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Colt1911 [192]
3 years ago
12

What the equations are

Mathematics
1 answer:
strojnjashka [21]3 years ago
6 0
So, first lets define our variables: 
 
let x = the number of dimes
let y = the number of nickels

so our first equation would be x+y = 16

Since dimes are 10 cents and nickels are 5 cents the next equation would be as follows: 

.10x+.05y = 1.35

now change the first equation so y = -x+16
now substitute:

.10x+.05(-x+16) = 1.35
then multiply so you get .10x+-.05x+0.8=1.35

combine like terms and you get .05x+0.8 = 1.35
then subtract 0.8 from both sides and you get .05x = 0.55 then subtract
and you get x = 11 then substitute 11 for where x should be and you should get y = 5

So, you have 11 dimes and 5 nickels 
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The statement tan theta -12/5, csc theta -13/5, and the terminal point determined by theta is in quadrant 2."​
Harlamova29_29 [7]

Answer:

Answer C:

Cannot be true because csc(\theta)  is greater than zero in quadrant 2.

Step-by-step explanation:

When the csc of an angle is negative, since the cosecant function is defined as:

csc(\theta)=\frac{1}{sin(\theta)}

that means that the sin of the angle must be negative, and such cannot happen in the second quadrant. The sine function is positive in the first and second quadrant.

Therefore, the correct answer is:

Cannot be true because  csc(\theta)  is greater than zero in quadrant 2.

6 0
3 years ago
In a recent survey, 78% of students at Lincoln Middle School said they plan to attend a camp this summer. Write this percent as
prohojiy [21]

Answer:

<em>0.78</em>

Step-by-step explanation:

From the question, we are to represent 78% as a decimal

78%  = 78/100

78/100 = 78 * 1/100

78/100 = 78 * 0.01

78/100 = 0.78

<em>hence the percent written as a decimal is 0.78</em>

3 0
3 years ago
Susan decided to start a bracelet business. She spent $17.75 on supplies for her
Snezhnost [94]

Answer:

Given that:

Susan spent on supplies = $17.75

Earning of june = 24 * $3.25

Earning of June = $78

1/4 of earning = 1/4 * 78

1/4 of earning = $19.5

So Susan will set $19.5 aside for supplies of next month and remaining amount she will have is : 78 - 19.5 = $58.5

i hope it will help you!

6 0
3 years ago
URGENT!! PLEASE BE ACCURATE I ONLY HAVE ONE MORE ATTEMPT!!
professor190 [17]

Answer:

scale factor 1.5 or 1 1/2

Step-by-step explanation:

15/2 is the same as 15÷2 and 15÷2=7.5

now we need to turn 5 into 7.5

to do that lets multiply by 5(1.5) or 5(1+0.5) (the 5 on the outside of the parenthesis means to multiply it by all on the inside)

and we get 5+2.5 or 7.5

so the scale factor is 1.5 or 1 1/2

4 0
2 years ago
Read 2 more answers
What expression is equivalent to 2(9+7)?
Zina [86]
2(16), 32, 2 x (9 + 7), 2 x 16
6 0
3 years ago
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