3. Find BC 6. find m< A

Of the words, which is five-sixths of the list. How many words are on the list?

BlackZzzverrR [31]

I THINK it is 23 i hope it helps

3 0

3 years ago

A woman invests a total of $20,000 in two accounts, one paying 2.5% and the other paying 8% simple interest per year. Her annual

djverab [1.8K]

Let's have a variable for each rate
x = account 1 (2.5% rate of interest)
y = account 2 (8% rate of interest)

The formulas we need are:
0.025x + 0.08y = 830 (amount of interest paid)
x + y = 20 000 (combined amount invested)

To solve we will use substitution (isolate for one variable and plugging into the other formula):
x + y = 20 000
x = 20 000-y

0.025x + 0.08y = 830
0.025(20 000-y) + 0.08y = 830
500-0.025y+0.08y=830
500+0.055y=830
0.055y=330
y=6000

Now that we know y (the 2nd account) = $6000 we need to find x. We do this by using the previous formula.
x = 20 000-y
x=20 000 - 6000
x=14000

She invested $14 000 at a 2.5% interest rate and $6 000 at a 8% interest rate.

*Notes:
the percentages were converted into decimal form
you check your answer by plugging the numbers back into the 2 formulas we made

3 0

4 years ago

WORK OUT ANGLE BXC. GIVE A REASON FOR EACH ANGLE YOUR WORK OUT

zvonat [6]

Answer:

a) Angle XBC = 55° because it is a corresponding angle to 55°

b) angle BXC = 70°

Step-by-step explanation:

ΔXBC is an isosceles triangle because XB = XC

∠XCB = ∠XBC because ΔXBC is an isosceles triangle

∠BXC = 180° - 55° - 55° = 70° because the sum of all the interior angles of a triangle - 180°

6 0

3 years ago

Read 2 more answers

Two skateboarders, Ron and Bob, are traveling in opposite directions.Ton travels at 8 feet per second and bob travels at 10 feet

omeli [17]

Time taken before they are 2640 feet is 146.67 seconds

Solution:

The distance is given by formula:

$distance = speed \times time$

Ton travels at 8 feet per second

Let us assume, time taken = t

speed = 8 feet per second

Then, distance is given as:

Distance covered by Ton = 8t

Bob travels at 10 feet per second

Then, distance is given as:

Distance covered by Bob = 10t

How long will it take before they are 2640 feet

Which means,

Distance covered by Ton + Distance covered by Bob = 2640

$8t + 10t = 2640\\\\18t = 2640\\\\Divide\ both\ sides\ of\ equation\ by\ 18\\\\t = 146.67$

Thus time taken before they are 2640 feet is 146.67 seconds

<h3>Method 2:</h3>

Since trains are moving in opposite directions, their speeds must be added

speed = 8 + 10 = 18 feet per second

Given distance = 2640 feet

Therefore, time taken is:

$time = \frac{distance}{speed}\\\\time = \frac{2640}{18} = 146.67 \text{ second }$

Thus time taken before they are 2640 feet is 146.67 seconds

4 0

4 years ago

Please help ASAP!!! I will mark the Brainliest!!

Svetlanka [38]

To answer this question, you need to know that a scale factor is the relationship between one dimension of the shape.

Because the information given to us is a two-dimensional measurement, you will need to consider that when getting the answer.

The ratios of the areas of the triangles is 3/5 x 3/5 or 9/25.

To determine the area of the larger triangle, you will solve the following equation using the information you know. x is the area of the larger triangle.

9/25x = 576; solve for x by dividing both sides by 9/25
x = 1600 square inches

The area of the larger triangle is 1600 square inches.

6 0

3 years ago