Answer:
x = 1.8
Step-by-step explanation:
7x = 17x - 18
bring all x values to a side
7x -17x = -18
-10x = -18
divide by -10
x = 9/5 = 1.8
The value of x is 6.
We know from Mid point theorem
The Midpoint Theorem, also known as the Midsegment Theorem, states that in a triangle, the line segment connecting the midpoints of two sides is parallel to the third side and is half its length.
So, from the figure we can write
7x = 1/2 (17x - 18)
7x (2) = 17x - 18
14x = 17x - 18
By subtracting 17x from both sides to eliminate the x term on the right side:
14x - 17x = 17x - 17x - 18
-3x = -18
Next, divide both sides of the equation by -3 to solve for x:
(-3x) / -3 = (-18) / -3
x = 6
Learn more about Mid point theorem here:
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here are two numbers which add up to 17. If one number is 13 more than the other, find the two numbers.
Answer:
X+y=17
X=y+13
y+13+y-13=17-13
2y. =4
y=2.
X=2+13
X=15
the two numbers are 2 and 15
Can someone just help me with this simultaneous equations with substitution. I’ve asked ten times and no one has helped. Please
Answer:
I've answered this for you in your previous question. Hope it helped
Answer:
[tex]\huge\boxed{\sf Solution\ Set = \{x,y\} = \{1,2\}}[/tex]
Step-by-step explanation:
3x + 4y = 11 ----------------------(1)
x = 15 - 7y ----------------------(2)
Put Eq. (2) in (1)
3(15 - 7y) + 4y = 11
45 - 21y + 4y = 11
45 - 17y = 11
Subtracting 45 to bot sides
-17y = 11 - 45
-17y = -34
Dividing both sides by -17
y = -34 / -17
y = 2
[tex]\rule[225]{225}{2}[/tex]
Put y = 2 in Eq. (2)
x = 15 - 7(2)
x = 15 - 14
x = 1
[tex]\rule[225]{225}{2}[/tex]
Solution Set = {x,y} = {1,2}
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807
The UAE Special Forces usually accepts about 12% of applicants. This year 2.330 soldiers
applied. About how many will be accepted? *ROUND to nearest whole number
Answer me please!
Answer:
280 soldiers
Step-by-step explanation:
Given data
Acceptance rate= 12%
Number of applicants= 2,330 soldiers
Let us find 12% of 2330
= 12/100*2330
= 0.12*2330
=279.6
Therefore, approximately 280 soldiers will be accepted
Find the slope of the line 8x-2y=11
On a coordinate plane, 4 points are plotted. The points are (1, 48), (2, 12), (3, 3), (4, 1).
Determine the explicit formula for the geometric sequence represented by the graph.
f(x) = (one-fourth) Superscript x
f(x) = 48 (one-fourth) Superscript x minus 1
f(x) = (4)x
f(x) = 48(4)x – 1
Answer:
f(x)=48 (4)x-1 это просто
Answer:
It is in Fact B.
Step-by-step explanation:
I Took this on Edge and it is right, if you have this question, then it is B.
Question 4(Multiple Choice Worth 4 points)
(7.02)
What is the value of q in the equation 5q- 10 = 75?
017
O 60
65
O 85
Answer:
17
Step-by-step explanation:
divide by 5 both side and q will be:
q-2=15 then take 2 to the other side which will be positive . therefore
q=17
A drink and a sandwich together cost $4.85. The sandwich cost $1.35 more than the drink. How much does the sandwich cost.
The sandwich will cost $3.1.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Let's say the cost of 1 drink is d while the cost of 1 sandwich is s
Now,
Given that,
A drink and a sandwich together cost $4.85.
So,
s + d = 4.85
And,
The sandwich cost $1.35 more than the drink.
So,
s = 1.35 + d
By using substitution
s = 1.35 + 4.85 - s
2s = 6.2
s = 3.1
Hence "The sandwich will cost $3.1".
