The range of rate at which Nadia could type is given by the inequality equation 27 ≤ x ≤ 37 where x is the number of words per minute
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the total number of words typed per minute be = x
Now , the value of x is calculated by
The number of words Nadia can type = 32 words
The rate of change of words per minute = 5 words
So , Nadia can type 5 words slower or faster
So , the value of x ranges from ( 32 - 5 ) and ( 32 + 5 )
So , the value of x ranges from 27 words per minute to 37 words per minute
The inequality equation is given by
27 ≤ x ≤ 37 , where x is the number of words typed by Nadia per minute
Therefore , the inequality equation is 27 ≤ x ≤ 37
Hence , the range of the inequality equation is 27 ≤ x ≤ 37
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y = 7x + 3, if x = 3
y=24
Step-by-step explanation:
y=7*3 +3
y=21+3
y=24
The price of a car that was bought for $20,000 has depreciated 8% yearly.
Write a model to describe the value of the car.
A.f(t)=20,000(0.92)t
B.f(t)=20,000(1.92)t
C.f(t)=20,000(0.08)t
D.f(t)=20,000(1.08)t
Step-by-step explanation:
[tex] \sf{ \longmapsto \: D.f(t)=20,000(1.08)t}[/tex]
D is on side AB of triangle ABC. We know triangle ABC ~ triangle ACD and angle A = 48 degrees. If BC = CD what is angle B in degrees
Answer:4/6
Step-by-step explanation:
The measure of angle ∠B will be 66 degrees.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
D is on side AB of triangle ABC. We know triangle ABC is similar to triangle ACD and angle A = 48 degrees. If BC = CD.
∠ABC = ∠ACB = x (Isosceles triangle property)
In △ABC, the angle sum is 180°. Then we have
∠ABC + ∠ACB + ∠ABC = 180°
x + x + 48° = 180°
2x = 132°
x = 66°
Then
∠BCA = ∠BCD + ∠DCB = 66°
∠BCD = 66° − 18°
∠BCD = 48°
Now, In ΔBCD, then we have
∠BCD + ∠BDC + ∠DBC = 180°
48° + ∠BDC + 66° = 180°
∠BDC = 66°
We know that ∠BDC = ∠DBC,
∠DBC = ∠BDC
∠DBC = 66°
The measure of angle ∠B will be 66 degrees.
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Identify if the given statement is true or false.
The incenter is the point of concurrency of the altitudes of a triangle.
True or False
Answer:
false, true, false
Step-by-step explanation:
Parallel to y=1/8x; through (-8.-8)
Answer:
.
Step-by-step explanation:
Hey guys, our adviser showed us an example on how to solve the problem that is given in our module. Unfortunately, there's a part of the given example that I can't recall. So, can you explain how to get the answer? (picture above)
Given :
45x[ 4/9 = 1/5 + 1/x ]To Do :-
To multiply 45x to all the terms .Solution :-
Given that ,
45x[ 4/9 = 1/5 + 1/x ]Distributive property of Multiplication over addition ,
a( b + c ) = ab + acSo that ,
45x * 4/9 = 45x* 1/5 + 45 x * 1/x 5x * 4 = 9x + 45 20x = 9x + 45Step-by-step explanation:
As it says, multiply 45x to all the terms. This is required to get rid of fractions.
See the steps below:
45x [ 4/9 = 1/5 + 1/x]45x(4/9) = 45x(1/5) + 45x(1/x) ⇒ multiply5x(4) = 9x + 45 ⇒ simplify20x = 9x + 45 ⇒ end result without fractionsThe graph below represents the motion of a car.
What is the average speed of the car?
Answer: 2 Kilometers(km) a minute(min).
Step-by-step explanation:
If we look at the graph, the 1km and 2min meet.
Answer:
24 km/h
Step-by-step explanation:
The graphic shows 4 km in ten minutes
[tex]s=\frac{4 km}{10 min} (\frac{60 min}{1 hour}) =\frac{(4)(60)}{10} =24km/hr[/tex]
I hope this help you
MARKING BRAINLEIST IF YOUR RIGHT !!
Step-by-step explanation:
slope =3/2
that is the answer
Hurry leaving for church
Answer:
250 ft/mile
Step-by-step explanation:
.. ......................
surface of a cuboid
Answer:
148 cm2
Step-by-step explanation:
5 * 4 * 2 = 40
6 * 5 * 2 = 60
6 * 4 * 2 = 48
40 + 60 + 48 = 148
Answer:
» 148 cm²Step-by-step explanation:
T.S.A (TOTAL SURFACE AREA) OF CUBOID :
→ 2(lb + bh + lh)
( l = length, b = breadth , h = height )
→ Given :
• Length (l) = 6cm
• Breadth (b) or width = 4cm
• Height (h) = 5cm
Total Surface area of cuboid :
• 2( 6×4+ 4×5+ 5×6) cm²
• 2 ( 24 + 20 + 30 ) cm²
• 2 ( 74 ) cm²
• 148 cm²
why did j ernest wilkins jr was the first to do something significant in math
Answer:
guess hes just smart
Step-by-step explanation:
1) Find the value of x
2) Justify your answer by explaining the series of angle relationships used to prove the value of x.
Answer:
65
Step-by-step explanation:
hello dear!
suppose that y and x are the straight line.
as we know that:
115=y (reason: corresponding sides are equal in parallel lines)
now,
y + x= 180(straight angle)
now we keep the value of y i.e. 115
115+x=180
x=180-115
x=65
as there is parallel lines m and n, the angles between them i.e. corresponding angle are equal to each other .
so therefore, the value of x = 65°
hope it helps!
What is the coefficient in the expression 8−x7? Question 7 options: −7 7 17 −17
Answer:
7
Step-by-step explanation:
help i kinda get the idea but every-time i solve it i get wrong
The equation for a line is y = mx + b. where m is the slope and b is the y intercept.
The slope is -1/3 (rise: 1, run: -3)
And the y-intercept is at -4.
So the equation for the line is:
y = -1/3x - 4
And we want all the y values BELOW the line of -1/3x - 4 as well as the values on the line because it’s not dotted. So instead of equals we write:
y <= -1/3x - 4
“Y is less than or equals to -1/3x - 4” where it includes the solutions on the line, as well as any solutions below it.
y <= -1/3x - 4 is the answer
What is the mass of an object with a density of 3 g/mL and a volume of 112.5 mL? Show all work.
Answer:
337.5
Step-by-step explanation:
Based on the given conditions, formulate 3 112.5
Calculate the product or quotient: 337.5
one out of three plus 2 out of three?
ASAP HELP
Answer:
the answer is one whole or one out of one
A group of friends wants to go to the amusement park. They have no more than $280
to spend on parking and admission. Parking is $19.50, and tickets cost $33.75 per
person, including tax. Which inequality can be used to determine p, the maximum
number of people who can go to the amusement park?
Answer:
Step-by-step explanation:
5.25 + 17.75x ≤ 165
17.75x ≤ 159.75
x = 9 people (Assuming they all fit in one vehicle)
Wish You the Best in your Studies.
The number of people who can enter in the amusement park is 7.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Several buddies want to visit the theme park. They may only spend a total of $280 for parking and entrance. Tickets cost $33.75 per person, including tax, and parking is $19.50.
Let p be the number of people who can enter in the amusement park. Then the inequality is given as,
33.75p + 19.50 ≤ 280
Simplify the inequality, then the value of p is given as,
33.75p + 19.50 ≤ 280
33.75p ≤ 260.50
p ≤ 7.72
Thus, the number of people who can enter in the amusement park is 7.
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Use the graph below to find the x-and y-intercepts.
x-intercept : 2 ; y -intercept : 6
x- intercept: - 3; y-intercept : 6
X -intercept : 2 ; y -intercept : -3
X -intercept : 6; y-intercept : 2
Answer:
x-intercept : -3 and y-intercept 6
Step-by-step explanation:
x-intercept is the point where the graph crosses the x-axis.
y-intercept is the point where the graph crosses the y-axis.
If there is 15 flowers in 3 pots how many flowers are in one pot
Answer:
5 simple because 5*3 =15convert the equation 2x - 4y = 16 to slope intercept form
Answer:
y = 1/2x -4
Step-by-step explanation:
Slope intercept form is y = mx+b where m is the slope and b is the y intercept
2x-4y = 16
Subtract 2x from each side
2x-4y-2x = -2x+16
-4y =-2x+16
Divide each side by -4
-4y/-4 = -2x/-4 +16/-4
y = 1/2x -4
The slope is 1/2 and the y intercept is -4
F (x) = 3x + 7
F (-4) =
F (2) =
Answer:
f(-4)=3(-4)+7=0
f(2)=3(2)+7=13
Answer:
Step-by-step explanation:
f(x) = 3 x+7
f(x) = 3 x + 7
f(-4) = 3*-4 + 7
f(-4) = -12 + 7
f(-4) = -5
f(x) = 3 x + 7
f(2) = 3*2+7
f(2) = 6 + 7
f(2) = 13.
:f(-4) =-5 , f(2) =13
5 phần 4 cộng x bằng trừ 1 phần 2
Answer:
5
-
2..................
a red die is tosses and then a green die is tossed. what is the probability that the red die shows a six and the green die shows six?
what is the value of x in this figure
Answer:
43°
Step-by-step explanation:
the blue angle is congruent with the 80° because they are vertical angles
the red angle is 57° because 123° and 57° angles are supplementary angles
the green angle is 43° because the sum or angles in a triangle is 180°
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Eureka Math - 7th grade
>
5.8 Solve two-step equations: word problems D2Y
Tutor
Zack sold 3 of his old hockey sticks at Refreeze Secondhand Sports Shop. Before he left, he
spent $25 of his earnings on a used pair of hockey gloves. He had $71 remaining. How much
did Zack receive for each hockey stick?
Submit
$32 for each hockey stick
Step-by-step explanation:
71+25=96
96 divided by 3= 32Zack received $32 for each hockey stick he sold. He earned $96 in total from selling 3 sticks after deducting $25 for gloves, leaving him with $71.
Given that Zack sold 3 old hockey sticks and earned a total amount of money.
He spent $25 of his earnings on a pair of used hockey gloves.
After buying the gloves, he had $71 remaining.
Now, we need to find out how much Zack received for each hockey stick.
Let's assume the amount he received for each hockey stick is "x" dollars.
Total earnings from selling the hockey sticks = Number of sticks sold × Amount received per stick
Total earnings = 3x
Zack spent $25 on gloves and had $71 remaining, so we can write this equation:
Total earnings - Amount spent = Remaining money
3x - 25 = 71
Now we can solve for x (the amount received for each hockey stick):
3x - 25 = 71
Add $25 to both sides:
3x = 96
Divide both sides by 3:
x = $32
So, Zack received $32 for each hockey stick he sold.
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write the equation
it is parallel to the graph of y=-2x-10 and passes through (-1,2)
Step-by-step explanation:
y= -2x
that is the answer
BRAIN LIST
BRAIN LIST
please help
The Finance Committee: Nine members of a finance committee could not get together for an emergency meeting. However, during the next three days, each member talked to each other member on the telephone. What is the minimum number of phone calls needed to accomplish this?
The Merry-Go-Round: On a merry-go-round, 12 horses are evenly spaced on the outside perimeter. It takes four seconds for the fourth horse to reach Abe,starting when the first horse is opposite him. How long will it take the merry-go-round to go around once?
Answer:
1) How does "Abe" relate to the merry-go-round? (The problem doesn't seem to say.)
2) How many people did each person provide for? So how many dozens were brought? How many are in a dozen? So how many cookies were brought?
Step-by-step explanation:
nm the top
There are n seats on a merry- go-round. A boy takes n rides. Between each ride, he moves clockwise a certain number of places to a new horse. Each time he moves a different number of places. Find all n for which the boy ends up riding each horse.
2) So if there are n horses, first the boy could move by one place then he could move by n+1 places then by 2n+1 so on and so forth, until he moves (n−2)n+1 places, in which case he'd would have been ridden each horse only one time and taken unique number of steps, which implies that all n's satisfy given condition.
1) I don't know how to cancer this let me resheerch and ill get back to you
P>S let this be help only if you need to annotate or reword thx
6. Kori is on a road trip to Colorado, and uses the equation y = 60x+ 200 to determine the
number of miles she has driven after x hours. If she drives for a maximum of 12
hours, what is the domain of this situation?
The domain is the set of x-values for which the equation is true.
Since the maximum time is 12 hours, then the domain is less than or equal to 12.Since time can't be negative or 0, then the minimum is greater than 0. ∴ domain would be 0 < x ≥ 12Please answer this question
Answer:
Median : 11.5, or 12 if you round it up.
Mean : 10.9 rounded up 10.875 not rounded.
Hope this help's, enjoy!