F, G, and H all lie on the same line. If FG/GH = 1, then FG = GH, which is to say the distance between F and G is equal to the distance between G and H. This means either F and H are the same point, or G is the midpoint of F and H.
They're not the same point, because the x-coordinate of H is 7 times that of F. So G must be halfway between F and H.
Then the x-coordinate of G is
(a + 7a)/2 = 8a/2 = 4a
How do I Solve for 5x+2=180
Help asap pls!!! Put steps if possible 3
Answer:
i. 15.4
ii.45.2
Step-by-step explanation:
correct me if im wrong
tnx
(1 x 3)+ (7 x 3) as a product of 2 factors
Answer:
3 + 21 = 24 and they are the product to the factors of 63
Step-by-step explanation:
hi can you help me ?
solve the equation by the method of vision:
x²-7x+12=0
solve the problem by dividing it into full squares:
x²-8x-8=0
this will be the answer
1: x=-4 or x=-3 and the second can be shown clearly
I WILL GIVE 30 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY
Answer:
25
Step-by-step explanation:
20^2 + 15^ = c^2
400 + 225 = c^2
625 = c^2
25 = c
Answer: The length of the ladder is 25 feet.
Pls help! And USE QUADRATIC FORMULA
Answer:
the answer is A
Step-by-step explanation:
1. y=3x^2-2x-2
0=3x^×-2x-2
2. 3x^2-2x-2=0
[tex] -( - 2) \frac{ + }{ - } \sqrt{( - 2) {}^{2} } - 4 \times 3 - 2 \2 \times 3[/tex]
3.
[tex]2 \frac{ + }{ - } \sqrt{4 + 24} \div 6 \\ \\ 2 \frac{ + }{ - } \sqrt{28} \div 6[/tex]
4.
[tex]2 \frac{ + }{} \frac{2 \sqrt{7} }{6} [/tex]
5.
[tex]1 \frac{ + }{ - } \frac{1 \sqrt{7} }{ 3} [/tex]
Given: 3(7x-9)-19x=-15
Prove: x=6
Step-by-step explanation:
3(7x-9)-19x = -15
21x-27-19x = -15
2x-27 = -15
2x = -15+27
2x = 12
x = 6
prove x = 6
Substitute x=6 into the equation.
3(7(6)-9)-19(6) = -15
3(42-9)-114 = -15
3(33)-114 = -15
99-114 = -15
-15 = -15 True✓
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.
Answer:
The test has 10 3-point questions and 14 5-point questions.
Step-by-step explanation:
x + y = 24
3x + 5y = 100
From the first equation:
3x + 3y = 72
Subtracting:
3x - 3x + 5y - 3y = 100 -72
2y = 28
so y = 14
x + 14 = 24 so x = 10.
10*3 + 5*14
= 30 + 70 = 100 points.
Two lines are intersecting. What is the value of x?
(x + 26)
(3x - 6)º
Answer:
i don't know sorry
Write an expression for the total number of fish and plants in all the sets using the expression you found in part A.
The expression for the total number of fish and plants in all the sets is 24x + 18y.
The given parameters:
Number of fish, = 24Number of plants, = 18Let the total number of fish and plants = T
Let the total number of fish in all the sets = 24x
Let the total number of plants in all the sets = 18y
The expression for the total number of fish and plants in all the sets is calculated as follows;
T = 24x + 18y
Thus, the expression for the total number of fish and plants in all the sets is 24x + 18y.
The complete question is below:
Insert images of the plant and the fish in the space provided to arrange the 24 fish and the 18 plants into sets so that each set has the same number of fish and the same number of plants and none are left over. (In each set, the number of plants does not have to be equal to the number of fish.) Write an expression for the total number of fish and plants in each set
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What is the sum of the first 32 terms in the arithmetic
series 3 + 10 + 17 + …?
Answer:
30
Step-by-step explanation:
Will mark brainleist
Answer:
-5/3
Step-by-step explanation:
Did this before
Find the area of this figure
Show work, please
Answer:
80 in2
Step-by-step explanation:
Here is my work shown in screeny
Find the value of y.
The value of the variable 'y' will be square root 21 that is √21.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
The ratio of the corresponding sides of a similar triangle remains constant. Then the equation is given as,
y / 3 = 7 / y
Simplify the equation, then we have
y / 3 = 7 / y
y² = 21
y = √21
The value of the variable 'y' will be square root 21 that is √21.
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What is the volume of the container
Answer:
1468 in
Step-by-step explanation:
1) Find volume of entire figure
10*10*15=1500
2) Find volume of small piece that is cut out
2*4*4=32
3) Subtract smaller number from bigger number
1500-32=1468
Answer:
1,468 [tex]in^{3}[/tex]
Step-by-step explanation:
Volume = length * base * height
Volume = 10 * 10 *15
10 * 10 *15 = 1500
To get the object with a portion taken off, you would find the volume of the chunk taken off and subtract it from the whole object.
4 * 4 * 2 =32
1500-32 = 1468 in^3
Mr. Rao's gas tank holds up to 1718 gallons of gas. It took 12.65 gallons of gas to fill his tank.
How many gallons of gas did Mr. Rao have in his tank before he filled it?
Enter your answer as a decimal or as a mixed number in simplest form in the box.
gal
4.475 or 4 19/40 gallons
How?
12.65=253/20
253/20= 12 13/20
////////
I need a similar denominator of 12 13/20 and 17 1/8.
