Answer:
The total value of quarters that Samantha took is $3.75
Step-by-step explanation:
Timothy has 72 coins.
He has:
Q quarters
D dimes
N nickels
8 pennies.
Then:
Q + D + N + 8 = 72
Samantha takes:
3 dimes
2 nickels
Leaves him with one penny, then she takes 7 pennies.
all of the quarters, so she took Q quarters.
So now Timothy has 45 coins.
And for each particular type of coin, Thimothy now has:
D - 3 dimes
0 quarters
1 penny
N - 2 nickels
And we know that he has 45 coins, then:
(N - 2) + 1 + ( D - 3) = 45
Which we can rewrite as:
N + D + 1 - 2 - 3 = 45
N + D - 4 = 45
N + D = 45 + 4 = 49
So we have two equations:
Q + D + N + 8 = 72
N + D = 49
Now we can replace the second equation into the first one:
(N + D) = 49
then:
Q + D + N + 8 = 72
Q + (D + N) + 8 = 72
Q + 49 + 8 = 72
Now we can solve this for Q
Q = 72 - 49 - 8 = 15
So Samantha took 15 quarters.
Each quarter has a value of $0.25
Then Samantha took:
15*$0.25 = $3.75
The total value of quarters that Samantha took is $3.75
the width of a rectangle is twice as long as the length. if the length is increased by 50% and the width is decreased by 20%, the perimeter becomes 248. find the width and length of the original rectangle.
Answer:
Width: 160
Length: 80
Step-by-step explanation:
Width = 2x and length = x
X + 0.5x + 2x - 0.4x = 248
3.1x = 248
X = 248/3.1
X = 80
Width = (2)(80) and length = 80
Find the missing side. Round to the nearest tenth
We know
[tex]\boxed{\sf cos\theta=\dfrac{Base}{Hypotenuse}}[/tex]
[tex]\\ \sf\longmapsto cos59=\dfrac{x}{28}[/tex]
[tex]\\ \sf\longmapsto 0.5=\dfrac{x}{28}[/tex]
[tex]\\ \sf\longmapsto x=28\times 0.5[/tex]
[tex]\\ \sf\longmapsto x\approx 14[/tex]
Answer:
[tex]x = 14[/tex]
Step-by-step explanation:
[tex] \cos( \theta) = \frac{a}{h} \\ \cos(59) = \frac{x}{28} \\ 0.5 \times 28 = x \\ 14 = x[/tex]
Let f(x) = 9x − 1 and g(x) = x3. Evaluate (g ∘ f)(1).
Step-by-step explanation:
here's the answer to your question
Which is an equivalent equation solved for g? StartFraction A t Over 60 EndFraction equals g.= g StartFraction A Over 60 t EndFraction equals g. = g StartFraction 60 A Over t EndFraction equals g. = g 60At = g
Answer:
A. StartFraction A t Over 60 EndFraction equals g
g = At/60
Step-by-step explanation:
The goals against average (A) for a professional hockey goalie is determined using the formula A = 60 a equals 60 left-parenthesis StartFraction g Over t EndFraction right-parenthesis.. In the formula, g represents the number of goals scored against the goalie and t represents the time played, in minutes. Which is an equivalent equation solved for g?
A. StartFraction A t Over 60 EndFraction equals g
B. StartFraction A Over 60 t EndFraction equals g
C. StartFraction 60 A Over t EndFraction equals g. = g 60At = g
Given equation:
A = 60(g/t)
Where,
A = Average goal
g = number of goals scored against the goalie
t = the time played
Which is an equivalent equation solved for g?
A = 60(g/t)
Open parenthesis
A = 60g / t
Cross product
A * t = 60g
At = 60g
Divide both sides by 60
g = At/60
Answer:
At/60 = g
( option A )
find the measure of the indicated angle to the nearest degree
Answer:
71°
Step-by-step explanation:
12/36 = 1/3
inverse cos(1/3) = 70.53 = 71
the ratio of corresponding side of similar triangles is 5:2, then find the ratio of their areas
Answer:
25:4
Step-by-step explanation:
The ratio of the sides is 5:2
The ratio of the areas is the scale factor squares
5^2 : 2^2
25:4
NOW ASAP PLEASE NEED FAST ANSWERRRRRRRR
Let's take any 2 points from the line.
1. (-4,-2)
2. (-2,-7)
[tex]slope \\ = \frac{Δy}{Δx} \\ = \frac{y_{2} - y_1}{x_{2} - x_1} \\ = \frac{ 7 - ( - 2)}{ - 2 - ( - 4)} \\ = \frac{5}{2} \\ = 2 \frac{1}{2} \\ = 2.5[/tex]
evaluate without multiplying directly 998³ x 103³
Answer correctly I will mark them as brainlist
Answer:
1,086,183,741,982,184
Step-by-step explanation:
998^3
= (1,000)^3 - (2)^3 - 3 · 1,000 · 2 (1000 - 2)
= 1,000,000,000 - 8 - 6,000 (998)
= 999,999,992 - 5,988,000
= 994,011,992
103^3
= (100 + 3)^3
= (100)^3 + (3)^3 + 3(100) (3) + (100+3)
= 1,000,000 + 27 + 900(103)
= 1,000,027 + 92,700
= 1,092,727
994,011,992 · 1,092,727
= 994,011,992 · (1,000,000 + 90,000 + 2,000 + 700 + 20 + 7)
= (994,011,992 · 1,000,000) + (994,011,992 · 90,000) + (994,011,992 · 2,000) + (994,011,992 · 700) + (994,011,992 · 20) + (994,011,992 · 7)
= 994,011,992,000,000 + 89,461,079,280,000 + 1,988,023,984,000 + 695,808,394,400 + 19,880,239,840 + 6,958,083,944
= 1,086,183,741,982,184
Can you help me please please correct my
Answer:
a = m/c
~~~~~~~~~~~~~~~~~~~~~~~
m=ca
divide both sides by c
you get a = m/c
Step-by-step explanation:
Answer:
a = m/c
Step-by-step explanation:
m = ca
divide both sides by c
m/c = ca/c
m/c = a
:.a = m/c
G(x)=3x+2 encontrar el dominio, codominio y haga tabla de valores
Answer:
x=
[tex]x = \frac{2}{g - 3} [/tex]
explainion is shown in picture above. Hope this helps
Help anyone can help me do the question,I will mark brainlest.
Answer:
Step-by-step explanation:
S=pi*R^2=(area of the sector)*(360/angle of AOB)
so 22/7*9^2=99*360/angle of AOB
-> AOB=140
perimeter of circle: 2*pi*R
permiter of sector : 2*pi*140/360*R+ 2R=22+9*2=40
convert 5.875baae 10 to base 2
Help what is x
When x^5 is 225
Answer:
Solution given:
x^5=225
we have
x=[tex] \sqrt[5]{225} [/tex]
x=2.9541
Hello!
[tex] \bf {x}^{5} = 225[/tex]
Extract the radical on both sides of the equation.[tex] \bf x = \sqrt[5]{225} [/tex]
[tex] \bf x ≈2.95418[/tex]
Answer: x ≈ 2,95418
Good luck! :)
O Valor da incógnita b é:
2
3
4
5
Answer:
there are relationship between sides of two triangle
Step-by-step explanation:
if 2 multiply by 2 and it new form 4 you should multiply 2 to all side of first triangle so this means 1*2 f=2 and b*2=6 b= 3
Ai đó giúp mình với. Bài này mình không nghĩ ra cách giải
Answer:
-3 -2. 1 0 2 3 -2 3Step-by-step explanation:
please make it a brainliest answer.
please help with this I don't know what to do
Step-by-step explanation:
we solve for x
15x-(2/x)>1. /*x
15x^2 -2 > x. /-x
15x^2 -x -2 > 0
Solve the quadratic at zero
15x^2 -x -2=0
using the quadratic formula
x1,2 = [1+-sprt((-1)^2-4(15)(-2))]/2(15)
= [1+- sqrt (121)]/30
= [1+-11]/30
x1= 12/30= 2/5
x2= -10/30= -1/3
therefore this positive parabola is greater than zero or positive when
x< -1/3 and x> 2/5
PLEASE SOMEONE SOLVE B) I ALREADY KNOW 1. A) Is 75.875m^2
What is the slope-intercept equation for the line below?
Step-by-step explanation:
given that the coordinate is (0,1)(4,3)
x¹=0, y¹=1, x²=4 y²=3
M=> Gradient => (y²-y¹)/(x²-x¹)
M=(3-1)/(4-0) => 1/2
Therefore the slope-intercept equation
M=(y-y¹)/(x-x¹)
1/2 = (y-1)/(x-0)
x=2y-2
2y=-2-x
y=-x/2 - 1
salini's mother's present age is 8 times salini's present age five years from now salini's age will be 1/4th of of his mother's present age what are their present ages
Answer:
salini -= 5 years
mother = 40years
Step-by-step explanation:
[tex]salini = x \\ mother =8x \\ x + 5 = 1 \: of \: 8x \\ x + 5 = 2x \\ 5 = x [/tex]
[tex]5 = x[/tex]
then you equate the values of x
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your
answers as radicals in simplest form.
Answer:
x = 10
y = 5
Step-by-step explanation:
Applying Trigonometry ratio
sin∅ = opposite/hypotenuse
cos∅ = Adjacent/hypotenuse
From the diagram,
sin60° = 5√3/x
make x the subject of the equation
x = 5√3/sin60°
But, sin60° = √3/2
x = 5√3/(√3/2)
x = (5√3)(2/√3)
x = 10.
Also, applying
cos60° = y/x
Where x = 10, cos60° = 1/2
y = xcos60°
y = 10(1/2)
y = 5
Find a degree 3 polynomial having zeros 1,4 and 2 leading coefficient equal to 1
The degree 3 polynomial with the zeros {1, 4, 2} and a leading coefficient equal to 1 is:
p(x) = x^3 -7x^2 + 14x - 8
We know that for a polynomial of degree n, with a leading coefficient "a" and the zeros {x₁, x₂, ..., xₙ} can be written as:
p(x) = a*(x - x₁)*(x - x₂)*...*(x - xₙ)
Knowing that here we have a polynomial of degree n = 3, with a leading coefficient a = 1, and the zeros {1, 4, 2}
Replacing these in the above form, we get:
p(x) = 1*(x - 1)*(x - 4)*(x - 2)
Now we can expand that to get:
p(x) = (x^2 - x - 4x + 4)*(x - 2) = (x^2 - 5x + 4)*(x - 2)
p(x) = x^3 - 5x^2 + 4x - 2x^2 + 10x - 8
p(x) = x^3 -7x^2 + 14x - 8
If you want to read more about polynomials, you can read:
https://brainly.com/question/11536910
A. -5x+4y=-20
B. -5x-4y=-20
C. -5x+4y=0
D. 5x+4y=-20
Instructions: Given the figure, what is the angle of rotational symmetry?
Rotation:
The order of rotational symmetry is the number of times the shape maps onto itself during a rotation of 360°, for example:
a rectangle has order of rotational symmetry of 2; 180° and 360° rotations will map it onto itself.for a regular hexagon has order of rotational symmetry of 6for a regular square has order of rotational symmetry of 4 XxShazadixX.which kind of triangle is shown.
1. obtuse isosceles
2. acute equilateral
3. obtuse scalene
4. right scalene
Answer: 2, acute equilateral
Step-by-step explanation:
the image shows a triangle with all 3 sides congruent and 3 acute angles
Need help please with the step by step explanation
Answer:
exponential decay (0,8)
Step-by-step explanation:
help. i can't find the answer anywhere and i hate doing slope
Answer:
put one point at (2, -4) and the other at (0, -1)
you can find the second point using the slope -3/2
HELP PLEASE BRAIN FOR CORRRECT
Answer:
1/6
Step-by-step explanation:
you divide y by x
y ÷ x
each column when you you divide y by x the answer is 1/6
i need help with this question pls! :)
Hi there!
[tex]\large\boxed{\text{9 quarters}}[/tex]
We can let x = dimes and y = quarters.
We know that one dime = $0.10 and a quarter = $0.25, so:
$3.05 = $0.10x + $0.25y
And:
17 = x + y
Solve the system of equations. We can rearrange the bottom equation to create an expression equal to y:
17 - x = y
Substitute this into the top equation for y:
3.05 = 0.10x + 0.25(17 - x)
Distribute and simplify:
3.05 = 0.10x + 4.25 - 0.25x
3.05 = 4.25 - 0.15x
Solve for x:
-1.2 = -0.15x
x = 8
Find y using the above expression:
17 - 8 = y
y = 9
Using the diagram below, which of the following parts of the triangles are
congruent?
7 miles
B
С
16 ft
12 ft
D
21 ft
E
1 mile = 5280 ft
Given:
1. ACAB-ACED
2. AB ||ED
A. ZA ZB
B. ZASZC
y
Answer: Choice D. [tex]\angle A \cong \angle E[/tex]
Explanation: Since AB is parallel to ED, this means the alternate interior angles A and E are congruent as marked below.
Angle A is congruent to angle E by alternate interior angle theorem. Therefore, option D is the correct answer.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
Given that, triangle CAB is similar to triangle CED and AB is parallel to ED.
From the given figure, AB=7 miles, DC=16 ft, EC=12 ft and DE=21 ft.
Here, in figure,
∠A ≅ ∠E (Alternate interior angles)
∠B ≅ ∠D (Alternate interior angles)
∠ACB ≅ ∠DCE (Vertically opposite angles are congruent)
Therefore, option D is the correct answer.
To learn more about the similar triangles visit:
https://brainly.com/question/25882965.
#SPJ7
Help me find x- geometry
Answer:
We know that,
The sum of the two opposite angles of a circular quadrilateral is 180 degrees.
So,
[tex] \sf {47}^{ \circ} + 7x + {21}^{ \circ} = {180}^{ \circ} \\ = > 7x = {180}^{\circ} - {47}^{\circ} - {21}^{\circ} \\ = > 7x = 112 \\ = > x = \frac{112}{7} \\ = > x = {16}^{\circ} \\ [/tex]
The opposite angles in a cyclic quadrilateral are supplementary. i.e., the sum of the opposite angles is equal to 180˚
Using the above theorem
47 + 7x + 21 = 180
7x + 68 = 180
7x = 180 - 68
7x = 112
x = 112/7
x = 16
Therefore value of x is 16°
Answered by Gauthmath must click thanks and mark brainliest
