which value of x makes this equation true -5(x - 20) = 35

Answer: 6 hours

Step-by-step explanation:

Let x= the number of hours they've worked

12x+6x=108

Combine like terms

18x=108

Divide 18 on both sides

18/18 x=108/18

x=6

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both the father and son worked for 6 hours each.

Let's denote the number of hours that both the father and son worked as "h".

The father charges $12 per hour, so his earnings for h hours of work would be 12h dollars.

The son charges $6 per hour, so his earnings for h hours of work would be 6h dollars.

Since their combined charge for labor was $108, we can set up the equation:

12h + 6h = 108

Combining like terms:

18h = 108

To solve for h, we divide both sides of the equation by 18:

h = 108 / 18

h = 6

Therefore, both the father and son worked for 6 hours each.

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Answer:

9

step by step explanation :

390

Hope this helps :)

384 the next greatest number of tens is 390.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculation

Note that the tens place is two moves to the right of the decimal point (if it exists).

To determine the greatest number to the nearest ten (nearest 10),

we use the place of the whole number to determine whether the tens place rounds up or stays the same.

The tens place (8) then look at the digit to the right (4):

⇒ 384

The digit to the right (4) is 4 or below. So, we replace it with a 0 (zero) to get 390 as the answer.

So, 384 the next greatest number of tens is 390.

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Answer:

1/10 = 0.1

Step-by-step explanation:

The value of a 4 in the one thousands place = 4000

the value of a 4 in the ten thousands

= 40000

In fraction,The value of a 4 in the one thousands place to the value of a 4 in the ten thousands place

= 4000/40000

= 4/40

= 1/10

= 0.1

Answer:

length= 24cm

Step-by-step explanation:

interpreting the question

L=3w

perimeter=2(l+w)

64=2(3w+w)

64=2(4w)

64=8w, Divide both sides by 8

w= 8cm

since w= 8

L=3w

L=3×8

L=24cm

Answer:

<c=152°

Step-by-step explanation:

We know that A and B are equal because it's an isosceles triangle.

x-14=x/2

2(x-14)=x

2x-28=x

x=28

<A=x-14=28-14=14

<B=x/2=28/2=14

<C=180-14-14=152°

Answer:

0.5(100-30) = 35

That's why M∠1 = 35°

Hoped this helped

Answer:

5.13*1.8=9.234

4.124/0.4=10.31

Step-by-step explanation:

Answer:

See image below

Answer:

Step-by-step explanation:

assume the coin is circular.

i think radius=2.0 cm

∵ 20 cm is too big for a coin.

i have calculated the area of both the surfaces.

area =2×πr²=2×π×2.0²=8 π=8×3.14=25.12 cm²

if only one surface then area=π×2²=4π≈12.57 cm²

Answer:

The opposite of the number 1/4 is equal to -1/4.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the number is 1/4 and the opposite of the number will be calculated as,

The opposite will be the negative value of 1/4.

Positive value = 1/4

Negative value = -1/4

Therefore, the opposite of the number 1/4 is equal to -1/4.

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There are 0 ones in the number 600 after writing the number in the form of 600 + 00 + 0

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

We have a number:

= 600

We can write it as:

600 =       600     +      00    + 0

Number    hundreds   tens    ones

There are 0 ones in the number 600.

Thus, there are 0 ones in the number 600 after writing the number in the form of 600 + 00 + 0

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Answer: 1/9

Step-by-step explanation:

       First pick   and       Second pick

    [tex]\dfrac{5\ \text{white socks}}{16\ \text{total socks}}\times \dfrac{4\ \text{remaining white socks}}{15\ \text{total remaining socks}}=\dfrac{20}{180}\rightarrow \large\boxed{\dfrac{1}{9}}[/tex]

Answer:

The answer is 29

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

first make into improper fraction then mulityply and then simplify

Answer:

Salad cost = $4

Sandwiches cost= $6.5

Drinks cist= $2

Step-by-step explanation:

Let salad = x

Sandwiches= y

Drinks= z

2x+2y+z= 23...... equation one

3x+y+3z= 24.5 .... equation two

X= 2z.... equation three

Substituting equation three into equation one and two

2(2z) +2y +z= 23....

3(2z)+y +3z= 24.5....

2y +5z= 23.... equation 4

y + 9z= 24.5...equation 5

Multiplying equation 5 with 2

2y +5z= 23

2y + 18z= 49

Solving simultaneously

13z= 26

Z= 26/13

Z= 2

2y +5z= 23

2y +5(2)= 23

2y= 23-10

2y= 13

Y= 6.5

X= 2z

X=2(2)

X= 4

Salad cost = $4

Sandwiches cost= $6.5

Drinks cist= $2

Answer:10x6=60

60

0 hundreds 60 tenths 0 oned

Step-by-step explanation:

Answer:

Step-by-step explanation: you sjxhbtdtbd

Answer:

(d+9/2)(d-9/2)

Step-by-step explanation:

Use the formula. x=

[tex] + \sqrt({b { }^{2} } - 4ac) \div (2a) \ \\ - \sqrt({b { }^{2} } - 4ac) \div (2a) [/tex]

where x=d, a =1 , b=13 , c=22.

since,

[tex]ax {}^{2} + bx + c = 0[/tex]

Answer with explanation:

A x% confidence interval interprets the percentage of certainty that a person can believe that the true population parameter.

It is also represented as Point estimate ± Margin of error

Confidence level is proportional to the Margin of error.

Answer:

An interesting experiment is given. We need to address various questions based on our knowledge of calculus.

Step 2

Part (a)

Time taken for the radius to grow to 2 cm = t1 = r/0.5 = 2/0.5 = 4 hours

Time taken for the radius to become 0 = t2 and the same can be obtained by solving:

r = 2 - √t2 = 0

Hence, t2 = 22 = 4 hours

Hence, the time duration of the entire experiment (from the introduction of the bacteria until its disappearance) = t1 + t2 = 4 + 4 = 8 hours

Step 3

Part (b)

r(t) = 0.5t for 0 ≤ t ≤ 4

and

r(t) = 2 - √(t - 4) for t > 2

Step-by-step explanation:

Answer:

[tex]\frac{511\,\,\sqrt{3} }{99}[/tex]  which is an irrational number

Step-by-step explanation:

Recall that the repeating decimal 0.7373737373... can be written in fraction form as: [tex]\frac{73}{99}[/tex]

Now, let's write the number 147 which is inside the square root in factor form to find if it has some perfect square factors:

[tex]147=7^2\,3[/tex]

Then, 7 will be able to go outside the root when we compute the final product requested:

[tex]\frac{73}{99} \,*\,7\,\sqrt{3} =\frac{511\,\,\sqrt{3} }{99}[/tex]

This is an irrational number due to the fact that it is the product of a rational number (quotient between 511 and 99) times the irrational number [tex]\sqrt{3}[/tex]

Answer:

refraction

Step-by-step explanation:

from the pf quiz

Answer:

refraction

Step-by-step explanation:

Answer:

Volume of the lake = 6.44 × 10¹¹ Litres

Step-by-step explanation:

First, let us unify the units of measurement in the problem by converting the depth from feet to miles

1 mile = 5280 feet

1 foot = 1/5280 miles

∴ 51.0 Feet = 51.0 × (1/5280) miles

= 0.009659 miles

Next, let us calculate the volume of the lake.

Volume = surface area × depth

surface area = 16.0 (mi)²

depth = 0.009659 mi

volume = 16.0 × 0.009659 = 0.15454 (mi)³

Next, since we are asked to report the volume in litres, let us convert from cubic miles to litres

1 cubic mile = 4.168 × 10¹² litres

∴ 0.15454 cubic miles = 4.168 × 10¹² × 0.15454

= 6.44 × 10¹¹ Litres

∴ Volume of the lake = 6.44 × 10¹¹ Litres

The volume of the lake is 6.46×10¹¹ liters.

To get the volume of the lake in liters, we need to calculate the volume in square miles and then convert it to liters.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the volume of the lake is  6.46×10¹¹ liters

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Answer:

9 4/33.

Step-by-step explanation:

0.12 repeating = 12/99

= 4/33.

Answer:

-40

Step-by-step explanation:

Answer:

chemical formula for silver sulfate Ag2SO4

Answer:

Ag2SO4

Step-by-step explanation:

..............

Complete question:

Two six-sided dice are rolled (one red one and one green one). Some possibilities are (Red= 1, Green=5) or (Red=2, Green=2) etc.

a)How many total possibilities are there?

For the rest of the questions, we will assume that the dice are fair and that all the possibilities in (a) are equally likely.

b)What is the probability that the sum on the two dice comes out to be 11?

c)What is the probability that the sum on the two dice comes out to be 7?

d)What is the probability that the numbers on the two dice are equal?

Answer:

Kindly check explanation

Step-by-step explanation:

Total probabilities :

Total possible outcomes on each dice = 6

Total probabilities = 6² = 36

b)What is the probability that the sum on the two dice comes out to be 11?

Total required outcome = 2

Total possible outcomes = 36

Probability = required outcome / Total possible outcomes

P(sum on both dice = 11) = 2 / 36 = 1/18

c)What is the probability that the sum on the two dice comes out to be 7?

Required outcome = 6

Possible outcomes = 36

P(obtaining a sum of 7) = 6/36 = 1/6

d)What is the probability that the numbers on the two dice are equal

= required outcome / possible outcomes

Required outcome = 1,1 ; 2,2; 3,3; 4,4 ; 5,5 ; 6,6

= 6/36 = 1/6