Step-by-step explanation:
Given that,
Half of Robert's piece of wire is equal to of Maria's wire i.e.
[tex]\dfrac{R}{2}=M[/tex] ....(1)
Total length of the wires = 10 feet
ATQ,
[tex]R+M=10[/tex] ....(2)
Use equation (1) in (2).
[tex]R+\dfrac{R}{2}=10\\\\\dfrac{3R}{2}=10\\\\R=\dfrac{20}{3}\\\\R=6.67\ ft[/tex]
So,
[tex]M=\dfrac{6.67}{2}\\\\M=3.33\ ft[/tex]
Hence, this is the required solution.
Show that (2, 1) is a solution of the system of equations.
x + 3y = 5,
y = –x + 3
Substitute (2, 1) into x + 3y = 5 to get "Blank"
1+32=5
1+3(2) = 5
2+31 = 5
2+(3)=5
.
Simplify the equation to get "Blank"
5=5 is true
7=7 is true
7=5 is false
33=5 is false
.
Substitute (2, 1) into y = –x + 3 to get "Blank"
1= - (2)+3
1= - (2+3)
2= - (1) +3
2=-(1+3)
.
Simplify the equation to get "Blank"
1=1 is true
1 = - 1 is false
2 = 2 is true
2 = - 2 is false
.
Answer:
1) 2+(3)=5
2) 5=5 is true
3) 1=-(2)+3
4) 1=1 is true
Step-by-step explanation:
Interpreting Algebraic Expressions
11+9k=6n
The expressions has 2 terms.
True or false?
The statement is false as the number of terms in the equation is not two
How to determine the number of terms?The equation is given as
11 + 9k = 6n
Consider an equation represented as
a + b = c
The variables a, b and c are the terms of the equation
This means that the equation 11 + 9k = 6n has the following terms
11, 9k and 6n
The number of these terms is 3
So, the equation has three terms
Hence, it is false that the equation has two terms
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Find the measure of the exterior angle
Answer:
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to the exterior angle that is supplementary to the third interior angle
for first triangle
90 + 53 = u
143 = u
for the other triangle
102 + x = 4x + 6
102 = 4x + 6 - x
102 = 3x + 6 subtract 6 from both sides
96 = 3x divide both sides by 3
32 = x
for a triangle with the lengths of its sides of 5,13 and 14, determine if it is a right angle
Answer:
it is
Step-by-step explanation:
A sample of a radioactive isotope had an initial mass of 640 mg in the year 2010 and decays exponentially over time. A measurement in the year 2014 found that the sample's mass had decayed to 440 mg. What would be the expected mass of the sample in the year 2024, to the nearest whole number?
Answer: 172
Step-by-step explanation:
Help needed , I don’t understand
Hello!
This problem is about relating parallel and perpendicular lines with a given point.
What we need to know here is that parallel lines will have equal slopes, while perpendicular lines will have opposite and reciprocal slopes.
Using this information, let's look at the first part.
We are asked to find a parallel line to the line [tex]y=6x-6[/tex] that passes through the point [tex](4,-3)[/tex].
Since we know that parallel lines have the same slope and we are given a point, we can solve for the y-intercept after setting up and equation.
[tex]y=6x+b[/tex]
[tex]-3=6(4)+b[/tex]
[tex]b=-27[/tex]
So the line would be [tex]y=6x-27[/tex].
Let's look at the second part, where we are asked to find a perpendicular line that passes through the same point.
We know that perpendicular lines have an opposite reciprocal of a slope, and using that information, we can go through the same process and solve for the equation.
[tex]y=-\frac{1}{6}x+b[/tex]
[tex]-3=-\frac{1}{6}(4)+b[/tex]
[tex]b=-\frac{7}{3}[/tex]
So the line would be [tex]y=-\frac{1}{6}x-\frac{7}{3}[/tex].
Hope this helps!
WHATS 20-11 ANSWER OR DAII
Answer:
9
Step-by-step explanation:
20-11=9
☁️ Answer ☁️
9
Take 11 away from 20
Have a nice day noona/hyung.
Determine the value of x and name the type of triangle.
