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Cyndi works in an office. She thinks that she spends 30 minutes in meeting for every 3 hours that she spends working at her desk. One week, she spends 3 hours and 15 minutes in meetings. Using Cyndi's timings above, work out how many hours she would have spent working at her desk?

Answer:

10 1/2

Step-by-step explanation:

/ = divide

21 divided by 2 is 10 remainder 1 ~ 10 1/2 as a mixed number

21/2 as a improper fraction

Answer:

Solution: {x = 2, y = -1/3}

Step-by-step explanation:

On observation, we see that the y-terms are equal and opposite in sign, therefore to solve the system, we add the two equations.

2x-3y = 5 ..........(1)

3x+3y = 5............(2)

(1) + (2)

2x - 3y + 3x + 3y = 5+5

5x = 10

x = 2 .......(3)

Substitute (3) in (2) and solve for x

3x+3y = 5 .....(2)

3(2) + 3y = 5

3y = 5-6 = -1

y = -1/3  .......(4)

assemble (3) and (4) to give the answer

Solution: {x = 2, y = -1/3}

Answer:

27+18=45

Step-by-step explanation:

x+y=45

x+9=y

(x+9)+x=45

(18+9)+18=45

27+18=45

The value of the two numbers 'x' and 'y' will be 18 and 27., respectively.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The sum of the two numbers is 45. One number is 9 more than the other one.

Let the two numbers be 'x' and 'y'. Then the equations are given as,

y = x + 9              ...1

x + y = 45           ...2

From equations 1 and 2, then we have

x + x + 9 = 45

2x = 36

x = 18

The value of the variable 'y' is given as,

y = 18 + 9

y = 27

The value of the two numbers 'x' and 'y' will be 18 and 27., respectively.

More about the solution of the equation link is given below.

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Answer:

7.5 pages.

Step-by-step explanation:

You divide 15 by 2 to work out 1 day.

Answer:

7.5 pages in 1 day

Step-by-step explanation:

In order to find the answer, you would need to do is divide 15 with two since every two days 15 pages are completed, and you would therefore get your answer which is 7.5. If you want to check your answer then simply multiply 7.5 with 2.

Answer:

SSS (Side side side)

Step-by-step explanation:

Answer:

There are 342 different combinations.

Step-by-step explanation:

Ok, Aileen is choosing toppings for a pizza.

She can choose two.

There are 19 options that can be chosen once.

The first thing we need to do, is find all the "selections".

Here we have two selections:

Topping number 1

Topping number 2.

Now we need to find the number of options for each one of these selections:

Topping number 1:  Here we have 19 options.

Topping number 2:  Here we have 18 options (because one was already taken in the previous selection)

The total number of combinations is equal to the product between the numbers of options.

C = 19*18 = 342

There are 342 different combinations.

Answer:

Set 1

10 cm, 26 cm, 24 cm

Step-by-step explanation:

10² + 24² = 26²

100 + 576 = 676

Answer:

[tex]{ \tt{y = y {}^{x} }} \\ y - intercept : { \tt{y = {y}^{0} }} \\y = 1[/tex]

Answer:

Ben = $ 41

Kaden = $ 31

Step-by-step explanation:

Let initially Ben has $ p and then Kaden has $ (p  - 10).

After that

Ben has= $ (p + 4)

Kaden has = $ (p- 10 + 4) = $ ( p - 6)

According to the question,

[tex]p- 6 = \frac{7}{9}\times (p+4)\\\\9 p- 54 = 7 p + 28 \\\\2 p = 82\\\\p =41[/tex]

Initially Ben has $ 41 and Kaden has $ 31.  

Answer:

C. Consecutive Exterior Angles Theorem states that if the transversal passes through the two parallel lines then any two exterior angles are congruent

Answer:

B

Step-by-step explanation:

Answer:

The answer to this situation would be that Japhet will be most likely to pick the letter “I.”

Step-by-step explanation:

First, calculate how many letters each word has:

P R O B A B I L I T Y - 11 Letters

S T A T I S T I C S - 10 Letters

Next, calculate how many “I”'s each letter has:

"Probability" has two “I”'s.

"Statistics" has two “I”'s.

Finally, divide the amount of “I”'s in the word by it's letter count:

"PROBABILITY" - 2 “I”'s / 11 Letters ≈ 18%

"STATISTICS" - 2 “I”'s / 10 Letters = 20%

So, Japhet would have the better probability to choose the letter “I.”

Hope this helps!

