Answer:
(x2 , y2) = (22,50)
Step-by-step explanation:
Given:
m1 : m2 = 1:4
(x1 , y1) = (7 , 5)
(X ,Y) = (10 ,14)
Find:
(x2 , y2)
Computation:
X = (m1x2 + m2x1) / (m1+m2)
10 = [(1)(x2) + (4)(7)]/(1+4)
10 = [x2 + 28]/5
22 = x2
Y = (m1y2 + m2y1) / (m1+m2)
14 = [(1)(y2) + (4)(5)]/(1+4)
14 = [y2 + 20]/5
70 = y2 + 20
50 = y2
(x2 , y2) = (22,50)
4a^2b^2,12ab^2,-8a^2b
if the perimeter of a rectangle is 28 inches and the length of the is 6 inches what is the width of of the rectangle
Answer:
8
Step-by-step explanation:
6*2 = 12
28 - 12 = 16
16/2 = 8
The square of a number plus the number is 12. Find the number(s).
Answer:
n= -4, 3
Step-by-step explain
n^2 + n = 12
n^2 + n - 12 = 0
n^2 + 4n - 3n - 12 = 0
n(n+4) -3(n+4) = 0
(n-3) (n+4) = 0
n-3 = 0 = n=3
n+4 = 0 = n=-4
help plzz ill give extra help
Answer:
D. 360 cubic cm
Step-by-step explanation:
Answer:
D. 360 cubic cm
Step-by-step explanation:
Use l*w*h
12*6*5
= 360
HELP!!! 25 POINTE AND BRAINLIEST!! a local cafe sells 7,200 cold beverages in the month of july. over the next six months, the number of cold beverages decreases at an average rate of 750 cups per month. During the same time frame, the number of hot beverages sold is represented by the equation y=900x + 3,300 where the number of hot beverages, y, is a function of x, the number of months after july.
A. what is the rate of change of cold beverages sold per month? hot beverages?
B. which rate of change is greater? what does it mean?
Answer: a. The rate of change of cold beverages: -750 cups/month
The rate of change of hot beverages: 900 cups/month
b. The rate of change of hot beverages is greater (900 > -750). It means that the number of hot beverages sold increases at a rate of 900 cups every month.
Step-by-step explanation:
a. The question says that "the number of cold beverages decreases at an average rate of 750 cups per month". This indicates that the rate of change of cold beverages is -750 cups/month. Why negative? Remember that it decreases, not increases.
Then let's look at the equation given for the sale of hot beverages:
y=900x + 3,300
The slope of the equation is 900, which is also the rate of change. So the rate of change of hot beverages is 900
which number is equal to 15 a)0.015 b)1.5 c)150/100 d)3/20
Answer:
c
Step-by-step explanation:
Answer: 150/100
Step-by-step explanation:
Choose the correct answer
1. ______is the ratio of 300 to 100.
a) 3 : 1 b) 1 : 3 c) 300 : 1 d) 100 : 3
2. If the weight of 20 books is 80Kg, then the weight of 1 book is..
a) 4 Kg b) 20 Kg c) 40 Kg d) 8 Kg
3. An equivalent ratio of 3 : 2 is
a) 3 : 4 b) 6 : 4 c) 9 : 4 d) 3 : 6
4. The middle terms of 3:15 = 21:105 are.
a) 3 and 15 b) 21 and 105 c) 3 and 21 d) 15 and 21
5. Which of the following is not proportional?
a) 8 : 4 :: 8 : 16 b) 4 : 8 :: 8 : 16 c) 16 : 8 :: 8 : 4 d) 8 : 16 :: 4 : 8
6. If two ratios are equal, then they are in ____________
7. The ratio of 20 boys to 15 girls is _____________
8. Express the following ratios in the simplest form.
a) 14 to 42 b) 56 to 80
9. Check whether the following are in proportion or not.
a) 4, 6, 8, 12. b) 15, 45, 5, 25.
