What is the value of a in the
solution to the system of
equations?
a − 3b = −5
3a + 2b = 5

a. 5/3
b. -2
c. -3/5
d. 1

Answer:

Step-by-step explanation:

Step 1: Divide both sides by 6.

[tex]\frac{6x^2}{6}[/tex]   =   [tex]\frac{294}{6}[/tex]

[tex]x^{2}[/tex] = 49

Step 2: Take the square root.

x = [tex]\sqrt{49}[/tex]

x=7 (because 7×7=49

Answer:

A. [tex]Log_p N = b \ and \ b^p = N[/tex]

Step-by-step explanation:

A. The given options are;

[tex]Log_p N = b \ and \ b^p = N[/tex]

For [tex]Log_p N = b[/tex] we have;

[tex]p^b = N[/tex]

However;

[tex]b^p = N[/tex]

Where, p ≠ b

[tex]p^b \neq b^p[/tex]

Therefore;

N ≠ N for the given pair and the pair are therefore, not equivalent

B. x = √y and [tex]x = y^{1/2}[/tex]

We note that

x = √y = [tex]y^{1/2}[/tex]

We have;

x = [tex]y^{1/2}[/tex], by transitive property

Therefore, the pair, x = √y and [tex]x = y^{1/2}[/tex] are equivalent

C. [tex]Log_b N = p \ and \ b^p = N[/tex]

From [tex]Log_b N = p[/tex], we have;

[tex]b^p = N[/tex]

Therefore, [tex]Log_b N = p \ and \ b^p = N[/tex] are equivalent pairs as [tex]b^p = N[/tex] can be obtained from [tex]Log_b N = p[/tex]

D. ㏑x = y and x = [tex]e^y[/tex]

[tex]ln \ x = ln_e \ x = y[/tex], therefore, by rules of logarithm, we have;

x = [tex]e^y[/tex]

Therefore, ㏑x = y and x = [tex]e^y[/tex] are equivalent pairs, as x = [tex]e^y[/tex] can be obtained from ln x.

Therefore;

The option which are not equivalent pair is option is [tex]Log_p N = b \ and \ b^p = N[/tex]

Answer:

B. 135

Step-by-step explanation:

Answer:

45x8 i  think

Step-by-step explanation:

Answer:

615.44 in²

Step-by-step explanation:

The shape of Captain America's shield = Circular

The area of a circle = πr²

The radius of the whole shield = 14 inches.

The first ring = Red ring

Hence, the area of the red ring =

π = 3.14

3.14 × 14²

= 615.44 in²

The area of the space he needs to paint red is 615.44 in²

Answer:

I will subtract both sides by 10. X=-10

Step-by-step explanation:

X= -10 because if you subtract it to -x it will cancel out the negative.  

Answer:

I will divide both sides by -1.

x = -10

Step-by-step explanation:

To solve this, we have to isolate x on one side of the equation. In this equation, 10 = -x.

Remember that the coefficient of a single variable is always 1, so 1x = x. We have -x, which means it's actually -1x. Solve using -1x instead of -x.

[tex]-x=10[/tex]

[tex]-1x=10[/tex]

Divide both sides by -1 to isolate x.

[tex]\frac{-1x}{-1} =\frac{10}{-1}[/tex]

Simplify.

[tex]x = -10[/tex]

x is equal to -10.

The answer is I will divide both sides by -1.

x = -10

I hope this helps :)

Answer:

∠1 = 52

∠2 = 128

∠4 = 128

Step-by-step explanation:

∠3 and ∠1 are vertical angles

As we now vertical angles are congruent

So if ∠3 = 52°, then ∠1 also equals 52°

∠3 and ∠4 are supplementary angles

supplementary angles add up to equal 180

Thus, ∠3 + ∠4 = 180

If ∠3 = 52°

Then 52 + ∠4 = 180

180 - 52 = 128

Hence, ∠4 = 128

∠4 and ∠2 are vertical angles

Like stated previously vertical angles are congruent

So if ∠4 = 128 then ∠2 also equals 128

Answer:

sheeeeeeeeeeeeeeeeeeesh

Step-by-step explanation:

Answer:

g

Step-by-step explanation:

Answer:

can you put it in English

Answer:

4/23

Step-by-step explanation:

Probability of choosing a red marble = # of red marbles / total # of marbles

We are told that there are 4 red marbles and 19 blue marbles

So the # of red marbles = 4

And the total # of marbles = 4 + 19

4 + 19 = 23

So there are a total of 23 marbles

Recall that probability of choosing a red marble is equal to # of red marbles / total # of marbles

Hence, the probability of choosing a red marble is 4/23

Note: 4/23 is already in it's simplest form so no simplifying has to be done.