12 13/20×2/1= 12 26/40
17 1/8×5= 17 5/40
17 5/40-12 26/40= 4 19/40
Therefore,
the answer is 4 18/40 gals
Answer:
4 19/20
Step-by-step explanation:
17 1/8 - 12 13/20 = 4 19/20
If Sally has 5 apples and Joe has 2 more apples than Sally but Joe gets robbed how many apples does Sally and Joe have all together
Answer:
Well, we need to know how many apples Joe was robbed of before we can finish the problem.
−5/6e−2/3e=−24 solve for e
Answer:
-3e/2
Step-by-step explanation:
A sequence of numbers is shown below :
1 5 9 13 17
explain why 95 will not be a term in this sequence
Answer:
95 is not a term here as the next verse should be 98 as it is a 94 term in this pattern
95 will not be a term in the sequence 1, 5, 9, 13, 17, ....., as the value of n for the nth term is not integer.
What is arithmetic sequence ?An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.
The given sequence of numbers is,
1, 5, 9, 13, 17, .....
The first term of the given sequence a₁ =1,
From the given sequence, the common difference pair of two consecutive terms d = 4,
Let nth term of the sequence aₙ= 95,
By arithmetic sequence formula,
aₙ = a₁ + (n-1).d
Substitute the value of aₙ and d,
95 = 1 + (n-1).4
94 = (n-1). 4
(n-1) = 23.5
n = 24.5
The value of n can't be decimal, so 95 can't be a term of the given sequence.
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Jacob says that (12 + 31) × 5 is
equivalent to 12 + 31 x 5 because of the
associative property.
Describe the associative property
in words.
Determine if Jacob is correct. Justify
your answer.
Answer:
Step-by-step explanation:
the associative property means that when you are adding OR multiplying you can group the numbers however you want
Jacob is wrong because (12 + 31) x 5 = 215 and 12 + 31 x 5 = 167
Given the graph below, write an equation in slope-intercept form.
Which of the following does not describe slope? O A rate of change
O A proportional relationship
O A line
O Rise over run
Answer: Should be a line
Step-by-step explanation:
Thanks so very much!!
Answer:
yw
Step-by-step explanation:
PT. 3 OF MY HW IT IS UNIT RATE
Answer: The rate of change decreased.
Step-by-step explanation:
HELPPP:$
Sal earns $480 per week. Lidia earns $300 per week. Are their salaries proportional if Sal works 40 hours per week and Lidia works 25 hours per week? True or false?
Answer:
not proportional
Step-by-step explanation:
because if you multiply 480×40=19200 and 300×25=7500
it is not the same
The earnings of Sal and Lidia will be equal to each other. So, yes their salaries are proportional.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
Sal acquires $480 each week. Lidia acquires $300 each week. On the off chance that Sal works 40 hours out of every week and Lidia works 25 hours out of each week.
The earnings of Sal in each hour will be given as,
⇒ $480 / 40
⇒ $12 each hour
The earnings of Lidia in each hour will be given as,
⇒ $300/ 25
⇒ $12 each hour
The income of Sal and Lidia will be equivalent to one another. Along these lines, yes their compensations are corresponding.
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What is 6 x 3/6 Draw a model of your choice to help you solve.
Answer:
3
Step-by-step explanation:
6×3/6 (the / means ÷)
(6×3) ÷6
18 ÷6
=3
To make pink paint you need 2 pints of white paint and 1 pint of red paint. How many pints of red paint is needed for 10 pints of white paint? *plz i neeeed help
Answer:
5 pints is needed
Step-by-step explanation:
2 pints of white paint for pink
1 pint of red for pink
10 pints of white paint = 5 pints of red
6 less than one-third of a number m is y
Answer:
(m×1/3)-6=y
Step-by-step explanation:
Start with m as the unknown variable.Now multiple that by 1/3 to find that portion of m. (m×1/3)Lastly, subtract 6 and set the expression equal to y. (-6=y)Thus we get our final equation: (m×1/3)-6=y38. In a certain school, 45% of the students are boys. 80% of the boys have brown hair while 50% of those with brown hair
are girls. What is the probability that a randomly selected girl does NOT have brown hair?
A) .19
B) .36
C) 55
D) .35
E) none of the above are correct
The probability that a randomly selected girl does not have brown hair is 34.54%.
Given that in a certain school, 45% of the students are boys, and 80% of the boys have brown hair while 50% of those with brown hair are girls, to determine what is the probability that a randomly selected girl does NOT have brown hair, the following calculation must be performed:
45 x 0.80 = 36% of the school are brown hair boys 36% of the school are brown hair girls 55 - 36 = 55 = 100 19 = X 19 x 100/55 = X 1900/55 = X 34.54 = X
Therefore, the probability that a randomly selected girl does not have brown hair is 34.54%.
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A manufacturer is cutting plastic sheets to make rectangles that are 11.125 in. By 7.625 in. Each rectangles length and width must be within 0.005 in. Of the desire size . Write and solve inequalities to find the acceptable range for the length / and the width w
The inequalities to find the acceptable range for the length and the width w are - 0.005 ≤ l - 11.125 ≤ 0.005 and - 0.005 ≤ w - 7.625 ≤ 0.005 respectively.
length = 11.125 in
width = 7.625 in
Range of value must be less than orequal to 0.005 in
let
l = Length
w = width
Length inequality:
l - 11.125 ≤ 0.005
write as a compound inequality
- 0.005 ≤ l - 11.125 ≤ 0.005
Width inequality:
w - 7.625 ≤ 0.005
write as a compound inequality
- 0.005 ≤ w - 7.625 ≤ 0.005
Therefore, the inequalities to find the acceptable range for the length and the width w are - 0.005 ≤ l - 11.125 ≤ 0.005 and - 0.005 ≤ w - 7.625 ≤ 0.005 respectively.
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