20 POINTS

Solve for p.

98 = 4p + 38

Answer:

as decimal = 2

as fraction = 1/2

9514 1404 393

Answer:

  see below

Step-by-step explanation:

The applicable properties of exponents are ...

  (a^b)^c = a^(bc)

  (a^b)(a^c) = a^(b+c)

  (a^b)/(a^c) = a^(b-c)

__

  [tex](-2^2)^{-6}\div(2^{-5})^{-4}=2^{-12}\div2^{20}=2^{-12-20}=\boxed{2^{-32}}\\\\2^4\cdot(2^2)^{-2}=2^{4+2(-2)}=2^0=\boxed{1}\\\\(2^2)^2\cdot (2^3)^{-3}=2^{2(2)+3(-3)}=2^{4-9}= \boxed{2^{-5}}\\\\(-2^{-4})^{-2}\cdot(2^2)^0=2^{(-4)(-2)}\cdot 1= \boxed{2^8}[/tex]

__

Please note that ...

  [tex](-2^2)^{-6}=\dfrac{1}{(-4)^6}=\dfrac{1}{4096}=2^{-12}[/tex]

That is, since the outside exponent is even, the sign is immaterial. This is also true for the other expression containing -2. The result is positive.

Answer: 14 2/5 books per year

Step-by-step explanation:

From the question, we are informed that a middle school student reads 48 books in 31/3 years. The students reading rate in books per year will be calculated as:

= Total books read / Number of years

= 48 ÷ 3 1/3

= 48 ÷ 10/3

= 48 × 3/10

= 144/10

= 14 2/5 books per year

Answer:

error

Step-by-step explanation:

Answer: The rate of change = 2

✔️The rate of change is increasing because the value is a positive value.

✔️The rate of change is also constant over 1.5 ≤ x ≤ 3 since the line is straight.

Step-by-step explanation:

Answer:

50 adults and 250 students tickets were sold

Step-by-step explanation:

Given data

Let the number of adults be x and students be y

3x+2y=650------1

x+y= 300---------2

from 2

x= 300-y

put the value of x in 1

3(300-y)+2y= 650

900-3y+2y= 650

900-y= 650

900-650= y

y=250

put the value of y in 2

x+250= 300

x= 300-250

x= 50

Hence 50 adults and 250 students tickets were sold

Answer:

she hit the flo'

next thing yk

shawdy got

low

low

low

low

low

low

low

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

the given figure is of an isoceles triangle.

The two angles opposite are congruent(i.e78 degrees) .

That is the sides opposite to them are also congruent.

I. e 4x + 23 = 10x - 1

I. e 4x - 10x = -1 -23

I. e -6x = -24

I. e -x. = -24/6

Dividing by 6 to 24 we get,

-x = -4

therefore by removing the minus sign from both the sides,

the answer comes x = 4

Answer:

49,000 square cm

Step-by-step explanation:

To get the area of the dilated rectangle, we need the dilated dimensions

We simply multiply the scale factor by the dimensions

we have this as;

3.5 * 50 = 175 cm

and

3.5 * 80 = 280 cm

The area of the dilated rectangle is thus;

280 * 175 = 49,000 cm^2

Answer:

Step-by-step explanation:

slope=(2-(-2))/(-3-9)=4/(-12)=-1/3

eq . Of line is y-(-2)=-1/3(x-9)

or y+2=-1/3 x+3

y=-1/3x+3-2

y=-1/3 x+1

Answer: [tex]\overline{AC}=[/tex] 12.5

Step-by-step explanation: The triangle ABC and its altitude [tex]\overline{BD}[/tex] is represented in the figure below.

Altitude is a segment of line that link a vertex and the opposite side, forming a right angle.

So, because of [tex]\overline{BD}[/tex], now we have two similar triangles, which means that ratios of corresponding sides are equal:

[tex]\frac{\overline{BD}}{\overline{BC}} =\frac{\overline{AD}}{\overline{BD}}[/tex]

[tex]\overline{BD}^{2}=\overline{BC}.\overline{AD}[/tex] (1)

This is always true for a right triangle and a altitude drawn to the hypotenuse.

Triangle BDC is also right triangle. So, we can use Pythagorean theorem to determine the missing side.

[tex]\overline{BC}^{2}=\overline{CD}^{2}+\overline{BD}^{2}[/tex]

[tex]\overline{BD}^{2}=\overline{BC}^{2}-\overline{CD}^{2}[/tex] (2)

Substituting (2) into (1):

[tex]\overline{BC}^{2}-\overline{CD}^{2}=\overline{BC}.\overline{AD}[/tex]

We want to find f, so:

[tex]\overline{AD}=\frac{\overline{BC}^{2}-\overline{CD}^{2}}{\overline{BC}}[/tex]

[tex]f=\frac{10^{2}-5^{2}}{10}[/tex]

f = 7.5

The length of [tex]\overline{AC}[/tex] is

[tex]\overline{AC}=f+5[/tex]

[tex]\overline{AC}=7.5+5[/tex]

[tex]\overline{AC}=12.5[/tex]

The length of the hypotenuse of triangle ABC is 12.5 units.

Answer:

x = 20

Step-by-step explanation:

Answer:

its the second option thats the answer

Answer:

B

Step-by-step explanation:

because its rellevant :)

Answer:

B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

D=m/v

D=20kg/5m3

D=4kg/m3

A

Answer:

BODMAS rule

Step-by-step explanation:

There are four basic rules in mathematics, Addition, subtraction, Multiplication and Division. All these operations can be used together or separately depending on the problem. When all the operation are required in the problem then BODMAS rule is applied to simplify the problem. BODMAS rule determines that operation will be performed according to the rule : Division, Multiplication, Addition and Subtraction. First operation which will be performed is division and last will be subtraction. This rule is same for all types of problems.

Answer:

(x+6)(x+8)

Step by step explanation:

Because 6 + 8 is the 14 in the middle and 48 is 6 x 8 and you thats all you need just put the x's at the beginning

Answer:

For those who were looking for x^2+14x+48

The answer is:

Answer:

[tex] \sqrt{x} [/tex]

Step-by-step explanation:

the square root of what ever the area is. Area is length times width, but if all sides are the same then you just have to find the square root.

Answer:

n-2

Step-by-step explanation:

N sides polygon has n-2 triangles

Answer:

2400

Step-by-step explanation:

Answer:

2400

Step-by-step explanation:

240*10=2400

Answer:

0.1

Step-by-step explanation:

its out of 10

Answer:

Fraction: 1/10

Decimal: 0.1

Percentage: 10%

Step-by-step explanation:

I think this is what you meant if i'm wrong just correct me

Answer:

7/20 or 7 out of 20 could be graphic novels

Step-by-step explanation:

Answer:

S, T & R

Step-by-step explanation:

T is 1/2 of S and R is 1/2 of T

good luck, i hope this helps :)

Answer:

B

Step-by-step explanation:

I just took the test and teacher said it

Answer:

b

Step-by-step explanation:

/////////////////////////////////////////////

Answer:

80.95

Step-by-step explanation:

Percentage increase = [tex]\frac{New Value - Old Value}{Old Value}[/tex] *100

=> (38-21)* 100/21 = 80.9523%

The answer round it to the nearest 100th = 80.95%

Hi there!

Step By Step:

We know that 215 pounds are about 215 strawberries since every strawberry are about 1 pound.

Let think about this... 215 pounds are 215 strawberries.

If his brother ate 56 of the strawberries, it means that his brother ate 56 pounds of the strawberry.

We can also think like this... 56/215

Final Result: 56 pound sof strawberries.

Complex fraction.

Hope this helped!

Answer:

1. 234.57

2.150.79

3. too lazy... lol sorry

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Answer: No

Step-by-step explanation:

Answer: im bad at math sowwy

Step-by-step explanation:

Answer:

[tex]0.6875[/tex]  OR:  [tex]0.7[/tex]

Step-by-step explanation:

[tex]0.6875\\0.688\\0.69\\0.7[/tex]