how can -6.75 + (-10.25) be expressed as the sum of its integer and decimal parts?

6 + 10 +0.75 +0.25
-6+ (-10) +0.75 +0.25
-6 + (-10) + (-0.75) + (-0.25)
6+ (-10) +0.75 +(-0.25)

Answer:

B. 8x

Step-by-step explanation:

If Sally's age is represented by x, and Barbara is 8 times older than her, that makes it multiplication. Letter A doesn't give us anything about Barbara's age compared to Sally's, letter C is the wrong number, and letter D is addition, and "8 times older than Sally" is clearly not addition, which leaves letter B to be the only logical answer.

Answer: y=62x+61

Hope this helps

Work Shown:

30% of 470 = 0.30*470 = 141

The value goes up by $141, so the answer would be 470+141 = $611

A slight shortcut would be to say

1.30*470 = 611

This works because 1.30 = 1 + 0.30 = 100% + 30%

Answer:

$141

Percentage increase = 30% × 470

New value = 470 + Percentage increase

New value =

470 + Percentage increase =

470 + (30% × 470) =

470 + 30% × 470 =

(1 + 30%) × 470 =

(100% + 30%) × 470 =

130% × 470 =

130 ÷ 100 × 470 =

130 × 470 ÷ 100 =

61,100 ÷ 100 =

611

Calculate absolute change (actual difference)

Absolute change (actual difference) =

New value - 470 =

611 - 470 =

141

Answer:

3

Step-by-step explanation:

We can start by writing one fourth as a fraction

1/4

Then we multiply it by 12.

1/4*12

This also means 12 divided by 4 which is 3.

Answer:

3

Step-by-step explanation:

1/4 of 12

first divide 12 by 4

you get 3 and then you multiply 3 by how many fourths (in this case 3*1)

so 3

Answer:

x/6 - 1

Step-by-step explanation:

x divide 6 subtract 1

Answer: 9/52

Step-by-step explanation:

1) log2(x - 2) , when x = 10

log2 (10 - 2)

= log2 (8)

now we know that,

loga (b) = log b/ log a

so, = log 8/ log 2

= log (2)³/ log 2

we also know, log (a)^b = b log (a)

so,

= 3 log 2/ log 2 = 3

2) 6 r^t + 63 , when r = 4 and t = 2

so putting values,

6(4)² + 63

= 6(16) + 63

= 96 + 63 = 159

3) log25 (x) , when x = 5

log25 (5)

= log 5/ log 25

= log 5 / log (5)²

= log 5/ 2 log 5

= 1/5

Answer:

Karl exercised longer - it takes the average person several hours to burn 800 calories, or an hour at least. If he really tried, he could feasibly do it in 40 minutes, but likely not less. This is an educated guess because the question doesn't give enough information.

Step-by-step explanation:

Knowledge about the human body and how quickly we burn calories.

Answer:

2.5 and 2.5

Step-by-step explanation:

Since it is 50%. You just do 5lb divided by 2

Answer:

2.5&2.5

Step-by-step explanation:

You divide 5/2 and get 2.5 for both! Hope this helps!

Answer:

I believe the answer is B

(please give brainliest, it helps a lot)

Answer:

21

Step-by-step explanation:

Since this is an equilateral triangle, all sides are equal.

3x-6 = 2x+3

Move like terms to one side

x = 9

Now we plug 9 back in for x

2(9) + 3

=18 + 3

=21

Here we want to get the sum of the first 8 terms for the given geometric sequence, we will find that the solution is: 156.25

We know that for a geometric sequence given by:

[tex]a_n = a_1*r^{n-1}[/tex]

Where r is the common ratio, the sum of the first N terms is given by:

[tex]S_N = a_1*(r^N - 1)/(r - 1)[/tex]

Here we know that:

[tex]a_n = (1/5)*a_{n-1}[/tex]

So the common ratio is r = 1/5

And we also know that:

[tex]a_1 = 125[/tex]

Then we can replace these two in the formula for the sum with N = 8 to get:

[tex]S_8 = 125*( (1/5)^8 - 1)/( 1/5 - 1) = 156.25[/tex]

If you want to learn more about geometric sequences, you can read:

https://brainly.com/question/9300199

Answer:

-1

Step-by-step explanation:

you would do y2-y1/x2-x1

so for this is would be

6-5/2-3

1/-1 = -1

Answer:

Step-by-step explanation:

Distribute and solve with the quadratic equation:

After simplifying, we get two solutions:

[tex]x=0\\x=-\frac{1}{3}[/tex]

Answer:

Y=10

Step-by-step explanation:

The connection between Y&X is that X is Y-2. So just do the same to the new Y value and you should get the X value.

Answer:

500 [tex]\leq[/tex] p [tex]\leq[/tex] 1000

Step-by-step explanation:

Since Andre if giving a rough estimate about how much paper clips are in the box, we will use the [tex]\leq[/tex] (less than or equal to)

Your X value will be your actual number, the equation shows us that p is anywhere between 500 - 1000

Answer: i believe it would be A?

Step-by-step explanation: my guess is because everything is multiplied by 6. Sorry if im wrong

Answer:

[tex]a_{n}[/tex] = 6n

Step-by-step explanation:

Note the values on the lower line are 6 times the corresponding values on the upper line, that is

0 × 6 = 0

1 × 6 = 6

2 × 6 = 12

3 × 6 = 18

4 × 6 = 24

5 × 6 = 30

Then

n × 6 = 6n ← nth term

Answer:

75%

Step-by-step explanation:

We would have to divide 6 by 8 and then multiply the quotient by 100 to get the percentage.

[tex]\frac{6}{8}=0.75 * 100 = 75\%[/tex]

6 is 75% of 8.

Hope this helps!

Answer:

Step 1: Transpose everything to one side

12. x²+16x+15-10x+4=0

Step 2: Add the like terms

x² + (16x - 10x) + 15 + 4=0

x² + 6x + 19=0

Step 3: Use the quadratic formula to get the value(s) of x.

a=1 b=6 c=19

[tex]x = \frac{ - b + - \sqrt{b {}^{2} - 4ac } {}^{} }{2a} [/tex]

therefore, x=... or x

Answer:

u=7

Step-by-step explanation:

19=5u-16

5u=19+16

5u=35

u=35/5

u=7

Answer:

[tex]\frac{a}{b^7} [/tex]

Step-by-step explanation:

[tex]\frac{a^4*b^3}{a^3*b^{10}} = \frac{a}{b^7} [/tex]

Answer:

Here is ur answer

Step-by-step explanation:

10(5)/-6+4

50/-2

-25

Answer:

-65/81

Step-by-step explanation:

[tex]( \frac{2}{3} ) {}^{x} ( \frac{2}{3} ) {}^{4} - ( \frac{2}{3} ) {}^{x} [/tex]

[tex] (\frac{2}{3} ) {}^{x} ( \frac{16}{81} - 1)[/tex]

[tex]( \frac{2}{3} )( \frac{ - 65}{81} )[/tex]

Answer:

x= 3 1/2

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

[tex]\dfrac{3}{4}x + 4 = 7\\\\\\Subtract \ 4 \ from \ both \ side\\\\\dfrac{3}{4}x= 7-4\\\\\dfrac{3}{4}x = 3\\\\Multiply \ both \ sides \ by 4\\\\3x = 3*4\\\\3x = 12\\Divide \ both \ sides \ by \ 3 \\x = \dfrac{12}{3}\\\\x = 4[/tex]

Answer:

-1/4

Step-by-step explanation:

The formula for finding slope given any two points on the line is:

[tex]\frac{(y_{2} - y_{1}) }{(x_{2} - x_{1}) }[/tex]

Which is:  (-7 - (-3)) / (7 - (-9))

Plugging it into the calculator or solving it with basic math, it gives us -4 on the numerator and 16 on the denominator. Simplify, and you get -1/4.

Hope it helps! :)

Answer:

Supplementary.

Step-by-step explanation:

Adding ∠ADW and ∠YDW together add up to 180° making the angles supplementary.

Answer:

all I can say is the 4 one and the 6 one.

Step-by-step explanation:

Answer:  $0.35 which is the same as 35 cents

==========================================

Work Shown:

3 cookies = $1.05

3/3 cookies = $1.05/3

1 cookie = $0.35 = 35 cents

Answer:

0.35

Step-by-step explanation:

if they have 3 cookies for $1.05 you would ÷ (devide) $1.05 by the amount of cookies (3) to find how much 1 cookie is worth. 1.05÷3=0.35