8x + 2
70°
60°
The value of x
Type of triangle
8x+2+70°+80° = 180°
8x+132° = 180°
8x = 180°- 132°
x = 48°/8
Hence, x = 6
Calculate the expected value, the variance, and the standard deviation of the given random variable X. (Round all answers to two decimal places.) Twenty darts are thrown at a dartboard. The probability of hitting a bull's-eye is .2. Let X be the number of bull's-eyes hit.
expected value
variance
standard deviation
Answer:
The answer is "4.8, 3.84, and 1.96".
Step-by-step explanation:
Given:
[tex]\to p = 0.2\\\\\to q = 1 - p = 1 - 0.2 = 0.8\\\\\to n = 24\\\\[/tex]
By using the binomial distribution:
[tex]\to Mean(\mu) = n \times p = 24 \times 0.2 = 4.8\\\\\to variance (\sigma^2) = n \times p \times q = 24 \times 0.2 \times 0.8 = 3.84\\\\\to Standard \ deviation (\sigma) = \sqrt{n \times p \times q} = \sqrt{24 \times 0.2 \times 0.8} = 1.96[/tex]
Jose car rental company charges $2.75 for a pick up plus $1.25 for each mile driven. How much would you pay to travel 25 miles ? How far could you travel for $100 ? Please no link. I can't view them
Answer:
it would be 28.44 sorry if it does not help
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
<g = 129°
alternate interior angles
Step-by-step explanation:
hope this helps! :)
G is 129°
Angles g and f are vertical angles.
the image is to show why :)
I need help please.
Answer: B
Step-by-step explanation: i looked it up ans it said b how this helps :>
ABCD is a rhombus. The measure of angle <1 = 58°
true
or
false
Answer:
False
Step-by-step explanation:
In a rhombus, the diagonals are always perpendicular.
please help im stuck on this
Answer:
[tex]x = 0 \: y = - 2 \: \: \: \: x = 1 \: y = \frac{ - 13}{9} [/tex]
Answer:
X= ( 18/5 , 0)
Y= (0,-2)
Step-by-step explanation:
substitute 0 for y and solve for x
-5x+9(0) = -18
-5X + 0 = -18
-5X= - 18 - 0
-5X = -18
X = - 18/-5
X = 18/5
solve for Y
-5(0) +9y = -18
= 9y = -18
y= -2
3 x f(−4)−3 x g(−2)=
Answer:
−12+6
Step-by-step explanation:
.HELP!!!!!...............
Answer:
132 yards
because its a hexagon so all sides are the same, meaning you do 22×6 = 132
Jeremy has 5 of a pound of rice. Shaila has to of a pound of rice.
Which statement best describes the total amount of rice that Jeremy and Shaila have?
Hi, you've asked an incomplete question. The full question reads;
Jeremy has 5/6 of a pound of rice. Sheila has 7/10 of a pound of rice. Which statement best describes the total amount of rice that Jeremy and Sheila have?
a. Together they have less than 1 pound of rice because each person has less than 1/2 of a pound of rice.
b. Together they have less than 1 pound of rice because each person has less than 1 pound of rice.
c. Together they have more than 1 pound of rice because each person has less than 1 pound of rice.
d. Together they have more than 1 pound of rice because each person has more than 1/2 of a pound of rice.
Answer:
d. Together they have more than 1 pound of rice because each person has more than 1/2 of a pound of rice.
Step-by-step explanation:
Indeed, we could simply find the solution by simply bearing in mind that half a unit is represented by 0.5 ([tex]\frac{1}{2}[/tex]).
Hence, since we are told Jeremy has 5/6 (0.83), we can add it up with that of Sheila's 7/10 (0.7), which leads us to the conclusion they both have more than 1 pound of rice (0.83+0.7= 1.53 pounds of rice).
NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Answer:
a person jumping on a trampoline
Write an expression equivalent to
b10/b5
in the form bm.
Answer: M equals 7. So it would be b^7. When you multiply exponents you add them. When you divided them you subtract
Step-by-step explanation:
The equivalent expression will be b⁵.
What is an expression?Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc.
Given an expression b¹⁰/b⁵,
We need to find an equivalent expression for the same,
So,
Using the identity,
mᵃ ÷ mᵇ = mᵃ ÷ mᵇ
= m⁽ᵃ⁻ᵇ⁾
Therefore,
b¹⁰/b⁵ = b⁽¹⁰⁻⁵⁾
= b⁵
Hence, the equivalent expression will be b⁵.
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Eddie wanted to know more about how the cost of fertilizer for his lawn-care business was changing. The cost of a bag of fertilizer just increased from $10 to $15. What is the percent increase of the price?
PLEASE SAY A,B,C OR D OF THE RIGHT ANSWER ONLY PLEASE! no links or flies, x .
You cut a candy bar into 8 equal pieces. You gave 3/8 of it to your sister and 2/8 to your brother. Which equation represents the fraction of the candy bar you gave away?
3/8 – 2/8 = 1/0
3/8 + 2/8 = 5/8
3/8 – 2/8 = 1/8
3/8 + 2/8 = 5/16
Answer:
B
Step-by-step explanation:
3/8 + 2/8 = 5/8
A party rental company has chairs and tables for rent. The total cost to rent 5 chairs and
3 tables is 31$. The total cost to rent 2 chairs and 6 tables is 52$. What is the cost to rent each chair and each table?
Answer:
1 Chair= $1.25 1 table= $8.25
Step-by-step explanation:
5c+3t=31
2c+6t= 52
-2(5c+3t=31)
-10c-6t=-62
+
2c+6t=52
= -8c=-10
/-8 /-8
c= 1.25 or 1 1/4
2c+6t=52
2(1.25)+6t=52
2.5+6t=52
-2.5 -2.5
6t= 49.5
/6 /6
t= 8 1/4
Draw a circle whose radius is 3cm?
Answer:
In this problem, first we need to draw a circle of radius 3 cm having a center at point O. Now, take a point P at a distance of 5.5 cm from the center of the circle. Draw a line joining the point O and P. Now draw a perpendicular bisector of the line OP that cuts OP at M.
PLEASE HELPPP! I'LL GIVE BRAINLEST
Answer:
30 or 60 both work
Step-by-step explanation:
please make me branlest
BRAINLIEST NEED ANSWERS ASAP PLEASE
[tex]\frac{3x+2+5(x-6)}{x^{2} -36}=\frac{8x-28}{(x+6)(x-6)}[/tex]
Solve
k -4 > 3.2
A) k< -12.8
B) K< -0.8
C) k> -12.8
D) k= -12.8
Find the missing angle. Find x
Two Distinct irrational Roots
A.0
B.91
C.-25
D.1
what is vaule of y when x=4'5
Answer:
[tex]y = 2.096[/tex] or [tex]y = \frac{2\sqrt5+6}{5}}[/tex]
Step-by-step explanation:
Given
[tex]y = \frac{4}{x} + \sqrt x + 0.2 - 5x[/tex]
[tex]x = \frac{4}{5}[/tex]
Required
Find y
[tex]y = \frac{4}{x} + \sqrt x + 0.2 - 5x[/tex]
Substitute [tex]x = \frac{4}{5}[/tex]
[tex]y = \frac{4}{4/5} + \sqrt{4/5} + 0.2 - 5 * 4/5[/tex]
[tex]y = 5 + \sqrt{4/5} + 0.2 - 4[/tex]
Collect like terms
[tex]y = \sqrt{4/5} + 5 + 0.2 - 4[/tex]
[tex]y = \sqrt{\frac{4}{5}} + 1.2[/tex]
Split the surd
[tex]y = \frac{\sqrt4}{\sqrt5}} + 1.2[/tex]
[tex]y = \frac{2}{\sqrt5}} + 1.2[/tex]
Rationalize
[tex]y = \frac{2\sqrt5}{\sqrt5*\sqrt5}} + 1.2[/tex]
[tex]y = \frac{2\sqrt5}{5}} + 1.2[/tex]
Take LCM and add
[tex]y = \frac{2\sqrt5+1.2*5}{5}}[/tex]
[tex]y = \frac{2\sqrt5+6}{5}}[/tex]
or solve as:
[tex]y = \frac{2*2.24+6}{5}}[/tex]
[tex]y = \frac{10.48}{5}[/tex]
[tex]y = 2.096[/tex]
Suppose one serving of vegetables is 3/4 cup. How many servings there in 3 1/2 cups?
Explain your reasoning
Answer:
14/3 or 4.6
Step-by-step explanation:
you would do 3.5 divided by .75 (=^w^=)