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tatyana61 [14]
3 years ago
14

Jina's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Jina $4.35 per pound, and type B

coffee costs $5.80 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $510.40. How many pounds of type A coffee were used?
Number of pounds of type A coffee:
Mathematics
1 answer:
m_a_m_a [10]3 years ago
8 0

9514 1404 393

Answer:

  32 pounds

Step-by-step explanation:

Let 'a' represent the number of pounds of Type A coffee used. Then the number of pounds of Type B coffee in the mix is 2a, and the total cost of the mix is ...

  4.35a +5.80(2a) = 510.40

  15.95a = 510.40 . . . . collect terms

  a = 32 . . . . . . . . . . . divide by 15.95

Number of pounds of type A coffee: 32.

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I need help on this plz
balandron [24]

Answer:

(2) angle1 = 139, angle2 = 41, angle4 = 41, angle5 = 139, angle6 = 41, angle7 = 139, angle8 = 41

(3) angle1 = 150, angle2 = 30, angle4 = 30, angle5 = 150, angle6 = 30, angle7 = 150, angle8 = 30

Step-by-step explanation:

All angle are either equal to each other or supplementary.  I use corresponding angles and vertical angles to prove each of the above.

For number 3, angle 3 and angle 8 are supplementary, so they add up to 180:

8x +70 + (4x - 10) = 180

12x + 60 = 180

12x = 120

x = 10

So if x = 10, then 8x + 70 = 8(10) + 70 = 150

That means all angles are either 150 or 30 for number 3.

3 0
3 years ago
What is n in 3/5n + 15 =10+2/5n
Phantasy [73]
Simplify both sides of the equation.

<span><span><span><span>3/5</span>n </span>+ 15 </span>= <span><span><span>2/5</span>n </span>+ 10


</span></span>Subtract 2/5n from both sides.

<span><span><span><span><span>3/5</span>n </span>+ 15 - </span><span><span>2/5</span>n </span></span>= <span><span><span><span>2/5</span>n </span>+ 10 - </span><span><span>2/5</span>n</span></span></span><span><span><span><span>15</span>n </span>+ 15 </span>= 10


</span>Subtract 15 from both sides.

<span><span><span><span><span>1/5</span>n </span>+ 15 - </span>15 </span>= <span>10 - 15</span></span><span><span><span>1/5</span>n </span>= -<span>5


</span></span>Multiply both sides by 5.

<span><span>5 </span></span>× (1/5n) = (5) × (−5)<span>n = -<span><span>25


Answer: n is -25.</span></span></span>
8 0
3 years ago
Read 2 more answers
Do two lines that are not parallel intersect
ad-work [718]

Answer:

<em>YESSS</em><em>!</em><em>!</em><em>!</em><em> </em>

HOPE IT HELPED

5 0
3 years ago
Read 2 more answers
If sinA =3/5 and A+B =90 find cosB
-Dominant- [34]

A+B=90^o\to B=90^o-A\\\\\cos B=\cos(90^o-A)=\cos90^o\cos A+\sin90^o\sin A\\\\=\cos A+1\cdot\dfrac{3}{5}=0+\dfrac{3}{5}=\dfrac{3}{5}\\\\\boxed{\cos B=\dfrac{3}{5}}

Used:\\\\\cos(x+y)=\cos x\cos y+\sin x\sin y\\\\\cos90^o=0,\ sin90^o=1

Other method:

Look at the picture.

\sin\theta=\dfrac{opposite}{hypotenuse}\\\\\sin A=\dfrac{3}{5}\to opposite=3\ and\ hypotenuse=5

\cos\theta=\dfrac{adjacent}{hypotenuse}\\\\adjacent=3\ and\ hypotenuse=5\to\cos B=\dfrac{3}{5}

8 0
3 years ago
Consider the following equations x=4/t and y = 4-t^2 a. Solve the equation for y (eliminate the parameter.)​
Nookie1986 [14]

Answer:

y=-16^a/x^2 + 4

Step-by-step explanation:

3 0
3 years ago
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