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3 years ago

5

Tiffany answered 80% of the questions on her math test correctly. There were 40 questions. How many questions did Tiffany get co

rrectly

1 answer:

Harlamova29_29 [7]3 years ago

7 0

Tiffany answered 32 questions correctly since 32/40 is .80

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A handyman charges a fixed rate of R to visit a customers house. In addition, the hardy man charges an hourly rate for H for eac

aksik [14]

Answer:

T == R + NH

Step-by-step explanation:

The fixed rate R is added to the hourly charges to get the total T. The hourly charges are the product of the number of hours and the charge per hour, NH.

The sum is then ...

... T = R + NH

4 0

3 years ago

Which is a correct two column proof. Given <4 and

vladimir1956 [14]

The initial statement is: QS = SU (1)

QR = TU (2)

We have to probe that: RS = ST

Take the expression (1): QS = SU

We multiply both sides by R (QS)R = (SU)R

But (QS)R = S(QR) Then: S(QR) = (SU)R (3)

From the expression (2): QR = TU. Then, substituting it in to expression (3):

S(TU) = (SU)R (4)

But S(TU) = (ST)U and (SU)R = (RS)U

Then, the expression (4) can be re-written as:

(ST)U = (RS)U

Eliminating U from both sides you have: (ST) = (RS) The proof is done.

4 0

3 years ago

-4(5+n) = -12 need help

user100 [1]

First, simplify out the brackets:

-20 - 4n = -12

Then, combine like terms by moving the -20 to the other side

-4n = -12 + 20

-4n = 8

Divide by -4 on both sides to isolate the n

n = 8/-4

n = -2

7 0

3 years ago

Read 2 more answers

In a small town, there are 4 times as many left-handed males as there are left-handed females, and there are 3 times as many rig

horrorfan [7]

Answer:

(b) 24

Step-by-step explanation:

The given variable definitions and the given relationships let us write these statements:

LH males = 4 × LH females = 4x

RH females = 3 × RH males = 3y

LH males + RH males = 204 = 4x +y

RH females + LH females = 348 = 3y +x

Your favorite method of solving equations of this sort can tell you ...

(x, y) = (24, 108)

There are 24 left-handed females.

__

<em>Additional comment</em>

Other numbers involved here are ...

y = 108 . . . . right-handed males

204-108 = 96 . . . . left-handed males (=4×24)

348-24 = 324 . . . . right-handed females (=3×108)

__

If you want to solve the equations by hand, you can use substitution for y to get an equation in x:

3(204 -4x) +x = 348 ⇒ -11x = -264 ⇒ x = 24

3 0

2 years ago

119. Beatrice decides to deposit $100 per month at the end of every month in a bank with an annual interest rate of 5.5% compoun

sveta [45]

Answer:

Beatrice will accumulate $1230.72 at the end of the year.

Step-by-step explanation:

We can write:

$(1+\frac{0.055}{12})=z$

$100=C$ for deposits

The first month would have only the deposit reflected in her balance, then, expanding some steps of the calculation would yield:

$S_{1}=C\\S_{2}=Cz + C\\S_{3}=Cz^{2}+Cz + C\\S_{n}=Cz^{n-1} +...+Cz+C$

A geometric series is given by:

$1+x+...+x^{m}=\frac{x^{m+1}-1}{x-1}$

Translating our series to the short form:

$S_{n}=C(\frac{z^{n}-1}{z-1} )$

plugin in the values for the 12 month gives:

$S_{12}=100(\frac{(1+\frac{0.055}{12})^{12} -1}{\frac{0.055}{12}})=1230.7169$

3 0

3 years ago