Two consecutive whole numbers that √46 lies between are 6 and 7.
The given surd is √46.
We need to find two consecutive whole numbers that √46 lies between.
What are consecutive whole numbers?Numbers that follow each other in a regular counting order or pattern are called consecutive numbers. They are written in a series where the difference between the numbers is fixed and where no numbers are skipped in between.
Now, 46 is lies between the perfect squares 6²=36 and 7²=49.
Therefore, two consecutive whole numbers that √46 lies between are 6 and 7.
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Gabriel drives 80 kilometers in one hour. if he drives at the same speed, how many kilometers can he drive in 3.75 hours?
the nutritional chart on the side of a box of cereal states that there are 93 calories in a 3/4 cup serving how many calories are in 5 cups of cereal
5 / 3/4 = 5/1 * 4/3 = 20/3 = 6 2/3
6 2/3 * 93 = 20/3 * 93/1 = 1860/3 = 620 calories
Which equation represents a linear function that has a slope of 4/5 and a y-intercept of –6?
Answer:
y = 4/5x-6
Step-by-step explanation:
Edge 2020
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A commuter has $245 in his commuter savings Account. This account changes by -$15 each week he buys a ticket.
A- if the account changes by -$240, for how many weeks of tickets did the commuter buy?
B- if the commuter wants to buy 20 weeks of tickets, how much must he add to his accoumt?
John and Jim painted a
fence John painted 1/4 of the fence and Jim painted 5/12 of the fence how much of the offense did they paint total
Which transformation can verify congruence by sliding one triangle over another
What symbol is greater than
Highlighter pens cost $3.86 per set at an office supply store. Which equation can be used to determine the price, P, of n sets of these pens? n = 3.86P P equals 3.86 over n n equals 3.86 over P P = 3.86n
Is it possible for two different inputs to give you the same output? Justify your answer please.
x-1=5x+3x-8
help this confused child
The graph below shows a system of equations:
Draw a line labeled y equals 2x minus 5 by joining the ordered pairs 0, negative 5 and 4, 3. Draw a line labeled y equals negative x minus 2 by joining the ordered pairs negative 3,1 and 3, negative 5
The x-coordinate of the solution to the system of equations is __________.
The x-coordinate of the solution to the system of equations is 1 unit.
What is a system of equations?"A 'system' of equations is a set or collection of equations that you deal with all together at once. Linear equations (ones that graph as straight lines) are simpler than non-linear equations, and the simplest linear system is one with two equations and two variables."
"A solution for a single equation is any point that lies on the line for that equation. A solution for a system of equations is any point that lies on each line in the system."
Since, the given equation are
[tex]y = -x - 2[/tex] ----------------------- eq 1
and [tex]y = 2x - 5[/tex] -------------------eq 2
now solving them,
subtracting eq 2 from eq 1
we get,
3x = 3
x = 1 and y = -3
Hence, the x-coordinate of the solution to the system of equations is 1 and y coordinate is -3.
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A kite’s diagonals WY and ZX intersect at point V. Which of the following are true? Select all that apply.
1.)∠WVX = 90°
2.)∠ZVY = 90°
3.)WY is parallel to ZX
4.)WY is perpendicular to ZX
5.)WY = ZX
Answer: The correct options are
(1)∠WVX = 90°,
(2) ∠ZVY = 90°
and
(4) WY is perpendicular to ZX .
Step-by-step explanation: Given that WY and ZX are the diagonals of a kite that intersect at the point V.
We are to select the correct statements from the given options.
KITE: A quadrilateral having adjacent sides congruent and the diagonals bisect each other perpendicularly.
As shown in the attached figure, WY and ZX are the diagonals of the kite WZYX.
Since WY and ZX intersect at the point V, so they will bisect each other perpendicularly.
That is, WY is perpendicular to ZX. And, also
∠WVZ = ∠WVX = ∠ZVY = ∠XVY = 90°.
Since WZ is perpendicular to ZX, so they cannot be parallel.
Also, since the diagonals of a kite may not be equal, so WY ≠ ZX.
So, options (3) and (5) are incorrect.
Thus, the correct options are
(1)∠WVX = 90°,
(2) ∠ZVY = 90°
and
(4) WY is perpendicular to ZX .
