Answer:
The cost of each kg of almonds is $1.75
The cost of each kg of jelly beans is $2.5
Step-by-step explanation:
We will use the system of linear equations to solve the question
Assume that the cost of 1 kg of almonds is $x, and the cost of 1 kg of jelly beans is $y
∵ For 2 kilograms of almonds and 3 kilograms of jelly beans,
the total cost is $11
→ Multiply 2 by x and 3 by y, then equate their sum by 11
∴ 2x + 3y = 11 ⇒ (1)
∵ For 6 kilograms of almonds and 5 kilograms of jelly beans, the
total cost is $23
→ Multiply 6 by x and 5 by y, then equate their sum by 23
∴ 6x + 5y = 23 ⇒ (2)
Now we need to solve this system of equations to find the values of x and y
→ Multiply equation (1) by -3 to make the coefficient of x in it equals
the coefficient of x in equation (2) in values and differences in signs
∵ -3(2x) + -3(3y) = -3(11)
∴ -6x + -9y = -33 ⇒ (3)
→ Add equations (2) and (3) to eliminate x
∵ (6x + - 6x) + (5y - 9y) = (23 + -33)
∴ -4y = -10
→ Divide both side by -4 to find the value of y
∵ [tex]\frac{-4y}{-4}=\frac{-10}{-4}[/tex]
∴ y = 2.5
→ Substitute the value of y in equation (1) to find x
∵ 2x + 3(2.5) = 11
∴ 2x + 7.5 = 11
→ Subtract 7.5 from both sides
∵ 2x + 7.5 - 7.5 = 11 - 7.5
∴ 2x = 3.5
→ Divide both sides by 2 to find the value of x
∵ [tex]\frac{2x}{2}=\frac{3.5}{2}[/tex]
∴ x = 1.75
∵ x represents the cost of 1 kg of almonds
∴ The cost of each kg of almonds is $1.75
∵ y represents the cost of 1 kg of jelly beans
∴ The cost of each kg of jelly beans is $2.5
Triniti had $500 in a savings account at the beginning of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Write an inequality that represents Triniti’s situation and use w for the number of weeks. How many weeks can Triniti withdraw money in her account?
Answer:500-25x
Step-by-step explanation:
Which inequality is a true statement?
Select each correct answer.
−3≤−1
−3>−1
−3=−1
−3<−1
−3≥−1
Answer:
-3<-1
Step-by-step explanation:
correct or no???????
The times for three runners in a 100 yard dash are 9.85 s, 9.6 s and 9.625 s. What is the winning time?
Answer:
9.6 is first
Step-by-step explanation:
9.6 , 9.625, then 9.85 is the order finished the race, the larger the time (number) the later they crossed the finish line
Hope this helps : )
The points C, D, E and F all lie on the same line segment, in that order, such that the ratio of CD:DE:EFCD:DE:EF is equal to 3:2:1.3:2:1. If CF=42,CF=42, find DF.DF.
Answer:
2
Step-by-step explanation:
The required length of the DF on the line segment is 21 units.
Given that,
The points C, D, E, and F all lie on the same line segment, in that order, such that the ratio of CD:DE: EF is equal to 3:2:1, If CF=42,
To determine the length of the segment DF
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
Total of the ratios
CF = 3x + 2x + 1x
CF = 6x
6x = 42
x = 7
Now,
DF = DE + DF
DF = 2x + 1x
DF = 2 * 7 + 7
DF = 14 + 7
DF = 21
Thus, the required length of the DF on the line segment is 21 units.
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What are the two meanings of division for x and y?
Find the interest earned on the account
$970 at 4 1/4% simple interest for 2 years
Consigna 1: A partir de la siguiente figura construye un octágono regular inscrito
en la circunferencia Describe con claridad el procedimiento empleado y justificalo
PROCEDIMIENTO:
Consigna 2: Traza un cuadrado cuyo perímetro sea 48 cm y su área sea 144 cm.
¿Cuánto suman los ángulos interiores de un cuadrado?
Consigna 3: Traza un hexágono regular que mida 5 cm por lado y después
contesta las preguntas que siguen.
¿Cuánto mide un gulo interior del hexágono regular?
¿Cuál es el área del hexágono que trazaste?
Answer:
Can you translate it for me?
