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3 years ago

Write an equivalent expression for 4(2x+5

Mathematics

2 answers:

Verizon [17]3 years ago

8 0

4(2x +5) = (8x + 20)

8x =20 is an equivalent expression

lord [1]3 years ago

4 0

Answer:

the equivalent expression would be 8x+20.

Hope this helps!

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The coffee Lily likes is composed of 97.3% water and 2.7% cocoa. The coffee John likes is composed of 96% water and 4% cocoa. Ho

mestny [16]

30 ounces of the coffee John likes consists of

$0.96\cdot30=28.8$ ounces of water
$0.04\cdot30=1.2$ ounces of cocoa

To this mixture we're adding $x$ ounces of water, so that the new mix has a total volume of $30+x$ ounces and matches the composition of the coffee Lily likes. This means it would consist of

$0.973\cdot(30+x)=28.8+x$ ounces of water
$0.027\cdot(30+x)=1.2$ ounces of cocoa (same amount of cocoa as before because pure water is being added)

Solve for $x$ :

$0.973(30+x)=28.8+x\implies29.12+0.973x=28.8+x$

$\implies0.39=0.027x$

$\implies x\approx14.4$

###

Just to confirm: the new mixture consists of

$28.8+14.4=43.2$ ounces of water
$1.2+0=1.2$ ounces of cocoa

giving a total volume of $43.2+1.2=44.4$ ounces of coffee, and $\dfrac{43.2}{44.4}\approx0.973$ , as required.

4 0

3 years ago

The axis of symmetry for the graph of the function is f(x) = 1/4 x2 +

CaHeK987 [17]

Answer:

Step-by-step explanation:

f(x) = 1/4 x²+bx+10

the derivate is : f'(x) = 1/2 x +b

you have : f'(6)=0

1/2 (6)+b=0

3+b =0

b = -3

so f(x) = 1/4 x²-3x+10.......f(6) =1/4(6)² -3(6)+10 =9-18+10 =1

f(x) = 1/4(x-6)²+1... the vertex form

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2 years ago

Janet, an experienced shipping clerk, can fill a certain order in 7 hours. Jim, a new clerk, needs 9 hours to do the same job.

fiasKO [112]

Answer:

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2 years ago

The perimeter of a rectangular garden is 24. If the length is half the width, what is<br> the width?

Anna11 [10]

Let length be x

Width be 2x

ATQ

$\\ \sf\longmapsto 2(L+B)=24$

$\\ \sf\longmapsto 2(x+2x)=2=$

$\\ \sf\longmapsto 2(3x)=24$

$\\ \sf\longmapsto 6x=24$

$\\ \sf\longmapsto x=\dfrac{24}{6}$

$\\ \sf\longmapsto x=4$

4 0

2 years ago

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The ratio of pink marbles to white marbles in samaras bag is equal to 1:5 what percent of the bag contains pink marbles

Strike441 [17]

Answer: i dont want to give the exact answer so u can actually know how to do it but i will tell u if ur right

Step-by-step explanation:

We will follow the following steps for converting a ratio into a percentage:

Step I: Obtain the ratio. Let the ratio be x : y

Step II: Convert the given ratio into the fraction x/y.

Step III: Multiply the fraction obtained in step II by 100 and put the percentage sign(%).

6 0

2 years ago