The sum of three consecutive integers is 12 less than 4 times the middle integer

Answer:

5x -10y= -20

5x + 3y = 6

-(5x + 3y=6)

5x-10y=-20

-5x-3y=-6

-10y  -3y = -20 -6

-13y=-26

y= -26/-13

y=2

5x-10(2)=-20

5x-20=-20

5x=-20-20

5x=-40

x= -40/5

x= -8, and y= 2

Answer:

Step-by-step explanation:

In a survey of first graders, their mean height was 51.6 inches with a standard deviation of 3.6 inches. Assuming the heights are normally distributed, what height represents the first quartile of these students?

54.03 inches

48.57 inches

48.00 inches

49.17 inches

Answer:

a=250

b=10

done...

Answer:

9

Step-by-step explanation:

i took the test

Answer:

here you go...........

Step-by-step explanation:

Here,

21-4z=14-8z

-4z+8z=14-21

4z=-7

Answer:

Step-by-step explanation:

Given

[tex]Badwater = -282ft[/tex]

[tex]Telescope\ Peak = 11043ft[/tex]

The position of badwater is negated because it is below sea level

The interpretation of the question, is to calculate the distance between the two given points.

This is calculated as:

[tex]Difference = Telescope\ Peak - Badwater[/tex]

[tex]Difference = 11043ft - (-282ft)[/tex]

Open bracket

[tex]Difference = 11043ft+282ft[/tex]

[tex]Difference = 11325ft[/tex]

Hence, the distance between both is 11325ft

Answer:

From the length (owo)

Step-by-step explanation:

All you need is to measure your fish tank's length (from side to side), height (from top to bottom of the tank), and depth (from front to back) and you can figure out how much water your aquarium holds! Tank Width: Numbers only, please. The width of an aquarium is the distance across the front.

Answer: look at the picture and you will see the answer

Step-by-step explanation: hope this help

Step-by-step explanation:

HI tkando45

To write as a polynomial, just multiply every term int he first parenth by every term in the second parentheses.

It is like distributing:

For Example

a2(a-4) - 2a(a-4) + 3(a-4)

a3 - 4a2 - 2a2 + 8a + 3a - 12

Now combine like terms:  

a3 - 6a2 + 11a -12   <----  that is your polynomial

now use the above examples and calculate ur question

Answer:

s= 1.401

Step-by-step explanation:

subtract 5.313 from 3.912 :D

The evaluation of the equation 3 .912+s=5.313 yields; s = 1.401

According to the questions;

Hence, we must subtract 3.912 from both sides of the equation as follows;

s = 1.401

Read more on one variable equation;

https://brainly.com/question/21528555

Answer:

-5=25 ------>x= -5

[tex]\frac{x}{5}[/tex]= -5 --------> x=-25

-1.2x=-6 --------> x=5

[tex]\frac{x}{0.5}[/tex] = 50 ---------> x=25

The method that would be used to solve 11\times 13 is Multiplication So it would be: 11 x 13 which would equal to 143.

In math times means: Multiplication.

Answer:

$2936.79

Explanation:

The Formula for compounding interest:

[tex]F = I(1 + \frac{r}{n})^{nt}[/tex]

F = final amount  (we need to find this)

I = initial amount (900 + 250 + 300 + 1400 = $2850)

r = interest rate  (1% = 0.01)

n = number of times interest applied per time period  (360)

t = number of time periods elapsed (36 months = 3 years)

[tex]F = 2850(1 + \frac{0.01}{360})^{360*3}[/tex]

F = 2850(1.030454105)

F = $2936.79

Answer:

He will have a total of $2936.79

Step-by-step explanation:

The total to be invested is the addition: 900+250+300+1400=2850

Now we invest this amount at the specified rate for three years (equivalent to 36 months), and use the compounded interest formula:

[tex]A=P(1+r/n)^{n*t}\\A=2850(1+0.01/360)^{3*360}\\A\approx 2936.79[/tex]

hope this hwelps! (OwO)

Answer:

0.9 Its the answer,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

Answer:

3.4

Step-by-step explanation:

Answer:

B = 43°

a = 44.7

c = 53.3

Step-by-step explanation:

✔️B = 180° - (90° + 47°) (sum of interior angles of a ∆)

B = 180 - 137

B = 43°

✔️Use trigonometric ratio formula to find a:

reference angle = 47°

Opposite = a

Adjacent = 29

Thus,

tan 47 = a/29

Multiply both sides by 29

29*tan 57 = a

44.7 = a

a = 44.7 (nearest tenth)

✔️Use trigonometric ratio formula to find a:

reference angle = 47°

Opposite = a = 44.7

Hypotenuse = c

Thus,

Sin 47 = 44.7/c

Multiply both sides by c

c*sin 57 = 44.7

Divide both sides by sin 57

c = 44.7/sin 57

c = 53.3 (nearest tenth)

Answer:

Charlotte: 7

Step-by-step explanation:

You can subtract 29 on both sides to get 7=p

Answer:

100 degrees.

Step-by-step explanation:

The missing angle on the bottom triangle is equal to 80 degrees because a triangle's interior angles add up to 180deg.

Think of that middle angle between angle 1 and the two triangles as a full 360deg. Since VAT (Vertical Angle Theorem) suggests that vertical angles are equal, 160deg of that 360deg are taken up by the missing angles in the triangles. That leaves 200deg to split between angle 1 and its equal vertical angle, which means angle 1 is 1/2 of 200, or 100deg.

Answer:

81

hope this helped :D

Answer:

he has to run another 1/3 of the race for it to equal 6 kilometer all together

Step-by-step explanation:

hope this helps

Your monthly allowance and your friend's monthly allowance is $50 and $40 respectively.

From the given tape diagram, the ratio of your monthly allowance to your friend's monthly allowance is 5:4.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Here, 5+4=9

Now, your monthly allowance = 5/9 × 90

= 50

So, your friend's monthly allowance = 90-50 = 40

Therefore, your monthly allowance and your friend's monthly allowance is $50 and $40 respectively.

To learn more about the ratio visit:

brainly.com/question/13419413.

#SPJ2

Answer:

28⁰ = 1

Step-by-step explanation:

If you raise a number to the power of zero, it becomes 1, regardless of the number.  The only exception is 0⁰, which is undefined.  Any other value to the power of zero equals one.

The easiest way to see it is like this:

Pick any value, we'll call it x

x⁴ = x⁵ / x

x³ = x⁴ / x

x² = x³ / x

x¹ = x² / x

x⁰ = x¹ / x

Because x¹ is equal to x, then x⁰ is just x/x, which is always equal to 1, unless x is equal to zero.

Answer:

280^0 is 1

Step-by-step explanation:

with exponents u have to multiply the base (280) by whatever the exponent is (0), but since the exponent is 0, use multiplicative identity to get 1. any number to ^0 is 1 because its the same as the product on no number at all (0)

its really confusing but i tried my best to explain it lol T-T

Answer:

d X v = m

12.993 X 10.49 = 136.29657

Answer: y ≤ (2/3)*x + 1/5

Step-by-step explanation:

In the graph, we can see a solid line (this means that the values of the line are part of the solution, then the symbol used will be ≤ or ≥)

Also, we can see that the shaded part (the shaded part is the solution of the inequality) is below the line. This means that y is equal to the values in the line, or smaller than the values in the line. Then we will have something like:

y ≤ a*x +b

The only option that uses this symbol is:

Y < or = to 2/3x + 1/5    (y ≤ (2/3)*x + 1/5)

Then this is the correct option.