1 ( 1 )
By using the graph and the definition of inverse functions, we will see that:
g⁻¹(1) = 4.
What are inverse functions?
We say that two functions f(x) and g(x) are inverse if:
f(g(x)) = xg(f(x)) = x.Now, we know that graph of g(x) and we want to find the value of:
g⁻¹(1)
In the graph, we can see that:
g(4) = 1
Then we can replace it:
g⁻¹(1) = g⁻¹( g(4) ) = 4.
So we can conclude that:
g⁻¹(1) = 4.
If you want to learn more about inverse functions, you can read:
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Answer:
-4
Step-by-step explanation:
Khan Academy
Use the number line below to fill in the blank.
3/4
I need Help ASAP I will give you brainlest and plus 5 stars ✨✨and plus thanks and 50 points EVeryONe need help this is due today so plz help me I need to turn it in today so plz help I will give everything if you do
Answer:
see step-by-step below
Step-by-step explanation:
1) y - 2 > 3
Add 2 to both sides: y > 5
2) y ≤ 2
Draw a closed circle at y = 2 then shade the numbers to the left
3) y ≥ 250
where y = savings
4) The image isn't very clear, so I can't tell if it's a closed or open circle on -4.
If it is closed, it will be y ≤ -4
If it is open, it will be y < -4
5) -4 < f
Draw an open circle at f = -4 then shade the numbers to the right
6) x < -3.5
Draw an open circle at x = -3.5 then shade the numbers to the left
7) closed circle ... shade to the left of 8 ... make y equal to or less than 8.
8) F ≤ 6
C - closed circle at 6 with shaded numbers to the left
9) y > 2.75
Betty saved more than $2.75 every month
10) 1 + x < 5
Subtract 1 from both sides: x < 4
11) x ≥ -2.5
12) 1 ≤ m means that m is equal to or greater than 1
solutions: 4, 1, 2.3
PLEASE, I NEED HELP. QUESTION WORTH 100 POINTS. FIND X
Answer:
70
Step-by-step explanation:
The angle at the bottom right of the triangle is linear with the 105, so it is 180 - 105 = 75
The top angle of the triangle is an alternate interior angle with the 35 degrees, so it is also 35.
75 + 35 = 110
x = 180 - 110 = 70
The angle above x is 35° as alternate interior angles are equal.
Angle aside right to x
180-10575°Measure of x
180-(75+35)180-11070°How are a parallelogram and a trapezoid different?
o
A. A trapezoid has only 1 pair of parallel sides, but a parallelogram has 2.
OB. A parallelogram has 4 right angles, but a trapezoid doesn't need to have 4 right angles.
OC. A parallelogram has only 1 pair of parallel sides, but a trapezoid has 2
O
D. A trapezoid has 4 right angles, but a parallelogram doesn't need to have 4 right angles.
7 of 13 Answered
View SL
Answer:
A
Step-by-step explanation:
big brain question :)
More than twenty people came to a sticker exchange. Every person brought the same number of stickers. Every person brought more than one sticker. In all, there were 141 stickers at the exchange. How many people came to the exchange?
The amount of stickers bought in the sticker exchange is an illustration of factors
There were 47 people in the sticker exchange
How to determine the number of peopleThe number of stickers is given as:
Stickers = 141
Next, we list the factors of 141 in pairs
(x,y) = (1,141), (3,47), (47,3) and (141,1)
Each person bought more than 1 sticker.
So, we have:
(x,y) = (3,47) and (47,3)
Hence, we can conclude that there were 47 people in the sticker exchange
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Guys can anyone who knows about this explain i will mark brainliest no links. thanks! :)
Answer:
PS = 7
SQ = 7.125
m<QTR = 115
m<TQR = 32.5
Step-by-step explanation:
To find PS, you need to take the measurement from QR [stated in the problem] which is 7 feet.
To find SQ, you need to take the measurement from RT [stated in the problem as 3 9/16] and then multiply it by 2 as SQ is 2 times longer than RT, which means SQ = 7 1/8 or 7.125 [since it needs to be a decimal]
To find m<QTR, you need to take the measurement from m<RTS, and since those 2 angles together equal 180, you need to subtract 65 degrees [from m<RTS] from 180, resulting in 115 degrees.
To find m<TQR, you need to know that a triangle has 180 degrees within it. Then you need to find one angle. We know the wider angle, <T = 115 degrees, so then we have to do 180 - 115, which equals 65 [that is the total for the 2 remaining equal corners], then we just have to divide by 2, which equals 32.5 degrees.
Which expression is equivalent to
128x5y6
? Assume x > 0 and y> 0.
X/y/8
Y/x/8
8/x/y
8/x/y
Answer:
D
lmk if im wrong :)
The expression 8√y/x is equivalent to the given radical expression. The correct answer would be an option (D).
What are the radical expressions?Any expression that contains a radical symbol is considered a radical expression. To find the square roots, cubic roots, and higher, radical symbols are used. For example, √7, √6, and √11 are in the radial form.
The radical expression is given as:
√(128x⁵y⁶/2x⁷y⁵) (Assume x > 0 and y> 0)
Reduce the likewise variables,
√(64y/x²)
8√y/x
Thus, the expression 8√y/x is equivalent to the given radical expression.
Hence, the correct answer would be an option (D) 8√y/x.
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The complete question is attached below.
I WILL GIVE BRAINLIEST PLS HELP
Answer: distributive property
Step-by-step explanation:
hope it helps u!!
Pls mark me brainliest
100 points and brainly if correct. Jackson made a drawing for his residence including a villa and a garden, as in the given figure. Using the scale drawing, what is the perimeter of the villa in real life?
Perimeter
[tex]\\ \tt\hookrightarrow 2(L+B)[/tex]
[tex]\\ \tt\hookrightarrow 2(6+4)[/tex]
[tex]\\ \tt\hookrightarrow 2(10)[/tex]
[tex]\\ \tt\hookrightarrow 20cm[/tex]
Scale 1cm=3m
Perimeter=20(3)=60mAnswer:
60 m
Step-by-step explanation:
Perimeter of a rectangle = 2 x width + 2 x length
From inspection of the diagram, the width of the villa is 4 cm and the length is 6 cm
Therefore, perimeter of the villa = (2 x 4) + (2 x 6) = 20 cm
We are told that there is a scale 1 cm : 3 m
This means that 1 cm = 3 m
Therefore, to convert the perimeter found in cm into meters, we need to multiply it by 3:
Perimeter = 20 x 3 = 60 m