Answer choices - a: x = -9 b: x = 2 c: x = -4/3 d: x = 67

Manuel bought 9 pounds of apples. He has eaten three fourths

Diano4ka-milaya [45]

1. So, since Manuel bought 9 pounds and ate 3/4 of 1 pound, he has 8.25 pounds left (9 - 0.75 = 8.25)

2. Let us call "x" the cost of 1 pound of apples

3. (8.25) * (x) = $15

4. x = $1.81818 rounded to the nearest dollar is $2 / pound

6 0

3 years ago

Please help with this arc equation.

boyakko [2]

Answer:

Part 1) $arc\ AB=49^o$

Part 2) $arc\ ABC=204^o$

Part 3) $arc\ BAC=156^o$

Part 4) $arc\ ACB=311^o$

Step-by-step explanation:

Part 1) Find the measure of arc AB

we know that

$arc\ AB=m\angle AOB$ ----> by central angle

we have

$m\angle AOB=49^o$

therefore

$arc\ AB=49^o$

Part 2) Find the measure of arc ABC

we know that

The central angle of complete circle is equal to 360 degrees

so

$arc\ ABC=360^o-107^o-49^o=204^o$

Part 3) Find the measure of arc BAC

we know that

$arc\ BAC=arc\ BA+arc\ AC$ ----> by angle addition postulate

we have

$arc\ BA=49^o$ ---> by central angle

$arc\ AC=107^o$ ---> by central angle

so

$arc\ BAC=49^o+107^o=156^o$

Part 4) Find the measure of arc ACB

we know that

The central angle of complete circle is equal to 360 degrees

so

$arc\ ACB=360^o-arc\ AB$

substitute

$arc\ ACB=360^o-49^o=311^o$

4 0

2 years ago

A gaming console cost $299.99. Each game that comes with the console is an additional cost of $20.00. Mr. Yao decide to by x num

givi [52]

This question is not correctly written

Complete Question

A gaming console cost $299.99. Each game that comes with the console is an additional cost of $20.00. Mr. Yao decide to by x number of games Write a variable expression for cost of the number of games Mr. Yao bought

Answer:

Variable expression for the cost of the number of games that Mr Yao bought =

$20x

Where x = number of games that he bought.

Step-by-step explanation:

A variable expression can be defined as a mathematical expression where there is at least one (or more) unknown variable(s)that we have to look or solve for.

The unknown variable is always represented by letters of the alphabet, a, b, x, y e.t.c.

A variable expression can also be called an algebraic expression.

From the above question, we are told that:

Cost of a gaming console = $299.99

If you buy a game with the console = Additional $20.00

My Yao bought = x number of games

Variable expression for the cost of the x number of games that Mr Yao bought

$20 × x

= $20x

Where x = number of games that Mr Yao bought.

4 0

3 years ago

Which number number is equal to |-12|-|-3| ?

Vera_Pavlovna [14]

9 because the symbols around -12 and -3 so they would just become positive number 12 and 3. Subtract them and you get 9 :)

6 0

2 years ago

Jimmy Andrew and Richard collect comic books. Jimmy has five more comic books than Andrew, and Richard has four times as many co

adell [148]

Answer: Andrew = 20

Jimmy = 25

Richard = 100

Step-by-step explanation:

Let the number of Andrew's comic books be y.

Jimmy has five more comic books than Andrew. This means Jimmy has: y+5

Richard has four times as many comic book as jimmy. This means Richard has: 4(y+5) = 4y + 20

Since there are 145 comic books together. This can be rewritten as:

y + (y+5) + (4y+20) = 145

6y+25 = 145

6y = 145 - 25

y = 120/6

y = 20

Andrew has 20 comic books

Jimmy has five more comic books than Andrew. Jimmy has: 20+5 = 25

Richard has: 4y + 20 = 4(20) + 20 = 100

5 0

3 years ago