Let the numerator be x & denominator be y then,
ATQ,
x+1/y-1=12/11
11x+11=12y-12
11x-12y+11+12=0
11x-12y+23=0....(1)
&
x+3/y-3=14/9
9x+27=14y-42
9x-14y+27+42=0
9x-14y+69=0....(2)
Multiplying eq . 1 by 9 & eq. 2 by 11
We get,
99x-108y+207=0....(3)
99x-154y+759=0....(4)
Subtracting eq. 4 by eq. 3
99x-108y+207=0
99x-154y+759=0
______________
0 + 46y - 552 =0
______________
46y= 552
________
y=552/46
________
y=12
____
putting the value of y in eq. 1,
11x-12y+23=0
11x-12*12+23=0
11x-144+23=0
11x-121=0
11x=121
x=121/11
x=11
So, y = 12 & x = 11 & the fraction is 11/12
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-lyricalblues
If geometry symbol represented as small triangle with three sides. abc geometry congruent symbol represented as two small horizontal parallel lines and a horizontal symbol s. geometry symbol represented as small triangle with three sides. dec, what is the value of x? a. x = 8 b. x = 5 c. x = 4 d. x = 1 e. x = 2
Hence, The value of x in the congruent triangles abc and dec is 1
What is geometry?the branch of mathematics concerned with the properties and relations of points, lines, surfaces, solids, and higher dimensional analogs.
How to solve?The question implies that the triangles abc and dec are congruent triangles.
The congruent sides are,
ab = de
bc = ce = 4
ac = cd = 5
The congruent side ab = de implies that,
4x - 1 = x + 2
Collect like terms,
4x - x = 2 + 1
Evaluate the like terms,
3x = 3
Divide through by 3
x = 1
Hence, the value of x is 1
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Scores on IQ tests are normally distributed, with a mean of 100 and a standard deviation of 15. What is the score such that 10 percent of people taking the test achieve a higher score
Answer:
103.75 score
Step-by-step explanation:
10 % scored higher than the mean?
50% is the mean % so we need to look for the z score corresponding to 60 % from z-score table this is z-score of .25
.25 standard deviations (which is 15) above 100 =
.25 * 15 + 100 = 103.75 score
10-2 area about the x axis. 6. Determine the moment of inertia of the composite 150 mm 1150 mm 1 100 mm 100 mm 75 mm 300 mm.
Answer:21
Step-by-step explanation:
Compute: -1 2/3 * 2 1/7
Answer:
Fraction form: -3 4/7
Decimal form: -3.57142
Step-by-step explanation:
convert mixed number to improper fractions
apply the fraction rule a/b * c/d = a * c / b * d
Factor the number
cancel the common factor
multiply the numbers
Conver improper fraction to mixed numbers
To get your final answer:
= -3 4/7
Hope this helps! :)
The diagram shows the length and width of a cell phone, and the length of a larger version of the same brand cell phone.
The lengths and widths of the two cell phones are proportional. What is the width, in inches?
[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
missing length = 2.99 in[tex]\textsf{ \underline{\underline{Steps to solve the problem} }:}[/tex]
Both the figures are similar to each other, so ratio of their corresponding sides will be equal to one another.
[tex] \qquad❖ \: \sf \: \dfrac{2.6}{5.4} = \dfrac{x}{6.21} [/tex]
( taking missing width be x )
[tex] \qquad❖ \: \sf \: x = \dfrac{1.3}{2.7} \sdot6.21[/tex]
[tex] \qquad❖ \: \sf \: x = {(1.3)}{} \sdot(2.3)[/tex]
[tex] \qquad❖ \: \sf \:x = 2.99 \: \: in[/tex]
[tex] \qquad \large \sf {Conclusion} : [/tex]
Missing side measures : 2.99 inches
I need help fast please
Answer:
4
Step-by-step explanation:
The formula is P = 2(l +w)
w = P/2 - l = 20/2 - 6 = 4m
the ratio of girl to boys is 6 2, there were 14 boys how many total members were there in the club
Answer:
The club has 56 members
Step-by-step explanation:
We can set up a ratio problem to find the total number of kids in the club. There are two ways to do this, and I will show you both. The first way is to immediately set up a ratio between the number of boys and the number of total members in the club. Since the ratio of girls to boys is 6:2, the ratio of boys to members is 2:8 (add the number of girls and boys in the ratio to get the total number of people). Now, we can set up an equation, letting x equal the number of members total, and solve using cross multiplication:
[tex]\frac{2}{8}=\frac{14}{x}\\\\ 112=2x\\\\ x=56[/tex]
The other way to solve this problem would be to figure out the number of girls in the club if there are 14 boys and then add the two quantities together. If we let y be the number of girls in the club, we get the following solution:
[tex]\frac{6}{2}=\frac{y}{14}\\\\ 2y=84\\\\ y=42\\\\x+y=56[/tex]
Either way, we get that the total number of members is 56
Write a formula for g(x) in terms of x.
