Answers
Answer:
b=95
Step-by-step explanation:
180=34+(b-30)+(b-14)
190=2b
b=95
34+(95-30)+(95-14) = 180
Answer:
b-30+b-14+34=180
2b+4-14=180
Step-by-step explanation:
2b=190 ,b=95
Related Questions
a certain function is represented by f(x)-4^2-3x+2. what is the value of f(-2)?
Answers
Answer: -8
Step-by-step explanation:
replace x in the function with -2-4^2-3(-2)+2-16+8-8A football was kicked vertically upward from a height of 4 feet
with an initial speed of 60 feet per second. The formula
h = 4 + 60t - 16t
2
describes the ball’s height above the ground, h, in feet, t seconds
after it was kicked. Use this formula to solve Exercises 19–20.
19. What was the ball’s height 2 seconds after it was kicked?
Answers
Answer: h=60 feet
Step-by-step explanation:
h=4+60t-16t²
h(2)=4+(60)(2)-(16)(2)²
h(2)=4+120-(16)(2)(2)
h(2)=124-64
h(2)=60 feet
. Find the equation of the line passing through the points (3, 7) and (5, -1). Your answer should be in point -slope form.
Answers
y-7=-4(x-3)
find the slope first
-1-7/ 5-3= -8/2
m= -4
put the slope into the point slope formula,
y-y1=m(x-x1)
to get
y-7=-4(x-3)
Answer: m= -4 y=-4x + 19
1. What is the probability the marble is yellow? The probability it is blue? The
probability
it is red?
Answers
Answer:
What is the probability the marble is yellow? = 1/3
The probability it is blue? = 1/3
The probability it is red? = 1/3
Pls pls help whoever gets it right gets a crown
Answers
Anne and her husband are each starting a saving plan. Deshaun will initially set aside $750 and then add $165 every month to the savings. The amount A (in dollars) saved this way is given by the function A=165N+750 , where N is the number of months he has been saving. Her husband will not set an initial amount aside but will add $395 to the savings every month. The amount B (in dollars) saved using this plan is given by the function B=395N. Let T be total amount (in dollars) saved using both plans combined. Write an equation relating T to N .
Answers
The equation relating T to N is T = 560N + 750
What is a function?
A function is defined as an expression or rule that explains or compares the relationship between two variables - the dependent and the independent variable.
From the information given, we have that;
Plan A = 165N + 750Plan B = 395NT is the total amount saved using both plan A and BThis is represented as;
T = A + B
Substitute the values
T = 165N + 750 + 395N
Collect like terms
T = 165N + 395N + 750
Add like terms
T = 560N + 750
Thus, the equation relating T to N is T = 560N + 750
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Can some please help me on this? It’s due tmrw
Answers
For 21., we see that sound travels 346 meters in 1 second, so we need to multiply that by 20.
346*20=6920
21. 6,920 m
We will use this to answer number 22. We see that stone travels 5,971 m/sec, so we multiply that by 12.
5971*12=71652
22. 71,652 m
For 23 it says estimate, but I will use the actual amounts instead.
Stone: 5,971*17=101,507
Aluminum: 5,000*17=85,000
To find the amount: 101,507-85,000=16507
23. 16,507, or if you want the “estimated” answer, 17000
Emily has a job where she earns $10.25 an hour. If she worked 11.5 hours last week, how much will she earn before taxes are taken out?
100.54
113.33
117.88
121.54
135.67
None of the Above
Answers
Answer:
C. $117.88
Step-by-step explanation:
$10.25 per hour
11.5 hours worked
$10.25 * 11.5 = $117.875
round $117.875 to $117.88
C. $117.88
Solve each equation. Check your answers. -3(x-4)=2(x+8)
Answers
The solution of the given equation -3(x-4)=2(x+8) is at x = -4/5.
According to the given question.
We have a linear equation in one variable.
-3(x-4)=2(x+8).
As we know that,the linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.
Thereofre, the solution of the given equation is given by
-3(x - 4) = 2(x + 8)
⇒ -3x + 12 = 2x + 16
⇒ -3x - 2x = 16 - 12
⇒ -5x = 4
⇒ x = -4/5
We get the solution of the given equation is at x = -4/5.
Now, we can check that x = -4/5 is a solution of the given equation or not.
