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.
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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Solve each system by substitution.
y=-4x-9 y=3x+19
Answer:
x=-4, y=7
Step-by-step explanation:
According to the first equation, y = -4x - 9, so we can substitute y in the second equation for -4x - 9.
y = 3x + 19
-4x - 9 = 3x + 19
Add 9 to both sides
-4x = 3x + 28
Subtract 3x
-7x = 28
Divide by -7
x = -4
Plugging this into the equation, we have:
y = -4x - 9
y = -4(-4) - 9
y = 16 - 9
y = 7
I need an answer for this it’s due today plss
Answer:
128
Step-by-step explanation:
2^4/2^-3
= 2^7
=128
Factor out the greatest common factor of Given the expression: 4x^10 − 64x^2
Part A
4x10 – 64x2
= 4x2 * x8 – 4x2 * 16
= 4x2 * (x8 – 16) by distributive property
Part B
x8 is (x4)2 and 16 = 42 so a difference of squares is seen in the parentheses. The pattern a2 – b2 = (a + b)(a – b) can be used.
4x2 * (x8 – 16)
= 4x2 * (x4 + 4) * (x4 – 4)
x4 = (x2)2 and 4 = 22 so there is another difference of squares in the last factor. Use the pattern again.
= 4x2 * (x4 + 4) * (x2 + 2) * (x2 – 2)
Answer:
Below.
Step-by-step explanation:
The GCF = 4x^2
So its 4x^2(x^8 - 16)
This can be further factored
= 4x^2(x^4 - 4)(x^4 + 4)
= 4x^2(x^2 - 2)(x^2 + 2)(x^4 + 4)
What is the y-intercept of the line 3x – 4y = 24?
(-6, 0)
(0, -6)
(8, 0)
(0, 8)
Answer:
(0, -6)
Step-by-step explanation:
To find the y-intercept(s), substitute in 0 for x and solve for y.
3 × 0 - 4y = 24
y = -6
good luck, hope this helps :)
need help asap!! first gets brainliest
Answer:
-45
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
A sum yields an interest of Rs. 900 at 15% simple interest per annum in 4 years. Find the sum.
Answer:
[tex]15[/tex]
[tex]i \: = prt \\ p = \: \frac{i}{rt} \: \: \: \: \: \: i = 900 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: r = 15 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: t = 4 \\ p = \frac{900}{15 \times 4} \\ = \frac{900}{60} \\ [/tex]
[tex]p = \frac{30}{2} \\ = 15[/tex]
the hypotenuse of a triangle is 5in and leg one is 4in how long is leg two
Choose all equations that are equivalent to the equation: 4x−12y=18
a. 2x−6y=9
b. 8x−24y=36
c. 2x−9y=18
d. y= −3/2x + 1/3x
Answer:
a & b
Step-by-step explanation:
a is the simplified form
b is doubled
hope this helps :)
what is the additive inverse of -15 and 15
Answer
-15
Step-by-step explanation:
PLEASE HELP! I WILL AWARD BRAINLIEST
Sherbrooke, Quebec Is 210 miles from Boston, MA. A train leaves Boston at noon and arrives in Sherbrooke at 4:40 PM. On the return to Boston, the train travels 50.4 mph. How many times (or less is the train's speed on the return trip to Boston than the trip to Sherbrooke?
Answer:
Both trains will meet 120 miles away from Boston
Answer:
Both trains will meet 120 miles away from Boston!!!
Step-by-step explanation:
trust me on this i honestly dont know how to explain this
What is the volume of the cone below?
Answer:
yo try D
Step-by-step explanation:
im pretty sure bc 6 turns to 12 so 22 times 12
Plz help plzzzzzzzzz
Answer:
4th option OR last option
Step-by-step explanation:
Ok so I think it means hexagon not heptagon since I have never heard of heptagon. Just confirm that with your teacher if it is hexagon or heptagon.
Hexagon = 6 sides
This means that it is not second option. Nor it is the third option since it said that it should be more than 6 sides. Now we are left with 1st and 4th option. It also mentioned that all opposite sides should be parallel. Looking at the first option, not all sides are parallel. Some are big and some are small. This remains with the last option which is the 4th option.
Hope this helps, thank you !!
can someone help me please
Answer:
1A) XY
1B) XY
1C) WX/XY
2) WY is the hypotenuse
Step-by-step explanation:
Evaluate the following expression
8 to the power of 3–9•2 divided by 3
Answer:
0.485 in decimals
Which expressions are equivalent to Negative 9 (two-thirds x + 1)? Check all that apply. − 9 ⋅ ( 2 3 x ) + 9 ( 1 ) − 9 ⋅ ( 2 3 x ) − 9 ( 1 ) − 6 x + 9 − 9 ⋅ ( 2 3 x ) + 1 − 6 x − 9 − 6 x + 1
Answer:
•(-9 × 2x/3 + 1 × -9)
•-6x - 9
Step-by-step explanation:
Which expressions are equivalent to Negative 9 (two-thirds x + 1)?
Check all that apply.
