Step-by-step explanation:
floor = 12*10= 120 sq ft
rug = r² = 9 Пr2
120-9π = 91.74 sq ft
Which is a correct first step in solving 5 – 2x < 8x – 3?
5 < 6x – 3
3x < 8x – 3
5 < 10x – 3
2 – 2x < 8
Answer:
5 < 10x - 3
Step-by-step explanation:
5 - 2x < 8x - 3
Add '2x' to both the sides
5 - 2x + 2x < 8x + 2x - 3
5 < 10x - 3
It takes Priti 4 hours to drive from Ashdown to Bridgeton at an average speed of 50 mph. She then drives 30 miles from Bridgeton to Carton at an average speed of 40 mph. Assuming Priti doesn't stop, what is her average speed from Ashdown to Carton to 1 dp?
Answer:
Her average speed from Ashdown to Carton is approximately 48.4 mph
Step-by-step explanation:
The time and speed of the motion of Priti are as follows;
The time it takes Priti to drive from Ashdown to Bridgeton, t₁ = 4 hours
The average speed she drove from Ashdown to Bridgeton = 50 mph
The distance she drove from Bridgeton to Carton, d₂ = 30 miles
Her average speed from Bridgeton to Carton = 40 mph
The distance from Ashdown to Bridgeton, d₁ = 50 mph × 4 hours = 200 miles
The time it takes Priti to drive from Bridgeton to Carton, t₂ = 30 miles/(40 mph) = 0.75 hour
Average velocity, [tex]v_{ave}[/tex] = (Total distance traveled, Δd)/(Total time, Δt)
Δd = d₁ + d₂, Δt = t₁ + t₂
Δd = 200 miles + 30 miles = 230 miles
Δt = 4 hours + 0.75 hour = 4.75 hours
∴ The average velocity, [tex]v_{ave}[/tex] = (230 miles)/(4.75 hours)
∴ [tex]v_{ave}[/tex] = (920/19) mph
Her average speed from Ashdown to Carton, rouded to 1 d,p, [tex]v_{ave}[/tex] ≈ 48.4 mph
Which statement can be represented by the equation 18 divided by m = 7.2?
A number, m, less than 18 is seven point two.
Eighteen decreased by a number, m, is seven point two.
A number, m, divided by 18 is seven point two.
Eighteen divided by a number, m, is seven point two.
Answer:
A number,m,is seven point two . Eighteen divided by a number,m,is seven point two
Answer:
its c
Step-by-step explanation:
just to make it easier for you:)
25 is a perfect square. Which of the following is a perfect cube?
[A] 1
[B] 4
[C] 16
[D] 36
Answer:
the perfect cube is [A] 1
Help with this question.
128³÷128²+272²+272³
128+272=400÷128*272=400
400÷400=1
25=125^k find the value of k
Answer:
2/3
Step-by-step explanation:
25=125^k
5^2=5^3k
2=3k
k=2/3
The value of k is k = 2/3.
What is an exponent?The number of times a number is multiplied by itself is referred to as an exponent.
Given that, [tex]25 = 125^k[/tex].
Follow the steps to find the value of k:
[tex]25 = 125^k\\\\5^2=(5^3)^k\\\\5^2=5^{3k}[/tex]
Since the base of the exponents is the same, it follows:
2 = 3k
k = 2/3
Hence, the value of k is k = 2/3.
Learn more about exponents here:
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what function is shown in the table
The number of boysin a club is 48 and the number of girls is 20. Express this ratio in its simplest form
Answer:
the ratio is 12:5
Step-by-step explanation:
48:20 divided in half 24:10 divided in half 12:5
Which ordered pair is a solution of the equation! Pic below! PLEASE HELP
Answer:
C
Step-by-step explanation:
[tex]5x+y=-23[/tex]
Graph it and see which plots are on the line:
-3, -4 is not.
-5, -3 is not.
-4, -3 is.
-3, -5 is not.
PLEASE HELP!!! I have 7 minutes to awnser this
Answer: It's A
Step-by-step explanation:
Extend the sequence and then complete the
statements.
А
A (blank) is an ordered list of numbers that can
form a pattern.
А (blank)
is an element in a sequence.
You can (blank)
a sequence by finding and writing
more terms.
The next term in the sequence is A = (blank)
Answer:
l
Step-by-step explanation:
A sequence is an ordered list of numbers.....
A term is an element in a sequence.
You can expand a sequence by finding and writing....
The next term in the sequence is A = (general term)
Sidney bought 18 toy cars. The cars came in p packages. Write an expression that shows
how many toy cars were in each package.
Answer:
[tex]\frac{18}{p}[/tex]
Step-by-step explanation:
(a²+b²)= hihihihihihihihi
Answer:
? This isn't a problem
Step-by-step explanation:
What's the area of the shaded region?
Answer:
99cm²
Step-by-step explanation:
Area of shaded region=(area of outer rectangle)-(area of inner triangle)
Area of shaded region=(L×W)-(bh/2)
=(12×10)-((6×7)/2)
=120-(42/2)
=120-21
=99cm²
A 2km long stretch of road needs to be resurfaced. The width of the road is 8.3m. Model this stretch of road as a rectangle.Work out the area of road that needs to be resurfaced in metre squared. Resurfacing this road costs £30 per square metre What is the total cost to resurface this road?
1 km = 1000 meters
2 km = 2 x 1000 = 2,000 meters
Area = length x width
Area = 2,000 x 8.3 = 16,600 square meters
Cost:
Multiply total area by cost per square meter:
16,600 x 30 = £498,000
3) Find the volume of the figure below. Round to the tenth place
A battery with a voltage of 3 V provides a voltage of 0.56 C to some circuits. Calculate the electrical power provided by this battery
Answer:
The power is 1.68 W.
Step-by-step explanation:
Voltage, V = 3 V
charge, q = 0.56 C
time, t = 1 s
Let the power is P.
P = V q /t
P = 3 x 0.56 / 1 = 1.68 W
Twice a number is 16 greater than two times the opposite of the number. What is the number
Answer:
4
Step-by-step explanation:
Let's say our number is n.
First, we have two times a number. This can be represented by 2 times our number, n, or 2*n
Next, we have that is 16 greater than ... It is hard to conceptualize what 2*n is 16 greater than, so we can move on and save this for later.
Furthermore, we have two times the opposite of the number. Opposite represents the opposite side of a number line, e.g. if the number was 5, the opposite would be -5. This can be represented by multiplying our number n by -1, or -1 * n = -n. We then take two times of this opposite, or 2 * -1 * n = -2 * n.
So far, we have 2*n is 16 greater than -2 * n. We can then say that if a first number is 16 greater than a second number, we must add 16 to the second number to get the first number. Applying that here, we can say that 2*n = -2*n + 16
We then have
2*n = -2*n + 16
We then want to separate the n from the real number(s) (16 in this case). To do that, we can add 2*n to both sides, making our equation
2*n+2*n = 16
4*n = 16
Then, we can finally divide both sides by 4 to get
n = 4
Given: Angle T S R and Angle Q R S are right angles; Angle T Is-congruent-to Angle Q Prove: Triangle T S R Is-congruent-to Triangle Q R S Triangles T S R and Q R S share side S R. Angles T S R and S R Q are right angles. Angles S T R and S Q R are congruent. Step 1: We know that Angle T S R Is-congruent-to Angle Q R S because all right angles are congruent. Step 2: We know that Angle T Is-congruent-to Angle Q because it is given. Step 3: We know that Line segment S R is-congruent-to line segment R S because of the reflexive property. Step 4: Triangle T S R Is-congruent-to Triangle Q R S because of the ASA congruence theorem. of the AAS congruence theorem. of the third angle theorem. all right triangles are congruent.
Answer:
Its b on edge
Step-by-step explanation:
yes
The Triangle TSR ≅ QRS by AAS congruence, the correct option is B.
What is a Triangle?A triangle is a polygon with three sides, vertices and three angles.
The triangle TSR and QRS are right-angle triangles, in a right angle triangle one of the angle is equal to 90 degree,
'These triangles have to be proved congruent,
They both have the right angle.
The measure of Angle T = Angle Q,
They both have a common side,
So, they both are congruent by AAS congruence theorem.
To know more about Triangle
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Which equation represents a line which is parallel to the line
X + 6y = -24?
Answer:
y = -(1/6)x - 6
Step-by-step explanation:
slope intercept form is
y = mx + b
m is the slope
b is the y-intercept
---------------------------
x + 6y = -24
Subtract x from both sides
6y = -x - 24
Divide both sides by 6
y = -(1/6)x - 4
slope = -1/6
-----------------------------
Parallel lines have the same slope
therefor the parallel line is
y = -(1/6)x - 6
Which expression is equivalent to 3 sqrt32x8y10?
