MATHEMATICS HIGH SCHOOL

-1/2x+3=-x+7 what does x equal

Answers

Answer 1
Answer:

Answer:

x = 8

Step-by-step explanation:

-1/2x+3=-x+7

Add x to each side

-1/2x+x+3=-x+x+7

1/2x +3 = 7

Subtract 3 from each side

1/2x +3-3 = 7-3

1/2x = 4

Multiply each side by 2

1/2x *2 = 4*2

x = 8

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The volume of a square pyramid is equal to _____ times the volume of a cube where the bases are the same, but the square pyramid is half the height of the cube.

Answers

The volume of the cube is a^2h;
The volume of a square pyramid is (1/3)a^2(h/2) = (a^2h)/6;
Finally, The volume of a square pyramid is (1/6) times the volume of the cube .

Answer:

1/6 joo welcome on ed 2020

Step-by-step explanation:

The ages of two sisters are 11 years and 14 years.In how many years time will the product of their age be 304?

Answers

x - the number of years in which the product of their ages will be 304
In x years one sister will be 11+x years old, and the other sister will be 14+x years old.

(11+x)(14+x)=304 \n154+11x+14x+x^2=304 \nx^2+25x+154=304 \nx^2+25x-150=0 \nx^2-5x+30x-150=0 \nx(x-5)+30(x-5)=0 \n(x+30)(x-5)=0 \nx+30=0 \ \lor \ x-5=0 \nx=-30 \ \lor \ x=5

The number of years must be a positive number, so x=5.

The product of their ages will be 304 in 5 years.

Plz Hurry In which number is the value of the digit in the ten-thousands place 10 times the value of the digit in the thousands place?


A.

80,846


B.

68,486


C.

88,604


D.

64,808

Answers

D I’m pretty sure because 8 times itself = 64

Answer:

i think its D

Step-by-step explanation:

i think its D

Kimberley wants to plot a graph to show the price of different numbers of skateboards. She has to plot the following points:(1, 49.99), (2, 99.98), (3, 149.97), (4, 199.96)

Which of the following best describes how the x-axis should be labeled?

From 0 to 6 at intervals of 3

From 0 to 8 at intervals of 4

From 0 to 3 at intervals of 1

From 0 to 5 at intervals of 1

Answers

Based on the given above, the values of the x's are 1, 2, 3, 4. It is best to draw the x-axis and label them from 0 to 5 with an interval of 1 to allow the better plotting of the points. In addition, all the values of the x may be found in the labels of the x-axis. 

A group of students is taking a CPR course. The total cost for the course is $275. The room in which the course will be held can hold a maximum of 25 people, including the instructor. What is the minimum number of students needed to take the course so that the cost per student will be less than $15? A. 11 B. 17 C. 18 D. 19

Answers

25 people = 24 students + 1 instructor;
$275 / x < $15
x > $275 : $15
x > 18.3333
x = 19
Answer: 
The minimum number of students is: D ) 19.

Answer:

The answer is the option D

the minimum number of students will be 19

Step-by-step explanation:

Let

x-------> the minimum number of students

we know that

15x\geq 275 ------> inequality that represent the situation

The domain of the inequality is the interval-------> [0,24]

Solve for x

Divide by 15 both sides

x\geq 275/15\n x\geq 18.33

so

the minimum number of students will be 19

Could anyone help with math?? Will up vote, thanks!If a cone-shaped vase can hold 45 cubic centimeters of water and has a radius of 2 centimeters, what is the height of the vase? Use 3.14 for pi. Round your answer to the nearest hundredth.

7.45 centimeters
10.75 centimeters
14.33 centimeters
22.50 centimeters

Answers

Answer:

The height of the cone is 10.75 cm.

Step-by-step explanation:

Given the volume of cone = 45 cubic cm

Radius of the cone = 2 cm

Height of the cone = ?

The volume formula of cone is = \pi r^(2) (h)/(3)

45= 3.14*2*2* (h)/(3)

=> 45*3 =12.56h

=> 135=12.56h

h = 10.748 ≈ 10.75 cm

So, the height of the cone is 10.75 cm.
volume of a cone  V = pi * r * r * h / 3
so V = 45, r = 2 therefore 45 = 3.14 * 2 * 2 * h /3  => 45 = 3.14 * 4 * h /3
=> 135 = 3.14 * 4 * h  => 33.75 = 3.14 * h  => 10.75 = h
height = 10.75 cm rounded to 2 decimal places
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