At a candy store, Brooke bought 1
pound of jelly beans and 6 pounds
of gummy worms for $42
Meanwhile, Ken bought 5 pounds
of jelly beans and 4 pounds of
gummy worms for $54. How
much does one pound of jelly
beans and one pound of gummy
worms candy cost?

Answer:

4.086 < 5.025                 true

6.37 = 6.370                   true

64.28 > 64.281                false

11.716 < 11.708                 false

64.28 > 64.281                false

3,756.082 < 3,756.802   true

Step-by-step explanation:

First, let's define how the symbols work.

a < b  means that a is strictly smaller than b

a > b means that a is strictly greater than b

Also, for rounding up or down:

Suppose that we want to round to the second decimal after the decimal point.

Then, we need to look at the third one, if it is 5 or larger, we round up.

if it smaller than 5, we round down.

We need to see if each statement is true or not.

a) 4.086 < 5.025

This is true, the number 5.025 is larger than 4.086 (you only need to see at the units digit) So this statement is true.

b) 6.37 = 6.370

Because the third digit is equal to zero, we can round down the right number to 6.37, then the equality is true.

c) 11.716 < 11.708

11.716 is actually larger than 11.708, so this statement is false

d) 64.28 > 64.281

We have that:

64.28 + 0.001 = 64.281

Then 64.281 is larger than 64.28, so this statement is false.

e) 3,756.082 < 3,756.802

By looking at the numbers after the decimal point, we can see that the right number is larger than the left one, then the statement is true.

72 / 8 - 2 x 3 + 1 equals 1

(72 / 8) - 2 x 3 + 1 equals 4

72 / (8 - 2) x 3 + 1 equals 37

72 / (8 - 2) x (3 + 1) equals 48

Following Add-On Contains the content I think your doing:

The expressions are arranged in ascending order will be 72÷8−2×(3 + 1) > (72÷8)−2×3+1 > 72÷(8−2)×3+1 > 72÷(8−2)×(3+1).

It is the order of the numbers in which a smaller number comes first and then followed by the next number and then the last number will be the biggest one.

The expressions are given below:

72÷8−2×(3 + 1), (72÷8)−2×3+1, 72÷(8−2)×3+1, 72÷(8−2)×(3+1)

Simplify the expression, then we have

72÷8−2×(3 + 1), (72÷8)−2×3+1, 72÷(8−2)×3+1, 72÷(8−2)×(3+1)

9−2×4, 9−6+1, (72÷6)×3+1, (72÷6)×4

1, 2, 37, 48

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Answer:

mood

Step-by-step explanation:

Answer:

C. -1

Step-by-step explanation:

I calculated it logically

Answer:

-1

Step-by-step explanation:

cos = opp/hyp

At 180º

adj  = -1

hyp = 1

Cos 180 = -1/1 = -1

Answer:

8 - 12 = -4

Step-by-step explanation:

Answer:

8.

10x-1=14x-37[corresponding side of congruent triangle are equal]

37-1=14x-10x

36=4x

x=36/4

x=9

9.

6x+13=16x-7[corresponding angle of congruent triangle are equal]

13+7=16x-6x

10x=20

x=20/10

x=2

10.

8x-27=4x+33

8x-4x=33+27

4x=60

x=60/4

x=15

PQ=8×15-27=93

11.3x+5=12x-13

13+5=12x-3x

9x=18

x=18/9=2

now

<BDC=12×2-13=11

12.

5x-8=9x-28

28-8=9x-5x

4x=20

x=20/4

x=5

now

<YWX=5x-8+9x-28=5×5-8+9×5-28=34

13..5x-4=2x+5

5x-2x=5+4

3x=9

x=9/3=3

now

ML=5×3-4=11

ML=11

From new question.

Answer:

Distances:

A=1/2

B= 1

C= 3/2

Heights:

D= 1

E= 0

F= -1

Step-by-step explanation:

The distances asked in the circle are a = 1 / 2 π, b = 1π, and c = 3 / 2 π.

Distance is a numerical or occasionally qualitative measurement of how far apart objects or points are. In physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.

The complete movement of an object, regardless of direction, is referred to as distance.

The amount of ground a thing travels from its starting point to its destination is also referred to as distance.

Distance is the total movement of an object without any regard to direction. We can define distance as to how much ground an object has covered despite its starting or ending point.