Step-by-step explanation:
1.If mZA = 4x+12 and x = 15, is ZA acute, obtuse, or right? Explain or justify your answer.
2.Given: ZBAM is a right angle. If mZBAM = 4x + 22, then solve for the value of x.
9514 1404 393
Answer:
acute17Step-by-step explanation:
1. Put the value of x in the expression and see what the angle measure is.
m∠A = 4x +12 = 4(15) +12 = 60 +12 = 72
The angle is less than 90°, so is acute.
__
2. The measure of a right angle is 90°, so you have ...
4x +22 = 90
4x = 68 . . . . . subtract 22; next, divide by 4
x = 17
2. $3 to $2
Find each percent of change
Answer:
33.33%
Step-by-step explanation:
2/3 = is 33.33%
4hundred 38tens and 18ones. What number am I?
Answer:
798
Step-by-step explanation:
to get the answer you add 400 + 380 + 18
Answer:
400 + 380 + 18 = 798 :)
295 X 3 =
What is the distributive property of multiplication
Answer:
295 x 3 = 885
The distributive property is when you distriute numbers if they are getting multiplied by the same number.
Example:
Original Equation: A(B+C)
Distribute the equation so that B and C are by itself.
New Equation: AxB + AxC
This is distributive property.
PLEASE SOLVE! IT'S REALLY EASY, BUT MY BRAIN IS DEAD AT THE MOMENT.
Answer:
What is the question???
Step-by-step explanation:
the cost of the food that was originally 300 php was reduced to 180 php. what was the percent of the reduction
Answer: 60% of 300 is 180
The student council at Spendtoomuch High School is
planning a school dance. The table below shows the
budget for the dance.
School dance budget
Item
Funds raised
Expenses
Dance tickets
$300
DJ Denny
$ - 250
Decorations
$ - 100
What is the student council's expected profit?
$
Answer:
-50
Step-by-step explanation:
I did it on khan academy
DO you know the answer ? help me out if you can
Answer:
The answer would be B. Benefit would decrease by $7,020 annually
Step-by-step explanation:
One way you can find a percentage of any number is to take the percentage and move the decimals to the left twice, 13% into 0.13. With this decimal you would multiply it by the main number you want the percentage from, $54,000. 0.13 × 54,000 would give you a product of 7,020 thus your answer.
This isn't completely necessary but if you would like to check your answer you could do this process backwards, to do such you would take your answer you received, 7,020, and divide that by your main number, 54,000. The quotient would be your percentage as a decimal 7,020 ÷ 54,000 = 0.13. Thus meaning your answer is correct.
Hopes this help have a nice day!
The answer is B
Hoped I helped
When I am rounded to the nearest ten, I am 80. The digit in my tens place is 5 more than the digit in my ones place. Who am I?
Answer:
81.6
Step-by-step explanation:
8 divided by 5 is 1.6.
Hope this helps! Sorry if it is incorrect :(
lim x>-1 x^2-x-2/x+1
Answer:
-3
Step-by-step explanation:
If we directly evaluate the function at -1, we get 0/0, meaning we may still have a limit to find.
In this case, factoring the polynomial at the top would be helpful.
The polynomial can be factored to (x+1)(x-2), so the function would now turn out to be (x+1)(x-2)/(x+1)
The (x+1) cancel out, leaving you with (x-2), which you can directly evaluate by plugging in x as -1:
-1-2 = -3
Quick disclaimer: the function is still undefined at -1; it's just that the function gets closer and closer to -3 as you approach -1.
I hope this helped you.
Factor the quadratic
4x^2-9
Answer:
(2x-3)(2x+3)(identity 3)
Step-by-step explanation:
A dividend is?
money you earn when you sell property for more than the purchase price
money earned from a savings account
money you pay when buying stock
money a company shares with the stockholders
Answer:
D.
Step-by-step explanation:
Which expression is rational?
4.121221222…
square root of 36
square root of 21
1.192744502…
Answer:
1 and 4
Step-by-step explanation:
because the square roots are always irrational. however, a rational number can be expressed as a decimal, fraction, and others...
Hope that helped
Answer:
the answer would be a or b
Step-by-step explanation:
because they both can be written as fraction
hope this helps you!
