Step 1:
The variable is the number of weeks needed to equalize Alexa and her sisters savings.
Step 2:
7x + 60 = 5x + 120
Step 3:
7x+60=5x+120
Subtract 60 from both sides.
7x+(60-60)=5x+(120-60)
7x=5x+60
Subtract 5x from both sides
7x-5x=5x+60-5x
2x=60
Divide both sides by 2.
2x/2 = 60/2
x=30
Step 4:
7(30) + 60 = 5(30)+ 120
210+60=150+120
270 = 270
Step 5:
To find the unknown amount of weeks, you need to rewrite the equation isolate x on the left-hand side of the equation. I just subtracting/simplified the equation until I could solve it.
(tbh got stuck on this one)
Some paint is made by mixing 3 cans of white paint to 7 cans of green paint. How many cans of white would you mix with 21 cans of green to keep the colour the same?
I need help with this question.
Answer:
[tex]\displaystyle S_{27}=675[/tex]
Step-by-step explanation:
The sum of N consecutive natural numbers is given by:
[tex]\displaystyle S_N=\frac{N}{2}(F+L)[/tex]
We need to find the sum of the natural numbers between 12 to 38.
To calculate the required sum we have F=12, L=38, but we don't have the value of N.
From 12 to 38 there are 38 - 12 + 1 = 27 natural consecutive numbers, thus N=27.
Substituting in the formula:
[tex]\displaystyle S_{27}=\frac{27}{2}(12+38)[/tex]
[tex]\displaystyle S_{27}=\frac{27}{2}(50)[/tex]
[tex]\displaystyle S_{27}=27*25[/tex]
[tex]\mathbf{\displaystyle S_{27}=675}[/tex]
Solve: -6y+2(y-6)=12
answer: = -6 mark me brainly
Answer:
Step-by-step explanation:
distribute
=
−
6
What is the result of F (X) = - 3 × -3
Hello There this is your answer
and hope you a GREAT Thanksgiving :)
F ( X ) = 9
Michael averages 5 three-pointers in his first 4 basketball games. How many does he need to score at his 5th game in order to bring his average to 6 three-pointers per game?
Answer:
10
Step-by-step explanation:
The easiest way to understand this is not the shortest way.
Give Michael 4 fives and then add an x.
5 + 5 + 5 + 5 + x
Now divide by 5 and equate that to 6
(5 + 5 + 5 + 5 + x)/5 = 6
Combine the left side
(20 + x)/5 = 6
Multiply by 5
(20 + x) = 6*5
20 + x = 30
Subtract 20 from both sides
x = 30 - 20
x = 10
He needs 10 three - pointers to average 6
The Jefferson band is selling baked goods to raise money for their trip. Their goa; is to profit at least $500. Each baked good sells for 2 dollars but costs $0.50 to make. How many baked goods will they have to sell to reach the goal?
Answer:
Break-even point in units= 334
Step-by-step explanation:
Giving the following information:
Desired profit= $500
Selling price= $2
Unitary variable cost= $0.5
To calculate the number of units to be sold, we need to use the following formula:
Break-even point in units= (fixed costs + desired profit) / contribution margin per unit
Break-even point in units= (0 + 500) / (2 - 0.5)
Break-even point in units= 334
18/24 greater than or less than 55%
Answer:
I think 55°% is less
HELP NOW 15 Points!!!!!!!
Which expression is not equivalent to the other three?
2x + 2+ 2x + 3x – 8
4 + 7x – 2
–2 + 5x + 2x – 4
8x – x – 6
Answer:
4+7x-2
Step-by-step explanation:
i dont know how nit is the anwser put i got it right
6. Camille is a first year accountant and a recent college graduate. She is paid a salary
of $40,000 per year, is expected to work 40 hours a week and is nonexempt because
this is her first year as a staff accountant. During tax season, thirteen weeks from
January 15 through April 15, she works 56 hours a week.
a. Does she receive overtime? Explain.
b. How much is her normal rate per hour?
c. What is her overtime rate per hour?
d. How much extra does Anne earn during tax busy season? (Jan to April)
jk ima awnser in one sec
Gray started the week with $150 in his checking account. The chart shows the credits and charges to his account during the week.
Credit Charge
$20 $52
$23 $16
$14 $28
How much money did Gray have in his account at the end of the week?
O $3
O $111
$189
$303
Answer:
111
Step-by-step explanation:
150 + 20 = 170
170 - 52 = 118
118 + 23 = 141
141 - 16 = 125
125 + 14 = 139
139 - 28 = 111
A line passes through the points (-5, 2) and (10,-1). Which is the equation of the line?
o y=-3x+1
O y-zx=3
O y = -5x – 23
O y = 5x + 27
HURRY
IM BAD AT MATH HELP ME
Answer:
bro i cant see the question clearly please say in comments or say again
Find the measure of each numbered angle.
angle 1 is
angle 2 is
angle 3 is
Answer: 360
253
Step-by-step explanation:
Use the inverse variation equation to fill in the table.
Answer: a= 0.1 b=20.775 c=0.02
Step-by-step explanation:
just got it right on edg
When x=1, find the value of y
1) -3
2) -1
3)1
4)-4
Answer:
y = -3
Step-by-step explanation:
The equation of the line is y = -x -2
We plug in the given x value into the equation to find y.
y = -(1) - 2
Simplify.
y = -3
Complete the equation of the line through (3,-1) and (4,7)
Answer:
y=8x-25
Step-by-step explanation:
I put my work in the picture I attached
Answer:
y=8x-25
Step-by-step explanation:
1) You find the slope by doing y2-y1/x2-x1 (so 7-(-1)/4-3) then you get the slope of 8
2) then you plug in some points using the slope (I'll use the point (3,-1)) : -1=8(3)+b
3) to find "b", you solve: -1=24+b --> b=-1-24 --> b=-25
4) then you put everything together and you get y=8x-25
Parker is in the business of manufacturing phones. He must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor. The equation C=175p+400 can be used to determine the total cost, in dollars, of producing pp phones in a given day. What is the y-intercept of the equation and what is its interpretation in the context of the problem?
9514 1404 393
Answer:
400; building and equipment fixed cost
Step-by-step explanation:
The cost equation has two terms. The constant term (400) is the daily fixed cost of building and equipment. The variable term (175p) represents the cost of producing p phones.
The y-intercept is 400. It is the daily fixed cost of the building and equipment.
Answer:
The y-intercept of the function is 400 which represents the fixed cost for rent and equipment.
Step-by-step explanation:
Since Parker must pay $400 even to make 0 phones, that means $400 is the fixed cost that Parker must pay for rent and equipment regardless of the number of phones produced.
Have a good day :)
what slope line passes through the points (-5,3) and (-3,8)
Answer:
5/2
Step-by-step explanation:
i aint never seen two pretty best friends, its always one em gotta be ugly
The slope of the line passing through (-5,3) and (-3,8) is 5/2.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
To find the slope of a line passing through two given points, we use the formula:
m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
where m is the slope and[tex](x_1, y_1) ~and ~(x_2, y_2)[/tex] are the coordinates of the two points.
Plugging in the values given, we get:
[tex]m = \frac{8-3}{-3-(-5)} = \frac{5}{2}$$[/tex]
Therefore,
The slope of the line passing through (-5,3) and (-3,8) is 5/2.
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solve 4/r = 5/20 will mark brainliest
Answer:
= 16
Step-by-step explanation:
Simplify \frac{5}{20}
20
5
to \frac{1}{4}
4
1
.
\frac{4}{r}=\frac{1}{4}
r
4
=
4
1
2 Multiply both sides by rr.
4=\frac{1}{4}r4=
4
1
r
3 Simplify \frac{1}{4}r
4
1
r to \frac{r}{4}
4
r
.
4=\frac{r}{4}4=
4
r
4 Multiply both sides by 44.
4\times 4=r4×4=r
5 Simplify 4\times 44×4 to 1616.
16=r16=r
6 Switch sides.
r=16r=16
Write and solve an inequality to represent the situation below.
When Chelsea babysits, she charges $5 for each hour, x, she works plus $2 for bus fare. Chelsea want to earn at least $33 for her next babysitting job. How many hours must she work?
what is 20*5 yay plz help me anwer this
Answer: 100. Can I get a Brainlest.
