Answer:
j = 16
Step-by-step explanation:
[tex]\sqrt{j} + \sqrt{j} + 14 = 3\sqrt{j} + 10\\2\sqrt{j} + 14 = 3\sqrt{j} + 10\\3\sqrt{j} - 2\sqrt{j} = 14 - 10\\\sqrt{j} = 4\\[/tex]
Squaring both sides gives;
j = 16
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:
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
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
2 Points
Find the solution(s) to the system of equations. Select all that apply.
y = x2 - 2x-3
y = 2x - 3
O A. (0,-3)
B. (-1,0)
C. (3,0)
D. (4,5)
Answer:
A (0,-3) and D(4,5)
Step-by-step explanation:
Given system of equations
y = x2 - 2x-3
y = 2x - 3
Solution to these will be value of x for which value of y in both equation will same.
In graph, solution will point at which curve of both equation intersect each other
To solve this we will equate the two equations
[tex]x^2 - 2x-3 = 2x-3\\ =>x^2 - 2x-3 -2x + 3 = 0\\=> x^2 - 2x - 2x -3 + 3 = 0\\\=> x^2 - 4x = 0\\=>x(x-4) = 0\\Thus\\x = 0 \ or \ x-4 = 0\\x = 0 \ or \ x = 4[/tex]
Thus, value of x is 0 and 4
we will put this value in given set of equation.
y = 2x- 3
taking x = 0
y = 2*0 -3 = 0-3 = -3
one solution is (0,-3)
taking x = 4
y = 2*4 - 3 = 8-3 = 5
Another solution is (4,5).
Though , the problem is solved we will see it this value satisfies other equation or not better understanding
y = x^2 - 2x-3
taking x = 0
y = 0^2 - 2*0-3 = -3
one solution (0,-3)
taking x = 4
y = 4^2 - 2*4-3 = 16-8 -3 = 8-3 = 5
other solution (4,5)
thus, we see both equation gives same set of solution.
If the common difference of an A.P is d, find a3 – a1
Answer:
2d
Step-by-step explanation:
The n th term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference, thus
a₃ - a₁
= a₁ + 2d - a₁
= 2d
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
can i have some help?
Answer:
36 = 6(6)
[tex]x^{2} -(6)^2[/tex]
(x+6)(x-6)
(x+6)(x-6)
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)
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 $100 for a photoshoot. Write an
expression to represent the total amount April earned last week.
Answer: 19t +100
Step-by-step explanation:
19t +100 where t is the number of hours she worked and the extra 100 dollars is the money she got from her friend.
Answer:
19t+100
Step-by-step explanation:
it is the amount of hours (T)*19 +100 so it is the paycheck +100 which she got from the photoshoot
there are only blue, yellow and green cubes in a bag. there are three times as many blue cubes than yellow cubes and five times as many green cubes then blue cubes. what is the chance that Sarah will get the yellow cube in its simplest form.
Answer: 1/11
Step-by-step explanation:
Let x be no. of yellow cubes.
Blue = 2x
Green = 4 x 2x = 8x
Total cubes = x + 2x + 8x = 11x
P(yellow) = x / 11x = 1/11
Determine the measure of the unknown variables.
PLEASE HELP!!! ASAP!!
(Picture included)
Answer:
First questionVertically opposite angles are equal
So
x = 75°
Second questionVertically opposite angles are equal
So
5y = 135°
Divide both sides by 5
y = 27
Hope this helps you
Sari wrote the equivalent ratios below to convert cups to fluid ounces. StartFraction 8 fluid ounces Over 1 cup EndFraction = StartFraction question mark fluid ounces Over 9 cups EndFraction How many fluid ounces are in 9 cups? 64 fluid ounces 72 fluid ounces 80 fluid ounces 81 fluid ounces
Answer:
(B)72 fluid ounces
Step-by-step explanation:
To convert cups to fluid ounces, Sari wrote the equivalent ratios.
[tex]\dfrac{8 \text{ fluid ounces}}{1\text{ cup}} =\dfrac{\text{? fluid ounces}}{9\text{ cups}}[/tex]
Let the question mark be represented by x.
We then have:
[tex]\dfrac{8 \text{ fluid ounces}}{1\text{ cup}} =\dfrac{\text{x fluid ounces}}{9\text{ cups}}\\$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:
I need help ASAP jsnsnsbdbsbsnsnsnd
Answer:
9 comedy
12 horror
Step-by-step explanation:
First, there are 360 degrees in a circle.
Comedy = 90 degrees
Action and romance = 90 degrees combined
Horror = 120 degree
Science fiction = 60 degrees
To find sci fi : 90 +90 +120 = 300 - 360 = 60 degrees
36 students took the survey.
1/4 × 36 = 9
Horror is 120 degrees out of 360 degrees or 1/3 of the circle.
1/3 × 36 = 12
Answer: 12 students
Step-by-step explanation:
360* circle, 1 student per 10* so 120* = 12 students.
To double check, 90* = 9 students.
simplify.
I need this answer..
