Answer:
The value of the expression is, [tex]\frac{1}{x+6}[/tex].
Step-by-step explanation:
The expression is as follows:
[tex]\frac{5x^{2}+6x+1}{x^{2}+7x+6}\div (5x+1)[/tex]
Solve as follows:
[tex]\frac{5x^{2}+6x+1}{x^{2}+7x+6}\div (5x+1)=\frac{5x^{2}+6x+1}{x^{2}+7x+6}\times \frac{1}{5x+1}[/tex]
[tex]=\frac{5x^{2}+5x+x+1}{x^{2}+6x+x+6}\times\frac{1}{5x+1}\\\\=\frac{(5x+1)(x+1)}{(x+6)(x+1)}\times\frac{1}{5x+1}\\\\=\frac{1}{x+6}[/tex]
Thus, the value of the expression is, [tex]\frac{1}{x+6}[/tex].
A recipe calls for 3 cups of flour to 4 cups of sugar. Find the unit rate of flour to cups of sugar.
Answer: 0.75 cups of flour to 1 cup of sugar.
Step-by-step explanation:
From the question, we are informed that a recipe calls for 3 cups of flour to 4 cups of sugar and told to calculate the unit rate.
It simply means what we need to calculate much of flour to one cup of sugar. This will be:
= 3/4 = 0.75
Therefore, the unit rate will be:
0.75 cups of flour to 1 cup of sugar.
PLEASE HELP ME
Analia is a school district manager. Here are some details about two schools in her district for the last school year:
School A School B
Number of students 300030003000 400040004000
Number of teachers 190190190 380380380
Graduation rate 86\%86%86, percent 90\%90%90, percent
Budget per student \$10{,}500$10,500dollar sign, 10, comma, 500 \$10{,}000$10,000dollar sign, 10, comma, 000
% of students in sports club 62\%62%62, percent 68\%68%68, percent
Number of sports medals won 999 777
SAT average 120012001200 105010501050
SAT range (max-min) 900900900 700700700
Analia wants to know which school has higher academic achievements relative to the budget per student.
1) Analia thought of two different ways to define this quantity. Identify these two definitions among the following options.
Choose 2 answers:
Choose 2 answers:
(Choice A)
A
SAT average divided by budget per student
(Choice B)
B
Graduation rate divided by budget per student
(Choice C)
C
Number of sports medals won divided by budget per student
(Choice D)
D
Graduation rate divided by number of sports medals won
2) Determine which school has higher academic achievements relative to the budget per student, according to the two definitions. Did you get the same result for both definitions?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Yes. According to both definitions, School A has higher academic achievements relative to the budget per student.
(Choice B)
B
Yes. According to both definitions, School B has higher academic achievements relative to the budget per student.
(Choice C)
C
No. The definitions have opposite results.
The two different quantities to measure which school has higher academic performance are:
Graduation rate / Budget per studentSAT average / Budget per studentHow to illustrate the information?The parameters which could be used to measure academic achievement are the graduation rate of each school he SAT average of each school.
Therefore, defining the quantity to measure academic achievement relative to budget per student could be expressed as the graduation rate divided by the budget per student. It can also be the SAT average divided by the Budget per student.
Learn more about quantity on:
brainly.com/question/17270742
#SPJ1
Answer:
SAT average/budget per student and graduation rate/budget per student----No, the definitions have opposite results
Step-by-step explanation:
khan
Please help 30 points
Answer (see photo below):
I hope this helps!
Answer:
Step-by-step explanation:
First, we find the formula. Since we have a slope and only one point we can use the Slope Form, which is "y - y1 = m(x - x1)". Now to find The Slope Intercept Form.
Formula = y - y1 = m(x - x1)
Slope = 3/4 or 0.75
Point = (2,-3)
y - y1 = m(x - x1)
y - (-3) = 3/4(x - 2)
y + 3 = 3/4x - 1.5
y = 3/4x - 1.5 - 3
y = 3/4x - 4.5
Graph is shown below.
------------------------
|
V
EASY QUESTION
You are making gift bags for a school party. You have 48 pencils, 80 markers, and 64 stickers. Each gift bag will have the same number of each item. You want to use all of the items.
What is the greatest number of gift bags you can make?
