17. A cereal company fills every box with 48 ounces of cereal. The company allows
each box of cereal to be within a tolerance of 0.5 ounces. What is an expression
for the actual weight of the boxes?

Answer:

-6

Step-by-step explanation:

2x + 3(8) = 12

2x + 24 = 12

2x = 12 - 24

2x = -12

x = -12/2

x = -6

Answer:

The answer is "1110, 20.4, and 31.408"

Step-by-step explanation:

For point a:

Given:

[tex]\to mean\ ( \bar{x})=1051\\\\\to standard \ deviation \ (\sigma)=194\\\\\to P(Z<=z)=0.62\\\\\to z=0.3055\\[/tex]

Calculating the SAT score:

[tex]=1051+0.3055 \times 194 \\\\ =1110.267 \approx 1110[/tex]

For point b:  

Given:

[tex]\to mean \ \bar{x}=19\\\\ \to standard \ deviation \ (\sigma) =4.7\\\\[/tex]

Calculating the equivalent ACT score:

[tex]=19+0.3055 \times 4.7 \\\\ =20.43585 \approx 20.4[/tex]  

For point c:

[tex]\to SAT \ Score =1563\\\\\to z=\frac{(1563-1051)}{194}= \frac{512}{194}=2.64\\\\[/tex]

Calculating equivalent ACT score:

[tex]=19+2.64 \times 4.7 \\\\=31.408[/tex]

Answer:

13 petunias

Step-by-step explanation:

13x7=91

9x8=72

add them and you get 163

Answer:

The slope is -3

Step-by-step explanation:

The formula is y= mx + b

m = slope

b=  y intercept

Therefore, the slope is -3

Answer:

6ft

Step-by-step explanation:

Lets x = the width of the path the surrounding path will add 2x to the pool dimension,therefore over all dimesion: (2x+40) by (2x+60) the overall perimeter (2x + 40) + 2(2x+60) = 248 Simplify divide by 2, result (2x+40) +(2x+60) = 124

Combine like terms 2x + 2x +40 +60 =124

4x + 100 = 124

4x=124 = 100

4x=24

x=24/4

x= 6ft is the width of the path

check this by finding the perimeter with these values; 2x = 12 ft

2 ( 12 + 40 ) + 2( 12 +60 )

2( 52 + 2(72)

104 + 144 = 248; confirms our solution of x= 6 ft

Answer:

f^-1(x)=1/4x+2

Step-by-step explanation:

y=4x-8

change x and y

x=4y=8

switch sides

4y-8=x

add 8

4y=x+8

divide both sides by 4

y=1/4x+2

substitute f^-1(x) for y

f^-1(x)=1/4x+2

Answer:

karlee has 28 pencils in her 4 pencil packs

Answer:

Its 28

Step-by-step explanation:

because it is

Answer:

(3×25)÷5=15

hope it helps you

please mark me as brainlist

Answer:

15

Step-by-step explanation:

first, you add all the marbles 25 x 3 = 75 then you divide by 5 which you get 15

Answer:

c

Step-by-step explanation:

Answer:

45 degrees each and 90 degrees

Answer:

m=-25

Step-by-step explanation:

m=Δh/Δt

(Im choosing for the difference in height and time (Δh and Δt) to be the difference between the data in the first two rows)

m=(4500-5000)/(20-0)

m=-500/20

m=-25

4/5 z = 2/7

7×4×z = 2× 5 (move the denominator of both fractions to the other side)

28z = 10

z = 10 ÷ 28

z = 5/14

Answer: The answer your looking for is 5/14

Step-by-step explanation: You want to leave the variable alone, so you divide both sides by 4/5. If you divide 2/7 by 4/5, you get 5/14.

Answer:

so for each group just multiply the number of socks in each group to 5 and = s

so

1. s = 4x5

s = 20

Step-by-step explanation:

A. S/5; when S=20, the number of socks in each group is 4.

Answer:

It's A

Step-by-step explanation:

Answer:

14 days

Step-by-step explanation:

you just do 56/4=x, x=14

Answer:

Step-by-step explanation:

Let's solve your equation step by step:

Step 1: Simplify both sides of the equation.

x-3/4+2/3=17/12

x+-3/4+2/3=17/12

(x)+(-3/4+2/3)=17/12 (Combine like terms)

x+-1/12=17/12

Step 2: Add 1/12 to both sides

x+-1/12+1/12=17/12+1/12

x=3/2

Can you delete my comment? I made a mistake-

Sally's books = 21

Sam's books

= 24 times Sally's books

= 24 times 21

= 24 × 21

= 504

Answer:

I chose a box of cereal-------> rectangular prism

see the attached figure

Part 1)List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).

Length: 20 cm

Width: 8 cm

Height: 32 cm

Part 2).

