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erma4kov [3.2K]
3 years ago
8

8a + 5b = 9; 3a + 2b = 4

Mathematics
2 answers:
Marianna [84]3 years ago
7 0
This the the awnser for this

nevsk [136]3 years ago
4 0

Solve for the first variable in one of the equations, then substitute the result into the other equation.
a
=
−
2
,
b
=
5
a
=
-
2
,
b
=
5
T
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Work out<br> a) 4 1/3x6 <br> B) 2 3/5 x 3 1/3 <br><br><br> Give Answers as mixed numbers
anygoal [31]

Answer:

Solution of the given expression is 26

Solution of the given expression is 8.67

Step-by-step explanation:

Given:

a] 4\frac{1}{3} \times 6

b] 2\frac{3}{5} \times 3\frac{1}{3}

Find the solution;

Computation:

a] 4\frac{1}{3} \times 6

Step 1 ;

Changed mixed fraction into simple fraction

⇒ 13/3 x 6

Step 2 ;

⇒ 13 x 2

26

Solution of the given expression is 26

b] 2\frac{3}{5} \times 3\frac{1}{3}

Step 1 ;

Changed mixed fraction into simple fraction

⇒ (13/5) x (10/3)

Step 2 ;

⇒ 130 / 15

8.67

Solution of the given expression is 8.67

4 0
3 years ago
One case of books weighs 35 pounds. One case of magazines weighs 23 pounds.A book store wants to ship 72 cases of books and 94 c
RSB [31]
Shipment = 72 cases of books + 94 cases of magazines
1 case of books = 35 pounds
1 case of magazines = 23 pounds

Shipment = 72 × 35 + 94 × 23 pounds

72 × 35 = 2520
94 × 23 = 2162

Shipment = 2520 + 2162 pounds

Shipment = 4682 pounds
6 0
3 years ago
The seasonal output of a new experimental strain of pepper plants was carefully weighed. The mean weight per plant is 15.0 pound
DanielleElmas [232]

Answer:

There are 118 plants that weight between 13 and 16 pounds

Step-by-step explanation:

For any normal random variable X with mean μ and standard deviation σ : X ~ Normal(μ, σ)  

This can be translated into standard normal units by :  

Z = \frac{(X - \mu)}{\sigma}

Let X be the weight of the plant  

X ~ Normal( 15 , 1.75 )  

To find : P( 13 < X < 16 )  

= P(\frac{( 13 - 15 )}{1.75} < Z < \frac{( 16 - 15 )}{1.75})

= P( -1.142857 < Z < 0.5714286 )  

= P( Z < 0.5714286 ) - P( Z < -1.142857 )  

= 0.7161454 - 0.1265490  

= 0.5895965  

So, the probability that any one of the plants weights between 13 and 16 pounds is 0.5895965  

Hence, The expected number of plants out of 200 that will weight between 13 and 16 = 0.5895965 × 200

                                            = 117.9193  

Therefore, There are 118 plants that weight between 13 and 16 pounds.

4 0
3 years ago
For a button to fit through its button-hole the hole needs to be the size of the buttons diameter what size buttonhole is needed
Lena [83]

Answer:the size of the button hole is 2.35 cm

Step-by-step explanation:

For a button to fit through its button-hole, the hole needs to be the size of the buttons diameter.

The formula for determining the circumference of a circle is expressed as

Circumference = πd or 2πr

Where

d represents the diameter of the circle

π is a constant given as 3.14

From the information given, the circumference of the button is 7.38 cm. Therefore, the diameter of the button will be

d = circumference/π = 7.38/3.14

d = 2.35 cm

3 0
3 years ago
Four times the square of a non-zero number is equal to twelve times the number.
Whitepunk [10]
4x^2 = 12x
4x^2 - 12x = 0
4x(x - 3) = 0

4x = 0
x = 0...not this one

x - 3 = 0
x = 3 <== ur number
4 0
3 years ago
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