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2 years ago

Jessica was trying to determine if her friends that had a two story house also had a minivan. She surveyed her

Mathematics

2 answers:

Pavel [41]2 years ago

7 0

Answer:

this is easy is C

Step-by-step explanation:

Naddik [55]2 years ago

6 0

The answer should be C

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Caleb solved this equation and recorded his work. 7.4x + 4.1(2x − 4) = −2.3(x − 6) − 21.6 1. 7.4x + 8.2x − 16.4 = −2.3x + 13.8 −

IRINA_888 [86]

For this case we have the following equation:
$7.4x + 4.1 (2x - 4) = -2.3 (x - 6) - 21.6
$
Step 1 of the solution is to make the distributive property.
We have then:
$7.4x + 8.2x - 16.4 = -2.3x + 13.8 - 21.6
$
Step 1 is correct.
The step is to combine similar terms. Caleb wrote: $7.4x + 8.2x - 16.4 = -2.3x + 35.4
$
He wrongly combined the similar terms on the right side of the equation.
The correct solution is: $7.4x + 8.2x - 16.4 = -2.3x -7.8
$
Answer:
In step 2, the like terms were not combined on the right side of the equation.

6 0

2 years ago

Read 2 more answers

The area of ABED is 49 square units. Given AGequals9 units and ACequals10 units, what fraction of the area of ACIG is represent

Mrac [35]

Answer:

The fraction of the area of ACIG represented by the shaped region is 7/18

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the square ABED find the length side of the square

we know that

AB=BE=ED=AD

The area of s square is

$A=b^{2}$

where b is the length side of the square

we have

$A=49\ units^2$

substitute

$49=b^{2}$

$b=7\ units$

therefore

$AB=BE=ED=AD=7\ units$

step 2

Find the area of ACIG

The area of rectangle ACIG is equal to

$A=(AC)(AG)$

substitute the given values

$A=(9)(10)=90\ units^2$

step 3

Find the area of shaded rectangle DEHG

The area of rectangle DEHG is equal to

$A=(DE)(DG)$

we have $DE=7\ units$

$DG=AG-AD=9-7=2\ units$

substitute $A=(7)(2)=14\ units^2$

step 4

Find the area of shaded rectangle BCFE

The area of rectangle BCFE is equal to

$A=(EF)(CF)$

we have

$EF=AC-AB=10-7=3\ units$

$CF=BE=7\ units$

substitute

$A=(3)(7)=21\ units^2$

step 5

sum the shaded areas

$14+21=35\ units^2$

step 6

Divide the area of of the shaded region by the area of ACIG

$\frac{35}{90}$

Simplify

Divide by 5 both numerator and denominator

$\frac{7}{18}$

therefore

The fraction of the area of ACIG represented by the shaped region is 7/18

5 0

2 years ago

What is the coefficient of the x9y-term in the binomial expansion of (2y + 4x3)4? 4 32 128 512

Nesterboy [21]

512 is the coefficient of the x9y-term

5 0

2 years ago

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Find a122 of the sequence 5, 8, 11

ruslelena [56]

5, 8, 11, ... is an arithmetic sequence where:

$a_1=5;\ a_2=8;\ d=8-5=3\\\\a_n=a_1+(n-1)d\to a_n=5+(n-1)\cdot3=5+3n-3=2+3n\\\\therefore\\\\a_{122}=2+3\cdot122=2+366=368$

8 0

2 years ago

Lindy works at a pizza restaurant and gets a 10% employee discount. She knows that if she orders d drinks and a medium pizza wit

guajiro [1.7K]

Answer: OPTION D.

Step-by-step explanation:

You know that Lindy's total cost can be found using this expression provided in the exercise:

$0.90(2.25d + 1.40t + 6)$

Where "d" is the number of drinks she orders and "t" is the number of toppings for a medium pizza she orders.

Since she and her friends to order 4 drinks and a medium pizza with 3 toppings, you can find the total cost by substitute values into the given expression.

The values are:

$d=4\\\\t=3$

Substituting into the expression and evaluating, you get:

$0.90(2.25d + 1.40t + 6)= 0.90(2.25(4) + 1.40(3) + 6)=\$17.28$

4 0

2 years ago

Read 2 more answers