Answer:
(4, 3)
Step-by-step explanation:
If a point O(x, y) divides a line segment AB with end points at A([tex]x_1,y_1[/tex]) and B([tex]x_2,y_2[/tex]) in the ratio of n:m, then the location of O is at:
[tex]x=\frac{n}{n+m} (x_2-x_1)+x_1\\\\y=\frac{n}{n+m} (y_2-y_1)+y_1[/tex]
Given that Nates house is located at (-2,4) while the park is located at (10,2). Macs house if it is 1/2 of the distance from Nates house to the park (that is in the ratio of 1:1). Let (x, y) be the coordinate of Macs house, therefore:
[tex]x=\frac{1}{2}(10-(-2))+(-2)=\frac{1}{2}(12)-2=6-2\\\\x= 4\\\\y=\frac{1}{2}(2-4) +4=\frac{1}{2}(-2)+4\\\\y=3[/tex]
The location of Macs house is (4, 3)
Help 15 points djdjfjfjfjjgkv
Step-by-step explanation:
YOUR ANSWER :- B. 45°.......
Tim is going to an amusement park that cost 30.00 to get into.Treats like cotton candy carmel apples and funnel cakes cost 2.00 dollars each .Tim does not want to spend more than 62.00 in all. Solv for x ,where x equals the number of 2.00 treats tim can buy
Answer:
x = 16 treata
Step-by-step explanation:
Let us represent x = Number of treats that Tim can buy
We are told that: Tim does not want to spend more than $62.00 in all.
= Time wants to spend less than or equal to $62.00
Tim is going to an amusement park that cost $30.00 to get into.Treats like cotton candy carmel apples and funnel cakes cost 2.00 dollars each .
Therefore, our inequality equation =
$30.00 + $2.00 × x ≤ $62.00
30 + 2x ≤ 62
Solving for x
30 + 2x ≤ 62
2x ≤ 62 - 30
2x ≤ 32
x ≤ 32/2
x ≤ 16
Hence, Tim can buy no more than(less than or equal to ) 16 treats
The graph shows the relationship between the number of pounds of
apples purchased and the total cost of the apples.
What is the cost of 1 pound of apples? Enter the answer in the box.
Given:
The graph shows the relationship between the number of pounds of apples purchased and the total cost of the apples.
To find:
The cost of 1 pound of apples.
Solution:
We need to find the slope of the line to get the cost of 1 pound of apples.
From the given graph it is clear that the line passes through two points (0,0) and (2,3). So, the slope of the line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{3-0}{2-0}[/tex]
[tex]m=\dfrac{3}{2}[/tex]
[tex]m=1.5[/tex]
Therefore, the cost of 1 pound of apples is $1.5.
Answer:
1.5
Step-by-step explanation:
write two equations that goes through the point 7, 4 and -3,8
Answer:
y=−2/5x+34/5 there is no other equation
Step-by-step explanation:
Answer:
y - 4 = -2/5(x - 7)
y = -2/5 + 6.8
Step-by-step explanation:
Graph it and see that they are both the same line and that they both go through the same points.
Can someone please help me? If it is correct ai will give Brainliest
Thank you
9514 1404 393
Answer:
A
Step-by-step explanation:
Collecting terms of the expression, we have ...
x + 0.1x = x(1 +0.1) = 1.1x
In words, adding 10% is the same as multiplying the value by 1.1. Choice A is appropriate.
42.
