Can someone help me on number 4,5

Larry buys a tent that is on sale for 25% off the original price. The original price is $80 more than the sale price. What is th

myrzilka [38]

Answer:

The original price of the tent = $320

Step-by-step explanation:

Let the original price be =$ $x$

Discount offered = $25$ % of the orignal price = $\frac{25}{100}\times x=0.25\times x =\$ 0.25x$

Original price is $80 more than sale price

Discount = Original price - Sale price = $80

So, we have

$0.25x=80$

We need to solve for $x$ to find original price

Dividing both sides by $0.25$

$\frac{0.25}{0.25}x=\frac{80}{0.25}\\x=\$320$

∴ The original price of the tent = $320

3 0

3 years ago

Segments

Ipatiy [6.2K]

There are several ways two triangles can be congruent.

$\mathbf{AC = BD}$ congruent by SAS
$\mathbf{\angle ABC \cong \angle BAD}$ congruent by corresponding theorem

In $\mathbf{\triangle AOL}$ and $\mathbf{\triangle BOK}$ (see attachment), we have the following observations

$1.\ \mathbf{AO = DO}$ --- Because O is the midpoint of line segment AD

$2.\ \mathbf{BO = CO}$ --- Because O is the midpoint of line segment BC

$3.\ \mathbf{\angle AOB =\angle COD}$ ---- Because vertical angles are congruent

$4.\ \mathbf{\angle AOC =\angle BOD}$ ---- Because vertical angles are congruent

Using the SAS (side-angle-side) postulate, we have:

$\mathbf{AC = BD}$

Using corresponding theorem,

$\mathbf{\angle ABC \cong \angle BAD}$ ---- i.e. both triangles are congruent

The above congruence equation is true because:

2 sides of both triangles are congruent
1 angle each of both triangles is equal
Corresponding angles are equal

See attachment

Read more about congruence triangles at:

brainly.com/question/20517835

3 0

3 years ago

The variable z is directly proportional to x, and inversely proportional to y. When x is 11 and y is 14, z has the value 7.85714

marta [7]

Z=kx/y

7.9=k11/14

Cross multiply

K11=7.9x14

K =7.9x14/11

K=10.1

........

Z= kx15/22

Z=10.1x15/12

Z=12.625

7 0

3 years ago

How much money should be invested in an account that earns 3% interest, compounded monthly, n=12, in order to have $14,000 in 4

melisa1 [442]

Answer:

D ko alam HAHAHAHA bahala kang bobo ka HAHAHAHAHAHAHA

Step-by-step explanation:

Tanong mo kay ser kung anong sagot potanginamo ka

5 0

3 years ago

A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test.

weqwewe [10]

9514 1404 393

Answer:

(c) Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

Step-by-step explanation:

Try the numbers in the constraints to see if they work.

Build hours:

(4 h/child bike)(10 child bikes) = 40 hours

(6 h/adult bike)(12 adult bikes) = 72 hours

total build hours: 40 +72 = 112, less than 120; constraint is met

Test hours:

(4 h/child bike)(10 child bikes) = 40 hours

(4 h/adult bike)(12 adult bikes) = 48 hours

total test hours: 40 +48 = 88, less than 100; constraint is met

__

Both constraints are met, so the order can be filled.

6 0

3 years ago