<h3>f(x) = 119x is the function that represents the number of cupcakes Kathleen has given away over time</h3>
<em><u>Solution:</u></em>
Given that,
Kathleen makes 144 cupcakes each week
Of these she sales 25 each week and gives away the rest
<em><u>To find: Linear function that represents the number of cupcakes Kathleen has given away over time</u></em>
Let "x" be the number of weeks
Number of cakes given away = 144 - 25 = 119
<em><u>Thus, number of cupcakes Kathleen has given away over "x" weeks is given as:</u></em>
f(x) = 119x
Where, f(x) is the number of cupcakes Kathleen has given away over "x" weeks
$3.59 = £2.78. Hope this helps!
Answer:
<h2>11</h2>
Step-by-step explanation:
Given h(t) = t²+t+ 12 and k(t) = √t-1, we are to find k(k.h)(10)
k{h(t)} = k{ t²+t+ 12}
Since k(t)= √t-1, we will replace the variable t in the function with t²+t+ 12
k(h(t)) = √{(t²+t+ 12)-1}
k(h(t)) = √t²+t+12-1
k(h(t)) = √t²+t+11
Substituting t = 10 into the resulting function;
k(h(10)) = √(10)²+(10)+11
k(h(10)) = √100+10+11
k(h(10)) = √121
<em>k(h(10))= 11</em>
<em></em>
<em>hence the value of (k compose h) (10) is 11</em>
The volume of the given solid prism is: 3 × 3 × 5 = 45 units³
<h3>What is the Volume of a Solid prism?</h3>
The volume of any solid prism = base area of prism × height of the prism.
Given the following dimensions of the solid prism:
- Height of the solid prism = 5 units
- Base area = 3 × 3 = 9 units²
Volume of the solid prism = 9 × 5 = 45 units³
Learn more about volume of solid prism on:
brainly.com/question/5793407
ANSWER: 4/21 teaspoons of salt
2 1/3 flour : 1/3 salt
2 1/3 cups of flour = 7/3
To get 2 cup of flour we need 3/3 so we take away 4/3 of the flour
7/3 ÷ 4/3 = 1.75
so we ÷ both by 1.75 to get the same ratio
1/3 teaspoons ÷ 1.75 = 4/21 teaspoons of salt