Ask question

Ask question

All categories

2 years ago

14

Billy has a gift card with $150 balance. He buys several video games that cost $35.00 each. After the purchases, his gift card b

alance is $45. Write an equation to help find out how many video games Billy bought

1 answer:

Advocard [28]2 years ago

7 0

$35 * 3 = $105 + $45 = $150

You might be interested in

A rectangular swimming pool is 8 ft deep. One side of the pool is 4.5 times longer than the other. The amount of water needed to

AysviL [449]

Answer:

<h2> length= 42, width=12, depth=8</h2>

Step-by-step explenation:

8 0

2 years ago

One satellite is scheduled to be launched from Cape Canaveral in Florida, and another launching is scheduled for Vandenberg Air

Lisa [10]

Answer:

$P(A) = 0.45$

$P(B) = 0.32$

Step-by-step explanation:

Given

$P(A) > P(B)$

$P(A\ u\ B) = 0.626$

$P(A\ n\ B) = 0.144$

Required

Find P(A) and P(B)

We have that:

$P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)$ --- (1)

and

$P(A\ n\ B) = P(A) * P(B)$ --- (2)

The equations become:

$P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)$ --- (1)

$0.626 = P(A) + P(B) - 0.144$

Collect like terms

$P(A) + P(B) = 0.626 + 0.144$

$P(A) + P(B) = 0.770$

Make P(A) the subject

$P(A) = 0.770 - P(B)$

$P(A\ n\ B) = P(A) * P(B)$ --- (2)

$0.144 = P(A) * P(B)$

$P(A) * P(B) = 0.144$

Substitute: $P(A) = 0.770 - P(B)$

$[0.770 - P(B)] * P(B) = 0.144$

Open bracket

$0.770P(B) - P(B)^2 = 0.144$

Represent P(B) with x

$0.770x - x^2 = 0.144$

Rewrite as:

$x^2 - 0.770x + 0.144 = 0$

Expand

$x^2 - 0.45x - 0.32x + 0.144 = 0$

Factorize:

$x[x - 0.45] - 0.32[x - 0.45]= 0$

Factor out x - 0.45

$[x - 0.32][x - 0.45]= 0$

Split

$x - 0.32= 0 \ or\ x - 0.45= 0$

Solve for x

$x = 0.32\ or\ x = 0.45$

Recall that:

$P(B) = x$

So, we have:

$P(B) = 0.32 \ or \ P(B) = 0.45$

Recall that:

$P(A) = 0.770 - P(B)$

So, we have:

$P(A) = 0.770 - 0.32 \ or\ P(A) =0.770 - 0.45$

$P(A) = 0.45 \ or\ P(A) =0.32$

Since:

$P(A) > P(B)$

Then:

$P(A) = 0.45$

$P(B) = 0.32$

6 0

2 years ago

Line A passes through the coordinate points (-2/5,0) and (0,1). Which of the following lines will line A never intersect?

expeople1 [14]

Answer:

Option B

Step-by-step explanation:

Only lines which are parallel to the line which connects the given two points will neve r intersect,

parallel line has same slope

the slope of the line which connects the given two points is, 5/2

and the line is option B also has the same slope, so those two lines will never intersect each other.

Answered by GAUTHMATH

4 0

2 years ago

Follow the steps to find the area of the shaded region.

victus00 [196]

The area of the sector, to 4 decimal places, is 78.6794 cm².

We have given that,

Sector Area= ( angle of sector/360). R2

We have to determine the Sector Area

<h3>What is the Area of a Sector of a Circle?</h3>

Area of sector = ∅/360 × πr².

We have given the following:

∅ = 46°

Radius (r) = 14 cm

Area of sector = 46/360 × π(14²)

Area of sector ≈ 78.6794 cm²

The area of the sector is approximately 78.6794 cm².

Learn more about the area of the sector on:

brainly.com/question/8159268

#SPJ1

7 0

1 year ago

Write an equation (the bottom square on the left is 3/2 btw) I WILL GIVE BRAINLIST IF ANSWER IS RIGHT

madreJ [45]

W is 3.5/2 in fraction and 1.75 ind decimal

8 0

2 years ago