Step-by-step explanation:
Let x be the number of households you mowed grass.
Let y be the number of households you shoveled snow.
From there, we know,
[tex]x + y = 22[/tex]
as equation 1.
next we also know,
[tex]150x + 225y = 3900[/tex]
as equation 2.
From here we know we can solve using simultaneous equations.
rearranging equation 1 with y the subject,
[tex]y = 22 - x[/tex]
Substitute this equation into equation 2.
[tex]150x + 225(22 - x) = 3900 \\ 150x + 4950 - 225x = 3900 \\ - 75x + 4950 = 3900 \\ - 75x = 3900 - 4950 \\ - 75x = - 1050 \\ x = - 1050 \div - 75 \\ = 14[/tex]
now substitute x = 14 into equation 1.
[tex]14 + y = 22 \\ y = 22 - 14 \\ = 8[/tex]
Therefore, you have mowed grass for 14 households and shovelled snow for 8 households.
please help as soon as possible
Answer:
m = [tex]\frac{4}{3}[/tex]
HELP ME PLEASE ITS DUE TODAY!!!!
Step-by-step explanation:
[tex] - 5 - ( - 4) = - 5 + 4 = - 1 \\ - 4 - ( - 5) = - 4 + 5 = 1 \\ - 4 - (5) = - 4 - 5 = - 9 \\ 4 - ( - 5) = 4 + 5 = 9[/tex]
Therefore ranking them from least to most:
[tex] - 4 - (5) \\ - 5 - ( - 4) \\ - 4 - ( - 5) \\ 4 - ( - 5)[/tex]
Can someone please help me and write out the answer
Answer:
2 x + (-2)
Step-by-step explanation:
You have two known points (1,0) and (0,-2)
the slope which is the coefficient of x = 2
and the y-intercept = -2
help. i’ll give brainliest & thank you!!
Answer:
The line with a slope of 1/2 is steeper
Step-by-step explanation:
Here, we want to get which slope is steeper
mathematically, when we want to know the line that has a steeper slope, we compare the value of the slopes
The line with a slope that is of greater value will be steeper
Mathematically, 1/2 is a greater number than 1/3
That simply means 1/3 is less steep and thus, the line with the slope of 1/2 is the steeper line
can someone help my lil sis.
Answer:
Step-by-step explanation:
Step 1 put the number in:
y=(3)(6)-(5)
Step 2 multiply:
y=18-5
Step 3 subtract:
y=13
Please look at picture
Answer and Step-by-step explanation:
1. Figure A, B, and C are Parallelograms
2. Figure A and C are Rectangles
3. Figure A is a Square
#teamtrees #PAW (Plant And Water)
Answer:
1) a, b, & c
2) a & c
3) a & c
Step-by-step explanation:
Please help, solve for x
Answer:
x=39°
Step-by-step explanation:
the tangent from the diameter is 90°
x+90+51=180 sum of interior angle of the triangle is 180
x=180-90-51=39°
Question is in the picture
Answer:
y = 3x + 1
Step-by-step explanation:
y = 3x + 1 because the slope enters at 1, rise/run
The height of the rectangular prism measures 64 cm. If the height is increased by 1.5 cm, by how much will the surface area of the box increase?
Answer:
Increase in surface area = 126 cm²
Step-by-step explanation:
Surface area of the rectangular prism has the dimensions as
Length = 42 cm
Width = 35 cm
Height = 64 cm
Total surface area of the rectangular prism = 2(lb + bh + hl)
Here, l = Length of the box
b = Width of rectangular box
h = height
Total surface area = 2(42×35 + 35×64 + 64×42)
= 2(1470 + 2240 + 2688)
= 12796 cm²
If height is increased by by 1.5 cm, new height of the box = 64 + 1.5 = 65.5 cm
Surface area of the box = 2(42×35 + 35×65.5 + 65.5×42)
= 2(1470 + 2240 + 2751)
= 12922 cm²
Increase in surface area = 12922 - 12796
= 126 cm²
Hailey went hiking she started the hike at the elevation of 243 feet she climbed down 782 feet when she was ready to leave she climbed back up 118 feet what was haileys elevation at the end of the hiking trip
Answer:
-421 feet
Step-by-step explanation:
If she started at 243 feet, subtract 782 feet which is -539 feet. Then add 118 feet which is -421 feet. This is how my sister did it so I hope it helps!
The coordinates of the vertices of triangle QRS are Q (1,-2), R (1,9),
S (6,-4). What is the length, in units, of the line segment that connects
vertex Q to vertex R?
I think 1700000000000000000
Answer:
QR = 11
Step-by-step explanation:
Q and R are on a vertical line. Therefore, QR = 9 - (-2) = 9 + 2 = 11
Asif wants to open a lemonade stand during a town fair. He buys a pitcher and lemonade concentrate from a store for this purpose. At the lemonade stand, the cost for each cup of lemonade will be the same. If Asif sells 32 cups of lemonade, he will have a profit of $0. If he sells 45 cups of lemonade, he will have a profit of $16.25.
Complete question
Asif wants to open a lemonade stand during a town fair. He buys a pitcher and lemonade concentrate from a store for this purpose. At the lemonade stand, the cost for each cup of lemonade will be the same. If Asif sells 32 cups of lemonade, he will have a profit of $0. If he sells 45 cups of lemonade, he will have a profit of $16.25. Determine the rate of change for a function that represents Asif's profit, y, in dollars, from selling x cups of lemonade.
Answer:
Step-by-step explanation:
The rate of Change for the function that determines profit :
Slope value, m ;
Slope, m = Rise / Run = (y2-y1) / (x2 - x1)
y2 = 16.25 ; y1= 0 ; x2 = 45 ; x1 = 32
m = (16.25 - 0) / (45 - 32)
m = 16.25 / 13
m = 1.25
Hence, the rate of change in in profit for selling x k cuos of lemonade = $1.25
first to help gets marked brainliest… pls explain how u got the answer plsss
Answer:
177 ft below sea level
Step-by-step explanation:
282
10 x 12 = 120. This represents how man ft the hot air balloon rose.
282 - 120 = 162. Keep in mind your still below sea level.
162 + 15 = 177
You add 15 because the hot air balloon is going down 15 feet which adds to being below sea level. ( Your going deeper/lower)
What fraction is equivalent to 3/12?
A.12/48
B.1/4
C.18/60
D.24/96
Translate the sentence into an equation. Nine more than the quotient of a number and 2 is 5. Use the variable c for the unknown number.
Answer:
9 + (n/2) = 4
Step-by-step explanation:
find the measure of the angle indicated
PLEASE HELP
Let f(-x) = 5x – 2 and g(x) = 2x + 3 and find f(x) –
f(0) — 9(x) = 7x – 1
f(.2) – 9(x) = 7x + 1
f(x) — 9(2) = 3x – 5
f(x) – 9(x) = -3x +5
Answer:
3x - 5
Step-by-step explanation:
Given that f(x) = 5x - 2 and g(x) = 2x+3
f(x) - g(x) = 5x-2 - (2x+3)
Expand
f(x) - g(x) = 5x - 2 - 2x - 3
Collect like terms
f(x) - g(x) = 5x - 2x -2-3
f(x) - g(x) = 3x - 5
Hence the required answer is 3x - 5
If Z is the centroid of RST, RZ = 42, ST = 74, TW = 51, ZY = 23 and find each measure TZ = ? ZW = ? SY = ? XZ = ?
The Triangle RST is missing, so i have attached it.
Answer:
A) TZ = 34
B) ZW = 17
C) SY = 69
D) XZ = 21
Step-by-step explanation:
To form the centroid, we see median drawn from the centre of all three sides.
Thus means the 3 sides are divided into 2 and as such;
XS = XT
YR = YT
WR = WT
Now, for median that forms centroid, the two parts are usually not the same length but instead in the ratio 2:1. That means one portion of the line segment is twice the length of the other.
Thus, by inspection of the given triangle, we can say that;
SZ = 2(ZY)
TZ = 2(ZW)
RZ = 2(XZ)
A) Now, we are given TW = 51
TW is made up of TZ and ZW
But since TZ : ZW = 2:1, it means that;
TZ = ⅔ × TW
TZ = ⅔ × 51
TZ = 34
B) From earlier, we saw that TZ = 2(ZW).
Thus; 34 = 2(ZW)
ZW = 34/2
ZW = 17
C) We are given ZY = 23.
From earlier, we saw that;SZ = 2(ZY)
Thus; SZ = 2(23)
SZ = 46
From the attached image we can see that;
SY = SZ + ZY
Thus;
SY = 46 + 23
SY = 69
D) We are given RZ = 42.
