Find the measures of the angle QUESTION A.

Answer:

[text] x = p(m - n) [/tex]

Or

[text] x = pm - pn [/tex]

Step-by-step explanation:

Given:

[text] m = n + \frac{x}{p} [/tex]

Required:

Make x the subject of the formula

Solution:

What we are required to do is to rewrite the equation so that x will be alone on one side while the other variables will be on the other side.

[text] m = n + \frac{x}{p} [/tex]

Subtract n from each side

[text] m - n = n + \frac{x}{p} - n [/tex]

[text] m - n = \frac{x}{p} [/tex]

Multiply both sides by p

[text] p(m - n) = \frac{x}{p}*p [/tex]

[text] p(m - n) = x [/tex]

[text] x = p(m - n) [/tex]

Or

[text] x = pm - pn [/tex]

Answer:

2

Step-by-step explanation:

3+2=5 and 5+2 =7 and on x side just add 1

The only length that is equal to 6 feet 12 inches is 7 ft.

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

To compare lengths, we need to convert all of them to the same units. One way to do this is to convert everything to inches.

6 feet 12 inches is equal to 6 x 12 + 12 = 84 inches.

3 yd 1 ft = 3 x 3 x 12 + 1 x 12 = 109 inches, which is not equal to 84 inches.

7 ft = 7 x 12 = 84 inches, which is equal to 6 feet 12 inches.

7 ft 2 in. = 7 x 12 + 2 = 86 inches, which is not equal to 84 inches.

2 yd 1 ft = 2 x 3 x 12 + 1 x 12 = 78 inches, which is not equal to 84 inches.

1yd 4 ft = 1 x 3 x 12 + 4 x 12 = 60 inches, which is not equal to 84 inches.

Therefore, the only length that is equal to 6 feet 12 inches is 7 ft.

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Answer: 0.77

Step-by-step explanation:

Answer:

0.23

Step-by-step explanation:

the chart adds up to 1 as a whole so 23% chose football and there is a 23% chance the next person will also choose football.

Answer:

488.

Step-by-step explanation:

515-500=15

500-488=12

522-500=22

500-477=23

The closest number to 500 exists at 488.

The numerical value = 500

Step 1: Subtract the given value from 500 if it exists smaller than 500

Step 2: Subtract 500 from the given value if it exists greater than 500

Step 3: The smallest result obtained exists the number closest to 500

Option A: 477

500 - 477 = 23

Option B: 515

515 - 500 = 15

Option C: 488

500 - 488 = 12

Option D: 522

522 - 500 = 22

12 exists the smallest result among all the given options.

The closest number to 500 exists at 488.

Therefore, the correct answer is option C. 488.

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Step-by-step explanation:

3890 - 3200

=690

(690÷3200) x 100%

=21.56%

Answer:

21.56/ 21.6/ 22 (depending on the decimal places you want)

Step-by-step explanation:

Current figure- original figure / Original figure * 100

3890-3200 = 690

690/3200 = 0.215625

0.215625 * 100 =   21.56  /   21.6  / 22

* means multiply

Answer:

4ti + 5tj + k

Step-by-step explanation:

Initial condition V(0) = k

at t = 0

general equation for v(t )

V(0) = 0i + 0j + c = k

when we compare V(0) and solve for c ,     c = k

back to general equation

V(t) = 4ti + 5tj + c = 4ti + 5tj + k

Answer:

I would have my debit card declined because it is a better choice prob than having to pay the overdraft fee.

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

17,290 yd2

Step-by-step explanation:

I rlly don't know how u were taught to solve it but what I did was multiply all the sides

Answer:

tanJ = 8/15

Step-by-step explanation:

find JK the adjacent side uisng th pythagorean theorem

a² + 16² = 34²

a² = 34² - 16²

a² = 900

a = 30

--------------------

tan = opp/adj

tanJ = 16/30

Reduce

tanJ = 8/15

Answer:

20

Step-by-step explanation:

[tex]V_{right\: square \: pyramid} = \frac{1}{3} {a}^{2} h \\ \\ \therefore \: 1500 = \frac{1}{3} {(15)}^{2} (x)\\ \\ \therefore \: 1500 = \frac{1}{\cancel 3} \times \cancel {225} (x) \\ \\ \therefore \: 1500 = 75x \\ \\ \therefore \: x = \frac{1500}{75} \\ \\ \therefore \: x = 20[/tex]

[tex]\longrightarrow{\blue{B.\:5x\:+\:12}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}[/tex]

[tex]4 + x + x + 2x + 5 + 3 + x[/tex]

Combining like terms, we have

[tex] = x + x + 2x + x + 4 + 5 + 3[/tex]

Next, add them

[tex] = 5x + 12[/tex]

Therefore, ''[tex]\sf\pink{4 + x + x + 2x + 5 + 3 + x}[/tex]" is equivalent to "[tex]\sf\purple{5x\:+\:12}[/tex]."

