8. A bag contains 72 toffees. How many toffees can be stored in 122 such bags? Estimate the number of toffees to nearest tens.
9.The working of a metro station is controlled by 28 persons. Estimate the number of persons required to control the working of 88 such stations to the nearest tens.

Answers

Answer 1

Answer:

8.) 8,780 toffees can be stored in 122 such bags.

9.) 2,460 people are required to control the working of 88 such stations.

Step-by-step explanation:

QUESTION 8:

We know that there are 72 toffees per bag

So if we want to know how many toffees can be stored in 122 such bags:

72 x 122 = 8,784

ROUND IT TO THE NEAREST TENS:

Look at the digit to the right of the tens place: 8,784–>4. 4 and below means that the digit will be repkaced by 0 and the tens place remains the same.

So 8,784 rounded to tens is 8,780

Tye answer for question 9 is

2,460 (do the same thing)


Related Questions

plsssss help it’s timed!!!!!!

Answers

Answer:

the answer to this question is 36.86989°

Graph the Image of AKLM after a translation 1 unit left and 7 units up.​

Answers

You are basically just moving the graph as a whole, so k will be at (3.10), m will be at (1,6) and l will be at (7,10)

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Pick a point (such as K, L, or M). Count one grid square to the left and 7 up. That is its new location.

Which of the following best represents the relationship between functions f and g?
g(x) = -f(x) - 1
g(x) = f(x - 1)
g(x) = -f(x) + 1
g(x) = -f(x)

Answers

9514 1404 393

Answer:

  (c)  g(x) = -f(x) +1

Step-by-step explanation:

We really only need to consider one point on f(x) and/or g(x). We can look at the y-intercepts.

  f(0) = 4  and  g(0) = -3

Looking at the answer choices, we see ...

  A. -f(0) -1 = -4 -1 = -5 ≠ g(0)

  B. f(0 -1) = f(-1) = 1 ≠ g(0)

  C. -f(0) +1 = -4 +1 = -3 = g(0) . . . . . matches requirements

  D. -f(0) = -4 ≠ g(0)

The relation between f(x) and g(x) is g(x) = -f(x) +1.

Perform the indicated operation.
(7 - 11) + (-3+51

Answers

Step-by-step explanation:

(7-11)+(-3+51)

(-4)+(48)

44 ans

Answer:

44

Step-by-step explanation:

7-11= -4

-3+51=48

-4+48=44

HW HELP ASAP PLZZZZZ

Answers

Hello,

3x³a + 3x²a²

common factor : 3x²a

3x³a + 3x²a²

= 3x²a * x + 3x²a * a

= 3x²a(x + a)

:-)

Step-by-step explanation:

hope this will help you more

find the value of c to the nearest tenth​

Answers

9514 1404 393

Answer:

  x ≈ 9.3

Step-by-step explanation:

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(50°) = 6/x

Solving for x gives ...

  x = 6/cos(50°) ≈ 9.3343

  x ≈ 9.3

__

There is no 'c' to find the value of.

Answer:

x ≈ 9.3

Step-by-step explanation:

Since , this is right triangle, we can use trigonometry functions;

cos θ = Adjacent side / Hypotenuse

Where, θ = 50°

Hypotenuse = xAdjacent side = 6

Solve for x

cos 50° = 6 / x

Multiply both side by x

cos 50° × x = 6 / x × x

cos 50° × x = 6

divide cos50° by both sides

cos 50° / cos 50° × x = 6 / cos 50°

x = 6 / cos 50°

x ≈ 9.33434296

Nearest tenth :- x ≈ 9.3

Find the investment value when compounded anually.
P = $120,000, r= 5.3%, t = 8 yr​

Answers

Given:

[tex]P=\$120,000[/tex]

[tex]r=5.3\%[/tex]

[tex]t=8\text{ years}[/tex]

To find:

The value of the investment when the interest is compounded annually.

Solution:

The formula for amount is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is the principal, r is the rate of interest in decimal, n is the number of time interest compounded in an years, and t is the number of years.

The interest is compounded annually. So, [tex]n=1[/tex].

