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2 years ago

Solve the inequality. 2(4 + 2x) ≥ 5x + 5?

Mathematics

2 answers:

bixtya [17]2 years ago

7 0

I hope this is the right answer

11111nata11111 [884]2 years ago

7 0

The answer to your question is x<=3

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The volleyball team at West View High School is comparing T-shirt companies where they can purchase their practice shirts. The t

mina [271]

10.5x = 7.5x + 30
10.5x - 7.5x = 30
3x = 30
x = 30/3
x = 10

10.5(10) = 105
7.5(10) + 30 = 75 + 30 = 105

they need to purchase 10 t-shirts from each company for a total of $105 for each company

5 0

2 years ago

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If r(x) = 3x – 1 and s(x) = 2x + 1, which expression is equivalent to (StartFraction r Over s EndFraction) (6)?

Airida [17]

Answer:

$\dfrac{r}{s}(6)=\dfrac{3(6)-1}{2(6)+1}$

Step-by-step explanation:

We know that for any two function f(x) and g(x) ,

$\dfrac{f}{g}(x)=\dfrac{f(x)}{g(x)}$

Given functions : $r(x)=3x-1$ and $s(x)=2x+1$

Then, $\dfrac{r}{s}(x)=\dfrac{r(x)}{s(x)}$

$\Rightarrow\ \dfrac{r}{s}(x)=\dfrac{3x-1}{2x+1}$

At x= 6 , we get

$\dfrac{r}{s}(6)=\dfrac{3(6)-1}{2(6)+1}$

The , The expression is equivalent to $\dfrac{r}{s}(6)=\dfrac{3(6)-1}{2(6)+1}$

When we further simplify it , we get $\dfrac{r}{s}(6)=\dfrac{18-1}{12+1}=\dfrac{17}{13}$

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2 years ago

Isabella Is building a tree fort .The base of the fort is 78 inches wide by 92 inches long. What is the area of the base in squa

Maslowich

Answer:

Part a) The area of the base is $7,176\ in^{2}$

Part b) The area of the base is $49\frac{5}{6}\ ft^{2}$

Step-by-step explanation:

we know that

The area of a rectangle is equal to

$A=LW$

Part a)

we have

$L=92\ in$

$W=78\ in$

substitute

$A=92*78=7,176\ in^{2}$

Part b)

we know that

$1\ ft=12\ in$

Convert inches to feet

$92\ in=92/12\ ft$

$78\ in=78/12=6.5\ ft$

substitute in the formula

$A=(92/12)*6.5=(598/12)\ ft^{2}$

Convert to mixed number

$(598/12)\ ft^{2}=(588/12)+(10/12)=49+(5/6)=49\frac{5}{6}\ ft^{2}$

8 0

2 years ago

The angle measurements in the diagram are represented by the following expressions

Klio2033 [76]

8x-10=3x+90
5x=100
X=20
B=3(20)+90=150

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2 years ago

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As part of Kayla's exercise program, she either runs 6 miles/day or rides her bike 10 miles/day. Her new goal is to cover a mini

erik [133]

To determine the number of days, we need to set up equations relating the given values above. The total distance that Kayla would want to travel is a sum of the total distance she traveled from running and the total distance she traveled from biking. So,

200 miles = (6 miles/day) x + (10 miles/day) y

where x is the number of days she spent running and y is the number of days she spent biking.

If the minimum days she used for biking would be 15 days or y = 15, then

200 miles = (6 miles/day) x + (10 miles/day) (15 days)

Solving for x,
200 = 6x + 150
50 = 6x
x = 8.3333 days

Total number of days = 15 days for biking + 8.3333 days for running = 23.3333 days or about 24 days.

8 0

2 years ago

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