100 is the answer
Multiply.....
God Bless
Meryl needs to add enough water to 11 gallons of an 18% detergent solution to make a 12% detergent solution. Which
equation can she use to find g, the number of gallons of water she should add?
Answer: 1.98/11+g = 12/100
Answer:
D [tex]\frac{1.98}{11+g} =\frac{12}{100}[/tex]
Step-by-step explanation:
edge
Percentage rate of increase or decrease y = 3500(1.079)
Answer:
Increase
Step-by-step explanation:
If you multiply the numbers it increases!
CAN ANYONE DO IT, IT IS EASY
Answer: 31
Step-by-step explanation:
180-20-35 = 125 (bottom triangle)
180 - 156 = 24
125 + 24 = 149
180-149 = your answer
Find the length of C using the Pythagorean theorem
Answer:
14^2+48^2=2500 sqrt2500= 50 c=50
Step-by-step explanation:
The length of c using the Pythagorean theorem is 50 units.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The given triangle is ABC which is right angle triangle
AB=c
BC=14 and AC=48
We have to find the value of c
By Pythagoras theorem, in a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides
AB²=AC²+BC²
c²=48²+14²
c²=2304+196
c²=2500
Take square root on both sides
c=√2500
c=50
Hence, the length of c using the Pythagorean theorem is 50 units.
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y+4= 2/3 (x+3) written in standard form
V5. Suppose you invest $5,000 at 9% interest, compounded annually, for 10 years. Determine the future value of your investment, using the compound interest formula.
Answer: $11836.8
Step-by-step explanation:
Given. That :
Amount invested = $5000
Interest rate = 9% = 0.09
Period = 10 years, compounded annually
Using the compound interest formula :
A = p(1 + r/n)^nt
A = final amount
P = principal or invested amount
r = rate of interest
n = number of times interest Is applied per period
t = period
A = 5000(1 + 0.09/1)^(1*10)
A = 5000(1.09)^10
A = 5000 * 2.36736367459211723401
A = 11836.81837296058617005
= $11836.8
The cost of 5 pounds of boudin is $26.What is the constant of proportionality that relates the cost in dollars,y, to the number of pounds of boudin,x?
Given :
The cost of 5 pounds of boudin is $26.
To Find :
The constant of proportionality that relates the cost in dollars y, to the number of pounds of boudin x .
Solution :
Price per boudin in terms of x and y is :
[tex]P=\dfrac{y}{x}[/tex]
Price per boudin by given data :
[tex]P=\dfrac{26}{5}[/tex]
So,
[tex]\dfrac{y}{x}=\dfrac{26}{5}\\\\y = \dfrac{26}{5}x[/tex]
Therefore, the constant of proportionality is [tex]\dfrac{26}{5}[/tex].
Hence, this is the required solution.
He width of a rectangular postcard is 4 inches and the diagonal is 7.6 inches long. What is the length of the postcard? Round your answer to the nearest hundredth.
Answer:
Adjacent = x = length = 6.46 inches
Step-by-step explanation:
Given the width and diagonal of a rectangular postcard,
Find the length using Pythagoras theorem
Hypotenuse ² = opposite ² + adjacent ²
Hypotenuse = 7.6 inches
Opposite = 4 inches
Adjacent = x
Hypotenuse ² = opposite ² + adjacent ²
7.6² = 4² + x²
57.76 = 16 + x²
subtract 16 from both sides
57.76 - 16 = x²
41.76 = x²
Find the square root of both sides
x = √ 41.76
= 6.46
x = 6.46 inches
Adjacent = x = length = 6.46 inches
What is the slope of the linear relationship shown in this table of values? x y -4 11 2 -1 5 -7
Answer:
2
Step-by-step explanation:
-1-11/-4-2 = -12/-6 = 2
The required slope for the linear relationship is -2.
Slope to be determine for table x = -4 2 5, y = 1 -1 -7 showing linear relationship.
Slope of function is defined as the rate at which function is increasing.
Here, slope
[tex]=\frac{y_2-y_1}{x_2-x_1} \\=\frac{-1-11}{2+4}\\= -2[/tex]
Thus, the required slope for the linear relationship is -2.
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