The sum of two numbers is 60 and the difference is 16 . What are the numbers?
Larger number: ?

Smaller number: ?

Answer:

3 inches by 5 inches.

Step-by-step explanation:

The scale factor is 3 so the original lengths are 1/3 of the enlarged , so the answer is 9/3 by 15/3

= 3 by 5.

The dimensions of the original picture is 3in by 5in

Let the original dimension of the drawing be x in by y in

If the dimension of the enlarged picture is 9 inches by 15 inches after using a scale factor of 3, then;

x = 9/3  = 3in

y = 15/3 = 5in

Hence the dimensions of the original picture is 3in by 5in

Learn more on scale factors here: https://brainly.com/question/10253650

Step-by-step explanation:

[tex]a) \\ log_{x}(15) \\ = log_{x}(3 \times 5) \\ = log_{x}3 + log_{x}5 \\ = 1.5 + 1.8 \\ = 3.3[/tex]

[tex]b) \\ log_{x}(2) \\ = log_{x}(\frac{10}{5}) \\ = log_{x}10 - log_{x}5 \\ = 3 - 1.8\\

= 1.2[/tex]

[tex]e) \\ log_{x}(150) \\ = log_{x}(3 \times 5\times 10) \\ = log_{x}3 + log_{x}5+ log_{x}10 \\ = 1.5 + 1.8 + 3\\ = 6.3[/tex]

[tex]f) \\ log_{x}(250) \\ = log_{x}( 5^2 \times 10) \\ = log_{x}5^2 + log_{x}10 \\

= 2log_{x}5 + log_{x}10 \\

= 2\times 1.8 + 3\\

= 3.6 + 3\\

= 6.6[/tex]

Answer:

[tex]\log _x\left(6\right)[/tex]

[tex]$\frac{\text{log}(6)}{\text{log}(x)} =\frac{\text{log}(3)}{\text{log}x)}+\frac{\text{log}(3)}{\text{log}(x)}=\frac{1.5}{\text{log}(x)}+\frac{1.5}{\text{log}(x)}=\frac{3}{\log _{10}\left(x\right)}$[/tex]

Answer:

3

Step-by-step explanation:

Parallel lines have equal slopes, thus

line AB is parallel to line CD

Answer:

When dividing two values with the same base, we simply subtract the first exponent by the second and keep the original base. 3^3-6=3^-3. This equals out to be 1/27.

Step-by-step explanation:

Step-by-step explanation:

8 - 3 = 5

you can write any two numbers that also equal to 5.

6-1 = 5

200 - 195 = 5

4 - (-1) = 5

9000 - 8995 = 5

Answer:

x = 45/4

Step-by-step explanation:

2x - 3/4 + x = 2x + 3/2 + 9

- 3/4 + x = 3/2 + 9

- 3/4 + x = 21/2

x = 21/2 + 3/4

x = 45/4

Answer:

Denote the length is a, then the width is a - 8.

The perimeter is more than 184:

=> 2 x ( a + a - 8) > 184

=> 2a - 8 > 92

=> 2a > 100

=> a > 50

=> a = 51

=> Minimum dimension for the length: a = 51

Hope this helps!

:)

Answer:

8

Step-by-step explanation:

7 - -1

When we subtract a negative, it is like adding

7+1

8

Answer:

B

Step-by-step explanation:

The range is the largest number minus the smallest number.

Hope this helps!

Answer:

Its A

Step-by-step explanation:

Suppose you are given the two functions f (x) = 2x + 3 and g(x) = –x2 + 5. Composition means that you can plug g(x) into f (x). This is written as "( f o g)(x)", which is pronounced as "f-compose-g of x". And "( f o g)(x)" means " f (g(x))".

Answer:

The proportion of exam scores that are lower than Irina's score is 0.9938

Step-by-step explanation:

Data

z-score is computed as follows:

z = (x - mean)/sd

z = (95 - 80)/6 = 2.5

We want to find:

P(z < 2.5)

From the table attached:

P(z < 2.5) = 0.9938

Answer: 0.9938

Step-by-step explanation:

So the right answer is 60%

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

The answer would be 60%.Goodluck!

Answer:

+30 +-25

Savings is positive

Buying is negative

Step-by-step explanation:

+30 saved

-25 to buy

+30 +-25

Savings is positive

Buying is negative

Answer:

C

Step-by-step explanation:

Answer:y=-3

Step-by-step explanation:5(y+2/5)=-13

so first you simplify both sides of the equation

(5)(y)+(5)(2/5)=-13

then you distribute

5y+2=-13

then you subtract 2 from both sides

5y+2-2=-13-2

5y=-15

then u divide both side by 5

5y=-15

5       5

y=-3

Answer:

ugh man do I hate iready!!

225/4=56.25

square root of 225 equals 15

225 / 2 equals 112.5

Answer: it’s find the positive square root of 225: I did iReady

Step-by-step explanation:

Answer: D. P = 1 3/4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The volume (V) of a sphere is calculated as

V = [tex]\frac{4}{3}[/tex]πr³ ( r is the radius ), thus

V = [tex]\frac{4}{3}[/tex]π × 21³

   = [tex]\frac{4}{3}[/tex]π ×9261 = [tex]\frac{4(9261)}{3}[/tex]π = 12348π units³ → B

Answer: B: 12,348π units³ which is 38,772.72 units³

Step-by-step explanation:

The formula of the volume of a sphere is V = [tex]\frac{4}{3}[/tex]πr³

Since we know that the radius is 21, we can fill in the given numbers:

V =  [tex]\frac{4}{3}[/tex]π(21)³

Now, the new formula is V =  [tex]\frac{4}{3}[/tex]π(9,261) = 38,772.72

Answer:

There is one variable and that is x

Please mark Brainliest if this helps!

Answer:

There are 3 variables

Step-by-step explanation:

7 (x) X is a variable your equation holds Three X's

Answer:

150.94 or 151 ft

Look at the attached picture

Hope it will help you

Answer:

C.(-3, -3) and (-3,3)

Step-by-step explanation:

When we have a vertical line the slope is undefined.

That means the x values stay the same

C.(-3, -3) and (-3,3)

This has the same x values

m = (y2-y1)/(x2-x1)

   =( 3- -3)/(-3 - -3)

   (3+3)/(-3+3)

   6/0

  undefined

Answer: C

Step-by-step explanation:

1. I'm not completely sure, but these angles seem to be complementary, meaning they add up to 90°. Since 75° + x = 90°, x = 15°.

2. These lines seem to be parallel. ∠4 ≅ ∠1 because they are vertical angles, ∠5 ≅ ∠1 because they are corresponding angles, and because ∠8 ≅ ∠4 (corresponding angles), ∠8 ≅ ∠1 as well. The final answer is ∠4, ∠5, and ∠8. Hope this helps!

Look at the attached picture

Hope it will be helpful to you....

Good luck on your assignment

~pragya

Answer:

-47

Step-by-step explanation:

-7+(-40)=

-7-40=

-47

Hope this helps!

The sum of -7 + (-40) is -47.

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given:

An expression,

-7 + (-40).

To find the sum:

-7 + (-40),

Simplifying,

-7 - 40

= -47.

Therefore, the value is -47.

To learn more about the addition;

brainly.com/question/29464370

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Answer:

No.

Step-by-step explanation:

Since there is a 1 in the tenths place for 0.1, and nothing in the tenths place for 0.02, 0.1 is greater.

The decimal number 0.1 is greater than 0.02. Therefore, the given statement is false.

The given decimal numbers are 0.02 and 0.1.

Similar to comparing other whole numbers, while comparing decimals, one should start with the digits with the highest place value. We first create a place value table with the supplied decimal numbers before starting the comparison. If the digits on the biggest place value match, we go to the digits in the next place to the right. We keep comparing digits until we reach the ones that are different.

Here, 0.1 is greater than 0.02.

Therefore, the given statement is false.

To learn more about the comparison of decimals visit:

https://brainly.com/question/18270620.

#SPJ4

Answer:

Step-by-step explanation:

Use Pythagoras’ theorem

square of hypotenuse = sum of squares of two other sides

let the missing side be d

30^2 = 20^2 + d^2

600 = 400 + d^2

d^2 = 200

d = square root of 200

d = 14.142 cm

Answer:

22.36

Step-by-step explanation:

For this question we need to utilise Pythagoras theorem. Pythagoras theorem states that a² + b² = c² so the sum of the leg's squared will equal the hypotenuse squared. In this question we are given the hypotenuse so we will have to rearrange the equation to find the value of the leg,

→ a² + b² = c²

⇒ Substitute in the values

→ 20² + b² = 30²

⇒ Simplify

→ 400 + b² = 900

⇒ Minus 400 from both sides to isolate b²

→ b² = 500

⇒ Square root both sides to find the value of the leg

→ b = 22.360679775 cm

The length of the missing leg is 22.36 cm to nearest hundredth considering one leg is 20 cm and the hypotenuse is 30 cm.

Answer:

Letters O and E have lines of symmetry ! Vertically & horizontally

Answer:

number of boys who walk to school = 16

Step-by-step explanation:

Chart:

Sudents | Walk | Ride | Total

Girls       | 22     | 29    | 51

Boys      | x        | 9      | 25

Total     | x+22  | 38    | 76