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Burka [1]
3 years ago
12

The model represents an equation. What value of x makes the equation true?

Mathematics
2 answers:
stepan [7]3 years ago
8 0

Answer:

  B)  9/2

Step-by-step explanation:

Subtracting 5x+7 from both sides leaves 2x = 9.

Dividing the 9 into two parts, we find ...

  x = 9/2

Delvig [45]3 years ago
3 0

Answer: 9/2 your welcome i got a 100% on the test by the way

Step-by-step explanation:

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The bottom of the ladder rests on a horizontal flat surface and the top of the ladder rests against a wall. The ladder makes an
mihalych1998 [28]
The diagram of the ladder leaning on a wall is shown below

We will use the trigonometry ratio for cosine to solve for 'x'

We choose the cosine ratio because we have the angle, 61° and the side adjacent to the angle

cos(x)= \frac{adjacent}{hypothenuse}
cos(61)= \frac{61}{x}
x= \frac{6}{cos(61)} =12.38, rounded to 2 dp

6 0
3 years ago
A rectangle has a height of 5 inches and a area of 35 squared inches what is the length of the base of the rectangle?
Sedbober [7]

Answer:

7 inches

Step-by-step explanation:

Now the area of a rectangle equals to length by width or in this scenario, height by base.

Therefore, we take a look at what we already have.

We got 5 inches for height and 35 squared inches as the area.

h= 5 inches a=35squared inches b=?

*Therefore, 5 x b =35

Through substitution this becomes:

*35/5= b

*Therefore b=7 inches

4 0
3 years ago
Multiply or divide as indicated <br> b^3 x b^-3
Andru [333]

The domain: b\neq0

Method 1.

Use\ a^n\cdot a^m=a^{n+m}\\\\b^3\cdot b^{-3}=b^{3+(-3)}=b^{3-3}=b^0=1

Method 2.

Use\ a^{-n}=\dfrac{1}{a^n}\\\\b^3\cdot b^{-3}=b^3\cdot\dfrac{1}{b^3}=\dfrac{b^3}{b^3}=1

7 0
3 years ago
A popcorn company builds a machine to fill 1 kg bags of popcorn. They test the first hundred bags filled and find that the bags
ELEN [110]

Answer:

Step-by-step explanation:

Given that a popcorn company builds a machine to fill 1 kg bags of popcorn. They test the first hundred bags filled and find that the bags have an average weight of 1,040 grams with a standard deviation of 25 grams.

i.e. Sample mean = 1040 and

Sample std dev s = 25 gm

Sample size n = 100

Hence by central limit theorem we have the sample mean follows a normal distribution with mean =1040 and std dev = s = 25 gm

\bar X = N(1040,25)

Normal curve would be with mean 1040 and std deviatin 25

b) P(X>1115)

= 1-0.9987

=0.0013

i.e. 0.13% would receive a bag that had a weight greater than 1115 grams

8 0
4 years ago
Translate: The difference of a number and 45 is 12
Gekata [30.6K]

Answer:

x-45=12

Step-by-step explanation:

a number equals x

difference equals -

of a number and 45 so 45 first

is equals =

12 is after is so 12

3 0
3 years ago
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