The integer to represent a withdrawal of $25 would be____.
-25
+25

Answer:

3.398

Step-by-step explanation:

log(10) 2500 = log(10) (5^2*10^2) = log(10) 5^2 + log(10) 10^2 = 2*log(10) 5 + 2=3.398

Answer: [tex]\dfrac{8}{3}\ m[/tex]

Step-by-step explanation:

Given

Length of the plank is [tex]6\ m[/tex]

Foot of the flank is [tex]4\ m[/tex] away from the wall

Lizard climbs 2 m up the wall

from the figure, the two triangles are similar

[tex]\therefore \dfrac{2}{6}=\dfrac{x}{4}\\\\\Rightarrow x=4\times \dfrac{2}{6}\\\\\Rightarrow x=\dfrac{4}{3}\ m[/tex]

So, the distance from the wall is

[tex]\Rightarrow 4-x\\\\\Rightarrow 4-\dfrac{4}{3}\\\\\Rightarrow \dfrac{8}{3}\ m[/tex]

Answer:

(8,7)

Step-by-step explanation:

To find the x coordinate of the midpoint

Add the x coordinates of the endpoints and divide by 2

(10+6)/2 = 16/2 = 8

To find the y coordinate of the midpoint

Add the y coordinates of the endpoints and divide by 2

(5+9)/2 = 14/2 = 7

The coordinate of the midpoint is (8,7)

Answer:

x=5.9

Step-by-step explanation:

tan(26)=x/12. x=12*tan(26)=5.9

Answer:

16

Step-by-step explanation:

the quadratic equation –3 = –x2 + 2x can be changed into :

x²-2x-3= 0

a=1, b= -2 , and c = -3

so, the discriminant = (-2)²-4(1)(-3)

= 4 + 12 = 16

Step-by-step explanation:

am not seeing it is not clear capture another video

Answer:

Step-by-step explanation:

Let,

Footprints that Adele will find be = f

So, Footprints that Yumiko finds = 2f = f + f

Since,

As given that,

Yumiko finds 16 Footprints so it will be,

2f = f + f = 16

And,

f = 16 / 2

= 8

Which is half of Footprints found by Yumiko.

So the bar model 1 represents it correct.

Answer:

option 1

Step-by-step explanation:

i did the quiz

Answer: 12 Basil leaves

Step-by-step explanation:

Given

Monica uses 3 basil leaves for every 8 tomatoes

For 32 tomatoes she needs

[tex]\Rightarrow 3\ \text{basil leaves}\equiv8\ \text{Tomatoes}\\\\\Rightarrow 4\times 3\ \text{basil leaves}\equiv4\times 8\ \text{Tomatoes}\\\\\Rightarrow 12\ \text{basil leaves}\equiv 32\ \text{Tomatoes}[/tex]

Thus, she needs 12 basil leaves.

Answer:

1011

Step-by-step explanation:

3x^2 + 2y^2 x^2 - 2y^2

3(7)^2 + 2(3)^2 3^2 - 2(7)^2

3(7^2 + 2 x 3 x 7^2 - 2 x 3)

3(7^2 +6 x 7^2 - 6)

3(7 x 7^2 - 6)

3(7^3 - 6)

3(343 - 6)

3(337) = 1011

​

Answer:

L={∅}

Step-by-step explanation:

Let it be x

Using angle sum theory

[tex]\\ \sf\longmapsto 50+30+x=180[/tex]

[tex]\\ \sf\longmapsto 80+x=180[/tex]

[tex]\\ \sf\longmapsto x=180-80[/tex]

[tex]\\ \sf\longmapsto x=100[/tex]

4x -8 > -40

Add 8 to both sides:

4x > -32

Divide both sides by 4:

X > -8

Answer: x > -8

Answer:

If you want to turn a percentage into a fraction divide by 100:

20%/100 = 0.2

0.2*16 = 3.2$

and if you want to turn a decimal into a fraction multiply by 100.

His discounted price will be 3.2$.

Have a nice day! :-)

and if you have questions please ask!

Percentage is the part of a whole given as a fraction of the hundred. The discounted price of the CD is $12.8.

Andrew has a coupon for 20 % off of the price of any CD.

The price of the CD purchased by the Andrew is $16.

Percentage is the part of a whole given as a fraction of the hundred.

As the Andrew has a coupon of 20 percent, the 20 percent will be off whatever he buys. Now the discount price for the $16 priced CD is equal to the 20 percent of the 16. Thus the discount is,

[tex]d=\dfrac{16\times20}{100} \\ [/tex]

[tex]d=3.2[/tex]

Thus the discount on the CD is 3.2.

Now the discounted price of the CD is equal to the difference of the price of the CD and the discount. Thus the discounted price of the CD is,

[tex]P=16-3.2[/tex]

[tex]P=12.8[/tex]

Thus the discounted price of the CD is $12.8.

Learn more about the percentage here;

https://brainly.com/question/1691136

Answer:

An octagon has eight interior angles.

Interior angle total sum = (n-2) x 180, where n = number of sides.

Since an octagon has 8 sides, we have:

6 x 180 / 8, which is 135.

The answer is 135.

Let me know if this helps!

