Answer:
The sales tax is $3.5
The total cost is $53.5
Step-by-step explanation:
To find the sales tax, you have to find the 7 percent of 50 dollars. In decimal form, 7% is 0.07. So you just have to multiply 0.07 to 50.
50 x 0.07 = 3.5
That's why $3.5 is the sales tax.
In order to get the total cost including sales tax. You just have to add $50 to the sales tax which is $3.5.
$50 + $3.5 = $53.5
Plz help me solve for x and y
Answer:
x = 40°
y = 30°
Step-by-step explanation:
Given parallelogram ABCD :
∠A = 3x°∠B = 2y°∠C = 120°∠A = ∠C∠B = ∠D∠A + ∠B = 180°∠B + ∠C = 180°∠A + ∠B + ∠C + ∠D = 360°∠A = ∠C
3x = 120
x = 120 ÷ 3
x = 40°∠B + ∠C = 180°
2y + 120 = 180
2y = 180 - 120
2y = 60
y = 60 ÷ 2
y = 30°Answer:
x = 40°
y = 30°
Step-by-step explanation:
Given the diagram of a parallelogram, where:
∠A = 3x°, ∠B = 2y°, and ∠C = 120°
The given problem also requires us to find the values of x and y.
In reference to the Parallelogram Opposite Angles Theorem, where it states that: if a quadrilateral is a parallelogram, then it will have congruent opposite angles. In other words, ∠A ≅ ∠C , and ∠B ≅ ∠D.
Solve for x:Hence, we can establish the following equality statement to solve for the value of x:
m∠A = m∠C
3x° = 120°
Divide both sides by 3 to solve for x:
[tex]\displaystyle\mathsf{\frac{3x^{\circ}}{3}=\:\frac{120^{\circ}}{3}}[/tex]
x = 40°
Therefore, the value of x = 40°.
Solve for y:In order to solve for y, we must refer to the Parallelogram Consecutive Angles Theorem, where it states that if a quadrilateral is a parallelogram, then its consecutive angles are supplementary whose sum add up to 180°.
In the given diagram, ∠A and ∠D, ∠B and ∠C are consecutive angles.
We can establish the following equation to solve for the value of y:
m∠B + m∠C = 180°
2y° + 120° = 180°
Subtract 120° from both sides:
2y° + 120° - 120° = 180° - 120°
2y° = 60°
Divide both sides by 2 to solve for y:
[tex]\displaystyle\mathsf{\frac{2y^{\circ}}{2}=\:\frac{60^{\circ}}{2}}[/tex]
y = 30°
Therefore, the value of y = 30°.
Use quadratic regression to find a function that fits the following points. (-2,-16), (3,11), (0,2).
Answer:
y = -1.2x² +6.6x +2
Step-by-step explanation:
The quadratic regression function of a calculator or spreadsheet can do this for you. The resulting function is ...
y = -1.2x² +6.6x +2
_____
If you want to do this by hand, put the given (x, y) values into the formula ...
ax² +bx +c = y
and solve the resulting system of equations.
The third point tells you c=2, so you can simplify the system of equations to ...
a(-2)² +b(-2) +2 = -16 ⇒ 4a -2b = -18 ⇒ 2a -b = -9
a(3)² +b(3) +2 = 11 ⇒ 9a +3b = 9 ⇒ 3a +b = 3
Adding these equations together gives ...
(2a -b) +(3a +b) = (-9) +(3)
5a = -6 . . . . . . . . simplify
a = -1.2 . . . . . . . divide by 5
b = 3 -3a = 3 -3(-1.2) = 6.6 . . . . from the second equation
Now we know the coefficients are a=-1.2, b=6.6, c=2, so the function is ...
y = -1.2x² +6.6x +2
A family needs to build fencing around their rectangular home and square swimming pool, depicted below
Answer:
160
Step-by-step explanation:
Help me please
You need to find the measure of angle A
Most people don’t do this when I ask these questions
Answer:
Step-by-step explanation:
6x + 5 = 4x + 45
6x - 4x = 45 - 5
2x = 40
x = 20
6x + 5 = 6.20 + 5 = 125°
The difference between two numbers is 5, and 2 times the lesser number is 18 more than the greater number. Find the numbers.
Answer:
Let x and y be the numbers, with x the larger one.
x - y = 5
2y = x + 18
Then solve this system of equations:
x - y = 5
x - 2y = -18
Subtract bottom equation from top equation and get
y = 23
So x = y + 5 = 23 + 5 = 28
2. A number 'a' is equal to the square of the number 'b' plus three times the
number'c
o Write a formula for 'a'
Answer:
a = b² + 3c
Step-by-step explanation:
The square of the number b is b² and 3 times c is 3c , then
a = b² + 3c
Add the following fractions answer in lowest terms.