*=3"y=9,- 27 and "y"? - 1, then abe is a
(a) 1
) (b) 27
(e)
( (d) 0
43. In given fig., the diagonals of a rectangle ABCD
Answer: (d) 0
we have:
[tex]y=9^{b}=(3^{2})^{b}=3^{2b}\\\\z=27^{c}=(3^{3})^{c}=3^{3c}\\\\\\x^{bc}.y^{ca}.z^{ab}=1\\\\<=>(3^{a})^{bc}.(3^{2b})^{ca}.(3^{3c})^{ab}=1\\\\\\<=>3^{abc}.3^{2abc}.3^{3abc}=1\\\\\\<=>3^{6abc}=3^{0}\\\\\\=>6abc=0\\\\\\<=>abc=0[/tex]
Step-by-step explanation:
Answer:
abc = 0
Step-by-step explanation:
[tex]x = {3}^{a} \\ y = {9}^{b} = {3}^{2b} \\ z = {27}^{c} = {3}^{3c} \\ \\ \because \: {x}^{bc} {y}^{ca} {z}^{ab} = 1 \\ \\ \therefore \: ( {3}^{a} )^{bc} ( {3}^{2b} )^{ca} ( {3}^{3c} )^{ab} = 1 \\ \\ {3}^{abc} .{3}^{2abc} .{3}^{3abc} = 1 \\ \\ {3}^{abc + 2abc + 3abc} = 1 \\ \\ {3}^{6abc} = {3}^{0} \: \\ ( \because \: {3}^{0} = 1) \\ \\ \because \: bases \: are \: equal \\ \therefore \: exponents \: will \: also \: be \: equal \\ \\ \implies \: 6abc = 0 \\ \\ \implies \: \red{ \bold{abc = 0 }}[/tex]
PLEASE HELP! and also please show your work!!
Answer: d) b = 12
2/3.b - 1/3.b + 12 = 16
⇔ 1/3. b = 16 - 12
⇔ 1/3.b = 4
⇔ b = 4.3 = 12
Step-by-step explanation:
Answer:
b = 12
Step-by-step explanation:
2/3 b - 1/3 b + 12 = 16
or, 2b/3 - b/3 + 12 = 16
or, 2b -b/ 3 + 12 = 16
or, 2b - b = 16 - 12
or, b = 4 × 3
therefore, b = 12
please help fast
Find the mistake
a) (x+3)(x+9)= x2+18x+12
Step-by-step explanation:
Using FOIL:
(x + 3)(x + 9)
= (x)(x) + (x)(9) + (3)(x) + (3)(9)
= x² + 9x + 3x + 27
= x² + 12x + 27.
If at a toy store, 2 board games cost $13.40, what is the unit price of a board game?
Answer:
The unit price of a board game is $6.70
Step-by-step explanation:
1 board/2boards = x/13.4
Cross multiply:
13.4*1/2x
13.4/2x
x=6.7
Hope this helps plz hit the crown :D
ASAP PLS HELP ME I NNED HELP
Answer:
perimeter=40.9ft
Step-by-step explanation:
The length at the top is 10ft,the length at the bottom is 10+4ft=14ft and the other lengths are8.9ft and 8ft
perimeter=10+14+8+8.9=40.9ft
fine! many grams did she use
Answer:
72 Grams
Step-by-step explanation:
You do 288/24 and then you would get 12 and then you would do 6 * 12 and get 72 (12 cups of tea.. darn)
Find the coordinate of the missing vertex of rectangle ABCD with A(-5,4), B(3,4), and D(-5,-3).
Answer:
(3 , -3)
Step-by-step explanation:
The missing vertex of rectangle ABCD is C(3, -3).
What are the coordinates?Coordinates are a collection of numbers that aid in displaying a point's precise location on the coordinate plane.
Given:
ABCD is a rectangle.
And the vertices are A(-5,4), B(3,4), and D(-5,-3).
We know,
the parallel sides of a rectangle are equal.
Plotting coordinates of all the vertex.
We get,
the missing vertex is C(3, -3)
To verify that segments are equal or not:
Now, AB = √{(-5 - 3)² + (4 - 4)²} = √{64} = 8 units
CD = √{(-5 - 3)² + (-3 + 3)²} = √{64} = 8 units.
Therefore, the missing vertex is C(3, -3).
To learn more about the coordinates;
https://brainly.com/question/27749090
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Examen Compétence 1: Proportions et algèbre
1.
Dans un camp de jour, Marc essaie de te faire deviner le nombre d'élèves qu'il a
dans ses deux groupes. Dans le groupe A, le rapport entre les gars et les filles
est de 3:5 et celui du groupe B est de 2:3. Il y a 62 élèves en tout et il y a autant
de garçons dans le groupe A que dans le groupe B. Combien y a-t-il d'élèves dans
le groupe B?
Considérez qu'il y a "x" garçons dans chaque groupe et résolvez l'équation
algébrique.
Answer:
Check my link.
Step-by-step explanation:
Brainly keeps on saying my question either has a link or is inappropriate, and it neither has a link nor is inappropriate.
I have no clue as to what to correct.
John bikes 22 km per hour and starts at mile 10. Gymn bikes 28 km per hour and starts at mile 0. Which system of linear equations represents this situation?
Answer:
Step-by-step explanation:
The following are linear equations for the distance that John has biked (J) and the distance that Gymn has biked (G). These two equations represent the situation being described using the values provided.
J = 22x + 10
G = 28x + 0
In these equations the variable x represents the number of hours each of the bicyclists have biked.
85 POINTS! If y is 2.5 when x is 5 and y varies directly with x, find y when x is 20.
Answer:
Y = 10 when X = 20
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
y∝x∴y=k⋅x or k=y over x=2.50.5=5
(k is proportionality costant) When
x
=
20
;
y
=
5
⋅
20
=
100
[Ans]
what is the answer to the question?
Answer:
120°
Step-by-step explanation:
m<ABD+m<DBC=m<ABC
61°+59°=120°
hope this helped!
Answer:
We conclude that the value of m∠ABC = 120°
Step-by-step explanation:
Given
m∠ABD = 61°
m ∠DBC = 59°
To Determine
m∠ABC = ?
It is clear that the value of m∠ABC can be determined by adding m∠ABD and m∠DBC because m∠ABC the segment BD divides the angle m∠ABC into two adjacent angles m∠ABD and ∠DBC.
Therefore,
m∠ABC = m∠ABD + m∠DBC
= 61° + 59° ∵ m∠ABD = 61°, m ∠DBC = 59°
= 120°
Therefore, we conclude that the value of m∠ABC = 120°
Wayne bought blueberries. He uses 3/8 of the blueberries to make blueberry bread,
1/6 of the blueberries to make pancakes, and
5/12 of the blueberries to make jam. If Wayne uses 69 ounces of the blueberries he bought, how many ounces of blueberries did he buy?
Plzzzz help and also can you plz show how you got the answer
Answer:hi
Step-by-step explanation:
I need help finding the missing side.
Answer:
x ≈ 25.1
Step-by-step explanation:
Using the cosine ratio in the right triangle, that is
cos64° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{11}{x}[/tex] ( multiply both sides by x )
x × cos64° = 11 ( divide both sides by cos64° )
x = [tex]\frac{11}{cos64}[/tex] ≈ 25.1 ( to the nearest tenth )
Help me please ASAP!
Answer:
Choice 1
Choice 4
Choice 5
Step-by-step explanation:
For this one you just have to plug in the x in every equation and solve it. If the answer is true it's true, but if it's false it's false.
Let's solve each of these...
Number 1:
[tex]9-3x=0\\9-3(3)=0\\9-9=0\\0=0[/tex]
As you can see 0 does equal itself so this one is true.
Number 2:
[tex]3x+1=9\\3(3)+1=9\\9+1=9\\10\neq9[/tex]
10 does not equal 9 so this one would be false.
Number 3:
[tex]5x-7=1\\5(3)-7=1\\15-7=1\\8\neq1[/tex]
This one is also false.
Number 4:
[tex]2x+4=10\\2(3)+4=10\\6+4=10\\10=10[/tex]
This one is true.
Number 5:
[tex]\frac{x}{3}+5=6\\\frac{(3)}{3}+5=6\\1+5=6\\6=6[/tex]
This one is true.
Number 6:
[tex]\frac{9}{x}-1=4\\\frac{9}{(3)}-1=4\\3-1=4\\2\neq4[/tex]
This one is false.