Given, is a table defining the relations between the distance and the radius and time in references to a circle,

we need to find the distances, according to the question asked,

Since, we know that,

The time, t = π / 2 sec,

Also,

Calculate the distance by using the formula given below,

Distance = radius x time

So, for distance, a = 1 × π / 2 =  π / 2

for distance, b = 1 × π =  π

for distance, c = 1 × 3 π / 2 =  3 π / 2

Therefore,

We get, the distance of a = 1 / 2 pi, b = 1 pi, and c = 3 / 2 pi.

Hence, the distances asked in the circle are a = 1 / 2 π, b = 1π, and c = 3 / 2 π.

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The complete question is attached

Answer:

28.3 (b)

Step-by-step explanation:

To solve circumference, you will need to use the equation C = 2 *pi* r

for this, we will use 3.14 for pi and the radius is 4.5 so this is how we need to solve it

C= 2 pi (4.5)             Solve 2*4.5

C= 9 pi                     Now we input 3.14 for pi and multiply

C= 9(3.14)

C= 28.26                  Now we round to the nearest tenth to get

C=28.3

Answer:

D

Step-by-step explanation:

Ed2021

The series 6+2+6/9+6/27 is a required converging geometric series. Option D is correct.

Which geometric series converges is determined from the options below

a. 1/6+1/6+1/6+1/6    b. 1/6+2/6+4/6+8/6   c. 6+12+24+48  d. 6+2+6/9+6/27.

Geometric progression is a sequence of series whose ratio with adjacent values remains the same.

Options A B and C have been omitted because the series given in the corresponding option has the increasing order. Option D has a decreasing order with the common ratio between the preceeding values of the series being 1/3. Thus option D is the correct option.

Thus, the series 6+2+6/9+6/27 is a required converging geometric series. Option D is correct.

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Answer:

It would take 4 years. The formula for continuously compounded interest is: where P is the principal, r is the interest rate as a decimal number, and t is the number of years.

Step-by-step explanation:

You deposit $800 in an account that pays 3.6% annual interest compounded quarterly. after 11 years your balance first exceed $1200.

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

You deposit $800 in an account that pays 3.6% annual interest compounded quarterly.

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

[tex]1200 = 800(1 + \dfrac{3.6}{4})^{4t}\\\\300 = (1 + 0.9)^{4t}\\\\t = 11.4[/tex]

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Answer:

[tex]Width = 4ft[/tex]

[tex]Height = 4ft[/tex]

[tex]Length = 8ft[/tex]

Step-by-step explanation:

Given

[tex]Volume = 128ft^3[/tex]

[tex]L = 2W[/tex]

[tex]Base\ Cost = \$9/ft^2[/tex]

[tex]Sides\ Cost = \$6/ft^2[/tex]

Required

The dimension that minimizes the cost

The volume is:

[tex]Volume = LWH[/tex]

This gives:

[tex]128 = LWH[/tex]

Substitute [tex]L = 2W[/tex]

[tex]128 = 2W * WH[/tex]

[tex]128 = 2W^2H[/tex]

Make H the subject

[tex]H = \frac{128}{2W^2}[/tex]

[tex]H = \frac{64}{W^2}[/tex]

The surface area is:

Area = Area of Bottom + Area of Sides

So, we have:

[tex]A = LW + 2(WH + LH)[/tex]

The cost is:

[tex]Cost = 9 * LW + 6 * 2(WH + LH)[/tex]

[tex]Cost = 9 * LW + 12(WH + LH)[/tex]

[tex]Cost = 9 * LW + 12H(W + L)[/tex]

Substitute: [tex]H = \frac{64}{W^2}[/tex] and [tex]L = 2W[/tex]

[tex]Cost =9*2W*W + 12 * \frac{64}{W^2}(W + 2W)[/tex]

[tex]Cost =18W^2 + \frac{768}{W^2}*3W[/tex]

[tex]Cost =18W^2 + \frac{2304}{W}[/tex]

To minimize the cost, we differentiate

[tex]C' =2*18W + -1 * 2304W^{-2}[/tex]

Then set to 0

[tex]2*18W + -1 * 2304W^{-2} =0[/tex]

[tex]36W - 2304W^{-2} =0[/tex]

Rewrite as:

[tex]36W = 2304W^{-2}[/tex]

Divide both sides by W

[tex]36 = 2304W^{-3}[/tex]

