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Answer:

x < 1

Explanation:

→ x + 5 < 6

subtract both sides by 5

→ x + 5 - 5 < 6 - 5

simplify the following

→ x < 1

Answer:

2x+2

Step-by-step explanation:

Open the bracket and multiply all terms in the bracket with the term out side the bracket

2*x +2*1

=2x+2

Hope it help

Answer:

Step-by-step explanation:

Good luck ✅.

Answer: -1-1.6n

Step-by-step explanation:

To simplify this expression, we combine the number terms, 5 and -6, to get -1. Then we combine the terms with n, to get -1.6n.

Our final answer is -1-1.6n

Answer:

Step-by-step explanation:

We are given that the perpendicular bisector of side AB of ∆ABC intersects side BC at point D.

this means that side AE=BE.

Also, we could clear; ly observe that

ΔBED≅ΔAED

( since AE=BE, side ED common, ∠BED=∠AED

so by SAS congruency, the two triangles are congruent)

Now we are given that:

the perimeter of ∆ABC is 12 cm larger than the perimeter of ∆ACD.

i.e. AB+AC+BC=AC+AD+CD+12

AB+BC=AD+CD+12

as AD=BD

this means that AD+CD=BD+CD=BC

AB+BC=BC+12

AB=12

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The perimeter of 40 cm. and lengths of two sides of ∆ABC where side AC is 10 cm gives;

Given:

AB = BC

AC = 10 cm.

The perimeter of ∆ABC = 40 cm.

Therefore;

∆ABC is an isosceles triangle

AB + BC + AC = 40

AB + AB + 10 = 40 by substitution property of equality

2 × AB = 40 - 10 = 30

AB = BC = 15 cm.

Using the rule of cosines, we have;

cos(A) = (15² + 15² - 10²) ÷ (2×15×15)

<BED ≈ 180° - (90° + 51.06°) = 38.94°

DB = AB ÷ 2

Therefore;

From the rule of sines, we have;

DE = 7.5/sin(38.94°) × sin(51.06°) ≈ 9.28

According to Pythagorean theorem, we have;

Similarly, we have;

EC ≈ 15 - 11.93 = 3.068

Perimeter of ∆AEC = AE + EC + AC

Which gives;

The perimeter of ∆AEC = 11.93 + 3.068 + 10 ≈ 25

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When comparing fractions, you can multiply or divide to find equivalent fractions.

Number 1: If I were to multiply 5 to 45, I would have to do the same to the numerator of the fraction. 45/5 = 9. So we know now that 5 times 9 equals 45. Lets do that to the numerator also. 4 times 9 equals 36 so 4/5 times nine is 32/45.

So yes, this would be equivalent.

Number 2: 7/8 times 4 equals 28/32

Yes, this would be equivalent.

Number 3: 10 times 10 is 100, 1 times ten is NOT 30.

No, this would not be equivalent.

Number 4: 8 times 4 equals 32, 6 times 4 equals 24.

Yes, this would be equivalent.

Number 5: 30/5 equals 6. 70/8 is NOT 6.

No, this would not be equivalent.

Number 6: 24/2 equals 12. 100/3 is not 12.

No, this would not be equivalent.

Number 7: 30/2 is 15. 60/10 is NOT 15.

No, this would not be equivalent.

Number 8: 20/1 equals 20. 100/5 is also 20.

Yes, this would be equivalent.

Number 9: 20/5 equals 4. 30/6 is not 4.

No, this would not be equivalent.

Number 10: 45/3 is 15, 70/4 is NOT 15.

No, this would not be equivalent.

Read more about equivalent fractions at:

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Answer:

1.Is 4/5 equivalent to 32/45? - No

2.Is 7/8 equivalent to 28/32? - Yes

3.Is 1/10 equivalent to 30/100? - No

4.Is 6/8 equivalent to 24/32? - Yes

5.Is 5/8 equivalent to 30/70? - No

6.Is 2/3 equivalent to 24/100? - No

7.Is 2/10 equivalent to 30/60? - No

8.Is 1/5 equivalent to 20/100? - Yes

9.Is 5/6 equivalent to 20/30?

