Answer:
Step-by-step explanation:
(1-3)/(5-1)= -2/4 = -1/2
y - 3 = -1/2(x - 1)
y - 3 = -1/2x + 1/2
y - 6/2 = -1/2x + 1/2
y = -1/2x + 7/2
there are only blue, yellow and green cubes in a bag. there are three times as many blue cubes than yellow cubes and five times as many green cubes then blue cubes. what is the chance that Sarah will get the yellow cube in its simplest form.
Answer: 1/11
Step-by-step explanation:
Let x be no. of yellow cubes.
Blue = 2x
Green = 4 x 2x = 8x
Total cubes = x + 2x + 8x = 11x
P(yellow) = x / 11x = 1/11
Line segment AB is drawn in the coordinate plane. Carlos graphed the set of points that are the same distance from both point A and point B. What did Carlos graph?
Answer:
Carlos graphed the perpendicular bisector of the segment that joins the two points. (a line)
Step-by-step explanation:
Carlos graphed the set of points that are equidistant from both point A and point B.
Carlos graphed the perpendicular bisector of the segment that joins the two points. (a line)
You arrive at a bus stop at 1:00, knowing that the bus will arrive at some time uniformly distributed between 1:00 and 1:30. a) What is the probability that you will have to wait longer than 10 minutes
Answer:
2/3
Step-by-step explanation:
You arrived at 1:00 and longer than 10 minutes would be at 1:20 and 1:30
that is 2 chances of you waiting longer than 10 minute
can i have some help?
Answer:
36 = 6(6)
[tex]x^{2} -(6)^2[/tex]
(x+6)(x-6)
(x+6)(x-6)
use the elimination method to solve the system of equations. choose the correct ordered pair x+y=3 y=8
Answer:
(-5, 8)
Step-by-step explanation:
Step 1: Multiply 2nd equation by -1
x + y = 3
-y = -8
Step 2: Elimination
x = -5
Step 3: Find y
y = 8
Sari wrote the equivalent ratios below to convert cups to fluid ounces. StartFraction 8 fluid ounces Over 1 cup EndFraction = StartFraction question mark fluid ounces Over 9 cups EndFraction How many fluid ounces are in 9 cups? 64 fluid ounces 72 fluid ounces 80 fluid ounces 81 fluid ounces
Answer:
(B)72 fluid ounces
Step-by-step explanation:
To convert cups to fluid ounces, Sari wrote the equivalent ratios.
[tex]\dfrac{8 \text{ fluid ounces}}{1\text{ cup}} =\dfrac{\text{? fluid ounces}}{9\text{ cups}}[/tex]
Let the question mark be represented by x.
We then have:
[tex]\dfrac{8 \text{ fluid ounces}}{1\text{ cup}} =\dfrac{\text{x fluid ounces}}{9\text{ cups}}\\$Cross multiply\\x \times 1 = 8 \times 9\\x=72$ fluid ounces[/tex]
We conclude that there are 72 fluid ounces in 9 cups.
Answer:
B
Step-by-step explanation:
Jessica saved a total of $58.50 to spend on school supplies. She wants to buy one backpack for $36.25 and she wants to spend the rest on folders with paper. Each folder filled with paper costs $3.89. Select the inequality that shows how many folders filled with paper (x) Jessica can buy. A. $36.25+$3.89x≥$58.50 B. $36.25+$3.89x≤$58.50 C. $36.25x+$3.89≥$58.50 D. $36.25x+$3.89x≤$58.50
Answer:
B. $36.25+$3.89x≤$58.50
Step-by-step explanation:
It has to be less than or equal to $58.50
Answer:
$36.25+$3.89x≤$58.50
Step-by-step explanation:
Let x be the number of folders with paper Jessica buys. If Jessica buys x folders for $3.89 each, then she pays $3.89x for all x folders.
She wants to buy one backpack for $36.25, so her total buying costs
$36.25 + $3.89x
Jessica saved a total of $58.50 to spend on school supplies, then her total buying cannot exceed this sum, so the answer would be $58.50.
Please answer it in two minutes
Answer:
p = 3
Step-by-step explanation:
We have a right triangle with both legs equal, whose hypotenuse is 3 times the root of 2.
We know both legs are equal because we have identical opposite angles in this right rectangle.
If we apply the Pythagorean theorem, we obtain:
[tex]p^2+p^2=(3\sqrt{2})^2=9\cdot 2=18\\\\2p^2=18\\\\p^2=18/2=9\\\\p=\sqrt{9}\\\\p=3[/tex]
If n is the term, what is the first integer value of n where the sequence 2n² is greater than 50?
