In a math contest of 10 problems, 5 points were given for each correct answer and 2 points were deducted for each incorrect answer. If Nancy answered all 10 problems and scored 29 points, how many correct answers did she have?

Answer:

Here, 5x + 10 = 24 + 6x - 3x

or, 5x  + 10 = 24 + 3x ( 6x-3x )

or, 5x - 3x = 24 - 10

or, 2x = 14

or, x = 14/2

Hence answer is 7.

Answer:

1/10

Step-by-step explanation:

9/10+(-4/5)

= 9/10-4/5

=9/10-8/10

=1/10

The simplified form of the expression as a fraction is 1/10.

We have,

Expression:

9/10 + (-4/5)

Remove the parenthesis.

9/10 - 4/5

Simplify the fraction.

(9 - 8)/10

1/10

Thus,

The simplified form of the expression is 1/10.

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Answer:

16

Step-by-step explanation:

Lets do a Step-by-step:

You must Solve for n:

-n/2 = -8

Multiply both sides of -n/2 = -8 by -2:

(-2 (-n))/2 = -2 (-8)

-2×(-1)/2 = (-2 (-1))/2:

(-2 (-1))/2 n = -2 (-8)

(-2)/2 = (2 (-1))/2 = -1:

--1 n = -2 (-8)

(-1)^2 = 1:

n = -2 (-8)

-2 (-8) = 16:

Answer: n = 16

Hope this helps

''All prime numbers are odd."

That is incorrect because if we consider the smallest odd number, 2, is an even number. We can say that except 2, all prime numbers are odd.

14. section is wrong. For example, both numbers can be negative, so when we multiple these two, it will equals a positive value.

Answer:

x = -6

Step-by-step explanation:

36 + x = 12 - 3x

36 + x - 36 = 12 - 3x - 36

x = -3x - 24

x + 3x = -3x - 24 + 3x

4x = -24

4x / 4 = -24 / 4

x = -6

Answer:

x = -6

Step-by-step explanation:

36 + x = 12 - 3x

We need all terms with x on the left side.

Add 3x to both sides.

36 + x + 3x = 12 - 3x + 3x

36 + 4x = 12

We need all terms that are just numbers on the right side. Subtract 36 from both sides.

36 - 36 + 4x = 12 - 36

4x = -24

We have 4x, which means 4 multiplied by x, on the left side. We want x alone. Divide both sides by 4.

x = -6

Answer:

<

Step-by-step explanation:

If we compare the 2 values

[tex]\sqrt{7}[/tex] ≈ 2.65

[tex]\frac{14}{5}[/tex] = 2.8

Thus we can see that 2.65 is less than 2.8, then

[tex]\sqrt{7}[/tex] < [tex]\frac{14}{5}[/tex]

Answer:

The base is 16 cm long.

Step-by-step explanation:

A = 1/2 * bh, we know that A = 32 and h = 4. We are solving for b so we can plug A = 32 and h = 4 into the equation to solve for b.

A = 1/2 * bh

32 = 1/2 * b * 4

32 = 2b

b = 16cm

Answer:

Regular price for 1 ticket = $30

Step-by-step explanation:

Given that a total of 4 people went to the carnival.

Total bill for the tickets = $100

Discount coupon used = $20

To find:

Cost of Regular price ticket = ?

Solution:

First of all, we need to find the regular price of tickets for 4 persons as if there was no coupon used.

If no coupon used, total bill of tickets = Total bill with coupon + Amount of coupon

Regular price for 4 tickets = 100 + 20 = $120

So, regular price for 1 ticket = Regular price of 4 tickets divided by 4

[tex]\text{Regular price for 1 ticket }= \$\dfrac{120}{4} = \$\bold{30}[/tex]

So, the answer is:

Regular price for 1 ticket = $30

Step-by-step explanation:

Hey, there!!

I hope you mean,

[tex] \frac{ - 1}{2} \: means \: \sqrt{} [/tex]

and

[tex]36 = {6}^{2} \: and \: 81 = {9}^{2} [/tex]

[tex]so \: \: \sqrt{ \frac{ {6}^{2} }{ {9}^{2} } } [/tex]

[tex]or \: ( { \frac{ {6}^{2} }{ {9}^{2} }) }^{ \frac{ - 1}{2} } [/tex]

so, the answer is 6/9 or, 2/3.

Hope you are searching this...

If I'm correct im sure I'd be 41

If you drove a bus with 43 people on board from Chicago and stopped at Pittsburgh. the bus driver is 41 old.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

If you drove a bus with 43 people on board from Chicago and stopped at Pittsburgh.

To pick up 7 more people and drop off 5,

So, 43 + 7

= 50 -5

= 45

then at Cleveland to pick up 4 more people and drop off 8, and arrive at Philadelphia 20 hours later.

= 45 + 4

= 49 - 8

= 41

Therefore, the bus driver is 41 old.

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Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

2r + 3s = - 5 → (1)

6s = 2r → (2) ( divide both sides by 2 ), then

r = 3s

Substitute r = 3s into (1)

2(3s) + 3s = - 5

6s + 3s = - 5

9s = - 5 ( divide both sides by 9 )

s = - [tex]\frac{5}{9}[/tex]

Substitute this value into either of the 2 equations and evaluate for r

Substituting into r = 3s, then

r = 3 × - [tex]\frac{5}{9}[/tex] = - [tex]\frac{5}{3}[/tex]

Solution is r = - [tex]\frac{5}{3}[/tex] and s = - [tex]\frac{5}{9}[/tex]

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

Work Shown:

Angle PQR = (far arc - near arc)/2

2x+72 = ( (2x+252) - (2x+108) )/2

2x+72 = 144/2

2x+72 = 72

2x = 72-72

2x = 0

x = 0/2

x = 0

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

Angle PQR = 2x+72

Angle PQR = 2(0)+72

Angle PQR = 72 degrees

Answer:

560 students

Step-by-step explanation:

85/100=476

x= 476 x 100/85 x=560

Answer:c560 students is the answer your welcome!!!!!

Step-by-step explanation:

Answer:

3/6

Step-by-step explanation:

Answer:

The volume of the triangular prism  is not equal to the volume of the cylinder

Step-by-step explanation:

Given that:

The cross sectional area of triangular prism and a night cylinder are congruent. The term 'congruent' means when two objects or shapes are placed above each other , they should both overlap exactly.

It was given that:

The triangular prism has a height of 5 units

and the right cylinder height of 3 units

The conclusion that can be drawn from this is that:

The volume of the triangular prism  is not equal to the volume of the cylinder.

This is because, they do not occur in the same family. A triangular prism is a three - dimensional shape that has identical, parallel ends and parallel faces.

A triangular prism has two triangles at it ends and three rectangular faces.

The volume of the triangular prism is calculate by using the formula:

[tex]V= \dfrac{1}{2}\times b \times h\times l[/tex]

On the other hand, a cylinder is a shape with two circular ends and a curved surface.The two circular ends are congruent and both circular end posses the same cross section from one end to the other in the cylinder.

The volume of a cylinder is calculated by using the formula:

V = πr²h

Thus, we conclude that irrespective of the nature of their congruency, since the heights are different which will definitely affects their volume, the the volume of the triangular prism is not equal to the volume of the cylinder.

Answer:

392

Step-by-step explanation:

If we have the expression [tex]7m+3mn[/tex] and we know the values of m and n, we can just substitute inside the expression and solve.

[tex]7\cdot8 + 3\cdot8\cdot14\\\\56+336\\\\392[/tex]

Hope this helped!

Answer:

392 is the correct answer

Answer:

w = 11.25

Step-by-step explanation:

To solve this problem, we are going to move all of the terms containing the variable w to the left side of the equation and all of the constant terms (ones with numbers only) to the right side of the equation.

w - 24 = -3w + 21

To do this, we should first add 24 to both sides of the equation.

w - 24 + 24 = -3w +21 + 24

If we simplify, we get:

w =  -3w + 45

Next, we should add 3w to both sides of the equation.

w + 3w = -3w + 3w + 45

4w = 45

Finally, we can divide both sides by 4.

4w/4 = 45/4

w = 11.25

Hope this helps!

Answer:

The answer to this question is pentagonal prism or pentagonal pyramid.

Answer:

(x+2)²=4(y-4)

or y=1/4 (x+2)²+4

Step-by-step explanation:

directrix y=3 and focus (-2,5) to find te equation of parabola we use the equation :

(x-h)²=4p(y-k)

vertex(h,k) : the vertex is half way between the focus and the directrix

y(vertex)=y(focus)+directrix/2

y=5+3/2 ⇒8/2=4

x is the same as the c of the focus =-2

vertex (-2,4)

to find the distance (p) which is the distance between the vertex and focus

p=5-4=1

substitute h=(-2), k=(4) and p=(1) in the equation : (x-h)²=4p(y-k)

(x-(-2)²=4(1)(y-4)

(x+2)²=4(y-4)

Answer:

5/18

Step-by-step explanation:

Lets write an equation:

5/12*2/3=5*2/12*3.

5*2=10,

12*3=36.

10/36=5/18

The answer is 5/18.

Hope this helps!

Answer:

314.16 metres

Step-by-step explanation:

The answer to this problem is essentially just the circumference of the circle.

