Answer:
2x + x +90= 180 We will add 2x + x=3x We get 3x + 90 =180 Now we subtract 3x = 180–90 ... x=30, for confirmation put value of x =30in equation and verify. LHS=RHS. Thats it. 68 views.
Solve the system of equations
y equals 5 x plus 4
y equals 7 x plus 6
Answer:
x = -1 , y = -1
Step-by-step explanation:
We have system of equations and are asked to solve them.
We are looking for x and y, since both equations start with y, we can plug one to the other.
y = 5x + 4
y = 7x + 6
5x + 4 = 7x + 6
Now isolate x byitself to get x :
5x + 4 = 7x + 6
Subtract 4 from both sides :
5x = 7x + 2
Subtract 7x from both sides :
-2x = 2
Divide -2 by both sides :
x = -1
Now that we know what x is, we can substitute it into the equations seapraretly.
y = 5(-1) + 4
y = 7(-1) + 4
y = -5 + 4
y = -7 + 6
-5 + 4
-1
-7 + 6
-1
Therefore, both x and y equal -1
Step-by-step explanation:
5x4=20
7×6=42[tex]5 \times 4 = 20[/tex]5.7 + 2(w + 1) = 2w + 9
- 8(4 + 9r) = 7(- 2 - 11r)
Answer:
Step-by-step explanation:
5.7 + 2(w+1) = 2w + 9
5.7 + 2w + 2 = 2w + 9
7.7 = 9, which is impossible, so there is no solution.
:::::
-8(4+9r) = 7(-2-11r)
-32-72r = -14-77r
5r = 18
r = 3.6
Each year the US Environmental Protection Agency (EPA) releases fuel economy data on cars manufactured in that year. Below arc summary statistics on fuel efficiency (in miles/gallon) from random samples of cars with manual and automatic transmissions manufactured in 2012. Do these data provide strong evidence of a difference between the average fuel efficiency of cars with manual and automatic transmissions in terms of their average city mileage?
Answer:
Follows are the solution to this question:
Step-by-step explanation:
Please find the complete question in the attachment file.
[tex]n_1 = 26 \\\\ x_1 = 16.12 \\\\s_1 = 3.58\\\\n_2 = 26\\\\ x_2 = 19.85 \\\\ s_2 = 4.51[/tex]
[tex]H_0: u_1 = u_2\\\\H_1: u_1 \neq u_2[/tex]
Using formula:
[tex]\to S^{2}_{p}=\frac{S^{2}_{1}(n_1 -1)+ S^{2}_{2}(n_2-1)}{n_1+n_2-2}[/tex]
[tex]\to Sp^2 = \frac{((26-1) \times (3.58^2) + (26-1) \times (4.51^2))}{(26+26-2)}[/tex]
[tex]= \frac{((25) \times 12.8164 + (25) \times 20.3401 )}{(26+24)}\\\\ = \frac{(320.41 + 508.5025)}{(50)}\\\\ = \frac{(828.9125)}{(50)}\\\\=16.57825[/tex]
[tex]\to Sp = 4.0716[/tex]
Calculating the value of standard error:
[tex]\to SE = Sp \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2}}[/tex]
[tex]=4.0716 \times \sqrt{\frac{1}{26}+\frac{1}{26}}\\\\=4.0716 \times \sqrt{\frac{1+1}{26}}\\\\=4.0716 \times \sqrt{\frac{2}{26}}\\\\=4.0716 \times \sqrt{\frac{1}{13}}\\\\=4.0716 \times 0.277 \\\\=1.1278332\\\\= 1.1293[/tex]
Calculating the value of test statistic:
Formula:
[tex]\to t = \frac{(x_1-x_2)}{SE}[/tex]
[tex]= \frac{(16.12 -19.85)}{1.1293}\\\\= \frac{(-3.73)}{1.1293}\\\\=-3.303[/tex]
Calculating the value of Degree of freedom:
[tex]= n_1+n_2 -2 \\\\= 26+26 -2 \\\\= 52 -2 \\\\= 50[/tex]
Because the P-value is a 2-tailed test = 0.0018
Thus they reject H0, because of P-value < 0.05,
Yeah, certain data show clearly that the means are different.
Suppose that the local sales tax rate is 7% and you purchase a car for $14,100
a. How much tax is paid ?
B. What is the car's total cost ?
I don't understand you're language
tangent 25 = x/15 rounded to nearest tenth
Answer:
Value of x = 7.0 units.
Step-by-step explanation:
Given the trigonometric equation
[tex]\tan \left(25^{\circ }\right)=\frac{x}{15}[/tex]
Switch sides
[tex]\frac{x}{15}=\tan \left(25^{\circ \:}\right)[/tex]
Multiply both sides by 15
[tex]\frac{15x}{15}=15\tan \left(25^{\circ \:}\right)[/tex]
Simplify
[tex]x=15\tan \left(25^{\circ \:}\right)[/tex]
∵ tan (25) = 0.46630
Thus,
x = 7.0 (rounded to nearest tenth)
Therefore, value of x = 7.0 units.
A bag contains 1 dollar, 50 cents and 25 cents coins in the ratio 3:5:7. The total amount is $ 1856.
Find the number of each denomination.
Answer:
There are 768 1 dollar coins, 1280 50 cent coins and 1792 25 cent coins
Step-by-step explanation:
The total amount of coins is given by x.
Ratio 3:5:7
[tex]\frac{3}{3+5+7} = \frac{3}{15}[/tex] are worth $1.
[tex]\frac{5}{3+5+7} = \frac{5}{15}[/tex] are worth 50 cents = $0.5.
[tex]\frac{7}{3+5+7} = \frac{7}{15}[/tex] are worth 25 cents = $0.25.
The total amount of money is $1856.
This means that:
[tex]\frac{3x}{15} + 0.5\frac{5x}{15} + 0.25\frac{7x}{15} = 1856{/tex]
Multiplying everything by 15
[tex]3x + 2.5x + 1.75x = 27840[/tex]
[tex]7.25x = 27840[/tex]
[tex]x = \frac{27840}{7.25}[/tex]
[tex]x = 3840[/tex]
Amount of coins of 1 dollar:
[tex]\frac{3*3840}{15} = \frac{3840}{5} = 768[/tex]
Amount of 50 cent coins:
[tex]\frac{5*3840}{15} = \frac{3840}{3} = 1280[/tex]
Amount of 25 cent coins:
[tex]\frac{7*3840}{15} = 1792[/tex]
There are 768 1 dollar coins, 1280 50 cent coins and 1792 25 cent coins
Aliyah's school is selling tickets to a play. On the first day of ticket sales the school sold 9 adult tickets and 14 student tickets for a total of $220. The school took in $188 on the second day by selling 11 adult tickets and 7 student tickets. What is the price each of one adult ticket and one student ticket? Write answer as an ordered pair.
Answer:
Step-by-step explanation:
a and s are the numbers of adult and student tickets, respectively.
9a + 14s = 220
11a + 7s = 188 Multiply by -2 and add to first equation.
-22a - 14s = -376
9a + 14s = 220
-----------------------
-13a = -156
a = 12
9(12) + 14s = 220
14s = 112
s = 8
Adult tickets cost $12. Student tickets cost $8.
Oscar wants to rent a boat. The rental company charges an initial fee of $12 plus $8 per hour to rent the boat.
a) Write a linear equation to describe the total cost of renting the boat.
b) What is the cost of renting the boat for 5 hours?
i need points pleaseeeeeeeeee
Answer:
a) y=8x+12
b) $52
Step-by-step explanation:
for a)
the linear cost of this equation is 8, since is asks this amount per hour. The constant is 12, a one time fee. to form the equation, you would use the formula y=mx+b, and substituted in with the given, you get y=8x+12.
for b)
in b, it asks for the cost of renting the boat when x=5, renting the boat for 5 hours. all you have to do is plug in 5 in place of the x in the equation:
y=8x+12
y=8(5)+12
y=40+12
y=52
-8.5n = 17
pls help me
Clare bought a photo for 19 cents and paid with a $1 bill. How much change should she receive? ASAP
Dario puts 44 marbles in a box in which 14 are red, 12 are blue, and 18 are yellow. If Dario picks one marble at random, what is the probability that he selects a red marble or a yellow marble?
Answer:
not simplified: 18/44
Simplified: 9/22
Step-by-step explanation:
d = (4 x 180) - (3 x 90)
Answer:
d = (4 x 180) - (3 x 90) = 450Step-by-step explanation:
d = (4×180) - (3×90)
d = (720) - (270)
d = 720 - 270
d = 450
HOPE THIS HELPS YOU
Follw me = 10 thanks
Mark as brainliest = 10 thanks
1 thanks to me = 2 thanks
y - 4= -8 (x - 1)
linear or nonlinear?
Need help with math questions. :) Please help me answer them... I will give brainless
Answer:
7.)
a. y = -3x+3
b. y = 3x + 4
c. y = x + 3 (not sure about this one)
8.)
x = 63
y = 6
6.)
left an attachment (not sure about the growth triangle though)
5.)
Red Line - slope = -2
y-in = 1
Blue Line - slope = (1/2) or 0.5
y-in = 3
Green Line - slope = (-2/3) or 0.667
y-in = -4
Step-by-step explanation:
Sorry it took me so long
Which of the following are factorable? Select the two correct answers. (2 points)
O Z2 – 21 – 15
22 +51 +2
22 – 51 +3
O2? +61 + 8
Answer:
First and last
Step-by-step explanation:
Find the what will multiple to the last number and add to the second number.
Nigel has 138 fluid ounces of lemonade. How many 6-fluid-ounce serving of lemonade can he make
Answer:
23, because 138 divided by 6 is 23
He can make 23 servings.
Help Asapppppppppppp
Answer:
(-15,0) and (0,-3)
Step-by-step explanation:
(-15,0) = x- intercept
(0,-3) = y-intercept
A square has sides of 10x. Write and simply an expression for the perimeter square
Answer:
4(10x) = 40x
Step-by-step explanation:
Assuming you meant that each side has 10x, and not the sum of each side is 10x. Since each side has 10x, and every square has equal sides of 4, we can utilize parenthesis.
4 = number of sides
10x = given length of each side
4(10x) = 40x
Same as saying 4 × 10x = 40x.
Use the distributive property to rewrite the expression in factor form. 18h - 33
Answer:
you have to factor 3 out of 18h-33 so you get 3(6h-11)
What additional information must be known to prove the triangles similar by SAS?
Answer:
We must know what DF and JK are.
Step-by-step explanation:
SAS similarity is when two sides are proportional and the corresponding angles are congruent.
K and F are congruent (A)
KL and GF seem to have a proportion of 5/6 or 6/5 (S)
We need the other S to prove SAS.
1. Set up a proportion and use it to solve for X.
16
12
X
Sumita buys a set of earphones for £12.17. She pays with £15. How much change does she get? Give your answer in £.
She will get $8.01. Hope this helped.
The function f(x) is defined below. What is the end behavior of f(x)?
Answer:
first choice
Step-by-step explanation:
A full body treatment costs £125.00 Today there is a 10% discount, how much do you pay ?
Step-by-step explanation:
[tex] \frac{10}{100} \times 125 = 12.5 \\ 125 - 12.5 = 112.5[/tex]
112.5 £
Find both the area and the perimeter of the semi circle
Answer/Step-by-step explanation:
Area of a semicircle = ½πr²
Perimeter of a semicircle = πr + d
7. d = 14 m
r = ½ of d = 7 m
Area = ½*π*7² = ½*π*49
✅Area = 76.97 m² (nearest hundredth)
Perimeter = π*7 + 14
✅Perimeter = 35.99 m (nearest hundredth)
8. d = 35 in.
r = ½ of d = 17.5 in.
Area = ½*π*17.5² = ½*π*306.25
✅Area = 481.06 in.² (nearest hundredth)
Perimeter = π*17.5 + 35
✅Perimeter = 89.98 in (nearest hundredth)
Multiply.
(3x + 1)(x + 7)
Answer:
the answer is 3x^2 + 22x + 7
Step-by-step explanation:
Expand the polynomial using the FOIL method.
hoped this helped!
brainly, please?
Answer:
3x^2+22x+7
Step-by-step explanation:
5 x 1 3/45 * 1 3/4
What is the answer?
reatest to Smallest which is correct?
1. 50 16 5 -64
2. 16 5 50 -64
3. 5 16 -64 50
4. -64 50 16 5
Answer:
1. 50 16 5 - 64
Step-by-step explanation:
have a nice day
plz help me brainlest for the 1st answer
nine times a number decreased by four
Answer: 9x - 4
Step-by-step explanation:
We know that a number must be decreased by four. Let's break it up a little.
Nine times some number. We don't know what nine will be multiplied by, so we will just write a placeholder number: x. This number will be multiplied by nine. So it will turn into 9x.
We must decrease (subtract) from this by four. Subtracting 9x by four can be written as 9x - 4.