Evaluate the expression for the given variable value. x + 4/5;x=4/5

Solve -20 - 5 > 3.<br> Which graph shows the solutions?

Trava [24]

Answer:

Third option is correct

Step-by-step explanation:

Given: $-2a-5>3$

To choose: the correct option

Solution:

$-2a-5>3$

$-2a>3+5\\-2a>8$

Multiply both sides by - 1

$2a$

For $a$ , it includes all numbers less than $-4$

The graph is as follows:

7 0

2 years ago

A rectangular room is four times as long as it is wide, and its perimeter is 70 meters. Find the width of the room.

Oxana [17]

Sorry im wrong but the answer should be 280

4 0

2 years ago

Read 2 more answers

Advertisements for the Sylph Physical Fitness Center claim that completion of their course will result in a loss of weight (meas

MrMuchimi

Answer:

90% confidence interval for the mean weight loss for the population represented by this sample assuming that the differences are coming from a normally distributed population is [1.989 ,13.5105]

Step-by-step explanation:

The data given is

Mean Std Dev

Before 177.25 29.325

After 169.50 22.431

Difference 7.75 8.598

Hence d`= 7.75 and sd= 8.598

The 90% confidence interval for the difference in means for the paired observation is given by

d` ± t∝/2(n-1) *sd/√n

Here t∝/2(n-1)=1.895 where n-1= 8-1= 7 d.f

and ∝/2= 0.1/2=0.05

Putting the values

d` ± t∝/2(n-1) *sd/√n

7.75 ±1.895 * 8.598 /√8

7.75 ± 5.7605

1.989 ,13.5105

90% confidence interval for the mean weight loss for the population represented by this sample assuming that the differences are coming from a normally distributed population is [1.989 ,13.5105]

3 0

2 years ago

bridget went fishing with her dad. Bridget caught the first fish of the day and it weighed f ounces. that day she caught four mo

marishachu [46]

Assuming all the fishes caught by Bridget and her dad have the same total weight, then the first fish Bridget caught would weigh <u>5 ounces</u> while the first fish caught by her dad weighed <u>17 ounces</u>.

<h3>What is weight?</h3>

Weight can be defined as the force acting on an object or a physical body due to the effect of gravity. Also, the weight of a physical object (body) is typically measured in Newton or ounces.

<h3>How to calculate the weight of the first fish?</h3>

First of all, we would determine the weight of all of the fishes caught by both Bridget and her father (dad) while translating the word problem into an algebraic equation as follows:

For Bridget, we have:

Bridget's fish = f + 2f + 3f + 2 + ½f + ⅗f

Bridget's fish = 7 f/10 + 2 ......equation 1.

For her dad, we have:

Dad's fish = 3f + 2 + ⅘f + 2f + 4 + ½f

Dad's fish = 6 3f/10 + 6 ......equation 2.

Equating eqn. 1 and eqn. 2, we have:

7 f/10 + 2 = 6 3f/10 + 6

7 f/10 - 6 3f/10 = 6 - 2

8f/10 = 4

8f = 40

f = 40/8

Bridget, f = 5 fishes.

Since her dad's fish weighed 2 more than 3 times, we have:

Dad = 3f + 2

Dad = 3(5) + 2

Dad = 15 +2

Dad = 17 ounces.

In conclusion, the first fish Bridget caught would weigh <u>5 ounces</u> while the first fish caught by her dad weighed <u>17 ounces</u> assuming all the fishes caught by Bridget and her dad have the same total weight.

Read more on word problems here: brainly.com/question/13170908

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Complete Question:

Bridget went fishing with her dad. Bridget caught the first fish of the day, and it weighed f ounces. That day, she caught four more fish. One was 2 times the weight of the first fish, another was 2 more than 3 times the weight of the first fish, the next was 1/2 the weight of the first fish, and the last was 3/5 the weight of the first fish. Bridget’s dad caught four fish. The first fish he caught weighed 2 more than 3 times the weight of the first fish caught that day. One fish weighed 4/5 the weight of the first fish caught that day, one weighed 4 more than 2 times the weight of the first fish caught that day, and the last weighed 1/2 the weight of the first fish caught that day.

If all the fish Bridget caught have the same total weight as all the fish her dad caught, then the first fish Bridget caught weighed___ ounces and the first fish her dad caught___ weighed ounces.

4 0

1 year ago

Geometry Will give Brainlist

Kitty [74]

<h2> <u>Direct answer</u> :</h2><h2> $\color{plum}\boxed{\bold{\tt Statements :} }$ </h2>

segment AE and BD bisect each other.
∠BCA and ∠DCE are equal.
Segment AC and segment CE are equal.
Segment BC and segment CD are equal.
△ACB≅△ECD

<h2> $\color{plum}\boxed{\tt Reasons : }$ </h2>

Given.
They are vertically opposite angles, so they are equal.
The bisector BD divides segment AE into two equal parts which are Segment AC and segment CE.
The bisector AE divides the segment BD into two equal parts which are segment BC and segment CD.
△ACB≅△ECD under the SAS congruence criterion because two sides and one included angle is equal.

<h3>Steps to derive these statements and reasons :</h3>

Given :

segment AE and segment BD bisect each other

Which means :

∠BCA and ∠DCE are equal because they are vertically opposite angles.
Segment AC = segment CE because the bisector BD divides the segment AE into two equal parts which are segment AC and segment CE.
segment BC and segment CD will be equal because bisector AE divides the segment BD into two equal parts which are segment BC and segment CD.

Since two sides and one included angle is equal △ACB≅△ECD under the SAS congruence criterion .

5 0

2 years ago