O 4x2y3(3 sqrt2x2y)
O 2x4y5(3 sqrt4)
O 2x2y3(3 sqrt4x2y)
O 4x4y5(3 sqrt2)
Answer: [tex]2x^{2} y^{3} (\sqrt[3]{4x^{2} y} )[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{32x^{8} y^{10} } =\sqrt[3]{2^{3} \cdot 2^{2} \cdot x^{2} \cdot (x^{2} )^{3} \cdot y \cdot (y^{3})^{3} } =2x^{2} y^{3} (\sqrt[3]{4x^{2} y} )[/tex]
Answer:
Option C :
[tex]\sqrt[3]{32x^8y^10} = 2x^2 y^3 \sqrt[3]{4x^2 y}[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{32x^8y^{10}}} = ( 32 x^8 y^{10})^{\frac{1}{3}}[/tex]
[tex]= ( 2^5 \times x^8 \times y^{10})^{\frac{1}{3}}\\\\= ( 2^{5\times\frac{1}{3}} \times x^{8 \times \frac{1}{3}} \times y^{10 \times \frac{1}{3}})\\\\=(2^{\frac{3}{3} + \frac{2}{3}}} \times x^{\frac{6}{3} + \frac{2}{3}} \times y^{\frac{9}{3} + \frac{1}{3}})\\\\= 2 \times 2^{\frac{2}{3}} x^2 \times x^{\frac{2}{3}} \times y^3 \times y^\frac{1}{3}\\\\=2x^2 y^3 \times 2^{\frac{2}{3} \times }x^{\frac{2}{3}} \times y^{\frac{1}{3}}\\\\=2x^2 y^3 (2^2x^2 y)^{\frac{1}{3}}\\\\= 2x^2y^3 \ \sqrt[3]{ \ 4 x^2 \ y }[/tex]
The polynomial function 1x) = 5x^5+16/5x-3
is graphed below
Which is a potential rational root of f(x) at point P?
can someone help me find what a,b and c are?
Answer:
7 < 8.5 < 9
Step-by-step explanation:
Well < and > mean greater and less than so put it from the smallest to the largest
A city has a population of 300,000 people. Suppose that each year the population grows by 4.5% . What will the population be after 8 years?
Answer:
population=300,000
population size per year=4.5%
population size for 8 years=8 × 4.5%
=0.36
=108000
A dress that costs $66.99 is on sale for 1/5 off. What is the sale price of the dress? Round your answer to the nearest cent.
Answer:
Step-by-step explanation:
The formula to figure this out is
[tex]C=66.99(1-.2)[/tex] where .2 is 1/5 in decimal form. What this means is that you may be saving 1/5 but you're still spending 4/5.
C = 66.99(.8) so
Cost = $53.59
jessica's piggy bank has 100 coins, including pennies, nickels, dimes and quarters/ together they are worth $8.36. there are nine more dimes than pennies and five times as many nickels as pennies. How many of each kind of coin does jessica have in her piggy bank?
Answer:
the bank contains 30 nickels and 70 dimes.
Step-by-step explanation:
Combine these radicals. -6v100 + V36
Answer:
-54
Step-by-step explanation:
[tex]-6\sqrt{100} +\sqrt{36}[/tex]
-6 * 10 + 6
-60 + 6
= -54
100 = 50 *2
= 25 * 2 * 2
= 5 * 5 * 2 * 2
= [tex]5^{2} *2^{2}[/tex]
5 * 2 = 10
~~~~~~~~~~
36 = 6 * 6 = 3 * 3 * 2 * 2 = 3^2 ^ 2^2
3*2 = 6
Will mark brainliest
Answer:
the answer would be 270
Step-by-step explanation:
i can explain later:
since x = 5, you plug it in f = 4x +7, and you get f = 27 and since 1/2x is in the denominator, it will flip over and become 2x. 2x is 10, so you multiply f by g and get 270 which is if f/g(5) is the question.
Consider the sequence 2/4, 3/5, 4/6, 5/7,... Which statement describes the sequence?
The sequence diverges.
The sequence converges to 0.
The sequence converges to 1.
The sequence converges to [infinity].
Answer:
The sequence converges to 1.
Step-by-step explanation:
Sequence 2/4, 3/5, 4/6, 5/7
This sequence can be summarized as:
[tex]\sum_{n=0}^{\infty} \frac{n+2}{n+4}[/tex]
To test if it converges, we can calculate the limite of [tex]\frac{n+2}{n+4}[/tex] as n goes to infinite.
Limit:
[tex]\lim_{n \rightarrow \infty} \frac{n+2}{n+4}[/tex]
Considering only the terms with the highest exponent in the numerator and the denominator:
[tex]\lim_{n \rightarrow \infty} \frac{n+2}{n+4} = \lim_{n \rightarrow \infty} \frac{n}{n} = \lim_{n \rightarrow \infty} 1 = 1[/tex]
Thus, the sequences converges to 1.
Find the circumference of the circle. Round your answer to the nearest
hundredth.
Answer:
[tex]circumference = 25.13 \ cm[/tex]
Step-by-step explanation:
[tex]circumference = 2 \pi r = 2 \pi 4 = 8 \pi =25.13 \ cm[/tex]