10.Is 3/4 equivalent to 45/70?

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

because if you flip e to the other side of the y-axis you'll get (2,4) and do the same with the letters and that's your answer.

Answer:

B.  C'(3 , 0) , D'(7 , 1) , E'(2 , 4)

Step-by-step explanation:

reflecting the point A(x , y) across the y-axis gives us the point A'(-x , y)

Then

The image of E(-2 , 4) is E'(2 , 4)

The image of C(-3 , 0) is C'(3 , 0)

The image of D(-7 , 1) is D'(7 , 1)

Therefore

The correct answer is option B.

Answer:what graph?

Step-by-step explanation:

if we cant see the graph then we cant answer lol

Based on the image attached of the graph, the points that show equivalent ratios that would also be on the graph are option A and D which are: (6,18)  (1,3).

Note that: [tex]\frac{x}{y}[/tex]

=[tex]\frac{3}{9}[/tex]

= 1/3

So when you use 1/3 to compare all the options given, you will see that only option A and D  is equal to the value given.

So if a person can write that  we got  1 fish and we needs 3 gallons and when a person  make a point on the line, it will be (1,3).

The other equivalent fraction is known to be 6/18. When a person multiply the numerator and denominator by 2, the value that will be obtained is:

[tex]\frac{3 x 2 }{9 x 2}[/tex]   = 6/18.

So therefore, Based on the image attached of the graph, the points that show equivalent ratios that would also be on the graph are option A and D which are: (6,18)  (1,3).

See full question below

Christina wants to buy some miniature goldfish. She reads that a 9-gallon aquarium is the right size for 3 miniature goldfish. The graph represents this relationship.

Which points show equivalent ratios that would also be on the graph? Select all that apply.

A. (6,18)

B. (6,12)

C. (4,10)

D. (1,3)

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Answer:

I also don't know so I am sorry I need point

Answer:

On comparing the center i.e. mean we get that the sports magazine 19 uses more words than a political magazine 18 but they are almost the same because their difference is only 1. The variance of sports magazines 5.8 is greater than the variance of political magazines 5.2. We cannot use this to make a valid comparison about the magazines to a magazine the content matters or maybe the number of readers matters not the number of word count.

Step-by-step explanation:

Given: The number of words per sentence in a sports magazine to the number of words per sentence in a political magazine. The data represent random samples of 10 sentences in each magazine.

Sports magazine [tex]$$9,21,15,14,25,26,9,19,22,30$$[/tex].

Political magazine [tex]$$31,22,17,5,23,15,10,20,20,17$$[/tex].

To compare the samples using measures of center and variation.

Step 1 of 2

The mean of the words of sports magazine is [tex]\begin{aligned}(9+21+15+14+25+&26+9+19+22+30) \times \frac{1}{10} \\&=\frac{190}{10} \\&=19\end{aligned}[/tex]

The mean of the words of the political magazine is [tex]\begin{aligned}&(31+22+17+5+23+15+10+20+20+17) \times \frac{1}{10}\\&=\frac{180}{10}\\&=18\end{aligned}[/tex]

On comparing the center i.e. mean we get that the sports magazine uses more words than a political magazine.

Step 2 of 2

Variation of sports magazine is [tex]=\frac{1}{10}\times(|19-9|+|19-21|+|19-15|+|19-14|+|19-25|+|19-26|+|19-9|+|19-19|+|19-22|+|19-30|)$$\\ $$=\frac{1}{10}\times(10+2+4+5+6+7+10+0+3+11)$$\\$$=\frac{1}{10}\times58$$\\$$=5.8$$[/tex]Variation of the political magazine is \end{tabular}

[tex]=\frac{1}{10}\times(|18-31|+|18-22|+|18-17|+|18-5|+|18-23|+|18-15|+|18-10|+|18-20|+|18-20|+|18-17|)$$\\ $$=\frac{1}{10}\times(13+4+1+13+5+3+8+2+2+1)$$\\ $$=\frac{52}{10}$$\\ $$=5.2$$[/tex]

The variance of sports magazines is greater than the variance of political magazines.

We cannot use this to make a valid comparison about the magazines to a magazine the content matters or maybe the number of readers matters not the number of word count.

