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Snowcat [4.5K]
3 years ago
14

The frame around a picture with an area of 192 square inches, measures x inches across. The length of the picture with its frame

is 40 inches and the width of the picture with its frame is 24. What are the dimensions of the picture?
Mathematics
1 answer:
prisoha [69]3 years ago
8 0
Okay so
area of picture= 192cm
area of frame= 40×24=960

960÷ 192= 5

Therefore the picture is 1/5 of the frame.
Length of picture = 1/5 × 40 = 8cm
Width of picture = 192/8 = 24

The dimensions of the picture are then 8cm × 24 cm.
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Carol has 1 5/8 cups of yogurt to make smoothies. Each smoothie uses 1/3 cup of yogurt. What is the maximum number of smoothies
nikdorinn [45]

Answer: The answer is 4.

Step-by-step explanation: Given that -

The number of cups of yogurt that Carol has to make smoothies is given by

c_y=1\dfrac{5}{8}=\dfrac{13}{8},

and the number of cups of yogurt that each smoothies uses is given by

c_s=\dfrac{1}{3}.

Let 'n' be the number of smoothies that Carol can make with the available yogurt, then we have

n\times c_s\leq c_y\\\\\\\Rightarrow n\times \dfrac{1}{3}\leq \dfrac{13}{8}\\\\\\\Rightarrow n\leq\dfrac{39}{8}\\\\\\\Rightarrow n\leq 4\dfrac{7}{8}\\\\\\\Rightarrow n=4.

Thus, the maximum number of smoothies is 4.

5 0
4 years ago
Express in terms of logarithm without exponents
sdas [7]
\bf log_{{  a}}(xy)\implies log_{{  a}}(x)+log_{{  a}}(y)
\\ \quad \\
% Logarithm of rationals
\\ \quad \\
% Logarithm of exponentials
log_{{  a}}\left( x^{{  b}} \right)\implies {{  b}}\cdot  log_{{  a}}(x)\\\\
-----------------------------\\\\
log_b(xy^2z^{-6}\implies log_b(x)+log_b(y^2)+log_b(z^{-6})
\\\\\\log_b(x)+2log_b(y)-6log_b(z)

now, the one below that, which is equivalent to that? well, just look above it
6 0
3 years ago
What is the distance between (4,2) and (-1,-3)
Sati [7]
<h2>Solving for the Distance between two Points</h2><h3>Answer:</h3>

5 \sqrt{2} or 7.071

<h3>Step-by-step explanation:</h3>

<em>Please refer to my answer from this Question to know more about distances between two points: <u>brainly.com/question/24629826</u></em>

Given:

(4,2)

(-1,-3)

Solving for the Distance:

\sqrt{(4-(-1))^2 +(2 -(-3))^2} \\ \sqrt{(4 +1)^2 +(2 +3)^2} \\ \sqrt{5^2 +5^2} \\ \sqrt{25 +25} \\ \sqrt{50} \\ \sqrt{25 \cdot 2} \\ 5 \sqrt{2}

<u>Note:</u>

5 \sqrt{2} \approx 7.071

4 0
3 years ago
Add the product of 5 and 6 with the product of 3 and 7
xz_007 [3.2K]

It is 51.                                           

5x6=30

3x7=21

30+21=51

Hope that I was of help.

5 0
3 years ago
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Find x. Round your answer to the nearest hundredth
Vladimir79 [104]

Answer:

5.86

Step-by-step explanation:

3 0
3 years ago
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