Answer:
62.5%
Step-by-step explanation:
since percents are just fractions, we have 5/8 and we need to convert it into a percentage. since 100 is not divisible by 8, we can use a trick by multiplying the numerator by 100. we get 500/8 which is 62.5.
1.Is 4/5 equivalent to 32/45?
2.Is 7/8 equivalent to 28/32?
3.Is 1/10 equivalent to 30/100?
4.Is 6/8 equivalent to 24/32?
5.Is 5/8 equivalent to 30/70?
6.Is 2/3 equivalent to 24/100?
7.Is 2/10 equivalent to 30/60?
8.Is 1/5 equivalent to 20/100?
9.Is 5/6 equivalent to 20/30?
10.Is 3/4 equivalent to 45/70?
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:
Simplify the expression. (Section 3.1) 47. 5 + 3.2n - 6 - 4.8n
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
PLEASE HELP!!!!!
The lengths of the sides of triangle ABC are consecutive whole numbers. The median from angle A is perpendicular to the angle bisector of ∠B. Find the lengths of the sides of the triangle.
In triangle ABC, AB=BC, AC=10cm. From point D, which is in the middle of AB, perpendicular bisector DE is drawn to side BC and intersects it at point E. A segment is then drawn from E to A. The perimeter of triangle ABC is equal to 40 cm. Find the perimeter of △AEC.
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;
The perimeter of ∆AEC is 25 centimeters How can the perimeter of the formed ∆AEC be found?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 = 30 ÷ 2 = 15AB = BC = 15 cm.
Using the rule of cosines, we have;
10² = 15² + 15² - 2×15×15 × cos(A)cos(A) = (15² + 15² - 10²) ÷ (2×15×15)
A = arccos (350 ÷ 450) ≈ 51.06°<BED ≈ 180° - (90° + 51.06°) = 38.94°
DB = AB ÷ 2
Therefore;
DB = 15 ÷ 2 = 7.5From the rule of sines, we have;
DE/sin(51.06°) = 7.5/sin(38.94°)DE = 7.5/sin(38.94°) × sin(51.06°) ≈ 9.28
According to Pythagorean theorem, we have;
BE ≈ √(7.5² + 9.28²) ≈ 11.93Similarly, we have;
AE ≈ √(7.5² + 9.28²) ≈ 11.93EC ≈ 15 - 11.93 = 3.068
Perimeter of ∆AEC = AE + EC + AC
Which gives;
The perimeter of ∆AEC = 11.93 + 3.068 + 10 ≈ 25
The perimeter of ∆AEC = 25 cmLearn more about the rule of sines and cosines here:
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19. Ken bought 8 markers and 20 pens. Each marker cost $2.45. He gave the cashier $100 and received $26 change. What was the cost of each pen?
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
17. A chef mixed 4.85 lb of white rice with twice as many pounds of brown rice. She then cooked half the amount of the mixed rice. How many pounds of mixed rice did she cook? Give your answer correct to 2 decimal places.
---------------------------------------︵‿︵‿୨♡୧‿︵‿︵--------------------------------------
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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2. GYMNASIUM You want to estimate the number of students in your school who think the gymnasium should be remodeled. You survey 12 students on the basketball team. Determine whether the sample is biased or unbiased. Explain. (Section 10.6)
Can someone help please!!
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.
what is x + 5 < 6 ? PLEASE HELP!! WILL GIVE 15 POINTS
Answer:
x < 1
Explanation:
→ x + 5 < 6
subtract both sides by 5
→ x + 5 - 5 < 6 - 5
simplify the following
→ x < 1
Write the percent as a decimal. 11. 33%
PLEASE HELP!!!!
EXPLANATION+ANSWER PLEASE!!!
In triangle ABC, AB=BC, AC=10cm. From point D, which is in the middle of AB, perpendicular bisector DE is drawn to side BC and intersects it at point E. A segment is then drawn from E to A. The perimeter of triangle ABC is equal to 40 cm. Find the perimeter of △AEC.
Answer:
Step-by-step explanation:
1 ACTIVITY: Estimating a Part
Work with a partner. Use a model to estimate the answer to each question.
d. What number is 6% of 30?
