105 calories in bananas. 75 calories in apples. If Mary only eats these fruits and her total calorie intake is 1215 how many of each fruit did she eat

Answers

Answer 1

Answer:

3 bananas and 12 apples.

Step-by-step explanation:

105b+ 75a = 1215     where b is number of bananas and a is number of apples.

Divide each number by 15:

7b + 5a =  81

5a must end in 5 or 10 so 7b must end in 1 or 6.

So we try:

21 and 60:

7 * 3 + 5 *1 2 = 81

So b = 3 and a = 12.

Answer 2

The solution is

The number of bananas is = 3 bananas

The number of apples is = 12 apples

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of apples be = a

Let the number of bananas be = b

Now , the equation will be

The number of calories in bananas = 105 calories

The number of calories in apples = 75 calories

The total calories Mary takes = 1215 calories

So ,

Total calories Mary takes = number of apples x  number of calories in apples +  number of bananas x number of calories in bananas

Substituting the values in the equation , we get

75a + 105b = 1215

Divide by 15 on both sides of the equation , we get

5a + 7b = 81

So , substituting the values of a = 12 and b = 3 , we get

5 ( 12 ) + 7 ( 3 ) = 81

60 + 21 = 81

81 = 81

Therefore , the vale of a is 12 and value of b is 3

Hence ,

The number of bananas is 3 bananas

The number of apples is 12 apples

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Related Questions

If you order 3 pizzas, you will get 30 slices of pizza. How many slices are there in one pizza?

Answers

Answer:

There are 10 slices in one pizza.

Step-by-step explanation:

30 ÷ 3 = 10

Answer:

10 slices

Step-by-step explanation:

30÷3=10 meaning every pizza will have 10 slices and 2 pizzas will have 20.

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Are you sure it is Pythorgoren theorem because I was search for the answer but I could not find the answer this all it shows me

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Answer:

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the ans is in the picture with the steps  

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Step-by-step explanation:

What is the equation of a line perpendicular to y= 3x +6 that crosses the ordered pair (3,2).
(Hint: a line perpendicular to an equation has an opposite reciprocal slope)

Answers

Answer:

y=-[tex]\frac{1}{3}[/tex]x+3

Step-by-step explanation:

Points A, S, and R are ___.

Answers

Answer:

B

Step-by-step explanation:

I'm pretty sure it's B, (please let me know if I'm wrong.)  

Colinear means to be on the same straight line, which they are.  

Coplanar means to be in the same plane, which they appear to be as well.

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Please do number 16 for me. (With work)

Answers

Answer:

m<5 = 75°

Step-by-step explanation:

16. Given:

m<1 = 75°; m<3 = 40°

Required:

m<5

Solution:

Since lines A and B are parallel, and m<1 corresponds to m<5, therefore,

m<1 = m<5 (corresponding angles are congruent)

m<1 = m<5 = 75°

m<5 = 75°

which point on this number line best represents square route of 10

(tap the whole photo the see the equation)

Answers

Answer:

the answer is B

Step-by-step explanation:

since 10 isn't a perfect square

Adam has 3 coins in his pocket and they are all different from each other. Ben has 3 coins in his pocket and they are all the same as each other. Adam has half as much money as Ben.
What are the coins they each have?

Answers

Answer:

The possible coins are:

P = penny = $0.01

N = nickel = $0.05

D = dime = $0.10

Q = quarter = $0.25

H = half dollar = $0.50

We know that Adam has 3 coins in his pocket, and all of them are different, then the money that Adam has can be represented with (A + B + C)

Behn has 3 coins, and all of them are the same, then if his coin has a value X, he has a total of 3*X

We know that Adam has half as much money as Ben, this can be written as:

(A + B + C) = 3*X/2

The easier way to solve this, is to play with different values of X, and see if we can find the values of A, B and C.

For example, if X = $0.10

then:

(A + B + C) = $0.10*(3/2) = $0.15

We can find 3 different value of coins for this equation? No, we cant, so X = $0.10 is also discarded.

if x = $0.50 then:

(A + B + C) = (3/2)*$0.50 = $0.75

Here we could have:

A = $0.50

B = $0.25

then: A + B = $0.75

But we still have the coin C.

If we take X = $0.25 then:

(A + B + C) = (3/2)*$0.25 = $0.375

We could round the right part to $0.40

then the coins in the left part would be:

A = $0.25

B = $0.10

C = $0.05

A + B + C =  $0.25 + $0.10 +  $0.05 = $0.40

This is a strech, but is the only thing we can make with the given problem.

Solve for x 8.2/x =12/6.4

Answers

Answer: x=4.373

Step-by-step explanation: Have a brilliant day mate -Lily ^_^

Answer:

x=4.373 (put a repetend at the top of three last digit)

Step-by-step explanation:

Combine rational expressions and isolate variable x

can you help me please ​

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Answer:

GFKSKKGKKSFG

Step-by-step explanation:

YeS mOrE 9Th GrAdE mAtH (question for smart people)

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Answer:

A. 4x+13

Step-by-step explanation:

distribute the 4

(4x+20) -7

4x+13

Answer:

A

Step-by-step explanation:

Who here watches anime??!