Answer:
The 6th term is first integer value of n greater then 50 in the 2n^2 sequence.
Step-by-step explanation:
2n^2 sequence:
2,8,18,32,50,72
Which is the solution to the equation 1/4x-1/8=7/8+1/2x
Answer:
x = -4
Step-by-step explanation:
Step 1: Subtract 1/2x on both sides
-1/4x - 1/8 = 7/8
Step 2: Add 1/8 on both sides
-1/4x = 1
Step 3: Divide both sides by -1/4
x = -4
Answer:
x = -4
Step-by-step explanation:
1/4x-1/8=7/8+1/2x
Add 1/8 to each side
1/4x-1/8+1/8=7/8+1/8+1/2x
1/4 x = 1 + 1/2x
Subtract 1/2x from each side
1/4x -1/2x = 1 + 1/2x -1/2x
Getting a common denominator for the x terms
1/4x -2/4x =1
-1/4x = 1
Multiply by -4
-4 * -1/4x = 1* -4
x = -4
Jessie recently drove to visit her parents who live 240240 miles away. On her way there her average speed was 2525 miles per hour faster than on her way home (she ran into some bad weather). If Jessie spent a total of 88 hours driving, find the two rates.
Answer:
The speed/rate to her parent's house is x = 75 mph
The speed/rate from her parent's house is y = 50 mph
Step-by-step explanation:
Given;
Distance to her parent's house = 240 miles
Total distance travelled (to and fro) = 240×2 = 480 miles
Total time taken t = 8 hours
On her way there her average speed was 25 miles per hour faster than on her way home (she ran into some bad weather)
Let x and y represent her speed to and from her parent's house respectively.
x = y+25 ......1
The time taken to her parent's house is;
time = distance/velocity
t1 = 240/x = 240/(y+25)
The time taken from her parent's house is;
time = distance/velocity
t2 = 240/y
Total time taken t = t1 +t2
t = 240/(y+25) + 240/y = 8
Solving for y ;
(240y + 240(y+25))/(y^2 +25y) = 8
Cross multiply;
240y + 240y+6000 = 8y^2 + 200y
480y +6000 = 8y^2 + 200y
8y^2 + 200y -480y -6000 = 0
8y^2 - 280y - 6000 = 0
Divide through by 8;
y^2 - 35y - 750 = 0
Solving the quadratic equation;
y = 50
or
y = -15
Velocity cannot be negative, so y = 50mph
From equation 1;
x = y+25
Substituting y =50
x = 50 + 25
x = 75 mph
The speed/rate to her parent's house is x = 75 mph
The speed/rate from her parent's house is y = 50 mph
What is the length of the shorter of the two chords shown?
Step-by-step explanation:
would you please attach the drawing?????
Answer:
Chord is 13
Step-by-step explanation:
Calculating the length of chords QS and TR:
QS = 9 + 4x = 9 + 4 = 13
TR = 12 + (x+2) = 12 + 3 = 15
The points on the number line represent 6.72, 6, and 6.15.
+
6
6.4
6.1
6.5
6.8
6.9
6.2
6.3
6.6
6.7
7
7
Which shows the numbers in order from least to greatest?
O 6.72, 63, 6.15
O 6.72, 6.15, 6-7
O 6.15, 6.72, 65
O 6.15, 67, 6.72
Answer:
C is the right answer for me. But im like 80% sure on that tho. Hope this helps so much! :)
Step-by-step explanation:
I need help a lot please help me
Answer:
36°.
Step-by-step explanation:
According to the question, m∠ABD is a straight angle. This means that it is a 180 degree angle.
m∠CBD and m∠ABC add up to make the straight angle, so the two measures add to be 180 degrees.
(8x + 16) + (6x - 60) = 180
8x + 6x + 16 - 60 = 180
14x - 44 = 180
14x = 224
x = 16
m∠ABC = 6x - 60
6 * 16 - 60 = 96 - 60 = 36
So, m∠ABC = 36°
Hope this helps!
Answer:
36 degrees
Step-by-step explanation:
8x + 16 + 6x - 60 = 180
14x = 224
x = 16
m<ABC = 6x-60
m<ABC = 96-60
m<ABC = 36
Determine the measure of the unknown variables.
PLEASE HELP!!! ASAP!!
(Picture included)
Answer:
First questionVertically opposite angles are equal
So
x = 75°
Second questionVertically opposite angles are equal
So
5y = 135°
Divide both sides by 5
y = 27
Hope this helps you
14 is a______of 7 and 14
Answer:
greatest common factor
Step-by-step explanation:
Mark has $9.10 to buy some fruit. He wants to buy six pounds of apples, which are $0.99 a pound and as many pounds of bananas as he can, which are $0.79 a pound. How many pounds of bananas can he buy?
