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OLga [1]
2 years ago
6

Which graph shows the solution set of the compound inequality 1.5 x minus 1 greater-than 6.5 or 7 x + 3 less-than negative 25?

Mathematics
2 answers:
saul85 [17]2 years ago
5 0

Answer:

After solving the compound inequality 1.5x-1>6.5 \ or \ 7x+3 we get \mathbf{x>5 \ or \ x

Option B is correct.

Step-by-step explanation:

We are given compound inequality: 1.5x-1>6.5 \ or \ 7x+3

We will first solve the inequalities to find the value of x, then will draw the graph.

1.5x-1>6.5 \ or \ 7x+36.5+1 \ or \ 7x+3-37.5 \ or \ 7x\frac{7.5}{1.5} \ or \ x5 \ or \ x< -4

So, after solving the compound inequality 1.5x-1>6.5 \ or \ 7x+3 we get \mathbf{x>5 \ or \ x

Now, the number line will be as shown in figure.

The description as given in options is:

A number line goes from negative 10 to positive 10. An open circle appears at negative 4 and positive 5. The number line is shaded from negative 4 toward negative 10. The number line is also shaded from positive 5 toward positive 10.

so, Option B is correct.

Karo-lina-s [1.5K]2 years ago
4 0

Answer:

the answer is b

Step-by-step explanation:

2020 edge

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Eli is making a party mix that contains pretzels and chex. For each cup of pretzels, he uses 3 cups of chex. How many cups of pr
Paha777 [63]
So for every one cup of pretzels (1p)
You have three cups of chex (3c)

The ratio between pretzels and chex is 1p:3c

Thus, changes in 1 is proportional with changes in 3.

You need a total of 12 cups of party mix. The sum of the ratio 1 cup of pretzels and 3 cups of chex is 4.

So you would need 3 cups of pretzels and 9 cups of chex for the ratio to equal a sum of 12.

Thus the answer is 3p:9c
4 0
2 years ago
Read 2 more answers
Khalid and Jesse took different overnight trains. The graph shows the relationship between the total distance Khalid traveled an
Usimov [2.4K]

Answer:

Jesse - 150 miles per hour.

Step-by-step explanation:

On the graph, it shows that the rise is 140 and the run is 1. 140/1 is 140, making the slope for Khalid is 140. The equation (y = 150x) shows that the slope is 150 (y = mx). Since 150 is greater than (>) 140, Jesse's train is more faster than Khalid since she is moving at 150mph rather than 140mph.

Also, is this for Pearson Realize?

4 0
2 years ago
A yellow jacket can fly 4.5 meters in 9 seconds.find the unit rate in meters per second
snow_lady [41]
The answer is .5 because to set it up you write 4.5/9 and then n/1 so 4.5 times 1 = 4.5 then you multiply 9 times n so it would be 9n, so then you didvide 9 by both sides so n=.5 so the unit rate is 1: .5

6 0
2 years ago
Read 2 more answers
An ostrich can run 6 mph faster than a giraffe. An ostrich can run 7 miles in the same time that a giraffe can run 6 miles. Find
LUCKY_DIMON [66]

NOTE THIS IS AN EXAMPLE:

Let t = time, s = ostrich, and g = giraffe.

Here's what we know:

s = g + 5 (an ostrich is 5 mph faster than a giraffe)

st = 7 (in a certain amount of time, an ostrich runs 7 miles)

gt = 6 (in the same time, a giraffe runs 6 miles)

 

We have a value for s, so plug it into the first equation:

(g + 5)t = 7

gt = 6

 

Isolate g so that we can plug that variable value into the equation:

g = 6/t

so that gives us:

(6/t + 5)t = 7

Distribute:

6 + 5t = 7

Subtract 6:

5t = 1

Divide by 5:

t = 1/5 of an hour (or 12 minutes)

 

Now that we have a value for time, we can plug them into our equations:

1/5 g = 6

multiply by 5:

g = 30 mph

 

s = 30 + 5

s = 35 mph

 

Check by imputing into the second equation:

st = 7

35 * 1/5 = 7

7 = 7

5 0
2 years ago
Write the equation of the line that is parallel to the line y=-7/4x-2 through the point (4,2)! Help please
Sladkaya [172]

as you already know, the equation y=-7/4x-2, is already in slope-intercept form and thus its slope is the coefficient of the "x", namely -7/4.

parallel lines have the same exact slope, so a parallel line to this one will also have a slope of -7/4, and it passes through 4,2,

\bf (\stackrel{x_1}{4}~,~\stackrel{y_1}{2})\qquad \qquad \qquad  slope =  m\implies -\cfrac{7}{4} \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-2=-\cfrac{7}{4}(x-4) \\\\\\ y-2=-\cfrac{7}{4}x+7\implies y=-\cfrac{7}{4}x+9

6 0
2 years ago
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