To learn more about the arithmetic operators,
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How to solve this type of problem . I haven’t been able to advance .
Answer:
P=78,56 If something is not clear to you, just ask, I will be happy to help :)
Step-by-step explanation:
To calculate the total area of a figure, you divide it into several shapes.
P1, P2, and P3 are the area of the rectangle, P4 is the area of the square, and P5 is the area of one-quarter of the circle.
P1=a*b
P1=8*6
P1=48
P2=a*b
P2=3*2
P2=6
P3=a*b
P3=4*2
P3=8
P4=[tex]a^{2}[/tex]
P4=[tex]2^{2}[/tex]
P4=4
P5=[tex]\frac{1}{4} * r^{2} *\pi[/tex]
P5 = [tex]\frac{1}{4} * 4^{2} * \pi[/tex]
P5 =4[tex]\pi[/tex] or approximately 12,56
P = P1+P2+P3+P4+P5
P = 48+6+8+4+12,56
P=78,56
What is the solution to the system of equations graphed below?
o
A. (1,1)
B. (0, -4)
C. (2.5)
D. (-5.-3)
Answer: b
Step-by-step explanation:
In a survey at a local university, 61% of students say that they get less than the recommended eight hours of sleep per night. In a group of 2700 students, how many would you expect get eight
students get eight or more hours of sleep per night.
2X-5<9 solve inequality
Step-by-step explanation:
2x<9+5
2x<14
2x/2<14/2
x<7
Answer:
[tex]\boxed {\boxed {\sf x <7}}[/tex]
Step-by-step explanation:
To solve the inequality you must isolate the variable, which is x.
[tex]2x-5 < 9[/tex]
5 is being subtracted from 2x. The inverse of subtraction is addition, so add 5 to both sides of the equation.
[tex]2x-5+5 < 9+5[/tex]
[tex]2x < 14[/tex]
x is being multiplied by 2. The inverse of multiplication is division, so divide both sides by 2.
[tex]\frac {2x}{2} < \frac {14}{2}[/tex]
[tex]x <7[/tex]
The solution to this inequality is x <7
what is the adjective in these sentence the elephant had a long twisty trunk.which of the word is adjective .
i need help please asap i will give heart to first correct comment
Answer:
Step-by-step explanation:
Alicia, use that the area of a triangle is 1/2 base * height
A = 1/2 b * h
2*A /h = b
2*14 / 6 = b
4 2/3 = b
the base is 4 [tex]\frac{2}{3}[/tex] feet :) <3 :P
PLEASE HELP ACELLLUS
9514 1404 393
Answer:
(-2)
Step-by-step explanation:
Put the point values in the given equation to see what the missing number is.
y = 1/2x + (_)
2 = 1/2(8) + (_) . . . . . substitute the given values
2 = 4 + (_) . . . . . . . . simplify
-2 = (_) . . . . . . . . . . . subtract 4
The green ? should be filled with -2.
Simplify (3 + 6i) – (8 - 5i)
Select one:
a, -5 + i
b. 6
C. 16
d. -5 + 11i
Answer:
−5+11i
Step-by-step explanation:
(3+6i)−(8−5i)
Subtract 8−5i from 3+6i by subtracting the corresponding real and imaginary parts.
3−8+(6−(−5))i
Subtract 8 from 3. Subtract −5 from 6.
−5+11i
Step-by-step explanation:
I hope this helps. The answer is D.
help i can’t find this answer
Answer:
(-3,-17)
Step-by-step explanation:
6 divided by 2^5 (9x4-5^5+8)
Answer:
577.6875
Step-by-step explanation:
(6 / (2^5)) * ((9×4) - (5^5) + 8) = 577.6875
Find the missing length of the triangle.
Answer:
B=5.44 i think hopefully
determine the following
Answer:
Step-by-step explanation:
4 = x + 12 PLEASE HELP QUICK
Answer:
x= -8
Step-by-step explanation:
Move the terms
Calculate: -x=12-4 = -x=8
Change the signs
drag each tile to the correct box. not all tiles will be used.