Answer:

[tex] \frac{1}{6} [/tex]

Step-by-step explanation:

[tex] \frac{7}{5} \times \frac{5}{12} - \frac{3}{12} \times \frac{7}{5} - \frac{1}{15} = \frac{7}{5} ( \frac{5}{12} - \frac{3}{12} ) - \frac{1}{15} = \frac{7}{5} \times \frac{1}{6} - \frac{1}{15} = \frac{7}{30} - \frac{2}{30} = \frac{5}{30} = \frac{1}{6} [/tex]

Answer:

x = -1

Step-by-step explanation:

-Subtract 1 from both sides of the equation

x + 1 = 0

x + 1 - 1 = 0 - 1

-simplify

x = -1

Answer:

B and C

Step-by-step explanation:

25% of 60 = 15

B. 25/100*60 = 15

C. 0.25*60 = 15

Answer:

Final solution is ---> 17

See attached picture for step-by-step explanation

Answer:

17

Step-by-step explanation:

A fraction bar is like parentheses

Complete the  items above and below it first

43-1

------- + 10

4+2

42

----- + 10

6

Then divide

7+10

Then add

17

Answer:

1. y=18

2. x=5

3. y=2

Step-by-step explanation:

y=2x

1.

As you have x, substitute (replace) x for 9 to find y.

2×9=18 (We times 2 by 9 because, in algebra, when a number is next to a letter, it means to times).

So, y=18

2.

As we know that y=10, do the same thing and substitute.

10=2x

Isolate x by dividing:

10÷2=5

So, x=5

3.

Substitute x:

2×1=2

So, y=2

Hope this helps :)

Answer:

It is the diagram A

Answer:

864 ft³ is the volume

Step-by-step explanation:

Volume = width · height · length

= 12 · 9 · 8

= 864

Answer:

Step-by-step explanation:

Volume of rectangular solid = length * width * height

                                              = 9 * 12 * 8

                                              = 864 ft³

Answer:

-1

Step-by-step explanation:

1.25(x+1.5)=0.625

(x+1.5)=0.5

x=-1

Answer:

Investment in company P = 12,000

Investment in company Q = 24,000

Step-by-step explanation:

Given that,

Total investment = 36,000

Dividend paid by company P = 11.25%

Dividend paid by company Q = 10.5%

Total return = 10.75%

Now, let investment made in company P be 'a' and company 'Q' be 'b.' So,

A.T.Q.

a + b = 36,000  ...(i)

11.25% of a + 10.5% of b = 10.75% of 36000  ...(ii)

On simplification,

a + b = 36,000

11.25% of a + 10.5% of b = 3870

Now,

11.25% of a + 10.5% of (36000 - a) = 3870

⇒ 0.1125 * a + 0.105 * (36000 - a) = 3870

⇒ 0.1125 a + 3780 - 0.105a = 3870

⇒ 0.1125a - 0.105 a - 3870 - 3780

⇒ 0.0075 a = 90

⇒ a = 90/0.0075

∵ a = 12000

Since, a = P = 12,000

Q = b = (36000 - a)

= 36000 - 12000

= 24,000

Thus,

Investment in company P = 12,000

Investment in company Q = 24,000

Answer:

Amount invested in P = 12,000

Amount invested in Q = 24,000

Step-by-step explanation:

Given:

Amount invested = 36,000 in two companies P and Q

P pays dividend = 11.25%

Q pays dividend = 10.5%

Total return = 10.75%

Find:

Amount invested in each company

Computation:

Total return = 36,000 x 10.75

Total return = 3870

Assume;

Amount invested in P = a

So,

Return in P = a x 11.25%

Return in P = 0.1125a

Return in Q = [36000 - a]10.5%

Return in Q = 3,780 - 0.105a

Total return = Return in P + Return in Q

3,870 = 0.1125a + 3,780 - 0.105a

90 = 0.0075a

a = 12,000

Amount invested in P = 12,000

Amount invested in Q = 36,000 - 12,000

Amount invested in Q = 24,000

Answer:

y = 1/3x + 2

Step-by-step explanation:

9514 1404 393

Answer:

  ∠BDC = 46°

Step-by-step explanation:

Angle BDC intercepts arc BC, identified as having a measure of 92°. The angle's vertex, point D, is on the circle, so the angle is called an "inscribed angle." The measure of an inscribed angle is half the measure of the arc it intercepts.

  ∠BDC = (1/2)arc BC = 1/2(92°)

  ∠BDC = 46°

Answer:

x + 90 + (x minus 10)= 180° can be used to find the value of x.

Answer:

A) X+90+ (x-10) - 180

C) 2x+80 = 180

D) x+90 = 2x+40

Step-by-step explanation:

Answer:

Combining these results, it follows that there are 676 x 1000 = 676,000 different license plates possible.

By analyzing the graph we conclude that the value that is an input is x = 4.

For the inputs, we need to look at the horizontal axis. In the graph we can see a closed dot at x > 0 (we can't see the exact value).

This means that the minimum of the domain is positive.

From that, we conclude that the only correct option, that we can be sure that belongs to the domain (set of the inputs), is x = 4, the third option.

If you want to learn about domains:

https://brainly.com/question/1770447

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