Answer:



Step-by-step explanation:

1.

4 5/12 -->  53/12

2 7/18 --> 43/18

53/12 --> 159/36

43/18 -->86/36

159       86      73

-----    -   ----  = -----

36         36       36

2.

3 scoops

3.

0.75 blocks

4.

1.4 of a pound

5.

3/5 students

Answer:

explanation will answer.

Step-by-step explanation:

To convert this fraction to a decimal, just divide the numerator (35) by the denominator (64). So, 35 / 64 = 35 ÷ 64 = 0.546875. Approximated Values: 35 / 64 = 0.5 rounded to 1 significant figure. 35 / 64 = 0.55 rounded to 2 significant figures. 35 / 64 = 0.547 rounded to 3 significant figures.

Answer:

To convert this fraction to a decimal, just divide the numerator (35) by the denominator (64). So, 35 / 64 = 35 ÷ 64 = 0.546875. Approximated Values: 35 / 64 = 0.5 rounded to 1 significant figure. 35 / 64 = 0.55 rounded to 2 significant figures. 35 / 64 = 0.547 rounded to 3 significant figures.

Step-by-step explanation:

Answer:

Each pen costs $2.72

Step-by-step explanation:

100 - 26 = $74 spent total

8 x 2.45 = $19.60 spent on markers

74 - 19.60 = $54.40 spent on pens

54.40/20 = $2.72 per pen

Answer:256

Step-by-step explanation:640/10 equal 64

so then multiply 64x4 equal 256 so 256/640

The number of students who applied for admission is 1600

Using the values given in our Calculation:

Calculating the proportion of students who gets admitted :

To obtain the number that would get admitted from 640 students, divide the total number of applications by the proportion

Now we have :

Therefore, only 1600 students applied .

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Answer:

14.55 lb

Step-by-step explanation:

Brown rice: 4.85 x 2 = 9.7 lb

Pounds of rice the chef cooked: 9.7 + 485 = 14.55

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Answer:

1.8

Step-by-step explanation:

to find any percent of a number, multiply that number by the percent x.(the percentage is x/100 since percents are just fractions with a hidden denominator of 100), and 30*(6/100) is 18/10, which is just 1.8.

Answer:

I'm not sure but I guess it was D

Step-by-step explanation:

coz they want the c value

SO PROBABLY D OR A

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Answer:

The decimal point moves two places to the left when you rewrite the percentage as a decimal. When you rewrite the decimal as a percentage you move the decimal point two places to the right.

Answer:

10.8 pages must be prepared

Step-by-step explanation:

We first have to figure out how many words Julie would be able to say in 45 minutes. Since she can say 120 words per minute, she can speak 120*45 or 5400 words total.

We also know that Julie can write 500 words per page. Since she has 5400 words total, she needs to prepare 10.8 pages total (5400 divided by 500). If you are looking for a whole number answer, Julie needs at least 11 pages to write her complete speech.

Answer:

The number of pages she should prepare is 10.8 pages.

Step-by-step explanation:

Given:

Julie wants to give a 45 -minute speech, and she speaks 120 words per minute.

Her written notes contain 500 words per page.

Find:

The number of pages she should prepare

Step 1 of 1

We will set up a conversion factor:

number of pages [tex]=(45$ minutes $) \cdot \frac{120 \text { words }}{1 \text { minutes }} \cdot \frac{1 \text { pages }}{500 \text { words }}$[/tex]

[tex]$$\begin{aligned}&=\frac{45 \cdot 120}{500} \text { pages } \\&=10.8 \text { pages. }\end{aligned}$$[/tex]

Answer:

5/6

Step-by-step explanation:

subtract 3 from 18 to get the present people.

Answer:

D. n > -4

Step-by-step explanation:

2n - 4 > -12

2n > -8

n > -4

Answer:

Derrick would be your answer.

Answer:

2nd answer

Step-by-step explanation:

Number 3 at least means that i includes 3 and above for example i want at least 3 apples that means you want 3 or more apples

Answer:

B the second one

Step-by-step explanation:

it is 3 or more and a filled hole means it includes 3 and more means going in to the positive way