Substituting [tex]P=120000, r=0.053, n=1, t=8[/tex] in the above formula, we get

[tex]A=120000\left(1+\dfrac{0.053}{1}\right)^{1(8)}[/tex]

[tex]A=120000\left(1.053\right)^{8}[/tex]

[tex]A=181387.85936[/tex]

[tex]A\approx 181387.86[/tex]

Therefore, the value of the investment after 8 years is $181,387.86.

In most acceptance sampling plans, when a lot is rejected, the entire lot is inspected and all defective items are replaced. When using this technique the AOQ: worsens (AOQ becomes a larger fraction). improves (AOQ becomes a smaller fraction). is not affected, but the AQL is improved. is not affected. falls to zero.

Answers

Answer:

When using this technique, the AOQ:

improves (AOQ becomes a smaller fraction).

Step-by-step explanation:

AOQ simply means Average Outgoing Quality, which improves with inspection.  It is a part of an organization's Acceptance Sampling Plan, usually designed to meet product quality and risk level targets.  The plan draws samples from a population of items.  Then it tests the samples.  It only accepts the entire population if the sample is considered good enough.  It also rejects the population when the sample is poor enough.  In the plan, information about sample size and critical acceptance or rejection numbers are clearly indicated.  Acceptance sampling is common in most business environments because it has been found to be more economical than doing 100% inspection of incoming production input and output.

Helppppppp

Which choice is equivalent to the product below

Answers

Step-by-step explanation:

jkkkkkkkkkkkkkkkkkkkkk

Answer:

[tex]2 \sqrt{35} [/tex]

Help me with this question

Answers

Answer:

D. The graph of g(x) is the graph of f(x) compressed vertically and then reflected over the x axis.

Step-by-step explanation:

A function shows the relationship between two or more variables.

If a function y = f(x) is reflected over the x axis, the x coordinate remain unchanged, but the y coordinate is negated. Hence the function y = f(x) becomes y = -f(x).

A function y = f(x) is compressed or stretched vertically by a factor k to give y = kf(x). If 0 < k < 1, the function is vertically compressed whereas if k > 1, the function is vertically stretched.

Given the function f(x) = x², the function is vertically compressed by a factor of 2/3 to form a function f(x)' = (2/3)x². The function is then reflected over the x axis to produce a function g(x) = (-2/3)x²

The hypotenuse of a right triangle is twice the length of one of its legs. The length of the other leg is three feet. Find the lengths of the three sides of the triangle. Enter an exact answer. Do not type your answers as fractions or decimals

Answers

Answer:

One leg: 3

So, the hypo: 2*3 = 6

And the third is according to the formula for right angle triangles: a^2 + b^ = c^2

So: √9+36= c

6.7 to get an exact number round it: 7

Answer:

sides are √3 ft,2√3 ft,3 ft

Step-by-step explanation:

let one leg=x

length of hypotenuse=2x

third side=3 ft

(2x)²=x²+3²

4x²-x²=9

3x²=9

x²=9/3=3

x=√3 ft

hypotenuse=2√3 ft

f(x) = 4 - 2x – 2x3
g(x) = x² + 7x-9
Find f(x) + g(x).

Answers

Answer:

-2x^3+x^2+5x-5

Step-by-step explanation:

f(x) = 4 - 2x – 2x^3

g(x) = x² + 7x-9

f(x) + g(x)=4 - 2x – 2x^3+ x² + 7x-9

Combine like  terms

f(x) + g(x) = -2x^3+x^2+5x-5

What is a number divided by 3
gives a remainder of 1, divided by 4
gives a remainder of 2, divided by
5 gives a remainder of 3?

Answers

Answer:

58

Step-by-step explanation:

58/3 gives a remainder of 1

58/4 gives a remainder of 2

58/5 gives a remainder of 3

Which of the data sets below has a mean of 48? Select all that apply.

