Before leaving for his book club meeting, Larry reads the last chapter in his book. The chapter is 15 pages long and contains 1,500 words. He reads the 15 pages in 10 minutes. How many words per minute does he read?
Answer: 150 wpm
Step-by-step explanation:
if he reads 1,500 words in 10 minutes, then we simply divide 1500 by 10, in order to get how many words that he can read in one minute.
1500/10 = 150
Solve |x – 4| + 6 = 17.
A. X= 15 and x = -15
B. x= -15 and x= 7
C. x = 15 and x= -7
D. x = -15 and x = -7
Answer:
[tex]\mathrm{C)\:}x=15,\:-7[/tex]
Step-by-step explanation:
For [tex]|a-b|=c[/tex], there are two possible cases:
[tex]\begin{cases}a-b=c\\a-b=-c\\\end{cases}[/tex]
Solving for both cases, we get:
[tex]\begin{cases}x-4+6=17, \:x+2=17, \: \fbox{$x=15$}\\-(x-4)+6=17,\: -x+10=17, \: -x=7, \:, \fbox{$x=-7$}\\\end{cases}[/tex]
In parallelogram EFGH if GJ=15 find JE.
F
E
H
Answer:
15
Step-by-step explanation:
So point j is the midpoint of both of the diagonals in the parallelogram.
That means that JE=GJ
So the answer is 15
what value of x satisfies the equation?
Answer:
I don't know the answer but you can type it in on demos
Answer:
The value of x = 0
Step-by-step explanation:
Got a 5/5 on Plato
The area of a rectanglular television screen is 3456 in^2. The width of the screen is 24 inches longer thean the height what is the quadratic equation that represents the area of the screen? What are the diminsions of the screen?
Answer:
The quadratic equation representing the area of the rectangular television screen is [tex]x^2 +24x-3456=0[/tex].
Height of the rectangular television screen [tex]=48[/tex] inches, and the width of the rectangular television screen [tex]= 72[/tex] inches.
Step-by-step explanation:
Given: The area of a rectangular television screen is [tex]3456\: in^{2}[/tex]. The width of the screen is [tex]24[/tex] inches longer than the height.
To find: The quadratic equation that represents the area of the screen, and what are the dimensions of the screen?
Solution:
Let the height of rectangular television screen be [tex]x[/tex] inches, then width of the rectangular screen be [tex](x+24)[/tex] inches.
Now, we know that area of a rectangle [tex]= \text{length}\times\text{width}[/tex].
As per question,
[tex]x(x+24)=3456[/tex]
[tex]\implies x^{2} +24x=3456[/tex]
[tex]\implies x^2+24x-3456=0[/tex]
So, the quadratic equation representing the area of the rectangular television screen is [tex]x^2 +24x-3456=0[/tex].
Now, to find the dimensions, we need to solve [tex]x^2 +24x-3456=0[/tex].
[tex]x^2 +24x-3456=0[/tex]
[tex]\implies x^2 -48x+72x-3456=0[/tex]
[tex]\implies x(x-48)+72(x-48)=0[/tex]
[tex]\implies (x-48)(x+72)=0[/tex]
[tex]\implies x-48=0[/tex] or [tex]x+72=0[/tex]
[tex]\implies x=48[/tex] or [tex]-72[/tex]
Since, [tex]x[/tex] is the height of the rectangular television screen, and height cannot be negative. So, height of the television is [tex]48[/tex] inches, and width of the television screen is [tex]48+24=72[/tex] inches.
Hence, the quadratic equation representing the area of the rectangular television screen is [tex]x^2 +24x-3456=0[/tex].
Height of the rectangular television screen [tex]=48[/tex] inches, and the width of the rectangular television screen [tex]= 72[/tex] inches.
how would you find arctan without a calculator?
Answer:
Tangent Inverse Function
Step-by-step explanation:
Pls help taking finals
What is the value of w in the equation -W + 7 = 2w- 2?
Answer:
3
Step-by-Step explanation:
I just worked it out! Good luck :)
Rectangle ABCD is drawn on a grid with point A at (-3, 4), point B at (-1,4), point Cat (-1,-1) and point D at (-3,-1). If rectangle ABCD is reflected
over the line x = 2, what are the coordinates of the reflected rectangle A'B'C'D?
Options:
• A A75, 4). B'18. 4). C18.-1), D45.-1)
• B. A45.4), B (7,4), C(5.-1), D'(7.-1)
• C. A45, 4), B (7,4), C77, 1), D(5, 1)
• D. A(1,4). B(3,4), C13.-1). D'(1. -1)
Given:
The vertices of the rectangle ABCD are A(-3,4), B(-1,4), C(-1,-1) and D(-3,-1).
It is reflected over the line x=2.
To find:
The vertices of the image A'B'C'D'.
Solution:
If a figure is reflected over the line x=a, then
[tex](x,y)\to (-(x-a)+a,y)[/tex]
[tex](x,y)\to (-x+a+a,y)[/tex]
[tex](x,y)\to (-x+2a,y)[/tex]
The rectangle ABCD is reflected over the line x=2. So, the rule of reflection is
[tex](x,y)\to (-x+2(2),y)[/tex]
[tex](x,y)\to (-x+4,y)[/tex]
Using this rule, we get
[tex]A(-3,4)\to A'(-(-3)+4,4)[/tex]
[tex]A(-3,4)\to A'(3+4,4)[/tex]
[tex]A(-3,4)\to A'(7,4)[/tex]
Similarly,
[tex]B(-1,4)\to B'(5,4)[/tex]
[tex]C(-1,-1)\to C'(5,-1)[/tex]
[tex]D(-3,-1)\to D'(7,-1)[/tex]
The vertices of image are A'(7,4), B'(5,4), C'(5,-1) and D'(7,-1).
Note: All options are incorrect or not in proper format.
Ob is travelling from his home to his doctor's surgery. He walks 500m to the bus stop, he then gets on the bus. When he gets off the bus, he has to walk a further 2000mm. In total, he travels 2.5km. How many km did Bob travel on the bus?
Answer:
1.998 km
Step-by-step explanation:
From the question, we know that:
When he gets off the bus, he has to walk a further 2000mm. In total, he travels 2.5km.
We convert 2000 mm to km
1 mm =1 × 10^-6 km
2000mm = x
2000mm × 1 × 10 ^-6km
= 0.002km
Subtracting this from the total distance
2.5km - 0.002 km
= 2.498 km
1 metre = 0.001 kilometre
We convert
He walks 500m to the bus stop, he then gets on the bus.
1 metre = 0.001 kilometre
We convert 500 m to km
1 m = 0.001 km
500m = x
x = 500 × 0.001
= 0.5 km
Subtracting this from the current distance, the distance he travelled on the bus is:
2.498km - 0.5km
= 1.998 km
Therefore, he travelled 1.998 km on the bus
Asubmarine is only allowed to change its depth by rising toward the surface in 60-meter stages. It starts off at -340 meters.
1. At what depth is it after
1.1 stage
2. 2 stages
3.4 stages
2. How many stages will it take to return to the surface?
Answer:
stage 1 -280
stage 2 -220
stage 3 -160
stage 4 - 100
it takes 6 stages to return to the surface.
Step-by-step explanation:
Select the expression that represents the distance between the numbers r and p
Answer:
Option B
Step-by-step explanation:
Let's understand this problem in a simpler way,
If two points P and R represent the numbers as,
P = 2 and R = - 4
Then distance between these points will be,
P - R = -4 - 2 Or R - P = 2 - (-4)
= -6 Or R - P = 6
= ±6
But the distances are always positive so 6 will be the answer.
That's why we represent the distances between two points as,
|P - R| (Absolute value of the difference)
Option B is the answer.
Someone help with this please
Answer:
the answer is discrete
this is because Jude's debt is increasing over time, and his debt is increasing because his friend keeps on handing him $5 every weekend
Step-by-step explanation:
The radius of the circle above is 39 mm. What is the circumference of the circle? (Use a = 3.14.)
Answer:
244.92mm
Step-by-step explanation:
if we say circumference=2*pi*r then we have circumference=2*3.14*39=244.92
so to find the circumferene the formula is pi r 2
a= 3.14 x 39 x 2
a= 244.92 (my teacher tells us to round it to the decimal place of the question, if your teacher says that too here's the answer 245mm)
sorry i took long i selpt while doin this
The Barbers are keeping track of their family energy costs. It costs the Barber $0.16 per week to run their dishwasher. How much will it cost them to run their dishwasher for 52 weeks
Answer:
$8.32
Step-by-step explanation:
You just multiply 0.16 with 52
is 4x5 equivalent to 4x+9
Hurry hurry
No it is not equivalent
Answer: yes
Step-by-step explanation:
Determine the smallest integer value of x in the solution 4x-9 ≥ 17
Answer:
6.5
Step-by-step explanation:
calculator
Answer:
7 is the smallest integer value
plz brainliestt
Step-by-step explanation:
4x>_ 26
x>_6.5
Need help asap please help
Answer:
option 1
Step-by-step explanation:
Help meh please sweet hoomans
Answer:
16) The ratios [tex]\frac{5}{27},\frac{3}{16.2}[/tex] are proportional.
17) The ratios [tex]\frac{34}{9},\frac{25}{7}[/tex] are not proportional.
Step-by-step explanation:
we need to determine if the ratios form the proportions.
16) [tex]\frac{5}{27},\frac{3}{16.2}[/tex]
If the ratios are proportional, their cross product will be equal. i.e. [tex]\frac{a}{b}=\frac{c}{d}[/tex]
So, finding cross product and checking:
[tex]\frac{5}{27}=\frac{3}{16.2}\\5(16.2)=3(27)\\81=81[/tex]
Since the cross product is equal i.e. 81=81 so, the ratios are proportional.
The ratios [tex]\frac{5}{27},\frac{3}{16.2}[/tex] are proportional.
17) [tex]\frac{34}{9},\frac{25}{7}[/tex]
If the ratios are proportional, their cross product will be equal. i.e.
[tex]\frac{a}{b}=\frac{c}{d}\\ad=cb[/tex]
So, finding cross product and checking:
[tex]\frac{34}{9}=\frac{25}{7}\\7(34)=25(9)\\238\neq 225[/tex]
Since the cross product is not equal i.e. 238≠225 so, the ratios are not proportional.
The ratios [tex]\frac{34}{9},\frac{25}{7}[/tex] are not proportional.
If you could help I would really appreciate it, but if not that’s fine. Thank you.
Answer:
Option C is correct answer.
Step-by-step explanation:
We need to draw the graph of piece wise function
[tex]f(x)\[ \begin{cases} -2-x & if\:x\leq 1 \\ -3+2x & if\: x>1 \end{cases}\][/tex]
So, for drawing the graph, we will find values of f(x) for both the given equations.
First finding f(x) for [tex]-2-x \:\: if\:x\leq1[/tex]
The value of x must be less than or equal 1
x f(x)
1 -3
0 -2
-1 -1
-2 0
-3 1
-4 2
The graph will start from closed circle because x ≤ 1
Now, finding values of f(x) for [tex]-3+2x\: if\:x>1[/tex]
The value of x must be greater than 1
x f(x)
2 1
3 3
4 5
5 7
The graph will start from open circle because x> 1
Now, plotting these numbers we will get graph of Option C.
Option C is correct answer.
FIRST ONE TO GIVE ME A CORRECT ANSWER GETS BRAINLIEST
Answer:
y-4=5
add 4 on both sides
you get y = 9
replace y with 9
9 - 4 = 5
final answe is 5=5
Please solve
16 > -8 + x
Answer:
3
Step-by-step explanation:
3x18>=3=3
Answer:
x < 24?
Step-by-step explanation:
Hola chicos, solo necesito ayuda con la vida. Solo bromeaba o lo estoy?
Answer:
no sé eres tú
Step-by-step explanation:
Find the value of x.
Answer:
110 degrees
Step-by-step explanation:
The sum of all the interior angles of a polygon is always equal to 180(n-2) where n is the number of sides. In this figure, there are 7 sides. This means that the sum of all the interior angles is 180(7-2) = 180 * 5 = 900.
Now, add up all the angles that you know and subtract that from 900 to find the value of x.
900 - (105 + 150 + 140 + 135 + 125 + 135) = 900 - 790 = 110 degrees
Please please help me!!!!
9514 1404 393
Answer:
yy+8y-2Step-by-step explanation:
We presume the question is equivalent to asking for the factors of the trinomial. We notice that y is a factor of every term, so ...
volume = y(y² +6y -16)
Now, we're looking for factors of -16 that have a sum of +6.
-16 = (-1)(16 = (-2)(8) = (-4)(4)
The factors -2 and 8 have a sum of +6, so we can factor the trinomial completely as ...
volume = y(y -2)(y +8)
The possible dimensions are y-2, y, and y+8.
If angle A =90 degree , b=1 cm and a =2 cm then solve the following right angled triangle ABC
Answer:
Angle A = 90 degrees, side a = 2.Angle B = 30 degrees, side b = 1.Angle C = 60 degrees, side c = [tex]\sqrt{3}[/tex].Side c:
If angle A is 90 degrees, side a is the hypotenuse.[tex]c^{2} + b^{2} = a^{2}[/tex] <--- this is NOT the correct way to write the Pythagorean theorem. I changed it to fit the side lengths. Normally, it is [tex]a^{2} + b^{2} = c^{2}[/tex], where c is the hypotenuse. Since a is the hypotenuse, I switched the variables.[tex]c^{2} + (1)^{2} = (2)^{2}[/tex] [tex]c^{2} + 1 = 4[/tex] [tex]c^{2} = 3[/tex][tex]c = \sqrt{3}[/tex]Finding the angles:
In a 30-60-90 right triangle, the...Shortest leg = xLongest leg = [tex]x\sqrt{3}[/tex] Hypotenuse = 2x In this case, the shortest leg is 1, the longer leg is [tex]\sqrt{3}[/tex] (or [tex]1*\sqrt{3}[/tex]), and the hypotenuse is 2 (or [tex]2*1[/tex]).As a result, this is a 30-60-90 triangle -- angle B is 30 degrees while angle C is 60 degrees.Question 2
5x + 2y = 4
9x + 2y = 12
Answer:
x-intercept(s): ( 4 3 , 0 ) y-intercept(s): ( 0 , 6 )
Step-by-step explanation:
Step-by-step explanation:
5x+2y =4
5x= 4-2y
x= 4-2y/5
Pls help due ASAP....
Pls show workings.
Answer:
We can conclude that the distance from Sandy's Hotel to Trader Joes' Store is:
d = 8.06 milesStep-by-step explanation:
From the coordinate plane, we can clearly identify that:
Sandy's Hotel is located at the point (-8, 9)Trader Joes' Store is located at the point (-4, 2)The distance from Sandy's Hotel to Trader Joes' Store can be calculated such as:
[tex]d=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
The distance between (-8, 9) and (-4, 2)
[tex]d=\sqrt{\left(-4-\left(-8\right)\right)^2+\left(2-9\right)^2}[/tex]
[tex]=\sqrt{\left(-4+8\right)^2+\left(2-9\right)^2}[/tex]
[tex]=\sqrt{4^2+7^2}[/tex]
[tex]=\sqrt{16+49}[/tex]
[tex]=\sqrt{65}[/tex]
[tex]=8.06[/tex] miles
Therefore, we can conclude that the distance from Sandy's Hotel to Trader Joes' Store is:
d = 8.06 milesWhich expression is the same as (2a + b)3?
A. 893 +63
B. 8a3 + 4a2b + 2ab2 + b3
O C. 8a + 4a²b + 4ab2 + b3
O D. 8a+ 12a²b + 6ab2 + b3
PLSSS HURRY
Answer:
B 8a3+4a2b+2ab2+b3
Step-by-step explanation:
2PM 6is the
Mrs. Kidd took her two children to a waterpark for summer fun. An adult ticket cost $32 and the total price of admission for Mrs. Kidd's family was $84. How much was a child's ticket?
Is this relation a function? justify your answer
Check image
A
B
C
D
Answer: No C
Step-by-step explanation:
The x values of the coordinates cannot repeat.
Using a straight line test, a straight line can be drawn vertically on the x axis point of 4.