Answer:

f(-7) = 268

Step-by-step explanation:

f(x) = 4x^2 – 10x + 2

Let x = -7

f(-7) = 4(-7)^2 – 10(-7) + 2

     Exponents first

f(-7) = 4(49) – 10(-7) + 2

Multiply

f(-7) = 196 + 70 + 2

f(-7) = 268

Answer:

The answer is 3.

[tex]\longrightarrow{\purple{3}}[/tex] 

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

[tex] \frac{(6a + b)(a + b) - 7b(a + b)}{2 {a}^{2} - 2 {b}^{2} } [/tex]

[tex] \\= \frac{(a + b)(6a + b - 7b)}{2( {a}^{2} - {b}^{2}) } [/tex]

[tex] \\= \frac{(a + b)(6a + b - 7b)}{2(a + b)(a - b)} [/tex]

[tex] \\= \frac{6a - 6b}{2(a - b)} [/tex]

[tex] \\= \frac{6(a - b)}{2(a - b)} [/tex]

[tex] \\= 3[/tex]

( OR )

[tex] \frac{(6a + b)(a + b) - 7b(a + b)}{2 {a}^{2} - 2 {b}^{2} } [/tex]

[tex] \\= \frac{6 {a}^{2} + 6ab + ab + {b}^{2} - 7ab - 7 {b}^{2} }{2( {a}^{2} - {b}^{2} )} [/tex]

[tex] \\= \frac{6 {a}^{2} - 6 {b}^{2} + 7ab - 7ab }{2( {a}^{2} - {b}^{2} )} [/tex]

[tex] \\= \frac{6 {a}^{2} - 6 {b}^{2} }{2( {a}^{2} - {b}^{2} )} [/tex]

[tex] \\= \frac{6( {a}^{2} - {b}^{2} )}{2( {a}^{2} - {b}^{2} )} [/tex]

[tex] \\= \frac{6}{2} [/tex]

[tex] \\= 3[/tex]

[tex] {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex]

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♬}}}}}[/tex]

45 min is answer

Step-by-step explanation:

trim of 4 people = 60 min

trim of 1 people = 60/4

= 15

trim of 3 people in = trim of one people × no of people

15×3=45 min

Answer: Thought I’d return the favor and help u with this question! But anyways, the axis of symmetry is at x = -3.

Explanatio: This can be found by looking at the basic form of vertex form:

y = (x - h)^2 + k

In this basic form the vertex is (h, k). By looking at what is plugged into the equation, it is clear that h = -3 and k = -4. This means the vertex is at (-3, -4).

It is a fact that the axis of symmetry is a vertical line of x = (vertex value of x). So we can determine that the axis of symmetry is at x = -3

i hope this helps u

Answer: 4

Step-by-step explanation:

The exponent in the given number [tex]4^{2}=16[/tex] is  2.

An exponent refers to the number of times a number is multiplied by itself.

For example, [tex]3^{4}[/tex] means we are multiplying 3 four times. Here the base is 3 and exponent is 4.

According to the question

We have a number

[tex]4^{2} =16[/tex]

Here, we are multiplying 4 two times. So, the base is 4 and the exponent is 2.

Hence, the exponent in the given number [tex]4^{2}=16[/tex] is  2.

Learn more about the exponent here:

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Step-by-step explanation:

the answer is in the image above

Answer:

không

Step-by-step explanation:

Answer:

(a + b)(a - b) = a² - b²

Step-by-step explanation:

(a + b)(a - b) = a (a - b ) + b (a - b )

                 = a²  - ab + ba  - b²             [ ab = ba ]

                 = a² - ab + ab - b²               [ ab - ab = 0 ]

                 = a² - b²

Given:

The quadratic equation is:

[tex]-5x^2-3x-2=0[/tex]

To find:

The discriminant of the given equation and the number of real solutions.

Solution:

If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then the value of discriminant is:

[tex]D=b^2-4ac[/tex]

If D<0, then the quadratic equation has no real roots or two imaginary roots.

If D=0, then the quadratic equation has two equal real roots.

If D>0, then the quadratic equation has two distinct real roots.

We have,

[tex]-5x^2-3x-2=0[/tex]

Here, [tex]a=-5,b=-3,c=-2[/tex]. So, the discriminant of the given equation is:

[tex]D=(-3)^2-4(-5)(-2)[/tex]

[tex]D=9-40[/tex]

[tex]D=-31[/tex]

Since D<0, therefore the number of real solutions is 0.