Answer:
i think it is 48 because each gift bag will have the same number of each item,
so if each gift bag has 1 pencil, 1 marker, 1 sticker, we will have the greatest number of gift bags.
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
the greatest common factor of 48,80 and 64 is 16
Fast question please help
Uri wants to buy a sweatshirt that costs $16.00. If the tax is 8%, about how much will Uri need to buy the sweatshirt?
O A) $14.72
OB) $16.08
O C) $17.28
OD) $29.30
Answer:
$16.00 * (100% + 8%) = $17.28
PLS HELP I WILL GIVE YOU A GOOD BRAINLY SCORE!!!!!!!!
Answer:
I cannot see what the titles in the chart say, so cannot help.
Step-by-step explanation:
Let’s say the chart says this:
Total | Bob | George
5 dics 2 dics. 3 Discs
Unless they give you a total number, and an expression, you cannot solve for x.
What is the rate of change of y with respect to x for 9x - 11y + 2 = 0?
a. 9/11
b.2/11
c.11/9
d.2/9
Answer:
The answer is A: 9/11
Does anyone know the answer to this?
Answer:
<ABD is 73 ...work below
Step-by-step explanation:
5x + 18 + 4x +5 = 122
9x + 23 = 122
9x = 99
x = 11
no since we got x...
5(11) + 18
73
0.001 is 1/10 the value of?
Answer:
0.01
Step-by-step explanation:
A fraction is a way to describe a part of a whole. 0.001 is 1/10 the value of 0.01.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Let the value be represented by x.
x × 1/10 = 0.001
x = 0.001 × 10
x = 0.01
Hence, 0.001 is 1/10 the value of 0.01.
Learn more about Fraction:
https://brainly.com/question/1301963
#SPJ2
Delta owns a D.C. 10 airplane that has seats for 318 people. The company flies this airplane only if there are at least 96 people on the plane. Write a compound inequality to show the possible number of people on a Delta flight. Let n represent the amount of people.
Answer: n greater than or equal to 96 or n is greater than or less than 318
Step-by-step explanation:
Brainliest plz
A local grocery store makes a 6-pound mixture of trail mix. The trail mix contains raisins, sunflower seeds, and chocolate-covered peanuts. The raisins cost $3 per pound, the sunflower seeds cost $1 per pound, and the chocolate-covered peanuts cost $1.50 per pound. The mixture calls for twice as many raisins as sunflower seeds. The total cost of the mixture is $11.50. Write a system of equations for the situation and solve for the amount of each item in the trail mix.
Answer:
The mass of sunflower seeds in the mixture is 1-pound
The mass of chocolate-covered peanuts in the mixture is 3-pounds
The mass of raisins in the mixture is 2-pounds
Step-by-step explanation:
The given parameters are;
The cost per pound of raisins = $3
The cost per pound of sunflower seeds = $1
The cost per pound of chocolate-covered peanuts = $1.50
The mass of raisings in the mixture = 2 × The mass of sunflower seeds in the mixture
The total cost of the mixture = $11.50
The mass of the mixture = 6-pounds
Let x represent the mass of sunflower seeds in the mixture, and y represents the mass of chocolate-covered peanuts in the mixture, we have;
The mass of raisins in the mixture = 2 × x
The system of equation are;
2·x + x + y = 6...(1)
2·x × 3 + x × 1 + y × 1.5 = 11.50...(2)
Simplifying the above two equations give;
For equation (1), we have;
3·x + y = 6...(1)
For equation (2), we have;
7·x + 1.5·y = 11.50...(2)
Making y the subject of both formulas, gives;
For equation (1), we have;
y = 6 - 3·x
For equation (2), we have;
y = 11.50/1.5 - 7/1.5·x
Equating both equations of y, to find the common solution as follows;
6 - 3·x = 11.50/1.5 - 7/1.5·x
7/1.5·x - 3·x = 11.50/1.5 - 6
14/3·x - 3·x = 23/3 - 6
5/3·x = 5/3
x = 3/5 × 5/3 = 1
x = 1
The mass of sunflower seeds in the mixture = x = 1-pound
y = 6 - 3·x = 6 - 3 × 1 = 3
y = 3
-The mass of chocolate-covered peanuts in the mixture = y = 3-pounds
The mass of raisins in the mixture = 2 × x = 2 × 1 = 2-pounds.
