What is 324,650 rounded to the nearest thousands

Answers

Answer 1

Answer:
The next bigger thousand is 325,000 .
The next smaller thousand is 324,000 .

324,650 is closer to 325,000 than it is to 324,000 .

So 325,000 is the nearest thousand.

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What is the value of 3.2n when n=5

Answers

Answer:

16 (units)

Step-by-step explanation:

3.2n

n is a variable, so when you let n = 5, you substitute.

3.2n = 3.2 * 5 = 16 (units)

The longest side of an isosceles obtuse triangle measures 20 centimeters. The other two side lengths are congruent but unknown.What is the greatest possible whole-number value of the congruent side lengths?

A.9 cm
B.10 cm
C.14 cm
D.15 cm

Answers

Since 9+9=19<20 and 10+10=20=20, the triangles with sides 9, 9, 20 and 10, 10, 20 cannot exist.

Use the cosine theorem to check which option C or D is true:

$20^2=14^2+14^2-2\cdot 14\cdot 14\cos \theta,\n 400=196+196-392\cos \theta,\n 8=-392\cos \theta,\n \n \cos \theta=-(8)/(392) =-(1)/(49)$ .

You have that cosine of the greatest angle (opposite to the greatest side) is negative, this means that angle is obtuse.

$20^2=15^2+15^2-2\cdot 15\cdot 15\cos \theta,\n 400=225+225-450\cos \theta,\n -50=-450\cos \theta,\n \n \cos \theta=(50)/(450) =(1)/(9)$ .

Here you have that cosine of the greatest angle (opposite to the greatest side) is posiative, this means that angle is acute.

Answer: the greatest possible whole-number value of the congruent side lengths is 14 (choice C)

Answer:

Step-by-step explanation:

jack and kevin play in a basketball game if thr ratio of point scsred by jack to points scored by kevin is 4 to 3 which of the following could npt be the total number of points scored by the two boys

Answers

Answer:

3, kevin scored 2 two pointers, jack scored a three pointer

Step-by-step explanation:

Answer: 16

Step-by-step explanation:

Every possible combination of scores is a multiple of 7, since the two terms of the ratio have a sum of 7.

16 is not a multiple of 7, so it cannot be a combination of the boys' scores.

Hope this helps.

A teacher had 24 red pens. If the ratio of red pens to blue pens she owned was 8:7, how many pens did she have total

Answers

45 pens.

24 ÷ 8 =3 Then you need to time 3 and 7 together
3 x 7 = 21 Then add the total of pens the teacher has
21 + 24 = 45 pens

For every 8 red pens she has, she has 7 blue pens.

So, she has 21 blue pens.

In total, she has 45 pens.

A convenience store sells two brands of orange juice. Brand A contains 8 fluid ounces and costs $1.28. Brand B contains 12 fluid ounces and costs $1.68. What is the difference in cost, in dollars, per fluid ounce between the two brands of juice?

Answers

Answer:

The difference between both brands is $0,02

Step-by-step explanation:

To compare both cost per ounce , we must get this cost for each brand. We get it dividing the price by the content.

Brand A contains 8 fluid ounces and costs $1.28.

CostA=$1.28/8 ounces

CostA=$0,16 per ounce

Brand B contains 12 fluid ounces and costs $1.68.

CostB=$1.68/12

CostB=$0,14 per ounce

The difference between both brands is Cost A- Cost B

CostA-CostB=$0,16 per ounce -$0,14 per ounce

Dif=$0,02

Brand A: 8(fl oz):$1:28
Brand B: 12:1.68
1)divide each side of the ratio
8:1.28 = 1:0.16
divide 8 by 8, and 1.28 by 8.
12: 1.68 = 1:0.14
divide each side by 12.
so, for brand A, for every one fluid oz it costs $0.16. for brand B, for every one fluid oz, it costs $0.14.
0.16-0.14= 0.02
$0.02 per fluid oz

Solve for x. Express the answer in simplest form,

Answers

$(6x-1)/(5)=(3)/(1) \ \ \ |\hbox{cross multiply} \n6x-1=3 * 5 \n6x-1=15 \n6x=15+1 \n6x=16 \nx=(16)/(6) \nx=(8)/(3) \nx=2(2)/(3)$

In order to solve for x, you need to isolate the x on one side. First, you need to multiply the 5 onto the other side to get rid of the fraction. Then, just add 1 and divide by 6 to isolate the x (steps will be shown below):

$(6x-1)/(5)=(3)/(1)\n5((6x-1)/(5))=5(3)\n6x-1=15\n6x-1+1=15+1\n6x=16\n6x/6=16/6\nx=(16)/(6)=(8)/(3)$

So, x = 8/3

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