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Debora [2.8K]
3 years ago
5

The sum of 7 times one number, x, and 4 times a second number, y, is 148. If the sum of the two numbers is 31, find the two numb

ers.
Enter a system of equations to represent the situation, then solve the system.

The system of equations is ___ and ___
The first number is ___ and the second number is ___.
Mathematics
1 answer:
Andreas93 [3]3 years ago
6 0

Answer:21.88

Step-by-step explanation:

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Anyone care to help? :)
Elan Coil [88]
So when you factor this the answer would be (1w - 3)(5w + 1) because since 5 is an odd number you have to break it up with us only factores then you find the GCF for 3 and then you have to find the signs that when you multiply them it gives you - 14

7 0
3 years ago
Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are sum
Naddika [18.5K]

Answer:

P(A) = 86/100

P(B) = 79/100

P(A') = 14/100

P(A U B) = 95/100

P(A' U B) = 84/100

Step-by-step explanation:

i. P(A) = number of disks with high shock resistance/total number of disks

= (70+16)/100

= 86/100

ii. P(B) = number of disks with high scratch resistance/total number of disks

= (70+9)/100

= 79/100

iii. P(A') = number of disks without high shock resistance/total number of disks

= (100-86)/100

= 14/100

iv. P(AUB) = number of disks with high shock resistance or high scratch resistance/total number of disks

= (70+9+16)/100

= 95/100

v. P(A'UB) = number of disks without high shock resistance or with high scratch resistance/total number of disks

= (5+9+70)/100

= 84/100

3 0
3 years ago
Solve the system of equations.<br> 7y + 10.x = -11<br> 4y - 3x = -15
Sidana [21]

Answer:

x= 1

y= -3

Step-by-step explanation:

multiply them to get common factor for y or x:

3(7y+10x=-11)

10(4y-3x=-15)

21y+30x=-33

40y-30x=-150    <em>x's cancel out so solve for y</em>

61y = -183

/61      /61

y = -3                 <em> insert y into either equation and solve for x</em>

<em />

<em>4(-3) -3x=-15</em>

<em>x = 1</em>

7 0
3 years ago
PLEASE HELP
Rudik [331]
y=75\ \ \ \ x=5\\\\&#10;y=?\ \ \ \ \ x=3\\\\&#10;proportion:\\&#10;\frac{75}{y}=\frac{5}{3}\ \ \ | cross\ multiplication\\\\&#10;75*3=5y\\\\&#10;225=5y\ \ \ | divide\ by\ 5\\\\&#10;y=45&#10;
5 0
4 years ago
PART A. A fruit juice recipe uses three ingredients. Two of the ingredients use a ratio of 2 ounces of pineapple juice to 5 ounc
Rashid [163]

Answer:

(B) The equation of line is 5 X = 2 Y.

Step-by-step explanation:

2 ounces of pineapple juice

5 ounces of fruit punch

Other is 4 ounces pineapple juice and 10 ounces fruit punch

(A) Graph is shown below:

(B) Let X is the pineapple juice and Y is the fruit punch

(2, 5)  and (4, 10)

So, the equation of line is

Y - 5 = \frac{10-5}{4-2}\times (x -2)\\\\Y-5=2.5 (X-2)\\\\Y - 5 = 2.5 X - 5 \\\\2.5 X = Y\\\\ 5 X = 2 Y

8 0
3 years ago
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