Solve the system of equations.
4x - 4y = 8
y + 4x = 2.5

Answer:

96

Step-by-step explanation:

First solve (10-7)

Then use 21 and ÷ it by 3

Add 89 + 7 and then you'll get your answer

Answer:

4(2k + j) = 8k + 4j

Step-by-step explanation:

4(2k + j)

Distribute in the 4.

4 * 2k + 4 * j

Multiply 4 and 2k.

8k + 4 * j

Multiply 4 and j.

8k + 4j

Answer:

Step-by-step explanation:

Use the distributive property.

Distributive property:

⇒ A(B+C)=AB+AC

First, multiply by expand.

→ 4*2k=8k

→ 4*j=4j

Rewrite the problem down.

= 8k+4j

[tex]\Longrightarrow: \boxed{\sf{8k+4j}}[/tex]

I hope this helps! Let me know if you have any questions.

The probability that a randomly selected employee has received the 5-year gift is 39.29%

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that a randomly selected employee has received the 5-year gift = number of employees who have received the gift / total number of employees

11/28 x 100 = 39.29%

To learn more about probability, please check: https://brainly.com/question/13234031

Answer:

jack take 3.33 hours and diane would take 5 hours

Step-by-step explanation:

1.427381

the nearest hundredth thousandths place.

if the the number right to the hundred thousandths place is 5 or more round up, if not keep it as it is.

= 1.42738

therefore, 1.427381 rounded to the nearest hundred thousandths is 1.42738

The answer is 1.42738

Answer:

4.796

Step-by-step explanation:

The average rate of change (AROC) of a function f(x) on an interval [a, b] is equal to the slope of the secant line to the graph of f(x) that passes through (a, f(a)) and (b, f(b)), a.k.a. the difference quotient given by

[tex]f_{\mathrm{AROC}[a,b]} = \dfrac{f(b)-f(a)}{b-a}[/tex]

So for f(x) = x² on [1, 5], the AROC of f is

[tex]f_{\mathrm{AROC}[1,5]} = \dfrac{5^2-1^2}{5-1} = \dfrac{24}4 = \boxed{6}[/tex]

Answer:

I can't understand

Step-by-step explanation:

Answer:

C=31.4mm

Step-by-step explanation:

Circumfrence formula: π*diameter

diameter =10mm (picture)

C=10mm*3.14

C=31.4 mm

Answer:

31.42

Step-by-step explanation:

use the formula C=2πr

The Blue line is the translate in the direction of red line by,and therefore has equation y=3(x-4)+5

Answer:

x = 14,641

Step-by-step explanation:

[tex] \sqrt{x} = 121 \\squaring \: both \: sides \\ \implies \: {( \sqrt{x}) }^{2} = {(121)}^{2} \\ \\ \implies \: x = 14,641[/tex]

Answer:

Yes, the equation represents a linear relationship.

Step-by-step explanation:

If you graph it, it is a line.

Also, the exponent on the x and the y is exactly 1. There are no variables in the denominator, nor inside a radical. There are no squared, cubes or higher exponents. All these things will make an equation NOT linear.

Answer:

y = -x - 4

Step-by-step explanation:

y = mx + b

m = rise/run = -5/5 = -1

b = y-intercept = (0, -4)

Answer:

30lbs

Step-by-step explanation:

5x6 i think lol maybe

Answer:

Hence, the height of the trapezoidal base is 7.2 ft.

Step-by-step explanation:

The height of the trapezoidal base is 7.2 ft.

Step-by-step explanation:

Consider the provided information.

The volume of trapezoidal prism is the area of the cross-section × the length.

Where B is the area of base, H is the length and V is the volume.

The length of the prism is 25.2ft and volume is 1279.152

Hence, the base area is 50.76 ft².

The base is trapezoid.

The area of trapezoid is

Substitute B=50.76,  in above formula.

Hence, the height of the trapezoidal base is 7.2 ft.

Answer:

differentiation

Step-by-step explanation:

maths class

Answer:

5/12

Step-by-step explanation:

The odds for the die are 5 positive out of 6 possible outcomes

-- 2,3,4,5,6 are the positive outcomes - the ones you want - but there are a total of 6 outcomes or ways the die could land

The odds for the coin are 1 positive outcome out of 2 possible outcomes (heads or tails)

Once you have 5/6 for the die and 1/2 for the coin, you multiply them together.

Answer:

The answer is B, [3,10].

Step-by-step explanation:

Answer:

17963.13

Step-by-step explanation:

Answer:

1. Reflection across y=0

2. Shifted 6 units right

Answer:

Step-by-step explanation:

A translation of 6,-6  followed by a rotation of 180 degrees

=========================================================

Explanation:

In this case,

Divide A/B to find the experimental probability of landing inside the figure

A/B = (5,710)/(10,000) = 0.571

There's about a 57.1% chance of landing inside the figure.

The entire region is 15 units by 40 units, giving an overall area of 15*40 = 600 square units.

Roughly 57.1% of this total area would be taken up by the irregular figure

57.1% of 600 = 0.571*600 = 342.6 which rounds to 343

The area of the irregular region is about 343 square units

Answer + Step-by-step explanation:

let x be the time that Eric spends running

    y be the time that Eric spends walking

a) the statement “Eric runs and walks for a total of 12 minutes to reach his goal” is equivalent to the equation: x + y = 12

b) the coordinates of the intersection point are (5.333...  ,  6.666...)

Interpretation:

the time that Eric spends running is 5.333... minutes  

the time that Eric spends walking  is 6.666... minutes

Answer:

Given equation:

[tex]200x+80y=1600[/tex]

where:

If Eric runs and walks for a total of 12 minutes, then:

[tex]x+y=12[/tex]

To graph:

[tex]200x+80y=1600 \implies y=20-\dfrac{5}{2}x[/tex]

[tex]\textsf{x-intercept}: \quad 20-\dfrac{5}{2}x=0 \implies x=8 \implies (8,0)[/tex]

[tex]\textsf{y-intercept}: \quad 20-\dfrac{5}{2}(0)=20 \implies (0,20)[/tex]

[tex]x+y=12 \implies y=12-x[/tex]

[tex]\textsf{x-intercept}: \quad 12-x=0 \implies x=12 \implies (12,0)[/tex]

[tex]\textsf{y-intercept}: \quad 12-0=12 \implies (0,12)[/tex]

Point of intersection (equate equations):

[tex]\begin{aligned}20-\dfrac{5}{2}x &=12-x\\20-12 &=\dfrac{5}{2}x-x\\8&=\dfrac{3}{2}x\\16 &=3x\\x &=\dfrac{16}{3}\end{aligned}[/tex]

[tex]y=12-\dfrac{16}{3}=\dfrac{20}{3}[/tex]

[tex]\implies \left(\dfrac{16}{3},\dfrac{20}{3}\right)[/tex]

The point of intersection tells us that Eric runs for 16/3 mins and walks for 20/3 minutes.

Answer:

x = 15 , y = 15√(2)

Step-by-step explanation:

The triangle is isosceles where two angles are the same which mean two sides are also the same.

x = 15°

Pythagorean Theorem: a^2 + b^2 = c^2

15^2 + x^2 = y^2

15^2 + 15^2 = y^2

225 + 225 = y^2

450 = y^2

y = √(450) = 15√(2)

Answer:

x=15 and y=15root2

Step-by-step explanation:

tan45=p/b

1=x/15

x=15

again for right angle trangle

h=root (p+b)

=15root2 ans

Answer:

768 Square Inches

Step-by-step explanation:

10x18 = 180 (2 rectanlge faces)

12x8 = 96 (2 triangles)

12x18 = 216 (bottom face)

216 + 96(2) + 180(2) =

768