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.
Fraction word problems really easy
1. Comet x is 4 5/12 light years away from earth. Comet y is 2 7/18 light years away from earth. How much farther is comet x?
2. Ari needs to add 3/4 cup of flour to a recipe. She only has 1/4 cup measure. How many scoops of flour does ari need to add?
3. On Monday a team of street sweepers cleaned 3 city blocks. Tuesday, the team clean 1/4 as many blocks as Monday. How many city blocks did the street sweepers clean on Tuesday?
4. Davin bought a block of fudge that weighed 1/2 of a pound. He cut the fudge into 2 equal pieces. What was the weight of each piece of the fudge?
5. 2/5 of the students in the orchestra are in the violin section. 1/5 of the students in the orchestra are in the cello section. What fraction of the students in the orchestra are in either the violin section or the cello section.
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
please help 20 points
Answer:
5/6
Step-by-step explanation:
subtract 3 from 18 to get the present people.
HELP PLEASE!!!!!! INCOMPLETE ANSWERS AND POINT STEALERS WILL BE REPORTED
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
Answer this. Show your work. Worth 10 points. Under 4 hours. URGENT.
PLEASEEEEE:
Determine whether it’s a change in increase or decrease then find the person, make sure to ROUND to nearest whole percent:
ALSO THE ANSWER IS NOT 182%
1994 cost: $171.33 and 1995 cost: $201.59
Answer: It's 18%
Step-by-step explanation:
Answer:
118% so it is 18 %
Step-by-step explanation:
Circle the correct option: A, B, C, or D.
4. Which of the following is equal to 1.5 kg?
A 150 g
B 15 g
C 1.5 g
D 1,500 g
Answer:
Option DStep-by-step explanation:
1kg =1000g1.5kg = 1000 x 1.5 = 1,500gHope this helps.Good luck ✅.
36. MULTIPLE CHOICE What is the solution of 2n - 4 > - 12? (Section 4.4) A. n < -10
B. n < -4
C. n > -2 D. n > -4
Answer:
D. n > -4
Step-by-step explanation:
2n - 4 > -12
2n > -8
n > -4
4. IN YOUR OWN WORDS How does the decimal point move when you rewrite a percent as a decimal and when you rewrite a decimal as a percent?
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.
What is the volume of the box if it is scaled down by a factor of 1/10?
V= 308 35/64
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:
I need an answer for number 8 really quick
help me, please!!!
I NEED HELP PLEASE VERY URGENT
3x+2y=255
2x+3y=285
What is x and what is y?
I WILL MARK BRAINLIEST TO FIRST WHO ANSWERS PROPERLY
Simplify.
(x + 1) x 2
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
Answers for #36,#38,#44,#48. thank you. please asap i need it for hw.
HELPPPPP: Garret drove 432 miles on 18 gallons of gas. Derrick drove 364 miles on 14 gallons of gas. Who has the better gas mileage?
Answer:
Derrick would be your answer.
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.
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).
What is the graph about?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)
Learn more about equivalent ratios from
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7.30. Julie wants to give a 45 -minute speech, and she speaks 120 words per minute. Her written notes contain 500 words per page. How many pages should she prepare?
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]
50. MULTIPLE CHOICE Ham costs $4.48 per pound. Cheese costs $6.36 per pound. You buy 1.5 pounds of ham and 0.75 pound of cheese. How much more do you pay for the ham? (Skills Review Handbook) A. $1.41 B. $1.95 C. $4.77 D. $6.18
8. MAGAZINES You want to compare the number of words per sentence in a sports magazine to the number of words per sentence in a political magazine.
a. The data represent random samples of 10 sentences in each magazine. Compare the samples using measures of center and variation. Can you use this to make a valid comparison about the magazines? Explain.
Sports magazine: 9, 21, 15, 14, 25, 26, 9, 19, 22, 30 Political magazine: 31, 22, 17, 5, 23, 15, 10, 20, 20, 17
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.
Find the mean of both the data and compare them.Find the variance of both the data and compare them.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.