Elena is binding a small booklet with a spine that is 21/4 inches long. She uses staples that are 7/16-inch long. If she puts the staples end-to-end through the booklet, without gaps or overlaps between them, how many staples would it take to bind the booklet?
Answer:
12 staples
Step-by-step explanation:
So the first thing we have to do is find the G.C.D (Greatest Common Denominator) between 21/4 and 7/16 which of course is 16 so your new fractions would be 84/16 and 7/16.
Now we have to divide both numbers I just used a fraction calculator for this but basically you multiply 84/16 by the reciprocal of 7/16 which is 16/7 and simplify which equals 12.
So it would take 12 staples to bind the booklet
Need help
Given u = ⟨root3, -1⟩ and v = ⟨3, –4⟩, what is u · v?
Answer:
3[tex]\sqrt{3}[/tex] + 4
Step-by-step explanation:
If u = < x₁, y₁ > and v = <x₂ , y₂ > , then
u • v = x₁x₂ + y₁y₂
Given
u = < [tex]\sqrt{3}[/tex], - 1 > and v = < 3, - 4 >, then
u • v = 3[tex]\sqrt{3}[/tex] + (- 1)(- 4) = 3[tex]\sqrt{3}[/tex] + 4
Expanding each integer in the expression 21 × 12, the result is [(2 × 101) + (1 × 100)] × [(1 × 101) + (2 × 100)]. Replace the 10s with x’s and then multiply this expression using FOIL. Compare it with the normal integer multiplication method used above: How are they similar? Show your work.
bxjabcbkbkebwjbckjwStep-by-step explanation:
Answer:
this is step up very weird could you set it up a bit clearer?
Step-by-step explanation:
pleaase answer brainlest to anyone
Answer:
Put an open circle at h= 75.5
Draw an arrow at the circle going to the right.
Solve for x in the equation x2 + 4x-4-8.
O x= -6 or x = 2
O x=-2+2V2
O x = -2 or x = 6
O x=2+25
Answer:
O x = - 6 or x = 2
Step-by-step explanation:
x² + 4x - 4 - 8 = 0
x² + 4x - 12 = 0
x² + 6x - 2x - 12 = 0
x(x + 6)x - 2(x + 6) = 0
(x + 6) (x - 2) = 0
x + 6 = 0 or x - 2 = 0
x = - 6 or x = 2
Thus, x = - 6 or x = 2
-TheUnknownScientist
UREGENT‼️‼️
4. Find the slope of the line that passes
through the following pairs of points:
Answer:
A.-8 B.1/10
Step-by-step explanation:
a. -75--51=-24
10-7=3
-24/3=-8
b. 12.5-10.5=2
25-5=20
2/20=1/10
Which pair shows equivalent expressions?
A. 2x + 10 = -2(x - 5)
B. -2(x + 5) = 2x -10
C. -2x - 10 = -2(x + 5)
D. -2(x - 5) = -2x - 10
Answer:
It's C
Step-by-step explanation:
When you multiply - 2 to what you have in the brackets you get - 2x - 10
Hope this helps, have a wonderful day
HELP MEE!!! Make sure to simply please
Answer:
YOUR CAMERA IS BAD I CANT SEE ANYTHING
Step-by-step explanation:
Answer:
1/5
Step-by-step explanation:
Laurie had three $2 off coupons for the mini-golf course, but everybody else had to pay $9 per person, the full price. What was the total cost for their group of 8 to play mini-golf?
A: $51
B:$62
C:$63
D:$66
Answer:
D
Step-by-step explanation:
9x8=71
2x3=6
71-6=66
Answer:
D $66
Step-by-step explanation:
So first we need to figure how much money she was able to deduct from the three $2 coupons. Remember the original price is $9
3×2=6 (which means she can get $6 off of the original price $9.)
9-6= 3 (So now she only has to pay $3 while the other seven people in her group pays the original price $9.)
9×7= 63 (So $9 for the 7 other people equals $63. That is how much they are paying. Now let's add Laurie's amount!)
63+3=66 (So altogether everyone including Laurie is paying $66.)
So the final answer is $66
(I hope this helps you! Have a wonderful day everyone!)
:)
ASAP WILL GIVE BRANLIEST !!!!!!!!!
Answer:
6[tex]\sqrt{5}[/tex]-4[tex]\sqrt{7}[/tex]
Step-by-step explanation:
3[tex]\sqrt{5} -2\sqrt{7} +3\sqrt{5} -\sqrt{28}\\6\sqrt{5}-2\sqrt{7} -2\sqrt{7} \\6\sqrt{5}-4\sqrt{7}\\=2.8334[/tex]
Answer:
The 3rd one!
Step-by-step explanation:
Pls give brainliest i rlly rlly need it—..
You start at (-3, 0). You move right 4 units and up 1 unit. Where do you end?
Answer:
(1, 1)
Step-by-step explanation:
What is the measure of angle T in this triangle? Enter your answer as a decimal in the box. Round only your final answer to the hundredths place. m∠T= ° A right triangle, T R S. Hypotenuse is labeled 68 m. The shorter leg is labeled 32 m. The longer leg is labeled 60 m. The right angle is at angle S. Angle R is across from the 60 m side. Angle T is across from the 32 m side.
Answer:
Hey homie
Step-by-step explanation:
Here you are ;)
The measure of the angle ∠STR of the right-angle triangle ΔTSR will be 28.07°.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The hypotenuse is named 68 m. The more limited leg is named 32 m. The more drawn-out leg is named 60 m. The right point is at point S. Point R is opposite the 60 m side. Point T is opposite the 32 m side.
The measure of the angle ∠STR of the right-angle triangle ΔTSR is calculated as,
Let 'x' be the angle ∠STR. Then the equation is given as,
sin x = 32 / 68
Simplify the equation, then we have
sin x = 32 / 68
sin x = 0.470588
x = sin⁻¹(0.470588)
x = 28.07°
The measure of the angle ∠STR of the right-angle triangle ΔTSR will be 28.07°.
More about the right-angle triangle link is given below.
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In AFGH, the measure of ZH=90°, the measure of ZF=18°, and GH = 9.4 feet. Find
the length of HF to the nearest tenth of a foot.
Answer:
20.9 feet
Step-by-step explanation:
i really hope this helps and have a good day
Which of these is not a unit for measuring weight?
A
ton
B.
gallon
С
ounce
D
pound
The graph of a function is shown:
scatter plot of the points negative 5, 4 and negative 2, negative 1 and negative 1, 3 and 4, negative 3
Which of the following correctly identifies the set of outputs?
{–3, –1, 3, 4}
{–5, –2, –1, 4}
{(–5, 4), (–2, –1), (–1, 3), (4, –3)}
{(4, –5), (–1, –2), (3, –1), (4, –3)}
Answer:
{–3, –1, 3, 4}
Step-by-step explanation:
Answer:
the following correctly identifies the set of outputs?
{−3, −1, 3, 4}
Step-by-step explanation:
T divided by -4 equals nine
Answer:
54
Step-by-step explanation:
please help ill give brainleist
What is an equation of the line that passes through the point(2,−5) and is parallel to the line 6x+y=66x+y=6?
Answer:
An equation of the line that passes through the point(2,−5) and is parallel to the line 6x+y=6 is:
[tex]y=-6x+7[/tex]Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
Given the equation
[tex]6x+y=6[/tex]
Writing in the slope-intercept form of the line equation
[tex]y = -6x + 6[/tex]
comparing with the slope-intercept form of the line equation
y = mx+b
Thus, the slope of line = m = -6
We know that the parallel lines have the same slopes.
Thus, the slope of the parallel line is also -6.
As the line passes through the point (2,−5).
Thus, using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope and (x₁, x₂) is the point
substituting the values m = -6 and the point (2,−5)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - (-5) = -6 (x - 2)[/tex]
[tex]y+5=-6\left(x-2\right)[/tex]
subtract 5 from both sides
[tex]y+5-5=-6\left(x-2\right)-5[/tex]
[tex]y=-6x+7[/tex]
Therefore, an equation of the line that passes through the point(2,−5) and is parallel to the line 6x+y=6 is:
[tex]y=-6x+7[/tex]Help please help help
Answer:
7+x
Step-by-step explanation:
the prefix bi means two there for two variables just like in the word bicycle which means two wheels
Convert the following equations from point-slope form to slope-intercept form.
9) y – 4 = 3(x – 1)
10) y – 1 = -4(x – (-3))
We need to solve both for y.
#9:
[tex]y - 4 = 3(x - 1)\\\\y - 4 = 3x - 3\\\\y = 3x + 1[/tex]
#10:
[tex]y - 1 = -4[x - (-3)]\\\\y - 1 = -4(x + 3)\\\\y - 1 = -4x - 12\\\\y = -4x - 11[/tex]
six celebrity starring in a popular sitcom that has a 12-show season of each page $750,000 per episode additional cost of producing a sitcom total $275,000 per episode. A 12- show reality series cost $350,000 so produce each episode. What is the difference between the total cost to produce the sitcom and the reality series?
Answers: A is $53,100,000.00 B is $4,200,000.00 C is $57,300,000.00 and D is $61,500,000.00
Answer:
Choice A
Step-by-step explanation:
YW
Claire and her partner, Grace, are throwing for the javelin event as a team. Claire threw the javelin 42 ft. and Grace threw it 39 ft. How far did the team throw the javelin?
Answer:
42+39 or 81 feet
Step-by-step explanation:
add them up and you get 81 feet.
Hope this helps plz hit the crown :D
The cost of 9 scarves is $87.75. What is the unit price?
Answer:
the answer is 9.75 for one
Step-by-step explanation:
divide 87.75/9
hope this helped
PLEASE HELPPPPP!!!!! WILL GIVE BRAINLIEST
If r represents the radius of a cylinder, what might the expression below represent? begin 2 πr cubed
A.
the volume of a cylinder whose height and diameter are equal
B.
the volume of a cylinder whose height and radius are equal
C.
the lateral area of a cylinder whose height and diameter are equal
D.
the lateral area of a cylinder whose height and radius are equal
Answer:
Step-by-step explanation: Equations representing direct, inverse, and joint variation are examples of ... When solving problems using rational formulas, it is often helpful to first solve the ... Now let's look at an example using the formula for the volume of a cylinder. ... is V = πr2h, where V is the volume, r is the radius and h is the height of the cylinder
If r represents the radius of a cylinder then 2πr³ can represent D. the lateral area of a cylinder whose height and radius are equal.
What is a cylindrical shape?A cylinder is a three-dimensional solid object with two bases that are identically circular and are connected by a curving surface that is located at a specific height from the center.
Examples of cylinders are toilet paper rolls and cold beverage cans.
The volume of a cylinder is πr²h.
Lateral surface area = 2πrh.
Total surface area = 2πr(h + r).
Given, r represents the radius of a cylinder.
The expression 2πr³ can represent the lateral surface area of a cylinder whose height and radius are equal.
The lateral surface or curved surface area of a cylinder is 2πrh.
learn more about cylinder here :
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12. Find DC showing step be step
The length DC of the triangle ΔBDC using the trigonometric function will be 30.43 units.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
The length of BD is given as,
sin A = BD / AB
sin 54° = BD / 20
BD = 20 × sin 54°
Then the length of DC is given as,
tan C = BD / DC
tan 28° = (20 × sin 54°) / DC
DC = (20 × sin 54°) / tan 28°
DC = 20 × 1.5215
DC = 30.43 units
The length DC of the triangle ΔBDC using the trigonometric function will be 30.43 units.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
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What is the slope of the line that passes through points E(6, 8) and F(6, - 2)
Answer is undefined. It's an undefined slope.
Henry was playing cards with some friends. He was winning 3 out of every 5 games. If he continues to win at this rate, how many games will he win if they play 75 games
Answer:
im jake paul
Step-by-step explanation:
team 10 is deade and i killed it i ate it
I need help please very appreciate it
Answer:
x = 18.6
Step-by-step explanation:
I’m not going to show step-by-step on how I solved it, but the image below shows a triangle calculator that solved it.
Hope this helps! :)
Y’all what should i do
Answer:
ummm pray and hope youll be fine?
For the line segment whose endpoints are X(1,2) and Y(6, 7) find the x coordinate for the point located 1/3 the distance from X to Y.
Answer:(2.6,3.6)
So 2.7
Step-by-step explanation:
Find the distance between 1 and 6 then divide by 3 and do the the same thing for2 and 7
If f(x) = x, then f(64) is equal to
a. 1/4
b. -8
c. -4
d. 4