Josue is running intervals. If he runs high-speed intervals in 16 seconds, and low-speed intervals in 23 seconds, and he runs a combined total of 15 intervals in 4 minutes and 56 seconds, how many of each type of interval did he run?

Answers

Answer 1

Answer: He run 7 high-speed intervals and 8 low-speed intervals.

Step-by-step explanation:

Let x = Number of high-speed intervals.

y= Number of low-speed intervals .

He runs high-speed intervals in 16 seconds, and low-speed intervals in 23 seconds, and he runs a combined total of 15 intervals in 4 minutes and 56 seconds.

4 min 56 sec = (4(60)+56) sec = 296  sec   [ 1 minute = 60 seconds]

According to the question , we have the following linear equations :

[tex]x+y=15\ ...(i)\\\\ 16x+23y=296\ ...(ii)[/tex]

Multiply (i)by 16 , we get

[tex]16x+16y=240\ ...(iii)[/tex]

Subtract (iii) from (ii)

[tex]7y=56\\\\\Rightarrow\ y=8[/tex]

Put value of y in (i) , we get

[tex]x+8=15\Rightarrow\ x=7[/tex]

Hence, he run 7 high-speed intervals and 8 low-speed intervals.


Related Questions

The ratio of the numerator and denominator of a rational number is 2 : 7 and
if 4 is added to the numerator and 2 is subtracted from denominator, the
rational number becomes 10
19
. Find the original rational number.

Answers

Answer:

6/21.

Step-by-step explanation:

let the rational number be 2x/7x.

2x + 4 / 7x - 2 = 10 /19

Cross multiply:

19(2x + 4) = 10(7x - 2)

38x + 76 = 70x - 20

96 = 70x - 38x

32x = 96

x = 3.

So the rational number is  2*3/ 7*3

= 6/21.

the sum of four consecutive odd numbers is 368 find the numbers​

Answers

Answer:

the four consecutive numbers are   89, 90, 91, 93.

Step-by-step explanation:

let the four consecutive numbers be x, x+2, x+4, x+6

according to the condition in the question

x+x+2+x+4+x+6=368

4x+12=368

4x=356

x= 89

So,  the numbers are   89, 90, 91, 93.

hope this will help :)

The Robinson family goes to the library. There are 5 people in the
family. Each person borrows 2 books. How many books does the
family borrow in all?
What is the unknown in this problem?
number of people in the family
number of books for each person
number of books in all

Answers

Answer:

10 books

Step-by-step explanation:

5 × 2 = 10

unknown in this problem is number of books in all

difference between non professional and semi professional human resources​

Answers

Answer:

The difference between non professional and semi professional human resources are as follows,

Step-by-step explanation:

non professional human resources are that group of people who have not attended any skills such as sweeper,etc.

semi professional human resources are that group of people who have attended skills and training but haven't experienced in any sector such as assistant pilot , assistant engineer, etc

PLEASE HELP which of the following is an infinite set ? A. the set of lessons in this course B. the set of even numbers from 0 to 10 C. 10 Billion D. the set of integers E. the null set F. none of the above

Answers

Answer:

I think it's D.

I'm 85% sure.

Answer:

yeah no doubt

d) is correct option...

brain list me plzzz

Given point P (3, 4). What is the distance of point P from (a) x axis (b) y axis?

Answers

Answer: Hi!

To find the distance of the point from each axis, all we have to do is look at the x and the y coordinates of the points. If we wanted to find the distance that point P was from the x axis, we would look at our y - coordinate:

(x, y) = (3, 4) So, point P is 4 units away from the x -axis.

Now we need to look at the x - coordinate to find the distance that point P is from the y axis:

(x, y) = (3, 4) So, point P is 3 units away from the y - axis.

Hope this helps!

1/9 as a percent? Rounded to the nearest hundreth.

Answers

Answer:

11.11%

Step-by-step explanation:

We can first convert the fraction [tex]\frac{1}{9}[/tex] into a decimal.

We know that a number over 9 will be 0.(that number repeating), for example, [tex]\frac{4}{9}[/tex] is 0.444444...

So this means that [tex]\frac{1}{9}[/tex] will be 0.11111...

Converting [tex]0.\overline{11}[/tex] into a percentage is easy - we just multiply by 100.

This get us [tex]11.\overline{11}[/tex]%, which rounds to 11.11%.

Hope this helped!

3. Which of these will DEFINITELY be true about any number between -35 and -15? (A) It will be equal to -25. (B)It will be less than -20. (c) It will be more than -10. (D)It will be less than -10

Answers

Answer:

(A) It will be equal to -25

Step-by-step explanation:

Given a number between -35 and -15.

To find:

A statement always true about the number.

(A) It will be equal to -25.

(B)It will be less than -20.

(c) It will be more than -10.

(D)It will be less than -10

Solution:

First of all, let us represent the given numbers on number line.

Please refer to the attached diagram for the number line representation of the numbers.

When we move towards left from 0, the numbers decrease.

Therefore, -15 is a value greater than -35.

-15 > -35

When we move towards right from 0, the numbers increase.

So, statement "A)It will be equal to -25" is true.

-25 will always be in between -15 and -35.

Option B:

Less than -20.

-40 is also lesser than -20 but is not in between -35 and -15.

So not true.

Option C:

More than -10.

-8 is also more than -10 but not in between -35 and -15.

So not true.

Option D:

Less than -10.

-11 is also lesser than -10 but is not in between -35 and -15.

So not true.

Please help as soon possible! :'(

Answers

Answer:

BC = 1/2 AC

2m angle DBC = m angle ABC

Angle ABC is bisected by ray BD

m∠WUT = 38°

Step-by-step explanation:

For both questions, we use the Angle Bisector Theorem.

Question 1:

We know since ray DB bisects ABC, AB and BC are congruent. They are split into 2 equal parts. Therefore, we know that if we take half of mAC, we should get either mBC or mAB. Therefore, the 1st statement is correct.

Since it is ray DB bisecting ABC, it created 2 right angles. If angle DBC was bisected, it would create 2 new angles that were 45° each, so the 2nd statement is incorrect.

We know that line ABC is equal to 180°. So if we add m∠ABD and m∠DBC (they both are 90°, as denoted in the picture) together, we should get 180°. Also, since they are congruent angles, one angle multiplied twice would also be 180°. Therefore, the 3rd statement is correct.

The Angle Bisector Theorem doesn't state that the bisector and one segment would be congruent. The length of the bisector could be anything and is not marked congruent to the other segments. Therefore, the 4th statement is incorrect.

Since we see that there is a bisector DB bisecting line ABC, creating 2 congruent segments and angles, we know that the 5th statement is correct.

Question 2:

The Angle Bisector Theorem states that a bisector that bisects 2 angles will become 2 smaller but congruent angles. So,

Step 1: Find x

4x + 6 = 6x - 10

6 = 2x - 10

16 = 2x

x = 8

Step 2: Find m∠WUT

m∠WUT = 6x - 10

m∠WUT = 6(8) - 10

m∠WUT = 48 - 10

m∠WUT = 38°


Solve the following equation for the variable.
x + 7 = 12

Answers

the answer is 5 + 7 = 12 so X = 5

Answer:

x=5

Step-by-step explanation:

i took 12 and subtracted 7 to see what i got and to check my answer i added 5 to 7 to see if i got 12

Please help ASAP!!!!!

Answers

Answer:

The answer is -14/25 or - 0.56

Write an inequality for the following statement. x is less than 2

Answers

Try doing x-(2) or x<2

What is two and one-fourth subtracted by one-eighth?

Answers

Two and one eighth is the answer

Simplifying two rational expressions, matching them with their equivalent simplified forms. Please helpppp! 23 pts.

Answers

The simplifed versions of the eqaution are attached below:

1. 3x-2
(x-2) (x-1)

2. x-7
x-2

75% of the M&Ms in a bag are red. There are 36 red in the class. How many M&M the
bag? ​

Answers

Answer:

48

Step-by-step explanation:

Let x be the total number of M&Ms in the bag.

0.75x = 36 because 75% of the M&Ms are red and there are 36 red M&Ms.

We can divide both sides by 0.75, getting x = 48.

Therefore, there are 48 M&Ms in the bag.

I need the answer ASAP!:/

Answers

Answer:

-2

Step-by-step explanation:

At first, you might think that -5 is bigger than -2 because 5 > 2, right? Actually, no, that's not how it works. The "rules" for numbers are flipped when you are dealing with negative numbers, so therefore, -2 is bigger. Basically, what I'm saying is that the smaller the number after the negative sign, the bigger the number is and vice versa.

Answer:

Answer is - 2

Step-by-step explanation:

Because in case of negative numbers the number which is smaller in negative no is bigger in negative

numbers I hope you understand....Mark me as brainliest

the market price of an articles is rs 4000. if the price of the aricle including13 % vat is rs 3616 . find the dis.. percent given to it ​

Answers

Step-by-step explanation:

Answer: see in the picture.

I hope it helps...


Brainliest for whoever gets this right!

Make x the subject of the formula

a(x-b)=a^2+bx

Answers

Answer:

                 [tex]\bold{x=\dfrac{a^2+ab}{a-b}}[/tex]

Step-by-step explanation:

[tex]\bold{a(x-b)=a^2+bx}\\\\\bold{ax-ab=a^2+bx}\\\\{}\ \ +ab\qquad+ab\\\\\bold{ax\ =\ a^2+bx+ab}\\\\ -bx\qquad-bx\\\\\bold{ax-bx=a^2+ab}\\\\\bold{(a-b)x\ =\ a^2+ab}\\\\\div(a-b)\quad\ \,\div(a-b)\\\\ \bold{x=\dfrac{a^2+ab}{a-b}}\qquad\qquad\qquad a\ne b[/tex]


(1) Steve found an orange caterpillar and a green caterpillar in his backyard. The green
caterpillar was 2/3 of an inch long and the orange caterpillar was 7/12 of an inch long. How
much longer was the green caterpillar than the orange caterpillar?