The circumference, or perimeter, is denoted by C = 2πr = πd, where r is the radius (and half the diameter) and d is the diameter.

Here, the diameter is 100 metres, so plug this in for d:

C = πd

C = π * 100 ≈ 314.16 metres

The answer is about 314.16 metres.

~ an aesthetics lover

Answer:

=−ab2+2ac2+2ac+2a−28b+3c

Step-by-step explanation:

a+2c−5b−c+a−b2a−6b+2c2a−6b+ca−6b+ca−5b+2c

=a+2c+−5b+−c+a+−ab2+−6b+2ac2+−6b+ac+−6b+ac+−5b+2c

Combine Like Terms:

=a+2c+−5b+−c+a+−ab2+−6b+2ac2+−6b+ac+−6b+ac+−5b+2c

=(−ab2)+(2ac2)+(ac+ac)+(a+a)+(−5b+−6b+−6b+−6b+−5b)+(2c+−c+2c)

=−ab2+2ac2+2ac+2a+−28b+3c

Answer:

=−ab2+2ac2+2ac+2a−28b+3c

Answer:

B. 2a − 6b + c

Step-by-step explanation:

Took the test :)

Answer:

In 1 minute, bison runs 3520 feet

In 60 minutes, the bison would run

3520*60 feet

211200 feet per hour.

These are equivalent to;

40 miles per hour since 1 mile is equivalent to 5280 feet.

The bison is faster by 10 miles per hour

Answer:

A bison is 10 miles per hour faster than a deer.

i took the assignment

Answer:

f (x) = 1

substitute 1 for x

f (1) = 3 (1) - 4

= 3 - 4

= -1

Answer:

[tex]y = \frac{ x + 4}{3} [/tex]

Step-by-step explanation:

Let f(x) =y

y= 3x-4

[interchanging variables]

x=3y-4

[making y the subject]

3y=x+4

Therefore the inverse of the function is

[tex]y = \frac{x + 4}{3} [/tex]

Answer:

-9x³(x+3)(x-7)

Step-by-step explanation:

-9x^5+36x^4+189x³=

-9x³(x²-4x-21)=

-9x³(x+3)(x-7)

Answer:

x = 2

because we have the same question and i got it right its hard to explain but trust me its x = 2

The solution to the given equation is 2. Therefore, option B is the correct answer.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is x/6 = 4/12.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Now, x/6 = 4/12

By cross multiplication, we get

12x=24

⇒ x=2

The solution to the given equation is 2. Therefore, option B is the correct answer.

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Answer:

2x+8

Step-by-step explanation:

The mathematical expression will be;

⇒ 2x + 8

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The algebraic expression is,

⇒ '' Eight more than the product of two and a number x''.

Now,

Since, The algebraic expression is,

⇒ '' Eight more than the product of two and a number x''.

Hence, We get the mathematical expression as;

⇒ Product of 2 and number x = 2x

And, 8 more than 2x = 2x + 8

Thus, We get the mathematical expression as;

⇒ 2x + 8

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Answer:

See Explanation

Step-by-step explanation:

1.

Standard Form: 2 * 10^8

The number is expanded as follows:

[tex]10^8 = 100,000,000[/tex]

So: [tex]2 * 10^8 = 2 * 100,000,000[/tex]

[tex]Expanded\ Form: 200,000,000[/tex]

Word Form: Two hundred million

2.

Standard Form: 3.5 * 10^7

The number is expanded as follows:

[tex]10^7 = 10,000,000[/tex]

So: [tex]3.5 * 10^7 = 3.5 * 10,000,000[/tex]

[tex]Expanded\ Form: 35,000,000[/tex]

Word Form: Thirty five million

3.

Standard Form: 9 * 10^9

The number is expanded as follows:

[tex]10^9 = 1000,000,000[/tex]

So: [tex]9 * 10^9 = 9 * 1000,000,000[/tex]

[tex]Expanded\ Form: 9,000,000,000[/tex]

Word Form: Nine billion

4.

Standard Form: 5.5 * 10^7

[tex]10^7 = 10,000,000[/tex]

So:

[tex]5.5 * 10^7 = 5.5 * 10,000,000[/tex]

[tex]Expanded\ Form: 55,000,000[/tex]

Word Form: Fifty five million

5.

Standard Form: 4.3 * 10^7

[tex]10^7 = 10,000,000[/tex]

So:

[tex]4.3 * 10^7 = 4.3 * 10,000,000[/tex]

[tex]Expanded\ Form: 43,000,000[/tex]

Word Form: Forty Three million

Answer:

x = -5

Step-by-step explanation:

Solve for x:

(x + 5)^2 = 0

Take the square root of both sides:

x + 5 = 0

Subtract 5 from both sides:

Answer:  x = -5