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OlgaM077 [116]
3 years ago
15

Mrs. Mahoney went shopping for the some canned goods, which were on sale. She bought three times as many cans of tomatoes as can

s of peaches. The number of cans of tuna was twice the number of cans of peaches. If Mrs. Mahoney purchased a total of 24 cans, how many of each did she buy?
Mathematics
1 answer:
tiny-mole [99]3 years ago
6 0
Tomatoe is three peaches
tuna is two peaches
peach is one peach
1p+2p+3p = 24 cans
6p=24
she bought 4 peaches
12 tomatoes
8 tuna
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Which points of the following points are solutions to the equation 3x-4y-8=12
Natali [406]

Answer:

(0, -5), (4, -2), (-16, -17)

Step-by-step explanation:

I attach your full question in the image below

The equation is

3x-4y-8=12

Which can be rewritten as

3x-4y =12 +8

3x-20 = 4y

y = (3/4)*x - 5

We need to check each individual case

(0,-5)

y = (3/4)*(0) - 5  

y = -5

True

(4,-2)

y = (3/4)*(4) - 5  

y = -2

True

(8,2)

y = (3/4)*(8) - 5  

y = 1

False

(-16,-17)

y = (3/4)*(-16) - 5  

y = -17

True

(-1,-8)

y = (3/4)*(-1) - 5  

y = -23/4

False

(-40,-34)

y = (3/4)*(-40) - 5  

y = -35

False

(0,-5) (4,-2) and (-16,-17) are the solutions

8 0
3 years ago
The area of a rectangular wall of a barn is 252 square feet. Its length is 10 feet longer than twice its width. Find the length
valentinak56 [21]

Answer: Length = 28 feet and width = 9 feet

Step-by-step explanation:

Let x = width of the wall.

Then, Length of the wall =  10+2x

Since , Area of rectangle = length x width

Then, as per given,

252= (10+2x)x\\\\\Rightarrow\ 252=10x+2x^2\\\\\Rightarrow\ 2x^2+10x-252=0\\\\\Rightarrow\ x^2+5x-126=0\\\\\Rightarrow\ x^2+14x-9x-126=0\\\\\Rightarrow\ (x+14)-9(x+14)=0\\\\\Rightarrow\ (x+14)(x-9)=0\\\\\Rightarrow\ x=-14 \ or \ x= 9

Since width cannot be negative , so x = 9

So width = 9 feet and length = 10+2(9)=10+18 = 28 feet

Hence, length is 28 feet and width is 9 feet of the wall of the barn.

7 0
3 years ago
The points $(7, -6)$ and $(-3, -4)$ are the endpoints of a diameter of a circle. What is the sum of the coordinates of the cente
Ymorist [56]
Please answer please please thank you
5 0
3 years ago
Of the 22 students in the class, 16 of them are boys.
Eddi Din [679]
22 students...16 boys

probability student will be a boy is 16/22 which reduces to 8/11 or 72.7%
6 0
3 years ago
A furniture shop sells sofas for $680. If the shop wanted to offer the lower price of $540, what rate of markdown would it have
solmaris [256]

Answer:

down in rate = 680-540 = 140

% change = 140*100/680 = 20.58%

6 0
3 years ago
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