Find the equations with unit rates greater than the unit rate of the graph. then arrange these equations in order from least to greatest unit rate
Answer:
[tex]y=\frac{13}{6}x[/tex] [tex]y= \frac{11}{5}x[/tex] [tex]y = \frac{21}{9}x[/tex] [tex]y = \frac{19}{8}x[/tex]
Step-by-step explanation:
Given
The attached graph
Required
Equations with higher unit rate
First, calculate the unit rate of the graph
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where:
[tex](x_1.y_1) = (0,0)[/tex]
[tex](x_2.y_2) = (7,15)[/tex]
So:
[tex]m = \frac{15 - 0}{7 - 0}[/tex]
[tex]m = \frac{15}{7}[/tex]
[tex]m = 2.143[/tex]
For the given options.
The unit rate is the coefficient of x
So: [tex]y = \frac{19}{8}x[/tex]
Going by the above definition of unit rate.
[tex]m = \frac{19}{8}[/tex]
[tex]m = 2.375[/tex]
[tex]y = \frac{27}{13}x[/tex]
[tex]m = \frac{27}{13}[/tex]
[tex]m = 2.077[/tex]
[tex]y = \frac{21}{9}x[/tex]
[tex]m = \frac{21}{9}[/tex]
[tex]m = 2.333[/tex]
[tex]y= \frac{11}{5}x[/tex]
[tex]m= \frac{11}{5}[/tex]
[tex]m= 2.20[/tex]
[tex]y = \frac{15}{7}x[/tex]
[tex]m = \frac{15}{7}[/tex]
[tex]m = 2.143[/tex]
[tex]y = \frac{31}{15}x[/tex]
[tex]m = \frac{31}{15}[/tex]
[tex]y = 2.067[/tex]
[tex]y=\frac{13}{6}x[/tex]
[tex]m=\frac{13}{6}[/tex]
[tex]m=2.167[/tex]
The unit rates grater than the graph's from small to large are:
[tex]y=\frac{13}{6}x[/tex] [tex]y= \frac{11}{5}x[/tex] [tex]y = \frac{21}{9}x[/tex] [tex]y = \frac{19}{8}x[/tex]
[tex]m=\frac{13}{6}[/tex] [tex]m= \frac{11}{5}[/tex] [tex]m = \frac{21}{9}[/tex] [tex]m = \frac{19}{8}[/tex]
Which inequality represents: 3 is less than y minus 2
Answer:
3>y-2
Step-by-step explanation:
your welcome i think
find the least-squares regression line treating the FICO score, x, as the explanatory variable and the interest rate, y, as the response variable
Answer:
ŷ = -0.07637X + 61.36874
Step-by-step explanation:
Score, x :
545
595
640
675
705
750
Interest %, y:
18.982
17.967
12.218
8.612
6.680
5.150
Using the ordinary least square regression calculator :
The equation of best fit obtained is :
ŷ = -0.07637X + 61.36874
Slope = - 0.07637 (depicts a negative relationship between the variables).
Intercept = 61.36874
Score, X = explanatory variable ; Interest rate, Y = response variable
PLEASE HELP!! I WILL REWARD BRANIEST!
Answer: nate
Step-by-step explanation:
nate because 7.905 is higher than all of them
People with albinism have little pigment in their skin, hair, and eyes. The gene that governs albinism has two forms (called alleles), which we denote by a and A. Each person has a pair of these genes, one inherited from each parent. A child inherits one of each parent's two alleles independently with probability 0.5. Albinism is a recessive trait, so a person is albino only if the inherited pair is aa.
a. Beth’s parents are not albino, but she has an albino brother. This implies that both of Beth’s parts have type Aa. Why?b. Which of the type aa, Aa, AA could a child of Beth’s parents have? What is the probability of each type?c. Beth is not albino. What are the conditional probabilities for Beth’s possible genetic types, given this fact?
