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Marianna [84]
3 years ago
6

See image for details on question

Mathematics
1 answer:
exis [7]3 years ago
7 0

Answer:

x +3

Step-by-step explanation:

You can solve this by factoring.

The numbers have to add to 10 and multiply to 21.

The first numbers that should come to mind are 7 and 3

(x+3)(x+7)

x+3 is the shorter side and there you go :)

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The ratio of the volume of soda in glass A to the volume of glass B is 8/3 to 7/2
MrRa [10]

Answer:

Total volume in the two glasses is 740 mL.

Step-by-step explanation:

Given:

Ratio of the volume of soda in glass A to the volume of glass B  =   8/3 : 7/2

Volume of soda in glass A = 320mL

To Find :

The total volume in the two glasses = ?

Solution:

Let the volume of soda in  glass B  be x

then

\text{ratio of soda in glass A} \times \text{ the volume of soda in glass B} = \text{ratio of soda in glass B} \times \text{ the volume of soda in glass A}

Substituting the values ,

\frac{8}{3} \times x  = \frac{7}{2} \times 320

\frac{8}{3} \times x  = \frac{2240}{2}

\frac{8}{3} \times x  = 1120

x  = 1120 \times \frac{3}{8}

x  = \frac{3360}{8}

x = 420

Now  total volume of soda in the two glasses

=> volume of soda in glass A + volume of soda in glass B

=> 320 + 420

=>740mL

5 0
3 years ago
PLEASE HELP ILL GIVE BRAINLIEST!!!! AND WORTH MORE THEN 10 POINTS
Tanzania [10]

Answer: 27 ft

Step-by-step explanation:

Given

the angle of elevation is \theta =4^{\circ}

Length of track is L=387\ ft

Vertical rise is given by

\Rightarrow \sin (4^{\circ})=\dfrac{H}{387}\\\\\Rightarrow H=387\sin (4^{\circ})=26.99\approx 27\ ft

4 0
3 years ago
Could u help me with this I got stuck and I don’t know how to finish
NikAS [45]

Answer:

10

Step-by-step explanation:

The IQR is the width of the box of the box plot. The box runs from 20 to 30, so its width is 10.

5 0
3 years ago
Read 2 more answers
Find the value of k given that the line through (k,2) and (7,0) is perpendicular to the line y=x-28/5
Tanzania [10]
Y = x - 28/5. The slope here is 1. A perpendicular line will have a negative reciprocal slope. So our perpendicular line will have a slope of -1.

slope = (y2 - y1) / (x2 - x1)
(k,2)....x1 = k and y1 = 2
(7,0)...x2 = 7 and y2 = 0
sub
slope = (0 - 2) / (7 - k)
slope = -2 / ?......now if we want the slope to be -1..that means the number where the question mark is has to be 2....for that to happen, k has to be 5...because 7 - 5 = 2.

so ur answer is : k = 5
5 0
3 years ago
Read 2 more answers
Solve for X. Grade 7 math.
Dimas [21]

Answer:

x=8

Step-by-step explanation:

9x - 8 = 64 (being vertically opposite angles)

9x = 64 + 8

x=72/9

x=8

9x -8

9*8 -8

72-8

64

8 0
3 years ago
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