Solve for x. -4.5 = -0.5(x – 7.1)​

9514 1404 393

Answer:

  143 in²

Step-by-step explanation:

The figure is dimensioned in such a way that it can be divided easily into three rectangular areas. The top rectangle is 10 in wide and 7 in high. The vertical rectangle below that is 4 in wide and 12 in high, and the square appendage on the right is 5 in square.

Then the total area is the sum of products of length and width:

  A = (10 in)(7 in) + (4 in)(12 in) + (5 in)(5 in) = (70 +48 +25) in²

  A = 143 in²

The area of the irregular figure is 143 in².

Answer:

8 peanut cookies

Step-by-step explanation:

4 x 12  = 48

48 x  1/3 = 2/3 left             (16 chocolate chip)

48-16= 2/3 = 32 left          

32 x 3/4 = 24                     (24 gingersnaps)

32-24 = 8                          ( 8 peanut cookies)

Answer:

The one you selected is the correct one

Answer:

(5/7) x 56 = 40 is correct

Step-by-step explanation:

How have you been stuck on this for 3 hours

Answer: 20 cups :DD

Step-by-step explanation:

Answer:  The range of a set of data is the difference between the highest and lowest values in the set. To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.

Answer:

588000

Step-by-step explanation:

if i am wrong pls tell me cause i think there's a different answer gl g

Answer:

$103,421.88

Step-by-step explanation:

Given:

P = 70000

r = 0.05

n = 1

t = 8

Work:

[tex]A=P(1+\frac{r}{n} )^{nt}\\\\A=70000(1+\frac{0.05}{1} )^{1*8}\\\\A=70000(1.05)^8\\\\A=103421.88[/tex]

The statements that are valid based on the survey results are:

About 20% of the students are taking chemistry.

About twice as many students are taking health science than are taking physics.

For every 150 students we could predict that at least 18 of the students are taking physics.

Option A, B, and C are correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

About 20% of the students are taking chemistry:

To calculate the percentage of students taking chemistry, we divide the number of students taking chemistry by the total number of students surveyed and multiply by 100:

10/50 x 100% = 20%

Therefore, the statement "About 20% of the students are taking chemistry" is valid based on the survey results.

About twice as many students are taking health science than are taking physics:

The number of students taking health science is 12, and the number of students taking physics is 6. To see if twice as many students are taking health science than physics, we can compare the ratios:

Health science : Physics = 12 : 6 = 2 : 1

Since the ratio is 2:1, we can conclude that the statement "About twice as many students are taking health science than are taking physics" is valid based on the survey results.

For every 150 students, we could predict that at least 18 of the students are taking physics:

To make this prediction, we need to calculate the proportion of students taking physics based on the survey results:

6/50 = 0.12

To predict how many students are taking physics in a larger population, we can multiply the proportion by the size of the population:

0.12 x 150 = 18

Therefore, the statement "For every 150 students we could predict that at least 18 of the students are taking physics" is valid based on the survey results.

For every 25 students, we could predict that at least 4 of the students are taking Earth Science:

To make this prediction, we need to calculate the proportion of students taking Earth Science based on the survey results:

4/50 = 0.08

To predict how many students are taking Earth Science in a larger population, we can multiply the proportion by the size of the population:

0.08 x 25 = 2

Therefore, the statement "For every 25 students we could predict that at least 4 of the students are taking Earth Science" is not valid based on the survey results, as we would predict that at least 2 students are taking Earth Science, not 4.

Therefore,

The statements that are valid based on the survey results are:

About 20% of the students are taking chemistry.

About twice as many students are taking health science than are taking physics.

For every 150 students we could predict that at least 18 of the students are taking physics.

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Answer:

10,000

Step-by-step explanation:

620,000/62 = 10,000

Answer:

39

Step-by-step explanation:

8(4) + 11 -2(2)

32 + 11 - 4

43 - 4

39

Answer:

w = 1/2

Step-by-step explanation:

One of the ways to solve problems using log is to use these two equations that use the same variables and plug in numbers.

log b (a) = c

b^c = a

By plugging in the numbers we get this:

log 16 (4) = w

16^w = 4

w = 1/2

Answer:v= x a h add then multiply

Step-by-step explanation:

Answer:

85/100*x=51

Step-by-step explanation:

85x=5100

Answer:

A parallelogram has opposite sides parallel and equal in length. Also opposite angles are equal (angles "A" are the same, and angles "B" are the same). NOTE: Squares, Rectangles and Rhombuses are all Parallelograms!

Yes, they are.

Answer:

Yes

Step-by-step explanation:

Squares are quadrilaterals with 4 congruent sides and 4 right angles, and they also have two sets of parallel sides. Parallelograms are quadrilaterals with two sets of parallel sides. Since squares must be quadrilaterals with two sets of parallel sides, then all squares are parallelograms.

Answer:

y = 4

Step-by-step explanation:

Given that,

RS= 4y+2, ST = 3y+8, and RT = 38

We need to find the value of y.

As,

RT = RS+ST

Put all the values,

38 = 4y+2+3y+8

38-2-8 = 4y+3y

28 = 7y

y = 4

So, the value of y is equal to 4.

hbngfthjhuiuttyui

Step-by-step explanation:

yiutujhyyiiyttthhuijc

Answer:

Step-by-step explanation:

Step-by-step explanation:

side length(a)=5yd

slant height(l)=7yd

vertical height(h)=?

Now,

h2=(l)2+(a/2)2

h=find it

Then,

T.S.A.=a2+2al

Surface area of square pyramid is 95 square yard.

The word "surface" means " the exterior or outside part of an object or body". So, the total surface area of a square pyramid is the sum of the areas of its lateral faces and its base.

So, the surface area of a square pyramid is the sum of the areas of four of its triangular side faces and the base area which is square.

Given

Length = 5 yd

Slant height = 7 yd

Surface area of square pyramid = 4 (Area of triangle) +  area of square

S = [tex]4\frac{1}{2}bh+side^{2}[/tex]

S = [tex]4 . \frac{1}{2} (5)(7)+5.5[/tex]

S = 70 + 25

S = 95 square yard.

Hence, Surface area of square pyramid is 95 square yard.

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Let X be a random variable denoting pulse rates of females as described, with mean µ = 74.0 bpm and standard deviation σ = 12.5 bpm. Then

P(70 < X < 78) = P((70 - µ)/σ < (X - µ)/σ < (78 - µ)/σ)

… = P(-0.32 < Z < 0.32)

… = P(Z < 0.32) - P(Z < -0.32)

… ≈ 0.6255 - 0.3745

… ≈ 0.2510

where Z is normally distributed with mean 0 and s.d. 1.

• • •

Next, you sample 25 females from the population and want to find the probability that their average falls between 70 and 78 bpm. Let [tex]X_i[/tex] denote the pulse rate of the i-th woman from the sample, and let Y be the random variable for the sample mean; that is,

[tex]Y=\displaystyle\sum_{i=1}^{25}\frac{X_i}{25}[/tex]

Recall that a sample of size n taken from a normal distribution with mean µ and s.d. σ has a mean that is also normally distributed with mean µ and s.d. σ/√n.

The mean stays the same, µ = 74.0, but now the s.d. is σ/√n = σ/5 = 2.5. So we have

P(70 < Y < 78) = P((70 - µ)/(σ/5) < (Y - µ)/(σ/5) < (78 - µ)/(σ/5))

… = P(-1.6 < Z < 1.6)

… = P(Z < 1.6) - P(Z < -1.6)

… ≈ 0.9452 - 0.0548

… ≈ 0.8904

Answer:

The answer is 14:17

Step-by-step explanation:

31-14 is 17 and 14 are female and 17 are male so we do 14:17

Answer:

Area of the actual room = 288 m²

Step-by-step explanation:

Given:

Scale factor = 2cm to 4 m

Dimension of rectangle ball room = 6 cm and 12 cm

Find:

Area of the actual room

Computation:

Actual dimension of rectangle ball room;

⇒ [6/2]4 = 12 m

⇒ [12/2]4 = 24 m

Area of rectangle = Length x Width

⇒ Area of the actual room = Actual length x Actual width

⇒ Area of the actual room = 12 x 24

Area of the actual room = 288 m²

Answer:

Step-by-step explanation:

The probability of winning the jackpot is 1/32728332.

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls (1 through 43) and matching the number on the gold ball (1 through 34).

Total number of white balls = 43

Number of combinations of selecting 5 from 43 = 43C₅  

                                                                                = 43! / (5! × 38!)

                                                                                = 962598

Total number of gold balls = 34

Number of combinations of selecting 1 from 34 = 34C₁

                                                                               = 34

Total number of ways of selecting 5 white balls and 1 gold ball = 962598 × 34 = 32728332

There is only 1 way for which the player wins the jackpot.

Probability of winning the jackpot = 1/32728332

Hence the required probability is 1/32728332.

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Answer:

Step-by-step explanation:

h = 4.2 in

Volume = 3.6  cubic inches

[tex]\frac{1}{3}\pi r^{2}h = 3.6\\\\\frac{1}{3}*3.14*r^{2}*4.2 = 3.6\\\\r^{2}= \frac{3.6*3}{3.14*4.2}\\\\ = 0.81\\r=\sqrt{0.81}\\\\[/tex]

r = 0.9 in

Answer:

.... ..................

Answer:

D) 476 ft²

Step-by-step explanation:

12x14=168

(25+31)/2=28

28x11=308

308+168=476

Answer:

bro tell me the shape

Step-by-step explanation:

9514 1404 393

Answer:

  (x, y) = (4, 5)

Step-by-step explanation:

The solution to the matrix equation ...

  [tex]\left[\begin{array}{cc}3&-2\\6&-5\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}2\\-1\end{array}\right][/tex]

is shown in the attachment. It is found by multiplying the equation on the left by the inverse of the coefficient matrix.

  [tex]\left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}4\\5\end{array}\right][/tex]