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Andrei [34K]
2 years ago
12

Lara surveyed all of the 11th grade students at her school about the number of languages they speak and whether or not they have

allergies. Here are her results:

Mathematics
1 answer:
Bingel [31]2 years ago
6 0

Answer:

57.6% have allergies

42.4% have no allergies

Step-by-step explanation:

We only need to consider the students who speak two languages according to the question.

To find the percent with allergies, divide the number of students with allergies by the total number of students (that speak two languages).

19/33 = 0.5757 = 57.6%

To find the percent without allergies, divide the number of students without allergies by the total number of students (that speak two languages).

14/33 = 0.4242 = 42.4%

Check your work by adding the percentages to make sure they equal 100%

57.6 + 42.4 = 100

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The first five multiples for the numbers 4 and 6 are shown below. Multiples of 4: 4, 8, 12, 16, 20, . . . Multiples of 6: 6, 12,
inn [45]

Answer: The least common multiple of 4 and 6 is 12 because this is the smallest positive integer that is divisible by both 4 and 6.

Step-by-step explanation:

  • The least common multiple of two integers m and n is the least positive integer that is divisible by both m and n.

We are given that :

The first five multiples for the numbers 4 and 6 are shown below.

\text{ Multiples of 4: 4, 8, 12, 16, 20, . . . }\\\\\text{Multiples of 6: 6, 12, 18, 24, 30, . . . }

We can see that from the multiples of 4 and 6 , the least common multiple of 4 and 6 =12 such that 12 is divisible by 4 and 6 .

5 0
3 years ago
Read 2 more answers
Two sides of a rectangle are 4cm in length. The other two sides are 6cm in length. What is the perimeter of the rectangle? Inclu
mr Goodwill [35]

Answer: 200 mm

Step-by-step explanation:

The perimeter of rectangle is given by :-

P=2(l+w), where l is length and w is width of the rectangle.

Given : Two sides of a rectangle are 4 cm in length. The other two sides are 6 cm in length.

The perimeter of the rectangle will be :_

P=2(4+6)=2(10)=20\ cm

We know that 1 cm = 10 mm

Therefore,  perimeter of the rectangle = 20\times10=200\ mm

8 0
3 years ago
7900 dollars is placed in an account with an annual interest rate of 5.5%. How much will be in the account after 11 years, to th
Lady bird [3.3K]

Answer:

\$12,679.50

Step-by-step explanation:

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=11\ years\\ P=\$7,900\\r=5.5\%=5.5/100=0.055

substitute in the formula above

A=7,900(1+0.055*11)

A=7,900(1.605)

A=\$12,679.50

4 0
3 years ago
Read 2 more answers
Dan buys a car for £2200.
KatRina [158]

Answer:

The worth of the car after 6 years is £2,134.82

Step-by-step explanation:

The amount at which Dan buys the car, PV = £2200

The rate at which the car depreciates, r = -0.5%

The car's worth, 'FV', in 6 years is given as follows;

FV = PV \cdot \left ( 1 + \dfrac{r}{100} \right )^n

Where;

r = The depreciation rate (negative) = -0.5%

FV = The future value of the asset

PV = The present value pf the asset = £2200

n = The number of years (depreciating) = 6

By plugging in the values, we get;

FV = 2200 \times \left ( 1 + \dfrac{-0.5}{100} \right )^6 \approx 2,134.82

The amount the car will be worth which is its future value, FV after 6 years is FV ≈ £2,134.82 (after rounding to the nearest penny (hundredth))

8 0
3 years ago
What is 2 5/12 -(-2 1/6) Express the answer in simplest form.
VladimirAG [237]
Answer:
= 29/12 − -13/6

<span>= ((29 × 6) − (-13 × 12)) / (12 × 6) </span>

= (174 - -156) / 72

= 330/72

= 55/12

<span>= 4 7/12</span>
3 0
3 years ago
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