Answer:
32 Nickels
Step-by-step explanation:
Given
Coins: Nickels (N) and Dimes (D)
$0.05 = 1 nickel and $0.10 = 1 dime
So, the amount implies:
[tex]0.05N + 0.10D = 6.20[/tex]
The number of coin implies:
[tex]D = 14 + N[/tex]
Required
Determine the number of nickels found
Substitute 14 + N for D in [tex]0.05N + 0.10D = 6.20[/tex]
[tex]0.05N + 0.10(14 + N) = 6.20[/tex]
[tex]0.05N + 1.4 + 0.10N = 6.20[/tex]
Collect Like Terms
[tex]0.05N + 0.10N = 6.20 - 1.4[/tex]
[tex]0.15N = 4.8[/tex]
Solve for N
[tex]N = 4.8/0.15[/tex]
[tex]N = 32[/tex]
Hence, he found 32 nickels
3. Use trigonometric ratios to solve for the variable. Show your work. Round lengths to the nearest tenth and angles to the nearest whole degree.
Answer:
x = 3.4
Step-by-step explanation:
recall that for a right angle with an internal angle θ,
cos θ = adjacent length / hypotenuse
in our case,
θ = 55 deg
adjacent length = x units
hypotenuse = 6 units
substitute these into the formula above
cos θ = adjacent length / hypotenuse
cos 55 = x / 6 (multiply both sides by 6)
x = 6 cos 55 (use calculator)
x = 3.4415
x = 3.4 (rounded to nearest tenth)
Given the system of equations:2x-y=7 5x+2y=4 write the system of equations in the form Ax=B, where A,X and Bare matrices.
Answer:
Step-by-step explanation:
Here, we want to write the equations in the form of matrix
To do this we simply make sure that the coefficients of any given variable are on the same side of the matrix to first form a 2 by 2 matrix
Then we proceed to use the variables to form a 1 by 1 matrix by side and then finally the results forming another 1 by 1 matrix by the side
Please check attachment for complete representation
Express 40% as a fraction in simplest form
Does the following quadratic equation have a maximum or minimum value? How can
you tell?
y=x^2+2x-3
Answer:
minimum
Step-by-step explanation:
it has a minimum value because it is positive so the graph will show a U shape
Two cyclists are 7 miles apart when they begin biking away from each other in opposite directions. The speed of the first cyclist is 12 miles per hour. The speed of the second cyclist is b miles per hour greater than the speed of the first cyclist.
How many miles does the first cyclist bike in 45 minutes?
Answer: 9 miles
Step-by-step explanation: 12 mph/60 so you can get mpm(miles per minutes)
Multiply the 0.2x45 (0.2 from 12/60 and 45 from how long the first biker had ridden on his bike)
Answer 9 miles
ABD and CBD form a linear pair . if m ABD = 6x-12 and m CBD = x + 31 find the m ABD
Answer:
m∠ABD = 126°
Step-by-step explanation:
if both angles make a linear pair then their sum equals to 180°
you can solve for x
m∠ABD + m∠CBD = 180
6x-12 + x+31= 180
7x + 19 = 180
7x = 161
x=23; now solve for
m∠ABD = 6x - 12 = 6(23) - 12 = 126°
The required measure of m ABD is 23.
What are linear pair of angle?In geometry, a linear pair of angles is a pair of adjacent angles formed when two lines intersect each other.
Now it is given that,
m ABD = 6x - 12 and m CBD = x + 31
Since, ABD and CBD form a linear pair
m ABD + m CBD = 180°
6x - 12 + x + 31 = 180°
7x + 19 = 180°
⇒ 7x = 180° - 19
⇒ 7x = 161
⇒ x = 161/7
⇒ x = 23
Thus, the required measure of m ABD is 23.
To learn more about linear pair :
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I’m giving the rest of my points for this plz help!! Explain the reasoning
Answer:
0
Step-by-step explanation:
Anything times 0 or divided by 0 is 0
Brian and leo are purchasing food at the snack bar. Brian purchases a hot dog for $2.35, chips for $1.65 and a drink for $2. Leo purchased a hamburger for $3, fries for $2.45 and a drink for $2. How much did they spend altogether on food?
Answer:
$13.45
Step-by-step explanation:
add all of the money:
2.35+1.65=4
2+3=5
2.45+2=4.45
add 4, 5, and 4.45 together
13.45
Which is $13.45
0.0000000043 estimated to the power of ten
Answer:
4.3 x 10^-9
Step-by-step explanation:
Convert to base 10 and move decimal 9 to right
When t = -3
Work out the value of
4t squared – 6
Answer:
-42
Step-by-step explanation:
t^2^=-9
4x-9=-36
-36-6=-42
Answer:
30
Step-by-step explanation:
4(-3)^2-6
4(9)-6
36-6
30
ernesto tiene 18 metros de malla el desea cerca solo tres lados de un terreno rectangular , ya que una pared sirve de limite del cuarto lado
Answer:
Estoy prediendo espanol, as translate.
Step-by-step explanation:
please write the question properly
Which angle relationships are correct? Check all that
apply.
21 and 28 are alternate exterior angles.
24 and 26 are same side interior angles.
25 and 27 are vexical angles.
22 and 28 are corresponding angles.
23 and 26 are alternate interior angles.
Answer:
<1 and <8 are alternate exterior angles
<4 and <6 and same said interior angles
<3 and <6 are alternate interior angles
Step-by-step explanation:
The correct options are 1) ∠ 1 and ∠ 8 are alternate exterior angles, 2) ∠ 4 and ∠ 6 are same side interior angles, 4) ∠ 2 and ∠ 8 are corresponding angles and 5) ∠ 3 and ∠ 6 are alternate interior angles, this is true.
What is angle relationship?The amount of space between two straight lines that have a common end point is called angle. Two angles can be related if certain conditions are met.
Given that, lines m and n are intersected by a transversal l, making angles 1, 2, 3, 4, 5, 6, 7 and 8
∠ 1 and ∠ 8 are alternate exterior angles, this is true.
∠ 4 and ∠ 6 are same side interior angles, this is true.
∠ 5 and ∠ 7 are vertical angles, no this is not true because these are making a linear pair angles.
∠ 2 and ∠ 8 are corresponding angles, this is true.
∠ 3 and ∠ 6 are alternate interior angles, this is true.
Hence, the correct options are 1, 2, 4, and 5
Learn more about angle relationships, click;
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What is the best estimate for 56.23 - 45.9?
A. 9
B. 10
C. 11
D. 15
Answer:
10 Letter B
Step-by-step explanation:
56.23 rounds down to 56 and 45.9 rounds up to 46. So 56 - 46 = 10
Choose the lowest common denominator.
2 3 4 5 6 8 10 12
What is the slope of the line that passes through the points (-6 , -4) and ( -12 , -4)? Write in simplest form plssss!
Answer:
the slope is zero
Step-by-step explanation:
Answer:
I think that: slope (m) = 0
Step-by-step explanation:
the equation of slope is m = y2-y1/x2-x1
so, y2 = -4, y1 = -4, and x2=-12, and x1= -6
Just substitute them into the equation:
m = -4 - -4 / -12- -16
m = 0
The slope is equal to 0
I hope this helps!
lalalalalalalalalalalalalalalalalalalalalalalalalalalalalalalala
log2(y)=3log3(u)
log5(y)=2log(u) + 3log5(v)
Write y in terms of u and v
Which graph represents the function f(x) = |x|– 4?
Answer:
It is graph C
Step-by-step explanation:
Answer: Graph C
Step-by-step explanation: On Edge
Please I’m really confused which one it is please help
Answer:
The top one on the left
Step-by-step explanation:
find the value of p
Answer:
Let's take the angle LEFT to p to be "x".
80+30+x = 180
110+x = 180
x = 70
Finding p:
90+70+p = 180 (REASON: linear pair)
160+p = 180
p = 20
THEREFORE, THE VALUE OF 'p' IS 20°
If the point (-1/2, y ) lies on the line whose equation is 2x - 3y = 6, what is the value of y ?
-7/3
Step-by-step explanation: is the answer for odyssey ware
does the equation y = x represent a function
Yes it's a linear function
Answer:
Yes since x only equals y, which is one solution.
Step-by-step explanation:
can yall plz plz help me
Answer:
the answer is 80000 is b
6 out of the 60 employees at the sports shop are part-time employees. What percentage of the employees at the sports shop work part-time?
Percentage of part time employees = (part-time employees/total employees) * 100 = (6/60) * 100 = 1/10 * 100 = 10%
Can someone check this for me! I am not sure if I did this right
9514 1404 393
Answer:
8 seconds
Step-by-step explanation:
Your answer is the time interval at which the projectile is at or above ground level.
The way I read the question, it is asking for the value of t when the projectile hits the ground. It is 8 (seconds). My answer to this question would be 8, or 8 seconds.
__
Comment
We cannot tell whether the answer is intended to include units, or not. The usual clues are missing here.
PLS HELP ASAP, I WILL GIVE BRAINLIEST!!!!!!!!
An isosceles triangle (that is a triangle with 2 equal sides and a base of a different length) has a base of 5 centimeters and the other two sides are x centimeters long. The perimeter is no more than 30 centimeters. Write and solve the inequality to find the possible values of x.
Follow this form
77x > 154 ; x > 2
please help me guys this is the question 1) solve 1/3 ( x+y-5) = y-z = 2x-11=9-(x-2z)
Answer:
1/3(x+y-5)=y-z=2x- 11=9-(x+2z)
Step-by-step explanation:
1/3(x+y-5)=y-z=2x-11=9-(x-2z)
(x+y-5)=3y-3z=6x-33=37-2(x-2x)x+y-5=3y-3z=6x-33=37-3x+6zx-6x+3x=3y-y=-3z-6z=37+33-2x=3y=-9z=70.Please help!!! 40 points and will give brainliest!!
Answer:
the answer would be
Step-by-step explanation:
i hope this helped
If you add all four together, you get a %400 increase
sin 7A - sin A / (sin 8A + sin 2A)
Answer:
sin 7A/ sin 2A di ako sure na Tama yan sorry pero yan Ang sagot ko
Need help ASAP please give answer in cm squared
Answer:
17×15=255
Step-by-step explanation:
you do base times height
