At what times of the day between 10:00 A.M. and 5:00 P.M. do the chemistry presentation and the recycling presentation start at the same time? SCIENCE MUSEUM
-Show Schedule-
Chemistry-Every 10 minutes
Electricity-Every 20 minutes
Recycling-Every 6 minutes
Fossils-Every 45 minutes

The first showing for all shows is at 10:00 A.M.

Answers

Answer 1

Answer: Okay, Chemistry runs every 10 minutes and the Recycling runs every 6 minutes. In order to find what time they both start at the same time you must find the lowest common multiple (if you are using mathematical terminology). To do this the long but visual way you can write out each of the times and find the first ones that are the same.
Chemistry: 10:00 10:10 10:20 10:30
Recycling: 10:00 10:06 10:12 10:18 10:24 10:30
As you can see both Chemistry and Recycling both have a LCM of 10:30 which tells us that the time for which both Chemistry and Recycling start at the same time during the show is 10:30AM.

Answer 2

Answer:

Final answer:

The chemistry and recycling presentations coincide every 30 minutes starting from 10:00 A.M. They will occur at the same time at 10:30 A.M., 11:00 A.M., 11:30 A.M., etc., until 5:00 P.M.

Explanation:

To solve this problem, we need to find the common multiple of 10 and 6, which is the frequency in minutes of the chemistry and recycling presentations respectively. The least common multiple (LCM) of 10 and 6 is 30. So, the chemistry and recycling presentations will coincide every 30 minutes.

Starting at 10:00 A.M., they would coincide at 10:30 A.M., 11:00 A.M., 11:30 A.M., and continue in this pattern until 5:00 P.M.

Learn more about least common multiple here:

brainly.com/question/34291727

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A roadside vegetable stand sells pumpkins for$5 each and squashes for $3 each. One day they sold 6 more squash than pumpkins an their sales totaled $98 .write and solve a system if equations to find how many pumpkins and squash hey sold?

Answers

Let's take those 6 squashes. You get 98-6*3=80. Now you have an identical number of pumpkins and squashes. A pumpkin and a squash are sold, in total, for $8, so to get $80 you need 10 of each. You have 10 pumpkins and 10+6=16 squashes.

Answer:

=16 squashes.

-2(a-8)+6a=36
what's the value of a
A=

Answers

Distribute -1 into the brackets.
-2(a - 8) + 6a = 36
-2a + 16 + 6a = 36
Take 16 to the other side
-2a + 6a + 16 = 36
- 16 -16
-2a + 6a = 36 - 16
Combine like terms
4a = 20
Divide by 4 on either sides to isolate a
$(4a)/(4) = (20)/(4)$
4 and 4 cancels out.
a = 5

The Golden Gate, located in San Francisco, California , is the tallest bridge in the world, with its tower extending 746 feet above the water and the floor of the bridge extending 220 feet above water. Notice that the supporting cables of the Golden Gate Bridge approximate the shape of a parabola. This parabola can be modeled by the quadratic function y = 0.00012x2 + 6, where x represents the distance form the axis of symmetry and y represents the height of the cables. The related quadratic equation is 0.00012x2 +6 = 0. Calculate the value of the discriminant

Answers

The choices possible are:
a. -0.00056
b. -0.00288
c. -0.00126
d. -0.00078

The discriminant formula for a quadratic function is: ax^2+bx+c,b^2−4ac, where a=0.00012, b=0, and c=6

Substituting these values and solving the given discriminant formula, the value of the discriminant is therefore B. -0.00288.

The general form of a quadratic function is:

ax^2+bx+c,

and the discriminant formula is expressed as:

b^2−4ac,

where for this equation the values of the coefficients are:

a=0.00012, b=0, and c=6

Substituting these values to the discriminant formula will yield to a value of -0.00288.

Write an equation for the function that includes the points (-2,3) and (-1,9)

Answers

Answer:

f(x)=6x+15

Step-by-step explanation:

first you find the gradient of the equation with the gradient formula by using the two given points

the gradient is 6, so using the slope equation which is y=mx+b sub 6 into the gradient

you then get y=6x+b

to find b just sub in any of the points and solve the equation.

ps. f(x) essentially stands for a y so don't get confused

hope this helps :)

Answer:

y = 6x + 15.

Step-by-step explanation:

The slope of the line joining these 2 points =

(9-3)/(-1-(-2))

= 6/1

= 6

Use the point-slope form of a straight line:

y - y1 =m(x - x1) Here m = 6 and (x1, y1) will be (-2, 3), so:

y - 3 = 6(x -(-2))

y - 3 = 6(x + 2)

y = 6x + 12 + 3

y = 6x + 15.

Log x+log7=log 42 solve please

Answers

log x+ log 7= log 42
log x=log 42 - log 7
log x=log 42/7 [ log a - log b= log (a/b) ]
log x= log 6

therefore:
x=6

Answer: x=6

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

1. Write an algebraic expression for the word phrase ; the quotient of r and 12. A. r .12
B. r*12
C. r - 12
D r + 12

Answers

r ÷ 12 or r/12

Further explanation

Given the word phrase: the quotient of r and 12.

An algebraic expression for it is $\boxed{ \ r / 12 \ or \ r/12 \ or \ (r)/(12) \ }$

Notes:

The quotient is the ratio of two quantities to be divided or the number obtained by division. Synonyms for the quotient are proportion, ratio, or fractions.

An algebraic expression for the quotient of a and b is $\boxed{ \ a / b \ or \ a/b \ or \ (a)/(b) \ }$

'a' is called a dividend
'b' is called a divider
The quotient is the result derived after dividing the dividend by the divisor.

The quotient, a dividend, and a divisor represent the fundamental components of a division equation.

Another example:

A car requires 10 liters of fuel to travel 60 km. Determine the quotient of the distance of the car with fuel (in km/L).

The quotient (or ratio) is

$\boxed{ \ the \ distance / fuel \ consumption \ }$

$\boxed{ \ 60 \ km / 10 \ L \ }$

$\boxed{\boxed{ \ 6 \ km/L \ }}$

Consider the same method as follows.

$\boxed{ \ (the \ distance)/(fuel \ consumption) \ }$

$\boxed{ \ (60 \ km)/(10 \ L) \ }$

$\boxed{\boxed{ \ 6 \ (km)/(L) \ }}$

This means that the car can travel a distance of 6 km for every 1 L of fuel.

Kilometers per liter is a unit used to measure fuel economy and we see this as one example of the use of the quotient (or ratio).

Learn more

10 times as many as (blank) hundreds or 60 hundreds is (blank) thousands brainly.com/question/47704532
9 ten thousands divided by 10 in unit form brainly.com/question/4786449
100 is 1/10 of what? brainly.com/question/96535

Keywords: write an algebraic expression, for the word phrase, the quotient of r and 12, a dividend, a divisor, components of a division equation

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