What is twice 2 to the 30 power? Write in exponents. Explain your reasoning
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The dot plot shows how many attempts it took for each student to complete a puzzle:
Is the median or the mean a better measure of center for these data and why?
Mean, because the data are skewed and there are outliers
Mean, because the data are symmetric and there are no outliers
Median, because the data are skewed and there are outliers
Median, because the data are symmetric and there are no outliers
Answer: Mean, because the data are symmetric and there are no outliers.
Step-by-step explanation:
The given dot plot shows how many attempts it took for each student to complete a puzzle.
From the given dot plot, we observe that it has no outlier and the data is symmetric.
Therefore , the mean is a better measure of center for these data because mean the data are symmetric and there are no outliers .
"If a data is skewed or has outliers, then we choose median to measure the center of data over mean."
34 + 2 ⋅ 5 = ____. (Input whole numbers only.)
best answer gets BRAINIEST!!!!!!
Find an equation in standard form for the hyperbola with vertices at (0, ±10) and asymptotes at y = ±5/6x.
How can x + 3 = −2x + 5 be set up as a system of equations
Find the percent of discount. Round to the nearest tenth. original price $24,365; selling price $16,820
Answer:
The percentage of discount is 31.0 % ( approx )
Step-by-step explanation:
Given,
The original price = $ 24,365
Selling price = $ 16,820
Thus,
[tex]\text{The percentage of discount}=\frac{\text{Original-Selling price}}{\text{Original price}}\times 100[/tex]
[tex]=\frac{24365-16820}{24365}\times 100[/tex]
[tex]==\frac{7545}{24365}\times 100[/tex]
[tex]=\frac{754500}{24365}[/tex]
[tex]=30.9665503796\%[/tex]
[tex]\approx 31.0\%[/tex]
At a snack shop, Julie bought 1/3 of a pound of jelly beans for three quarters. What is the unit price of jelly beans at the snack shop?
Calculate the average of 7081 and 8890
The average of 7081 and 8890, is 7985.5.
Calculating the Average
To calculate the average of two numbers, you add the numbers together and then divide the sum by 2.
Here are the steps:
Add the numbers: 7081 + 8890Sum: 15971Divide the sum by 2: 15971 / 2Result: 7985.5Therefore, the average of 7081 and 8890 is 7985.5.
A wooden plank of length x is cut into 8 sections such that each section is at most 2 1/2 meters long. What is the length of the entire plank in meters?
The Game Room Of The youth center needs carpet . Sweat T found that the room Measures 12 Inches by 8 inches on the blueprint of The Scale of The Blueprint is 1 inch To 3 feet , what is the actual area of the game room
what is an equivalent ratio
Two ratios that are equivalent means that they are equal to each other.
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A sporting goods store buys a basketball for $15.00 and then adds a 75% markup to the price. How much will the basketball sell for in the store?
Using synthetic division, how do you know if a given value is a root of a polynomial function?
Final answer:
A given value is a root of a polynomial function if, after using synthetic division, the remainder is zero. The remainder is found in the last position of the bottom row after performing synthetic division with the given value.
Explanation:
To determine if a given value is a root of a polynomial using synthetic division, follow these steps:
Write down the coefficient of the polynomial.
Place the value you want to test for being a root (let's call it 'c') to the left of the coefficients.
Bring down the leading coefficient to the bottom row.
Multiply 'c' by the value you just brought down and write the result underneath the second coefficient.
Add the second coefficient to the product you just wrote down and write the sum in the bottom row.
Repeat the multiplication and addition process until you reach the end of the row.
If the last number in the bottom row, which represents the remainder, is zero, then 'c' is a root of the polynomial. If the remainder is not zero, 'c' is not a root.
Understanding how to perform such operations is essential, especially when dealing with complex equilibrium problems where square roots, cube roots, or higher roots come into play. If unsure about carrying out these operations, particularly on a calculator, it is advisable to seek assistance from your instructor.
Which scenario best matches the linear relationship expressed in the equation y = 32x + 80? (4 points)
a. Joseph has $80 in his bank account and spends $32 each day.
b. Joseph has $80 in his bank account and earns $32 each day.
c. Joseph had $32 in his bank account and deposited another $80.
d. Joseph has $32 in his bank account and earns $80 each day.
heartbeat takes 0.8 seconds.how many seconds is this written as a fraction?
find the greatest common factor of each set of numbers 24,30,42