(I sure do lol)

Answers

Answer:

me

Step-by-step explanation:

gbgtgrygthfthfthf i do lol

Me
I am currently watching the promised never land season 2 and dr stone stone wars

3. Write the function g(x) = -x2 - 4x in vertex form, using decimals as necessary.

Answers

Answer:

The vertex form is [tex]y=-(x+2)^2+4[/tex]

Step-by-step explanation:

solve the equation for all values of x by completing the square
[tex] {x}^{2} - 35 = - 2x[/tex]

Answers

Answer:

x=5  x= -7

Step-by-step explanation:

X=5
X=7
Hope that it is right

Jacob has 17 yards of fabric. He uses 1 third of it to make a cape. How many yards of fabric does Jacob use for the cape? zearn m4L7

Answers

Answer:

5 2/3

You multiply.

Help please I need help. :)

Answers

Answer:

yes

Step-by-step explanation:

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Answers

9514 1404 393

Answer:

  64/109 ≈ 0.5872

Step-by-step explanation:

41 + 23 = 64 of the events have outcome E.

An additional 35 + 10 = 45 do not.

The probability of an outcome of E is 64 out of a total of 64+45 = 109 events.

  P(E) = 64/109 ≈ 0.5872

What is 3(5)(5-2)+2

Answers

Answer:

47

Step-by-step explanation:

3 × 5 × (5-2) + 2

15 × (3) + 2

45 + 2

= 47

area of a isosceles triangle

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Answers

Answer:

145cm is the area I believe.

A jeweler sells a popular line of charm bracelets. Each bracelet includes one chain and a number of charms selected by the customer. The price of the chain is 25 dollars, and each charm costs c dollars. Which expressions represent the price, in dollars, of a charm bracelet with five charms? Select ALL that apply.

Answers

Answer:

Price of bracelet =  $(25 + 5c)

Step-by-step explanation:

As given,

A bracelet = 1 chain + Number of charm selected by customer

Also given,

Price of chain = $25

Price of each charm = $c

As,

we have to write equation for a bracelet with 5 charm

So,

Price of bracelet = Price of 1 chain + Price of 5 charm

As

Price of 1 charm = $c

⇒Price of 5 charm = $5×c = $5c

∴ we get

Price of bracelet = $25 + $5c = $(25 + 5c)

can somebody help me ? please .. if you answer you’ll get 20 points & brainlyiest if correct! ( sorry i might have spelled brainly wrong )

fiona is building a model car 1/12 scale. the axle of the original car is 6 feet long and has a diameter of 3 inches. what would be the measure of the diameter of the axle of the model car?

// answer choices //
a : 1/4 inch
b : 1/2 inch
c : 1 inch
d : 3/2 inch
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i inserted the image , typed in the question so it should be no complaint please help me! if not it’s okay.. thanks for stopping by if you bypass this without answering .

Answers

Answer: I think it should be a: 1/4 inch

Step-by-step explanation:

Choose the graph of the solution to this inequality. c – 12 ≥ –16 A number line with a closed dot at negative 4 shaded to the right. A number line with a closed dot at 4 shaded to the left. A number line with a closed dot at 4 shaded to the right. A number line with a closed dot at negative 2 shaded to the right.

Answers

c - 12 ≥ -16
c ≥ -4
Closed dot at -4, shaded to the right b

A number line with a closed dot at -4 is shaded to the right. Option A is correct.

What is a number line?

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,
Given inequality,
c – 12 ≥ –16

Add 12 on both sides
c ≥ -4

So the required number line would be as a closed dot at -4 and shaded to the right.

Thus, A number line with a closed dot at -4 is shaded to the right. Option A is correct.

Learn more about number line here:

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7m - 17 = -24
what is m?

Answers

Answer:

Move all terms that don't contain

m

to the right side and solve.

Exact Form:

m

=

41

7

Decimal Form:

m

=

5.

¯¯¯¯¯¯¯¯¯¯¯¯

857142

Mixed Number Form:

m

=

5

6

7

Tap to view steps...

please please help, if you could show work too that would be amazing!

Answers

Answer:x=75

Step-by-step explanation:

They are opposite of eachother so they are equal to eachother

2x= 130

x= 75

Terry rides his bike to work. It
takes him 40 minutes to go 7
miles. What is Terry's rate per
hour?(** how many minutes in
an hour**)

Answers

Answer:

10.5 is the answer

Step-by-step explanation

[tex]\frac{40}{7}[/tex]=[tex]\frac{60}{?}[/tex]

40x1.5=60

7x1.5=10.5

Answer:

10.5

Step-by-step explanation:

Mrs. Adele is buying a new tie from Macy's. It says
the tie costs $15.00 but there is a sign above it that
says 25% off. How much will the tie cost?

Answers

Answer:

$11.25

Step-by-step explanation:

You take the original cost and multiply it by 0.25 for 25%. You get 3.75. Then you subtract 3.75 from 15.00. The answer is $11.25

please answer both of these and show or tell me all your work

Answers

Answer:

5. 1:6 2/5

6. 1:5

Step-by-step explanation:

5. each time in the table you multiply H by 6 2/5 ex.

column 4 , 100x6=600, 2/5 of 100 = 40 and the total is 640, so the contant of proprtionality is 6 2/5

6. in the table there is a point on 2:10 and can be simplified to 1:5 so for every minute 5 gallons of water will be used

hope this helps sorry if this inst what your looking for have a blessed day :)

3b) Determine the value of the unknown.
7:12 = 21:
Your answer
This is a required arection

Answers

Answer:

Step-by-step explanation:

HELP ME WITH THIS PROBMLEMW PSS

Answers

4 please give me brainlyist

find the distance between (-6,6.5), (-2,6.5)​

Answers

Answer:

4

Step-by-step explanation:

I did the math trust me, mark as brainliest please.

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