Help me plzzzzzzzzzzzzzz
Answer:
Step-by-step explanation:
you can't get the answer if you don't know x
Please help! It’s already late! Help asap!
Answer:
D
Step-by-step explanation:
Question 16
7 pts
16. The ratio of the number of girls to the number of
boys in art in 7 to 4. There are 60 boys in art. How
many girls are in art? (6.4B)
Answer:
105 girls
Step-by-step explanation:
girls : boys
7 : 4
Let total number of people in art be (7 + 4)x.
4x = 60
x = 15
no. of girls = 7x = 7 x 15 = 105
This is a question on ratios and proportions. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
State whether the relation is a function: {(1,2), (2,4),(-3,-6), (0,0)). Then
explain why.
Answer:
[tex]\boxed {\boxed {\sf Yes}}[/tex]
Step-by-step explanation:
According to the definition of a function, each input must have one output.
The input is x and the output is y. Basically, for every x there can only be one y.
The relation given is:
{ (1,2) , (2,4), (-3,-6), (0,0)}
To check if it's a function, make sure each x only appears once.
The x is the first number in a point.
We see that each x (1,2,-3,0) is only listed once, so this must be a function.
Another way to check is by graphing the points and using the Vertical Line Test.
If a vertical line is drawn and crosses the function more than once at any given part of the line, it isn't a function.
The points pass the vertical line test, so this is a function.
the base salary of an employee and a 2% salary increase
I'm assuming the base salary of this employee is $25.00
25.00+2%
Convert the percent into a decimal.
0.02
Now multiply.
25.00x0.02=0.5
Now add to the base salary.
25.00+0.50=$25.50
The 2% increase was $0.50
The total is $25.50
nya
Hellppp!!! I need help with the problem that the pencil is pointing ay
Answer:
8/3
Step-by-step explanation:
[tex](-2)^{3}[/tex]÷(-3)
Remember the order of operations,
1. parenthesis
2.exponenets
3. multiplication/ division
4. addition/ subtraction
[tex](-2)^{3}[/tex]÷(-3)
= -8 / -3
= 8/3
Which equation can be used to find 75 percent of 200?
Answer:
The first equation
Step-by-step explanation:
Answer:
150
Step-by-step explanation:
75 percent *200 =
(75:100)*200 =
(75*200):100 =
15000:100 = 150
Now we have: 75 percent of 200 = 150
Question: What is 75 percent of 200?
Percentage solution with steps:
Step 1: Our output value is 200.
Step 2: We represent the unknown value with x.
Step 3: From step 1 above,200=100%
Step 4: Similarly, x=75%.
Step 5: This results in a pair of simple equations:
$200=100%(1).
x=75%(2).
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
200/x = 100% / 75%
Step 7: Again, the reciprocal of both sides gives
x/200 = 75/100
Therefore, 75% of 200 is 150
Suppose there are two lakes located on a stream. Clean water flows into the first lake, then the water from the first lake flows into the second lake, and then water from the second lake flows further downstream. The in and out flow from each lake is 500 liters per hour. The first lake contains 100 thousand liters of water and the second lake contains 200 thousand liters of water. A truck with 500 kg of toxic substances crashes into the first lake. Assume that the water is being continually mixed perfectly by the stream.
a. Find the concentration of toxic substances as a function of time in both lakes.
b. When will the concentration in the first lake be below 0.001 kg per liter?
c. When will the concentration in the second lake be maximal?
Answer:
a. For the first lake;
c = (m·t - 0.005·m·t²)/100000
For the second tank, we have;
c = m·t/200 - m·t²/80000
b. t ≈ 1.00505 hours
c. 200 hours
Step-by-step explanation:
The flow rate of water in and out of the lakes = 500 liters/hour
The volume of water in the first lake = 100 thousand liters
The volume of water in the second lake = 200 thousand liters
The mass of toxic substances that entered into the first lake = 500 kg
The concentration of toxic substance in the first lake = m₁/(100000)
Therefore, we have;
The quantity of fresh water supplied at t hours = 500 × t
The change
The change in the mass of the toxic substance with time is given as follows
dm/dt = (m - m/100000 × 500 × t)/100000
c = (m·t - 0.005·m·t²)/100000
For the second tank, we have;
c = m/100000 × 500 × t - (m/100000 × 500 × t)/200000 × 500 × t
Using an online tool, we have;
c = m·t/200 - m·t²/80000
b. When c < 0.001 kg per liter, we have m < 0.001 × 100000, which gives m < 100
Substituting gives;
0.001 = (100·t - 0.005·100·t²)/100000, solving with an online tool, gives;
t ≈ 1.00505 hours
c. For maximum concentration, we have;
c = m·t/200 - m·t²/80000
m/200000 = m·t/200 - m·t²/80000
1/200000 = t/200 - t²/80000
dc/dt = d(t/200 - t²/80000)/dt = 0
Solving with an online tool gives t = 200 hours
A rug has a length to width ratio of 5:3 and the area of the rug is 135 sq. ft. What are the dimensions of the rug?