From earlier, we saw that;
RZ = 2(XZ)
Thus;
42 = 2(XZ)
XZ = 42/2
XZ = 21
PLS HELP ME WITH THIS QUESTION
Carolyn has cut a piece of ribbon 29 centimeters long from a roll. Which
instrument would she use to measure the length of the piece of ribbon?
A) meter stick
B) graduated cylinder
C) weighing scale
D) measuring spoon
Answer:
A. meter stick
Step-by-step explanation:
The other answers do not make sense.
B is used to measure liquids.
C is used to measure weight/mass
D is used to measure the ingredients needed for a recipe, usually cooking.
The height of a triangle is 2 less than 5 times its base. If the base of the triangle is x feet, and the area of the triangle is 12 square feet, which equation models this situation?
Answer:
12 = 1/2(x)(5x - 2)
Bonus solution for x = 2.4 ft
Step-by-step explanation:
area = 1/2xh
h = 5x - 2
12 = 1/2(x)(5x - 2)
24 = 5x² - 2x
5x² - 2x - 24 = 0
x² - 0.4x - 4.8 = 0
(x - 2.4)(x + 2) = 0
x = 2.4
Answer:
5x^2 − 2x − 24 = 0
Step-by-step explanation:
What two integers have the product of -30 and the sum of -7?
Answer:
hope it helps you.......mm
Rachel needs to buy some pencils. Brand A has a pack of 28 pencils for $5.29. Brand B has a pack of 48 pencils for $8.47 . Find the unit price for each brand. Then state which brand is the better buy based on the unit price. Round your answers to the nearest cent.
Answer:
Hence Brand B is the better buy, since the unit cost is smaller than A
Step-by-step explanation:
Given data
Brand A
Has a pack of 28 pencils for $5.29
unit cost
=5.29/28
=$0.19
Brand B
Has a pack of 48 pencils for $8.47
unit cost
=8.47/48
=$0.18
please help me solve this equation
Answer:
-85
Step-by-step explanation:
We are given the equation [tex]E^8_{n=1}[/tex][tex](-2)^{n-1}[/tex] and are asked to evaluate it.
This can be solved using the geometric sequence, but first we have to determine our "r", "n", and [tex]a_{1}[/tex].
Of course [tex]a_{1}[/tex] is equal to 1. Therefore,
[tex]a_{1[/tex] = 1
[tex]r=[/tex]
[tex]n=[/tex]
(-2) is the change per number in the sequence, therefore -2 is our "r".
[tex]a_{1[/tex] = 1
[tex]r=-2[/tex]
[tex]n=[/tex]
The number "8" on [tex]E^8_{n-1}[/tex] represents the "n". Therefore 8 is our "n".
[tex]a_{1}=1[/tex]
[tex]r=-2[/tex]
[tex]n=8[/tex]
Use the geometric sequence sum formula and substitute :
[tex]a_{1} \frac{1-r^n}{1-r}[/tex]
[tex]1* \frac{1-(-2)^8}{1-(-2)}[/tex]
[tex]1* \frac{1-(-2)^8}{1+2}[/tex]
[tex]1* \frac{1-256}{1+2}[/tex]
[tex]1* \frac{-255}{3}[/tex]
[tex]1 * -85[/tex]
[tex]-85[/tex]
1.2 ÷ 4 = 12 tenths ÷ 4
Answer:
Yes you're right, it does
The ships kitchen stocks 1 3/5 quarts of ice cream for every 1/4 cake. There are 10 cakes in the kitchen. How many quarts of ice cream are there?
PLEASE EXPLAIN YOUR ANSWER!!!!
Answer:
3
Step-by-step explanation:
I can't explain.. i don't know it's like a whole paragraph. I'm sorry! I hope I helped tho!
Answer:
The answer is 64, and I’m being for real
Step-by-step explanation:
What is the slope of the line shown?
Answer:
The slope is -2
Step-by-step explanation:
Well youc an find two points and use the slope formula to find the slope.
(y2-y1) / (X2-x1)
Arul performed an experiment to determine which crank powered radio works best. He cranked 15 randomly selected radies of each brand 30 times at the same speed and measured how long the radies played in minutes before running out of power the results of the experiment are displayed in the box plots below
Answer:
50%
Step-by-step explanation:
Please help me with this
What mathematical operation is used in a check register when a withdrawal is made?
Group of answer choices
Answer:
Subtraction
Step-by-step explanation:
In general, there are two things you can do with savings:
withdraw or deposit.
Withdraw essentially means to take out money and deposit is converse.
These two processes can be associated with the mathematical operations subtraction and addition respectively.