Answer:

14/33

Step-by-step explanation:

There are 14 red marbles and 19 blue marbles, meaning that there are 33 marbles in all:

14 + 19 = 33

You are randomly choosing a red marble out of the total amount of marbles. 14/33

Note that you cannot simplify the fraction anymore, and so 14/33 is your answer.

~

Commercials: 9 commercials per hour

tutoring: 750 dollars

Dog: 7 miles

Answer: b and d

Step-by-step explanation: it’s t only two that make since

The answer is [tex]a^{2} -(2*4)[/tex]

Definition of square and rectangle

A plane figure having four equal sides and four right (90°) angles in geometry is called a square.

A rectangle is a two-dimensional shape with four sides, four corners, and four right angles. A rectangle's opposite sides are the same length, with one pair being longer than the other.

The area of given square= a²

The area of rectangle= 2*4

Hence the area of shaded region= [tex]a^{2} -(2*4)[/tex]

To know more about the finding shaded region area

https://brainly.com/question/23332510

#SJP2

Answer:

subject?

Step-by-step explanation:

Step-by-step explanation:

your mom gives you 200 dollars to start your candy business. you earn 2 cents for every piece of candy you sell. how much money, b will you have if you've sold x candy

or

the product of .02 and x plus 200 equals b.

Answer:

b is equal to 200 plus the product of 0.02 and x.

Answer:

Step-by-step explanation:

Outlier

Answer:

d

Step-by-step explanation:

it's 4 because I'd you put the numbers from least to greatest its in the middle

Answer:

2

Step-by-step explanation:

arrange the numbers in order

count how many numbers you have

if have ood number divide by 2 and round up to get the position of the median number

Answer:

a) identity property of multiplication

b) commutative property in addition

Answer:

75°

Step-by-step explanation:

the sum of the interior angles is always 180

43+62= 105

180-105=75

Answer:

it's 75

Step-by-step explanation:

we know that 180 is equal to angle one plus two plus three we can plug in

Answer:

105 divide 12 = 8.75 so therefore, there will be 8 trips before it is jill's turn

Answer:

8 trips

Step-by-step explanation:

Divide 105 by 12 to find how many trips the train will take:

105/12

= 8.75

This means that the train will take 8 trips before it is Jill's turn. Since you can only have a whole number of trips, we have to round 8.75 down to 8.

So, the train will take 8 trips before it is Jill's turn.

Answer:

15wy

Step-by-step explanation:

if toh take 19 and divide it by 16 that's how I got my answer on edunity

Answer:

don't worry I'm on my way step bro ! where'd you get stuck ?! (;

Answer:

x = 88

Step-by-step explanation:

Opposite angles in a quadrilateral inscribed in a circle are supplementary

Supplementary meaning that the sum of the two angle measures is 180

The opposite angle of "x" is ∠B which has a measure of 92°

Thus, 92 + x = 180

180 - 92 = 88

Hence, x = 88  

Answer:

Age of a younger person (wife) is [tex]36[/tex] years.

Step-by-step explanation:

The sum of a man and his wife is [tex]81[/tex] years.

Also, ratio of their ages is [tex]5:4[/tex]

Let ages of a man and his wife be [tex]5x[/tex] and [tex]4x[/tex].

Therefore,

[tex]5x+4x=81\\9x=81\\x=9[/tex]

Age of man [tex]=5x=5(9)=45[/tex] years

Age of his wife [tex]=4x=4(9)=36[/tex] years.

So,

age of a younger person (wife) is [tex]36[/tex] years.

Answer:

Area  =  40mm

Example:

The below-solved example problem may be useful to understand how the values are being used in the mathematical formulas to find the trapezoid area.

Example Problem :

Find the area of a trapezoid having the bottom length a = 15 cm, top length b = 12 & height h = 9 cm?

Solution :

The given values

bottom length a = 15 cm

top length b = 12 cm

height h = 10 cm

Step by step calculation

formula to find area = ((a + b)/2) h

substitute the values

= ((15 + 12)/2) x 9

= 121.5 cm2