Answer: 4 pounds
Step-by-step explanation:
Mark has $9.10 to buy fruits.
6 pounds of apple at $0.99 will cost $5.94
Balance 9.10 - 5.94 = 3.16
Bananas are $0.79 a pound
For $3.16, he will get
3.16 / 0.79 = 4 pounds of bananas
Determine the domain and range of the given function.
The domain is
4
The range is
2
х
-2
2.
4
-4
Answer: domain is all real numbers and range is all real numbers greater than or equal to -2
Step-by-step explanation:
Insert a digit to make numbers that are divisible by 12 if it is possible 14…4
Answer: Insert a 6. The number divisible by 12 is 1464
Step-by-step explanation: Start by dividing 12 into the first two digits.
I am using old-fashioned long division.
1 2
12 ) 14 6
-12
26. this is the remainder, The next digit has to be a number that when divided by 12 will leave a remainder, that when paired with 4, will be evenly divisible by 12.
6 is that number . When you "bring down" the 6, you will be dividing 26÷12. a 2 goes into the quotient, and in the next step 24 is subtracted from 26; the remainder is 2.
Bring down the 4 and divide 12 into 24. The result is 2 as the quotient. 2 ×12 =24 . 24- 24 is 0
1464 ÷ 12 = 122
Which of these systems of linear equations has no solution? 2 x + 8 y = 15. 4 x + 16 y = 30. 2 x minus y = 18. 4 x + 2 y = 38. 4 x + 7 y = 17. 8 x minus 14 y = 36. 4 x minus 3 y = 16. 8 x minus 6 y = 34.
Answer:
The correct answer is:
[tex]4 x -3 y = 16[/tex] and
[tex]8 x -6 y = 34[/tex] are the equations that have no solution.
Step-by-step explanation:
First of all, let us have a look at the rules for a pair of lines, that have solution or no solution.
Let the equations be:
[tex]a_1x+b_1y+c_1=0[/tex] and
[tex]a_2x+b_2y+c_2=0[/tex]
1. There exists exactly one solution:
[tex]\dfrac{a_1}{a_2}\neq\dfrac{b_1}{b_2}[/tex]
2. There exists infinitely many solutions i.e. lines are identical.
[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}[/tex]
3. There exists No solutions i.e. lines are parallel and will never intersect.
[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq\dfrac{c_1}{c_2}[/tex]
Now, let us have a look at the given pair of lines:
Option a)
[tex]2 x + 8 y = 15\\4 x + 16 y = 30.[/tex]
The ratio:
[tex]\dfrac{2}{4}=\dfrac{8}{16}=\dfrac{15}{30} = \dfrac{1}{2}[/tex]
Hence, the lines are identical, infinite solutions.
Option b)
[tex]2 x - y = 18\\4 x + 2 y = 38[/tex]
The ratio:
[tex]\dfrac{2}{4}\neq \dfrac{-1}{2}[/tex]
Hence, exactly one solution.
Option c)
[tex]4 x + 7 y = 17\\8 x -14 y = 36[/tex]
The ratio:
[tex]\dfrac{4}{8}\neq \dfrac{-7}{14}\\\dfrac{1}{2}\neq \dfrac{-1}{2}[/tex]
Hence, exactly one solution.
Option d)
[tex]4 x - 3 y = 16\\8 x - 6 y = 34.[/tex]
The ratio:
[tex]\dfrac{4}{8}= \dfrac{-3}{-6}\neq\dfrac{16}{34}\\\Rightarrow \dfrac{1}{2}= \dfrac{1}{2}\neq\dfrac{8}{17}[/tex]
Hence, There is no solution.
The correct answer is:
[tex]4 x -3 y = 16[/tex] and
[tex]8 x -6 y = 34[/tex] are the equations that have no solution.
Answer:
d
Step-by-step explanation:
If x = 6 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the equation?
Answer:
The discriminant equals to 0
Step-by-step explanation:
We have to remember our discriminant rules;
d > 0, we have 2 real roots
d = 0, we have 1 real root
d < 0, we have 2 complex roots
Left f(x)=x+1 and g(x)=1/x the graph of (f•g) (x) is shown below
Answer:
Range of the function → (-∞, 1)∪(1, ∞)
Step-by-step explanation:
Two function has been given as,
f(x) = (x + 1)
and g(x) = [tex]\frac{1}{x}[/tex]
Then (fog)(x) = f[g(x)]
Now f[g(x)] = [tex]\frac{1}{x}+1[/tex]
As shown in the graph,
Domain of the graph is (-∞, 0) ∪ (0, ∞) [Since vertical asymptote of the function is x = 0, so x = 0 will not be included in the domain]
And the range is (-∞, 1) ∪ (1, ∞) [Since horizontal asymptote is y = 1, so y = 1 will not be included in the range]
can you please explain how to solve this?
