Answer:
12 + 9r
Step-by-step explanation:
3(4 + 3r)
= 12 + 9r
Answer:
12 + 9r
Step-by-step explanation:
just multiply 3 by 4 and then 3r.
Evaluate the expression when x=-4. X^2+5x+7
Answer:
-29
= -16 + 5(-4) + 7
=16 - 20 + 7
=-29
Savannah divided 1/2 of a liter of plant fertilizer evenly among some smaller bottles. She put 1/4 of a liter into each bottle. How many smaller bottles did Savannah fill?
Answer:
2
Step-by-step explanation:
find how many fourths are in a half:
1/2 = 2/4
if there's 2/4 in a half, then she filled two bottles
have a wonderful day :)
-3x + 18 = 7x solve
Answer:
refer to the attachment
Step-by-step explanation:
hope that helps
i need help on this
please give me solving steps
trying to solve for X
Answer:
10
Step-by-step explanation:
Given is an isosceles triangle and so:
3x + 20 = 5x export like terms to the same side of the equation
20 = 5x - 3x
20 = 2x divide both sides by 2
10 = x
5x(6x2 -3x4+7x3)-20 x3 -3_x4
Answer:
[tex]30x^3-15x^5+35x^4-43[/tex]
Step-by-step explanation:
[tex]30x^3-15x^5+35x^4-43[/tex]
Use the distributive rule and distribute 5x into the brackets. Then use the order of operation rule to do what is after the brackets.
The SAT is the most widely used college admission exam. (Most community colleges do not require students to take this exam.) The mean SAT math score varies by state and by year, so the value of µ depends on the state and the year. But let’s assume that the shape and spread of the distribution of individual SAT math scores in each state is the same each year. More specifically, assume that individual SAT math scores consistently have a normal distribution with a standard deviation of 100. An educational researcher wants to estimate the mean SAT math score (μ) for his state this year. The researcher chooses a random sample of 656 exams in his state. The sample mean for the test is 480.
Find the 95% confidence interval to estimate the mean SAT math score in this state for this year.
(Note: The critical
z
-value to use,
z
c
, is: 1.960.)
( , )
Using the z-distribution, it is found that the 95% confidence interval to estimate the mean SAT math score in this state for this year is (472, 488).
We have the standard deviation for the population, which is why the z-distribution is used to solve this question.
The sample mean is [tex]\overline{x} = 480[/tex].The population standard deviation is [tex]\sigma = 100[/tex].The sample size is [tex]n = 656[/tex].The interval is given by:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
We have to find the critical value, which is z with a p-value of [tex]\frac{1 + \alpha}{2}[/tex], in which [tex]\alpha[/tex] is the confidence level.
In this problem, [tex]\alpha = 0.95[/tex], thus, z with a p-value of [tex]\frac{1 + 0.95}{2} = 0.975[/tex], which means that it is z = 1.96.
Then:
[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 480 - 1.96\frac{100}{\sqrt{656}} = 472[/tex]
[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 480 + 1.96\frac{100}{\sqrt{656}} = 488[/tex]
The 95% confidence interval to estimate the mean SAT math score in this state for this year is (472, 488).
A similar problem is given at https://brainly.com/question/22596713
please help!!! thank you so much whoever does!!
Answer:
32 lbs
Step-by-step explanation:
Given:
1/4 spicy trail mix
3/8 regular trail mix
20 total mix
Math:
1/4 + 3/8 = 5/8
20/ (5/8) = 32
Answer:
32 pounds
Step-by-step explanation:
Fraction of supply for regular trail mix= ⅜
Fraction of supply for spicy trial mix
= ¼
[tex] = \frac{2}{8} [/tex]
We multiply both the denominator and numerator by 2 for the fraction of supply used for spicy trail mix so that both fractions have a common denominator of 8. This is because the amount of raisins he has in his supply is constant.
Simplifying the above information into units form:
Total (supply)= 8 units
Regular trail mix= 3 units
Spicy trail mix= 2 units
Raisins used this week
= (3 +2) units
= 5 units
Since he used 20 pounds of raisins this week, we can equate 5 units to 20 pounds.
5 units ----- 20 pounds
Divide both sides by 5 to find how much raisins 1 unit represents:
1 unit ----- 20 ÷5= 4 pounds
Since his supply was 8 units of raisins,
8 units ----- 4(8)= 32 pounds
∴ He had 32 pounds of raisins at the beginning of the week.
The quality assurance department at a gear found that there were 3 defective gears for every 500 produced. Write this as a fraction and as a precent. Please explain
Answer:
3/500
Step-by-step explanation:
Can someone pls help me?
I WILL GIVE BRAINLIEST AND 30 POINTS
What is the slope of the line on the graph?
Enter your answer in the box.
Answer:
6
Step-by-step explanation:
(y1-y2)/(x1-x2) = (-1-5)/(0-1) = -6/-1 = 6
hope it helps!
What is the surface area of a cube if it has one side that is 40 cm
A number is first increased by 20 and then doubled. The result is 2 less than 5 times the number
set up an equation:
2(x+20) = 5x - 2
Simplify:
2x +40 = 5x - 2
Add 2 to both sides:
2x + 42 = 5x
Subtract 2x from both sides:
42 = 3x
Divide both sides by 3:
x = 42/3 = 14
The number is 14
Answer:
The answer is 14
Step-by-step explanation:
[tex]\sqrt4x -\sqrt9x\\\\[/tex]
Answer:
Step-by-step explanation:
Helpppppppp please it’s due today
Answer:
Option B, would be the correct option as she sets it in the attic window. I hope this helps you! :)
Find the equation of the line that passes through (-1,2) and is perpendicular to
y
=
1
−
2
x
.
Leave your answer in the form
y
=
m
x
+
c
Answer:
Remember that the slope of perpendicular lines are negative reciprocals of each other.
Step-by-step explanation:
y = 1 - 2x the slope is -2 the value of the x term.
So the slope of the new line using point (- 1, 2) is 1/2.
Now use y = mx + b where y = -1, x = 2, and m = 1/2 .
y = mx + b
-1 = 1/2(2) + b solve for "b", the y-intersect
-1 = 1 + b
-2 = b
The line that is perpendicular to y = 1 - 2x is y = 1/2x - 2
A line passes through the points (−6,−8) and (−3,−7). What is the equation of the line in Slope-Intercept Form?
50% more than what number is 20% less than 60% more than 10?
Answer:
Step-by-step explanation:
Let's start by decoding this :)
First lets do 60% more than 10; 16 (mental math)
Next, lets do 20% less than 16; x/16 = 80/100 (Equation)
After solving by cross multiplying & then simplifying (make sure both denominators are 100), you should get 12.8 as your final #! Hope this helped.
Solve.
4.704=y+310
Enter your answer as a decimal in the box
Answer:
-305.296
Step-by-step explanation:
Make y the subject of the equation.
If 4.704=y+310 is the given equation, the value y is -305.3
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 4.704=y+310
Four point seven zero four equal to y plus three hundred ten
We need to solve for y in the given equation.
4.704=y+310
Subtract 310 on both sides
4.704-310=y+310-310
-305.3=y
Hence, y is -305.3 for the equation 4.704=y+310
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
A popular laptop sells for $199.99. Since sales are so
good, the store raises the price by 13%. What is the cost
of the laptop after the markup?
Answer:
I believe the price after the markup would be $225.99, I hope this helps! :)
Answer:
Step-by-step explanation:
Increase % = 13%
[tex]New \ Cost = \dfrac{100+raise \ percent}{100}*199.99\\\\=\dfrac{113}{100}*199.99\\\\= 225.98\\[/tex]
v∆ABC is translated 6 units up and 3 units left to create ∆A'B'C'.
if vertex A is at (-1, 2) and vertex B is at (1, 5), then vertex A' is at and vertex B is at
Answer:
see explanation
Step-by-step explanation:
A translation of 6 units up means adding 6 to the y- coordinate
A translation of 3 units left means subtracting 3 from the x- coordinate
The translation rule is (x, y ) → (x - 3, y + 6 ) , then
A (- 1, 2 ) → A' (- 1 - 3, 2 + 6 ) → A' (- 4, 8 )
B (1, 5 ) → B' (1 - 3, 5 + 6 ) → B' (- 2, 11 )
"Unless [the three branches] be so far connected and blended
as to give to each a constitutional control over the others, the
degree of separation ... essential to a free government, can
never in practice be duly maintained." James Madison, Federalist
48
Which principle best describes what Madison is explaining?
А
checks and balances
B
popular sovereignty
С
rule of law
The sum of the interior angles of a polygon is 2700 degrees. Calculate the number of sides.
Answer:
17 sides
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here sum = 2700° , then
180°(n - 2) = 2700° ( divide both sides by 180° )
n - 2 = 15 ( add 2 to both sides )
n = 17
The polygon has 17 sides
There are 20 marbles in a bag. 16 are red. The remaining are white. What is the probability of selecting a red marble
Jessica is stacking items on a shelf she has large books that weigh 5 pounds each and medium books that weigh 3 pounds each. The shelf should hold at most 50 pounds.
Let x represent the number of large books.
Let y represent the number of medium books.
Which inequality represents the situation?
a.) 5x + 3y < 50 b.) 5x +3y ≤ 50 c.) 5x + 3y ≥ 50 d.) 5x + 3y > 50
Answer:
b) 5x +3y ≤ 50
Step-by-step explanation:
Find the 13th term of the geometric sequence 7, 21, 63, ...7,21,63,.
Answer:
3,720,087
Step-by-step explanation:
Multiply each number by 3.
Please help I don’t get the question
Answer:
I need this in essay form......
Phaeton, who has just discovered that is he is the son of the sun god, pays a visit to his father and makes a special request. In this passage consider how the author uses literary elements such as plot and language to reinforce the theme of the dangers of pride.
Solve 7!
(Need help with this in Math!)
find the value of x and y. SHOW WORK
I need help pleaseeeee
Answer:
b
Step-by-step explanation:
5 5/16
Answer:
5 and 5/16
Step-by-step explanation:
What are the domain and range of the function f(x)=3 over 4 x+5
Answer:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. The range is the set of all valid y values.
Step-by-step explanation:
