Answer asap will mark as brainliest if correct

Answer:

a = 4/27 - b/54

Step-by-step explanation:

27a+1/2b=4

Subtract 1/2 b from each side

27a+1/2b - 1/2 b=4-1/2 b

27a = 4 - 1/2 b

Divide each side by 27

27a/27 = 4/27 - 1/2 b/27

a = 4/27 - b/54

Answer:

CD = 9

Step-by-step explanation:

ΔADE is similar to ΔBCD

Such that:

AD is similar to CD

BD is similar to ED

AE is similar to BC

Taking the proportion of their sides to find the unknown sides CD

=> [tex]\frac{6}{2} = \frac{CD}{3}[/tex]

Cross Multiplying

=> 2(CD) = 3*6

=> CD = 18/2

=> CD = 9

Answer:

8/49

Step-by-step explanation:

4/7 ÷7/2

Copy dot flip

4/7 * 2/7

Multiply the numerators

4*2 = 8

Multiply the denominators

7*7= 49

numerator over denominator

8/49

Answer: 8/49

Step-by-step explanation: When dividing by a fraction, we can change the division sign to multiplication and flip the second fraction.

So 4/7 ÷ 7/2 means the same thing as 4/7 · 2/7.

So when dividing by a fraction, we can just multiply by the

reciprocal of that fraction or that fraction flipped.

Now multiply across the numerators

and denominators to get 8/49.

Since 8/49 is in lowest terms, it's our final answer.

Answer:

One half of X are employees.

One third of X are employee's spouses.

We add one half PLUS one third:

1/2 + 1/3 = 3/6 + 2/6 = 5/6

Then we subtract that fraction from one whole, or 1,

to see what fraction is left.  That is, we say

1 minus 5/6

which is

1 - 5/6

Now write 1 as 6/6

6/6 - 5/6

We get 1/6

So 1/6 is left.  Now we need to make that into

a percent by multiplying it by 100 and tacking on a "%"

1/6 � 100

1/6 � 100/1

100/6

50/3

16 2/3 %

So 16 2/3 % of the people in

attendance are neither employees

nor employee's spouses.

Now let's check:

1/2 are employees.  That's 50%

1/3 are wmployee's spouses. That's 33 1/3%

15 2/3 % are neither employees nor employee's spouses.

Add them up

50     %

33 1/3 %

16 2/3 %

--------

99 3/3 %

And 99 3/3% = 100%

Step-by-step explanation:

Answer:

5x - 3y = -21

5x - 3y

= 5(-9) - 3(-8)

= -45 + 24

= -21

the answer is (-9,-8)

Answer:

all real numbers

Step-by-step explanation:

5|2x + 4| > -10

Divide by 5

5/5|2x + 4| > -10/5

|2x + 4| > -2

An absolute value is always greater than a negative number so the solution is all real numbers

The cargo plane's speed was 500 mph.

Answer: A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

just got it right EDG 2021

Answer:

B. False

Step-by-step explanation:

Given

[tex]Points: (x_7 - y_i),(4,8)[/tex]

Required

Is the distance between them [tex]\sqrt{(x_7 - 8)^2 + (y_1 - 4)^2}[/tex]

Given that there are two points, the distance between them is calculated using

Distance = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

In this case;

[tex](x_1,y_1)= (x_7 - y_i)\\(x_2,y_2) =(4,8)[/tex]

Substitute these in the given formula

Distance = [tex]\sqrt{(4- x_7)^2 + (8 - y_1)^2}[/tex]

Comparing this with the given formula, both are not the same;

Hence, the formula is false and the correct formula is of the form [tex]\sqrt{(4- x_7)^2 + (8 - y_1)^2}[/tex]

Answer:

Option D. 91/4950

Step-by-step explanation:

The following data were obtained from the question:

Barcelona (B) = 23

Real Madrid (R) = 23

Liverpool (L) = 22

Manchester City (M) = 18

Juventus (J) = 14

Total (T) = 100

Next, we shall determine the probability of the first pick i.e probability of Juventus. This is illustrated below:

P(J1) = n(J) /n(T)

P(J1) = 14/100

Now, the picking is done without replacement. The next pick being Juventus will reduce in number and likewise the total number will also reduce i.e

Juventus = 13

Total = 99

Therefore, the probability that the 2nd pick is Juventus is given below:

P(J2) = 13/99

Now, we can obtain the probability that the 1st and 2nd student prefer Juventus as follow:

P(J1 and J2) = P(J1) x P(J2)

P(J1) = 14/100

P(J2) = 13/99

P(J1 and J2) = P(J1) x P(J2)

P(J1 and J2) = 14/100 x 13/99

P(J1 and J2) = 7/50 x 13/99

P(J1 and J2) = 91/4950

Therefore, the probability that the 1st and 2nd student prefer Juventus is 91/4950

Answer:

A , B and C are similar to each other

Step-by-step explanation:

Please give me branlest

Answer: 84 3/8 or 84.375 inches cubed

Step-by-step explanation:

4 1/2 * 5 = 22 1/2

22 1/2 * 3 3/4 = 45/2 * 15/4 = 675/8

675/8 = 84 3/8 or 84.375

Answer:

y-5 = 3/2(x+3)

Step-by-step explanation:

The point slope form of the equation for a line is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y-5 = 3/2(x--3)

y-5 = 3/2(x+3)

Answer:

y-5 = 3/2(x+3)

Step-by-step explanation:

I did ze math

Answer: 44%

Step-by-step explanation:

Cost of stock = 178

Present value = 256.32

Increase in value = 78.32

= 78.32/178 x 100 = 44%

Answer:

44%

Step-by-step explanation:

Well first you have the starting value $178 and the new value $256.32.

So 256.32 - 178 is 78.32.

So our fraction is 78.32/178.

So we divide them which is .44.

And we have to make a percent which is 44%.

Answer:

36

Step-by-step explanation:

I cant be asked

Answer:

the answer is x = ( 5 + r )²

Step-by-step explanation:

I hope this was helpful

Answer:

63 minutes or 1 hour 3 minutes

Step-by-step explanation:

We can use ratios to solve

18 minutes    x minutes

--------------- = --------------

2 bowls          7 bowls

Using cross products

18*7 = 2x

Divide by 2

18/2 *7 = x

63 minutes

Answer: 63 minutes or 1 hour and 3 minutes

Step-by-step explanation:

18 minutes is how long it takes to make 2 bowls. To find out how long it takes to make 1 bowl, divide by 2.

18 / 2 = 9

Now multiply that by 7 to find out how long it takes to make 7 bowls.

9 * 7 = 63

63 minutes

Answer:

volume of water in the tank when it its half full

The capacity of the water tank = (5.04) /2 = 2.52 m³

2,520 litres

Step-by-step explanation:

Dimensions of a water tank:

Length (l) = 2.0 m,

wide (w) = 1.4 m,

Depth (h)= 1.8 m,

Volume of the tank (V)

LWH

2.0m × 1.4m × 1.8 m

= 5.04 m³

= 5.04 × 1000 litres

/* 1m³ = 1000 litres */

5,040 litres

Therefore,

The capacity of the water tank = 5.04 m³

5,040 litres

Answer:

12

Step-by-step explanation:

Since this is simple interest the equation will be P*T*R=I  T=time which is 1 year. P=money invested or borrowed  (aka princable) which is 400$. R=Annual rate is 3% per year and I= Interest after the number of years (aka answer) Hope this helps :)

Answer:

I = 400 x 0.03 x 1

Step-by-step explanation:

$400 is the principal, 0.03 is the decimal value for the annual rate, and the time is 1 year.

Answer: $479.20

Step-by-step explanation:

[tex]499.20*0.04=19.968[/tex]

[tex]round \\[/tex] [tex]19.968[/tex]

= 20

tax= $20

[tex]499.20-20=479.2[/tex]

The price of the TV before tax was $479.20

Answer:

D. 12

Step-by-step explanation:

D. 12    as 4 x 3 = 12

Proof

1 1

1 2

1 3

1 4

2 1

2 2

2 3

2 4

3 1

3 2

3 3

3 4

Sandwiches = 12

Answer:

12

Step-by-step explanation:

4*2=12

please mark me brainliest :)

Answer:

495 students

Step-by-step explanation:

The 4 part of the ratio is the number of boys.

Divide the number of boys by 4 to find the value of one part of the ratio.

220 ÷ 4 = 55 ← value of 1 part of the ratio, thus

5 parts = 5 × 55 = 275 ← number of girls

Number of students = 220 + 275 = 495

Answer:

Step-by-step explanation:

[tex]220 \: boys \\ 4:5 = 4 + 5 \\ boys \: = \frac{4}{9} \times x = 220 \\ = \frac{4x}{9} = \frac{220}{1} [/tex]

[tex]4x = 1980 \\ \frac{4x}{4} = \frac{1980}{4} \\ x = 495 \\ total \: no \: of \: students \: = 495 \\ [/tex]

Both of them can complete 7/12 of the job in  2 hours.

Rate is the mathematical term use to show how one quantity varies with a standard quantity.

Analysis:

If He can do the job in 8 hours, then he can do 1/8 of the job in 1 hour

If his friend can do the same job in 6 hours, then he can do 1/6 of that job in 1 hour.

So both of them would do the same job combine in 1 hour = 1/8 + 1/6

LCM of 6 and 8 is 24 so that 3/24 + 4/24 = 7/24

In 2 hours they would complete = 7/24 x 2 = 7/12

In conclusion, both of them can do 7/12 of that job in  2 hours.

Learn more about rate: brainly.com/question/24304697

#SPJ1

Answer: C

Step-by-step explanation:

C) All four sides are congruent

A rectangle does not have all four sides that are congruent to each other (In harmony) however a square does because all it's sides are equal!

A rectangle does not have equal sides, only it's parrel sides are equal to each other.

If  this really helped please mark me brainliest!

Answer:

C. All four sides are congruent

Answer:

The total in the account after 10 years would be: $14,190.68

Step-by-step explanation:

Recall the formula for continuous compounding:

[tex]A=P\,e^{r\,t}[/tex]

where "A" is the accrued value after t years (what we need to find), "P" is the principal invested (in our case $10,000), "r" is the interest rate in decimal form (in our case r = 0.035), and "t" is the time in years (in our case t = 10). Therefore the formula becomes:

[tex]A=P\,e^{r\,t}\\A=10000\,\,e^{0.035\,*\.10}\\A=14190.68[/tex]

Therefore the total in the account after 10 years would be: $14,190.68

Answer:

b)7c∛d⁵

or

c) 7c∛d⁵

Both options are the same

Step-by-step explanation:

In the above diagram, we are asked to simplify this:

= ∜c × 2d⁴/³ ×1/2c¾ ×7∛d

Collect the like terms

=  ∜c × 1/2c³/⁴ × 2d⁴/³ × 7∛d

= c¹/⁴ × 1/2c³/⁴  ×  2d⁴/³ × 7d¹/³

= [1 × 1/2c(¹/⁴ + ³/⁴)] × [2 × 7d(⁴/³ +¹/³)

= 1/2c(¹) × 14d(⁵/³)

= 1/2c× 14d(⁵/³)

Collect the whole number together

= 1/2× 14 [C   × d(⁵/³)]

= 7cd⁵/³

Writing it in a radical form

= 7c∛d⁵

Step-by-step explanation:

[tex] log(x) = 2 \\ {10}^{2} = x \\ x = 100[/tex]

then for y:

[tex] log( y) = - 1 \\ {10}^{ - 1} = y \\ y = 0.1[/tex]

so:

[tex]xy - 100 {y}^{2} \\ = 100 \times 0.1 - 100 \times {(0.1)}^{2} \\ = 10 - 100 \times 0.01 \\ = 10 - 1 \\ = 9[/tex]

Answer:

(or 132 inches)

Step-by-step explanation:

Since there are 6 bracelets to make, we can multiply 22 and 6 to get 132.

The correct unit / format to answer this is in feet and all we have right now is the amount of inches we must convert.

132 inches converted into feet can be found by dividing by the amount of inches there are in a 1 foot.

Since there are 12 inches in a foot, we can divide 132 by 12 to get 11.

Answer:[tex]2*3^{2} -1[/tex]

Step-by-step explanation:

calculate the power: 2*9-1

calculate the product or quotient:18-1

calculate the sum or difference:17

answer:17

Answer:

GJ

Step-by-step explanation:

The "Side Splitter" Theorem says that if a line intersects two sides of a triangle and is parallel to the third side of the triangle, it divides those two sides proportionally.

In this case, lines EF and HJ are parallel, H is on side EG and J is on side GF; then using the side-splitter theorem:

[tex] \frac{GH}{HE} = \frac{GJ}{JF} [/tex]

Answer:

It is C

Step-by-step explanation:

Took it on Edg