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

To learn more about equations click :

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Related Questions

Raja sold a purse for £ 180; he suffered a loss of £ 40 in his deal, what was the cost price of the purse.
Please tell me and quick!!!!

Answers

Answer:

220 £

Step-by-step explanation:

please help 13 points and will give brainelist

Answers

Answer:

B

Step-by-step explanation:

B's numbers are all doubled of what they are on the original.

Answer:

B

Step-by-step explanation:

First of all the angle is same

and then we check if ratios of all sides are equal so

5/10=6/12=12/24=7/14

1/2=1/2=1/2=1/2

the ratios are equal so the shapes are similar

What is the slope of the line that passes through the points (4, 6) and (-16, -18)? In the simplest form.

Answers

Answer:

[tex]\displaystyle m=\frac{6}{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (4, 6)

Point (-16, -18)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                            [tex]\displaystyle m=\frac{-18-6}{-16-4}[/tex][Fraction] Subtract:                                                                                         [tex]\displaystyle m=\frac{-24}{-20}[/tex][Fraction] Simplify:                                                                                          [tex]\displaystyle m=\frac{6}{5}[/tex]

Solve the following system of equations using substitution, elimination, or elimination by multiplication.

Answers

Answer: (-4, 8)

Explanation:
2x - 7(2x + 16) = -64
2x - 14x - 112 = -64
-12x = 48
x = -4
y = 2(-4) + 16
y = -8 + 16
y = 8

the ratio of two sums of money are 4:5. the first sum is $6. what is the second?

Answers

7.5
Cross multiply (4•x) and (5•6) and get 30=4x
X=7.5

The second sum of money is $7.5

The ratio of the sum is given as:

Ratio = 4 : 5

Represent the second sum of money with x.

So, we have:

4 : 5 = 6 : x

Express the ratio as a fraction

4/5 = 6/x

Make x the subject of formula

x = 6 * 5/4

Evaluate the product

x = 7.5

Hence, the second sum of money is $7.5

Read more about ratio at:

https://brainly.com/question/2784798

#3 Find angles 1, 2 22 h A) 90, 68 B) 68,90 C) 90, 90 D) 68, 68​

Answers

Answer:

a

Step-by-step explanation:

The answer to your question is A

Anybody can help me for BRAINLIST ? 6th grade math .. plz help

Answers

Answer:

B)

Step-by-step explanation:

If this answer helped you then please consider making this brainliest and thank this response :)

Answer:

I think.

it is c I am not really sure

After Batman brought the Joker to justice, the crime rate in Arkham City decreased by 12\%12%12, percent. Previously, the crime rate was ccc incidents per 100010001000 people.
Which of the following expressions could represent the crime rate in Arkham City after Batman brought the Joker to justice?

Answers

Answer:

.88c                       22/25c

Step-by-step explanation:

yup

Answer:

.88c                   22/25c

Step-by-step explanation:

HELLPP this is due in 7 minutes

Answers

Answer:

a

Step-by-step explanation:

Answer:

option c

Step-by-step explanation:


21. SCOOTER The scooter is on sale for 90% off the original price,
Which of the methods can you use to find the sale price which
method do you prefer?

Answers

Answer:

1.

Multiply $45.85 by 0.1

Multiply $45.85 by 0.9, then subtract from $45.85

2. One method requires only one step while the other requires two steps.

PLEASE HELP ME so it says Find the value of x in a triangle with the given angel measure x°,90°,16° and explain how you solve it? PLEASE HELP ME IM FAILING MATH LOL IN

Answers

90+16=106 then subtract 180 from 106 bc all the angles of a triangle equal 180 always so your answer is 74
that should be right

A man covers 1000meters when he completes five rounds around a square field. what would be the length of the field?

Answers

200m i’m pretty sure
1000 metres =5 rounds
1000/5=200 metres= 1 round
Perimeter of square = 4 times length
4 times length =200
Length =200/4
Length =50 metres

What is the value of c if a = 12 and b = 5

Answers

Answer:

-2

Step-by-step explanation:

what is the answer?136,88,or 44?

Answers

Answer:

136

Step-by-step explanation:

Four biased coins, A, B, C and D are thrown.
The probability that each coin will land on Heads is shown in the table.
Coin Probability a) (i) Which coin is least likely to land on Heads?
А
0.66
(1)
0.066
(ii) Which coin is most likely to land on Heads?
С
(1)
60%
b) What is the probability that D will land on Tails?
(1)
B
D
Coin B is going to be thrown 4000 times.
c) Work out an estimate for the number of times
coin B will land on Heads.
(2)
Total marks: 5

Answers

Answer:

Please check explanations for answer

Step-by-step explanation:

Firstly, we need all the probability in the same decimal form

P(A) = 0.66

P(B) = 0.067

P(C) = 2/3 = 0.67

P(D) = 60/100 = 0.6

a) The least likely is the smallest value of decimal

This is 0.067 which is for coin B

most likely is the highest probability; this is C which is 2/3

b. Probability that D will land on tail is 1 - probability that it lands on head

= 1 - 0.6 = 0.4

c. Mathematically that is the product of the probability and the number of times it was thrown

That will be;

0.066 * 4000

= 264 times

question is in the pic

Answers

YES U R CORRECT, THE MEDIAN OF A IS BIGGER THAN B

How do i do square root?

