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Helga [31]
2 years ago
4

Lucy is a dress maker. she sews \dfrac47 ​7 ​ ​4 ​​ start fraction, 4, divided by, 7, end fraction of a dress in \dfrac34 ​4 ​ ​

3 ​​ start fraction, 3, divided by, 4, end fraction hour. lucy sews at a constant rate. at this rate, how many dresses does lucy sew in one hour?
Mathematics
2 answers:
aleksley [76]2 years ago
5 0

Answer:

16/21

Step-by-step explanation:

Marat540 [252]2 years ago
3 0
The first thing you should do for this case is to solve the problem by applying a simple three rule like the following
 4/7 ---> 3/4
 x ----> 1
 clearing x we have the amount of dresses Lucy sews in an hour:
 x = (1 / (3/4)) * (4/7)
 x = (4/3) * (4/7) = 16/21
 answer
 lucy sew 16/21 dresses in one hour
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On an algebra test, the highest grade was 42 points higher than the lowest grade. The sum of the two grades was 138. Find the lo
miv72 [106K]


you could use this equation to help you solve it;

x + (x + 42) = 138

the first step is to combine like terms;

2x = 138 -42

2x = 96

X = 96/2

X = 48

we already solved for x now substitute it in the equation I gave you.

48 + (48 + 42) = 138

48 + 90 = 138

hope it helped...if you have any concerns just let me know:) 

3 0
2 years ago
The total height of the Statue of Liberty and its pedestal is 153 feet more than the height of the statue. Write and solve an eq
horsena [70]

Answer:

The height of the statue is 152 feet

Step-by-step explanation:

<u><em>The complete question is :</em></u>

The total height of the Statue of Liberty and its pedestal is 305 feet. This is 153 more than the height of the statue. Write and solve an equation to find the height h (in feet) of the statue.

Let

h ----> the height of the statue in feet

p ---> the height of the pedestal in feet

we know that

h+p=305 ----> equation A

h+153=h+p ---> equation B

so

substitute equation A in equation B and solve for h

h+153=305

subtract 153 both sides

h=305-153

h=152\ ft

7 0
2 years ago
Triangle ABE is similar to triangle ACD. AED and ABC are straight lines. EB and DC are parallel. AE = 5 cm, BC = 4.5 cm, BE = 4
lianna [129]

Answer:

y = 16x/65

Step-by-step explanation:

Given:

Triangle ABE is similar to triangle ACD. AED and ABC are straight lines

EB and DC are parallel

The area of quadrilateral BCDE = xcm²

The area of triangle ABE = ycm²

Find attached the diagram from the above information.

In similar triangles, the ratio of their corresponding angles are equal.

Also, the ratio of the area of the two triangles = square of ratio of the corresponding sides of the two triangles.

Area ∆ACD/area of ∆ABE = (DC/EB)²

Area ∆ACD/area of ∆ABE = [(area of quadrilateral BCDE +

area of ∆ABE)]/(area of ∆ABE)

(x+y)/y = (DC/EB)²

(x+y)/y = (9/4)²

x+y = (81/16)y

x = (81/16)y - y

x = (81y - 16y)/16

x = 65y/16

Making y subject of formula

16x = 65y

y = 16x/65

An expression for y in terms of x:

y = 16x/65

3 0
2 years ago
What number is represented by 4x²+17x+2 if x=10?
Fynjy0 [20]

Answer:

at x = 10,   4x^{2}  + 17x + 2  = 572

Step-by-step explanation:

The given equation is 4x^{2}  + 17x + 2

Here, lets substitute the value of x = 10

So, the equation simplifies to ,

4 \times (10)^{2}  + 17(10) + 2

= (4 x 100)  + 170 + 2 = 400 + 170 + 2

= 572

So, at x = 10,   4x^{2}  + 17x + 2 = 572

4 0
2 years ago
Vonna scored 36 goals in her soccer kicking practice. If her​ success-to-failure rate was 9​:8​, how many times did she attempt
makvit [3.9K]

Answer:

42 i think

Step-by-step explanation:

this is sssniperwolf im on to talk to fans

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8 0
2 years ago
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