Lynn filled each of three bags with
2 kilograms 450 grams of sand. Is the
mass of 2 bags greater than or less than
5 kilograms? Explain how you know.
10

Answers

Answer 1

The mass of 2 bags, which is filled by Lynn each with 2 kilograms 450 grams of sand, is less than 5 kilograms.

How to measure the weight?

Weight measurement is the measurement of the heaviness of a object. The units of weight measurement are pounds, grams, kilograms etc.

There is total 1000 grams in one kilogram of weight measurement.

Lynn filled each of three bags with 2 kilograms, 450 grams of sand. There is total 1000 grams in one kilogram of weight measurement. Thus, the kilogram in 450 grams is,

[tex]x=\dfrac{450}{1000}\\x=0.45\rm\; kg[/tex]

Thus, weight in one bag is,

[tex]W=2+0.45\\W=2.45\rm\; kg[/tex]

The weight in two bags is,

[tex]2W=2.45+2.45\\2W=4.9\rm\; kg[/tex]

The weight of 4.9 kg is less than the 5 kilogram..

Thus, the mass of 2 bags, which is filled by Lynn each with 2 kilograms 450 grams of sand, is less than 5 kilograms.

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Related Questions

How much would you need to deposit in an account now in order to have $6000 in the account in 5 years? Assume the account earns 8% interest compounded daily.

Answers

Answer:

$[tex]\frac{6000\cdot \:365^{1825}}{365.08^{1825}}[/tex]

Step-by-step explanation:

[tex]x(1+.\frac{.08}{365})^{5\cdot \:365} =6000[/tex]

[tex]x\frac{365.08^{1825}}{365^{1825}}=6000[/tex]

[tex]x\frac{365.08^{1825}}{365^{1825}}\cdot \:365^{1825}=6000\cdot \:365^{1825};\quad \ne \mathrm{True}[/tex]

[tex]365.08^{1825}x=6000\cdot \:365^{1825};\quad \ne \mathrm{True}[/tex]

[tex]\frac{365.08^{1825}x}{365.08^{1825}}=\frac{6000\cdot \:365^{1825}}{365.08^{1825}};\quad \ne \mathrm{True}[/tex]

[tex]x=\frac{6000\cdot \:365^{1825}}{365.08^{1825}};\quad \ne \mathrm{True}[/tex]

you cannot simplify further because of the high exponents

It is simply extremely hard to do compound interest problems backwards if it gets compounded daily

Mark brainliest please!

Repost-9 TOTAL QUESTIONS
#19 (LAST PICTURE)
Which of the following shows a graph of a tangent function in the form y = atan(bx − c) + d, such that b = 2? (Two graphs below, I think one of these graphs are correct)

Answers

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 1 (#3)

The formula for a regular octagon inscribed in a circle of radius [tex]r[/tex] is [tex]A=2\sqrt{2}r^2[/tex]. Hence, [tex]A=2\sqrt{2}(4)^2=16*2\sqrt{2}=32\sqrt{2}\approx45.255m^2[/tex].

Thus, C is the correct answer

Problem 2 (#4)

Using the co-function identity [tex]\displaystyle \sin\biggr(x+\frac{\pi}{2}\biggr)=\cos(x)[/tex], the equation can be rewritten as [tex]cos(x)=\frac{\sqrt{3}}{2}[/tex]. Using a unit circle, it's easy to see that the answer is [tex]\displaystyle\biggr\{\frac{\pi}{6},\frac{11\pi}{6}\biggr\}[/tex].

Thus, C is the correct answer

Problem 3

[tex]f(x)=g(x)\\\\2\sin^2 x-1=-\cos(x)\\\\2(1-\cos^2 x)-1=-\cos(x)\\\\2-2\cos^2 x-1=-\cos(x)\\\\1-2\cos^2 x=-\cos(x)\\\\2\cos^2x-\cos(x)-1=0[/tex]

Let [tex]u=\cos(x)[/tex], hence:

[tex]2u^2-u-1=0\\\\(2u+1)(u-1)=0[/tex]

[tex]\displaystyle2u+1=0\\\\2u=-1\\\\u=-\frac{1}{2}\\ \\\cos(x)=-\frac{1}{2}\\ \\x=\biggr\{\frac{2\pi}{3},\frac{4\pi}{3}\biggr\}[/tex]

[tex]u-1=0\\\\u=1\\\\\cos(x)=1\\\\x=\{0\}[/tex]

So, the solution set is [tex]\displaystyle\biggr\{0,\frac{2\pi}{3},\frac{4\pi}3}\biggr\}[/tex]

Thus, B is the correct answer

Problem 4 (#8)

If we construct a right triangle in Quadrant I with an opposite leg length of 1 unit and an adjacent leg length of 1 unit, this shows that [tex]\displaystyle\tan\theta=\frac{opposite}{adjacent}=\frac{1}{1}=1[/tex]. Since [tex]\displaystyle \csc\theta=\frac{1}{\sin\theta}[/tex] and [tex]\displaystyle\sin\theta=\frac{opposite}{hypotenuse}[/tex], we must solve for the hypotenuse with the Pythagorean Theorem:

[tex](opposite)^2+(adjacent)^2=(hypotenuse)^2\\1^2+1^2=(hypotenuse)^2\\1+1=(hypotenuse)^2\\2=(hypotenuse)^2\\\sqrt{2}=hypotenuse[/tex]

Therefore, since [tex]\displaystyle \sin\theta=\frac{opposite}{hypotenuse}=\frac{1}{\sqrt{2}}=\frac{\sqrt{2}}{2}[/tex], then [tex]\displaystyle \csc\theta=\frac{1}{\sin\theta}=\frac{1}{\frac{\sqrt{2}}{2}}=\frac{2}{\sqrt{2}}=\frac{2\sqrt{2}}{2}=\sqrt{2}[/tex].

Thus, B is the correct answer

Problem 5 (#9)

As no angles are given and only side lengths, we are forced to use the Law of Cosines to solve for the angles:

Side "a" will be the distance from A to B with corresponding angle ASide "b" will be the distance from B to C with corresponding angle BSide "c" will be the distance from C to A with corresponding angle C

Angle A:

[tex]a^2=b^2+c^2-2bc\cos(A)\\400^2=500^2+600^2-2(500)(600)\cos(A)\\160000=250000+360000-600000\cos(A)\\160000=610000-600000\cos(A)\\-450000=-600000\cos(A)\\\frac{3}{4}=\cos(A)\\ A\approx41.410^\circ[/tex]

Angle B:

[tex]b^2=a^2+c^2-2ac\cos(B)\\500^2=400^2+600^2-2(400)(600)\cos(B)\\250000=160000+360000-480000\cos(B)\\250000=520000-480000\cos(B)\\-270000=-480000\cos(B)\\\frac{9}{16}=\cos(B)\\B\approx55.771^\circ[/tex]

Angle C:

By the Triangle Angle-Sum Theorem, [tex]C\approx82.819^\circ[/tex]

Hence, we can conclude that angle A is the smallest angle the swimmers must turn between the buoys.

Thus, C) 41.410° is the correct answer

Problem 6 (#unknown)

As we are given two angles and a side length, we can use the Law of Sines to find side length "b". Firstly, we need angle C so we can set up the proportion to find "b". By the Triangle Angle-Sum Theorem, [tex]m\angle C=60^\circ[/tex].

