All categories

3 years ago

The difference of twice a number and another number is 5. The sum of the two numbers is 19. Find the numbers

Mathematics

2 answers:

Scilla [17]3 years ago

8 0

Answer:

12 & 7

Step-by-step explanation:

*)Solve the system of equations:

x+y=19

x-y =5

=> 2y=14 =>y = 7

y=7 => x = 12

joja [24]3 years ago

7 0

Answer:

12 & 7

Step-by-step explanation:

12 + 7=19

12 - 7=5

You might be interested in

16=5a+a<br> Helppp please

Nostrana [21]

A=8/3

5a+a= 6a

16/6a= 8/3

3 0

3 years ago

What is the unit rate of $2.98

Semenov [28]

Answer:

Step-by-step explanation:

The existence of a unit rate implies that you have TWO variables. Here you list only one: $.

If you pay $2.98 for 6 units of something, such as pieces of fruit, then the unit rate would be:

$2.98

----------------------- = $0.50/piece

6 pieces of fruit

7 0

3 years ago

what is the measure of the base angle,x, of the isosceles triangle shown below? round your answer to the nearest tenth of a degr

MAVERICK [17]

Answer:

x ≈ 49.7°

Step-by-step explanation:

Since, the given triangle is an isosceles triangle,

Two sides having measure 17 units are equal.

Opposite angles of these equal sides will be equal.

Measure of the third angle = 180° - (x + x)°

By sine rule,

$\frac{\text{sinx}}{17}=\frac{\text{sin}(180-2x)}{22}$

$\frac{\text{sinx}}{17}=\frac{\text{sin}(2x)}{22}$ [Since, sin(180 - θ) = sinθ]

$\frac{\text{sinx}}{17}=\frac{2(\text{sin}x)(\text{cos}x)}{22}$

$\frac{\text{sinx}}{17}=\frac{(\text{sin}x)(\text{cos}x)}{11}$

$\frac{1}{17}=\frac{(\text{cos}x)}{11}$

cos(x) = $\frac{11}{17}$

x = 49.68°

x ≈ 49.7°

4 0

3 years ago

Jayden created a monthly budget based on his net income. If he earns $3,080 each month, how much money can he allocate to eating

NISA [10]

Answer:

$180

Step-by-step explanation:

First, add up all the money already allocated in the categories.

1200+400+300+500+400+25+75=2900

Then, take 3080 subtracted by the total.

3080-2900=180

Don't forget to add the $ sign in the end

6 0

3 years ago

Read 2 more answers

What is the Nth term of <br> 4,7,12,19<br> ASAP I NEED HELP

AlekseyPX

The correct answer is n²+3.

Explanation:

We find the first differences between terms:

7-4=3; 12-7=5; 19-12=7; 28-19=9.

Since these are different, this is not linear.

We now find the second differences:

5-3=2; 7-5=2; 9-7=2.

Since these are the same, this sequence is quadratic.

We use (1/2a)n², where a is the second difference:

(1/2*2)n²=1n².

We now use the term number of each term for n:

4 is the 1st term; 1*1²=1.

7 is the 2nd term; 1*2²=4.

12 is the 3rd term; 1*3²=9.

19 is the 4th term; 1*4²=16.

28 is the 5th term: 1*5²=25.

Now we find the difference between the actual terms of the sequence and the numbers we just found:

4-1=3; 7-4=3; 12-9=3; 19-16=3; 28-25=3.

Since this is constant, the sequence is in the form (1/2a)n²+d;

in our case, 1n²+d, and since d=3, 1n²+3.

5 0

3 years ago