All categories

3 years ago

What is 5a+2.4(a+0.5b)−0.2b

Mathematics

1 answer:

Tom [10]3 years ago

3 0

Answer: 7.4a+b

1. distribute

=5a+(2.4)(a)+(2.4)(0.5b)+−0.2b

=5a+2.4a+1.2b+−0.2b

2. combine like terms

=5a+2.4a+1.2b+−0.2b

=(5a+2.4a)+(1.2b+−0.2b)

=7.4a+b

You might be interested in

What are the values of each variable

Ksenya-84 [330]

Answer:

Step-by-step explanation:

3 0

3 years ago

Identify the Domain of each graph or table.

satela [25.4K]

Answer:

4 < x < 14

Step-by-step explanation:

................

3 0

3 years ago

Todd's team starts a football game. On the first play, they gain 6 yards. On the second play, they lose 12 yards. The expression

Natasha2012 [34]

-6 yards

Step-by-step explanation:

6-12 = -6 yards

they lost a total of 6 yards

3 0

3 years ago

Area of a triangle with points at (-9,5), (6,10), and (2,-10)

Ann [662]

First we are going to draw the triangle using the given coordinates.
Next, we are going to use the distance formula to find the sides of our triangle.
Distance formula: $d= \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Distance from point A to point B:
$d_{AB}= \sqrt{[6-(-9)]^2+(10-5)^2}$
$d_{AB}= \sqrt{(6+9)^2+(10-5)^2}$
$d_{AB}= \sqrt{(15)^2+(5)^2}$
$d_{AB}= \sqrt{225+25}$
$d_{AB}= \sqrt{250}$
$d_{AB}=15.81$

Distance from point A to point C:
$d_{AC}= \sqrt{[2-(-9)]^2+(-10-5)^2}$
$d_{AC}= \sqrt{(2+9)^2+(-10-5)^2}$
$d_{AC}= \sqrt{11^2+(-15)^2}$
$d_{AC}= \sqrt{121+225}$
$d_{AC}= \sqrt{346}$
$d_{AC}= 18.60$

Distance from point B from point C
$d_{BC}= \sqrt{(2-6)^2+(-10-10)^2}$
$d_{BC}= \sqrt{(-4)^2+(-20)^2}$
$d_{BC}= \sqrt{16+400}$
$d_{BC}= \sqrt{416}$
$d_{BC}=20.40$

Now, we are going to find the semi-perimeter of our triangle using the semi-perimeter formula:
$s= \frac{AB+AC+BC}{2}$
$s= \frac{15.81+18.60+20.40}{2}$
$s= \frac{54.81}{2}$
$s=27.41$

Finally, to find the area of our triangle, we are going to use Heron's formula:
$A= \sqrt{s(s-AB)(s-AC)(s-BC)}$
$A=\sqrt{27.41(27.41-15.81)(27.41-18.60)(27.41-20.40)}$
$A= \sqrt{27.41(11.6)(8.81)(7.01)}$
$A=140.13$

We can conclude that the perimeter of our triangle is 140.13 square units.

3 0

3 years ago

The large rectangle shown consists of five congruent small rectangles. The longer dimension of the large rectangle is 15 mm. Wha

joja [24]

Could you include a picture?

6 0

3 years ago