Combine like terms and write an equivalent expression with fewer terms: 5 + 2x + 7 + 4x

Answer:

34 degrees; 56 degrees

The measures of each of the acute angles are 56 degrees and 34 degrees.

Step-by-step explanation:

The measures of a triangle add up to 180 degrees.

One angle has the measure of 90 degrees since it is marked as a right angle.

Using this info we can create an equation to solve for x.

(19x-1)+(13x-5)+90=180

Now solve for x.

32x-6+90=180

32x=96

x=3

Now to find the measure of each angle subsitute the value of x.

(19x-1)=19*3-1=56 degrees

(13x-5)=13*3-5=34 degrees

The measures of each of the acute angles are 56 degrees and 34 degrees.

Answer:

19x - 1 ➡ 19 × 3 - 1 = 56°

13x - 5 ➡ 13 × 3 - 5 = 34°

Step-by-step explanation:

The given triangle is a right triangle which means one of the angle has a measurement of 90° and since the sum of interior angles in a triangle is equal to 180° the sum of other two angles must be 90°

19x - 1 + 13x - 5 = 90 add like terms

32x - 6 = 90 add 6 to both sides

32x = 96 divide both sides by 32

x = 3

19x - 1 ➡ 19 × 3 - 1 = 56°

13x - 5 ➡ 13 × 3 - 5 = 34°

Step-by-step explanation:

4(sin⁴ 60° + cos⁴ 60°) = 1 + 3(sin²60° - Cos² 60°)​

sin 60°=[tex]\frac{\sqrt{3} }{2}[/tex]

Cos 60°= [tex]\frac{1}{2}[/tex]

​[tex]4(( \frac{\sqrt{3} }{2}) ^{4} +(\frac{1}{2}) ^{4} )=1+3(( \frac{\sqrt{3} }{2}) ^{2} +(\frac{1}{2}) ^{2} )[/tex]

then do it by the calculator and they will be equal 2.5

I hope it will help

Answer:

D

Step-by-step explanation:

1.5% of 55,000 is 825

add 825 to 500 it totals to 1325

9514 1404 393

Answer:

  no

Step-by-step explanation:

The Euler Gamma is a named irrational constant whose value is approximately ...

  0.57721566490153286060651209008240243104215933593992...

Answer:

41% because if you put both of those numbers a decimal like this 0.37 and 0.41

It's greater

Step-by-step explanation:

Answer:

41%

Step-by-step explanation:

percentages are out of 100.

41% is equal to 0.41

and 0.41 is greater than 0.37

Answer:

223.2725

Step-by-step explanation:

223.2725

Answer:

30 ÷ 6 =5 so

5 is to the power 6

Answer:

It would be $1,590.75 more if it were compounded quarterly than monthly.

Step-by-step explanation:

In order to solve this problem, you need to understand the Compound Interest Formula.

[tex]A= P(1 + \frac{r}{n})^t[/tex]

Where A is the Amount, P is the principal or the initial amount received, r is the rate, n is the number of times (per year) it is compounded, and t is the time in years.

The question gives you all of the information to input into the formula. You have the principal, $5000, the rate, 6% (.06), it's being compounded monthly (12 & 4 per year), and we have the years, 25.

We need to compare the two formulas where the only thing that will change is n. n will be 12 (compounded monthly) and 4 (compounded quarterly).

Compounded monthly

[tex]A=5000(1+\frac{0.06}{12})^{25}\\A = 5663.98[/tex]

Compounded monthly, the account would have $5,663.98 or $5,664 (simplified).

Compounded quarterly

[tex]A=5000(1+\frac{0.06}{4})^{25}\\A =7254.73[/tex]

Compounded quarterly, the account would have $7,254.73 or $7,255 (simplified).

Now, we need to find the difference between monthly and quarterly.

7254.73 - 5663.98 = $1,590.75

It would be $1,590.75 more if it were compounded quarterly than monthly.

