9514 1404 393
Answer:
6x +5y = 45x +y = 8x = 5 . . . jars of jamy = 3 . . . packages of bread mixStep-by-step explanation:
The problem statement gives two relations between x (jars of jam) and y (packages of bread mix).
6x +5y = 45 . . . . . . total cost
x + y = 8 . . . . . . . . . number of items
__
These equations can be solved a number of ways. Substituting for y, we get ...
y = 8 -x
6x +5(8 -x) = 45
x +40 = 45
x = 5 . . . . . . . . . jam
y = 8 -5 = 3 . . . mix
There are 5 jars of jam and 3 packages of bread mix in the gift basket.
Gabrielle’s age is two times Michaels age. The sum of their ages is 39. What is Mikhails age?
Based on the given information, Michael's age is 13, and Gabrielle's age is 26.
Let's represent Gabrielle's age as G and Michael's age as M.
Given that Gabrielle's age is two times Michael's age, we can express this relationship as:
G = 2M.
We also know that the sum of their ages is 39:
G + M = 39.
Now, we can substitute the value of G from the first equation into the second equation:
2M + M = 39.
Combining like terms:
3M = 39.
To isolate M, we divide both sides of the equation by 3:
M = 39 / 3.
Simplifying further:
M = 13.
Therefore, Michael's age is 13.
To confirm this result, we can substitute M = 13 back into the equation G = 2M:
G = 2(13).
G = 26.
So, Gabrielle's age is 26.
For similar question on age.
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what is the simplified form of 6^square root of x multiplied by 6^square root of x multiplied by 6^square root of x multiplied by 6^square root of x?
1. x^2/3
2. x^3/2
3. 4^6 square root of x
4. ^6 square root of 4x
Answer:
x^2/3, this the correct answer.
Step-by-step explanation:
It's simple!
=x^1/6+1/6+1/6+1/6
=x^4/6
=x^2/3
what is the answer to 6=a/4+2
Answer:
a = 36
Step-by-step explanation:
6 = [tex]\frac{a}{4+2}[/tex] , that is
6 = [tex]\frac{a}{6}[/tex] ( multiply both sides by 6 to clear the fraction )
36 = a
George worked 30 hours
He was paid a bonus of £20
Work out George's total pay.
Harry worked 34 hours his total pay was £300
Work out the bonus Harry was paid.
Step-by-step explanation:
Work out George's total pay:=total pay=(8x30)+20
=240+20=£260
Work out the bonus Harry was paid:=Total pay=(8x34)+bonus
300-272+bonus
300/-272 -272/-272 +bonus
bonus=£28
Please help me solve this problem
Answer:
11) 1.612) -11 1/2Step-by-step explanation:
[tex]11. \: \: - 2.5(4x - 4) = - 6 \\ - 2.5(4x) - 2.5(4) = - 6 \\ - 10x + 10 = - 6 \\ - 10x + 10 - 10 = - 6 - 10 \\ - 10x = - 16 \\ \frac{ - 10x}{ - 10} = \frac{ - 16}{ - 10} \\ x = 1.6 \\ [/tex]
[tex] \frac{1}{6} (x - 5) = \frac{1}{2} (x + 6) \\ \frac{1}{6} \times x + \frac{1}{6} ( - 5) = \frac{1}{2} \times x + \frac{1}{2} \times 6 \\ \frac{x}{6} - \frac{5}{6} = \frac{x}{2} + \frac{6}{2} \\ \frac{x - 5}{6} = \frac{x + 6}{2} \\ 2(x - 5) = 6(x + 6) \\ 2x - 10 = 6x + 36 \\ - 10 - 36 = 6x - 2x \\ - 46 = 4x \\ \frac{ - 46}{4} = \frac{4x}{4} \\ \frac{ - 23}{2} = x \\ - 11 \frac{1}{2} = x[/tex]
Which quantity is proportional to 90⁄2?
Check all that are true.
45⁄1
180⁄4
270⁄8
15⁄3
180⁄3
Lines q, r, s, and t are distinct lines in the same
plane. Decide if lines q and t
are parallel, perpendicular, or if there is not
enough information given.
q Ir, ris,
ris, sit
A. parallel
B. perpendicular
C. not enough information
A uniform probability distribution is a continuous probability distribution where the probability that the random variable assumes a value in any interval of equal length is _____. a. different for each interval b. the same for each interval c. either different or the same depending on the magnitude of the standard deviation d. None of the answers is correct.
Uniform probability distribution describes a distribution which is continous and the probability that a random variable assumes a value in any interval of equal length is the same for each interval.