I need help Please I will give lots of points
Answer:
8
Step-by-step explanation:
Answer:
105/4 = 26 2/5
Step-by-step explanation:
what is the next number in the patter
2, 7, 12, 17
Answer:
22
Step-by-step explanation:
Add 5
Answer:
2, 7, 12, 17, _____
the pattern is increasing by 5, so add 5 to 17
you get 22 as your answer
Step-by-step explanation:
Expression above should be further simplified for which value of X?
Answer:
D. 329
Step-by-step explanation:
119 can be expressed as the factors of 2 prime numbers: 7 and 17.
There would be no need to further simplify the expression if x does not have one of these factors.
We can check that D is the only one that has one of these factors: 7, since 329/7 = 47.
I hope this helped.
You charge $5.50 an hour for babysitting. At the end of the week you earn $82.50. How many hours did you work this week?
Answer:
15 hours.
Step-by-step explanation:
If the FDIC charges Bank D 6.1 cents per 100 dollars insured, how much must Bank D pay to insure $7.3 million in
deposits?
a. $4,4530,000
b. $445,300
C. $4,453
d. $445.30
Is x=-4 a solution to the equation —3z + 10 = 5?
Answer:
No.
Step-by-step explanation:
First, note that there is no variable x inside the equation. Therefore, there is nothing for the -4 to plug into.
However, if you meant to put the same variable, it still will not work.
Plugging in -4 for z (if you meant z = -4), would give you the following:
Assuming that z = -4
-3(-4) + 10 = 5
-12 + 10 = 5
-2 ≠ 5.
Therefore, even if you did mean to put the same variable, it will still not be correct.
~
For the given equation, there is no variable x but z is a variable in the linear equation. Since x is not a variable of the equation, we can't put the value given.
But if we plug the value of -4 in place of z:
➝ -3(-4) + 10
➝ 12 + 10
➝ 22 which is not equals to 5.
Hence, this equation is not satisfying for the value of variable given that is 4. Thus, -4 is not a solution to the given equation[tex].[/tex]
Carry On Learning !
Drag the expressions to the correct locations on the image. Not all expressions will be used.
Consider this quotient.
Use long division to rewrite the quotient in an equivalent form as , where is the quotient, is the remainder, and is the divisor.
Answer:
x+2 + (-5x+4)/(x^2-2x+1)
See attached
Step-by-step explanation:
Equivalent expression to represent the given division in quotient , remainder and divisor form is equals to [tex](x+2)+\frac{-5x+4}{x^{2} -2x+1}[/tex].
What is division?" Division is defined as the distribution of the given quantity into equal parts as per the conditions apply."
According to the question,
Given expression,
[tex](x^{3} -8x+6)[/tex] ÷ [tex](x^{2} -2x +1)[/tex]
As shown in long division we get,
Quotient [tex]q(x) = x+2[/tex]
Remainder [tex]r(x) = -5x+4[/tex]
Divisor [tex]b(x) = x^{2} -2x +1[/tex]
Represent quotient , remainder and divisor in an equivalent form of given expression we get,
[tex](x^{3} -8x+6)[/tex] ÷ [tex](x^{2} -2x +1)[/tex] = [tex](x+2)+\frac{-5x+4}{x^{2} -2x+1}[/tex]
Hence, equivalent expression to represent the given division in quotient , remainder and divisor form is equals to [tex](x+2)+\frac{-5x+4}{x^{2} -2x+1}[/tex].
Learn more about division here
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At a bakery bakers can bake 24 batches of muffins in 3 hours. What is the unit rate for this situation?
Step-by-step explanation:
so 24 batches of muffins are made in 3 hours and in a day 576 batches
please help this is already late
Answer:
C = 132°
Step-by-step explanation:
(5y + 28) = 12y
5y - 5y + 28 = 12y - 5y
28 = 7y
y = 4
12 (4)
= 48
48 + C = 180°
48 - 48 + C = 180 - 48
C = 132°
Juan is saving money to buy a basketball that cost $40. He currently has $12 and will start saving $3.50 each week until he has enough money to make his purchase What is the fewest possible number of weeks that it will take for Juan to have enough money saved to buy the basketball? A) 4 B) 8 C) 12 D) 15
Answer:
b) 8
Step-by-step explanation: