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3 years ago

11

Ella has 0.5 lbs of sugar. How much water should she add to make the following concentrations? Tell Ella how much syrup she will

have in each case.
75% syrup?

1 answer:

Andrew [12]3 years ago

3 0

I'm guessing the % of syrup refers to the % of sugar it has, therefore:

75% = 75 / 100 = 0.75

0.75 * x = 0.5

x = 0.5/0.75

x = 0.66

She will have 0.66 lbs of syrup

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SOMEONE PLZ HELP ME

saul85 [17]

(f•g)(2)=27, the distance in miles the bicycle traveled

Option D is correct.

Step-by-step explanation:

Rate of a bicycle traveling in miles per hour : $f(x)=2x^2+1$

the time the bicycle traveled in hours: $g(x)= x+1$

We need to find (f.g)(2)

Solving:

$(f.g)(2)=(2(2)^2+1)(2+1)\\(f.g)(2)=(2(4)+1)(3)\\(f.g)(2)=(8+1)(3)\\(f.g)(2)=9*3\\(f.g)(2)=27$

So, (f•g)(2)=27, the distance in miles the bicycle traveled

Option D is correct.

Keywords: Composition of Functions

Learn more about Composition of Functions at:

#learnwithBrainly

8 0

3 years ago

Sanya has a piece of land which is in the shape of a rhombus. She wants her one daughter and one son to work on the land and pro

Neporo4naja [7]

${\large{\textsf{\textbf{\underline{\underline{Given :}}}}}}$

★ Sanya has a piece of land which is in the shape of a rhombus.

★ She wants her one daughter and one son to work on the land and produce different crops, for which she divides the land in two equal parts.

★ Perimeter of land = 400 m.

★ One of the diagonal = 160 m.

${\large{\textsf{\textbf{\underline{\underline{To \: Find :}}}}}}$

★ Area each of them [son and daughter] will get.

${\large{\textsf{\textbf{\underline{\underline{Solution :}}}}}}$

Let, ABCD be the rhombus shaped field and each side of the field be $x$

[ All sides of the rhombus are equal, therefore we will let the each side of the field be $x$ ]

Now,

• Perimeter = 400m

$\longrightarrow \tt AB+BC+CD+AD=400m$

$\longrightarrow \tt x + x + x + x=400$

$\longrightarrow \tt 4x=400$

$\longrightarrow \tt \: x = \dfrac{400}{4}$

$\longrightarrow \tt x= \red{100m}$

$\therefore$ Each side of the field = <u>100m</u><u>.</u>

Now, we have to find the area each [son and daughter] will get.

So, For $\triangle$ ABD,

Here,

• a = 100 [AB]

• b = 100 [AD]

• c = 160 [BD]

$\therefore \tt Simi \: perimeter \: [S] = \boxed{ \sf \dfrac{a + b + c}{2} }$

$\longrightarrow \tt S = \dfrac{100 + 100 + 160}{2}$

$\longrightarrow \tt S = \cancel{ \dfrac{360}{2}}$

$\longrightarrow \tt S = 180m$

Using <u>herons formula</u><u>,</u>

$\star \tt Area \: of \: \triangle = \boxed{\bf{{ \sqrt{s(s - a)(s - b)(s - c) } }}} \star$

where

• s is the simi perimeter = 180m

• a, b and c are sides of the triangle which are 100m, 100m and 160m respectively.

<u>Putt</u><u>ing</u><u> the</u><u> values</u><u>,</u>

$\longrightarrow \tt Area_{ ( \triangle \: ABD)} = \tt \sqrt{180(180 - 100)(180 - 100)(180 - 160) }$

$\longrightarrow \tt Area_{ ( \triangle \: ABD)} = \tt \sqrt{180(80)(80)(20) }$

$\longrightarrow \tt Area_{ ( \triangle \: ABD)} = \tt \sqrt{180 \times 80 \times 80 \times 20 }$

$\longrightarrow \tt Area_{ ( \triangle \: ABD)} = \tt \sqrt{9 \times 20 \times 20 \times 80 \times 80}$

$\longrightarrow \tt Area_{ ( \triangle \: ABD)} = \tt \sqrt{ {3}^{2} \times {20}^{2} \times {80}^{2} }$

$\longrightarrow \tt Area_{ ( \triangle \: ABD)} = 3 \times 20 \times 80$

$\longrightarrow \tt Area_{ ( \triangle \: ABD)} = \red{ 4800 \: {m}^{2} }$

Thus, area of $\triangle$ ABD = <u>4800 m²</u>

As both the triangles have same sides

So,

Area of $\triangle$ BCD = 4800 m²

<u>Therefore, area each of them [son and daughter] will get = 4800 m²</u>

${\large{\textsf{\textbf{\underline{\underline{Note :}}}}}}$

★ Figure in attachment.

${\underline{\rule{290pt}{2pt}}}$

7 0

2 years ago

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Megan’s cousin wants to buy a new sound system for his car. She goes to the electronics store to help him to pick it out. The ba

Sholpan [36]

Answer:

D $900

Step-by-step explanation:

You just round all of the numbers to their nearest hundred.

EXAMPLE: $395 is closer to $400, than it is to the hundred before it, $300. Therefore you would "round" it up to 400.

Hope this helps!

5 0

3 years ago

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Determine the solution, if it exists, for each system of linear equations. Verify your solution on the coordinate plane.

melisa1 [442]

Answer:

(x, y) = (2, 1)

Step-by-step explanation:

Adding the two equations gives ...

2y = 2

y = 1 . . . . . divide by 2

Subtracting the second equation from the first gives ...

0 = 6x -12

0 = x -2 . . . . divide by 6

2 = x

The solution is (x, y) = (2, 1).

__

The attached graph verifies this solution.

4 0

2 years ago

Is -12 divided by -5 a rational number or irrational

bixtya [17]

Answer:

Rational

Step-by-step explanation:

Hope this helps!!

5 0

3 years ago

Read 2 more answers