Solve: 1.2n+1=1-n
HELP PLS ASAP WILL GIVE BRAINLIEST IF CORRECT
Answer:
Hello!
~~~~~~~~~~~~~~~~~
1.2n+1=1-n
=
n = 0
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helped you!
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
.
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
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
One length of a rectangular garden lies along a patio wall. However, the rest of the garden is enclosed by 32 feet of fencing. If the length of the garden is twice its width, what is the area of the garden?
Answer:
128 square feet
Step-by-step explanation:
Let the perimeter of the rectangular garden be expressed as 2(L+W)
L = length of the garden
W = width of the garden
If the length of the garden is twice its width then L = 2W; W = L/2
P = 2(L+L/2)
Since the perimeter is L + 32 (One length of a rectangular garden that lies along a patio wall and the rest of the garden is enclosed by 32 feet of fencing.)
Substituting in the formula above:
32+L = 2(L+L/2)
32+L = 2L+L
32 = 2L
L = 16 feet
Since L = 2W
W = L/2 = 16/2
Width = 8 feet
Area of the garden = Length × Width
Area of the garden = 16×8
Area of the garden = 128 square feet
The area of the rectangular garden is equal to 128 square feet.
Let the length of the rectangular garden be L.Let the width of the rectangular garden be W.Given the following data:
Perimeter = 32 + L feet.Translating the word problem into an algebraic equation, we have;
The length of the garden is twice its width:
[tex]L=2W[/tex] = [tex]W=\frac{L}{2}[/tex]
The formula for perimeter of a rectangle.Mathematically, the perimeter of a rectangle is given by the formula;
[tex]P=2(L+W)[/tex]
Where:
P is the perimeter of a rectangle.L is the length of a rectangle.W is the width of a rectangle.Substituting the parameters into the formula, we have;
[tex]32+L=2(L+\frac{L}{2})\\\\32+L=2L+L\\\\32+L=3L\\\\3L-L=32\\\\2L=32\\\\L=\frac{32}{2}[/tex]
Length, L = 16 feet.
For the width:
[tex]W=\frac{L}{2}\\\\W=\frac{16}{2}[/tex]
Width, W = 8 feet.
Now, we can calculate the area of the rectangular garden:
[tex]Area = LW\\\\Area = 16 \times 8[/tex]
Area = 128 square feet.
Read more on area of a rectangle here: https://brainly.com/question/25292087
11) Forty percent of the homes constructed in the Quail Creek area include a security system. Three homes are selected at random: 1. What is the probability all three of the selected homes have a security system? 2. What is the probability none of the three selected homes have a security system? 3. Did you assume the events to be dependent or independent?
Answer:
1) Pr(all three) = 0.064
2) Pr(none) = 0.216
3) Independent event
Step-by-step explanation:
Let Probability of homes constructed in the Quail Creek area with a security system = Pr (security)
Where Pr = probability
This is a binomial distribution problem. There ate only two outcomes in this distribution: a success and a failure
Where p = success, q = failure
For n trials,
Pr(X = x) = n!/[(n-x)!x!] × p^x × q^(n-x)
Pr (security) = 40% = 0.4
p = 0.4
q = 1-p = 1-0.4 = 0.6
Numbers selected at random = n = 3
See attachment for more details on the workings.
1) Probability all three of the selected homes have a security system = Pr(all three)
Pr(all three) = 1× (0.4)³ (0.6)^0 = 0.4³
= 0.4×0.4×0.4
Pr(all three) = 0.064
2) Probability none of the three selected homes have a security system
= Pr(none)
Pr(none) = 1 × (0.4)^0 × (0.6)³
= 0.6³ = 0.6×0.6×0.6
Pr(none) = 0.216
3) The events were assumed to be independent as the selection of one house doesn't affect the outcome of the selection of another.
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]
What is the square root of 100000000?
Answer:
10,000 is the answer to ur question
Answer:
10000
Step-by-step explanation:
√100000000 = 10000
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
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
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.
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:
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
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.
How many gallons of a 20% salt solution must be mixed with 4 gallons of a 30% salt solution to make a 25% salt solution?
Answer:
4 gallons
Step-by-step explanation:
Say that g = the number of gallons of a 20% salt solution,
The first thing we want to do here is to convert each " percentage " into decimal form, to make things a bit simpler here.
( [tex]20(percent) = 0.20[/tex]
( [tex]30( percent ) = 0.30[/tex]
( [tex]25( percent ) = 0.25[/tex]
Before this mixture takes place, the 20% salt solution is associated with g, the number of gallons of a 20% salt solution. Respectively the 30% salt solution is associated with 4 gallons. After mixing the two ( g and 4 ) the 25% salt solution should be associated with g + 4. We can therefore conclude the following equation -
0.20( g )+0.30( 4 ) = 0.25( g + 4 )
And now, let us solve for " g, "
0.2g + 1.2 = 0.25g + 1
- 0.2g = - 0.2g
_________________
1.2 = 0.05g + 1
- 1 = - 1
_________________
0.2 = 0.05g,
g = 4 gallons of a 20% salt solution
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