4Roberta wants to create 32 ounces of new hand lotion, with a minimum 15% concentration of beeswax, from a mixture of
two lotions. One lotion has a 21% concentration of beeswax, and the second lotion has a concentration of 5% beeswax. Based on
the inequality below, how much of the 21% lotion, x, will she need?
0.21x + 0.05(32 - x) > 4.8
A x 20
ОВ.
x > 28
C. x 16
OD. x > 21.33
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Answers

Answer 1

Answer:

Answer: x _>_ 11.875

Step-by-step explanation:

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The point (–3, 5) has been reflected so that the image is at (5, –3). What is the line of reflection?

Answers

Hello,
the line is the perpendicular bisector of A(-3,5) and B(5,-3)

Let M the middle of AB
M=((-3+5)/2,(5+(-3))/2)=(1,1)
Slope of AB= (-3-5)/(5+3)=-8/8=-1
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You are an urban planner assessing the growth of a city. Ten years ago, the city's population was 249,583. Its current population is 318,270. By about what percentage has the city grown over the past ten years? Can anyone explain this one?

Answers

Answer:

27.52%

Step-by-step explanation:

Given that an urban planner wants to assess the growth of a city

Population of the city before 10 years = 249583

Current population = 318270

Population grown =318270-249583 = 68687

Relative growth = growth/original population

Relative growth = $(68687)/(249583)\n=0.2752$

Percent growth = relative growth x100

Hence percent growth = 0.2752x100

27.52%

$318,270-249,583=68,687\n\n\begin{array}{ccc}249,583&-&100\%\n68,687&-&p\%\end{array}\n\ncross\ multiply\n\n249,583p=68,687\cdot100\ \ \ \ /:249,583\n\np\approx27.52\n\nAnswer:\nThe\ city\ grown\ over\ the\ past\ ten\ years\ at\ 27.52\%.$

what is the greatest possible are of a triangle with one side of length 7 and another side of length 10?

Answers

Area of a triangle = $(1)/(2) (a)(b)sin(C)$ .

a=7
b=10

The largest possible value for sin(C) is 1, which is sin(90)

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What is the area of a rectangle with a height of 3X and a width of 2X -3

Answers

Answer:6x^2 -9x

Step-by-step explanation:

6x2-9x would be the correct answer

Which equation correctly describes the relationship between the measures of the angle and arcs formed by the intersecting secant and tangent?m∠1=1/2(mJK−mKL)
m∠1=1/2(mJK+mKL)
m∠1=1/2mJK
m∠1=mJK−mKL

Answers

Angle m∠1 if formed by a tangent and secant intersecting outside of circle. The intercepted arcs are arc LK and arc JK.
Thus;
Angle formed by Tangent and secant
=1/2(DIFFERENCE of Intercepted Arcs)
m∠1=1/2(mJK-LK)

Answer: m∠1=1/2(mJK-KL)

Answer:

just took test, confirming this other answer is right, good luck y'all

Step-by-step explanation:

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