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Bingel [31]
3 years ago
6

You are having a pizza making party you will need 6 onces of dough and 4 onces of sauce for each person including youself the ho

st once you have a total count of guest you buy exactly the needed amount of all ingredients the dough and sauce that you buy and weigh 130 onuces all together
Mathematics
1 answer:
Novay_Z [31]3 years ago
6 0

Answer:

the ounces of dough did you buy is 78

Step-by-step explanation:

The number of dough ounces that should be buy is given below:

Given that

There is a requirement of 6 dough ounces and 4 sauce ounces

So for each person it would be

= 4 + 6

= 10

Now the total ounces bought is 130

So, the number of people used

= 130 ÷ 10 ounces

= 13 people

Now let us assume the number of dough ounces be x

Now if there is 6 dough ounces and there are 13 people

So, the total dough ounces purchased is  

x = 6 × 13

= 78

Hence, the ounces of dough did you buy is 78

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See the pic below please! AND SHOW WORK!
irinina [24]

Well I don't know !
Let's check out the choices:

A).    3a - 4b = 21,  a=0, b=7

         3(0) - 4(7) = 21

             0  -  28  = 21    Nope.  That's not true.


B).  3a - 4b = 21,  a=-3,  b=2

     3(-3) - 4(-2) = 21

       -9    +  8  = 21

             -1    = 21      Nope.  That's not right.


C).  3a - 4b = 21,    a=-2,  b=-3

      3(-2) - 4(-3) = 21

         -6  + 12  = 21

                 6  =  21          Nope.  That's not it.

Only one choice left.
This one had better be it:

D).  3a - 4b = 21,    a=7,  b=0

       3(7) - 4(0) = 21

         21 -  0    = 21

               21  =  21            Yay !   That's it !
 
7 0
3 years ago
Read 2 more answers
Find the magnitude and direction of the vector. Round the length to the nearest tenth and the degree to the nearest unit. Diagra
astra-53 [7]
Refer to the diagram shown below.

The vector has a magnitude of a and a direction of θ degrees south of west. 

Use the Pythagorean Theorem to calculate a.
a² = (-530)² + (-200)² = 320900
a = √(320900) = 566.48 mi ≈ 566.5 mi

By definition,
tan θ = (-200)/(-530) = 0.3774
θ = tan⁻¹ 0.3774 = 20.68° ≈ 21°

Answer: about 566.5 mi; 21° south of west.

7 0
4 years ago
Isabel Briggs Myers was a pioneer in the study of personality types. The personality types are broadly defined according to four
jekas [21]

Answer:

a. Probability (0) = 36/375 = 0.096

Probability (1) = 61/375 = 0.162

Probability (2) = 124/375 = 0.330

Probability (3) = 128/375 = 0.341

Probability (4) = 30/375  = 0.08  

b.  iii) Yes, because they cover the entire sample space.    

c. Obviously, the sample space in this problem is iv.

iv = {0,1,2,3,4}  personality preferences in common.    

Step-by-step explanation:

In this question, we are asked to calculated the probability of preferences in common.

As we know, the general formula for probability is:

Probability = Number of favorable outcome/ Total number of favorable outcomes

Data Given:

For 0 = 36

For 1 = 61

For 2 = 124

For 3 = 128

For 4 = 128

Total = 375 Married Couples

Probability (0) = Number of favorable outcomes/ Total Number of Favorable outcomes

Probability (0) = 36/375 = 0.096

Similarly,

Probability (1) = 61/375 = 0.162

Similarly,

Probability (2) = 124/375 = 0.330

Similarly,

Probability (3) = 128/375 = 0.341

Similarly,

Probability (4) = 30/375  = 0.08

b. Total Probability can never be greater than 1 and less than 0.

So,  Probabilities of the sample  will add up to 1

iii) Yes, because they cover the entire sample space.

Total Probability = P(0) + P(1) + P(2) + P(3) + P(4) = 1

Total Probability = 0.09 + 0.16 + 0.33 + 0.34 + 0.08 = 1

c. Obviously, the sample space in this problem is iv.

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3 0
3 years ago
A survey of 80 sophomores at a certain western college showed that
DIA [1.3K]
<span>1. take English and niether of the other two? 
</span>36-6 that we know take all 3
This leave 30.
Subtract the 6 from those taking history and English.  Leaves 10.
Subtract the 10 from those taking English. 
This leaves 20.
Subtract the 6 from those taking political science and English.  Leaves 8.
Subtract 8 from those taking English.
Leaves 12
<span>
2. take none of the three courses? </span>
<span>
3. take history, but niether of the other two 
</span>Do the same with history as we did with English.
32-6 = 26 -10=16-10=6
<span>
4. take political science and history but not english 
</span>16-6 (that take all 3) = 10

Hope at least the partial answer helps!
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3 years ago
Find a cubic polynomial that goes through points (4, – 22) and (3, - 26) and has tangents with slopes
Salsk061 [2.6K]

Let <em>f(x)</em> = <em>ax</em> ³ + <em>bx</em> ² + <em>cx</em> + <em>d</em>.

The graph of <em>f(x)</em> passes through (4, -22) and (3, -26), which means <em>f</em> (4) = -22 and <em>f</em> (3) = -26, so that

64<em>a</em> + 16<em>b</em> + 4<em>c</em> + <em>d</em> = -22

27<em>a</em> + 9<em>b</em> + 3<em>c</em> + <em>d</em> = -26

When the question says it has tangents at some point, I take that to mean the slope of the tangent line at that point is the given number. So <em>f '</em> (4) = 11 and <em>f '</em> (3) = -2. We have

<em>f '(x)</em> = 3<em>ax</em> ²+ 2<em>bx</em> + <em>c</em>

so that

48<em>a </em>+ 8<em>b </em>+ <em>c</em> = 11

27<em>a </em>+ 6<em>b</em> + <em>c</em> = -2

Solve the system:

• Eliminate <em>d</em> :

(64<em>a</em> + 16<em>b</em> + 4<em>c</em> + <em>d</em>) - (27<em>a</em> + 9<em>b</em> + 3<em>c</em> + <em>d</em>) = -22 - (-26)

→   37<em>a</em> + 7<em>b</em> + <em>c</em> = 4

• Eliminate <em>c</em> :

(48<em>a </em>+ 8<em>b </em>+ <em>c</em>) - (27<em>a </em>+ 6<em>b</em> + <em>c</em>) = 11 - (-2)

→   21<em>a</em> + 2<em>b</em> = 13

(48<em>a </em>+ 8<em>b </em>+ <em>c</em>) - (37<em>a</em> + 7<em>b</em> + <em>c</em>) = 11 - 4

→   11<em>a</em> + <em>b</em> = 7

• Eliminate <em>b</em>, then solve for <em>a</em> and the other variables:

(21<em>a</em> + 2<em>b</em>) - 2 (11<em>a</em> + <em>b</em>) = 13 - 2 (7)

-<em>a</em> = -1

<em>a</em> = 1   →   <em>b</em> = -4   →   <em>c</em> = -5   →   <em>d</em> = -2

Then

<em>f(x)</em> = <em>x</em> ³ - 4<em>x</em> ² - 5<em>x</em> - 2

7 0
4 years ago
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