All categories

4 years ago

The sum of a number and 17 is no less than 26

Mathematics

2 answers:

Sphinxa [80]4 years ago

7 0

Answer:

The equation is x + 17 > 26

x > 9

Step-by-step explanation:

The sum of a number and 17 is no less than 26

Let "x" be a number.

The sum of a number and 17 = x + 17

No less than means ">"

So, the inequality is x + 17 > 26

We can solve this inequality.

Solve for x.

Subtract 17 on both sides, we get

x + 17 - 17 > 26 - 17

x > 9

Tema [17]4 years ago

6 0

We put this into an algebraic equation, where x = the number .
x + 17 > 26
x > 9

This > is the greater than sign, we use this because it's no less than 26.
Ideally we would use this sign:
http://etc.usf.edu/clipart/41700/41712/fc_greateq_41712_md.gif
because it could be equal to 26.

The number is greater or equal to 9

You might be interested in

what is the common number to be subtracted from each term of the ratio 11:8 to get the new ratio 2:1.?

JulijaS [17]

Answer:

5 should be subtracted from each term

Step-by-step explanation:

$\frac{11-x}{8-x}=\frac{2}{1}$

Cross multiply,

1 * (11 - x) = 2*(8-x)

11 -x = 2*8 - 2*x

11 - x = 16 - 2x

Subtract 11 from both sides,

-x = 16 - 2x - 11

-x = 5 - 2x

Add 2x to both sides

-x +2x = 5 - 2 + 2x

x = 5

7 0

3 years ago

the map shows the route for a race. you are at a, which is 6000 feet from the first checkpoint b. the second checkpoint c is loc

Nimfa-mama [501]

The two checkpoints are 4,920 ft. apart from each other. The total distance of the race is 15,840 ft. If checkpoint C half the distance between checkpoint B and the end of the race, the distance between Checkpoint B and the end of the race is 9,840 ft. Half of that distance is 4,920 ft.

3 0

3 years ago

Find the values of x and y.

vova2212 [387]

Look at the picture.

We have the equation (1) 12x + 4y = 40.

We know, the sum of the acute angles in a right triangle is 90°.

Therefore we have the equation (2) (12x + 4y) + (17x - y) = 90

Substitute (1) to (2):

40 + 17x - y = 90 subtract 40 from both sides

17x - y = 50 (3)

We have the system of equations:

$\left\{\begin{array}{ccc}12x + 4y = 40&|:4\\17x-y=50\end{array}\right\\\underline{+\left\{\begin{array}{ccc}3x + y = 10\\17x-y=50\end{array}\right}\ \text{add both side of equations}\\.\qquad20x=60\qquad|:20\\.\qquad x=3$

Substitute the value of x to (3)

$17(3)-y=50\\51-y=50\qquad|-51\\-y=-1\to y=1$

Answer: x = 3 and y = 1.

4 0

3 years ago

Find (a) arc length and (b) Area of a sector.

barxatty [35]

Answer:

a) 29.45 cm (2 dp)

b) 220.89 cm² (2 dp)

Step-by-step explanation:

Formula

$\textsf{Arc length}=r \theta$

$\textsf{Area of a sector}=\dfrac{1}{2}r^2 \theta$

$\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in radians)}$

Calculation

Given:

$\theta=\dfrac{5 \pi}{8}$
r = 15 cm

$\begin{aligned}\implies \textsf{Arc length} & =r \theta\\& = 15\left(\dfrac{5 \pi}{8}\right)\\& = \dfrac{75}{8} \pi \\& = 29.45\: \sf cm\:(2\:dp)\end{aligned}$

$\begin{aligned} \implies \textsf{Area of a sector}& =\dfrac{1}{2}r^2 \theta\\\\ & = \dfrac{1}{2}(15^2) \left(\dfrac{5 \pi}{8}\right)\\\\& = \dfrac{225}{2}\left(\dfrac{5 \pi}{8}\right)\\\\ & = \dfrac{1125}{16} \pi \\\\& = 220.89 \: \sf cm^2\:(2\:dp)\end{aligned}$

5 0

2 years ago

Which expression is equivalent to (3/4)^-2 A: -9/16 B: 16/9 C: -6/8 D: 9/16

UkoKoshka [18]

B is the answer B is the answer B is the answer B is the answer

7 0

3 years ago