A) 51, 53, 43
B) 24, 91, 18, 65, 52
C) 65, 18, 72, 33, 52
D) 72, 18, 56, 46

Answers

C) 65, 18, 72, 33 and D) 72, 18, 56, 46

There are approximately 1.35 billion people in China. If the world population is 7.1 billion people, what percent of the world population is in China?​

Answers

Answer:

19.01%

Step-by- step explanation:

[tex]Percentage = \frac{1.35 billion }{ 7.1 billion } \times 100[/tex]

                [tex]= \frac{ 1.35 \ times 1, 000, 000, 000} {7.1 \times 1,000,000,000} \times 100\\\\\\=\frac{1.35}{7.1} \times 100 = 19.01 \%[/tex]

Having trouble with these questions, please help.

Answers

The Empirical Rule affirm:

99.7 % random variable values are between
±
three standard deviation.

95 % random variable values are between
±
two standard deviation.

68 % random variable values are between
±
one standard deviation. There you go!

Answer:

(a)=50%(b)=2.1and(c)=16.1

Step-by-step explanation:

Hope this helps

Please help me I am confused and i will give you anything you want just help me. SOS

Answers

Answer:

hope it helps you..........

someone pls help ill give you a kiss and a cookie fi you help meee
for the point (6,8) find the csc theta and sec theta

Answers

Answer:

cscθ = 5/4, secθ = 5/3

Step-by-step explanation:

First, let's view the drawing that I have attached, with the dot in the bottom left representing the origin. We know that cosecant and secant are the reciprocals of sin and cos respectively, and in order to find sin and cos, we must find the opposite, adjacent, and hypotenuse sides. The hypotenuse is opposite the right angle, equal to √(8²+6²) = 10

Next, we can find sin and cos of θ . sinθ = 8/10=4/5, making cscθ the reciprocal of 4/5, or 5/4

Similarly, cosθ = 6/10=3/5, and secθ = 5/3

a country’s population in 1990 was 123 million in 2002 it was 128 million

Answers

Answer:

whats the question

Step-by-step explanation:

Solve the inequality –8 < x – 14.

Answers

Answer:

x=6

Step-by-step explanation:

Answer:

Interval Notation:

(6,∞)

Inequality Form:

x>6

there ya go

in a club there are seven women and five men. A committee of 3 women and 2 men as to be chosen. how many different possibilities are there?​

Answers

Answer:

Step-by-step explanation:

Evaluate the given equation for the indicated function values. pls help

Answers

Answer:

The answer in each numeral is:

f(4) = 28f(10) = -19f(-5) = -33f(9) = -9

Step-by-step explanation:

To obtain the result in each case, you must replace the variable (n) by the value that appears in the second case, I'll explain it with the first exercise:

1. f(n) = 5n + 8   f(4) = ?

As you can see, in the second doesn't appear f(n), but f(4), that means you must replace the "n" in the equation by 4, if we do this, we obtain:

1. f(4) = 5*(4) + 8f(4) = 20 + 8f(4) = 28

The first answer is 28, now we'll continue with the next exercises:

2. f(n) = -2n + 1f(10) = -2*(10) + 1f(10) = -20 + 1f(10) = -19

3. f(n) = 6n - 3f(-5) = 6*(-5) - 3f(-5) = -30 - 3f(-5) = -33

4. f(n) = -nf(9) = -9

In this form, you can prove the answers are: 28, -19, -33, and -9 respectively.

Please help me with this problem

Answers

Answer:

x = 19

Step-by-step explanation:

2x + 3 = 90 - 49

2x + 3 = 41

2x = 38

x = 19

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
6y - 3x = 30

Answers

Answer:

y=(x/2)+5

Step-by-step explanation:

Slope-intercept form is y=mx+b where m is the slope and b is the y-intercept form. To get that, we need y by itself so we have to add 3x to both sides: 6y=30+3x. Now we divide by 6 and rearrange the right side: y=(3x+30)/6.

y = (3x/6)+(30/6) => y = (x/2)+5. We also know that the slope is 1/2 and the y-intercept is 5 because of the slope-intercept equation.

7/7q+21= x /5q^2-45 then x=?​

Answers

Answer:

x = 5q - 15

Step-by-step explanation:

[tex]\frac{7}{7q+21}=\frac{x}{5q^{2}-45}\\\\\frac{7}{7(q+3)}=\frac{x}{5 (q^{2} -9)}\\\\frac{1}{q+3}=\frac{x}{5*(q^{2}-3^{2})}\\\\\frac{1}{q+3}=\frac{x}{5(q+3)(q-3)}\\\\\frac{1}{q+3}*5*(q+3)(q-3)=x\\\\5(q-3)=x\\\\x= 5q-15[/tex]

Consider the given functions. Select the expression that will produce h(x). A. f(x) + f(x) B. f(x) − g(x) C. f(x) + g(x) D. g(x) − f(x)

Answers

Answer:

here is your answer

Step-by-step explanation:

here is your answer

Can someone help me please???!

Answers

Answer:

1) Yes, it is a right angle triangle

2)Yes, it is a right angle triangle

3) No, they are not similar.

Step-by-step explanation:

Dimension of triangle A = 48, 55 & 73

Dimension of triangle B = 36, 77 & 85

For any of the triangles to be a right angled one, then;

c = √(a² + b²)

Where a,b & c are side dimensions of a triangle.

Thus;

Triangle A: c = √(48² + 55²)

c = √5329

c = 73

This tallies with what we are given and so it is a right angled triangle.

Triangle B: c = √(36² + 77²)

c = √(7225)

c = 85

Similar to the third side dimension of 85, thus it is true.

For Triangle A & B to be similar, the ratio of the 3 corresponding sides must be in a whole number ratio.

Thus, we have;

48/36 = 1.5

55/77 = 5/7

73/85 = 73/85

Since the ratios are not similar, then we can say that the triangles are not similar.

100 Brainly points!! Need help ASAP :)

In the image, two circles are centered at A. The circle containing B was dilated to produce the circle containing B’. What is the scale factor of dilation?

A. 1
B. 2
C. 0.5
D. -0.5

Answers

Answer:

B

Step-by-step explanation:

I'm not really shure tho

Answer:

D. -0.5

Step-by-step explanation:

AB dilated by scale factor -0.5 to produce AB'.

the length of AB = 4 units and the length of AB' = 2 units, the direction is backward, so the scale factor is - 2/4 = -0.5

Which is the graph of the function y = 3x?

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The graph that includes the point (1, 3) will be the one that is a graph of ...

  y = 3^x

find the surface area of the composite figure​

Answers

Answer:

[tex]=280[/tex] [tex]in^2[/tex]

Step-by-step explanation:

----------------------------------------

Let's find the surface area of the pink rectangular prism first.

[tex]2*10=20+20=40[/tex]

[tex]4*10=40+40=80[/tex]

[tex]4*2=8+8=16[/tex]

[tex]40+80+16=136[/tex]

The surface area for the pink rectangular prism is [tex]136[/tex] [tex]in^2[/tex].

-------------------->>>>>

Now, let's find the surface area of the green rectangular prism.

[tex]4*7=28+28=56[/tex]

[tex]4*7=28+28=56[/tex]

[tex]4*4=16+16=32[/tex]

[tex]56+56+32=144[/tex]

The surface area for the green rectangular prism is 144 [tex]in^2[/tex].

-------------------->>>>>

Now let's add the surface area of both rectangular prisms to find the surface area of the composite figure.

[tex]136+144=[/tex]

[tex]=280[/tex] [tex]in^2[/tex]

----------------------------------------

Hope this is helpful.

9514 1404 393

Answer:

  224 in²

Step-by-step explanation:

There are a couple of ways to go at this. Here, we choose to figure the areas of each of the prisms individually, then subtract the "hidden" area where they are joined together.

The area of a prism is ...

  A = 2(LW +H(L+W))

Pink area:

  A = 2(10·4 +2(10+4)) = 2(40 +28) = 136 . . . square inches

Green area:

  A = 2(7·4 +4(7+4)) = 2(28 +44) = 144 . . . square inches

One 4 in × 7 in face of the green prism meets with a similar area of the pink prism, so the area hidden at that interface is 2(4·7) = 56 square inches. Then the total surface area of the composite figure is ...

  SA = 136 in² +144 in² -56 in² = 224 in²

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