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soldier1979 [14.2K]
3 years ago
9

How to solve as a two step equation.

%5Cfrac%7B1%7D%7B4%7D%20" id="TexFormula1" title=" \frac{1}{2} (5 - x) = \frac{1}{4} " alt=" \frac{1}{2} (5 - x) = \frac{1}{4} " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
-BARSIC- [3]3 years ago
4 0

Answer:

9/2

Step-by-step explanation:

1/2(5 - x) = 1/4   Multiply each term by 4:-

10- 2x = 1

2x = 9

x = 9/2


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Can anyone help me on the last question?
Novosadov [1.4K]

Answer:

<h2>           0.7</h2>

Step-by-step explanation:

A' is everything what is not A

So:

    A' = {9, 10, 11, 12, 13, 15, 16}

Number of ways it can happen: |A'| = 7

Total number of outcomes: |Ω| = 10

Probability of an event happening:

                                         \bold{P(A')=\dfrac{|A'|}{|\Omega|}=\dfrac7{10}=0.7}

8 0
3 years ago
at a track meet the longest shot put throw by a boy is 25 feet 8 inches the longest shot put by girls 19 feet 3 inches how many
Vesna [10]
Boy record = 25 feet 8 inches
Girl record = 19 feet 19 inches
Boy record / Girl record = 25 feet 8 inches / 19 feet 19 inches
Change the feet into inches
1 feet = 12 inches
25 feet = 25* 12 = 300 inches + 8 inches = 308 inches

19 feet = 19 * 12= 228 inches + 19 inches = 247 inches
Boy record / Girl record = 308 inches / 247 inches
Boy record / Girl record = 1.246 inches
Boy record = 1.246 Girl record
So
it is 1.246 times greater than girls record.
3 0
3 years ago
For the function y=3x2: (a) Find the average rate of change of y with respect to x over the interval [3,6]. (b) Find the instant
nirvana33 [79]

Answer:

The instantaneous rate of change of y with respect to x at the value x = 3 is 18.

Step-by-step explanation:

a) Geometrically speaking, the average rate of change of y with respect to x over the interval by definition of secant line:

r = \frac{y(b) -y(a)}{b-a} (1)

Where:

a, b - Lower and upper bounds of the interval.

y(a), y(b) - Function exaluated at lower and upper bounds of the interval.

If we know that y = 3\cdot x^{2}, a = 3 and b = 6, then the average rate of change of y with respect to x over the interval is:

r = \frac{3\cdot (6)^{2}-3\cdot (3)^{2}}{6-3}

r = 27

The average rate of change of y with respect to x over the interval [3,6] is 27.

b) The instantaneous rate of change can be determined by the following definition:

y' =  \lim_{h \to 0}\frac{y(x+h)-y(x)}{h} (2)

Where:

h - Change rate.

y(x), y(x+h) - Function evaluated at x and x+h.

If we know that x = 3 and y = 3\cdot x^{2}, then the instantaneous rate of change of y with respect to x is:

y' =  \lim_{h \to 0} \frac{3\cdot (x+h)^{2}-3\cdot x^{2}}{h}

y' =  3\cdot \lim_{h \to 0} \frac{(x+h)^{2}-x^{2}}{h}

y' = 3\cdot  \lim_{h \to 0} \frac{2\cdot h\cdot x +h^{2}}{h}

y' = 6\cdot  \lim_{h \to 0} x +3\cdot  \lim_{h \to 0} h

y' = 6\cdot x

y' = 6\cdot (3)

y' = 18

The instantaneous rate of change of y with respect to x at the value x = 3 is 18.

5 0
3 years ago
Which of these is the algebraic expression for "five more than the product of ten and some number?"
Vladimir79 [104]

Answer:

10 + 5x hope it helps

8 0
4 years ago
I have trouble understanding word problems. May I please have help with number 15? Thank you very much!
guapka [62]
Basically you do fractions side by side. so, 6/3=15/h and then cross multiply to get your answer so that would give you 3h=80, then divide 80÷3
5 0
3 years ago
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