When Mr. Johnson check the newspaper on Monday he saw that the stock for Apple Inc. was worth $442.69 when he checked on Tuesday the stock had dropped $5.32 how much is the Apple Inc. stock worth on Tuesday
A. $437.37
B. $437.07
C. $448.01
D. $448.37
You are ordering a sandwich for lunch. If the sandwich shop boasts that they have 25 different toppings for their sandwiches, and you can choose up to five for no extra cost, how many combinations of toppings can you get on your sandwich without having to pay more?
Step-by-step explanation:
Number of Combinations
= 25C0 + 25C1 + 25C2 + 25C3 + 25C4 + 25C5
= 1 + 25 + 300 + 2300 + 12650 + 53130
= 68,406.
There are a total of 68,406 combinations.
Answer:
6
Step-by-step explanation:
Sohan can do a piece of work in 10 days. He worked at it
for 5 days and then Mohan finished it in 5 days. In how
many days can sohan and morgan work together finish the
work?
Answer:
5 days
Step-by-step explanation:
Sohan can do the whole thing in 10 days
he worked 5 days so he did half
and Mohan did the other half in 5 days
so their speeds are same
so if they worked together they'd do it in half the time
i.e 5 days
Which expression is equivalent to 0.5 × 0.6?
A. (5 × 10) × (6 × 10)
B. (5 × 110) × (6 × 1100)
C. (5 × 1100) × (6 × 1100)
D. (5 × 110) × (6 × 110)
Answer:
C.
Step-by-step explanation:
Because ( 5 x 1100) x (6 x 1100) yeay
The correct equivalent expression is (5 × 1/10) × (6 × 1/10)
The correct option is (D)
What are decimals?Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point.
Given:
0.5 × 0.6
Is we expand it into fraction we get
=5/10 * 6*10
Hence, the equivalent fraction is 0.5 × 0.6.
Learn more about decimal here:
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Rewrite each fraction with a denominator of 24 2/3 5/8
Answer:
A)16/24
B)15/24
Step-by-step explanation:
We were told to rewrite so that the denominator will be 24
A)2/3
This can be rewritten as 16/24, so that the denominator is now 24. And if we divide the numerator (16) by factor of 8 and the denominator (24) by factor of 8. Then we have 2/3.
OR
[2/3 × 8/8] = 16/24
B)5/8
This can be rewritten as 15/24, so that the denominator is now 24. And if we divide the numerator (15) by factor of 3 and the denominator (24) by factor of 3. Then we have 5/8
OR
(5/8 × 3/3)= 15/24
three out of five houses in a small town are owned by families if there are 250 houses in town how many houses are owned by families
Answer:
150 houses
Step-by-step explanation:
for every 5 houses, 3 are owned by families. If you 50x the amount, for every 250 houses, there will be also 3x50=150 ones owned by families
Weekday hours tripled but your budget of $220 for 26
parking hours remain the same. How many weekend hours
can you purchase now that the weekday hours have
increased?
Answer:
8 weekend hours can now be purchased.
Note: The prior information required is:
You purchase 26 "parking hours" that you can use over the next month to park your food truck at the fair. Weekday hours cost $2/hour and weekend hours cost $10/hour.
Step-by-step explanation:
Initial cost of weekday hours = $2/ hour
Since the cost of the weekday hours is tripled, new cost = $2/ hour × 3 = $6/ hour
Total week hours purchased = 26 hours
Let the number of weekend hours be x; number of weekday hours will be 26 - x
Since the budget remains the same, therefore, the total cost of weekday parking hours and weekend parking hours will be equal to $220as expressed below;
(26 - x) × $6 + $10 × x = $220
$10x - $6x + $156 = $220
$4x = $(220 -156)
x = 64/4
x = 8 hours
Therefore, 8 weekend hours can now be purchased
Matsuki is very very bored...
34 + 35 x (60/2) - (40/2) = ?
I believe the answer is 1064.
P.s. your cute matsuki <3
Are the ratios 3:4 and 2:20 equivalent?
Answer:
no
Step-by-step explanation:
asap...?
anyone.....?
Answer:
Kahirap naman nyan
Step-by-step explanation:
Sorry
Answer:
300-70-90=140
Step-by-step explanation: