Which statement about sutter’s work are true?

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Explanation:

S = sum of the first four values

S/4 = 70 since we divide the sum by 4 to get the mean of the first four values

S = 280 is the result after multiplying both sides by 4

Let x be the fifth unknown value. Adding it onto S leads to S+x = 280+x. This represents the sum of all five values.

Dividing that sum 280+x over 5 leads to the new mean 80, which leads to...

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(280+x)/5 = 80

280+x = 5*80

x+280 = 400

x = 400-280

x = 120

The fifth number is 120

The fifth number is 120

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 four numbers be = a , b , c , d

Let the fifth number be = e

Now , the mean of 4 numbers is m = 70

So , the equation will be

( a + b + c + d ) / 4 = 70

Multiply by 4 on both sides , we get

a + b + c + d = 280   be equation (1)

Now , the mean of 5 numbers is m = 80

So , the equation will be

( a + b + c + d + e ) / 5 = 80

Multiply by 5 , we get

a + b + c + d + e = 400   be equation (2)

Substitute the value of equation (1) in equation (2) , we get

a + b + c + d + e = 400

280 + e = 400

Subtracting 280 on both sides , we get

e = 400 - 280

e = 120

Therefore , the value of e is 120

Hence , The fifth number is 120

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Answer:8.6

Step-by-step explanation:

The required liters of hot chili papers collected in a week is 98.56 liters.

Unit of measurement is defined as every entity having its measures in dimensions, weight, and time. Such as for length we have a meter, for liquid we have liters, and so on.

1 peck = 8.8 liters
1.6 peck = 8.8 × 1.6 liters
1.6 pecks = 14.08 liters

So, in 1-week liter that could be collected is given as,
⇒ 14.08 × 7 [1 week = 7 days]
⇒ 98.56 liters

Thus, the required liters of hot chili papers collected in a week is 98.56 liters.

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Answer:

scientific notation

Step-by-step explanation:

This number is shown in scientific notation.

Answer:

0.00000146

Step-by-step explanation:

I took the test

Answer:

2[tex]\pi[/tex]rh

Step-by-step explanation:

A little easier way to see:

2 * [tex]\pi[/tex] * r * h

Answer:

9 is your answer.

Step-by-step explanation:

Solve for b. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 9 to both sides:

8b - 9 (+9) = b (+9)

8b = b + 9

Next, subtract b from both sides:

8b (-b) = b (-b) + 9

8b - b = 9

7b = 9

Divide 7 from both sides:

(7b)/7 = (9)/7

b = 9/7

Plug in 9/7  for b in the equation given:

7(b) = 7(9/7) = 9

9 is your answer.

~

Answer:

c

Step-by-step explanation:

35/2=17.5 *2= 35+35+35= 105

6.5% of 105 is 6.83, so 105+ 6.83= 111.83

Answer:

B

Step-by-step explanation:

Answer:

$110

Step-by-step explanation:

APEX

Answer:

2

Step-by-step explanation:

Answer:

your awnser would be C

Step-by-step explanation:

Answer:-2 + 3i/2, and -2-3i/2

Step-by-step explanation:

Apply the quadratic formula.

We have (-16 +-sqrt(16^2-4*4*25))/8.

Simplifying, we have (-16+-12i)/8.

Thus, the roots are -2 + 3i/2, and -2-3i/2

Answer:

The roots are

Step-by-step explanation:

4x² + 16x + 25 = 0

Using the quadratic formula

That's

From the question

a = 4 , b = 16 , c = 25

Substitute the values into the above formula and solve

We have

Separate the real and imaginary parts

That's

We have the final answer as

Hope this helps you

Answer:

x=−9

Step-by-step explanation:

i hope this helps you

Answer:

x=-9

Step-by-step explanation:

Subtracting 53 from both sides, you get -2/3x=6.

-9*2/3x=6

x=-9

Answer:

25 years old

Step-by-step explanation:

Let the teacher's age be a.