The formula of g(x) is g(x) = -0.8x - 1.6
How to determine the formula of g(x)?The equation is given as:
-4x - 6 = 5y + 2
Subtract 2 from both sides
5y = -4x - 8
Divide through by 5
y = -0.8x - 1.6
Express as a function
g(x) = -0.8x - 1.6
Hence, the formula of g(x) is g(x) = -0.8x - 1.6
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work out the value of (6.8x10^3)x(1.3x10^-3) give your answer in standard form
The standard form of the expression (6.8x10³)x(1.3x10⁻³) is 8.84 × 10⁰.
What is an integer exponent?In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
We have:
Mathematical expression:
= (6.8x10³)x(1.3x10⁻³)
= 6.8x1.3
= 8.84
= 8.84 × 10⁰
Thus, the standard form of the expression (6.8x10³)x(1.3x10⁻³) is 8.84 × 10⁰.
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The length of a bridge is 230 m. The length of each of Robert's paces is 75 cm.
What is the minimum number of full paces that it would take Robert to walk the full length of the bridge?
Answer:
307 paces
Step-by-step explanation:
First, lets convert Robert's pace to metres. (cm > m)
75cm = (75/100)m
= 0.75m
Number of Full Paces = Length of Bridge / 1 Full Pace
=
[tex] \frac{230m}{0.75m} \\ = 306 \frac{2}{3} paces[/tex]
See , we must have full paces, and in this case we are finding the minimum number of paces, so we will be looking at the lowest possible whole number, which in this case, is 307 paces.
What is the answer to this
Answer: H
Step-by-step explanation:
TY:XY: = 2:5, not 3:5.
Answer:
H H H H H H H
Step-by-step explanation:
TY:XY: =2:5, NOT 3:5.
calculate f (x) = 3 - | 2 - 3x| when x = - 5
Answer: fx=−14
Step-by-step explanation:
A number cube is rolled 14 times and the results are recorded in the table. what, in simplest form, is the experimental probability that the number cube shows 4? a. 0 b. 1/6 c.2/7 d.5/14
The experimental probability is 5/14.
What is Experimental Probability?The term "probability" refers to an event's likelihood of happening. A probability has a value between 0 and 1, therefore if an occurrence is impossible, it has a probability of 0, and if it is certain, it has a probability of 1. Experimental probability is the probability that is established based on the outcomes of an experiment. The term "empirical probability" also applies to this. A probability that has been established by a series of tests is called an experimental probability. To ascertain their possibility, a random experiment is conducted and iterated over a number of times; each iteration is referred to as a trial. The goal of the experiment is to determine the likelihood that an event will occur or not.Since, 4 appeared five times over the total, The experimental probability is 5/14.
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I need help with question 3, I chose the answers that made the most sense but it keeps telling me I'm wrong?
Answer: DL, PS, SL
Step-by-step explanation:
All sides of a square are congruent.
is 30x^2 - 26x -12 a polynomial
Answer:
Yes.
Step-by-step explanation:
It is a polynomial with degree 2 ( as it has x^2 as its highest power)
What is the x-coordinate of the vertex of the parabola whose equation is y = 3x² + 9x?
o-3
o-1 1/12
o-2/3
Answer: x=-1,5.
Step-by-step explanation:
[tex]y=3x^2+9x\\\boxed {x=-\frac{b}{2a} }\\a=3,\ \ \ \ \ b=9.\\x=-\frac{9}{2*3}=-\frac{3}{2}=-1,5.[/tex]
what one is right? for this
360
Step-by-step explanation:
A rectangular garden plot measures 9 m by 5 m. Chillies are planted in a rectangular area of the garden that measures 4.5 m by 2 m. What percent of the garden is planted in chillies?
Answer:
20% of the garden is in chillies.
Step-by-step explanation:
[tex] \frac{4.5 \times 2}{9 \times 5} = \frac{9}{45} = \frac{1}{5} = 20\%[/tex]
If √5+√2=a+b√10 find a and b
Answer:
Firstly, we'll apply the below identity.
[tex]{\boxed{\sf{(a+b)^{2} = a^{2} + b^{2} +2ab}}}[/tex]
Applying the above identity.
⇒ (√5 + √2)²
⇒ (√5)² + (√2)² + 2×(√5)×(√2)
⇒ 5 + 2 + 2√10
⇒ 7 + 2√10
Comparing the LHS and RHS
⇒ 7 + 2√10 = a + b√10
∴ a = 7 and b = 2.
Area= cm2
Help me please thank you so much :)
Answer:
153
Step-by-step explanation:
The formula for a triangle is 1/2 x base x height
17 x 18 = 306
306 x 1/2 = 153
So therefore your answer would be 153.
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Calculate the slope of the line passing through the given points. If the slope is undefined, so state. Then indicate whether the line rises, falls, is horizontal, or is vertical.
(-5, 2), (-3, 6)
Answer:
Step-by-step explanation:
add 3x to 4
a. 7x
b. 7
c. 34x
d. 4+3x
PLEASE HELP I HAVE 45 min to SUBMIT WILL GIVE ANYTHING
Let's take these problems step-by-step:
To solve these problem, simply plug in the values in parentheses in front of f:
[tex]f(a) = 6a - 8\\\\f(a+h) = 6(a+h)-8=6a + 6h - 8\\\\\frac{f(a+h)-f(a)}{h} =\frac{(6a+6h-8)-(6a-8)}{h} =\frac{6a+6h-8-6a+8}{h} =\frac{6h}{6}=h[/tex]
Hope that helps!
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HELP PLEASE!) Given the circle below, find the measure of angle CDE.
Answer: 33 degrees
Step-by-step explanation:
Angles inscribed in the same arc are congruent, so
[tex]13+4x=-7+8x\\\\20+4x=8x\\\\20=4x\\\\x=5\\\\\implies m\angle CDE=-7+5(8)=33^{\circ}[/tex]
Area=
Help me please :(
Answer:
A = 18 units²
Step-by-step explanation:
MNOP is a parallelogram whose area ( A) is calculated as
A = bh ( b is the base and h the perpendicular height )
here b = 6 and h = 3 , then
A = 6 × 3 = 18 units²
help me please i dont understand
Answer:
6/5 or 1.2, they're the same value
Step-by-step explanation:
When it says "rate of change", it's really just asking for the slope. If you don't know what the slope is, essentially how much the y-value increases by whenever x increases by 1. This can be formally defined using the equation: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] which is essentially [tex]\frac{rise}{run}[/tex]. The subtraction is finding the difference between the two numbers to see how much it's changed by. Btw the order doesn't matter, I could plug in (-3, -2) as (x2, y2) or I could plug it in as (x1, y1) as long as I make sure to input it in correctly. In this example I'll just say (-3, -2) = (x1, y1) and (2, 4) = (x2, y2). Plugging these values into the equation gives you: [tex]\frac{4- (-2)}{2- (-3)} = \frac{6}{5}[/tex] that's the rate of change
HELP
Marbles: You have a bag with 3 red marbles, 4 blue marbles, and 5 green marbles. What is the probability of pulling out a red marble 3 times in a row, assuming you put each marble back into the bag before drawing another?
The probability of pulling out a red marble 3 times in a row will be 1/64.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
Marbles: You have a bag with 3 red marbles, 4 blue marbles, and 5 green marbles.
Then the probability of pulling out a red marble 3 times in a row will be
The total number of events will be
Total events = 3 + 4 + 5 = 12
The favorable event will be
Favorable event = 3
Then the probability will be
P = (3/12)(3/12)(3/12)
P = (1/4)(1/4)(1/4)
P = 1/64
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Which is bigger, a third of 45 or one-sixth c
138?
Applying the knowledge of fractions, the bigger one is: one-sixth of 138.
What are Fractions?Fractions can be defined as a part of a digit or number, and are not whole numbers. For example, a third is 1/3, one-sixth is 1/6, which are both fractions.
Therefore, let's evaluate each statement:
1/3 of 45 = 1/3 × 45 = 15
1/6 of 138 = 1/6 × 138 = 23
Therefore, the bigger of the two is: one-sixth of 138.
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help me please i am struggling
Answer:
46 cm²
Step-by-step explanation:
Find the area of the rectangle and the triangle, then subtract. Take a look at the steps to know how.
The area of the rectangle:
10×7=70
Area of triangle:
1/2×6×8=24
Subtract the area of the triangle from the area of the rectangle.
70-24=46.
The area of the new shape is 46 cm².
It is cm² because it is a 2D object.
Hope this helps!
Find x,y They have no other givens. Im not sure how to solve this.
Answer:
Step-by-step explanation: