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3 years ago

Plz help!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

Murljashka [212]3 years ago

6 0

For absolute values inequalities, you set up two equations:

x - 4 ≤ 7 and x - 4 ≥ - 7

Now, solve like regular by adding 4 to both sides. You are left with:

x ≤ 11 and x ≥ - 3

This translates to:

- 3 ≤ x ≤ 11

Option D is your answer.

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A park is mapped on a coordinate plane, where C1, C2, C3, and C4 represent chairs and SW1, SW2, and SW3 represent swings. How fa

serg [7]

Answer:

Option (B)

Step-by-step explanation:

To calculate the distance between C2 and SW1 we will use the formula of distance between two points $(x_1,y_1)$ and $(x_2,y_2)$ .

d = $\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^2 }$

Coordinates representing positions of C2 and SW1 are (2, 2) and (-6, -7) respectively.

By substituting these coordinates in the formula,

Distance between these points = $\sqrt{(-6-2)^2+(-7-2)^2}$

= $\sqrt{(64)+(81)}$

= $\sqrt{145}$ units

Therefore, Option (B) will be the correct option.

5 0

3 years ago

Read 2 more answers

A ticket for a school musical is $12. There is a 5% transaction fee if the ticket is purchased online. What is the total cost of

gulaghasi [49]

Answer: The cost of a ticket bought online is $12.60.

Step-by-step explanation: First, we need to find the value of the transaction fee. Multiply 12 and 5%.

$12 x 0.05 = $0.60.

Now we have the fee. Lets add the fee with the original cost.

$12 + $0.60 = $12.60.

Therefore, we can conclude that the cost of a ticket that is purchased online is $12.60.

3 0

2 years ago

Can some one please help me will give 94 points for it

NNADVOKAT [17]

You can solve this by using "similar triangles".

In triangle ABC, we are looking for side AC which is x. Side AC is similar to side DF in triangle EDF.

You can solve for side x by picking two sides in triangle ABC and their corresponding sides in triangle EDF. This is what I mean:
$\frac{AC}{BC} = \frac{DF}{EF}$
Substitute for the values of AC, BC, DF and EF:
$\frac{x}{4} = \frac{11}{8} \\ \\ 8x = 4 \times 11 \\ \\ x = \frac{44}{8}$
$x = 5.5 \: units$
To solve for y, do the same thing. Pick two sides on triangle ABC and their corresponding sides in triangle DEF.
$\frac{AB}{BC} = \frac{DE}{EF}$
Substitute for the values and solve:
$\frac{3}{4} = \frac{y}{8}$
$4y = 24 \\ \\ y = 6 \: units$

We have the value x to be 5.5 units and y to be 6 units.

7 0

2 years ago

Read 2 more answers

Mark can remember only the first 4 digits of his friend's phone number. He also knows that the number has 7 digits and that the

denis-greek [22]

Answer:

19800 seconds, or 330 minutes, or 5 hours + 30 minutes

Step-by-step explanation:

Number Permutations

We know the phone number has 7 digits, 4 of which are known by Mark. This leaves him 3 digits to guess with. We also know the last one is not zero. The number can be represented as

XXY

Where X can be any digit from 0 to 9 and Y can be any digit from 1 to 9. The first two can be combined in 10x10 ways, and the last one can be of 9 ways, this gives us 10x10x9 = 900 possible permutations.

If each possible number takes him 22 seconds, every possibility will need

22x900=19800 seconds, or 330 minutes, or 5 hours + 30 minutes

3 0

2 years ago

How many ml of 20 percent acid should be added to pure acid to make 70 ml of 30 percent acid?

Novay_Z [31]

Answer:

61.25%

Step-by-step explanation:

How many ml of 20 percent acid should be added to pure acid

to make 70 ml of 30 percent acid?

let x = amt of 20% mixture

then

(70-x) = amt of pure acid

0.20x + (70-x) =0 .30(70)

0.20x + 70 - x = 21

= 21 - 70

-0.8x =-49

x = 61.25%

x = +61.25 ml of 20% stuff

8 0

2 years ago