Rewrite as:

[tex]36 = \frac{2304}{W^3}[/tex]

Solve for [tex]W^3[/tex]

[tex]W^3 = \frac{2304}{36}[/tex]

[tex]W^3 = 64[/tex]

Take cube roots

[tex]W = 4[/tex]

Recall that:

[tex]L = 2W[/tex]

[tex]L = 2 * 4[/tex]

[tex]L = 8[/tex]

[tex]H = \frac{64}{W^2}[/tex]

[tex]H = \frac{64}{4^2}[/tex]

[tex]H = \frac{64}{16}[/tex]

[tex]H = 4[/tex]

Hence, the dimension that minimizes the cost is:

[tex]Width = 4ft[/tex]

[tex]Height = 4ft[/tex]

[tex]Length = 8ft[/tex]

Step-by-step explanation:

it's just a guess but the other side of the triangle is 137 degrees

0.005m

Measuring properties of a given entity is always prone to error and hence leads to inaccuracy in the resulting measurement. One of such errors is the absolute error.

Absolute error is the difference between the actual/exact value and measured value.

The classroom has been measured to have a perimeter of 62.25m. This shows that it is accurate to 0.01 of a meter. This means that the actual measurement of the classroom could either be 0.005m more or less than the measured value.

In other words, the actual value of the classroom is

62.25 ± 0.005 m

This difference of 0.005 m gives the absolute error.

Answer:

[tex]Adam = 60[/tex]

[tex]Brandon = 66[/tex]

[tex]Chen = 74[/tex]

[tex]Damion = 75[/tex]

[tex]Erica = 75[/tex]

Step-by-step explanation:

Given

Represent each friend with the first letter of their name

So:

[tex]A + B + C =200[/tex]

[tex]B + C + D = 215[/tex]

[tex]C + D +E= 224[/tex]

[tex]A + B + C + D + E = 350[/tex]

[tex]D , E > C[/tex]

Substitute: [tex]A + B + C =200[/tex] in [tex]A + B + C + D + E = 350[/tex]

[tex]200 + D + E = 350[/tex]

Collect like terms

[tex]D + E = 350-200[/tex]

[tex]D + E = 150[/tex]

Make D + E the subject in [tex]C + D +E= 224[/tex]

[tex]D + E = 224 - C[/tex]

Substitute [tex]D + E = 224 - C[/tex] in [tex]D + E = 150[/tex]

[tex]224 - C = 150[/tex]

Collect like terms

[tex]C = 224 - 150[/tex]

[tex]C = 74[/tex]

Substitute [tex]C = 74[/tex] in [tex]A + B + C =200[/tex] and [tex]B + C + D = 215[/tex]

[tex]A + B + 74 = 200[/tex]

[tex]A + B =- 74 + 200[/tex]

[tex]A + B =126[/tex]

[tex]B + 74 + D = 215[/tex]

[tex]B + D = -74 + 215[/tex]

[tex]B + D = 141[/tex]

So, we have:

[tex]A + B =126[/tex]

[tex]B + D = 141[/tex]

[tex]D + E = 150[/tex]

We have: [tex]D , E > C[/tex]

i.e.

[tex]D , E > 74[/tex] and [tex]D + E = 150[/tex]

For [tex]D , E > 74[/tex] and [tex]D + E = 150[/tex] to be true,

[tex]D = E = 75[/tex]

i.e.

[tex]75 + 75 = 150[/tex]

So, we have:

[tex]D = 75[/tex]

[tex]E = 75[/tex]

[tex]B + D = 141[/tex]

[tex]B + 75 = 141[/tex]

[tex]B = 141 - 75[/tex]

[tex]B = 66[/tex]

[tex]A + B =126[/tex]

[tex]A + 66 = 126[/tex]

[tex]A = 126 - 66[/tex]

[tex]A = 60[/tex]

Answer:

82' is the write answer

and like the answer and follow me

Answer:

[tex]x = 73.74[/tex]°.

Step-by-step explanation:

In order to find the angle measure of [tex]x[/tex], you can use the trigonometric function sine to calculate the value of it. Sine is a trigonometric function used in right triangles to solve for the sides and angles, it states that the sine of an angle is equal to the side opposite to it divided by the hypotenuse. In this case, [tex]sin(x)=\frac{48}{50}[/tex]. If you want to isolate the variable [tex]x[/tex] on one side to calculate its value, take the [tex]sin^{-1}[/tex] or arcsine of both sides. [tex]arcsin(sin(x))=arcsin(\frac{48}{50})[/tex] ⇒ [tex]x = arcsin(\frac{48}{50})[/tex] ⇒ [tex]x[/tex] ≈ 73.74°, so that would be the correct answer.