Then:

a^2 - 23a = 50

In standard form, this quadratic is

x^2 - 23a - 50 = 0

Factoring this, we get (x - 25)(x + 2) = 0

So a is either 25 or a is -2.  Only a = 25 is relevant here.

The teacher is 25 years old (Answer G)

Work Shown:

|x-12.2| = 0.3

x-12.2 = -0.3 or x-12.2 = 0.3

x = -0.3+12.2 or x = 0.3+12.2

x = 11.9 or x = 12.5

The min length is 11.9 cm and the max length is 12.5 cm

Subtracting 12.2 from either x value leads to a positive difference of 0.3 which is the margin of error.

it it is 30 little one

Answer:

[tex]xy+3x-23y-3[/tex]

Step-by-step explanation:

[tex]1xy+3x-(23y+3)\\[/tex]

Multiply ; 1× x =x

[tex]=xy+3x-\left(23y+3\right)\\[/tex]

Use - to open the bracket

[tex]-\left(23y+3\right):\quad -23y-3\\\\=xy+3x-23y-3[/tex]

Answer:

210 km

Step-by-step explanation:

1cm : 70km

3 x 70 = 210

3cm : 210km

Hopefully this helps you :)

pls mark brainlest ;)

Answer:

(x,y). y = x + 3 y = -x - 5

Step-by-step explanation:

Answer:

(-4,-1)

Step-by-step explanation:

I graphed the two lines using a graphing tool. When graphed, the lines intercept at (-4,-1). Therefore, (-4, -1) is the solution.

Please see the graph attached.  

Hope this helps.

Answer:

D

Step-by-step explanation:

Answer:

3n²+3n-60

Step-by-step explanation:

Area of rectangle= L*W

A=3(n-1)(n+2)

A=3(n²+n-2)

A=3n²+3n-6

54=3n²+3n-6

3n²+3n-6-54=0

3n²+3n-60=0

Answer:

3, 3, - 60

Step-by-step explanation:

Area = lw

Therefore 54=(3n-3)(n+2)

Expand and we get:

3n^2+6n-3n - 6=54

Combine terms and move 54 to left side:

3n^2+3n-60

Hope this helped!

Answer:

it’s B. $25.50

Answer:

Step-by-step explanation:

Answer:

the answer is

36(thirty six)

Answer: y=-6x-7

Step-by-step explanation:

Slope-intercept form is y=mx+b. This means, we want to isolate y.

18x+3y=-21                   [subtract both sides by 18x]

3y=-18x-21                    [divide both sides by 3]

y=-6x-7

Now, our equation is in slope-intercept form.

Answer:

Step-by-step explanation:

sum of ratio=6+4+3=13

let the total price of houses=x

then

[tex]\frac{3}{13} x=240,000\\x=240,000 \times \frac{13}{3} =1,040,000\\price of first house=1,040,000 \times \frac{6}{13} =480,000\\price~of~second~house=1,040,000 \times \frac{4}{13}=320,000[/tex]

Answer:

if ∠Q=∠R

draw an angular bisector from P to QR in which it intersect wit Qr at point S

now we have two triangle : QPS and RSP

in which angle : QPS=RPS ( PS is angular bisector)

and we have angle Q and angle R are equal

and PS is common side

this makes triangle QPS and RSP are congruent by AAS(angle angle side)

which also means that pQ=PR ( proved)

Answer:

no solution

Step-by-step explanation:

|x| = -10

Absolute value means that it is positive or 0

It cannot be negative

There is no solution

Step-by-step explanation:

There is no solution

|A|

can be only 0 or positive number

can't be -

from the rule of Mathematics

Answer:

fourth option

Step-by-step explanation:

Given

[tex]\frac{2x-1}{y}[/tex] = [tex]\frac{w+2}{2z}[/tex] ( cross- multiply )

y(w + 2) = 2z(2x - 1) = 4xz - 2z ( divide both sides by y )

w + 2 = [tex]\frac{4xz-2z}{y}[/tex] ( subtract 2 from both sides )

w = [tex]\frac{4xz-2z}{y}[/tex] - 2