Describe the shape of the cross-section when the box is cut parallel to the base

the shape of the cross-section would be a rectangle of dimensions

20 cm x 8 cm

Part 3)

What is the surface area of the box?

surface area=2*area of the base+perimeter of the base*height

area of the base=20*8=160 cm²

perimeter of the base=2*[20+8]-----> 56 cm

height=32 cm

surface area=2*160+56*32------> 2,112 cm²

the answer part 3) is

2,112 cm²

Part 4)

What is the surface area of the box if it is scaled up by a factor of 10?

we know that

surface area of the larger box=[scale factor]²*surface area original box

scale factor=10

surface area original box=2,112 cm²

so

surface area of the larger box=10²*2,112-----> 211,200 cm²

the answer part 4) is

211,200 cm²

Part 5)

What is the volume of the box?

volume of the box=L*W*H-----> 20*8*32------> 5,120 cm³

the answer Part 5) is

5,120 cm³

Part 6)

What is the volume of the box if it is scaled down by a factor of 1/10

we know that

volume of the smaller box=[scale factor]³*volume original box

scale factor=1/10

volume original box=5,120 cm³

so

volume of the smaller box=[1/10]³*5,120-----> 5.12 cm³

the answer part 6) is

5.12 cm³

Step-by-step explanation:

Answer:

541/2 square

Step-by-step explanation:

we know that

the volume of the smaller box=[scale factor]³*volume original box

scale factor=1/10

volume original box=5,120 cm³

so

volume of the smaller box=[1/10]³*5,120-----> 5.12 cm³

the answer part 6) is 541/2 square

Answer:

its 12 in mathematics....

Answer:

C is the answer not sure

Step-by-step explanation:

Answer:

we get 180 minutes; this is equivalent to 3 hours

Step-by-step explanation:

Solving this problem is easier if we convert 2 hr 30 min to min:  150 min.

In the ratio 6:5, the 5 represents the 150 min and we need to determine how long the time interval will be if increased in this ratio.

We write and solve an equation of ratios:

6        x

--- = ------                          This becomes 5x = 900 through cross multiplication.

5     150

solving this for x, we get 180 minutes; this is equivalent to 3 hours.

The time taken should be 180 minutes or 3 hours.

Since there is an increase of 2 hours 30 minutes by the ratio of 6:5​

So here we convert 2 hr 30 min so it comes 150 min.

Now the time taken should be

5x = 900

x = 150 minutes

hence, The time taken should be 180 minutes or 3 hours.

Learn more about time here: https://brainly.com/question/15844891

Answer:

5×20 = 5×2×_

100 = 10×_

100 = 10 × _10_

ans 10

Answer:

140

Step-by-step explanation:

35 x 4= 140

Answer: the answer is B.

Step-by-step explanation:

The correct equation which reveals the maximum height reached by the model rocket is,

h = - 16 (t + 4)² - 304

What is Quadratic equation?

An equation of order 2 in highest variable is called a Quadratic equation.

Given that;

The equation is,

H = -16t² + 128t + 48

Now, The equation which reveals the maximum height reached by the model rocket is find as;

H = -16t² + 128t + 48

h = -16(t² + 8t) + 48

h = -16 (t² + 8t) + 256 - 256 + 48

h = -16 (t² + 8t + 16) + 256 + 48

h = -16 (t + 4)² + 304

Thus, The correct equation which reveals the maximum height reached by the model rocket is,

h = - 16 (t + 4)² - 304

Learn more about the quadratic equation visit:

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Answer:

p(A) + p(B)

Step-by-step explanation:

Probability is the ratio of the number of possible outcome to the number of total outcome. The probability of an event happening or another is the sum of the individual probabilities.

As such, if A and B are two events, the probability of occurrence of either A or B is given as

= p(A) + p(B)

where p(A) and p(B) are the probabilities of A happening and B happening respectively.

Answer:

Step-by-step explanation:

According to www.cliffsnotes.com it says: The derivative of a function may be used to determine whether the function is increasing or decreasing on any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I.

Hope this helps!!

Step-by-step explanation:

C

good luck

:) :) :) :) :) :) :)

The value of x and y are respectively, 30°, 60°. So option C is correct.

Trigonometry is a branch of mathematics, which deals with the study of right angle triangles. Trigonometry is concerned with specified functions of angles and their applications to calculations.

There are 6 commonly used functions in trigonometry with their name and abbreviations-

sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), cosecant (cosec)

If sin(x) = cos(y), then x and y must satisfy the following relationship:

sin(x) = cos(90 - x)

So, x and 90 - x must both be in the range of 0 to 90 degrees, or x must be in the range of 0 to 45 degrees.

Therefore, the only possible values of x and y that satisfy this relationship are:

x = 30 degrees and y = 60 degrees

Thus, the value of x & y are 30° & 60°

To know more about trigonometry check:

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