Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

The Soup Shack usually makes tomato soup with 9 tomatoes for every 12 bowls of soup. Today, they used 6 tomatoes to make 8 bowls of soup. How does the tomato taste in today's soup compared to the usual recipe? Choose 1 answer: (A) Today's soup has a weaker tomato taste. (B) Today's soup has a stronger tomato taste. (c) Today's soup will taste the same.

The Soup Shack usually makes tomato soup with 99 tomatoes for every 1212 bowls of soup. Today, they used 66 tomatoes to make 88 bowls of soup.\newlineHow does the tomato taste in today's soup compared to the usual recipe?\newlineChoose 11 answer:\newline(A) Today's soup has a weaker tomato taste.\newline(B) Today's soup has a stronger tomato taste.\newline(C) Today's soup will taste the same.

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Interpret parts of quadratic expressions: word problemsright chevron icon

Full solution

Q. The Soup Shack usually makes tomato soup with 99 tomatoes for every 1212 bowls of soup. Today, they used 66 tomatoes to make 88 bowls of soup.\newlineHow does the tomato taste in today's soup compared to the usual recipe?\newlineChoose 11 answer:\newline(A) Today's soup has a weaker tomato taste.\newline(B) Today's soup has a stronger tomato taste.\newline(C) Today's soup will taste the same.
  1. Find Ratios: To compare the tomato taste in today's soup to the usual recipe, we need to find the ratio of tomatoes to bowls of soup for each scenario.
  2. Usual Recipe Ratio: For the usual recipe, the ratio is 99 tomatoes for every 1212 bowls of soup. We simplify this ratio by dividing both numbers by their greatest common divisor, which is 33. \newline99 tomatoes / 1212 bowls = (9÷3)(9 \div 3) tomatoes / (12÷3)(12 \div 3) bowls = 33 tomatoes / 44 bowls
  3. Today's Soup Ratio: For today's soup, the ratio is 66 tomatoes for every 88 bowls of soup. We simplify this ratio by dividing both numbers by their greatest common divisor, which is 22. \newline66 tomatoes / 88 bowls = (6÷2)(6 \div 2) tomatoes / (8÷2)(8 \div 2) bowls = 33 tomatoes / 44 bowls
  4. Compare Ratios: Comparing the simplified ratios, we see that both the usual recipe and today's soup have the same ratio of tomatoes to bowls of soup, which is 33 tomatoes for every 44 bowls of soup.
  5. Conclusion: Since the ratio of tomatoes to bowls of soup is the same for both the usual recipe and today's soup, the tomato taste in today's soup will taste the same as the usual recipe.

More problems from Interpret parts of quadratic expressions: word problems

Question
Solve by completing the square.\newlinem2−10m−29=0m^2 - 10m - 29 = 0\newlineWrite your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.\newline`m` = ____ or `m` = _____
Get tutor helpright-arrow

Posted 8 months ago

Question
Find g(x) g(x) , where g(x) g(x) is the translation 5 5 units up of f(x)=x2 f(x)=x^2 .\newlineWrite your answer in the form a(x–h)2+k a(x–h)^2+k , where a a , h h , and k k are integers.\newlineg(x)= g(x)= ____
Get tutor helpright-arrow

Posted 7 months ago

Question
What is the range of this quadratic function?\newliney=x2−4x+4y = x^2 - 4x + 4\newlineChoices:\newline{y∣y≥2}\left\{y \mid y \geq 2\right\}\newline{y∣y≤0}\left\{y \mid y \leq 0\right\}\newline{y∣y≥0}\left\{y \mid y \geq 0\right\}\newlineall real numbers\text{all real numbers}
Get tutor helpright-arrow

Posted 5 months ago

Question
Write the equation of the parabola that passes through the points (1,0)(1,0), (2,0)(2,0), and (3,–16)(3,\text{–}16). Write your answer in the form y=a(x–p)(x–q)y = a(x – p)(x – q), where aa, pp, and qq are integers, decimals, or simplified fractions.\newline______
Get tutor helpright-arrow

Posted 5 months ago

Question
Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.\newlinef2+8f+_____f^2 + 8f + \_\_\_\_\_
Get tutor helpright-arrow

Posted 5 months ago

Question
Solve for h h .\newlineh2+39h=0 h^2 + 39h = 0 \newline\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.\newlineh= h = ____\newline
Get tutor helpright-arrow

Posted 5 months ago

Question
Write a quadratic function with zeros −9-9 and −7-7.\newlineWrite your answer using the variable xx and in standard form with a leading coefficient of 11.\newlinef(x)=_____f(x) = \_\_\_\_\_
Get tutor helpright-arrow

Posted 5 months ago

Question
Find the equation of the axis of symmetry for the parabola y=x2y = x^2. \newlineSimplify any numbers and write them as proper fractions, improper fractions, or integers.\newline‾\underline{\hspace{3cm}}
Get tutor helpright-arrow

Posted 4 months ago

Question
Find g(x)g(x), where g(x)g(x) is the translation 88 units up of f(x)=x2f(x) = x^2.\newlineWrite your answer in the form a(x–h)2+ka(x – h)^2 + k, where aa, hh, and kk are integers.\newlineg(x)=g(x) = ______\newline
Get tutor helpright-arrow

Posted 4 months ago

Question
Solve for xx.\newlinex2=1x^2 = 1\newline\newlineWrite your answer in simplified, rationalized form.\newlinex=x = ______ or x=x = ______\newline
Get tutor helpright-arrow

Posted 5 months ago

View all (145)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant