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gregori
13 days ago
15

the area of a Blackboard is 1 1/3 square yards posters area is 8/9 square yards find the unit rate and explain in words with uni

t rate means in the context of this problem is in more than one unit that can be calculated how do you know
Mathematics
2 answers:
PIT_PIT [9.1K]13 days ago
8 0
Unit rate of the blackboard's area compared to the poster's area =  \frac{8}{33}

Unit rate of the poster's area compared to the blackboard's area = \frac{33}{8} 

A detailed explanation:

Rates are useful for assessing or contrasting two distinct quantities.

The unit rate enables us to relate how quantity 1's units correspond to quantity 2's units.

We have the following information:

Area of Blackboard = \frac{11}{3}

Area of Poster = \frac{8}{9}

Unit rate of the blackboard's area versus the poster's area: This indicates how one unit area of the blackboard correlates to the area of the poster.

= \frac{\text{Area of Poster}}{\text{Area of Blackboard}} = \frac{\frac{8}{9} }{\frac{11}{3} }

= \frac{8}{33}

Therefore, one unit area of the blackboard corresponds to \frac{8}{33}\text{ area of poster}

Unit rate of the poster's area in relation to the blackboard's area: This represents how one unit area of the poster relates to the blackboard's area.

= \frac{\text{Area of Blackboard}}{\text{Area of Poster}} = \frac{\frac{11}{3} }{\frac{8}{9} }

= \frac{33}{8}

Consequently, one unit area of the poster corresponds to \frac{33}{8}\text{ area of blackboard}

Svet_ta [9.4K]13 days ago
3 0
The result is 143 square feet.
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What is a34 of the sequence 9,6,3,
PIT_PIT [9117]

Step-by-step explanation:

What is a34 of the sequence 9,6,3,..

r=a2-a1

r=6-9

r=-3

a34=a1+33.r

a34=9+33.(-3)

a34= 9-99

a34= -90

hope this helps!

bye!

8 0
3 days ago
Read 2 more answers
The graph of f(x) = x2 is translated to form g(x) = (x – 5)2 + 1. On a coordinate plane, a parabola, labeled f of x, opens up. I
AnnZ [9099]

Answer:

The correct option is:

On the coordinate plane, there is a parabola that opens upwards, passing through the points (2, 10), having its vertex at (5, 1), and intersecting (8, 10).

Step-by-step explanation:

Initially, we must understand the translation rules

1) {f(x) + a} signifies f(x) moved up by (a) units

2) {f(x) – a} means f(x) moved down by (a) units

3) {f(x + a)} represents f(x) moved left by (a) units.

4) {f(x – a)} indicates f(x) moved right by (a) units.

Given information:

f(x) = x²

g(x) = (x-5)² + 1

By comparing the transformation from f(x) to g(x) with the translation rules

It can be concluded that g(x) represents f(x) through a translation of 5 units to the right and 1 unit upwards (rules 1 and 4)

Refer to the attached image, which illustrates the graphs of both f(x) and g(x)

As depicted, g(x) intersects (2, 10), has a vertex at (5, 1), and crosses through (8, 10)

3 0
12 days ago
Read 2 more answers
60 more than nine times a number is the same as two less than 10 times the number what is the number
PIT_PIT [9117]

Let's tackle your equation step-by-step.

9x+60=10x−2

Step 1: Subtract 10x from each side.

9x+60−10x=10x−2−10x

−x+60=−2

Step 2: Subtract 60 from each side.

−x+60−60=−2−60

−x=−62

Step 3: Divide both sides by -1.

−x /−1 = −62 /−1

x=62

I hope this was helpful! Please consider giving me Brainliest!!

4 0
23 days ago
The bar graph shows the numbers of reserved campsites at a campground for one week. What percent of the reservations were for Fr
Svet_ta [9496]

Answer:

66\frac{2}{3} \%

Step-by-step explanation:

Refer to the attached bar graph.

The bar graph illustrates the count of reserved campsites at a campground across a week.

Consequently, the total number of reserved campsites on Friday and Saturday will amount to (26 + 30) = 56.

Now, calculating the total reservations from Monday to Sunday gives us (5 + 3 + 4 + 7 + 26 + 30 + 9) = 84.

Therefore, the percentage of bookings for Friday and Saturday will be

\frac{56}{84} \times 100\% = \frac{200}{3}\% = 66\frac{2}{3}\%. (Answer)

8 0
20 days ago
Diego’s history teacher writes a test for the class with 26 questions. The test is worth 123 points and has two types of questio
AnnZ [9099]

Answer:

There are 9 essay questions.

Step-by-step explanation:

Let x represent the number of multiple-choice questions and y represent the number of essay questions.

Given that the total question count is 26, we can derive the equation, x+y=26

Additionally, the multiple-choice and essay questions carry values of 3 points and 8 points, respectively.

The overall points available in the test equal 123.

Thus, we set up the following equations:

x+y=26...........................(1)

3x+8y=123............................(2)

If we multiply equation (1) by 3 and subtract equation (2), we obtain:

5y = 45, leading to y = 9

Consequently, from x+y=26, we find x = 26 - y, resulting in x = 17.

Hence, the counts of multiple-choice and essay questions are 17 and 9, respectively.

5 0
21 day ago
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