Answer:

z=4

Step-by-step explanation:

10=z+6

10-6=z

z=4

Answer:

z = 4

Step-by-step explanation:

10 = z + 6

z = 10 - 6 = 4

I need some more letters to post

Answer:

answer is given in up paper. where ans is -1/2

Answer:

I think its

ai. fx-f3

ii. 5gx

Answer:

radius = 14.5 feet

Step-by-step explanation:

91.06 / 3.14 = diameter = 29

radius = 29/2 = 14.5 feet

Answer:

80 cups

Step-by-step explanation:

1 gallon = 128 oz

5x128= 640 oz

640/8=80

Answer:

9/22

Step-by-step explanation:

= 1 /2 − 1 /11

= 1 /2 + −1 /11

= 11 /22 + −2 /22

= 11+−2 /22

= 9 /22

(Decimal: 0.409091)

Answer:

9/22

Step-by-step explanation:

multiply 1 by 11, and get 11

multiply 1 by 2, and get 2.

Next we give both terms new denominators -- 2 × 11 = 22

11 − 2 = 9

Answer:

[tex]a =22[/tex]

[tex]b = 11[/tex]

Step-by-step explanation:

Given

See attachment for triangle

Required

Find a and b

Using cosine formula, we have:

[tex]\cos \theta = \frac{Adjacent}{Hypotenuse}[/tex]

So, we have:

[tex]\cos (30) = \frac{11\sqrt 3}{a}[/tex]

Make a the subject

[tex]a = \frac{11\sqrt 3}{\cos (30)}[/tex]

[tex]\cos(30) = \frac{\sqrt 3}{2}[/tex]

So, we have:

[tex]a = \frac{11\sqrt 3}{\frac{\sqrt 3}{2}}[/tex]

Rewrite as:

[tex]a = 11\sqrt 3 \div \frac{\sqrt 3}{2}[/tex]

This gives:

[tex]a = 11\sqrt 3 * \frac{2}{\sqrt 3}[/tex]

[tex]a = 11 * 2[/tex]

[tex]a =22[/tex]

To solve for b, we use Pythagoras theorem

[tex]a^2 = b^2 + (11\sqrt 3)^2[/tex]

[tex]22^2 = b^2 + (11\sqrt 3)^2[/tex]

[tex]484 = b^2 + 363[/tex]

Collect like terms

[tex]b^2 = 484 - 363[/tex]

[tex]b^2 = 121[/tex]

Take positive square roots

[tex]b = \sqrt {121[/tex]

[tex]b = 11[/tex]

Answer:

4 x 10^12

Step-by-step explanation:

Just subtracte the power since it is division

8- (-4)=12

Answer:

A one-sided, two-sample t-test

Step-by-step explanation:

In the context, the values of the population standard deviations are not provided, therefore we have to use the two sample t tests for the difference between the two population means. This claim for the hypothesis or the alternative hypothesis is given as the average selling price is more for the first group of the sample size of 21 as compared to the other group of the sample size of 87. Therefore, we perform an one sided test or the upper tailed test.

Answer:

401.92

Step-by-step explanation:

[tex]volume=\pi r^{2} h[/tex]

3.14 x (4x4) x 8 = 401.92

Answer:

this whole sentence confused me a lot

Step-by-step explanation:

yes there is, but it depends on how you want to do it

Answer:

I don't really get what you're implying can you please explain?

Step-by-step explanation:

haha this just really confused me :)

Answer:

part 1. -1 1/2

part 2. On letter A

Explanation:

D=0

B=-1

C=-1/2

-1 + -1/2= -1 1/2

Answer:

-1 1/2

Step-by-step explanation:

B is -1

C is -1/2

D is 0

-1 + (-1/2) = -1 1/2

Answer:

[tex]2x + 15 + x = 171 \\ 3x = 171 - 15 \\ 3x = 156 \\ \frac{3x}{3} = \frac{156}{3} \\ x = 52[/tex]

Step-by-step explanation:

i hope this is helpful