Write and evaluate the expression. Then, complete the statements. Six more than the product of nine and a number Evaluate when q=6

Answers

Answer 1
Answer:

Answer:

6+9q

substitute

simplify

order of operations

60

Step-by-step explanation:

Answer 2
Answer:

q = unknown number

9q + 6  

[Six more(addition) than the product(multiplication) of nine and a number(q).

So 6 is added to 9q(9 times q).]

Since you know q = 6, substitue/plug it into the equation:

9q + 6     Plug in 6 into "q" since q = 6

9(6) + 6

54 + 6

60


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The sum of two decimals numbers is 5.3 their difference is 1.7 and their product is 6.3 what are the two numbers

jess puts 1 2/3 tomatoes in each salad. Dott ate 1 1/2 salads yesterday and 2 7/10 salads today. How many more tomatoes did she eat today? Explain how you solved this problem.

Answers



1 and 2/3 per salad
1 and 1/2 salad eaten then 2 and 7/10 salad eaten
subtract salads eaten
1 and 1/2=1 and 5/10
2 and 7/10-1 and 5/10=1and 2/10=1 and 1/5
convert to improper fraction
6/5=salads eaten

so 1 and 2/3 to imporper is 5/3

so multiply amount per salad by salad eaten
5/3 times 6/5=30/15=2
answer is 2 more tomatoes
First of all... Who would name their kid dott??!?!!

Decimal time:
1 2/3= 1.666, forever
2 7/10= 2.7
1 1/2= 1.5

1.6666 forever times 1.5 = the amount of tomatoes she ate yesterday. = 2.5

1.666 forever times 2.7 = the amount of tomatoes she ate today. = 4.5

4.5 - 2.5 = 2

She ate 2 more tomatoes today than she did yesterday.

A rectangular block of clay has a length of 12 cm, width of 5 cm, and a volume of 150 cm3. What is the height of the block of clay?

Answers

Answer:

The height of the block is 2.5 cm

Solution:

Let us assume the height of the block =h

The length of the rectangle l = 12 cm

The width of the rectangle w = 5 cm

The volume of the rectangle V = 150 cm^(3)

We know the volume of the rectangular block V = w* h* l

So,

h=\left((V)/(w * l)\right)=\left((150)/(5 * 12)\right)

=\left(\frac{30}{12}\right)

=\left(\frac{5}{2}\right)    = 2.5

So, the height is 2.5 cm

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷  Volume = l * w * h

So far we have:

150 = 12 * 5 * h

Divide both sides by (12*5)

h = 2.5 cm

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

ʜᴀɴɴᴀʜ ♡

Factorise x^2 - 7x + 12

Answers

Answer:

= (x-4)(x-3)

Step-by-step explanation:

Firstly, put the pronumeral in the brackets [(x)(x)].

Then, place the signs in the right positions, the sign of the constant number (12) is a positive (+), therefore the two signs must be the same. The sign of the -7x is negative (-). Place these in the brackets [(x-)(x-)].

Next, think of the factors of 12 that add up to 7 {(3 and 4) 3x4 is 12 and 3+4 is 7}. [(x-4)(x-3)].

Have a nice day!!!!!!! :-)

KA

Answer:

(x-3) (x-4)

Step-by-step explanation:

x²- 7x + 12

= x² - 3x -4x +12

=x(x-3) - 4(x-3)

=(x-3) (x-4)

Find the arithmetic combination of f(x) =x+2, g(x)=x-2

Answers

Answer:

The arithmetic combinations of given functions are (f + g)(x) = 2x, (f - g)(x) = 4,  (f * g)(x) = \mathrm{x}^(2)-4 , \left((f)/(g)\right)(\mathrm{x})=(x+2)/(x-2)

Solution:  

Given, two functions are f(x) = x + 2 and g(x) = x – 2

We need to find the arithmetic combinations of given two functions.

Arithmetic functions of f(x) and g(x) are (f + g)(x), (f – g)(x), (f * g)(x), \left((f)/(g)\right)(\mathrm{x})

Now, (f + g)(x) = f(x) + g(x)

= x + 2 +x – 2

= 2x

Therefore (f + g)(x) = 2x

similarly,

(f - g)(x) = f(x) - g(x)

= x + 2 –(x – 2)

= x + 2 –x + 2

= 4

Therefore (f - g)(x) = 4

similarly,

(f * g)(x) = f(x) * g(x)

= (x + 2) * (x – 2)

= x * (x – 2) + 2 * (x -2)

=x^(2)-2 x+2 x-4

=x^(2)-4

Therefore  (f * g)(x) = x^(2)-4

now,

\left((f)/(g)\right)(\mathrm{x})=(f(x))/(g(x))

=(x+2)/(x-2)

((f)/(g))(x) = (x+2)/(x-2)

Hence arithmetic combinations of given functions are (f + g)(x) = 2x, (f - g)(x) = 4,  (f * g)(x) = \mathrm{x}^(2)-4 , \left((f)/(g)\right)(\mathrm{x})=(x+2)/(x-2)

1.8 as a mixed number in simplest form

Answers

we know that

A mixed number is a number consisting of a whole number and a proper fraction.

so

1.8=1+0.8\n\n =1+(8)/(10)\n\n =1+(4)/(5)\n \n=1(4)/(5)

therefore

the answer is

1(4)/(5)

1.8 as a mixed number in simplest form is 1(4)/(5).

To convert 1.8 to a mixed number in simplest form, we first need to separate the whole number part and the fractional part.

The whole number part is 1 (1.8 can be read as "one point eight").

To find the fractional part, we look at the decimal portion, which is 0.8.

Now, to express 0.8 as a fraction, we put the decimal part over the appropriate place value. Since 0.8 is 8 tenths, we can write it as 8/10.

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2 in this case.

8 ÷ 2 = 4

10 ÷ 2 = 5

So, the simplified fractional part is 4/5.

Now, we can put the whole number part and the fractional part together:

1 + 4/5 = 1(4)/(5)

Therefore, 1.8 as a mixed number in simplest form is 1(4)/(5).

Learn more about Mixed numbers here:

brainly.com/question/24137171?

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What is the answer to 978 -(6x8) + 99 =

Answers

978-(6*8)+99=
978-48+99=1029


Use the order of operations PEMDAS parentheses, exponents, multiplying and dividing left to right, and lastly, adding and subtracting left to right. First, parentheses. 6x8 = 48.  So now we have 978 - 48 + 99.  Its all adding and subtracting, so we can do it simple... 978 - 48 = 930.  930 + 99 is 1029. That's the answer.

1029

Hope this helped!