10. If the cost of 6 cans of Juice is ₹ 210, then what will be the cost of 4 Juice?
11. Taniya earns ₹ 150,000 and saves ₹ 50,000. Find the ratio of
a) Her earning to her expenditure b) Her earning to her savings
12. Find the ratio of 15 cm to 2 meters.
Answer:
1) A, 2) A, 3) B, 4) D, 5) A, 6) proportion, 7) 4 : 3, 8) a) The simplest ratio of 14 : 42 is 1 : 3, b) The simplest ratio of 56 : 80 is 7 : 10, 9) a) The series 4, 6, 8, 12 is in proportion, since each element after the first one is equal to the sum of the previous element and 2 units, b) The series 15, 45, 5, 25 is not in proportion, since it is an alternating series, 10) 4 cans of juice cost 140, 11) a) 3 : 2, b) 3 : 1, 12) The ratio of 15 centimeters to 2 meters is 3 : 40.
Step-by-step explanation:
1) The ratio is determined by following operation:
[tex]x = \frac{300}{100}[/tex]
[tex]x = \frac{3}{1}[/tex]
3 : 1 is the ratio of 300 to 100. (Answer: A)
2) The weight of 1 book is found by the total weight of books divided by the total amount of books, that is:
[tex]x = \frac{80\,kg}{20}[/tex]
[tex]x = 4\,kg[/tex]
The weight of 1 book is 4 kilograms. (Answer: A)
3) The equivalent ratio of 3 : 2 is found by multiplicating both numerator and denominator by a given positive number:
[tex]x = \frac{3\times 2}{2\times 2}[/tex]
[tex]x = \frac{9}{4}[/tex]
An equivalent ratio of 3 : 2 is 6 : 4. (Answer: B)
4) The middle terms of ratio correspond with the denominator of the ratio on the left and the numerator of the ratio on the right. Hence, the middle terms of 3 : 15 = 21 : 105 are 15 and 21. (Answer: D)
5) 8 : 4 is not proportional to 8 : 16, since both numerators and denominators are not multiplied by the same number. That is:
[tex]x = \frac{8\times 1}{4\times 4}[/tex]
[tex]x = \frac{8}{16}[/tex]
8 : 4 :: 8 : 16 is not proportional. (Answer: A)
6) If two ratios are equal, then they are in proportion. That is:
[tex]a \,:\,b \,::c\,:\,d[/tex], where [tex]r = \frac{c}{a} = \frac{d}{b}[/tex], [tex]\forall\,r > 0[/tex].
If two ratios are equal, then they are in proportion. (Answer: proportion)
7) The ratio of 20 boys to 15 girls is derived of 20 divided by 15 until a denominator of the least integer is found by simplifying the fraction:
[tex]\frac{20}{15} = \frac{4}{3}[/tex]
The ratio of 20 boys to 15 girls is 4 : 3. (Answer: 4 : 3)
8) Express the following ratios in the simplest form:
a) [tex]\frac{14}{42} = \frac{7}{21} = \frac{1}{3}[/tex].
The simplest ratio of 14 : 42 is 1 : 3.
b) [tex]\frac{56}{80} = \frac{28}{40} = \frac{14}{20} = \frac{7}{10}[/tex]
The simplest ratio of 56 : 80 is 7 : 10.
9) When a series is in proportion, it must be in increasing or decreasing order at constant rate.
a) The series 4, 6, 8, 12 is in proportion, since each element after the first one is equal to the sum of the previous element and 2 units.
b) The series 15, 45, 5, 25 is not in proportion, since it is an alternating series.
10) We determine the cost of 4 cans of juice by simple rule of three:
[tex]x = \frac{4\,cans}{6\,cans}\times 210[/tex]
[tex]x = 140[/tex]
4 cans of juice cost 140.
11) a) The ratio of her earning to her expenditure is:
[tex]x = \frac{150000}{150000-50000}[/tex]
[tex]x = \frac{3}{2}[/tex]
The earning to expenditure ratio is 3 : 2.
b) The ratio of her earning to her savings is:
[tex]x = \frac{150000}{50000}[/tex]
[tex]x = 3[/tex]
The earning to savings ratio is 3 : 1.
12) 1 meter equals 100 centimeters. Then, the given ratio is:
[tex]x = \frac{15\,cm}{200\,cm}[/tex]
[tex]x = \frac{3}{40}[/tex]
The ratio of 15 centimeters to 2 meters is 3 : 40.
Find the value of x.
Answer:
60 is in the middle of 50 and 70 try 60
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
What is the complete factorization of 8x2 − 8x + 2?
A. 2(4x − 1)2
B. 8(x − 1)(x + 1)
C. 2(2x − 1)2
D. 2(x − 2)(x + 2)
Answer:
Step-by-step explanation:
8x^2 - 8x + 2
2(4x^2 - 4x + 1)
2(2x - 1)(2x - 1) or 2(2x - 1)^2
answer is C
The complete factorization of [tex]8x^2 - 8x + 2[/tex] will be [tex]2(2x-1)^2[/tex] .
What is factorization ?Factorization is a process consists of writing a number or another mathematical object as a product of several factors solving it into other factors.
We have,
[tex]8x^2 - 8x + 2[/tex]
Using the mid term splitting method;
[tex]=8x^2-4x-4x+2[/tex]
[tex]=4x(2x-1)-2(2x-1)[/tex]
[tex]=(4x-2)(2x-1)[/tex]
[tex]=2(2x-1)(2x-1)[/tex]
[tex]=2(2x-1)^2[/tex]
So, the factorization of the given expression is given in option [tex](c)[/tex] i.e. [tex]2(2x-1)^2[/tex] .
Hence, we can say that the complete factorization of [tex]8x^2 - 8x + 2[/tex] will be [tex]2(2x-1)^2[/tex] .
To know more about factorization click here
https://brainly.com/question/11994062
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A department store buys 200 shirts at a cost of $3,600 and sells them at a selling price of $20 each. Find the percent markup.
Given:
A department store buys 200 shirts at a cost of $3,600 and sells them at a selling price of $20 each.
To find:
The percent markup.
Solution:
A department store buys 200 shirts at a cost of $3,600. So, the cost price of each shirt is
[tex]C.P.=\dfrac{3600}{200}[/tex]
[tex]C.P.=18[/tex]
So, the cost price(C.P.) is $18 each.
The selling price(S.P.) is $20 each.
Now,
[tex]\text{Percent markup}=\dfrac{S.P.-C.P.}{C.P.}\times 100[/tex]
[tex]\text{Percent markup}=\dfrac{20-18}{18}\times 100[/tex]
[tex]\text{Percent markup}=\dfrac{2}{18}\times 100[/tex]
[tex]\text{Percent markup}=\dfrac{1}{9}\times 100[/tex]
[tex]\text{Percent markup}\approx 11.11\%[/tex]
Therefore, the markup percent is 11.11%.
A pool measuring 80 ft long × 40 ft wide × 16 ft high is half filled with jello for a charity event. A second pool that measures 50 ft long × 16 ft wide × 12 ft high is completely filled with jello. All the jello in the second pool is pumped into the first pool. What is the height of the jello in the first pool now?
Answer:
The answer is 11
Step-by-step explanation:
X, y and mans shadow length?
Answer:
x = 9.6 meters
y = 20.98 meters
Shadow length = 11.38 meters
Step-by-step explanation:
By applying tangent rule in right triangle ABD,
tan(21)° = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(21) = [tex]\frac{x}{25}[/tex]
x = 25(tan 21)
x = 9.5966
x ≈ 9.60 meters
Similarly, by applying tangent rule in ΔABC,
tan(40)° = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(40)° = [tex]\frac{BC}{AB}[/tex]
tan(40)° = [tex]\frac{y}{25}[/tex]
y = 25(tan 40°)
y = 20.98 meters
Length of the shadow of the man = y - x
= 20.98 - 9.60
= 11.38 meters
Find the distance between the two points. Round to the nearest tenth if necessary.
(–6, 12), (–3, –7)
A.
19.2
B.
16
C.
5.8
D.
21
Answer:
A. 19.2
Step-by-step explanation:
Use the distance formula to determine the distance between two points.
Exact Form:
√
370
Decimal Form:
19.23538406
…
3/6 + 1/2 what is the answer.
Answer:
reduce 3/6 to lowest terms which would be, 1/2 because 3 goes into 3 once and 3 goes into 6 twice.
Making your equation simplified to
1/2 + 1/2
which is equal to 1
1/2 + 1/2 = 1
Step-by-step explanation:
Hope this helps! Have a fantastic day and please mark brainliest
Answer:
3/6+1/2
find the lcm of 6&2 = 6
3+3/6= 6/6 = 1
Apples are on sale for $3 for 1/3 of a pound. How many pounds can you buy for
$10?
Valentino's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what he found.
Type of Crust Number Sold
Thin crust 338
Thick crust 331
Stuffed crust 164
Pan style 192
Based on this information, of the next 4000 pizzas he sells, how many should he expect to be stuffed crust? Round your answer to the nearest whole number. Do not round any intermediate calculations.
Answer: Number of pizzas out of 4000 that is expected to be pan size
= 4000 * 168 / (326 + 309 + 247 + 168)
= 640
Me pueden ayudar por favor
Answer:
Más información por favor
Step-by-step explanation:
work out 1/5 of 80 =
Answer:
16
Step-by-step explanation: your welcome
−72=8d
Help me
Plzzzzzzz
Answer: d= -9
Step-by-step explanation:
Help!
Jesse bought a 340-gram bag of coffee beans. He uses 18.75 grams of coffee beans each day. When there are 40 grams of coffee beans remaining in the bag, Jesse will buy another bag to
make sure
he doesn't run out of coffee.
How many days can be use the 340-gram bag of coffee beans before he buys a new bag?
Answer:
Jesse should buy a new bag in 16 days.
Step-by-step explanation:
He uses 18.75 grams a day.
We can multiply the amount of grams by the amount of days.
18.75 x 16 = 300
He stops using the bag when he uses 300 grams.
So he uses 1 bag for 16 days
1 bag can last for 16 days.
Answer:
Jesse should buy a new bag in 16 days
Step-by-step explanation:
Suppose the height of the pyramid is 20 yards. What is the pyramid's volume?
A)50 cubic yards
B)1,500 cubic yards
C)1,850 cubic yards
D)4,500 cubic yards
PLEASE HELP WHOEVER ANSWER CORRECT FIRST GETS BRAINLIEST
To determine the point at which medians of a triangle intersect one another, it is necessary to determine the equations of the lines for two
medians. The coordinates of which two points are used in the calculation of the equation for a given median?
A. the perpendicular bisector of one side and its intersection with a second side
B. the midpoint of one side of a triangle and the midpoint of a second side
C. one vertex of a triangle ahd the point of intersection of the angle bisector and the opposite side
D. one vertex of a triangle and the midpoint of its opposite side
What is the absolute value of the integer –12
Someone plz help it’s due in 3 minutes
Answer:
Yes
Step-by-step explanation:
Because as you look closer to this question, you will notice, their the same questions but the denominator is just switched around.
Hope this helped!
Answer:
Both products are equals
Step-by-step explanation:
The rule:
(a/b) × (c/d) = (a*c) / (b*d)
then:
According to the rule, numerators are multiplied by numerators and denominators by denominators. In this exercise the numerators are the same as the denominators, so the result of both products is the same.
What is a correct procedure for solving the equation above?Need now♀️
will give brainliest!!!!!!!!
Answer:
Step-by-step explanation:
wait why cant you do this yourself its just two equtions with the same answer that you can make if i make it than its not yours
10. Write the equation of a line in slope-intercept form that passes
through the points (-2, 3) and (0,8).
y = mx + b
Equation:
Answer:
Step-by-step explanation:
5/2
Plzz helpp I’ll mark brainiest
Answer:
Ben $19 Amy $22
Step-by-step explanation:
$10+ ($3*3)=$19
$13+($3*3)=$22
Can some pls help me I will cash app you
Answer:
The value of x is -1
Step-by-step explanation:
can someone help me do this darn work plz
Answer:
13. 17/20
14. 11/100
16.) 4 3/10
17.) 7 3/4
19.) -1 3/5-
20.) 3/8
22.) -5 3/5
23.) 1 3/25
26.) 85.33%
Answer:
13. 17/20
14. 11/100
16. 4 3/10
17. 7 3/4
19. 1 3/50
20. 3/8
22. -5 3/5
23. 1 3/25
25. 6.34%
26. 85.33%