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umka21 [38]
3 years ago
12

-32x + 45 – 7 (2x – 9) = 101

Mathematics
2 answers:
Evgesh-ka [11]3 years ago
5 0

Answer:

x =  \frac{7}{46}

Step-by-step explanation:

-32x+45-7(2x-9)=101

parenthesis first

-32x+45-14x+63=101

just combine like terms

-46x+108=101

minus 108 both sides

-46x= -7

answer is x 7 over 46

pishuonlain [190]3 years ago
3 0
X would be 7/46
-32x+45-7(2x-9)=101
-32x+45+(-7)(2x)+(-7)(-9)=101
-32x+45+(-14x)+ 63=101
(-32x+ -14x)+(45+63)=101
-46+108=101
-46x=-7 divide both by -46
X is equal to 7/46
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Hüseyin draws a fox with a scale of 3 units on his graph paper represents 15cm. The fox has an actual height of 80cm. What is th
satela [25.4K]

Answer:

The height of the fox in Huseyin's drawing is, 16 units

Step-by-step explanation:

Proportion states that the two ratios or fractions are equal.

As per the statement: Huseyin draws a fox with a scale of 3 units on his graph paper represents 15 cm. The fox has an actual height of 80 cm.

⇒ We are given Scale of 3 units.

On graph paper the length of fox is 15 cm.

The fox has an actual height = 80 cm

let x be the height in units of the fox in Huseyin's drawing.

By definition of proportion;

\frac{3}{15} = \frac{x}{80}

by cross multiply we get;

3 \times 80 = 15x

Simplify:

240 = 15x

Divide both sides by 15 we get;

x = 16 units.

Therefore, the height of the fox in Huseyin's drawing is, 16 units


6 0
3 years ago
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Legend has it that a bull sasquatch in rut will howl approximately 9 times per hour when it is 40°f outside and only 5 times per
ahrayia [7]

The answer is 13.

To solve this question, you need to determine the slope of the function. if howl  is y and the temperature is x of the graph, the slope would be:

9-5/(40-70)= 4/-30= -2/15

Using one of the point and the slope, you can find the number of howl

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9-y= -2/15 * 60

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8 0
3 years ago
Evaluate [7 - (2 - 5(4 - 2) + 7)] + 2
motikmotik
You are correct. here it is step by step.

[7-(2-5(2)+7)] +2
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How do you simplify expressions with rational exponents
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Answer:

Step-by-step explanation:

Simplify expression with rational exponents can look like a huge thing when you first see them with those fractions sitting up there in the exponent but let's remember our properties for dealing with exponents. We can apply those with fractions as well.

Examples

(a)   (p^4)^{\dfrac{3}{2}}

From above, we have a power to a power, so, we can think of multiplying the exponents.

i.e.

(p^{^ {\dfrac{4}{1}}})^{\dfrac{3}{2}}

(p^{^ {\dfrac{12}{2}}})

Let's recall that when we are dealing with exponents that are fractions, we can simplify them just like normal fractions.

SO;

(p^{^ {\dfrac{12}{2}}})

= (p^{ 6})

Let's take a look at another example

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Here, we apply the \dfrac{5}{3} to both 27 and x^6

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Let us recall that in the rational exponent, the denominator is the root and the numerator is the exponent of such a particular number.

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= \Bigg (3^{5} \times x^{10} }\Bigg)

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4 would be the scale factor
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