When the price of salad was $5 a cafeteria sold 50 packets of slad dressing a day at $.50 per packet. When they raised the price of salad to $7 but kept the dressing the

9514 1404 393

Answer:

  a little more than 27

Step-by-step explanation:

Estimates are generally made by approximating the numbers using 1 or 2 significant digits. The idea is to do as much mental arithmetic as possible, not involving a calculator. Here, the estimate can be based on rounding the values like this:

  √9.7 +3.88 × 6.21 ≈ √9 +4 × 6 = 3 +24 = 27 . . . estimated expression value

__

Another aspect of estimating is determining the approximate error involved.

We know that √9.7 will be more than √9 = 3, and less than √10 ≈ 3.16*. Its real value may be about 3.1.

3.88 is less than 4 by 0.12, or 3%. 6.21 is greater than 6 by .21, or 3.5%. So, the estimated product of 24 will be on the order of -3% +3.5% = 0.5% too low. Of course 1% of 24 is 0.24, so 1/2% will be about 0.12. Now, we are able to estimate that our estimate is about 0.2 units too low. (The actual value of the expression is an irrational number that rounds to about 27.2093.)

_____

* The value of 3.16 for √10 is not so hard to remember, because it is just slightly more than π ≈ 3.14.

__

Additional comment

Small percentages can usually be added and subtracted without introducing too much additional error. (The smaller the percentages, the less additional error is introduced.) Here, the error in our estimated product can be more accurately determined by computing ...

  (1 -3%)(1 +3.5%) = 1 +0.5% -0.105% = 1 +0.395% . . . . . . (not 1 +0.5%)

That is, our product's actual value is 24.0948, not 24.12.

The measure of length ZV, ZY, ZU, TY, and XV are 56, 30, 50, 60, and 78.

If Z is the centroid of triangle TUV, then the following are true:

ZV = 2ZX

Given that ZX = 28,

ZV = 2(28)

ZV = 56

Similarly, TZ = 2ZY

60 = 2ZY

ZY = 60/2

ZY = 30

Also, ZU = 2WZ

ZU = 2(25)

ZU = 50

TY = 2ZY

TY = 2(30)

TY = 60

XV = XZ + ZY

XV = 28 + 50

XV = 78

Therefore the measure of length ZV, ZY, ZU, TY, and XV are 56, 30, 50, 60, and 78.

Learn more on centroid here: https://brainly.com/question/25845737

g(x) = 2x

9(-1) = -2

f(x) = 3x-2

f(g(-1)) = f(-2) = 3*(-2) - 2 = -8

Answer:

-8

Step-by-step explanation:

g(-1)= 2 * -1 = -2

So f(g(-1)) will be f(-2)

F(-2) = (3 * -2) - 2

= -6 - 2

= -8

Answer:

x=-31/4

Step-by-step explanation:

Cross multiply and bring 3 to the opposite side.

3(3x+8) =5x-7

9x+24=5x-7

Bring all the x to one side and the numbers to the other

9x-5x=-7-24

4x=-31

x=-31/4

Answer:

D: slinky spring

Step-by-step explanation:

Answer:  8. 1.2 × 10⁻⁶  1.2 × 10⁻³  1.2 × 10³  1.2 × 10⁵  1.2 × 10⁶

9a.  6.85 × 10⁻⁷ m   0.00000052 m   4.6 × 10⁻⁷ m

9b.  BGYR shortest to greatest

10.  6 × 10⁵   3 × 10³

11a. 10⁻⁷

11 b i.   8 × 10⁻⁷

11 b ii.  0.0000008

Step-by-step explanation: 8: the image is a bit out of focus, so it's hard to tell what all the exponents are. Just remember that for negative exponents, the larger the number, the smaller the value.

9.  Following the examples given, the exponent tells how many places to count from right to left to move the decimal from standard form to wavelength and vice-versa.  

9b. Just put the numbers from standard form in order and find the corresponding color.

10. For multiplication, multiply the numbers to the left of the × and add the exponents of the 10.   For division, Divide the numbers on the left and subtract the exponents of 10.

11a  add the powers. Just like the first part of #10

11b same procedure as #10  (The more you practice, the more likely you will remember)

The total number of decimal places in the factors will be the number of decimal places in the product. 0.002 has 3 decimal places. 0.0004 has 4 decimal places. Total of 7. SO "0" decimal . then six 0's then the multiplied number 8 in 7th place.

Answer:

1. lines that never touch

2. lines that cross each other and make a right angle

Step-by-step explanation:

Answer:

the answer is yes

since there is there sides that's what shows in a triangle

Answer:

A

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

So the formula for slope is y = mx + b

Here is what it looks like so far: y = -5x + 3

In that equation, -5 is m (slope)

and 3 is b (y-intercept)

So the answer is C

Answer:

where's the question

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Rad10 times rad10 equals rad100 which is simplified to 10

Answer:

A: 10

Step-by-step explanation:

√10 × √10

= 10

Answer:

24% of a hundred is 24

Step-by-step explanation:

use fractions to help you solve this.

Answer:

yes

Step-by-step explanation: yes

Answer:

1000

512 is ans ...............

Answer:

I'm pretty sure it's true.

Step-by-step explanation:

Answer:

what's your questions ....

Answer:

MAN im finna make banger with this one Step-by-step explanation:

Answer:

Whats a you love

Step-by-step explanation:

no entiendo

Answer:

angle one is 62 degrees

Step-by-step explanation:

3x+2+5x+18=180

x=20

5*20+18=118

180-118=62

Answer:

All four lines are perpendicular

Step-by-step explanation:

Lines 1 and 2 are parallel

y+8x=−5;x+1/6y=−5

Lines 2 and 3 are parallel

x+1/6y=−5;y=−6x−7

Lines 1 and 4 are perpendicular they intercept

x+1/6y=−5;y+3=1/8(x−1)

All four lines are perpendicular

line 4 is perpendicular to all other lines

Answer:68600m

Step-by-step explanation:98 meters to cm is 9800 then times it by 7 you get 68600

Answer:

solving [tex]100x^2-4=0[/tex] we get [tex]x=\frac{-1}{5}\:,\:x=\frac{1}{5}[/tex]

Step-by-step explanation:

We need to solve [tex]100x^2-4=0[/tex]

We know that [tex]10^2=100 \: and\: 2^2=4[/tex]

Replacing with the squares

[tex]100x^2-4=0\\(10x)^2-(2)^2=0[/tex]

We can use the formula: [tex]a^2-b^2=(a+b)(a-b)[/tex]

Applying formula

[tex](10x+2)(10x-2)=0\\10x+2=0\:,\:10x-2=0\\10x=-2\:,\:10x=2\\x=-2/10\:,\:x=2/10\\x=\frac{-1}{5}\:,\:x=\frac{1}{5}[/tex]

So, solving [tex]100x^2-4=0[/tex] we get [tex]x=\frac{-1}{5}\:,\:x=\frac{1}{5}[/tex]

Step-by-step explanation:

The given equations are :

y = x + 3 .....(1)

y = 2x – 5 ......(2)

The table for equation (1) is :

x = 0, 1, 2, 8

y = 3, 4, 5, 11

The table for equation (2) is :

x = 0, 1 , 2, 8

y = -5, -3, -1, 11

From the graph we can see that,

The x-value is = 8

The y-value = 11

The solution is = (8,11).

The x-value is = 8, the y-value = 11 and the solution is = (8,11)

The equations are given as:

y = x + 3

y = 2x - 5

Next, we plot the graph of the equations

From the graph of the equations, we have:

(x,y) = (8, 11)

Hence, the x-value is = 8 and the y-value = 11

So, the solution is = (8,11)

Read more about graphed equations at:

https://brainly.com/question/14323743

Answer:

66.4°

Step-by-step explanation:

To find the angle XYZ, we are to use sine rule. For this, we have to first find ∠Z.

Given that: ∠X = 90° (right angle), XY = 6 cm, YZ = 15 cm. Hence:

[tex]\frac{sin(Z)}{XY}=\frac{sin(X)}{YZ}\\\\Substituting:\\\\\frac{sin(Z)}{6} =\frac{sin(90)}{15} \\\\sin(Z)=\frac{sin(90)*6}{15}\\\\sin(Z)=0.4\\\\Z=sin^{-1}(0.4)\\\\Z=23.6^o[/tex]

∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)

90 + ∠Y + 23.6 = 180

113.6 + ∠Y = 180

∠Y = 180 - 113.6

∠Y = 66.4°

∠Y = ∠XYZ = 66.4°

Answer:

xy9

Step-by-step explanation:

Answer:

do u need to isolate the variables?

Step-by-step explanation:

Answer:

Following are the solution to this question:

Step-by-step explanation:

Its laborer's journey through time was concentrated mostly on left as well as the amounts are mostly less than 4 min. There are quite a lot of significantly higher levels, even stretching to 150 min. A hypothetical worker is 15% likely to get a time difference longer than 45 min.  

Step-by-step explanation:

1/sin10-√3/cos10

= (cos10 - √3sin10)/cos10sin10

multiplying 1/2 in denominator and numerator

= {(cos10/2) - (√3sin10/2)}/(cos10sin10/2)

= (cos60cos10 - sin60sin10)/(cos10sin10/2)

= cos(60 + 10)/(cos10sin10/2)

= cos70/(cos10sin10/2)

= 2cos70/cos10sin10

multiplying 2 on numerator and denominator

= 4cos70/2sin10cos10

=4cos70/sin20

=4cos70/cos70

= 4  proved

Answer:

8 leaves

6 leaves

2 leaves