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3 years ago

8

Write 8.77 as a mixed number, reduced to lowest terms.

1 answer:

zubka84 [21]3 years ago

8 0

Converting a decimal to a mixed number is very simple when you get the hang of it. Since 8 is before the decimal, that is your number in the mixed number. For the fraction part, it's 77/100. The denominator is 100 because when you count the decimal places, it goes to hundredths. 77/100 is already in simplest form, so your final answer is 8 77/100.

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Point Tis on line segment SU. Given TU = 4x + 1, SU = 8, and ST = 3x,

Harrizon [31]

Answer:

5 units

Step-by-step explanation:

If point T is on the line segment SU, then ST + TU = SU.

Given

TU = 4x + 1

SU = 8

ST = 3x

To get TU, we need to get the value of x first. To get x, we will substitute the given parameters into the formula;

3x+4x+1 = 8

7x+1 = 8

subtract 1 from both sides

7x+1-1 = 8-1

7x = 7

divide both sides by 7

7x/7 = 7/7

x = 1

Substitute x = 1 into the length TU

Since TU = 4x+1

TU = 4(1)+1

TU = 5

Hence the numerical length of TU is 5 units

4 0

3 years ago

Yuki made brownies, and ate 1/5 of them. James ate another 2/7 of the brownies. a) What is the fraction of the brownies eaten? b

BabaBlast [244]

Answer:

a. 17/35

b. 18/35

Step-by-step explanation:

Multiply fractions!

4 0

3 years ago

Read 2 more answers

2. The alkalinity of a fluid (pH) can be modeled in terms of its hydrogen ion concentration (H+, measured in moles/liter) of the

nataly862011 [7]

Given the equation:

$pH=-log\mleft(H^+\mright)$

You know that a lab technician finds that a sample of fluid has this pH:

$pH=4.5$

Then, in order to find the hydrogen ion concentration of the fluid, you need to follow these steps:

1. Substitute the pH given in the exercise into the equation:

$4.5=-log(H^+)$

Multiply both sides by -1:

$-4.5=\log (H^+)$

2. Solve for:

$H^+$

Remember that, by definition:

$\log _b\mleft(c\mright)=a\Rightarrow b^a=c$

In this case, you can identify that:

$\begin{gathered} a=-4.5 \\ b=10 \\ c=H^+ \end{gathered}$

Hence, substituting values and simplifying, you get:

$\begin{gathered} b^a=c \\ 10^{-4.5}=H^+ \\ H^+=0.00003162278\text{ }\frac{moles}{liter} \end{gathered}$

Therefore, the answer is:

$H^+=0.00003162278\text{ }\frac{moles}{liter}$

4 0

1 year ago

Muna brought her bike to a shop repair. She was billed $126. The total amount was broken into $21 for parts and $42 per hours. H

timurjin [86]

Answer:

2 hours and 30 minutes

Step-by-step explanation:

126 is the total

from the total subtract the amount for parts

from your answer divide by 42 per hour to get the number of hours she worked

6 0

3 years ago

The sum of four and twelve is??

guajiro [1.7K]

Answer: 16

Step-by-step explanation:

12+4= 16

6 0

2 years ago