Answer:
Length = 15 and Width = 9
Step-by-step explanation:
5:3 = 135
make 5, 5x and 3, 3x so that would be 5x*3x = 135
when you times two x's that makes x²
making 15x² = 135
Divide 15 on both sides making 135 now 9
so x² = 9
with a squared x you used a square root
√9 = 3
so x is equal to 3
then put those into 5x, 5(3) and 3x, 3(3)
thus making 15 sq. ft and 9 sq. ft
can someone help me ASAP please
Answer:
46 degrees
Step-by-step explanation:
Answer:
[tex]x = 46[/tex]
Step-by-step explanation:
First I identified that 2 of side lengths are the same, being 5. Then 88° is inbetween them, so I now know that both missing angles will be equal. This works with all triangles, if 2 sides equal the same then 2 angles will be equal.
So now we know a triangles angles always add up to be 180, so now we just subtract and divide.
[tex]180 - 88 = 92[/tex]
So now we know the sum of both missing angles so we can just divide the value in half because both angles are the same.
[tex]92 \div 2 = 46[/tex]
Now we know x=46°
triangle ABC has vertices at A (-12,-8) B (10,-6) and C (6,14. What is the midpoint of side AC of the triangle?
Step-by-step explanation:
midpoint of AC=(x¹+x²/2,y¹+y²/2)
=(-12+6/2,-8+14/2)
=(-6/2, 6/2)
=(-3,3)
Five years ago, John's age was half of the age he will be in 8 years. How old is he now?
The answer would be John is 18 years old
URGENT HELP YALL WITH THIS. I WILL MARK YOU BRAINLIEST
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex](9x + 17) +2 \times ( 5x + 15 ) + (6x - 12) = 360 \\ [/tex]
[tex]9x + 17 + 10x + 30 + 6x - 12 = 360 \\ [/tex]
[tex]9x + 10x + 6x + 17 + 30 - 12 = 360 \\ [/tex]
Collect like terms
[tex]25x + 35 = 360[/tex]
Subtract sides 35
[tex]25x + 35 - 35 = 360 - 35[/tex]
[tex]25x = 325[/tex]
Divide sides by 25
[tex] \frac{25x}{25} = \frac{325}{25} \\ [/tex]
[tex]x = 13[/tex]
Thus ;
[tex]RQ \: \: arc =2 \times (5x + 15)[/tex]
[tex]RQ \: \: arc = 10x + 30[/tex]
[tex]RQ \: \: arc = 10(13) + 30[/tex]
[tex]RQ \: \: arc = 130 + 30[/tex]
[tex]RQ \: \: arc = 160°[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
I need help with my homework
Answer:
The measure of the arc RQ is 160°
Step-by-step explanation:
In any circle, the measure of the subtended arc of an inscribed angle is twice the measure of this inscribed angleThe measure of any circle is 360°Let us use these rules to solve the question
In the given figure
∵ ∠RPQ is an inscribed angle subtended by arc RQ
∴ m of arc RQ = 2 × m∠RPQ
∴ m∠RPQ = 5x + 15
∴ m of arc RQ = 2 × (5x + 15)
→ Multiply the bracket by 2
∴ m of arc RQ = 2(5x) + 2(15)
∴ m of arc RQ = 10x + 30
∵ The measure of the circle = 360°
∵ The sum of the measures of arcs RQ, QP, and PR equals the measure
of the circle
∵ m of arc QP = 6x - 12
∵ m of arc PR = 9x + 17
→ Add them and equate the sum by 360°
∴ 10x + 30 + 6x - 12 + 9x + 17 = 360
→ Add the like terms in the left side
∵ (10x + 6x + 9x) + (30 - 12 + 17) = 360
∴ 25x + 35 = 360
→ Subtract 35 from both sides
∴ 25x = 325
→ Divide both sides by 25 to find x
∴ x = 13
→ To find the measure of arc RQ substitute x by 13 in its measure
∵ m of arc RQ = 10(13) + 30 = 130 + 30
∴ m of arc RQ = 160°
∴ The measure of the arc RQ is 160°
Peter rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 11.