Therefore,
L.H.S
= -3(-4/5 - 4)
= 12/5 + 12
= (12 + 60)/5
= 72/5
Similarly,
R.H.S
= 2(-4/5 + 8)
= -8/5 + 16
= -8 + 80/5
= 72/5
So, L.H.S = R.H.S
Hence, the solution of the given equation -3(x-4)=2(x+8) is at x = -4/5.
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At a carnival, the object of a game is to throw a dart, at the board and hit region III.
a. What is the probability that it hits region I?
Answers
The probability that it hits region I is 15%.
Probability:
Probability means the possibility of the required event.
The formula for the probability is written as,
P(E) = n(E)/n(S)
Where,
P(E) is the probability of an required event
n(E) is the number of possible outcomes
n(S) is the total number of events.
Given,
At a carnival, the object of a game is to throw a dart at the board and hit region III.
Here we need to find the probability that it hits region I.
Consider the board was look like the following figure.
Then based on the given figure,
First, we have to find the total area of the board and the area of the required region.
And then we have to compare it to calculate the Probability.
So, the total area of the board is,
=> total area of the board = (10 + 30)(10 + 15)
=> total area of the board = 1000 in²
Now, the The area of the region I is
=> Area = (10)(15)
=> Area = 150 in²
Therefore, the probability that it hits region I is
=> P = 150/1000
=> P = 15/100
=> P = 15%
Therefore, the probability that it hits region I is 15%.
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Simplify by combining like terms. x(3-y) + y(x+6)
Answers
By combining the like terms, the simplified form of the expression x(3-y)+y(x+6) is 3x+6y
Given,
The algebraic expression = x(3-y)+y(x+6)
Apply distributive property and expand the term
x(3-y)+y(x+6)=3x-xy+xy+6y
Combine like terms
3x-xy+xy+6y= 3x+6y
Hence, by combining the like terms, the simplified form of the expression x(3-y)+y(x+6) is 3x+6y
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You deposit $2000 and account that earns simple interest an annual rate of 4% how long must you leave the money in the account to warn $500 in interest?
Answers
Answer:
time = 6.25 years
Step-by-step explanation:
To calculate the simple interest earned, we can use the following formula:
[tex]\boxed{I = \frac{Prt}{100}}[/tex],
where:
I = simple interest ($500)
P = principal amount ($2000)
r = interest rate (5%)
t = time (? years)
To calculate the amount of time the money must be left, we have to substitute the given values into the equation, and solve for t:
[tex]500 = \frac{2000 \times 4 \times t}{100}[/tex]
⇒ [tex]500 \times 100 = 8000t[/tex] [Multiplying both sides by 100]
⇒ [tex]50000 = 8000t[/tex]
⇒ [tex]t = \frac{50000}{8000}[/tex]
⇒ [tex]t = \bf 6.25 \ \mathrm{\bf {years}}[/tex]
Therefore, the money must be left in the account for 6.25 years to earn $500 interest.
co effiecnet? what is it
Answers
The coefficient is defined as a coefficient is a number multiplied by a variable.
We need to define the term coefficient.
What is the coefficient?A quantity or number that is combined with a variable is known as a coefficient. The variable is often multiplied by an integer, which is then printed next to it. It is assumed that the variables with no associated number have a coefficient of 1.
For example, in the expression 6x², 6 is the coefficient of x² but in the expression 2y² + 7, 2 is the coefficient of y².
In terms of a polynomial, a series, or any other expression, a coefficient is, in other words, a multiplicative factor.
Therefore, the coefficient is defined as a coefficient is a number multiplied by a variable.
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Evaluate the expression for the given values of the variables.
11(a+2b)+2(a-2b);a=-3 and b=4
Answers
The value of expression is 33
For evaluating the expression, we will keep the given values of variables in the expression. Further solving will be done according to the mathematical operators.
Rewriting the equation -
Value = 11 (a + 2b) + 2 (a - 2b)
Now keeping the values of variables in expression -
Value = 11 (-3 + 2×4) + 2 (-3 - 2×4)
Firstly solving the brackets
Value = 11 ( -3 + 8) + 2 (-3 - 8)
Value = 11 (5) + 2 (-11)
Performing multiplication
Value = 55 - 22
Performing subtraction
Value = 33
Hence, the expression for the given values of the variables is 33.
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How do you show your work to 3x-4
Answers
It should be noted that the value of to 3x-4will be -12.
How to compute the value?It should be noted that this simply has to do with multiplication.
In this case we have to multiply the values that are given.
Also, it's important note that minus multiplied by plus is minus.
Therefore, (3 × -4) = -12.
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Find point X on AB such that the ratio of AX to XB is 1:3
Answers
The point X on AB such that the ratio is 1.25 units.
XB=AX×3
AX+XB=AB
AX+(AX×3)=AB
AX×4=AB
AX×4=9
AX=2.25
X=-1+2.25
X=1.25 units
Ratio shows how often one number is contained in another. For instance, the proportion of oranges to lemons in a bowl of fruit is eight to six if there are eight oranges and six lemons (that is, 8:6, which is equivalent to the ratio 4:3). The proportions of oranges to the overall amount of fruit are 8:14 for oranges and 6:8 (or 3:4) for lemons (or 4:7).
The quantities in a ratio can be of any form, including counts of people or things, measures of lengths, weights, or times, etc.
Hence , the Coordinate in units: (2,1.25). In most contexts, both numbers are restricted to be positive.
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Find the value of c that completes the square. r^2+21r+c
Answers
Answer:
c = 110.25
(r + 10.5)²
Step-by-step explanation:
Hello!
Perfect Square Trinomial: [tex](a + b)^2 = a^2 + 2ab + b^2[/tex]
21r is basically 2 times r and b, the missing number.
Solve for b21r = 2*r*b10.5 = bThe missing number, b, would be 10.5
Now c is basically b², so we just have to simplify 10.5²:
10.5²110.25c should be 110.25 for it to be a Perfect Square Trinomial. The factored form would be (r + 10.5)².
in how many years will the population of village be 209475 from 190000 at the growth rate of 5% per annum?
Answers
Answer:
The period would be 2 years
Step-by-step explanation:
The table below shows the price of rolls at a bakery. A baker’s dozen includes 13 rolls for the price of a dozen rolls. How much money is saved by buying a baker’s dozen instead of 13 individual rolls?
Number of rolls
6
8
Baker’s dozen
Price ($)
$3.60
$4.80
$7.20
$0.55
$0.60
$0.70
$0.75
Answers
Based on the price to buy a baker's dozen, the money that the baker will save from buying a Baker's dozen instead of 13 individual rolls is $0.60.
What is the difference in cost?The price per roll is:
= 3.60 / 6
= $0.60
The price of 13 individual rolls is:
= 0.60 x 13
= $7.80
The amount saved is:
= Price of 13 rolls - Price of baker's dozen
= 7.80 - 7.20
= $0.60
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Can yall help me with this
Answers
Answer:
Step-by-step explanation:
d
At a local print shop, 20 copies can be made for $8. At this rate, how how many copies could be made for $32?
Answers
80 copies could be made from $32 at a local print shop.
What is termed as the unitary method?The unitary method determines the value of a unit followed by the value of a necessary number of units.Increases or decreases in one quantity will result in a rise or decrease in that other quantity in direct variation. For example, a rise in the amount of goods will result in a higher price.Direct variation is its inverse. When we increase one quantity, the value of some other quantity decreases.For the given question;
$8 is cost for the 20 copies.
Then,
$8 ------> 20 copies.
Divide both side by 8.
$1 -------> 20/8 copies.
For $32, multiply both side by 32.
$32 ------->32×(20/8) copies
$32 -----> 80 copies.
Therefore, 80 copies will be prepared by the amount of $32 at the local print shop.
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Write an equation in point-slope form of the line having the given slope that contains the given point.
m:-1,(-2,3)
Answers
The equation in point-slop form of the line line having the slope m=-1 and that contains the point (-2,3) is y-3=-1(x+2)
Given,
The slope m = -1
The point = (-2,3)
We know the point-slope form,
[tex]y-y_{1}=m(x-x_{1})\\[/tex]
Substitute the values in the equation
y-3=-1(x-(-2))
y-3=-1(x+2)
Hence, the equation in point-slop form of the line line having the slope m=-1 and that contains the point (-2,3) is y-3=-1(x+2)
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If the measure of an interior angle of a regular polygon is 108, what type of polygon is it?
