MATHEMATICS HIGH SCHOOL

4x+11<23 solve this equation

Answers

Answer 1

Answer:

4x + 11 < 23

- 11 - 11

4x < 12

4x/4 < 12/4

x < 3

Related Questions

Urgent !! please help !! can someone help me with this problem and show work
Solve for x and y3x + 2y = 167x + y = 19(-2,-5)(-2,5)(2,5)(2,-5)
The suspect was spotted riding the swings earlier in the day. Each swing can hold a maximum weight of 500 pounds. In order to reach the maximum weight, you would have to double the weight of the suspect and add 20 pounds less than the weight of George. Write and solve an equation to represent the suspect's weight.
the measure of two complimentary angles is in the ratio 1:9. what are the degree measures of the two angles
What is three fractions equivalent to 3/11

HELP ASAP!!!!!!!!!

NEED ANSWER NOW

Answers

Answer:

a=5

Step-by-step explanation:

you would divide 245 by 49 to get a

a= 5

Find the surface area of the following figures 16 ft 13 ft 12ft 19ftPlease help me solve number 3! And if i got #2 incorrect, please help me fix that one too.

Answers

Answer:

1192 ft²

Step-by-step explanation:

Figure 3 is a trapezoidal prism.

The total surface area of a trapezoidal prism is made up of 2 congruent trapezoid bases and 4 rectangular faces connecting the bases.

The formula for the area of a trapezoid is:

$\boxed{S.A.=(1)/(2)(a+b)h}$

where a and b are the bases, and h is the height.

From observation of the given diagram, the bases are 16 ft and 19 ft, and the height is 12 ft. Therefore, the area of each trapezoid base is:

$\begin{aligned}\textsf{Area of trapezoid base}&=(1)/(2)(16+19)\cdot 12\n\n&=(1)/(2)(35)\cdot 12\n\n&=17.5\cdot 12\n\n&=210\; \sf ft^2\end{aligned}$

To calculate the areas of all the rectangular faces, we first need to calculate the slant (s) of the trapezoid base by using the Pythagoras Theorem:

$\begin{aligned}s^2&=(19-16)^2+12^2\ns^2&=3^2+12^2\ns^2&=9+144\ns^2&=153\ns&=√(153)\end{aligned}$

The area of a rectangle is the product of its width and length.

Therefore, the sum of the areas of the rectangular faces is:

$\begin{aligned}\textsf{Area of rectangular faces}&=16\cdot13+12\cdot13+19\cdot13+√(153)\cdot13\n&=208+156+247+13√(153)\n&=771.801119...\n&=772\; \sf ft^2\;(nearest\;foot)\end{aligned}$

To find the total surface area of the given trapezoidal prism, sum the area of the two trapezoid bases and the area of the rectangular faces:

$\begin{aligned}\textsf{Total S.A.}&=2 \cdot 210+772\n&=420+772\n&=1192\; \sf ft^2\end{aligned}$

Therefore, the total surface area of the given trapezoidal prism is 1192 ft², rounded to the nearest foot.

Round 2.6 to the nearest tenth

Answers

2.6 is already rounded to the nearest tenth.

If the original answer was 2.67345, it would be rounded to 2.7.
or
if it were 2.63421; it would be 2.6

The number after a decimal; (2.6 is the tenth)

816.45 = hundred
816.45 = ten
816.45 = one
816.45 = tenth
816.45 = hundredth

Robin has a table full of supplies that she will use to decorate picture frames. She decorated one frame with 3 buttons and 12 bows. On her other frames, she also wants to use 2 types of items on each picture frame, but only if the 2 items have the same unit rate as the items on the first frame. Which of the pairs of items could Robin use for the other frames?

Answers

The ratio is 1:4
She could use 4 gems and 16 flowers 4 x 4 = 16 7 stickers and 28 glue dots 7 x 4 = 28

The choices you could pick would be...

4 gems and 16 flowers... because 4 x 4 = 16

7 stickers and 28 glue dots... because 7 x 4 = 28

Susan drove an average speed of 30 miles per hour for the first 30 miles of a trip & then at a average speed of 60 miles/hr for the remaining 30 miles of the trip if she made no stops during the trip what was susan's avg speed in miles/hr for the entire trip.(A) 35(B) 40(C) 45(D) 50(E) 55

Answers

Answer:

The correct option is B.

Step-by-step explanation:

It is given that Susan drove an average speed of 30 miles per hour for the first 30 miles of a trip & then at a average speed of 60 miles/hr for the remaining 30 miles of the trip.

$Time=(Distance)/(Speed)$

Time taken by Susan in first 30 miles is

$T_1=(30)/(30)=1$

Time taken by Susan in remaining 30 miles is

$T_2=(30)/(60)=0.5$

Total distance covered by Susan is

$D=30+30=60$

Total time taken by susan to complete 60 miles trip is

$T=T_1+T_2$

$T=1+0.5=1.5$

Susan's avg speed in miles/hr for the entire trip is

$S=(60)/(1.5)=40$

The average speed of susan for entire trip is 40. Therefore the correct option is B.

Convert 35/8 to a decimal using long division1. 0.2285715
2. 2.29
3. 4.225
4. 4.375

Answers

Answer:

4.375

Step-by-step explanation:

We put 35 inside and 8 outside

32 can be written as 32.0000

4 . 375

------------------------------------

8 35.0000

---------------------------(subtract)

--------------------(Subtract)

----------------

Answer is 4.375

The given fraction 35/8 can be written in decimal as 4.375. Therefore, the correct answer is option 4.

The given fraction is 35/8.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Here,

8)35(4.375

________

_________

Therefore, the correct answer is option 4.

To learn more about the division visit:

brainly.com/question/1575906.

#SPJ6

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Anybody can help on anyone of these please quick !!!