3 years ago

How to translate expressions into equations

Mathematics

1 answer:

iren [92.7K]3 years ago

8 0

Expression example: 15x7
equation example: 15x7=105

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In a art class, there are 32 pens to 40 brushes what is the ratio of pens to brushes written as a fraction in simplest form ?

kolezko [41]

32/40 is the fraction to 32:40 and if u simplify it, it would be 4/5

4 0

4 years ago

The lines 2x=ky+2 and (k+1)x=6y-3 have same gradient. Find possible values of k

faust18 [17]

Answer:

k = 3 or k = -4

(Anyone can correct me if I'm wrong)

Step-by-step explanation:

$2x=ky+2\to\ eq1\\(k+1)x=6y-3\to\ eq2\\$Change to this form: $y=mx+c\\ky=2x-2\\y=\frac{2x-2}{k}\\$gradient of eq1: $\frac{2}{k}\\6y=(k+1)x+3\\y=\frac{(k+1)x+3}{6}\\y=\frac{k+1}{6} x+\frac{3}{6}\\y= \frac{k+1}{6} x+\frac{1}{2}\\$gradient of eq1: $\frac{k+1}{6}\\$Since gradient, m, is the same for both lines,$\\\frac{2}{k}=\frac{k+1}{6}\\12=k^{2}+k\\k^{2}+k-12=0\\(k-3)(k+4)=0\\k=3 $ or $ k=-4$

6 0

3 years ago

Can anyone help this is due TODAY!!

gogolik [260]

Answer:

$1.67

Step-by-step explanation:

Let x be the no. of gums

96.6 + 0.79x》100

0.79x 》 3.4

x》4.3037974684

So x = 5

15% discount: she pays 0.85(96.6)

= 82.11

20% discount (after gums)

She pays 0.8[96.6 + 5(0.79)]

= 0.8(100.55)

= 80.44

Less:

82.11 - 80.44

= 1.67

3 0

3 years ago

Given the following functions f(x) and g(x), solve f over g(−4) and select the correct answer below:

oksian1 [2.3K]

X = -4
As g(x) is replaced by g(-4)
plug in -4 for x inside the equation.
g(-4) = (-4) - 1g(-4) = -5
Plug in -4 for x in f(x)f(-4) = 4(-4) - 4f(-4) = -16 - 4f(-4) = -20
Now solve for f(x) over g(x)
remember, f(x) = -20, and g(x) = -5
-20/-5 = 4
4 should be your answer
hope this helpsClick to let others know, how helpful is it

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4 years ago

A 9-kilogram bag of cement costs $12.22. What is the unit price, rounded to the nearest cent

Alekssandra [29.7K]

1.36 because 12.22/9=1.36

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4 years ago