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2 months ago

You can buy jars of the same jam in two sizes.

Mathematics

1 answer:

AnnZ [12.3K]2 months ago

8 0

Response:

Big Jar

Step-by-step clarification:

Big jar- 440g for £1.54

Cost per gram for the big jar = £1.54 ÷ 440g = £0.0035 per gram

Small jar- 340g for £1.26

Cost per gram for the small jar = £1.26 ÷ 340g = £0.0037 per gram

Since the price per gram for the big jar is less, it provides better value for your money.

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Triangle KLM was dilated according to the rule DO,0.75 (x,y). What is true about the image △K'L'M'? Check all that apply. DO, 0.

Zina [12379]

The accurate statements are 0.75 (x,y) = (0.75x, 0.75y), LM is parallel to L'M', and "the vertices of the image are nearer to the origin relative to the pre-image".

Explanation:

It is stated that the triangle ABC underwent dilation as per the rule DO,0.75 (x,y)

DO, 0.75(x,y) signifies the dilation rule, where both x and y values are scaled by 0.75, indicating that the dilation, centered around the origin, has a scale factor of 0.75. The representation for this dilation would be,

$(x,y)\rightarrow (0.75x,0.75y)$

Consequently, the first statement holds true.

Since both x and y coordinates are scaled down by 0.75, the sides of the image are parallel, but shorter, with a scale of 0.75 compared to the pre-image’s sides.

Thus, the second statement "LM is parallel to L'M'" is also accurate, while the third and fifth statements are incorrect.

The scale factor of 0.75, being less than 1, suggests that the vertices of the image are closer to the origin compared to those of the pre-image.

Hence, the fourth statement "The vertices of the image are nearer to the origin compared to the pre-image" is indeed correct.

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2 months ago

Read 2 more answers

Sarah buys a new bike. The total cost of the bike including taxes is $349. She pays $100 down and then agrees to pay the balance

AnnZ [12381]

Each of the six payments amounts to $41.50

Step-by-step breakdown:

Given,

Total cost of the bike including taxes = $349

Initial payment = $100

Remaining balance = Total cost of bike - Initial payment

Remaining balance = 349 - 100

Remaining balance = $249

She opts to pay in six equal installments, so we divide the total remaining by 6.

Monthly payment = $\frac{Amount\ left\ to\ pay}{No.\ of\ months}$

Monthly payment = $\frac{249}{6} = \$41.50$

Each of the six payments amounts to $41.50

Keywords: division, subtraction

Learn more about subtraction at:

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2 months ago

The sharks are fed three times a day. During the morning feeding , 2/15 tons of fish is fed. During the afternoon feeding, the w

zzz [12365]

Answer:

1/6 ton of fish is provided during the night feeding.

Step-by-step explanation:

The fish consumed in the morning is $\dfrac{2}{15}$ tons, and the amount of fish served in the afternoon is $\dfrac{1}{15}$ greater than in the morning. This means

$\dfrac{2}{15} +\dfrac{1}{15}$

Let’s represent the quantity of fish given at night as $x$ , and if the total fish fed throughout the day equals $\dfrac{1}{2}$ , we have

$\dfrac{2}{15}+(\dfrac{2}{15} +\dfrac{1}{15})+x=\dfrac{1}{2}$

By summing the numerators on the left side, we derive:

$\dfrac{5}{15} +x=\dfrac{1}{2}$

and subtracting $\dfrac{5}{15}$ from both sides allows us to isolate $x:$

$x=\dfrac{1}{2} -\dfrac{5}{15}$

Since $\dfrac{5}{15} =\dfrac{1}{3}$ , we derive

$x=\dfrac{1}{2}-\dfrac{1}{3}$

The common denominator for the fractions is 6; hence, we write the equation in the form

$x=\dfrac{3}{6}-\dfrac{2}{6}$

and simplifying the numerators results in:

$\boxed{x=\dfrac{1}{6} }$

which indicates the amount of tons fed during the night feeding.

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2 months ago

The fish population of Lake Collins is decreasing at a rate of 3% per year. In 2004 there were about 1,300 fish. Write an expone

Inessa [12570]

In this scenario, we have a function of the following form: A: initial amount, b: rate of decrease, x: time in years. Plugging in the values results in an exponential decay function suitable for this situation: y = 1300 * (0.97) ^ x. The estimated fish population in 2010 is then calculated to be approximately 1083.

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2 months ago

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In a spelling bee, scholarships are awarded to the top three spellers. The first-place speller receives $5,000. The second-place

lawyer [12517]

Answer:

Step-by-step explanation:

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2 months ago