Negative 9 (two-thirds x + 1) can be expressed as:
-9(2/3x + 1)
Expanding the brackets
(-9 × 2x/3 + 1 × -9)
-6x - 9
Therefore, the expressions that are equivalent to Negative 9 (two-thirds x + 1) is:
•(-9 × 2x/3 + 1 × -9)
•-6x - 9
Answer:
Its B and F
Step-by-step explanation:
Evaluate 5(x + 2) - 12 + 3 for x = 1
answers:
26
1
0
11
Answer:
Step-by-step explanation:
Putting value of x = 1
5(x + 2) - 12 + 3
5((1) + 2) - 9
5(3) - 9
15 - 9
6
A store offers 30% off all items. If x is the original purchase price, select all of the expressions which represent the final price with the discount.
a 0.7x
b x
c x + 0.3x
d x - 0.3x
e 12x
Answer:
D c
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
not really an explanation
seeta devi has rs 9 in fifty-paiseand twenty fiv-paise coins. She has twice as many twenty-five paise coins as fifty-paise coins.How many coins of each kind does she have?
Answer:
50 paise coin = 9
25 paise coin = 18
Step-by-step explanation:
Let :
Number of fifty paise = x
Number of 25 paise = y
50x + 25y = 900 - - - (1)
y = 2x - - - (2)
50x + 25(2x) = 900
50x + 50x = 900
100x = 900
x = 900/100
x = 9
y = 2x
y = 2(9)
y = 18
Mr. Strand mowed 2/5 of his lawn. His son mowed 1/4 of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?
Answer: Mr. Strand mowed most of the lawn, and 7/20 of the lawn still needs to be mowed.
Step-by-step explanation:
Part 1:
We can use change the fractions so that they have equivalent denominators. The Least Common Denominator that the two fractions have is 20.
2/5 = 8/20.
1/4 = 5/20.
Because of this, Mr. Strand, who mowed 2/5 of the lawn, mowed most of the lawn.
Part 2:
8/20 + 5/20 = 13/20. Therefore, 7/20 of the lawn still needs to be mowed.
In conclusion, Mr. Strand, who mowed 2/5 of the lawn, mowed most of the lawn. 7/20 of the lawn still needs to be mowed.
Answer:
Step-by-step explanation:
0.65 of the lawn was mowed
12. In y > x + 4, where can we find the solution set?
A. above the line
C. in the line
B. below the line
D. no solution set
13. The statement, "the sum of two numbers is at least 29" can be expressed as:
A. x + y > 29 B. x + y < 29 C. x + y = 29 D. x + y = 2
14. The elevator has a maximum capacity (C) of 8 persons. Which of the following mathematical statement represent the given situation?
A.C = 8
B. C < 8
C. c 28
D. none of these
15. Bryan bought 6 chocolate candies and 3 lollipops. If x represent the cost of
chocolate candies and y represent the cost of lollipops, what will be the
mathematical representation of the total cost if he paid at most Php50?
A.6x + 3y > 50
C. 6x + 3y > 50
B.6x + 3y = 50
D. 6x + 3y < 5
Answer:
1) D
2)A
3)D
4)A
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST
Answer:
I hope I can help you
Step-by-step explanation:
I hope I can help you
solve the equation -30p-2=58 for p.
Answer:
p=-2
Step-by-step explanation:
1.Combine like terms on both sides.
2.Subtract 6 y 6y 6y on both sides to keep the variable y to the left side only.
3.Add 11 to both sides of the equation.
4.Finally, divide both sides by −10 to get the solution.
I'm unsure how to do this question,, could someone help?
List down 3 biotic and 3
abiotic components of
ecosystem mentioned in
the video clip. From the
given examples, how do
they affect other
organisms in the
community in this time of
pandemic?
5 chocolate bars cost £3.80
How much do 7 chocolate bars cost?
Step-by-step explanation:
divide 5 by 3.80 and then the multiply the answer by 7
Answer:
7 chocolate bars=£5.32
Step-by-step explanation:
3.80÷5=0.76(one chocolate bar)
0.76×7=5.32(7 bars)
10. Write 144 with an exponent by using 12
as the base.
Answer:
12^12
Step-by-step explanation:
Jerome deposits $3500 in a certificate of deposits that pays 1.8% interest compounded annually. How much Interest does jerome earn in 1 year?
Does anyone have the answer to this? Please and ty lol
luca sells muffins and juice boxes. muffins are $1.50 each and jucie boxes are $1.25 each. write an algebraic expression for the total income luca received from the sale of muffins and juice boxes
Answer:
1.5m+1.25j
Step-by-step explanation:
m equals the number of muffins sold, and because each muffin sells for $1.50, 1.5m represents the income made from the muffins.
Same thing with the juice boxes, j equals the number of juice boxes sold, and because each juice box sells for $1.25, 1.25j represents the income made from the juice boxes.
Add the income from both of them to get the total income, and you get 1.5m+1.25j.
pls pls pls help me. I cant solve it.
Answer:
1 /a −b
Step-by-step explanation:
pls help with number 3
Answer:
3<n+5
Step-by-step explanation:
...................
Answer:
n+5-3
Step-by-step explanation:
"Less then" means subtraction and it is less than a number (marked as "n" in this example) plus 5 (+5). If you translate this into an equation, you would get n+5-3.