Answer:
18
Step-by-step explanation:
hello,
as this is a parallelogram we can write that BE = DE so
15x + 4 = 9x + 6
<=> 15x - 9x + 4 = 6
<=> 6x = 6 - 4 = 2
<=> x = 2/6 = 1/3
so BE = DE = 15/3+4=5+4=9
so BD = BE + DE = 9 + 9 = 18
the correct answer is 18
hope this helps
6. April works as an emergency medical technician (EMT) and is a photographer. As an EMT she earns $19 per
hour. Last week she worked t hours as an EMT and her friend paid her $100 for a photoshoot. Write an
expression to represent the total amount April earned last week.
Answer: 19t +100
Step-by-step explanation:
19t +100 where t is the number of hours she worked and the extra 100 dollars is the money she got from her friend.
Answer:
19t+100
Step-by-step explanation:
it is the amount of hours (T)*19 +100 so it is the paycheck +100 which she got from the photoshoot
By which theorem can you conclude DHF = EHG?
A. ASA
B. HL
C. SAS
D. SSS
Answer:HL
Step-by-step explanation:
By B. HL (hypotenuse and one of the leg) theorem we can conclude that DHF = EHG
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
We know the longest side of a right-angled triangle, known as the hypotenuse is always in opposition to the right angle.
According to the hypotenuse leg(HL) theorem, two right triangles are congruent if the hypotenuse and one leg of one right triangle coincide with the hypotenuse and leg side of the second right triangle.
In the given diagram DF ≅ EG and DH ≅ EH then according to HL congruency theorem DHF = EHG
learn more about congruency here :
https://brainly.com/question/7888063
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Is the following number rational or irrational? 3.14/5
Answer:
A rational number is a number that can be written in the form
p
q
, where
p
and
q
are integers and
q
≠
o
.
write seven hundred fifteen and one thousand one hundred fifty- three ten-thousandths as a decimal number
Answer:
715.1153
Step-by-step explanation:
write
seven hundred fifteen = 715
and
one thousand one hundred fifty- three = 1,153
ten-thousandths = 1/10,000 = 0.000 1
together = 0.1153
as a decimal number
So when added together
the number is
715.115 3
Answer:
715.1153
Step-by-step explanation:
PLEASE HELP!!! And please SHOW YOUR WORK! *grade 9 work*
Answer:
4028.5
Step-by-step explanation:
V=4000+4.75 (6)
V= 4000+28.5
V=4028.5
Please Vote Brainliest!
Answer: Hope this helps <3
Step-by-step explanation:
[tex]V=4000+4.75n\\\\Substitute\\V = 4000 + 4.75(6)\\\\Multiply\\\\V = 4000+28.5\\\\Add\\\\V = 4028.5[/tex]
3x + 43 = 4x + 2(4 + 2)
Answer:
x = 31
Step-by-step explanation:
[tex]3x+43=4x+2(4+2)\\\\\rightarrow 2*4=8\\\rightarrow 2*2=4\\\\3x+43=4x+8+4\\\\3x+43=4x+12\\\\3x+43-43=4x+12-43\\\\3x=4x-31\\\\3x-4x=4x-31-4x\\\\-x=-31\\\\\frac{-x}{-1}=\frac{-31}{-1}\\\\\boxed{x=31}[/tex]
Answer:
x=31
Step-by-step explanation:
first we simlify to get the simplist equation. 3x + 43 = 4x + 12. then 4x - 3x equalls and 43 - 12 equals 31.
An angle formed by two chords is?
Answer:
<ART
Step-by-step explanation:
A chord in a circle is a straight line segment whose endpoints both lie on the circle.
Some chords are TN, EI, AT, and FG (diameter, special type of chord).
EI and TN intersect at in angles <ART and <NRS (the top angles don't have a specific name for the point of intersection).
An angle formed by two chords is ∠TRI which is formed due to the intersection of chord TN and EI at point R.
What is a chord?A chord of a circle is a straight line segment whose endpoints both lie on a circular arc. If the chord passes through the center it is the diameter of the circle.
The chords in the circle are AT, TN, and EI.
Therefore, the angles that are formed due to the intersection of two chords are ∠ANT, ∠TRI, and ∠ERN.
Thus, An angle formed by two chords is ∠TRI which is formed due to the intersection of chord TN and EI at point R.
Learn more about Chord:
https://brainly.com/question/1654080