Answers

Answer:

5/3

Step-by-step explanation:

7/3 - 2/3 = 5/3, Hope this helps!

Brainlist! :c y no one helping

For which function is f(-x) = f(x)?
(A) f(x) = sqaure root x
(B) f(x) = 2x
(C) f(x) = x2
(D) f(x) = x2
(E) f(x) = 2^x​

Answers

Answer:

C and D are same options

(D)[tex] f(x) = x^2 [/tex]

Step-by-step explanation:

[tex]f(x) = {x}^{2} \\ plug \: x = - x \\ f( - x) = {( - x)}^{2} = {x}^{2} \\ f( - x) = f(x)[/tex]

What is the answer to the equation 2x = -10

Answers

Answer:

-5 homie

Step-by-step explanation:

-5 times 2 is -10

Problem IDPRAQT48 At the beginning of a trip, a car's gasoline tank contained 14 1/5 gallons of gas. At the end of the trip, it contained 8 2/3 gallons. How many gallons of gas did the car use?​

Answers

Answer:

5 8/15 Gallons

Step-by-step explanation:

Step 1: Change mixed numbers into improper fractions.

14 1/5 = 71/5

8 2/3 = 26/3

Step 2: Change the improper fractions to have the same denominator.

71/5 = 213/15

26/3 = 130/15

Step 3: Subtract

213/15 - 130/15 = 83/15

Step 4: Simplify

83/15 = 5 8/15

Hope this helps! :D

Answer:

i need points sorry :D

Step-by-step explanation:

What helps to encourage openness, sharing, and respect for one another’s ideas during a group discussion?

Answers

Answer:

a sense of cohesion

Step-by-step explanation:

Team cohesion is a concept of how a team stays committed and values the interest of its members. A group can remain in a stable state when cohesion is strong, but the lack of cohesion made it prone to fall apart. The research of group cohesion is an important subject for study o how people stay interested in making large institutions work efficiently. It is referred to as a group of individuals with the same values and skills. And such a group and members of their group are dependable on each other.

In other to command respect and the acceptance of other people's view during a group discussion, it is imperative than contributing members can prove their inputs or view with evidence.

The ability to back up views with evidence would allow others to respect the opinion put forward due to the fact that it has a basis.

Provision of evidence also allows other's to share views brought forward due to the backing provided by the evidence.

Learn more : https://brainly.com/question/17361599

which one is greater -8.652 or -7.045

Answers

Answer:

-7.045 is greater

Step-by-step explanation:

Because -7.045 is closer to 0

Answer:

-7.045

Step-by-step explanation:

how to do this question plz answer me step by step plzz ​

Answers

Answer:

Not enough tables.

Step-by-step explanation:

Circumference is 2*pi*r

The diameter is 2 times the radius or 2r, if the table diameter is 180cm. All we need to do is multiply by pi (3.14159) to get the circumference.

180*pi = 556.48cm

If each guest needs 70cm then we divide the circumference by 70

556.48/70 = 8.08 but we cant have a portion of a person so we can fit 8 people per table.

18 tables with 8 at a table is 8 x 18 = 144

If 145 guests are attending then there aren't enough tables, you are 1 table short.

a gear ratio is the ratio of the teeth on the front sprocket and the teeth on the rear sprocket. If a bike has 36 teeth on the front spocket and 12 teeth on the rear sprocket, what is the gear ratio for the bike?​

Answers

Answer:

3 : 1

Step-by-step explanation:

ratio = front on front : teeth on rear = 36 : 12 = 3 : 1


44% is equivalent to what fraction in reduced terms?

Answers

Answer:

44/100 will be reduced to 11/25

Step-by-step explanation:

Answer:

11/25

Step-by-step explanation:

First, we know 44% can be changed to 44/100, since 44 is 44% is 100.

Now, we can simplify 44/100:

44/100

= 22/50

= 11/25

So, 44% is equivalent to 11/25

module,string,battery,array.(find the odd man out)​

Answers

Answer:

string

Step-by-step explanation:

beacuse module,battery,array are same

In the image, mZHKM = 155° and mZJKL = (5x + 15)°.
H
What is the value of x?
OA. 8
OB.
34
OC. 28
D.
2

Answers

Answer:

Option C. 28

Step-by-step explanation:

From the question given,

m<HKM = 155°

m<JKL = (5x + 15)°

From the diagram,

m<HKM = m<JKL (since they are directly opposite)

Inputting the value of m<HKM and m<JKL into the above expression, we have:

m<HKM = m<JKL

m<HKM = 155°

m<JKL = (5x + 15)°

155 = 5x + 15

Collect like terms

155 – 15 = 5x

140 = 5x

Divide both side by 5

x = 140/5

x = 28

Therefore, the value of x is 28.

Answer:  C. 28

Step-by-step explanation:

In the figure, the segment is parallel to one side of the triangle. The ratio of x to 16 is
a.1/2
b.1
c.2
d.3

Answers

A)

Step-by-step explanation:

6/12=x/16

12x=96

x=8

6/12=8/16

simplified to 1/2

Therefore, the answer is A)

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