1) 9/10+4/5+5/6=
2) 14/15+2/9+1/5=
please give me Right answers please.
Answer:
1) 9/10 + 4/5 + 5/6 = 2 8/15
2) 14/15 + 2/9 + 1/5 = 1 16/45
==============================================
Solution:
[tex] \bold{1)} \: \tt \frac{9}{10} + \frac{4}{5} + \frac{5}{6} \\ \\⟹ \tt \frac{9}{10} + \frac{4}{5} \\ = \tt \frac{9 \times 1}{10 \times 1} + \frac{4 \times 2}{5 \times 2} = \frac{9 + 8}{10} = \frac{17}{10} \\ \\ ⟹\tt \frac{17}{10} + \frac{5}{6} \\ = \tt \frac{17 \times 3}{10 \times 3} + \frac{5 \times 5}{6 \times 5} = \frac{51 + 25}{30} = \frac{76}{30} \: or \: 2 \frac{16}{30} = 2 \frac{8}{15} \\ \\ \\ \\ \bold{2)} \tt \: \: \frac{14}{15} + \frac{2}{9} + \frac{1}{5} \\ \\⟹ \tt \frac{14 \times 3}{15 \times 3} + \frac{2 \times 5}{9 \times 5} = \frac{42 + 10}{45} = \frac{52}{45} \\ \\⟹ \tt \frac{52}{45} + \frac{1}{5} \\ = \frac{52 \times 1}{45 \times 1} + \frac{1 \times 9}{5 \times 9} = \frac{52 + 9}{45} = \frac{61}{45} = 1 \frac{16}{45} [/tex]
which is not a property of the sides of a rectangle?
Answer:
A rectangle doesn't have equal sides
Both sides are not equal
Lucy deposits $200 into an account that pays simple interest at a rate of 3% per year. How much Interest will she be paid in the first 3 years?
Answer:
$16.48
Step-by-step explanation:
Split this up into the four years.
For the first year, multiply 200 x .02 to get 4
Add 4 onto your total. ($204.00)
For the second year multiply 204 x .02 to get 4.08
Add 4.08 onto your total. ($208.08)
For the third year multiply 208.08 x .02 to get 4.1616 but round to 4.16
Add 4.16 onto your total ($212.24)
For the fourth year multiply 212.24 x .02 to get 4.2448 but round to 4.24
Add 4.24 onto your total (216.48)
Now subtract 200 from your total
216.48-200 = 16.48
She will be payed $16.48 in interest.
Parallel lines m and n are cut by the transversal line t prove <1 and <4 are supplementary move options to the boxes to complete the proof
At what values of x, does f(x) = 0?
A. 2
B. 8
C. -4
D. 0
E. -1
F. 4
Answer:
D : 0
Step-by-step explanation:
f(0) = 0
PLEASE ANSWER THIS ASAP THE ONES I GOT WRONG PLEASE TELL ME THE RIGHT ANSWER
Answer:
for line b - the slope is 0, not undefined. an undefined slope is a vertical line.
for line d - the slope is -1/3. slope is written rise over run, so just count the units that it goes down and how many it goes right. it goes down 1 and right 3, so it is -1/3.
Use the distributive property to write an expression that is equivalent to 8 + 24x
Answer:
8(3x + 1)
Step-by-step explanation:
8 and 24 are multiples of 8
(8/8) + (24x/8) = 1 + 3x
The equation with distributive property is 8(1 + 3x)
-Chetan K
Angles on a line add up to 180. So what is x?
Answer:
x=121
Step-by-step explanation:
360_304=56180_115=6565+56=121x=121Answer:
x = 121°
Step-by-step explanation:
180 - 115 = 65°
The angle beside 115° is 65°.
A full circle is 360° so
360 - 304 = 56°
Add the two angles
65 + 56 = 121°
Subtract it to 180° to find the other angle
180 - 121 = 59°
Now subtract again to 180° to find the angle in the other side
180 - 59 = 121°
What is the slope of the graph?
Can anyone help me to verify identities
Answer:
Step-by-step explanation:
18.
LHS
[tex]\frac{cos^{2}a-sin^{2}b }{sin^{2}a.sin^{2}b}[/tex]
= [tex]\frac{cos^{2}a }{sin^{2}a.sin^{2}b} -\frac{sin^{2}b }{sin^{2}a.sin^{2}b}[/tex]
= [tex]\frac{cos^{2}a}{sin^{2}a}[/tex] × [tex]\frac{1}{sin^{2}b}[/tex] - [tex]\frac{sin^{2}b}{sin^{2}b}[/tex] × [tex]\frac{1}{sin^{2}a}[/tex]
= [tex]cot^{2}a[/tex] × [tex](1+cot^{2}b)[/tex] - 1 × [tex](1 + cot^{2}a)[/tex]
= [tex]cot^{2}a[/tex] + [tex]cot^{2}a.cot^{2}b[/tex] - 1 - [tex]cot^{2}a[/tex]
= [tex]cot^{2}a.cot^{2}b[/tex] - 1
Then you can conclude that LHS = RHS
19. It's weird. I tried a few ways like simplifying, dividing both numerator and denominator on LHS by tan or sin or cos but it didn't work out.
elena gives following sequence of transformation to show that the two figures are similar by transforming ABCD into EFGD. dialte using center D reflect using the line AE is elenas method correct
Answer:
Elena is incorrect.
Step-by-step explanation:
In the first step, the figures are supposed to be about the same size. But the reflection over AE does not match them together. The correct line must be vertical and it has to go through point D.
If I'm correct, the scale copy should be 2.
∴/therefore, if it doesn't go through point D, Elena is incorrect.
Mark me brainliest if possible, it's always appreciated! ¯\_(ツ)_/¯
-❤AbqveNatural❤
a football team won 80% of the 150 games in a season. Wright the percent proportion that will help you solve the problem in that point
what is 2 2/3×3 1/4 as a fraction form
Answer:
8 2/3
Step-by-step explanation:
2 2/3×3 1/4
Change to improper fractions.
2 2/3=8/3
3 1/4=13/4
8/3x13/4=26/3
=8 2/3
Hope this helps :)
Solve the equation
9 + 13 = 31
False
9 + 13 = 31
22 ≠ 31
Answer:
22
Step-by-step explanation:
po ang tamang sagon po
Given that the zeros of a quadratic function are −2 and −5, what is the standard form of the quadratic function? A) f(x) = x2 + 5x + 10 B) f(x) = x2 + 7x + 10 C) f(x) = x2 − 5x + 10 D) f(x) = x2 − 7x + 10
Step-by-step explanation:
x = -2 and x = -5
x + 2 = 0 and x + 5 = 0
(x + 2)(x + 5) = 0
x² + 5x + 2x + 10 = 0
x² + 7x + 10 = 0
Option → B
Jan skips 5 m north, 4 m east, 6 m north, 16 m east, and 4 m north. How far is Jan from where
she started?
help asap!!
Answer:35 m
Step-by-step explanation:
North: 5+6+4. East: 4+16. 15+20
Graph: f(x) = 4 to the power of 4
Answer:
how am I supposed to graph?
Step-by-step explanation:
Answer using seconds please!!!
Using my faucet, it takes 6 minutes to fill our water tank.
Using the neighbour’s hose, it takes 9 minutes.
How long would it take if I used both the faucet and the hose?
Answer:
900 seconds I believe
Step-by-step explanation:
60*6= 360
9*60=540
540+360=900
PLEASE HELP ME WILL MARK BRAINLIEST THIS IS DUE IN A HOUR
Answer:
There is no Question or no images...
Step-by-step explanation:
solve pls brainliest
Answer:
0.43%
5.4
Step-by-step explanation:
To convert 0.0043 to a percentage, multiply the number 0.0043 by 100
0.43%
In decimal form, 540 percent equals
5.4
solve pls brainliest
Answer: 1 is none 2=A 3=B 4=C
Step-by-step explanation:
see it in shapes
Answer:
1. none
2. a
3. b
4. c
Step-by-step explanation:
1: This represents the net of a triangular prism, for it has a square in the middle, two triangles, and two other squares/rectangles. However, there is no triangular prism among the three solids, so the answer for this is none.
2: This represents the net of a cone, for it has a circle as the base and a sector that gives the cone it's curved surface. There is one cone among the three solids, and the answer for this one is A.
3: This represents the net of a tetrahedron, for it consists of 4 equilateral triangles and having one of the triangles as its base. Therefore, the answer for this one is B.
4: This represents the net of a square pyramid, composed of a square as the base and 4 triangles surrounding it. There's one square pyramid among the answer choices, so the answer for #4 is C.
2.5 gallons of water are poured into 5 equally sized bottles. How much water is in each bottle?
Select all the equations that apply.
Group of answer choices
5÷2.5=?
2.5*?=5
5*?=2.5
2.5÷5=?
PLZ HELP I NEED IT
Find the length for X
Answer:
Step-by-step explanation:
[tex]\frac{6}{4.5}=\frac{4}{x}[/tex]
6x = 4 × 4.5
6x = 18
x = 3
Work is shown to solve for the system of equations.
Why does the answer for y indicate that the system has no real number solutions.
O The solution does not solve for X first.
O The values for Y are square roots of negative numbers.
O The values for y have square roots.
O The values for Y have a positive and a negative value.
Answer:
B The values for y are square roots of negative numbers.
Answer:
b
Step-by-step explanation: