What equation is equivalent to 3(2x-5) = 7(x+2)

For his statistics project, Martin recorded the weights of some apples.

nikdorinn [45]

Answer:

50 grams

Step-by-step explanation:

You simply subtract 70 from 120, and get 50.

4 0

2 years ago

A 30 ft building casts a shadow that is 75 ft. long. A nearby tree casts a shadow that is 35 ft. long. How tall is the tree?

Whitepunk [10]

Answer:

The tree is 14 ft. tall.

Step-by-step explanation:

Height of the building/ Height of the tree = Shadow of building/ Shadow of tree

30/x = 75/35 Cross multiply

75x = (30)(35)

75x = 1050

x = 1050/75

x = 14

5 0

2 years ago

Angles α and β are angles in standard position such that: α terminates in Quadrant II and sinα = 3/5, β terminates in Quadrant I

777dan777 [17]

We are given

Angles α and β are angles in standard position

and

α terminates in Quadrant II

β terminates in Quadrant I

and we have

$sin(\alpha)=\frac{3}{5}$

we can use triangle and find cos(α)

we get

$cos(\alpha)=-\frac{4}{5}$

and we have

$cos(\beta)=\frac{4}{5}$

we can draw triangle

$sin(\beta)=\frac{3}{5}$

now, we can use formula

$cos(\alpha+\beta)=cos(\alpha)cos(\beta)-sin(\alpha)sin(\beta)$

now, we can plug values

$cos(\alpha+\beta)=-\frac{4}{5}\times \frac{4}{5}-\frac{3}{5}\times \frac{3}{5}$

now, we can simplify it

$cos(\alpha+\beta)=-\frac{16}{25}-\frac{9}{25}$

$cos(\alpha+\beta)=-\frac{(16+9)}{25}$

$cos(\alpha+\beta)=-\frac{25}{25}$

$cos(\alpha+\beta)=-1$ ...............Answer

3 0

3 years ago

The maximum weight allowed inside an elevator is 350 lb. If W is the total weight of the people inside the elevator, which of th

Igoryamba

$350 \: lb \: \geqslant \: weight$

6 0

3 years ago

Can you help me with this please

Shalnov [3]

Answer:

see below

Step-by-step explanation:

If (x+5) is a factor of p(x), then the value x=-5 will make that factor be zero. The product p(x) of which it is a part will also be zero, so p(-5) = 0.

Since p(-5) = 0 at x=-5, there will be an x-intercept at x=-5.

Dividing something by a factor of that thing will always give a remainder of zero. So, p(x)/(x+5) has a remainder of 0.

3 0

3 years ago