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]

Answer:

B. 5x + 12.

Step-by-step explanation:

[tex]4 + x + x + 2x + 5 + 3 + x = ?[/tex]

Whenever you see variables without a visible coefficient, imagine there is a '1' in front of the variable.

[tex]4 +(1)x+(1)x+2x+5+3+(1)x=?[/tex]

From here, you can combine like terms.

Remember, combine means to add.

Like terms are terms whose variables (such as x or y) with any exponents are the same (such as x² or y²).

[tex](1)x+(1)x+2x+(1)x=5x.[/tex]

[tex]4+5+3=12.[/tex]

[tex]4+(1)x+(1)x+2x+5+3+(1)x=5x+12.[/tex]

I, therefore believe 5x + 12 is equal to 4 + x + x + 2x + 5 + 3 + x.

Answer:

6.3 Cubic cm

Step-by-step explanation:

[tex]V=A*h=(1.8*1.2+.5*1.1*1.8)*2=6.3cm^{3}[/tex]

9514 1404 393

Answer:

  100 miles

Step-by-step explanation:

A. The answers shown are correct

__

B. Equate the values of y and solve for x.

  0.20x +20 = 0.10x +30

  0.10x = 10 . . . . . . . subtract (20+0.10x)

  x = 100 . . . . . . . . divide by 0.10

The rental charges are the same for 100 miles.

Answer:

2 hours

Step-by-step explanation:

because they work faster togetter and jeff mows faster

Answer:

the work done in stretching the spring from its natural length is -1.8 ft.lb

Step-by-step explanation:

Given the data in the question;

From Hook's law, the magnitude of force applied on a spring is expressed as follows;

|F| = k|x|

where F is the force applied the spring, k is the spring constant, x is the length extension

Now, given that; F = 4 pounds = 4 lb and x = 0.4 ft

we substitute

4 = k × 0.4

k = 4 / 0.4

k = 10 lb/ft

Also, Hook's law can be expressed as follows;

F = -kx  ---------- let this be equation 1

Now, work done by a force applied between two points is expressed as follows;

dW = Fdx ----------- let this be equation 2

substitute equation 1 into equation 2

dW = (-kx )dx

we integrate both side

∫(dW) = ∫((-kx )dx)

W = -k∫xdx

W = -k[tex]\frac{x^2}{2}[/tex]

w = -[tex]\frac{1}{2}[/tex]kx²

we substitute 10 lb/ft for k and 0.6 ft for x

w = -[tex]\frac{1}{2}[/tex] × 10 lb/ft × (0.6 ft)²

w = -[tex]\frac{1}{2}[/tex] × 10 lb/ft × 0.36 ft²

w = -1.8 ft.lb

Therefore, the work done in stretching the spring from its natural length is -1.8 ft.lb

Answer:

(viii) 116 ± 2.78 x 14.4√5

Step-by-step explanation:

The given data is

Sample size =n= 5

Calculated t- value= 2.4837

Mean= 116

Standard deviation= sd= 14.40486

The t - value from table with 4 d.f for ∝/2 is  t∝/2 (n-1)= 2.776

The 95% confidence interval is calculated by

d` ± t∝/2 (n-1)  *sd/√n

Putting the values

116 ± 2.776* 14.40486/√5

Comparing these values with the options Part viii gives the best answer.

(viii) 116 ± 2.78 x 14.4√5

2.776 when rounded gives 2.78 and 14.40486 when  rounded gives 14.4

The rest are incorrect.

Answer:

D) 20%-24%

Step-by-step explanation:

The margin of error is ±2%, which means that the true proportion it can be 2% above the average proportion or 2% below the average proportion. Therefore, the percentage of students that might actually ride their bikes to school is 20%-24%.

