Write and solve a word problem involving a $145.00 price and a 5.5% sales tax.

9514 1404 393

Explanation:

The attachment shows such a construction. Here are the steps.

1. Draw circle B with radius 3.5 cm

2. Mark a point X on the circle and draw circle X with the same radius. Mark the intersection points of circles B and X as points A and C.

3. Draw circles A and C with radii 5.2 cm. Mark the intersection point as point D so that X is on segment BD.

4. Finish by drawing kite ABCD.

Answer:

300

Step-by-step explanation:

Answer:

[tex]{ \tt{4 log_{4}(3100) }} \\ = { \tt{4 log_{4}(775 \times 4) }} \\ = { \tt{4 log_{4}(775) + 4 log_{4}(4) }} \\ = { \tt{4( (\frac{ log_{10}775 }{ log_{10}4 } ) +1)}} \\ = { \tt{4(4.8 + 1)}} \\ = { \tt{23.2}}[/tex]

Answer:

237.9 yards

Step-by-step explanation:

90-23=67

cos 67⁰=x/610

x=610 cos 67

x= 610 x 0.39

x=237.9 yards

Answer:

C. 6 nights in Washington, 4 nights in Atlanta, and 12 nights in Dallas

Step-by-step explanation:

Answer:

41.67%

Step-by-step explanation:

[tex]Z = \frac{x-\alpha}{\sigma}[/tex]     9-8.3 = 0.7/1.2 = 0.5833  1-0.5833 = 0.4167*10 = 41.67%

The probability of the individual sample which is greater then 9 cm is 0.2799601 .

'Probability is the extent to which an event is likely to occur, measured by the ratio of the favorable cases to the total number of cases possible.'

According to the given problem,

μ = 8.3 cm

σ = 1.2 cm

X ≈ N[tex](0,1)P(X < x )[/tex]

= P(Z = X - μ / σ)

here , X ≈ N (8.3 , [tex](1.2)^2)P(X > 9)[/tex]

= P[tex](Z > \frac{9-8.3}{1.2})[/tex]

⇒ P[tex](Z>0.583333)[/tex]

⇒ 1 - P[tex](Z<0.583333)[/tex]

⇒ 1 - 0.7200399 [ for greater surface area of the bell-curve ]

⇒ 0.2799601

Hence, we can conclude, the probability of individual sample is 0.2799601 .

Learn more about the probability here :brainly.com/question/23211929?#SPJ2

Answer:

Step-by-step explanation:

18,  count the dots. The number line aka 0-7 is just showing the number of possible pets a person could have

Answer:

10 meaters yes these answer is correct

Answer:

$3240

Step-by-step explanation:

hope it is well understood

Answer: 59300

Step-by-step explanation:

Answer: [tex]x^2+4x+12[/tex]

Step-by-step explanation:

[tex]f(x)=x^2+8\\f(x+2)=(x+2)^2+8\\f(x+2)=x^2+4x+4+8\\f(x+2)=x^2+4x+12[/tex]

Answer:

Step-by-step explanation:

The formula for this is

[tex]A(t)=P(1+r)^t[/tex] and we have everything but the P. Filling in:

[tex]1469=P(1+.038)^{30[/tex] and

[tex]1469=P(1.038)^{30[/tex] and

1469 = P(3.061403718) so

P = 479.85

Answer :The correct equation is the third option : y = (1/4)x - 2

Answer:

n = 6

Step-by-step explanation:

If n/7 < 8/9, then n/7 < 1

n/7 < 1

n < 7

That leaves us with 5 and 6. With this, we use trial and error.

4/5 > 5/7 (not we want)

4/5 < 6/7 (what we want)

The answer is 6/7 or n = 6

Answer:

a.

[tex] log_{5}( {u}^{3 \times {v}^{4} } ) [/tex]

b.

[tex] ln( \frac{1}{( {x}^{2} - 2x + 1 } ) [/tex]

c.

[tex] log_{2}(x { \sqrt{3x - 2} }^{4} ) [/tex]

Answer:

No

Step-by-step explanation:

y=0.375x is a proportional or linear relationship because y is a consant multiplied by the variable x. In other words, x increases with y at a linear rate, therefore being proportional.

Answer:

0.81

Step-by-step explanation:

Find the point estimate by dividing the number of respondents that thought it was a major economic concern by the total number of people in the survey:

1,620/2,000

= 0.81

So, the point estimate is 0.81

Answer:

C. It is just right

Step-by-step explanation:

Kermit's Favorite iced tea:

Tea bags = 15

Water = 2 liters

Ratio of tea bags to water = 15 : 2

= 15/2

= 7.5

Peggy:

Tea bags = 90

Water = 12 liters

Ratio of tea bags to water = 90 : 12

= 90/12

= 7.5

C. It is just right

Kermit would think of Peggy's iced tea is just right

Answer:

c

Step-by-step explanation:

Answer:

3 doors if we are excluding her own. 4 if we are not.

4, 5, 6. she does not pass 7, she enters 7.

3, 4, 5, 6. it could be argued she must first pass her own door.

that context changes the answer.

Answer:

15" by 10"

Step-by-step explanation:

Use a proportion.

10'/5" = 30"/x

10x = 5 * 30

10x = 150

x = 15"

10'/5" = 20'/y

10y = 5 * 20

10y = 100

y = 10"

Answer: 15" by 10"

Answer:

[tex] \frac {x}{3} + 6 = 8 [/tex]

Step-by-step explanation:

Let the unknown number be x.

Quotient simply means to divide a number by another number without any remainder.

For example, a quotient of 2 simply means that a number divided by 5 would have a value that is equal to 2 without any remainder; [tex] \frac {10}{5} = 2[/tex]

Hence, translating the word problem in this scenario into an algebraic expression, we have;

[tex] \frac {x}{3} + 6 = 8 [/tex]

Simplifying further, we have;

[tex] \frac {x}{3} = 8 - 6 [/tex]

[tex] \frac {x}{3} = 2 [/tex]

Cross-multiplying, we have;

x = 3 * 2

x = 6

Answer:

157 is the 24th term.

Step-by-step explanation:

We are given that in an arithmetic sequence, -4 is the first term and 10 is the third term. And we want to find the term number of 157.

Recall that the direct formula for an arithmetic sequence is given by:

[tex]\displaystyle x_n=a+d(n-1)[/tex]

Where n is the nth term, a is the initial term, and d is the common difference.

We know that the initial term a is -4. Hence:

[tex]x_n= -4 + d(n-1)[/tex]

Since 10 is the third term, n = 3:

[tex]\displaystyle x_{3}=10=-4+d(3-1)[/tex]

Solve for the common difference:

[tex]14=2d\Rightarrow d=7[/tex]

Hence, our direct formula is:

[tex]\displaystyle x_n=-4+7(n-1)[/tex]

To find the term number of 157, let 157 equal xₙ and solve for n. Hence:

[tex]\displaystyle (157)=-4+7(n-1)[/tex]

Therefore:

[tex]\displaystyle \begin{aligned} 161 &= 7(n-1) \\ 23 & = n-1 \\ n &= 24\end{aligned}[/tex]

157 is the 24th term.

Let x be the number of one-striped fish and y the number of two-striped fish.

100 families each have 2 fish, so there are a total of 200 fish:

x + y = 200

x one-striped fish carry a total of x stripes, while y two-striped fish carry a total of 2y stripes. There are 273 stripes overall, so

x + 2y = 273

Solve for x and y. Subtracting the first equation from the second eliminates x :

(x + 2y) - (x + y) = 273 - 200   ==>   y = 73

Then

x + 73 = 200   ==>   x = 127

9514 1404 393

Answer:

Step-by-step explanation:

1. The denominator of a fraction indicates how many (equal) pieces a quantity is divided into. When that quantity is 1 cake, and it is divided into 8 equal pieces, each piece is 1/8 of the cake, and there are 8 pieces, or 8/8 of the cake altogether. 8/8 = 1 entire.

When 2/8 of the cake is eaten, there are 8-2 = 6 pieces left, or 6/8 of the cake remains.

When an additional 4/8 of the cake is eaten, there are 6-4 = 2 pieces left, or 2/8 of the cake remains.

__

The fraction 2/8 can be written as the product of fractions ...

  [tex]\dfrac{2}{8}=\dfrac{1\cdot2}{4\cdot2}=\dfrac{1}{4}\cdot\dfrac{2}{2}[/tex]

We know that 2/2 = 1, and anything times 1 is that same thing, so the fraction 2/8 can be "reduced" to its equivalent, 1/4.

  [tex]\dfrac{2}{8}=\dfrac{1}{4}\cdot1=\dfrac{1}{4}[/tex]

As far as we can tell, this question does not ask you to reduce the fraction. Since we're counting 1/8 cake slices, and there are 2 remaining, it is reasonable to leave the fraction as 2/8.

____

2. The given fractions are 1/5 pound, so it is reasonable to think of the whole weight of the 1-pound box as 5/5 pound. Two parts are 1/5 pound each, so the part remaining after considering those is ...

  5/5 - 1/5 - 1/5 = (5 -1 -1)/5 = 3/5

The third item in the box is 3/5 pound.

Answer:

ind the center and radius of the sphere: x2 + y2 +z2-8x + 2y + 62+1 0 2) Find an equation of the sphere that passes through the point (6,-2, 3) and has center (-1,2, 1). Find the curve in which the sphere from #2 intersects the yz-plane. For #4-11, u : ? + j-2k 4) 2u +3v 5) Iv 6) uv and v-3i-2j + k 8) Ivxu 9) comp,v 10) proju 11) Find the angle between u and v 12) Find the scalar triple product of a, b, and c. If a (3, 1,2), b (-1,1,0), and c (0,0,-4) 13) Find the values of x such that (3,2, x) and (2x, 4, x) are orthogonal 14) Find two unit vectors that are orthogonal to both j + 2k and i-2j+3k 15) Find the acute angle between two diagonals of a cube 16) Find a vector perpendicular to the plane through the points A(1,0,0), B(2,0,-1) and C(1,4,3) 17) Find parametric equations for the line through (4,-1, 2) and (1, 1, 5) 18) Find parametric equations for the line through (-2, 2, 4) and perpendicular to the plane 2x-y+5z 12 19) Find an equation of the plane through (2, 1,0) and parallel to x + 4y -3z 1 20) Find an equation of the plane through (3, -1, 1), (4, 0, 2), and (6, 3, 1). 21) Show that the planes x y-z 1 and 2x 3y + 4z 5 are neither parallel nor perpendicular. Find the angle between the planes.

Answer:

Question. Which triangle is △ABC similar to and why?

Answer.△ABC is similar to △JEL by AA Similarity Postulate.

Answer:

△ABC ≈△JEL

Step-by-step explanation:

△ABC is similar to △JEL by AA Similarity Postulate. (final answer)

Answer:

2:3 < 5:6

10:12 > 6:9

The ratios in table 1 are less than the ratios in Table 2

Step-by-step explanation:

cross multiply the ratios and you can tell which one is bigger.

For example, in the first ratio you can see that 2x6 < 5x3

Do that for the second set of ratios and you can see that the ratios in table one are smaller than the ratios in table 2.

Hope this helps

Answer:

2  :3 <  5:6

10:  12 >  6:9

Step-by-step explanation:

i took the test

Answer:

Step-by-step explanation:

Given,

[tex] \sqrt{34} \times \sqrt{y} = 34[/tex]

[tex] = > \sqrt{34y} = 34[/tex]

[tex] = > 34y = {34}^{2} [/tex]

[tex] = > 34y = 34 \times 34[/tex]

[tex] = > y = \frac{34 \times 34}{34} [/tex]

=> y = 34 (Ans)

Hello!

26xy(x + 5)(y - 4) ÷ 13x(y - 4) =

= 2xy × (x + 5) × (y - 4)x × (y - 4) =

= 2x²y × (x + 5) × (y - 4) × (y - 4) =

= 2x²y × (x + 5) × (y - 4)² =

= 2 × [x × (y - 4)]² × y × (x + 5) =

= 2(xy - 4x)² × y × (x + 5) =

= (2xy + 10y) × (x²y² - 8x²y + 16x²) =

= 2x³y³ - 16x³y² + 32x³y + 10x²y³ - 80x²y² + 160x²y

Good luck! :)

Step-by-step explanation:

y — yı = m(x – xı) equation of a line

Points A(1,3) and B(2,1)

Slope (m) = (y2 – y1) / (x2 – x1)

(1 –3) / (2 – 1)

–2/1

–2

Thus, y –3 = –2 (x – 1)

y – 3 = –2x + 2

y –3 + 3 = –2x + 2 + 3

y = –2x + 5