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siniylev [52]
2 years ago
15

Veronica got 3 times as many gifts as Natalie. Together Veronica and Natalie got a total of 12 gifts. How many gifts did Natalie

(x) and Veronica (y) each get?
Mathematics
1 answer:
umka21 [38]2 years ago
6 0
Natalie = x

Veronica = 3x

Altogether 4x meaning 4 parts

12 divided by 4 = 3

Natalie got 3 gifts veronica got 9


Another way to work this out is with ratio

1:3 of 12 gifts
1+3 = 4
12 divided by 4 = 3
Each part is 3 gifts

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Habib is making some scones.
sergeinik [125]

Answer:

180^\circ C

Step-by-step explanation:

To convert from degree Fahrenheit to Celsius, we use the formula:

^\circ C=\dfrac{5^\circ F-160}{9}

If Habib's recipe is to be baked at 356 degree Fahrenheit, then we substitute F=356 to obtain an equivalent value in degree Celsius.

\text{Temperature in }^\circ C=\dfrac{5^\circ F-160}{9}\\=\dfrac{5*356-160}{9}\\=\dfrac{1780-160}{9}\\=\dfrac{1620}{9}\\\text{Temperature in }^\circ C=180^\circ C

Habib should bake his scones at 180^\circ C.

6 0
1 year ago
Read 2 more answers
The vertices of a parallelogram are A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4). Which of the following must be true if paral
myrzilka [38]

Answer:

Option 3.

Step-by-step explanation:

A parallelogram is said to be a rectangle if

1. Opposite pair of lines are equal and parallel

2. Adjacent lines meet each other at 90 degrees.

Hence we have third option which satisfies both the conditions.

5 0
2 years ago
The manager of an industrial plant is planning to buy a new machine. For each day’s operation, the number of repairs X, that the
horsena [70]

Answer:  Expected value of the daily cost of operating the machine is 235.264.

Step-by-step explanation:

Since we have given that

E[x]= 0.96 repairs per day

And Var[x] = 0.96 repairs per day.

C=160+40x^2

E[c]=160+40E[x^2]\\\\E[c]=160+40(Var[x]+(E[x])^2)\\\\E[c]=160+40(0.96+0.96^2)\\\\E[c]=235.264

Hence, Expected value of the daily cost of operating the machine is 235.264.

5 0
2 years ago
Mike and Ike are experts at pitching horseshoes. 70% of Mike's tosses are ringers. 67% of Ike's tosses are ringers. Suppose Mike
ahrayia [7]
Mike tosses 70%
Ike tosses 67%
Both tosses 50%

<span>Which of the following is closest to the probability that Ike's proportion is ringers is higher than Mike's for those tosses?
</span>
P(m) = 70/100
P(i) = 67/100
P(b) = 50/100

= P(b) * P(i) 
= 50/100 * 67/100
= 0.335

The correct answer is letter D) 0.3745.
3 0
1 year ago
At a restaurant, when a customer buys four pretzels the fifth pretzel is free. soft pretzels cost $3.90 each. you ordered 12 sof
elixir [45]

Answer:

($3.90)(12) - (2)($3.90) = 39.00

39.00/12 = 3.25 per pretzel

Step-by-step explanation:

3 0
1 year ago
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