Answer:

For a confined, constant volume of gas, the ratio

P

T

is therefore constant (i.e.,

P

T

=

k

). If the gas is initially in “Condition 1” (with P = P1 and T = T1), and then changes to “Condition 2” (with P = P2 and T = T2), we have that

P

1

T

1

=

k

and

P

2

T

2

=

k

, which reduces to

P

1

T

1

=

P

2

T

2

Answer:

Step-by-step explanation:

The perimeter of the Farmer Bob's rectangular field is 162 yards. The width is 2x and the length is (3x-4). What is the value of x? Question 8 options: 47 34 17 10

Answer:

The answer is $21

Step-by-step explanation:

The amount of money for 12 yards of fabric is $ 21.00

Given data:

To determine the cost of 12 yards of fabric, we can use the information provided in the table. We observe that the cost of fabric increases linearly with the number of yards.

The table shows that 3 yards of fabric cost $5.25. To find the cost per yard, we divide the total cost by the number of yards:

$5.25 / 3 = $1.75

On simplifying the equation:

Now we can use this cost per yard to calculate the cost of 12 yards:

$1.75 × 12 = $21.00

Hence, 12 yards of fabric would cost $21.00.

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

The complete question is attached below:

The table below shows the amount of money needed to buy certain amounts of fabric.Fabric Cost

Yards of Fabric

Total

Cost

3

$5.25

6

$10.50

9

$15.75

12

?

If the price is the same for each yard, how much money would 12 yards of fabric cost?

$18.00

$21.00

$24.75

$26.25

Answer:

9.025 inches

Step-by-step explanation:

Let the length be represented by:

[tex]L = mt+L_0[/tex]

Where [tex]L[/tex] is the length of candle at time [tex]t[/tex]

[tex]m[/tex] is the rate at which the candle is burning.

And [tex]L_0[/tex] is the initial length of the candle.

As per the question statement, let us put the given values in the equation.

[tex]11.2 = m\times 33 + L_0 .... (1)\\10.75 = m\times 51+L_0 ..... (2)[/tex]

Subtracting (1) from (2):

[tex]0.45 = -18m\\\Rightarrow m = -0.025[/tex]

Putting the value of [tex]m[/tex] in the equation (1):

[tex]11.2 = -0.025 \times 33+L_0\\\Rightarrow L_0 = 12.025[/tex]

Therefore, the equation becomes:

[tex]L = -0.025t + 12.025[/tex]

Now, we have to find the height of candle after 2 hours.

2 hours mean 120 minutes.

[tex]L = -0.025 \times 120 + 12.025\\\Rightarrow L = 9.025\ inches[/tex]

Therefore, the height of candle is 9.025 inches.

Answer:

-9x-2

Step-by-step explanation:

Answer:

-9x -2

Step-by-step explanation:

-3x + 1 – 3 – 6x

Combine like terms

-3x -6x  +1 -3

-9x -2

Answer:

f = 54°

Step-by-step explanation:

54° and f are vertical angles and are congruent, thus

f = 54°

Answer:

Traditional = 162

Modern = 90

Step-by-step explanation:

Given that:

12 songs per hour for 15 hours

8 songs per hour for the rest of the day ; (24 - 15) = 9 hours ;

That is ; 8 songs per hour for 9 hours

Total number of songs played per day :

(12 * 15) + (8 * 9) = 252 songs

If songs are mixed using the ratio 9:5 (traditional : modern)

Traditional songs :

(9 * 252) / (9 + 5) = 162

Modern songs :

(5 * 252) / (9 + 5) = 90

Answer:A IS THE LINEAR FUNCTION

Step-by-step explanation: NO NEED FOR EXPLANATION

Answer:

x = 7

Step-by-step explanation:

Let the number added to the numerator is x.

ATQ,

[tex]\dfrac{3+x}{7+2x}=\dfrac{10}{21}[/tex]

Cross multiplying each side,

[tex]\dfrac{3+x}{7+2x}=\dfrac{10}{21}\\\\63+21x=70+20x\\\\21x-20x=70-63\\\\x=7[/tex]

Hence, the person that is added is 7.

