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jeka57 [31]
2 years ago
11

John's commute to work is 20kmhr while Sheri's commute is 500mmin. Who has the fastest commute to work in mihrif 1.61km=1mi? A S

heri has the faster commute by 6.2mihr. B Sheri has the faster commute by 16.1mihr. C Sheri has the faster commute by 18.7mihr. D Sheri has the faster commute by 48.3mihr.
Mathematics
1 answer:
Andreyy892 years ago
3 0

Answer:

A) Sheri has the faster commute by 6.2 miles/hr.

Step-by-step explanation:

Given

John's commute to work =20\ km/hr

Sheri's commute to work  =500\ m/min

1.61\ km = 1\ mile

John's commute to work in miles per hour = \frac{20\ km}{1 hr}\times \frac{1\ mile}{1.61\ km}= 12.42\ miles/hr

Sheri's commute to work in miles per hour =\frac{500\ m}{1\ min}\times \frac{1\ km}{1000\ m}\times \frac{1\ mile}{1.61\ km}\times \frac{60\ min}{1\ hr}= 18.63\ miles/ hr

We can see that Sheri has a faster commute.

Difference between the rates =18.63\ miles/ hr-12.42\ miles/hr=6.21\ miles/hr\approx 6.2\ miles/hr

∴ Sheri has the faster commute by 6.2 miles/hr.

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Lincoln Junior High School asked all of their eighth grade students the question, “What is your favorite breakfast?” and 18 perc
Rufina [12.5K]

Answer:

I hope this image and explanation helps you!

Step-by-step explanation:

All students in the eighth grade were surveyed, so we can make the valid conclusion that 18% of all students in the eighth grade at Lincoln Junior High School have pancakes as their favorite breakfast.

However, the question did not ask about the students' favorite meal of the day, so we cannot draw any valid conclusions about the students' favorite meal.

The valid conclusion:

18% of all students in the eighth grade at Lincoln Junior High School have pancakes as their favorite breakfast, but we cannot conclude anything about the percent of the population who have breakfast as their favorite meal.

5 0
2 years ago
A recipe calls for 2 tsp of salt, 1 tsp of pepper, and 4 tsp of garlic powder. How much pepper and garlic powder would you need
MakcuM [25]

Answer:

amount of pepper required= 7.5 tsp

amount of garlic powder required = 30 tsp

Step-by-step explanation:

Given,

amount of salt used for small batch of the recipe = 2 tsp

amount of pepper used for small batch of the recipe = 1 tsp

amount of garlic powder used for small batch of the recipe = 4 tsp

amount of salt used for the larger batch = 15 tsp

                                                             = 2 x 7.5 tsp

                                                             = amount of salt used for small batch the recipe x 7.5

So,

the amount of pepper needed for the larger batch= 7.5 x amount of pepper used for the small batch of recipe

                                                                      = 7.5 x 1 tsp

                                                                       = 7.5 tsp

the amount of garlic powder needed for the larger batch= 7.5 x amount of garlic powder used for the small batch of recipe

                                                                                          = 7.5 x 4 tsp

                                                                                          = 30 tsp

3 0
2 years ago
Paint costing $19 per gallon is to be mixed with thinner costing $3 per gallon. How much of each should be added to make 16 gall
Evgen [1.6K]
Let x represent gallons of $19 paint
let y represent gallons of $3 paint

first you make your 2 equations

x+y=16, y=16-x
(19x+3y) ÷ 16 = 14

then you use substitution

14 = (19x + 3(16-x) ) ÷16
224 = 19x + 48 - 3x
176 = 16x
11 = x, so there's 11 gallons of $19 paint
recall that x+y=16
11+y=16
5=y

so there are 11 gallons of $19 paint and 5 gallons of $3 paint


4 0
2 years ago
1. The value of k for which equation 9x2 + 8xk+8 = 0 has equal roots is:
Nesterboy [21]

Answer:

Option C

+ or - 3

Step-by-step explanation:

A quadratic equation will have equal roots if its Discriminant is equal to zero.

the discriminant in this case is b^{2}- 4 ac

considering the equation,

9x^{2} + 8xk+8 = 0

a = 9, b= 8k, c=8

Replacing the variables in the original equation with their respective values, we will have:

8k^{2}- 4 \times 9 \times 8=0\\64k^{2}=288\\k=\sqrt{288/64} =\sqrt{9/2}

Note: The values of k are meant to be + or -2.12 as seen from the workings

However, these are not in the options given. the closest choice to it

is + or - 3

8 0
2 years ago
Algebra. Find the variable in the equation 803 divided by 73=m
weeeeeb [17]

<u>Answer:</u>

The value of variable "m" in the equation 803 divided by 73 = m is equal to 11.

<u>Solution:</u>

Need to find the variable in the given equation 803 divided by 73 = m

That means need to solve below expression to determine value of variable m.

\frac{803}{73}=m

So let’s solve left hand side to get the value of  m.

For sake of simplicity let’s do factorization of numerator and denominator and remove the common terms in numerator and denominator.

\begin{array}{l}{803=73 \times 11} \\\\ {73=73 \times 1} \\\\ {=>\frac{803}{73}=\frac{73 \times 11}{73 \times 1}=11}\end{array}

Hence value of variable m is equal to 11.

8 0
2 years ago
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