Answer: A. 22%-24%

Step-by-step explanation:  There's a +2% error range, so you just add 2% to the existing percentage to get your range of 22% (the original percentage) through 24% (the percentage you get after adding 2%)

Answer:

54 pounds

Step-by-step explanation:

To find out how much flour is needed to make 9 cakes, we first need to find out how much much flour is needed to make 1 cake. For that, we need to divide 6 by 36. That will give you 6. Now that we know how much flour is needed to make 1 cake, we will just have to multiply 6 by 9 to find out how much flour is needed to make 9 cakes. That will give you 54 pounds, which is your final answer.

Answer:

1/12

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

the word 'of' in math means to multiply so 1/3 of 1/4 means to multiply them together

1/3 x 1/4 = 1/12

Answer:

m<ADE = 57 degrees

Step-by-step explanation:

Angles of a quadrilateral add up to 360. We are already given 69 and 45, which can both be subtracted from 360, leaving us with 246. Since the two remaining angles are congruent, 246 can be divided by 2 to find the remaining measure(s). We are left with 123. However, m<ADE is supplementary to this. So we subtract 123 from 180. The final answer is 57 degrees.

Answer: Crayfish, 25 s

Step-by-step explanation:

Given

The length of race is 60 cm

Flicker gets a 10 cm head-start

Cray fish covers 6 cm in 5 s i.e. its speed is

[tex]\Rightarrow \dfrac{6}{5}=1.2\ cm/s[/tex]

Flicker covers 4 cm in 5 s, its speed is

[tex]\Rightarrow \dfrac{4}{5}=0.8\ cm/s[/tex]

Time taken by Cray fish to cover the race is

[tex]\Rightarrow t_1=\dfrac{60}{1.2}\\\\\Rightarrow t_1=50\ s[/tex]

Time taken by flicker to cover race with 10 cm head start

[tex]\Rightarrow t_2=\dfrac{60-10}{0.8}\\\\\Rightarrow t_2=62.5\ s[/tex]

Time taken by crayfish is less. Hence, crayfish wins the race

When they both covers the same distance, they tied momentarily i.e.

[tex]\Rightarrow 1.2t=10+0.8t\\\Rightarrow 0.4t=10\\\\\Rightarrow t=\dfrac{10}{0.4}\\\\\Rightarrow t=25\ s[/tex]

After 25 s, they tied the race.

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\text{x + 8 } \mathsf{>}\large\text{ 14}[/tex]

[tex]\large\textsf{SUBTRACT 8 to BOTH SIDES}[/tex]

[tex]\large\text{x + 8 - 8 }\mathsf{>}\large\text{ 14 - 8}[/tex]

[tex]\large\textsf{CANCEL out: \text{8 - 8} because that gives you \text{0}}[/tex]

[tex]\large\textsf{KEEP: \text{14 - 8} because that helps what you are comparing to the \text{x}}[/tex]

[tex]\large\text{x }\mathsf{> }\large\text{ 14 - 8}[/tex]

[tex]\large\text{14 - 8 = \boxed{\bf 6}}\large\checkmark[/tex]

[tex]\large\text{x }\mathsf{>}\large\text{ 6}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \bf x}\mathsf{\bf >}\large\text{ \bf 6 }}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

he has to many apples

Step-by-step explanation:  

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

========================================================

Explanation:

Start with the largest four digit number possible (9999) and see if it's divisible by 3, 6 and 9

When dividing the number over 6, we don't get a whole number. So 6 is not a factor of 9999, and we cross 9999 off the list.

------------------------

Decrease the number by 9. We do this because the result will be another multiple of 9 (which is automatically also a multiple of 3 as well, since 9 = 3*3)

So we go from 9999 to 9990

Repeat the last set of steps we did earlier

Every result is a whole number, which shows that 9990 is a multiple of 3, 6 and 9. In other words, 9990 is divisible by 3, 6 and 9. It's the largest such 4 digit number.

Answer:

2x - 3    2x +3

Step-by-step explanation:

so its 2,3,2,3

The function 4x^2 - 9 is a quadratic function, and the factorized expression of 4x^2 - 9 is (2x - 3)(2x+ 3)

Factorization involves splitting a function into several factors

The expression is given as:

[tex]4x^2 - 9[/tex]

Express 4 as the square of 2

(2x)^2 - 9

Express 9 as the square of 3

(2x)^2 - 3^2

Apply the difference of two squares

(2x - 3)(2x+ 3)

Hence, the factorized expression is (2x - 3)(2x+ 3)

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Answer:

y=-2x-2

Step-by-step explanation: