All categories

3 years ago

Please solve~I give brainliest! 1. 2x-5<1 2. 3x+7<16

Mathematics

1 answer:

NeTakaya3 years ago

4 0

Answer:

1. x<3

2. x<3

Step-by-step explanation:

2x-5<1

Move constant to the right side and change its sign

2x<1+5

Add the Numbers

2x<6

Divide both sides of the inequality by 2

x<3

3x+7<16

Move constant to the right side and change its sign

3x<16-7

Subtract the numbers

3x<9

Divide both sides of the inequality by 3

x<3

You might be interested in

I DONT KNOW THESE! HELP!

kkurt [141]

Answer:

20. x = 5, y = -2

21. x = 11, y = 12

22. x = 22, y = 11

23. x = 11, y = 10

Step-by-step explanation:

20. Opposite sides in the parallelogram are congruent, so

$2y+18=3x-1\\ \\6x-3=17-5y$

Solve this system of two equations:

$\left\{\begin{array}{l}2y-3x=-19\\ \\6x+5y=20\end{array}\right.$

Multiply the first equation by 2 and add two equations:

$2(2y-3x)+6x+5y=2\cdot (-19)+20\\ \\4y-6x+6x+5y=-38+20\\ \\9y=-18\\ \\y=-2$

Substitute it into the first equation:

$2\cdot (-2)-3x=-19\\ \\-3x=-19+4\\ \\-3x=-15\\ \\x=5$

21. Opposite angles in the parallelogram are congruent, so

$11x+5=10y+6$

Consecutive angles are supplementary, so

$6x-y+11x+5=180^{\circ}$

Solve this system of two equations:

$\left\{\begin{array}{l}11x-10y=1\\ \\17x-y=175\end{array}\right.$

From the second equation

$y=17x-175$

Substitute it into the first equation:

$11x-10(17x-175)=1\\ \\11x-170x+1750=1\\ \\-159x=-1749\\ \\x=11\\ \\y=17\cdot 11-175=187-175=12$

22. Opposite angles in the parallelogram are congruent, so

$2x-5=3y-12$

Consecutive angles are supplementary, so

$2x-5+7y+x=180^{\circ}$

Solve this system of two equations:

$\left\{\begin{array}{l}2x-3y=-7\\ \\3x+7y=185\end{array}\right.$

From the first equation

$x=-3.5+1.5y$

Substitute it into the second equation:

$3(-3.5+1.5y)+7y=185\\ \\-10.5+4.5y+7y=185\\ \\-105+45y+70y=1,850\\ \\115y=1,850+105\\ \\115y=1,955\\ \\y=17\\ \\x=-3.5+1.5\cdot 17=22$

23. Opposite sides in the parallelogram are congruent, so

$2x+9=4y-9\\ \\3x-5=2y+8$

Solve this system of two equations:

$\left\{\begin{array}{l}2x-4y=-18\\ \\3x-2y=13\end{array}\right.$

Multiply the second equation by 2 and subtract it from the first equation:

$2x-4y-2(3x-2y)=-18-2\cdot 13\\ \\2x-4y-6x+4y=-18-26\\ \\-4x=-44\\ \\x=11$

Substitute it into the first equation:

$2\cdot 11-4y=-18\\ \\-4y=-18-22\\ \\-4y=-40\\ \\y=10$

3 0

3 years ago

Find the area of the composite figure, rounding to the nearest tenth.

Ugo [173]

Answer:

85,1 ft^2

Step-by-step explanation:

Semicircle area : 4^2π / 2 = 8π = 25,1 ft^2

Triangle area : (8 x 15) / 2 = 60 ft^2

Total Area = 60 + 25,1 = 85,1 ft^2

7 0

3 years ago

HELP WANTED!!! 10 POINT REWARD!!!

nasty-shy [4]

-5(a + 3) = -55
(a + 3)(-5) = -55
(a + 3) (-5)/-5 = -55/ (-5)
a + 3 = 11
a + 3 (-3) = 11 (-3)
a = 8

hope this helps

8 0

4 years ago

Can someone help answer my questions for a test i need help asap!

nikdorinn [45]

Answer:

what is the question

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

A car dealer will sell you a used car for $6,498 with $798 down and payments of $162.51 per month for 48 months. what is the int

Mkey [24]

Answer:

Interest rate is 1.4% and APR is 16.8%.

Step-by-step explanation:

Given,

The original cost of the car = $ 6,498,

Down payment = $ 798,

So, the present value of loan, P.V. = original cost - down payment

= $ 6,498 - $ 798 = $ 5700,

Now, the monthly payment, P = $ 162.51,

Number of months, n = 48,

Let r be the monthly interest rate,

Since, monthly payment formula of a loan,

$P=\frac{PV(r)}{1-(1+r)^{-n}}$

$162.51=\frac{5700r}{1-(1+r)^{-48}}$

By graphing calculator,

$r=0.014= 1.4\%$

Hence, interest rate = 1.4%,

And, APR = 12 × 1.4% = 16.8%.

4 0

3 years ago