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2 years ago

anthony uses 8 fluid ounces of lemon juice in one batch of lemonade. How many batches can he mane with 1 pint of lemon juice

Mathematics

1 answer:

ch4aika [34]2 years ago

8 0

Answer:

Therefore, he can make 2 batches of lemonade with 1pint of lemon juice

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If 3t-7=5t, then 6t =

Natalija [7]

The answer is: " -21 " .
__________________________________________
We are asked to solve for: "6t" ; which is: "6 * t" .
__________________________________________
Given: 3t − 7 = 5t ; Solve for "t" ; then solve for "6t" ;

     3t − 7 = 5t ;   Subtract "3t" from each side of the equation;
____________________________________________
    3t − 7 − 3t = 5t − 3t ;

to get: -7 = 2t ;

Divide EACH side of the equation by "2" ; to isolate "t" on one side of the equation; and to solve for "t" ;

-7/2 = 2t / 2 ;

-3.5 = t ; ↔ t = - 3.5 ;
____________________________________________
Now, solve for "6t" ;

6 t = 6*(-3.5) = - 21 .   The answer is: " -21 " .
____________________________________________

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3 years ago

The formula for the area of a circle is A = πr^2. Which equation shows the formula in terms of r?

Julli [10]

$A=\pi r^2\\\\\pi r^2=A\ \ \ |\text{divide both sides by}\ \pi\\\\r^2=\dfrac{A}{\pi}\ \ \ \ |\text{square root both sides}\\\\r=\sqrt{\dfrac{A}{\pi}}$

6 0

3 years ago

What is y=2(x+1)^2 in standard form

Setler79 [48]

Y=4x+4
I think this is it u just have to simplify to get it to y=mx+b

5 0

3 years ago

Read 2 more answers

compute the projection of → a onto → b and the vector component of → a orthogonal to → b . give exact answers.

Nina [5.8K]

$\text { Saclar projection } \frac{1}{\sqrt{3}} \text { and Vector projection } \frac{1}{3}(\hat{i}+\hat{j}+\hat{k})$

We have been given two vectors $\vec{a}$ and $\vec{b}$ , we are to find out the scalar and vector projection of $\vec{b}$ onto $\vec{a}$

we have $\vec{a}=\hat{i}+\hat{j}+\hat{k}$ and $\vec{b}=\hat{i}-\hat{j}+\hat{k}$

The scalar projection of $\vec{b}$ onto $\vec{a}$ means the magnitude of the resolved component of $\vec{b}$ the direction of $\vec{a}$ and is given by

The scalar projection of $\vec{b}$ onto

$\vec{a}=\frac{\vec{b} \cdot \vec{a}}{|\vec{a}|}$

$\begin{aligned}&=\frac{(\hat{i}+\hat{j}+\hat{k}) \cdot(\hat{i}-\hat{j}+\hat{k})}{\sqrt{1^2+1^1+1^2}} \\&=\frac{1^2-1^2+1^2}{\sqrt{3}}=\frac{1}{\sqrt{3}}\end{aligned}$

The Vector projection of $\vec{b}$ onto $\vec{a}$ means the resolved component of $\vec{b}$ in the direction of $\vec{a}$ and is given by

The vector projection of $\vec{b}$ onto

$\vec{a}=\frac{\vec{b} \cdot \vec{a}}{|\vec{a}|^2} \cdot(\hat{i}+\hat{j}+\hat{k})$

$\begin{aligned}&=\frac{(\hat{i}+\hat{j}+\hat{k}) \cdot(\hat{i}-\hat{j}+\hat{k})}{\left(\sqrt{1^2+1^1+1^2}\right)^2} \cdot(\hat{i}+\hat{j}+\hat{k}) \\&=\frac{1^2-1^2+1^2}{3} \cdot(\hat{i}+\hat{j}+\hat{k})=\frac{1}{3}(\hat{i}+\hat{j}+\hat{k})\end{aligned}$

To learn more about scalar and vector projection visit:brainly.com/question/21925479

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3 0

1 year ago

Please help solve all of these-

lana [24]

Answer:

3−y

2. 8

4.2bh

Step-by-step explanation:

5(2x+y)=15

2 Divide both sides by 55.

2x+y=\frac{15}{5}2x+y=

3 Simplify \frac{15}{5}

to 33.

2x+y=32x+y=3

4 Subtract yy from both sides.

2x=3-y2x=3−y

5 Divide both sides by 22.

x=\frac{3-y}{2}x=

1. 3−y

2. 8

2.Add 2y2y to both sides.

x=-8+2yx=−8+2y

2 Regroup terms.

x=2y-8x=2y−8

7 0

2 years ago