F octagon
G hexagon
H pentagon
J triangle
Answers
An interior angle of a regular polygon has a measure of 108°. It is a 5 sided polygon known as pentagon.
What shape does the Pentagon have?
A pentagon is a flat, 2D mathematical shape with five sides and five vertices. The Greek word "pentagonos," which means "five-angled," is where the name "pentagon" originates. There are five internal angles that create corners in a normal pentagon.What do you call a shape with five sides?
The geometric shape known as a pentagon has five sides and five angles. Penta here means five, and gon means angle. One of the different kinds of polygons is the pentagon. A regular pentagon's internal angles add up to 540 degrees.Learn more about Pentagon
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The price of an item was reduced by 35 percent . The original price was $33. What is the price of the item now?
Answers
Answer:
11.55
Step-by-step explanation:
what is the quotient of 3/4÷1/5
Answers
Simplify: 31−(5−3⋅4)2+26÷4
Answers
Answer:
51.5
Step-by-step explanation:
Simplify:
31−(5−3⋅4)*2+26÷4=
31-(5-12)*2+6.5=
31-(-7)*2+6.5=
31+14+6.5=
51.5
I am struggling with 6 2/5 revolutions in 2 2/3 seconds and turning it into a unit rate
Answers
[tex]\frac{12}{5}[/tex] = [tex]2\frac{2}{5}[/tex] revolutions per second is the unit rate.
What is unit rate ?An item's unit rate is its price for one of it. This is expressed as a ratio with a one as the denominator. For instance, if you covered 70 yards in 10 seconds, you covered 7 yards on average every second. Seven yards in one second and 70 yards in ten seconds are both ratios, but only one of them is a unit rate.
1) Convert mixed fractions into fractions.
[tex]6\frac{2}{5}[/tex] = [tex]\frac{((6*5) + 2)}{5}[/tex] = [tex]\frac{32}{5}[/tex]
[tex]2\frac{2}{3}[/tex] = [tex]\frac{((2*3) + 2)}{3}[/tex] = [tex]\frac{8}{3}[/tex]
2) [tex]\frac{32}{5}[/tex] ÷ [tex]\frac{8}{3}[/tex] ; where [tex]\frac{32}{5}[/tex] is the 1st fraction and [tex]\frac{8}{3}[/tex] is the 2nd fraction
a) Find the second fraction's reciprocal:
From [tex]\frac{8}{3}[/tex] to [tex]\frac{3}{8}[/tex]
b) Multiply the first fraction by the second fraction's reciprocal, which is 32/5, 5/3, or (5/3), to get 96/40.
c) Simplify the fraction.
Divide 96 / 40 by 4 to get 24/10.
Divide 24/10 by 2, and the result is 12/5. The 96/40 simple fraction
[tex]\frac{12}{5}[/tex] = [tex]2\frac{2}{5}[/tex] revolutions per second is the unit rate.
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I don’t understand 15 through 18
Answers
Answer:
Step-by-step explanation:
15. True
16. False
17. True
18. True
Answer:
15 )true because they are opposite angles.
16) false 2 and 4 are opposite angles so should be the same value.
17 true ) because angle 4+1=180.
18 true) because the two angles make a 180 degree.
At what rate is the amount of flour decreasing?
grams per minute ???
Answers
AnAt what rate is the amount of flour decreasing? 270- 180 90- grams per minute 2. As time increases, the amount of flour in the machine increases. Time (minutes)
Your friend says the line y=-2 x+3 is perpendicular to the line x+2 y=8 . Do you agree? Explain.
Answers
I do not agree that the line y = -2x + 3 is perpendicular to the line x + 2y = 8.
Perpendicular lines are lines that form right angles at the point of intersection. The equation of the lines that are in perpendicular with each other have slopes that are negative reciprocal with one another.
If slope of A = a/b, and B is perpendicular to A, then slope of B = -b/a.
To check if the two given equation of the line is perpendicular with each other, get their slopes and see if they're negative reciprocal of one another.
Line 1 : y = -2x + 3
m = -2
slope of perpendicular line to line 1 = 1/2
Line 2 : x + 2y = 8 ⇒ 2y = -x + 8 ⇒ y = -1/2 x + 4
m = -1/2
1/2 ≠ -1/2
Since the negative reciprocal of the slope of the first line is not equal to the slope of the second line, then they are not perpendicular with each other.
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