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Cerrena [4.2K]
3 years ago
12

A rectangular garden has a length twice as great as its width. A second rectangular garden has the same length as the first gard

en and width that is 4 meters greater than the width of the first garden. The second garden has an area of 120 square meters.
What is the length of the two gardens?
Mathematics
1 answer:
Artyom0805 [142]3 years ago
5 0

Answer:

length of each is 12 meters

Step-by-step explanation:

for larger rectangle:

let '2w' = length

let 'w+4' = width

2w(w+4) = 120

2w² + 8w - 120 = 0

simplify by dividing each term by 2 to get:

2(w² + 4x - 60) = 0

(w-6)(w+10) = 0

width cannot be negative 10 and is therefore equal to 6

since length is '2w' then length is 2(6) which is 12

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The fifth grade teachers took their classes on a field trip to museum first group had 25 students and two teachers and cost $97.
iren [92.7K]

Answer:


Step-by-step explanation:

S=student cost; T=teacher cost

.

32S+3T=$127 . Multiply this by 2.

64S+6T=$254 Subtract this below

.

25S+2T=$97.50 . Multiply this by 3.

75S+6T=$292.50

64S+6T=$254 . Subtract this (from above.)

.

11S=$38.50

S=$3.50

ANSWER 1: Student tickets cost $3.50.


.

32S+3T=$127

32($3.50)+3T=$127

$112+3T=$127

3T=$15

T=$5.00

ANSWER 2: Teacher tickets cost $5.00.

.

CHECK:

25S+2T=$97.50

25($3.50)+2($5.00)=$97.50

$87.50+$10.00=$97.50

$97.50=$97.50


4 0
3 years ago
Kelly deposited $4,205 in an account for 3.5 years. She earned $662.29 in interest. What interest rate did the bank pay her?
mylen [45]

Answer:

r = 4.5%

Step-by-step explanation:

Formula:

I = Prt

r = I/(Pt)

Given:

I = 662.29

P = 4205

t = 3.5

Work:

r = I/(Pt)

r = 662.29/(4205 * 3.5)

r = 662.29/14717.5

r = 0.045

r = 4.5%

5 0
3 years ago
Write the expression in repeated multiplication form. Then write the expression as a power. (-8)^3*(-8)^4 The expression in repe
Makovka662 [10]

Given:

The expression is

(-8)^3\cdot (-8)^4

To find:

The expression in repeated multiplication form and then write the expression as a power.

Solution:

We have,

(-8)^3\cdot (-8)^4

The repeated multiplication form of this expression is

=[(-8)\cdot (-8)\cdot (-8)]\cdot [(-8)\cdot (-8)\cdot (-8)\cdot (-8)]

=(-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)

Clearly, (-8) is multiplied seven times by itself. So,

=(-8)^7

Therefore, the repeated multiplication form of the given expression is (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8) and the expression as single power is (-8)^7.

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3 years ago
To be considered for pilot school, 12 students took a spatial reasoning test that resulted in this list of scores. find the perc
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<span>a. 17th percentile First, take the data and sort it in increasing order, getting: 98 101 117 121 122 127 130 137 138 143 145 152. The score of 117 is greater than 2 of the scores out of a total of 12 scores. So the percentile rank is 2/12 = 0.1666667 = 16.66667, or the 17th percentile. Therefore the answer is "a. 17th percentile"</span>
7 0
4 years ago
Write a division problem with a quotation of 3 and a remainder of 28
Vanyuwa [196]
115/29 should work for your problem
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3 years ago
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