Answer:
a)
If Beth’s parents are not albino, but she has an albino brother (aa), then each parent must have the allele a. In order for someone who is not albino to be able to have an albino child of albinism, they must have type Aa.
b)
P(AA) = 0.5(0.5) = 1/4 CHANCE
P(Aa) = 0.5(0.5) = 1/4 CHANCE
P(aa) = 0.5(0.5) = 1/4 CHANCE
c)
the new probabilities are:
P(AA | not aa) = 1/3
P(Aa | not aa) = 2/3
Step-by-step explanation:
Given the data in the question;
a) Beth’s parents are not albino, but she has an albino brother. This implies that both of Beth’s parts have type Aa. Why?
If Beth’s parents are not albino, but she has an albino brother (aa), then each parent must have the allele a. In order for someone who is not albino to be able to have an albino child of albinism, they must have type Aa.
To be fully albino you must be aa and must also have at least one a as well as have a child with someone who also has has at least a.
b) Which of the type aa, Aa, AA could a child of Beth’s parents have? What is the probability of each type?
A a
A AA Aa
a aA aa
so, Since each type is equally likely, and each is inherited independently of each other then,
P(AA) = 0.5(0.5) = 1/4 CHANCE
P(Aa) = 0.5(0.5) = 1/4 CHANCE
P(aa) = 0.5(0.5) = 1/4 CHANCE
c) Beth is not albino. What are the conditional probabilities for Beth’s possible genetic types, given this fact?
First we rule out aa, since Beth is not an Albino.
the new probabilities are:
P(AA | not aa) = 1/3
P(Aa | not aa) = 2/3
What is the value of y?
Answer:
y = 25
Step-by-step explanation:
180 - 115 = x
x = 65
x + 90 + y = 180
65 + 90 + y = 180
y + 155 = 180
y = 25
Answer:
y = 25°
Step by Step explanation
Rationalize the denominator 18/3root2+1
Answer:
[tex]\dfrac{18(3\sqrt2-1)}{17}[/tex]
Step-by-step explanation:
The given expression is :
[tex]x=\dfrac{18}{3\sqrt2+1}[/tex]
We need to rationalize the denominator.
Multiplying and dividing both sides by [tex]3\sqrt2+1[/tex] as follows :
[tex]x=\dfrac{18}{3\sqrt2+1}\times \dfrac{3\sqrt2-1}{3\sqrt2-1}\\\\=\dfrac{18(3\sqrt2-1)}{(3\sqrt2)^2-1}\\\\=\dfrac{18(3\sqrt2-1)}{(18-1}\\\\=\dfrac{18(3\sqrt2-1)}{17}[/tex]
So, the answer is [tex]\dfrac{18(3\sqrt2-1)}{17}[/tex].
The number of motorcycle helmets produced in a factory each day is a function of the
number of hours (h) the assembly line is in operation that day and is given by n =
P(t) =
75t-2t^2. The cost C of producing the helmets is a function of C(n) = 7n + 1000
Answer:
C(t)=525t-14t²+1000
Step-by-step explanation:
n =P(t) =75t-2t²
C(n) = 7n + 1000
(sub in 75t-2t² for n)
C(t)=7(75t-2t²)+1000
C(t)=525t-14t²+1000
Five adult tickets and three child tickets for a movie cost £58.
Two adult tickets and eight child tickets for a movie cost £47.
Find the cost of each type of ticket.
Answer:
Step-by-step explanation:
Answer:
so for the first one the cost for all the tickets is 412
for the last one the cost is 333
Step-by-step explanation:
Question 5 (5 points)
✓ Saved
(06.02 LC)
A scatter plot is shown:
Which graph best represents the line of best fit for this scatter plot? (5 points)
Answer:
I would say the answer is 2
Step-by-step explanation: