All categories

3 years ago

Add the mixed number

Mathematics

1 answer:

Tanzania [10]3 years ago

3 0

Answer: 3 7/14 + 2 12/14 = 5 19/14

Step-by-step explanation:

Find the LCM of the denominator.

2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20

7 = 7, 14, 21, 28, 35

3 1/2 = 3 7/14

2 6/7 = 2 12/14

3 7/14 + 2 12/14 = 5 19/14

Hope that helped!

You might be interested in

Write 3/16 as a percent A.) 6.25% B.) 18.75 C.) 31.6 D.) 1875%

11Alexandr11 [23.1K]

Hello! Just by lookiing at the answer choices, we can eliminate D, because that percentage is just too big. What you would need to do is divide 3 by 16. 3/16 is 0.1875. Multiply that by 100 to get 18.75, which will be the percent, because percents are parts of 100. There. 3/16 is 18.75%. The answer is B: 18.75%.

5 0

3 years ago

The value of a boat is depreciating at a rate of 7% per year. In 2006, the boat was worth $17,300. Find the value of the boat in

gtnhenbr [62]

Answer:

Step-by-step explanation:

$V=Ar^t\\ \\ V=17300((100-7)/100)^t\\ V=17300(0.93)^{(y-2006)}\\ V(2011)=17300(0.93)^{(2012-2006)}=\$ 11192.29$

5 0

3 years ago

A store was keeping track of how many bottles of hand sanitizer and soap bars were sold last week. A bottle of hand sanitizer co

agasfer [191]

Answer:

Hand sanitizer=135 bottles

Bar soap=83 bottles

Step-by-step explanation:

Let x represent the hand sanitizer and y the sop.

-Our problem can be expressed as:

$x+y=218\ \ \ \ \ ...i\\\\4.25x+2.15y=752.20\ \ \ \ \ ...ii$

#Make x the subject in i then substitute in ii to solve;

$x=218-y\\\\\therefore 4.25(218-y)+2.15y=752.20\\\\926.5-4.25y+2.15y=752.20\\\\174.3=2.1y\\\\y=83\\\\x=218-83=135$

Hence, 135 bottles of hand sanitizer and 83 bottles of bar soap were sold.

5 0

3 years ago

PAIesung

Svetllana [295]

Answer:

The sale price was 60% of the purchase price.

Step-by-step explanation:

Given that Blake bought a motorcycle for $ 550 last year and sold it for $ 330 this year, to determine what is his sale price as a percentage of his purchase price, the following calculation must be performed:

550 = 100

330 = X

330 x 100/550 = X

33000/550 = X

60 = X

Therefore, the sale price was 60% of the purchase price.

5 0

3 years ago

A parabolic arch has a height of 25 feet and a span of 40 feet. How high is the arch 8 feet from each side of the center?

Llana [10]

Answer:

The correct option is;

21 ft

Step-by-step explanation:

The equation of the parabolic arc is as follows;

y = a(x - h)² + k

Where the height is 25 ft and the span is 40 ft, the coordinates of the vertex (h, k) is then (20, 25)

We therefore have;

y = a(x - 20)² + 25

Whereby the parabola starts from the origin (0, 0), we have;

0 = a(0 - 20)² + 25

0 = 20²a + 25 → 0 = 400·a + 25

∴a = -25/400 = -1/16

The equation of the parabola is therefore;

$y = (-\frac{1}{16})(x-20)^2 + 25$

To find the height 8 ft from the center, where the center is at x = 20 we have 8 ft from center = x = 20 - 8 = 12 or x = 20 + 8 = 28

Therefore, plugging the value of x = 12 or 28 in the equation for the parabola gives;

$y = (-\frac{1}{16})(12-20)^2 + 25 = (-\frac{1}{16})(-8)^2 + 25 = 21 \ ft$ .

4 0

3 years ago