Hence, the value of the discriminant is -31 and the number of real solutions is 0.

THE CORRECT EQUATION IS..

(8X+3)°=(7X+12)°

[BEING VERTICALLY OPPOSITE ANGLES ARE ALWAYS EQUAL ]

HOPE THIS HELPS YOU...

Answer:

8x + 3 = 7x + 12

8x -7x= 12-3

x=9

a polygon with seven sides is called a heptagon

Answer:

Hyptagon

Step-by-step explanation:

In geometry, a heptagon is a seven-sided polygon or 7-gon.

The heptagon is sometimes referred to as the septagon, using "sept-" (an elision of septua-, a Latin-derived numerical prefix, rather than hepta-, a Greek-derived numerical prefix; both are cognate) together with the Greek suffix "-agon" meaning angle.

50 - 2x; x = 3

____________________

50 - 2(3)

= 50 - 6

= 44

Answer:

939 girls

Step-by-step explanation:

Let us start by writing an equation. We can set the number of boys as x, and the number of girls as 3x since the number of girls is three times the number of boys:

Step 1, writing an equation:

[tex]1252=3x+x[/tex]

We will assume in this case, that the number of girls plus the number of boys adds up to the total number of learners at Petit High School

Step 2, solving the equation:

We can simplify the above equation and isolate the term containing x.

[tex]1252=4x\\x=313[/tex]

Step 3, determining values:

There are [tex]\fbox{939}[/tex] girls at Petit High School.

I hope this helps! Let me know if you have any questions :)

Answer:

4,5

Step-by-step explanation:

Your welcome! :)

Good Luck!

Answer:

B is 4 and A is 5 --> 4,5

Step-by-step explanation:

Answer:

$40

Step-by-step explanation:

Fraction Navin gave his brother = 1/5

Remainder = 1 - 1/5

5/5 - 1/5 = 4/5

Fraction Navin gave his sister = 4/5 x 5/8 = 1/2

total amount Navin gave his siblings :

[tex]\frac{1}{5} + \frac{1}{2}[/tex]

[tex]\frac{2 + 5}{10}[/tex] = [tex]\frac{7}{10}[/tex]

Fraction that remains = 1 - 7/10

10/10 - 7/10 = 3/10

Let a = amount Navin has initially

3/10 x a = 12

a = (12 x 10) / 2  = $40

15. 70° because a right angle is 90° and we have the angle of ADB which is 20°. So 90°-20°=70°.

16. 70° because angle PSQ is 60° and angle QSR is 10°. So 60°+10°=70°.

17. 55° because it says it in the explanation. I assume this is a typo and they meant to ask the measurement of ADC and in that case it would be 130° because angle ADB is 75° and angle BDC is 55°. 75°+55°=130°.

18. 40° because angle PSQ is a right angle which means it's 90°. So 130°-90°=40°.

19. 140° because angle ADB is 120° and angle BDC is 20° so 120°+20°=140°.

20. 125° because again it's in the explanation. But if it's a typo and they meant what is the measurement of PSQ then it is 50° because PSR is 125° and QSR is 75° so 125°-75°=50°.

Hope this helps! :)

Answer: .98

Step-by-step explanation:

Answer:

length-14cm width-7cm

Step-by-step explanation:

To work out the sides, you can use 2l+2w=42. Since the length is twice the width, this becomes 2(2w)+2w=42.

This can be expanded to 4w+2w=42 or 6w=42.

From there, we can divide both sides by 6 to isolate w, meaning w=7.

Since the length is twice the width, it is given by l=2×7 or l=14.

**This question involves writing and solving algebraic equations from worded questions, which you may wish to revise. I'm always happy to help!

Answer:

A) 8d^2/3c

B) 3a^2b^3

Step-by-step explanation:

Answer:

Step-by-step explanation:

In exponent division, if base are same , subtract the exponents.

[tex]\frac{a^{m}}{a^{n}}=a^{m-n} , m>n\\\\ \frac{a^{m}}{a^{n}}= \frac{1}{a^{n-m}}, m<n[/tex]

a) 8c²d⁵ ÷ 2c³d³ = [tex]\frac{8}{2}* \frac{d^{5-3}}{c^{3-2}}= 4*\frac{d^{2}}{c}= \frac{4d^{2}}{c}[/tex]

b) 9a³b⁵ ÷ 3ab² = [tex]\frac{9}{3}* a^{3-1}*b^{5-2} = 3a^{2}b^{3}[/tex]