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kodGreya [7K]
3 years ago
13

Factor the trinomial: 2x^2+13x+21

Mathematics
1 answer:
svet-max [94.6K]3 years ago
3 0

Answer:

(2x + 7)(x + 3)

Step-by-step explanation:

2x² + 13x + 21

2x² + 6x + 7x + 21

2x(x + 3) +7(x + 3)

(2x + 7)(x + 3)

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Mark is building a custom wooden frame around his flower bed. The length of the frame is 5.45 feet ,and the width of the frame i
LUCKY_DIMON [66]

Answer:

17.84875

Step-by-step explanation:

5.45 x 3.275 = 17.84875

8 0
3 years ago
Draw and label a tape diagram to subtract 10, 20, 30
Svet_ta [14]
This isnt something I can do... But draw and label a tape diagram that goes from 0 to 30. 
8 0
3 years ago
A store keeper buys a fishing rod for $20 and sells it for $5 more than he bought it for. express this profit or gain as a perce
nataly862011 [7]
25/20 × 100% = 125%

125% - 100% = 25%

25% profit :)
5 0
3 years ago
Naty bought a dress for $24.95 and a skirt for $14.95.
FrozenT [24]

Answer:

Total items = $39.90

Sales tax amount = $3.7905

Total cost = $43.691

The clerk's error is using 9.5 as sales tax amount instead of finding 9.5% of the total items

Step-by-step explanation:

Dress = $24.95

Skirt = $14.95

steps the clerk completed.

Step 1: 24.95 + 14.95 = 39.90

Step 2: 39.90 +9.5 = 49.40

Correct steps:

Total items = dress + skirt

= $24.95 + $14.95

= $39.90

Sales tax = 9.5%

Sales tax amount = 9.5% of total

= 9.5/100 × $39.90

= 0.095 × 39.90

= $3.7905

Total cost = Total + sales tax amount

= $39.90 + $3.7905

= $43.6905

To the nearest hundredth

= $43.691

Sales tax is the amount of money imposed by government on the sales of some items

Total cost is the cost of all items including sales tax

7 0
3 years ago
Jerry has a miniature model of a boat. He knows that the boat is 3 3/4 inches wide and 5 1/2 inches long. What is the actual len
FromTheMoon [43]

Width of the miniature model = 3\frac{3}{4} inches

Length of the miniature model = 5\frac{1}{2} inches

The actual width of the boat = 15 feet

Let us find the actual length of the boat.

Write it in a proportion form.

width of model : length of model : : width of actual : length of actual

$\Rightarrow 3\frac{3}{4}:5\frac{1}{2}::15:x

$\Rightarrow\frac{15}{4}:\frac{11}{2}::15:x

$\Rightarrow\frac{\frac{15}{4}}{\frac{11}{2}} =\frac{15}{x}

Do cross multiplication.

$\Rightarrow{\frac{15}{4}x =15\times\frac{11}{2}

$\Rightarrow{\frac{15}{4}x =\frac{165}{2}

$\Rightarrow x =\frac{165}{2}\times{\frac{4}{15}

⇒ x = 22

Hence the actual length of the boat is 22 feet.

6 0
3 years ago
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