Answer:
(-1, 3)
Step-by-step explanation:
5x + 2y = 1
+
2x - 2y = -8
7x = -7
x= -1
2(-1) - 2y = -8
-2 - 2y = -8
-2y = -6
y = 3
what’s the answer i need help? Find slope using triangles and rise over run
Answer:
slope is 1/3
Step-by-step explanation:
notice the points on the line, from the first point go one square up and three to the right, thats how i got 1/3
what is the distance between the points (2, 5) and (5,7)?
A. 5
B. square root 13
C. square root 10
Answer:
[tex]\sqrt{13}[/tex]
Step-by-step explanation:
The distance formula that gives the distance between two points is given as:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Plugging in our given points, we get:
[tex]d=\sqrt{(5-2)^2+(7-5)^2},\\d=\sqrt{3^2+2^2},\\d=\sqrt{9+4},\\d=\fbox{$\sqrt{13}$}[/tex].
A meal costs $30 before tax and tip. There is a 7% sales tax. After the tax, a 20% tip is added. What is the total after tax and tip?
Answer:
The total is $38.1
Step-by-step explanation:
The tax is $2.1, The tip is $6.
Percentage is the part of the whole expressed in the fraction of hundred.
The total cost of the meal after the tip and tax is $38.1.
What is percentage of a number?
Percentage of a number or ratio expressed in the form of fraction of hundred.
Given information-
The total cost of meal before tax and tip is $30.
The total sales tax is 7%.
The tip added to the cost of meal is 20%.
As, the total sales tax is 7% and cost of the meal is $30. Thus the total sales tax amount is,
[tex]s_t=30\times\dfrac{7}{100} \\s_t=2.1[/tex]
Thus the amount of sales tax is 2.1.
As the the tip added to the cost of meal is 20% and the cost of the meal is 32.1 after the tax. Thus the amount of meal after the 20 % tip is,
[tex]s_t=30\times\dfrac{20}{100} \\s_t=6.00[/tex]
The amount of the tip of the meal after the tax is $6.00.
The cost of meal after the tip and tax is,
[tex]C=30+2.1+6\\C=38.1[/tex]
Hence the total cost of the meal after the tip and tax is $38.1.
Learn more about the percentage of a number here;
https://brainly.com/question/19247356
Please help me with this math question asap. I will mark brainliest. Thank you so much! Question 4/5
Answer:
list the givens
line SU ≅line UT⇒def of a midpoint
ΔSVU≅ΔTWU⇒SSS
∠SVU≅∠TWU ⇒CPCTC
Step-by-step explanation:
Bernard fait du vélo. Il roule pendant 1h20 min à la vitesse de 12 km/m.
Quelle distance parcourt-il?
Answer: 16 km
Step-by-step explanation:
1 h 20= 80 min
En 60 min il fait 12 km
En 80 min il fait 16 km
What is 2896.9874 rounded to the nearest hundredth?
One side of each pentagon lies along a side of the octagon.
AB is a side of the octagon.
AC is a side of one of the pentagons.
BC is a side of the other pentagon.
Work out the size of angle y.
Show your working clearly.
Answer:
The size of angle y is 126°
Step-by-step explanation:
From the diagram of the regular polygons, we have;
One side of each pentagon lies along a side of the octagon
The interior angle of the octagon > The interior angle of the pentagon
Each interior angle of a regular pentagon = 108°
Each interior angle of a regular octagon = 135°
Therefore, ∠ABC = 135° - 108° = 27°
Similarly, ∠BAC = 135° - 108° = 27°
Therefore, by triangle the angle sum theorem, we have;
∠y = ∠ACB = 180° - ∠BAC - ∠ABC = 180° - 27° - 27° = 126°
The size of angle y, ∠y = 126°.
If the 4th and 7th terms of a geometric sequence are 75 and 600, what is the first term?
Answer:
probably 8 lol
Step-by-step explanation:
i just did 600/75 sorry if it's wrong
0.15 km converted to centimetres
Answer:
15000
Step-by-step explanation:
you times it by 100000
I want to get as many bags of chips as possible to each cost $2 I also told my mom I would get her a carton of eggs eggs cost $5 I have $25 total create an equation to represent the scenerio and figure out how many chips I can buy
Answer:
y(total)=2x+5
Step-by-step explanation:
Answer:
2x+5=25 I think.......
Trevor Has a Fair coin and a six-sided number cube with a number 1 through 6 on each side. He flips the coin and rolls a number cube. what is the probability that the coin shows heads and a number cube shows 4?
Answer:
1/12
Step-by-step explanation:
When you are doing probability with multiple things at once you have to multiply the probabilities of each asked number from each object together to get the probability of them both landing on those numbers
The students in Carmen's grade voted to select a guest speaker. 11 students voted for a famous athlete. The other 9 students in Carmen's grade voted for a famous actor. What percentage of the students voted for the athlete?
which ordered pair represents a point in Quadrant IV?
A) (4, -4)
B) (3, 0)
C) (-1 -6)
D) (-4, 2)
Answer:
pretty sure it's A. (4, -4)
Which fraction is equivalent to 1/3?
1/3 1/3 1/3
A. 3/6
B. 2/6
C. 1/6
D.4/6
Answer: B. 2/6
* Hopefully this helps:) Mark me the brainliest!!
.
The battery charge must be:
greater than 25% charged, but
1
• less than charged, and
. a multiple of 0.20
Answer:
40 percent
Step-by-step explanation:
The lunch choices last Friday were mushroom or pepperoni pizza. The cafeteria made 20 mushroom pizzas and 80 pepperoni pizzas. What percentage of the pizzas were mushroom pizzas?
Answer:
20%
Step-by-step explanation:
in total there 100 pizzas each one is a percent and there are 20 mushroom so 20% is answer.
PLZ HELP ME PLZZZZZZZZZZZZZZZZZZZZZZ
Answer and Step-by-step explanation:
Ok, so all we have to do is input the values into the equation.
We are told Adam bought 2 mechanical pencils and 8 spiral notebooks, which cost $13
and that
Kia bought 3 mechanical pencils and 5 spiral notebooks, which cost $12.50.
Adam: 2p + 8n = 13
Kia: 3p + 5n = 12.5
This is the answer.
#teamtrees #WAP (Water And Plant)
Answer: Adam: 2p + 8n = 13
Kia: 3p + 5n = 12.5
Step-by-step explanation:
can some one solve this (squar roots)
Answer:
2[tex]\sqrt{6}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Simplifying the radicals
[tex]\sqrt{96}[/tex]
= [tex]\sqrt{16(6)}[/tex]
= [tex]\sqrt{16}[/tex] × [tex]\sqrt{6}[/tex] = 4[tex]\sqrt{6}[/tex]
[tex]\sqrt{24}[/tex]
= [tex]\sqrt{4(6)}[/tex]
= [tex]\sqrt{4}[/tex] × [tex]\sqrt{6}[/tex] = 2[tex]\sqrt{6}[/tex]
Thus
[tex]\sqrt{96}[/tex] + 2[tex]\sqrt{6}[/tex] - 2[tex]\sqrt{24}[/tex]
= 4[tex]\sqrt{6}[/tex] + 2[tex]\sqrt{6}[/tex] - 4[tex]\sqrt{6}[/tex] ← collect like terms
= 2[tex]\sqrt{6}[/tex]
Answer:
[tex]2 \sqrt{6} [/tex]Step-by-step explanation:
to understand the solving stepsyou need to know aboutsimplifying redicalPEMDASfirst thing
in your question about 70% is done so need to simplify it a little
[tex] \sqrt{96} + 2 \sqrt{6} - 2\sqrt{24} [/tex]
[tex] \sqrt{ {4}^{2} \times 6 } + 2\sqrt{6} - 2 \sqrt{2 ^{2} \times 6 } [/tex]
[tex]4 \sqrt{6} + 2 \sqrt{6} - 4 \sqrt{6} [/tex]
[tex]2 \sqrt{6} [/tex]Identify the inequality that represents the following problem. One less than twice a number is no less than five. What is the solution set?
2 n - 1 > 5
2 n - 1 ≥ 5
1 - 2 n ≥ 5
1 - 2 n > 5
Answer:
is the last one
1 - 2n > 5. The solution set is (-∞, -2)
Step-by-step explanation:
e are dealing here with two problems:
First, to determine which mathematical statement represents "One less than twice a number is no less than five".
Second, solve n, that is, the solution set for the numbers that solve the inequality.
First Part: Identifying the inequality
"One less than twice a number" can be written as , where n is the unknown number.
If it is not less than five, thus it is greater (no less) than five. Then, the symbol here is " > " (greater).
As a result: "One less than twice a number is no less than five" could be rewritten as "One less than twice a number is greater than five", or:
.
Second Part: Finding the solution set
The solution set for this inequality is as follows:
⇒
Subtract -1 from each member of the inequality:
⇒ ⇒
Multiply each member of the inequality by (or divide each member by -2). We have to remember here that when we multiply or divide an inequality by a negative number (-n), this inverts the inequality, that is:
The solution set is then , which is any value less than -2 (not including -2, because is < and not ≤), and we have infinite negative numbers with such a characteristic. We can write it mathematically as an interval notation:
Solution set for is .
Answer:
1-2n>5
hope it help3d
F(x)=3x+1 and g(x) = square root of x-1 find (fog)(5)
Answer:
The answer is [15(√x - 1) + 5].
Step-by-step explanation:
(fog)(5) = [3(√x-1) + 1] (5)
= [3(√x - 1) +1] (5)
= 15(√x - 1) + 5
is this triangle congruent? pls answer i will mark you brainlyist :)
Answer:
no
Step-by-step explanation:
HELP ME WITH THIS! 1/3 a = 7/9
Answer:
a = 2 [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{3}[/tex] a = [tex]\frac{7}{9}[/tex]
Multiply both sides by 9 ( the LCM of 3 and 9 ) to clear the fractions
3a = 7 ( divide both sides by 3 )
a = [tex]\frac{7}{3}[/tex] = 2 [tex]\frac{1}{3}[/tex]
It should be 2 1/3......
Convert 10°C to Fahrenheit.
45°F
65°F
50°F
42°F
Answer:
C. 50°F
Step-by-step explanation:
(10°C × 9/5) + 32 = 50°F
Brian has 2 parents, 4 grandparents, 8 great-grandparents, and so on.
a. Write an explicit formula for the number of
ancestors Brian has in a generation if
he goes back to the nth generation.
b. Write a recursive formula for the number of
ancestors Brian has in a generation if
he goes back to the nth generation.
(PLEASE EXPLAIN WHY)
Answer: Assuming the ancestors are distinct (very unlikely), each generation is double the size of the following generation. So
15
generations back will be
2
15
=
32768
ancestors.
Using a pencil, pair of compasses and ruler, construct a triangle with sides 8cm, 9cm and 6cm
Measure the size of the angle between the 8cm and 9cm sides to the nearest degree.
Answer:
The nearest degree of the angle between the 8cm and 9cm sides is:
41°Step-by-step explanation:
To obtain the correct angle in a small triangle like the triangle formed with the measures in the exercise is a little bit hard, in a change of this, I used a triangle calculator, with this I obtained the right angle formed by the sides with 8 cm and 9 cm, which I'm gonna add like an attachment.
From this image, you can guide yourself to draw the triangle without mistakes and to identify the right angle, which is 40,8° but the compass is not so defined, by this reason you can take it like 41° or 40°.
What Is the volume of the pyramid in the diagram?
Answer:
I think is A
Step-by-step explanation:
I hope it help
Which expression is equivalent to (144k2r14)1/2 for all positive values of k and r ?
A.144kr7
B.12kr7
C.12k2r4
D.72k2r14
Answer:
12kr⁷ is the equivalent expression.
Step-by-step explanation:
We need to find an expression that is equivalent to [tex](144k^2r^{14})^{1/2}[/tex]
We know that, 12² = 144
[tex](144k^2r^{14})^{1/2}=(12^2\times k^2\times r^{14})^{1/2}\\\\=12^{2\times \dfrac{1}{2}}\times k^{2\times \dfrac{1}{2}}\times r^{14\times \dfrac{1}{2}}\\\\=12\times k\times r^7\\\\=12kr^7[/tex]
So, the equivalent expression is [tex]12kr^7[/tex]. Hence, the correct option is (B).
John wrote that 5+5=10. Then he wrote that 5+5+n=10+n. Are the equations John wrote equivalent? Explain (in your solution justify by stating what property of equality he used).
Answer:
They are equivalent
Step-by-step explanation:
n would equal the same, and 10 and 5+5 equal the same. Therefore, whatever n is, they will be equal no matter what. Unless you subtract the n from one side and add on the other.
Answer:
Step-by-step explanation:
yesh
Suppose we have a right triangle with legs of length a and b and hypotenuse of length c. Suppose b=3 and c=5. Then a= , For the opposing angles, we have sin(A)= , cos(A)= , and tan(A)= .
Answer:
Length of right-angle triangle 'a' = 4
b)
[tex]sin(A) = \frac{opposite side}{Hypotenuse} = \frac{a}{c} = \frac{4}{5}[/tex]
[tex]cos(A) = \frac{Adjacent side}{Hypotenuse} = \frac{b}{c} = \frac{3}{5}[/tex]
[tex]tan(A) = \frac{opposite side}{Adjacent side} = \frac{a}{b} = \frac{4}{3}[/tex]
Step-by-step explanation:
Step(i):-
Given b = 3 and hypotenuse c = 5
Given ΔABC is a right angle triangle
By using pythagoras theorem
c² = a² + b²
⇒ a² = c² - b²
⇒ a² = 5²-3²
=25 - 9
a² = 16
⇒ a = √16 = 4
The sides of right angle triangle a = 4 ,b = 3 and c = 5
Step(ii):-
[tex]sin(A) = \frac{opposite side}{Hypotenuse} = \frac{a}{c} = \frac{4}{5}[/tex]
[tex]cos(A) = \frac{Adjacent side}{Hypotenuse} = \frac{b}{c} = \frac{3}{5}[/tex]
[tex]tan(A) = \frac{opposite side}{Adjacent side} = \frac{a}{b} = \frac{4}{3}[/tex]
What is the midpoint of the segment whose endpoints are (0.4) and (-4,-6)
Answer:
The coordinates of the midpoint are (-2,-1)
Step-by-step explanation:
The Midpoint of a Segment
Given a segment defined by points (x1,y1) and (x2,y2), the coordinates of the midpoint (xm,ym) are calculated as follows:
[tex]\displaystyle x_m=\frac{x_1+x_2}{2}[/tex]
[tex]\displaystyle y_m=\frac{y_1+y_2}{2}[/tex]
We have the endpoints (0,4) and (-4,-6):
[tex]\displaystyle x_m=\frac{0-4}{2}[/tex]
[tex]\displaystyle x_m=\frac{-4}{2}=-2[/tex]
[tex]\displaystyle y_m=\frac{4-6}{2}[/tex]
[tex]\displaystyle y_m=\frac{-2}{2}=-1[/tex]
The coordinates of the midpoint are (-2,-1)
