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Alecsey [184]
4 years ago
10

vera is measuring the size of a small hexagonal silver box that she owns. she places a standard 12 inch ruler alongside the box.

About how much long is one of the sides of the box?

Mathematics
1 answer:
Rzqust [24]4 years ago
4 0

I believe there is a corresponding figure to help answer this problem. See attached photo.

From the figure, we can see that there are 8 tick marks in an inch. The number of tick marks covering one side is about 5.5 tick marks. Therefore:

length = 5.5 tick marks * (1 inch / 8 tick marks)

length = 0.69 inches

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130/105 in its simplest form
Andreas93 [3]
130/105 in its simplest form

\dfrac{130}{105}= \qquad 130= 2.5.13\qquad 105=3.5.7 \\  \\  \\  \dfrac{130}{105}=  \dfrac{2.5.13}{3.5.7} \\  \\  \\   \dfrac{130}{105}=  \dfrac{2.\not 5.13}{3.\not 5.7}=  \dfrac{2.13}{3.7}=  \boxed{ \dfrac{26}{21}} \\  \\  \\ \boxed{ \dfrac{130}{105}=  \dfrac{26}{21}}

I wish you much success in your studies!!!!
5 0
4 years ago
If f(x) = 3x + 2 and g(x) = 2x – 2, what is (f – g)(x)? A. x + 4 B. x – 2 C. x D. 5x – 2 E. x – 4
Bond [772]

Answer: Option A

Step-by-step explanation:

Given the functions f(x) and g(x):

f(x) = 3x + 2

g(x)=2x-2

(f-g)(x) indicates that you need to subtract the function f(x) = 3x + 2 and the function g(x)=2x-2.

Then:

(f-g)(x)=3x + 2-(2x-2)

Now, you need to dstribute the negative sign and then you have to add like terms. Then:

(f-g)(x)=3x + 2-2x+2\\\\(f-g)(x)=x+4

You can observe that this answer matches with the option A.

8 0
4 years ago
Read 2 more answers
a 5-gallon mixture contains 40% acid. A 3-gallon mixture contains 50% acid. what percent acid is obtained by putting the two mix
natta225 [31]

so the 5 gallons ones is 40% acid, how much acid solute is in it anyway? well just 40% of 5 or namely 0.4*5 = 2 gallons.

the 3 gallons one is 50%, likewise it has 0.50 * 3 = 1.5 gallons of acid solute in it.

\begin{array}{lcccl} &\stackrel{solution}{quantity}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{gallons of }}{amount}\\ \cline{2-4}&\\ \textit{1st mixture}&5&0.4&\stackrel{(5)(0.4)}{2}\\ \textit{2nd mixture}&3&0.5&\stackrel{(3)(0.5)}{1.5}\\ \cline{2-4}&\\ mixed&8&p&3.5 \end{array} \\\\\\ 8p=3.5\implies p=\cfrac{3.5}{8}\implies p=0.4375\implies p=\stackrel{\%}{43.75}

8 0
2 years ago
Find the slope please​
scoray [572]

The slope of the line is 2.

The slope is going up from left to right, so it'll be positive to start with. From there you have to do rise over run. That is pretty much how many units up and in towards the slope do you have to go until you find 2 points that are in the center of the line. In this case, the rise over run is 2/1 which equals 2.

May I have brainliest please? :)

6 0
3 years ago
Segment AB has length a and is divided by points P and Q into AP , PQ , and QB , such that AP = 2PQ = 2QB. A) Find the distance
Deffense [45]

Answer:

A) \frac{7}{8}a

B) \frac{5}{8}a

Step-by-step explanation:

AB has length a and is divided by points P and Q into AP , PQ , and QB , such that AP = 2PQ = 2QB

A) Therefore, AP = 2QB

QB = AP/2

The midpoint of QB = QB/2 = (AP/2)/2 = AP/4

AP = 2PQ, Therefore PQ = AP/2

Since the length of AB = a

AB = AP + PQ + QB = a

AP + AP/2 + AP/2 = a

AP + AP = a

2AP = a

AP = a/2

The distance between point A and the midpoint of segment QB = AP + PQ + QB/2 = AP + AP/2 + AP/4 = 7/4(AP)

But AP = a/2

Therefore The distance between point A and the midpoint of segment QB =  7/4(a/2)= \frac{7}{8}a

B)

the distance between the midpoints of segments AP and QB = AP/2 + PQ + QB/2 = AP/2 + AP/2 + AP/4 = 5/4(AP)

But AP = a/2

Therefore the distance between the midpoints of segments AP and QB = 5/4(AP) = \frac{5}{4} *\frac{a}{2}=\frac{5}{8}a

7 0
3 years ago
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