[tex]\frac{\sin(B)}{b}=\frac{\sin(C)}{c}\\\\\frac{\sin(64^\circ)}{b}=\frac{\sin(60^\circ)}{8}\\\\8\sin(64^\circ)=b\sin(60^\circ)\\\\b=\frac{8\sin(64^\circ)}{\sin(60^\circ)}\\ \\b\approx8.303[/tex]

Thus, B is the correct answer (how ironic lol)

Problem 7 (#13)

[tex]\displaystyle\sqrt{2}\cos2x=\sin^2x+\cos^2x\\\\\sqrt{2}\cos2x=1\\\\\cos2x=\frac{1}{\sqrt{2}}\\\\\cos2x=\frac{\sqrt{2}}{2}\\ \\2x=\frac{\pi}{4},\frac{7\pi}{4}\\ \\x=\frac{\pi}{8},\frac{7\pi}{8}[/tex]

Hence, B is the correct answer

Problem 8 (#14)

[tex]\displaystyle \sec\theta=2\\\\\frac{1}{\cos\theta}=2\\ \\\cos\theta=\frac{1}{2}\\ \\\theta=\frac{\pi}{3}+2\pi n,\frac{5\pi}{3}+2\pi n[/tex]

Thus, D is the correct answer

Problem 9 (#19)

The bottom graph looks correct as the period of the tangent function is [tex]\frac{\pi}{|b|}=\frac{\pi}{2}[/tex].

Rubin has 6 rolls of pennies containing 50 coins each, 5 rolls of nickels
containing 40 coins each, 4 rolls of dimes containing 50 coins each, and 3
rolls of quarters containing 40 coins each. How much money does he have?
A. $68.40
B. $63.00
C. $8.20
D. $17.50

Answers

Answer:

300 cents in pennies

1000 cents in nickles

2000 cents in dimes

3000 cents in quarters

the answer would be B. 63.00

FIND THE AREA PLEASE HELP ILL GIVE BRAINLIESTTTT

Answers

Answer:

53.2 square feet

638.4 square inches

Step-by-step explanation:

The formula for area of parallogram is l x w.

91.2 inches to feet is 7.6 feet.

7.6 is the width and 7 is the length.

7.6 x 7 = 53.2

THIS IS MY SISTER LAST QUESTION TAKE YOUR TIME1

Answers

Answer:

B

Step-by-step explanation:

[tex][(8+15) \times 3] \div 3\\= \frac{(8+15) \times 3}{3}\\= \frac{8 + 15}{1}\\= 8 + 15 = 23[/tex]

Michael stacks 14 identical disks to form a cylinder. Each disk is 1/4 inch thick. The diameter of each disk is 3 inches. Which measurement is closest to the volume, in cubic inches of the stack of disks? 7 99 396 25

Answers

87 bc I so smirks h h h h. He h h h h h h h h h h h h

i need help this exact minute
no fake answers, seriously no.

Answers

Answer:

h is the horizontal translation

k is the vertical translation

a is the stretch parallel to the y-axis

Step-by-step explanation:

Parent equation:  [tex]y=x^2[/tex]

Translate [tex]h[/tex] units right:  [tex]y=(x-h)^2[/tex]

(if [tex]h < 0[/tex], then the translation is [tex]h[/tex] units left)

Stretched parallel to the y-axis by a factor of [tex]a[/tex]:  [tex]y=a(x-h)^2[/tex]

(if [tex]a < 0[/tex], the graph is also reflected in the x-axis)

Translated k units up:  [tex]y=a(x-h)^2+k[/tex]

(if [tex]k < 0[/tex] then the translation is k units down)

Example attached for [tex]y=2(x-3)^2+4[/tex]

What is the length of AB?

Answers

Answer:

10

Step-by-step explanation:

AB²=8²+6²

=64+36

=100

AB=10

Answer:

10 units

Step-by-step explanation:

Pythagorean Theorem:

a² + b² = c²

6² + 8² = c²

c = √100

10 units

BRAINLIEST please if this helped!

Can someone help with this​

Answers

Answer:

Step-by-step explanation:

Find the horizontal asymptotes by comparing the degrees of the numerator and denominator.