Hi please answer urgently
Answer:
5+6=11
So,the probability to get 11 is 5+6
Step-by-step explanation:
Answer:
5 + 6 = 11
Step-by-step explanation:
a dice contains 6 numbers
1, 2, 3, 4, 5 and 6
Peter rolls 2 fair dice and adds the results from each.
So, 5 + 6 = 11
in fraction = 2/11
-TheUnknownScientist
A plastic ball with a volume of 19.7
cm3 has a mass of 15.8 g. Would this
ball sink or float in a container of
gasoline (density of gasoline is 0.66-
0.69 g/cm3).
Answer:
as the density of the plastic ball is greater than the density of the gasoline it sinks
Step-by-step explanation:
D = 15.8 / 19.7
D = 0.80 g / c ^ 3
0.8> (0.66-0.69)
The density of the plastic ball is greater than the density of gasoline, the ball would sink in a container of gasoline.
Given that a plastic ball with a volume of 19.7 cm³ has a mass of 15.8 g.
We need to check if the ball sink or float in a container of gasoline if the density of gasoline is 0.69 g/cm³.
To determine whether the plastic ball would sink or float in a container of gasoline, we need to compare the density of the ball with the density of gasoline.
Density is defined as the mass of an object divided by its volume. In this case, the density of the plastic ball can be calculated as:
Density of ball = Mass of ball / Volume of ball
Given that the mass of the ball is 15.8 g and the volume is 19.7 cm³, we can calculate the density of the ball:
Density of ball = 15.8 g / 19.7 cm³
Density of ball ≈ 0.8 g/cm³
Now, we can compare the density of the ball with the density of gasoline, which is stated to be between 0.66 g/cm³ and 0.69 g/cm³.
Since the density of the ball (0.8 g/cm³) is greater than the density range of gasoline (0.66-0.69 g/cm³), the ball would sink in a container of gasoline.
Learn more about Density click;
https://brainly.com/question/29775886
#SPJ6
Megan has 3 red marbles, 6 blue marbles, and 9 yellow marbles. What is the ratio of red marbles to blue marbles?
A.
(6/3) or 6:3
B.
(3/6) or 3:6
C.
(6/9) or 6:9
Answer: B. 3/6
Step-by-step explanation:
The ratio is how much of it is it. So if there’s 3 red marbles, and 6 blue, you put it so if the ratio is red to blue you’d put 3/6 let’s say it was blue to red, then you’d put 6/3.
Help me pleaseeeeeeeeeeeeeee
Answer:
it looks to be the second answer
Step-by-step explanation:
ANSWER THIS CORRECTLY AND I WILL 5 STAR U AND GIVE U POINTS AND THANK YOU
IF NOT ME AND MY CLASS WILL REPORT YOU FOR WRONG ASNWERS AND GIVE U ONE STAR
HELP ME OUT PLS :))
HAPPY THANKSGIVING ALL!
Answer:
C
Step-by-step explanation:
given:
m= -2 and (3, -1)
point-slope form: y-y1= m(x-x1)
y - (-1) = -2(x-3)
y + 1 = -2(x-3)
Answer:
C.
Step-by-step explanation:
A.) y - 1 = -2(x - 3)
y - 1 = -2x + 6
y = -2x + 6 + 1
y = -2x + 7
B.) y - 1 = -2(x + 3)
y - 1 = -2x - 6
y = -2x - 6 + 1
y = -2x - 5
C.) y + 1 = -2(x - 3)
y + 1 = -2x + 6
y = -2x + 6 - 1
y = -2x + 5
D.) y + 1 = -2(x + 3)
y + 1 = -2x - 6
y = -2x - 6 - 1
y = -2x - 7