Answers

Divide the number by your guess. Now you have two numbers that multiply to get your original number. Take the average of these two numbers. This becomes your second guess for the square root.

Answer:

you can find it with do its LCM.

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Answers

Answer:

19

Step-by-step explanation:

Answer:

El valor de a es 19

Step-by-step explanation:

Espero te sirva

-5x+2y=16
Please help me

Answers

2y=5x +16

Y= 5/2x +16

Explanation: you bring the x over and change the sign. Then you divide all numbers by 2. Now you either graph or leave it, but I don’t know what you are being told to do next.

what is 5/18 divided by 2/6

Answers

Answer:

0.02314814814 ooooorrrrr...... as a fraction..... 5/6

Step-by-step explanation:

I hope this helps!!!!!!!! PLEASE MARK ME BRANILIEST!!!!

Answer:

5/6 ( I think )

Step-by-step explanation:

Way 1. All you have to do is make the fractions into decimals, then divide, and finally change you final decimal back into a fraction!

Way 2. Change the division into multiplication ( to do that flip the second fraction)--> 5/18 x 6/2 then multiply!

If I'm wrong just use the info I gave you, and try it yourself!

I hope this helps, and have a great day!

P.S. Way 2 is easier than Way 1!

Choose an algebraic expression for: 9 more than w

Group of answer choices

A. w +9

B. 9-w

C. w/ 9

D. 9w

Answers

The answer is a.w+9 because it means the w plus 9 more it the same as 9 more than w

Spoorthi plants 5 tree seedlings for every 3 that Hammad plants. If Hammad planted 6 trees in a minute, how many did Spoorthi plant?

Answers

Answer:
10 plants

Explanation:
5 plants for every 3 plants
3 x 2 = 6
5 x 2 = 10
10 because 5 times 2 is 10

PLZ HELP ASAP! What is the midpoint of the segment shown below?
A. (5, -4)
B. (5, -2)
C. (10, -2)
D. (10, -4)

Answers

The answer would be B) (5,-2)

Please Answer For A Test​

Answers

the answer is h. 30 snowcones
the answer is 30!!!!!!

Can someone answer this question i am having an issue to how to figure it out

Answers

Answer:

explanation below

Step-by-step explanation:

f(x) = 3x + 2

f(8) : replace x with 8    f(8) = 3 * 8 + 2 = 26

g(x) = 5x

g(a+2) : replace x with a+2    g(a+2) = 5 (a+2) or 5a + 10

Line segment t and line segment r are parallel. Both line segments are reflected across the y–axis to form line segments t' and r'. . What is the distance, in units, between line segmentst' and r'? Select ONE correct answer.

Answers

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, but I would show you how to answer it.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Reflection is the flipping of a figure about an axis. Reflection is a rigid transformation, that is it preserves the shape and size of the figure.

If the distance between Line segment t and line segment r is 5 units and then both line segments are reflected across the y–axis to form line segments t' and r'. The distance between the newly formed line segments t' and r' would still be 5 units

Answer:

i think its 2 i dont know im doing the test rn

Step-by-step explanation:

sorry if its wrong

answer this question​

Answers

Answer:

(0,8)

Step-by-step explanation:

Q is located at point (0,8) on the graph

PLEASE HELP WHATS THE ANSWER

Answers

Answer:

2,744

Step-by-step explanation:

[tex]C = 400 \sqrt[3]{n} + 200 \\ \\ plug \: C =5800 \\ \\ 5800 = 400 \sqrt[3]{n} + 200 \\ \\ 5800 - 200 = 400 \sqrt[3]{n} \\ \\ 5600 = 400 \sqrt[3]{n} \\ \\ \frac{5600}{400} = \sqrt[3]{n} \\ \\ 14 = \sqrt[3]{n} \\ \\ {(14) }^{3} = {(\sqrt[3]{n})}^{3} \\ (cubing\: both\: sides) \\\\ 2,744 = n \\ \\ n = 2,744[/tex]

Which equation represents the situation:

A 20 year old is the same height as a 30 year

A. f(20) = 30
B. f(30) = 20
C. f(30) = f(20)
D. f(20) > f(30)
E. f)20) < f(30)

PLS I NEED HELPP

Answers

Answer:

the answer of this question is C. f(30) = f(20)

I’d say that A is correct-if I’m incorrect, I’m truly sorry, that’s just what I’ve interpreted from this question.

25% of 120 = ......% of 40. What is the missing number?

Answers

Answer:

75%

Step-by-step explanation:

25% of 120=120÷4=3

30/40=75%

Check:

75% of 40=30

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