The length of the base of an isosceles triangle is x. The length of a leg is 3x
- 7. The perimeter of the triangle is 63. Find x. *
20
22
11
12

Answer:

78

Step-by-step explanation:

x+(x+2)+(x+4)=228

x+x+2+x+4=228

3x+6=228

Subtract 6 from both sides

3x=228-6

3x=222

Divide both sides by 3

x=74.The first number is 74

The second number (x+2)=74+2=76

The third number (x+4)=74+4=78

Answer:

Step-by-step explanation:

3(12 - 8) + 5

3(4) + 5

12 + 5

17

Answer:

Concept: Mathematical Analysis

Answer

Q1. -8+3

solution:

= -8+3

= -5 .Ans

Rule : if the sign are different subtract and and keep the sign of larger value.

Q2. 7-(-14)

solution :

= 7-(-14)

= 7 + 14

= 21 .Ans

Rule: if the signs are same add and keep the sign same

Q3. 8× (-2)

solution:

= 8×-2

= -16. Ans

(solve bracket first)

Q4. (-39) ÷ (9)

solution:

= -39 ÷ 9

= -4 .Ans

Q5. 24 ÷ 8 × (7+3) ÷ 5

solution:

= 24 ÷ 8 × (10) ÷ 5

= 24÷ 8 × 10 ÷ 5

= 3 × 2

= 6

(Note : According to BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. )

Q6. 8 (2x+9) - 2

solution:

= 8 (2x+9) -2

= 16x + 72 - 2

= 16x + 70 .Ans

Q7. 36y - 8y + 15 - 13

solution:

= 36y- 8y + 15 - 13

= 30y + 2 .Ans

Q8. 3÷ 4

solution :

= 3÷ 4

= 0.75 .Ans

Q9. 8/0

soution: It is undefined or you cannot evaluate it. Explanation: You cannot evaluate 8 /0 because there is no real number.

Q10. 18 /1

solution:

= 18/1

= 18 ÷ 1

= 18. Ans

Explanation :This rule tells us simply that if we have a number divided by 1, our answer will equal that number regardless of what that number is. We don't even have to pay that much attention to the number we are dividing. We just have to make sure that when dividing any number by 1, we remember the answer is always itself.

Q11. 1 ÷ 9-3

solution:

= 1 ÷ 9-3

= 0.1111 - 3

= −2.8888 .Ans

(Note : According to BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. )

Answer:

The ratio of boys to girls is 2:3.

Step-by-step explanation:

6:9 = 2:3

Answer:

Step-by-step explanation:

use Pythagorean theorem:

a² + b² = c²

where a = h

           b = 8/2  = 4

           c = 5

plugin values into the formula:

h² + 4² = 5²

h² = 5² - 4²

x = √9

x = 3

Happy Holidays! :)

He swapped the Subtraction Property of Equality and the Multiplication Property of Equality.

The proper steps in order would be as shown:

3 + x / 2 = 10       Given equation

x / 2 = 7               Subtraction Property of Equality (-3 from both sides)

x = 14                    Multiplication Property of Equality (x2 on both sides)

Answer:

Step-by-step explanation:

this is the answer

Answer:

i think ac=10.4

Step-by-step explanation:

Answer:

7/96

Step-by-step explanation:

to find the answer you need to multiply both numerators together and put that over the product of the denominators, this is going to leave you with a fraction smaller than the original fractions. that is normal, because you are multiplying terms smaller than one together. same applies to decimals less than one

Answer: The answer is y= -3 sin(2x) which is C

Step-by-step explanation:

Because I got it right

Answer:

-4y+24

Step-by-step explanation:

You multiply -8 by each figure in the parenthesis.

So, -8(0.5y) and -8(-3)  which is -4y+24 .

Answer:

3(x)+2

Step-by-step explanation:

2(5)+6 = 16

3(5)+2 = 17

4(5)-5 = 15

5(5)-10 = 15

Answer:

Please check the explanation.

Step-by-step explanation:

Given the vector

v = 6i + 2√3j

The Magnitude of a vector:

[tex]\mathrm{Computing\:the\:Euclidean\:Length\:of\:a\:vector}:\quad \left|\left(x_1\:,\:\:\ldots \:,\:\:x_n\right)\right|=\sqrt{\sum _{i=1}^n\left|x_i\right|^2}[/tex]

[tex]=\sqrt{6^2+\left(2\sqrt{3}\right)^2}[/tex]

[tex]=\sqrt{36+12}[/tex]

[tex]=\sqrt{48}[/tex]

[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}[/tex]

[tex]=\sqrt{3}\sqrt{2^4}[/tex]

[tex]=4\sqrt{3}[/tex]

The Direction of a vector:

tan Ф = y/x

y=2√3

x = 6

tan Ф = y/x

          = 2√3 / 6

           = √3 / 3                  

[tex]\theta \:=tan\:^{-1}\left(\frac{\sqrt{3}}{3}\right)[/tex]

[tex]\:\theta \:=\frac{\pi \:}{6}=30^{\circ \:}[/tex]

Answer:

(60-40)+80

Step-by-step explanation:

Answer:

6%

Step-by-step explanation:

Interest = Principal * rate * time

      156 = 520(r)(5)

      156 = 2600r

           r = 0.06 or 6%

Answer:

6 percent

Step-by-step explanation:

Interest =1 Part

156 = 520(annual rate )(5)

156 = 2600(annual interest rate )

annual rate=156/2600  

annual interest  rate  = 0.06

annual interest rate=0.06*100

annual interest rate =6%

Answer:

(If they give you a decimal place to round to use that) :)

9: 0.1026272578 mL/g

10: 1.8666666667 mL/g

Step-by-step explanation:

Density is M / V like a kinda heart you know? So mass divided by volume, the sink or float part you give context  for although that is the density

Answer: la 3ra contando desde la isquierda

Step-by-step explanation:

Answer:

The probability that an individual has the disease and has a positive test result is:

9.8%.

Step-by-step explanation:

Probability of a true positive result for a test of syphilis = 0.98 or 98%

Probability of a false negative result for a test of syphilis = 0.02 or 2% (100 - 98)

Probability of a true negative result for a test of syphilis = 0.9 or 90%

Probability of a false negative result for a test of syphilis = 0.1 or 10% (100 - 90)

Therefore, the probability that an individual has the disease and has a positive test result = 0.98 * 0.1 = 0.098 = 9.8%

Answer:

d=1.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

-11d+6=13d+22

-11d - 13d = 22 - 6

-24d = 16

Answer:

[tex]y +500 = -\frac{1}{5}(x - 100)[/tex]

Step-by-step explanation:

Given

The attached graph

Required

Determine the equation in point slope form

From the graph, we have the following points;

[tex](x_1,y_1) = (-400,-400)[/tex]

[tex](x_2,y_2) = (100,-500)[/tex]

First, we calculate the slope (m):

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{-500 - (-400)}{100- (-400)}[/tex]

[tex]m = \frac{-500 +400}{100+400}[/tex]

[tex]m = \frac{-100}{500}[/tex]

[tex]m = -\frac{1}{5}[/tex]

The equation is then calculated using:

[tex]y - y_2 = m(x - x_2)[/tex]

Substitute x and y values

[tex]y - (-500) = -\frac{1}{5}(x - (100))[/tex]

[tex]y +500 = -\frac{1}{5}(x - 100)[/tex]

Answer:

3, 2, 0

Step-by-step explanation:

There are three modes, all numbers have at least two appearances.

Please give thanks by clicking the heart! I solved your other problem too :)

Step-by-step explanation:

it is the formula to calculate the time

in the formula

t = I / pr

t stands for time.

I stands for interest.

p stands for principal.

r stands for rate.

Hope it helps. :)

Answer:

C)

Step-by-step explanation:

The other ones do have symmetry but it's not in the same direction

(not entirely sure but the way they are shown this makes the most sense)

Hope this helped! :)