The likelihood that a randomly selected variable within intervals with equal length is equally likely in a uniform probability distribution. An example is a deck of cards, hearts, spade, diamond and club are of equal length. Hence, the probability of randomly drawing a card from any of these intervals is the same (1/4).Therefore, the true statement is the option B.
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HELP ASAP!!!!!!!!!!! YOU WILL GET POINTS FOR DOING THIS CORRECTLY
Seven 6th graders count their nickels and quarters. The chart shows information about how much money each 6th grader has. Fill in the missing information
Answer:
Hope this helps
Step-by-step explanation:
Jimmy and Ted each improved their yards by planting daylilies and shrubs. They brought theurbsupplies from the same store. Jimmy spent $80 on 4 daylilies and 9 shrubs. Ted spent $148 on daylillies and 4 of shrubs. What is the cost of one daylily and the cost of one shrub?
Step-by-step explanation:
given,
JIMMY bought,
no. of daylillies = 4
no. of shrubs = 9
total cost of all material he bought = $80
TED bought,
no. of daylillies = 12
no. of shrubs = 4
total cost of all material he bought = $148
let daylillies be x and shrubs be y
the equation is,
4x + 9y = $80 -----------(1)
12x + 4y = $148 -----------(2)
now, multiply (1) by 3 we got,
12x + 27y = $240 -----------(3)
now, subtract (2) from (3) we got,
23y = 92
→ y = 92/23 = 4
→ y = 4
therefore cost of shrubs are $4.
so, cost of daylillies,
→ 12x + 4(4) = 148
→ 12x = 148 - 16 = 132
→ x = 132/12 = 11
→ x = 11
Hence, cost of daylillies are $11 and shrubs are $4.
hope this answer helps you dear......take care and may u have a great day ahead!
27.6 inches of rain fell over a 100 day period. What was the average amount of rain that fell per day? Enter a numerical answer only.
Answer:
Step-by-step explanation:
Hey ! I beleive this is the answer: 27.5/100=.275
Write the equation of the line in fully simplified slope intercept form
Answer:
y = 3x - 8
Step-by-step explanation:
m = slope
slope = y2 - y1 / x2 - x1
4 - 1 / 4 - 3 = 3/1 = 3
m = 3
b = y-intercept
b = -8
y = mx + b
y = 3x + (-8)
y = 3x - 8
HELPPPPP PLS ! Need it by tdy. Solution or explanation would be help so much !
Answer:
[tex]good \: luck \: and \: enjoy \: it[/tex]
Please help determining angle measures for my geometry class
Answer:
a, b, d, e, f
Step-by-step explanation:
only c is incorrect
CAN SOMEONE HELP ME PLZZZ!!!!!!
1. figure 4 would be 81
Explanation:
from figure 1 wich is 3, if you keep multiplying 3 until figure 4. the shaded triangle would be 81
1x3 - 3
3x3 - 9
9x3 - 27
27x3 - 81
2. figure 10 would be 59,049
Explanation:
from figure 1 wich is 3, if you keep multiplying 3 until figure 10. the shaded triangle would be 59,049
1x3 - 3
3x3 - 9
9x3 - 27
27x3 - 81
81x3 - 243
243x3 - 729
729x3 - 2,187
2,187x3 - 6,561
6,561x3 - 19,683
19,683x3 - 59,049
3. it would be figure 8 wich is 6,561
Explanation:
1x3 - 3
3x3 - 9
9x3 - 27
27x3 - 81
81x3 - 243
243x3 - 729
729x3 - 2,187
2,187x3 - 6,561
the first row the theater has 15 seats in it each subsequent row has 3 more seats that seats that the previous ow . if the last row has 78 sears, how many rows are in the theater a 21 b 78 c 77 d 45 e 22
Answer:
21
Sorry if not correct
But I think this is the answer
The number of rows in the considered theater which has 3 more seats that seats that the previous row, with first row having 15 and last row having 78 seats is given by: Option D: 22
What is arithmetic sequence?An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.
If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:
[tex]a, a + d, a + 2d, ... , a + (n+1)d, ...[/tex]
Its nth term is
[tex]T_n = a + (n-1)d[/tex]
(for all positive integer values of n)
And thus, the common difference is
[tex]T_{n+1} - T_n[/tex]
for all positive integer values of n
For this case, we can use arithmetic sequence as the number of seats in each next row is 3 more than previous row, so there is constant difference.
Now, the first number is 15, so we have: a = 15,d = 3 (increasing, so positive).
Let there are 'n' row in the theater.
Then the nth term of the arithmetic sequence having a = 15 and d = 3 should be 78 (as the nth row from first to last is the last row, having 78 seats).
Thus, we get:
[tex]T_n = a + (n-1)d\\78 = 15 + (n-1)3\\78-15 =3n - 3\\\\n = \dfrac{63+3}{3} = 22[/tex]
Thus, the number of rows in the considered theater which has 3 more seats that seats that the previous row, with first row having 15 and last row having 78 seats is given by: Option D: 22
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Evaluate the expression when b= -4 and x= 2. b-7x
Answer:
Step-by-step explanation:
b - 7x = (-4) - 7*2
= -4 - 14 {both numbers have same sign, so add and put the - sign for the result}
= -18
A shoe store uses a 60% markup for all of the shoes it sells.What would be the spelling price of a pair of shoes that has a wholesale cost of 55$?
find (f-g) (x) if f(x)=-2x+4 and g(x)=x^2-3x+5
Answer:
−[tex]x^{2}[/tex] + [tex]x^[/tex] − 1
Answer:x=2
Step-by-step explanation:
hope it helps
PLS HELP GIVING BRAINLY FAST
Tell whether if the following is a solution to the linear equation or not.
1. x = 3; y = -1 -5x + 2y = -17
2. (0, 6) - x + 2y = 10
3. (-5, -2) -5x + 2y = -21
4. x = -2; y = 5 -3x – 4y = -14
5. x = 4; y = 3 2x + 3y = 17
Answer:
1) Linear equation
2) Non Linear equation
3) Non Linear equation
4) Linear equation
5) Non Linear equation
i hope this helps!
Step-by-step explanation:
Use the figure at the right. If BE = 3x + 6 and DF = 7x +4, find DF.
Line segments can be divided into sub-segments.
The value of DF is 18
The given parameters are:
[tex]\mathbf{BE = 3x + 6}[/tex]
[tex]\mathbf{DF = 7x + 4}[/tex]
We have:
[tex]\mathbf{BE + DF = 30}[/tex]
So, we have:
[tex]\mathbf{3x + 6 + 7x + 4 = 30}[/tex]
[tex]\mathbf{10x + 10 = 30}[/tex]
Subtract 10 from both sides
[tex]\mathbf{10x = 20}[/tex]
Divide both sides by 10
[tex]\mathbf{x = 2}[/tex]
Substitute [tex]\mathbf{x = 2}[/tex] in [tex]\mathbf{DF = 7x + 4}[/tex]
[tex]\mathbf{DF = 7 \time 2 + 4}[/tex]
[tex]\mathbf{DF = 14 + 4}[/tex]
[tex]\mathbf{DF = 18}[/tex]
Hence, the value of DF is 18
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Please please help me with this question now
Answer:
Step-by-step explanation:
a and d are in standard form.
b and c are in factored form
ax² + bx + c ---> this is the standard form.
If the equation is written as product of two terms then it is in factored form.
3(x + 2) = 2x + 5 , equation/solution
Answer:
x = - 1
Step-by-step explanation:
3(x + 2) = 2x + 5 ← distribute parenthesis on left side by 3
3x + 6 = 2x + 5 ( subtract 2x from both sides )
x + 6 = 5 ( subtract 6 from both sides )
x = - 1
Pam drew a scale drawing of a game room. She used the scale 1 inch : 2 feet. If the air hockey table is 5 inches in the drawing, how
long is the actual air hockey table?
10 feet
2.5 feet
5 feet
15 feet
Answer:
10 feet
Step-by-step explanation:
to solve, multiply 2 by 5;
2*5=10
Hope this helps! :)
31 billion scientific notation???
Answer: 3.1 x 10¹⁰
Explanation: None
help!
[tex]8r+9-4r-3r-8r[/tex]
Thanks!
[tex]\\ \sf\longmapsto 8r+9-4r-3r-8r[/tex]
[tex]\\ \sf\longmapsto 8r-4r-3r-8r+9[/tex]
[tex]\\ \sf\longmapsto -7r+9[/tex]
[tex]\\ \sf\longmapsto 9-7r[/tex]
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Here's the solution for You !
just combine the like terms :
[tex]8r + 9 - 4r - 3r - 8r[/tex][tex] - 7r + 9[/tex]PLEASE HELP ME! D:Find the missing length the triangles in each pair are similar
Answer:
11)The unknown answer is 24
So sorry I couldn't solve the remaining ones
Is the triangle proof correct? Photo attacted
Answer:
is good
Step-by-step explanation:
the sum of two numbers is 22And their product is 105 what are the numbers?
Answer:
15 and 7 Im almost certain
Step-by-step explanation:
Angles A and B are supplementary. If mA = 67, find mB.
Answer:
Angle A +Angle B=180
67+B=180
B=113°