All categories

2 years ago

Manny makes the following purchases at the store:

Mathematics

2 answers:

Anna [14]2 years ago

8 0

The correct answer is:

He paid the correct amount.

Explanation:

First we find the subtotal of Manny's items:

32.65+3(14.89)+39.99 = 32.65+44.67+39.99 = 117.31

Next, we calculate the discount. If he gets 10% off, this means he pays 100%-10% = 90% of the total. 90% = 90/100 = 0.9:

0.9(117.31) = 105.579

Next we calculate the tax. Since tax is 8%, this means he pays 100% of his subtotal after discount plus the 8% tax; 100%+8% = 108%; 108% = 108/100 = 1.08:

1.08(105.579) = 114.02532 ≈ 114.03

Since this is what he paid, he paid the correct amount.

adelina 88 [10]2 years ago

7 0

paid the correct amount

You might be interested in

My dog, Petey weighs 75 pounds. Last summer he weighed 65 pounds. What percent of his weight did he gain?

OLEGan [10]

Answer:

he gain 10%

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Trapezoid QRST has two right angles. A 5-in.altitude can be drawn dividing QRDT into a rectangle and an isosceles right triangle

Vika [28.1K]

Answer:

The area of the trapezoid is 57.5 square inches

Step-by-step explanation:

we know that

The trapezoid QRST can be divided into a rectangle QRDT and an isosceles right triangle RSD

see the attached figure to better understand the problem

step 1

The area of rectangle is given by the formula

$A=((QR)(RD)$

we have

$RD=5\ in$ ----> altitude

$QR=9\ in$

substitute

$A=((9)(5)=45\ in^2$

step 2

Find the area of the isosceles right triangle

The area of triangle is given by the formula

$A=\frac{1}{2}(RD)(DS)$

we have

$RD=DS=5\ in$ ---> because is an isosceles triangle

substitute

$A=\frac{1}{2}(5)(5)=12.5\ in^2$

step 3

Adds the areas

$A=45+12.5=57.5\ in^2$

3 0

2 years ago

Read 2 more answers

Wich is equivalent to 12(3 2/3)!?

Lemur [1.5K]

Answer:

1/5 = 2/10 = 3/15 = 4/20

= 5/25 = 6/30 = 7/35 = 8/40

= 9/45 = 10/50 = 11/55 = 12/60

= 13/65 = 14/70 = 15/75 = 16/80

= 17/85 = 18/90 = 19/95 = 20/100

= 21/105 = 22/110 = 23/115 = 24/120

= 25/125 = 26/130 = 27/135 = 28/140

= 29/145 = 30/150 = 31/155 = 32/160

= 33/165 = 34/170 = 35/175 = 36/180

= 37/185 = 38/190 = 39/195 = 40/200

= 41/205 = 42/210 = 43/215 = 44/220

= 45/225 = 46/230 = 47/235 = 48/240

= 49/245 = 50/250 = 51/255 = 52/260

= 53/265 = 54/270 = 55/275 = 56/280

= 57/285 = 58/290 = 59/295 = 60/300

= 61/305 = 62/310 = 63/315 = 64/320

= 65/325 = 66/330 = 67/335 = 68/340

= 69/345 = 70/350 = 71/355 = 72/360

= 73/365 = 74/370 = 75/375 = 76/380

= 77/385 = 78/390 = 79/395 = 80/400

= 81/405 = 82/410 = 83/415 = 84/420

= 85/425 = 86/430 = 87/435 = 88/440

= 89/445 = 90/450 = 91/455 = 92/460

= 93/465 = 94/470 = 95/475 = 96/480

= 97/485 = 98/490 = 99/495 = 100/500

Step-by-step explanation:

all of these are equivalent

3 0

2 years ago

Read 2 more answers

Find the next 3 terms in the geometric sequence -36, 6, -1, 1/6, ...

timama [110]

we are given

geometric sequence -36, 6, -1, 1/6, ...

first term is -36

$a_1=-36$

now, we can find common ratio

$r=\frac{6}{-36}$

$r=-\frac{1}{6}$

now, we can find nth term

$a_n=a_1(r)^{n-1}$

now, we can plug values

and we get

$a_n=36(-\frac{1}{6})^{n-1}$

now, we can find 5th term , 6th term, 7th term

fifth term:

$a_5=36(-\frac{1}{6})^{4}$

$a_5=\frac{1}{36}$

sixth term:

$a_6=36(-\frac{1}{6})^{5}$

$a_6=-\frac{1}{216}$

seventh term:

$a_7=36(-\frac{1}{6})^{6}$

$a_7=\frac{1}{1296}$

so, next terms are

$a_5=\frac{1}{36}$ , $a_6=-\frac{1}{216}$

, $a_7=\frac{1}{1296}$ .............Answer

6 0

2 years ago

Find the ratio of the volume of one sphere to the volume of the right cylinder

yarga [219]

Answer:

Step-by-step explanation:

Let $r$ be the radius of one sphere.

Volume of sphere is $V=\frac{4}{3}\pi r^3$

Since radius is r, the height of the cylinder will be $4r$

Also, the cylinder has the same radius as the sphere: $r$

Volume of Cylinder is $V=\pi r^2 h$

Plugging in the values we get: $V=\pi (r)^{2}(4r)=4\pi r^3$

Ratio of volume of 1 sphere to volume of cylinder is:

$\frac{\frac{4}{3}\pi r^3}{4\pi r^3}=\frac{\frac{4}{3}}{4}=\frac{4}{3}*\frac{1}{4}=\frac{1}{3}$

The ratio is 1:3

Answer choice B is right.

5 0

2 years ago