Answer:

The equation to determine the normal price of each cookie is

7(x - 0.75) = 2.80

The normal price of each cookie = $1.15

Step-by-step explanation:

Let us represent the normal price of a cookie as : x

We are told that:

Today each cookie costs \$0.75less than the normal price.

The price of a cookie today is

x - 0.75

Right now if you buy 7 of them it will only cost you \$2.80$

Hence:

7(x - 0.75) = 2.80

Solving for x

7x - 5.25 = 2.80

7x = 2.80 + 5.25

7x = 8.05

x = 8.05/7

x = $1.15

The normal price of each cookie = $1.15

Answer:

$ 1.15

Step-by-step explanation:

7(c-0.75) = 2.80 is the equation

$1.15 is the total for C

I did this khan before and this is correct

Hope this helps!

;)

Answer:

la respuesta es 28 porque 32 dividido por 112 es 28

The present age of Ahmed and Ahmed's father is 12 and 36 respectively.

Step-by-step explanation:

Given : Ahmed's father is thrice as old as Ahmed. After 12 years, his age will be twice that of his son.

To Find : Their present age ?

Solution :

Let the Ahmed's age be 'x'.

Ahmed's father is thrice as old as Ahmed.

i.e. Ahmed's father age is '3x'

After 12 years, his age will be twice that of his son.

i.e. 3x+12 = 2(x+12)3x+12=2(x+12)

Solving the equation,

3x+12 = 2x+243x+12=2x+24

x=12x=12

So, Ahmed's age is 12.

Ahmed's father age is 3\times 12=363×12=36

Therefore, The present age of Ahmed and Ahmed's father is 12 and 36 respectively.

Answer:

3.32,3.325,335,7320

Answer:

3.32, 3.325, 335, 7,320

Hope it helps

Step-by-step explanation:

Answer:

3x³ + 5x² + 4x + 4

Step-by-step explanation:

Given

(x + 2)(x² + x + 2) + 2(x³ + x²)

To expand the product, each term in the second factor is multiplied by each term in the first factor, that is

x(x² + x + 2) + 2(x² + x + 2) + 2(x³ + x²) ← distribute the parenthesis

= x³ + x² + 2x + 2x² + 2x + 4 + 2x³ + 2x² ← collect like terms

= 3x³ + 5x² + 4x + 4

Answer:

thetht

Step-by-step explanation:jtejr

Answer:

Commission= $53.82

Step-by-step explanation:

First, we need to calculate the gross profit of the sale:

Gross profit= sale price - total cost

Gross profit= 899 - 600

Gross profit= $299

Now, the commission made by the seller:

Commission= gross profit*commission rate

Commission= 299*0.28

Commission= $53.82

Answer:

[tex]x\geq 6[/tex]

[tex]y\geq 5[/tex]

Step-by-step explanation:

Answer:

I think he might need 100ml.

Step-by-step explanation:

Brandon needs to use 100 ml of water to make 250 ml of hand sanitizer.

The percentage is defined as a ratio expressed as a fraction of 100.

To save money, Brandon made his own hand sanitizer. Hand sanitizer needs 60% alcohol to be effective.

We have to determine the amount of water to manufacture 250ml of hand sanitizer.

To make 250ml of hand sanitizer with 60% alcohol, Brandon needs to use 250ml x 60% = 150ml of alcohol.

Since the total volume of the hand sanitizer is 250ml,

Brandon needs to use 250ml - 150ml = 100ml of water to make 250ml of hand sanitizer.

Therefore, he needs to use 100 ml of water to make 250 ml of hand sanitizer.

Learn more about the percentages here:

brainly.com/question/24159063

#SPJ2

Answer:

2.8 pounds

Step-by-step explanation:

2 + 12 = 14

so there 14 pounds

14 / 5 = 2.8

each freind will receive 2.8 pounds of berries

Answer

i think its....

Step-by-step explanation:

Answer:

Property of Addition

Step-by-step explanation: