QuestionLanden spent $L$ hours at the beach. Matéo spent 15% fewer hours. Which expressions show Matéo's hours? Choose 2: A $L-\frac{1}{15} L$ B $L(1-0.15)$ C $0.15 L$ D $L-\frac{15}{100}$ E $L-\frac{3}{20} L$

Studdy Solution

STEP 1

Assumptions1. Landen spent $$ hours at the beach. . Matéo spent15% fewer hours at the beach than Landen did.

STEP 2

We need to find an expression that represents how many hours Matéo spent at the beach. Since Matéo spent15% fewer hours than Landen, we can express this as a subtraction from Landen's hours.
$Matéo's\, hours = Landen's\, hours -15\%\, of\, Landen's\, hours$

STEP 3

We can rewrite the percentage as a decimal.
$15\% =0.15$ So, the expression becomes $Matéo's\, hours = L -0.15$

STEP 4

This can be rewritten in a more compact form by factoring out Matéo's\, hours = L(1 -0.15)$$

STEP 5

We can also express15% as a fraction. $15\% = \frac{15}{100} = \frac{3}{20}$ So, the expression can also be written as $Matéo's\, hours = L - \frac{3}{20}$

STEP 6

Now, we can compare our expressions with the options given in the problem.
The expressions that represent how many hours Matéo spent at the beach areB $(1-0.15)$ $-\frac{3}{20} L$

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QuestionLanden spent $L$ hours at the beach. Matéo spent 15% fewer hours. Which expressions show Matéo's hours? Choose 2: A $L-\frac{1}{15} L$ B $L(1-0.15)$ C $0.15 L$ D $L-\frac{15}{100}$ E $L-\frac{3}{20} L$

Studdy Solution

STEP 1

Assumptions1. Landen spent $$ hours at the beach. . Matéo spent15% fewer hours at the beach than Landen did.

STEP 2

We need to find an expression that represents how many hours Matéo spent at the beach. Since Matéo spent15% fewer hours than Landen, we can express this as a subtraction from Landen's hours.
$Matéo's\, hours = Landen's\, hours -15\%\, of\, Landen's\, hours$

STEP 3

We can rewrite the percentage as a decimal.
$15\% =0.15$ So, the expression becomes $Matéo's\, hours = L -0.15$

STEP 4

This can be rewritten in a more compact form by factoring out Matéo's\, hours = L(1 -0.15)$$

STEP 5

We can also express15% as a fraction. $15\% = \frac{15}{100} = \frac{3}{20}$ So, the expression can also be written as $Matéo's\, hours = L - \frac{3}{20}$

STEP 6

Now, we can compare our expressions with the options given in the problem.
The expressions that represent how many hours Matéo spent at the beach areB $(1-0.15)$ $-\frac{3}{20} L$

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QuestionLanden spent LLL hours at the beach. Matéo spent 15% fewer hours. Which expressions show Matéo's hours? Choose 2: A L−115LL-\frac{1}{15} LL−151​L B L(1−0.15)L(1-0.15)L(1−0.15) C 0.15L0.15 L0.15L D L−15100L-\frac{15}{100}L−10015​ E L−320LL-\frac{3}{20} LL−203​L

Studdy Solution

STEP 1

Assumptions1. Landen spent $$ hours at the beach. . Matéo spent15% fewer hours at the beach than Landen did.

STEP 2

STEP 3

We can rewrite the percentage as a decimal.15%=0.1515\% =0.1515%=0.15So, the expression becomesMateˊo′s hours=L−0.15Matéo's\, hours = L -0.15Mateˊo′shours=L−0.15

STEP 4

This can be rewritten in a more compact form by factoring out Matéo's\, hours = L(1 -0.15)$$

STEP 5

We can also express15% as a fraction.15%=15100=32015\% = \frac{15}{100} = \frac{3}{20}15%=10015​=203​So, the expression can also be written asMateˊo′s hours=L−320Matéo's\, hours = L - \frac{3}{20}Mateˊo′shours=L−203​

STEP 6

Now, we can compare our expressions with the options given in the problem.The expressions that represent how many hours Matéo spent at the beach areB (1−0.15)(1-0.15)(1−0.15) −320L-\frac{3}{20} L−203​L

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QuestionLanden spent $L$ hours at the beach. Matéo spent 15% fewer hours. Which expressions show Matéo's hours? Choose 2: A $L-\frac{1}{15} L$ B $L(1-0.15)$ C $0.15 L$ D $L-\frac{15}{100}$ E $L-\frac{3}{20} L$

We can rewrite the percentage as a decimal.
$15\% =0.15$ So, the expression becomes $Matéo's\, hours = L -0.15$

We can also express15% as a fraction. $15\% = \frac{15}{100} = \frac{3}{20}$ So, the expression can also be written as $Matéo's\, hours = L - \frac{3}{20}$

Now, we can compare our expressions with the options given in the problem.
The expressions that represent how many hours Matéo spent at the beach areB $(1-0.15)$ $-\frac{3}{20} L$