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3 years ago

Harold, Clara, and Mark each chose a different lunch from three categories:

Mathematics

1 answer:

Yanka [14]3 years ago

8 0

Answer:

a) Harold

b) Clara

Step-by-step explanation:

Each person has chose a different lunch. Based on this context, it means no one can have the same lunch item.

A explanation)

Mark must eat soup since he doesn't eat bread (sandwich) or salads.
Clara must eat salad since Mark is eating the soup and Clara doesn't eat sandwiches.
Therefore, Harold must eat the only different lunch item; sandwich. Since Harold had the sandwich, he also has the milk.

B explanation)

The person who had soup had iced tea; meaning Mark drank Iced Tea.
The person who had the sandwich also had the milk; Harold drank milk.
The only person missing a drink is Clara, so she ordered mineral water.

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ms. Omar runs the school tennis club. She has a bin of tennis balls and rackets. For every 5 tennis balls in the bin, there are

anygoal [31]

Answer:

see the explanation

Step-by-step explanation:

Let

x ----> number of tennis balls

y ----> number of tennis rackets

we know that

To find out the ratio of tennis balls to tennis rackets, divide the number of tennis ball by the number of tennis rackets

In this problem we have

$\frac{x}{y}=\frac{5}{3}$

see the model in the attached figure N 1

$y=\frac{3}{5}x$

$y=0.60x$

This is the equation of a linear direct variation

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3 years ago

Micheal has 5x as much money minus 25 as mia. togther they have 79.

klemol [59]

Answer:

Step-by-step explanation:

5 10 / 15 20 15.......

4 0

3 years ago

Jason with 120 and is going 10 pounds each month Gerardo weighs 150 pounds and is having 4 pounds each month . Write an equation

pshichka [43]

Answer:

5 months

Step-by-step explanation:

Jason's original weight = 120 pounds

Let the no. of months be m

If he gains 10 pounds in each moth , then his weight in m months will be = 10m

His total weight will be= 120+10m -----(1)

Gerardo's original weight = 150 pounds

If he gains 4 pounds in each month , then his weight in m months will me =4m

His total weight will be = 150+4m-----(2)

Equating (1) ans(2)

120+10m=150+4m

=>10m-4m=150-120

=>6m=30

=>m= $\frac{30}{6}$

=>m=5

It will take 5 months for Jason to weigh the same as Gerardo

5 0

3 years ago

Find the length of the diagonal of a square with perimeter of 24

julsineya [31]

Answer:

d = 6sqrt(2) or 8.4853

Step-by-step explanation:

Formula

P = 4*s

s^2 + s^2 = d^2 where d is the diagonal and s is the side.

Givens

P = 24

Solution

P = 4s Substitute for s

24 = 4*s Divide by 4

24/4 = s

s = 6

================

d^2 = s^2 + s^2

d^2 = 6^2 + 6^2

d^2 = 36 + 26

d^2 = 72

d = sqrt(72)

Factors of 72

72: 6 * 6 * 2

Rule: Every pair of = factors allows you to take one of them outside the sqrt sign and throw the other a way. If there are no pairs, whatever you started with stays under the root sign.

sqrt(6*6*2) = 6sqrt(2)

The diagonal length is either
d = 6*sqrt(2) or
d = 8.4853

8 0

4 years ago

Expand And Simplify The Following:

Georgia [21]

For all the questions, we will be using the FOIL pattern.
1. $(x+3)(x-3)(3x+2)$
$(x^2-3x+3x-9)(3x+2)$
$(x^2-9)(3x+2)$
$3x^3+2x^2-27x-18$
2. $(2x+1)(x-2)(x+3)$
$(2x^2-4x+x-2)(x+3)$
$(2x^2-3x-2)(x+3)$
$2x^3+3x^2-11x-6$
3. $(x-3)(2x+1)(3x-2)$
$(2x^2+x-6x-3)(3x-2)$
$(2x^2-5x-3)(3x-2)$
$6x^3-19x^2+x+6$
Hope this helped!

8 0

3 years ago

Read 2 more answers