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taurus [48]
3 years ago
14

In a recipe, the ratio of fluid ounces of water to fluid ounces of tomato paste is 3:4. You plan to make 35 fluid ounces of sauc

e. How many fluid ounces of tomato paste do you need?
Mathematics
1 answer:
WITCHER [35]3 years ago
4 0
3:4......added = 7

3/7(35) = 105/7 = 15 oz water
4/7(35) = 140/7 = 20 oz tomato paste <==
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Please help and provide work for help!!
Stella [2.4K]

Answer:

Step-by-step explanation:

1)

Tri. prism:

B = base = 1/2 a c

base = 1/2 * 6 * 6 = 18

volume = Bh

v = 18*4

v = 72

Rec. prism

volume = 4*6*6

v = 144

total volume = 144+72

vt = 212

2)

top rec.  = 2*3*5=30

bot rec. = 4*5*6=120

vt = 30 + 120

vt = 150

7 0
3 years ago
What is the nth term rule of the linear sequence below?<br><br> -5 -2 1 4 7
MAXImum [283]
3n+8 is the answer !!!!
8 0
3 years ago
Given cosα = −3/5, 180 &lt; α &lt; 270, and sinβ = 12/13, 90 &lt; β &lt; 180
torisob [31]

I got

-  \frac{6 3}{65}

What we know

cos a=-3/5.

sin b=12/13

Angle A interval are between 180 and 270 or third quadrant

Angle B quadrant is between 90 and 180 or second quadrant.

What we need to find

Cos(b)

Cos(a)

What we are going to apply

Sum and Difference Formulas

Basics Sine and Cosines Identies.

1. Let write out the cos(a-b) formula.

\cos(a - b)  =  \cos(a)  \cos(b)  +  \sin(a)  \sin(b)

2. Use the interval it gave us.

According to the given, Angle B must between in second quadrant.

Since sin is opposite/hypotenuse and we are given a sin b=12/13. We. are going to set up an equation using the pythagorean theorem.

.

{12}^{2}  +  {y}^{2}  =  {13}^{2}

144 +  {y}^{2}  = 169

25 =  {y}^{2}

y = 5

so our adjacent side is 5.

Cosine is adjacent/hypotenuse so our cos b=5/13.

Using the interval it gave us, Angle a must be in the third quadrant. Since cos is adjacent/hypotenuse and we are given cos a=-3/5. We are going to set up an equation using pythagorean theorem,

.

( - 3) {}^{2}  +  {x}^{2}  =  {5}^{2}

9 +  {x}^{2}  = 25

{x}^{2}  = 16

x = 4

so our opposite side is 4. sin =Opposite/Hypotenuse so our sin a =4/5.Sin is negative in the third quadrant so

sin a =-4/5.

Now use cosine difference formula

-  \frac{3}{5}  \times  \frac{5}{13}  +   - \frac {4}{5}  \times  \frac{12}{13}

- \frac{15}{65} + (  - \frac{48}{65}  )

-  \frac{63}{65}

Hope this helps

6 0
3 years ago
A test has two parts, A and B, each containing 10 questions. A student needs to choose 8 questions from part A and 4 questions f
Tpy6a [65]

Part A number of combinations of 8 from 10 = 10C8 = 10C2

= 10*9 / 2 = 45

Part B Number combinations = 10C4 = (10*9*8*7)/ (4*3*2) = 210

Total number of ways = 45 * 210 = 9450 (answer)

3 0
3 years ago
The graph of y = x^3 is transformed as shown in the graph below. Which equation represents the transformed function?
riadik2000 [5.3K]

Answer:

b

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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