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2 years ago

Write the word sentence as an inequality. Then solve the inequality. Six times a number x is at least −24.

Mathematics

2 answers:

Wittaler [7]2 years ago

5 0

Answer:

6x ≥ -24

Step-by-step explanation:

6 times a number x can be written as 6x, and at least means greater than or equal to.

balandron [24]2 years ago

4 0

Answer:

The inequality is: 6x≥-24

The solution of this inequality is: x≥-4

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you sell bracelets for 2$ each and necklaces for 3$ each at a local flea market. you collected 95$, selling a total of 37 jewelr

777dan777 [17]

Use simultaneous equations.
let the number of bracelets be y and necklaces be z.
so
2y + 3z = 95. this is formula 1
y + z = 37. this is formula 2
so from formula 2, we can change that to
y = 37 - z. this is formula 3
sub 3 into 1,
2 (37-z) + 3z = 95
74 - 2z + 3z = 95
z = 21
sub z = 21 into 3,
y = 37 - 21
y = 16
therefore you sold 16 bracelets and 21 necklaces

4 0

4 years ago

Mary had $25,000 to invest. She invested part of that amount at 3% annual interest and part at 5% annual interest for one year.

emmasim [6.3K]

(25000-f)(.03)+.05f=1100

750-.03f+.05f=1100

750+.02f=1100

.02f=350

f=$17500

So Mary invested $17500 @ 5% and 7500 at 3% to earn $1100 in interest.

3 0

3 years ago

Find the coordinates of the midpoint of LB if L(8,5) and B(-6,2) 10 points!!!

KATRIN_1 [288]

Answer:

A, (1, 3+1/2)

Step-by-step explanation:

Midpoint formula for reference: m= {(x1 + x2)/2, (y1 + y2)/2}

Plugging in the points we get: m= {(8 - 6)/2, (5 + 2)/2}

Now we simplify using PEMDAS. First step is parentheses.

m= {2/2, 7/2}

Simplifying again (and making 7/2 a mixed number), it becomes

m= {1, 3+1/2}

Hope this helps!

3 0

3 years ago

1. Which point on the axis satisfies the inequality y

grigory [225]

Answer:

1) Point $(1,0)$ -----> see the attached figure N $1$

2) The value of x is $4$

3) I quadrant

4) $(1,1)$

5) $y>-5x+3$

Step-by-step explanation:

Part 1)

we know that

If the point satisfy the inequality

then

the point must be included in the shaded area

The point $(1,0)$ is included in the shaded area

Part 2)

we have

$x-2y\geq 4$

see the attached figure N $2$

we know that

The value for x on the boundary line and the x axis is equal to the x-intercept of the line $x-2y= 4$

For $y=0$

Find the value of x

$x-2(0)= 4$

$x=4$

The solution is $x=4$

Part 3)

we have

$x\geq 0$ -----> inequality A

The solution of the inequality A is in the first and fourth quadrant

$y\geq 0$ -----> inequality B

The solution of the inequality B is in the first and second quadrant

the solution of the inequality A and the inequality B is the first quadrant

Part 4) Which ordered pair is a solution of the inequality?

we have

$y\geq 4x-5$

we know that

If a ordered pair is a solution of the inequality

then

the ordered pair must be satisfy the inequality

we're going to verify all the cases

case A) point $(3,4)$

Substitute the value of x and y in the inequality

$x=3,y=4$

$4\geq 4(3)-5$

$4\geq 7$ ------> is not true

therefore

the point $(3,4)$ is not a solution of the inequality

case B) point $(2,1)$

Substitute the value of x and y in the inequality

$x=2,y=1$

$1\geq 4(2)-5$

$1\geq 3$ ------> is not true

therefore

the point $(2,1)$ is not a solution of the inequality

case C) point $(3,0)$

Substitute the value of x and y in the inequality

$x=3,y=0$

$0\geq 4(3)-5$

$0\geq 7$ ------> is not true

therefore

the point $(3,0)$ is not a solution of the inequality

case D) point $(1,1)$

Substitute the value of x and y in the inequality

$x=1,y=1$

$1\geq 4(1)-5$

$1\geq -1$ ------> is true

therefore

the point $(1,1)$ is a solution of the inequality

Part 5) Write an inequality to match the graph

we know that

The equation of the line has a negative slope

The y-intercept is the point $(3,0)$

The x-intercept is a positive number

The solution is the shaded area above the dashed line

the equation of the line is $y=-5x+3$

The inequality is $y>-5x+3$

3 0

4 years ago

Read 2 more answers

If a two-sided null hypothesis is rejected for a single mean at a given significance level, the corresponding one-sided null hyp

maria [59]

Answer:

my hypothesis is that the answer is on page 31 of Harry potter and the Prisoner of Azkaban, it'll be the 48th word. God speed old chum

Step-by-step explanation:

3 0

3 years ago