Vertical Asymptotes:

x=1

Horizontal Asymptotes:

y=0

No Oblique Asymptotes

PLEASE HELP ASAP, WILL GIVE BRAINLIEST IF CORRECT

Which line best represents the line of best fit for this scatter plot? Graph shows numbers from 0 to 10 at increments of 1 on the x axis and numbers from 0 to 18 at increments of 2. Scatter plot shows ordered pairs 1, 2 and 2, 6 and 3, 4 and 4, 10 and 5, 8 and 6, 8 and 7, 12 and 8, 10 and 9, 12 and 10, 14. A line labeled P joins ordered pair 0, 2.4 and 9, 18. A line labeled Q joins ordered pairs 0, 2.4 and 10, 18. A line labeled R joins ordered pairs 0, 2.4 and 10, 13.6. A line labeled S joins ordered pairs 0, 2.4 and 10, 10.

Line P
Line Q
Line R
Line S

Answers

Answer:

Line R

Step-by-step explanation:

The graph shown compares the number of pages of the same book read by Emily and Serena over time.

How many minutes after Serena started reading would the number of pages read by them be equal?


Answers

Using linear equations, the number of minutes that both would read for them to read equal number of pages is: 30 minutes.

What is the Equation of a Linear Graph?

Equation of a linear graph is given as, y = mx + b, where m and b are the slope and y-intercept of the graph respectively.

Equation for Emily's graph:

Slope (m) = rise/run = 1/3

y-intercept (b) = 2

Substitute m = 1/3 and b = 2 into y = mx + b

y = 1/3x + 2

Equation for Serena's graph:

Slope (m) = rise/run = 2/5

y-intercept (b) = 0

Substitute m = 2/5 and b = 0 into y = mx + b

y = 2/5x + 0

y = 2/5x

To find how many minutes for both of them to read the same number of pages, make both equations equal to each other.

2/5x = 1/3x + 2

2/5x - 1/3x = 2

1/15x = 2

Multiply both sides by 15

x = (2)(15)

x = 30

The answer is 30 minutes for both to read the same number of pages.

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Brenya Estate produces a high quality tea branded Super by blending three types of tea coded A, B and C in the ration 1½ : 5 : 1. Originally Type A tea costs GHS 1,600 type B costs GHS 800 and type C costs GHS 1,700 per Kg to produce. Brenya Tea Estate packs Super tea in packets of 825g each. Blending and packing costs are 40 per Kg. Determine the production cost for a packet of Super tea.

Answers

Therefore, the production cost for a packet of Super tea is $923.91.

Cost calculation

Since Brenya Estate produces a high quality tea branded Super by blending three types of tea coded A, B and C in the ration 1½ : 5 : 1, and originally Type A tea costs GHS 1,600 type B costs GHS 800 and type C costs GHS 1,700 per Kg to produce, and Brenya Tea Estate packs Super tea in packets of 825g each. Blending and packing costs are 40 per Kg, to determine the production cost for a packet of Super tea, the following calculation must be made:

Blending ad packing costs = 40 x 0.825 = 331.5 + 5 + 1 = 7.57.5 = 1001.5 = X1.5 x 100 / 7.5 = 207.5 = 1005 = X5 x 100 / 7.5 = 66.66100 - 66.66 - 20 = 13.3333 + (1600 x 0.2 x 0.825) + (800 x 0.6666 x 0.825) + (1700 x 0.1333 x 0.825) = X33 + 264 + 439.96 + 186.95 = X923.91 = X

Therefore, the production cost for a packet of Super tea is $923.91.

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Find the value of each determinant:
Help!

Answers

Answer:

Matrix  1:  -4269

Matrix 2:  1768

Matrix 3:  647.3561

Step-by-step explanation:

Matrix 1: [tex](7*19)-(31*142)=-4269[/tex]

Matrix 2:  1768

[tex]\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right][/tex]

Determinant = [tex]a(ei-fh)-b(di-fg)+c(dh-eg)[/tex]

Matrix 3:  647.3561

[tex]\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right][/tex]

Determinant = [tex]a(ei-fh)-b(di-fg)+c(dh-eg)[/tex]

Please help me with this question​

Answers

Applying the formula for the area of a sector and length of an arc, the value of k is calculated as: 27.

What is the Area of a Sector?

Area of a sector of a circle = ∅/360 × πr²

What is the Length of an Arc?

Length of arc = ∅/360 × 2πr

Given the following:

Radius (r) = 9 cmLength of arc = 6π cmArea of sector = kπ cm²

Find ∅ of the sector using the formula for length of acr:

∅/360 × 2πr = 6π

Plug in the value of r

∅/360 × 2π(9) = 6π

∅/360 × 18π = 6π

Divide both sides by 18π

∅/360 = 6π/18π

∅/360 = 1/3

Multiply both sides by 360

∅ = 1/3 × 360

∅ = 120°

Find the area of the sector:

Area = ∅/360 × πr² = 120/360 × π(9²)

Area = 1/3 × π81

Area = 27π

Therefore, the value of k is 27.

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Abby has 2.28 pounds of meat. She uses 0.19 pound of meat to make one hamburger. How many hamburgers can Abby make with the meat she has

Answers

Answer: Abby would be able to make 12 hamburgers.

Step-by-step explanation:

You have to divide 2.28 and 0.19 and you would get 12 so the answer is 12.

What is the surface area of the cylinder with height 4 km and radius 5 km?

Answers

The answer would 282.74km²

A theater has 1200 seats. Each row has 20 seats. Write and solve an equation to find the number x of rows in the theater.

An equation that represents this problem is
=1200.

There are
? rows in the theater.

Answers

I believe the answer is 60
1200 divided by 20=60

Find f(-3) when f(x) = 2x2 + 3x + 5

Answers

Answer:

-4

Step-by-step explanation:

Answer: If f(x) = -x2 - 3x + 5, then the value of f(-3) is -4.

Answer:

f(-3) = 14

Step-by-step explanation:

f(-3) just means to fill in -3 for x.

2x^2 + 3x + 5

becomes

2(-3)^2 + 3(-3) + 5

Exponent first.

2(9) + 3(-3) + 5

Multiplication

18 + -9 + 5

Add.

14

6
Select the correct answer.
Which of the following is a non-real complex number?
OA. 9-
А.
-
5 — 2√7
4
ОВ.
O C.
-8√ - 3/12
OD.
3√² + √

Answers

Answer:

D

Step-by-step explanation:

In order to find a non-real number we look for a part of the expression that cannot exist.

Answer choice D stands out as you cannot take a square root of a negative number.

That's our answer!

Option D is correct,  the given number 3√(7/5) + √-(9/5)  is a  non real complex number.

What are Complex Numbers?

The complex number is basically the combination of a real number and an imaginary number.

3√(7/5) +√(-9/5) is a non real complex number

We know that a+ib is a complex number where a is real number and b represents the imaginary number

3√(7/5) +√i²(9/5)

3√(7/5) + i√9/5 it is in the form of a+ib.

where a is 3√(7/5) and b is √9/5

3√(7/5) + √-(9/5) is non real complex number

Hence, among the given numbers 3√(7/5) + √-(9/5)  is a  non real complex number.

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A. Transform F using the rule (x, y) → (-x, y) (1 pt.)
B. Describe the transformation precisely. (1 pt.)
C. Does the transformation result in a a congruent figure? (1 pt.)

Answers

Answer:

A: (-3,4) (-3,6) (-5,6) (-7,4)

B: The transformation would be described as a reflection over the y axis

C:  The transformation does result in a congruent figure because the shape doesn't change in size or shape and in length or width

Step-by-step explanation:

So our plots from the figure are: (3,4)  (3,6)  (5,6)  (7,4)

So using the rule (x, y) → (-x, y) are new points would be:

(-3,4)

(-3,6)

(-5,6)

(-7,4)

This rule (x, y) → (-x, y) is used for the type of transformation that is a reflection but over the y axis.

Is the discriminant of g positive, zero, or negative?

Answers

Answer:

the discriminant of g positive

Step-by-step explanation:

the discriminant of g positive because the graph of g cross the x-axis in two points.

what is the mean for 1500 338 588 850

Answers

Answer:

819

Step-by-step explanation:

The mean is the average. Add up all the values and then divide that by the total amount of values. 1500+338+588+850=3276. 3276/4=819.

Two adjacent angles form a straight angle. Which term best describes these two angles?

1. Supplementary angles.

2. Vertical angles.

3. Corresponding angles.

4. Complementary angles.

Answers

the answer would be supplementary angle, as an angle is supplementary when the measurements add up to 180 degrees

Levi has a fish tank that holds
8 gallons of water. He wants to fill it
so it is only 3/4 full. How much water,
in gallons, should Levi put in the fish
tank? Explain.

Answers

Answer:

6 gallons because 3/4 is the same as 6/8 so therefore 6 gallons would be 3/4 full

The amount of water in gallons in the fish tank is A = 6 gallons

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

If Levi wants to fill the fish tank so it is only 3/4 full, then he only needs to fill it with 3/4 of its total capacity.

A = (3/4) x 8

On simplifying the equation , we get

A = 6 gallons

Hence , Levi should put 6 gallons of water in the fish tank to fill it to 3/4 of its total capacity

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The best translation for Zimbabwe is:
A. The Temple of God
B. The Ruler on High
C. The House of Rock
D. The Children of the Sun

Answers

Answer:

Zimbabwe is a Bantu word for stone houses so the answer is C

A rental car company charges $31.91 per day to rent a car and $0.07 for every mile
driven. Hudson wants to rent a car, knowing that:
• He plans to drive 100 miles.
• He has at most $70 to spend.

Answers

Answer:

1.97 day; 1 day.

Step-by-step explanation:

0.07*100 = 7

31.91x - 7 = 70

70 - 7 = 63

31.91x = 63

63 / 31.91 = 1.97

Hudson can afford to drive the car for 2 days and stay under his budget.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

We know that it costs $0.07 for every mile driven and we plan to drive 100 miles, that means we can set the inequality as:

31.91x + 0.07(100) ≤ 70

31.91x + 7 ≤ 70

Rearranging the inequality so we have the variable isolated on one side, we get:

31.91x ≤ 63

Divide both sides by 31.91 to get x alone.

x ≤ 1.97430

x ≤ 2

From obtaining the solution, Hudson can afford to drive the car for 2 days and stay under his budget.

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The question seems incomplete, the complete question would be as:

A rental car company charges $31.91 per day to rent a car and $0.07 for every mile driven. Hudson wants to rent a car, knowing that:

• He plans to drive 100 miles.

• He has at most $70 to spend.

Which inequality can be used to determine, the maximum number of days Hudson can afford to rent for while staying within his budget?

Katy has a choice. She can buy a book of 6 round trip bus tickets from
Houston to Austin for a total of $522 or she can buy a book of 9 round trip
bus tickets from Houston to Austin for a total of $702. Which is the better
deal? Why?

Answers

Answer:

buying a book of 9 round trip bus tickets from Houston to Austin for a total of $702 is a better deal because 702/9 = 78 which is less than 522/6 = 87

Step-by-step explanation:

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

27°

Step-by-step explanation:

SOH CAH TOA

sinx = opposite/hypotenuse

sinx = 10/21  ≈ 0.47619047619 radians

0.47619047619 · (180/π)

≈ 85.71/π

≈ 27°

BRAINLIEST please if this helped!

than 100 inches.
8 feet 6 inches
8 feet
0000
3 yards
2 yards 19 inches

Answers

Yo your question is extremely un readable but im gonna assume you are asking what is more than a hundred inches

8 feet 6 inches = 104 inches

8 feet = 96 inches

3 yards = 108 inches

2 yards 19 inches =  91 inches

A rectangular prism is shown.




What is the volume, in cubic MILLIMETERS, of the rectangular prism

Answers

Answer:

1974 mm^3

Step-by-step explanation:

The formula to find the volume of a rectangular prism/cuboid: l x w x h, where l is the length, w is the width and h is the height.

1) Input the values into the formula and solve it.

= 47 x 14 x 3

= 1974 mm^3

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