Final answer:
To find the total daily water usage of the family, divide the amount of water they use for cleaning, 68.9 gallons, by the percentage of their total usage that goes to cleaning, which is 26.5%. The result is that the family uses about 260 gallons of water every day.
Explanation:
To calculate how many gallons of water the family uses every day, we need to establish the total daily water usage based on the percentage used for cleaning.
Since we know that 26.5% of their total water usage is allocated for cleaning, and they use 68.9 gallons for this purpose, we can find the total daily usage with a simple division:
Total daily water usage = Water used for cleaning / Percentage used for cleaning Total daily water usage = 68.9 gallons / 0.265 Total daily water usage = 260 gallons (rounded to the nearest whole number)
Thus, the family uses approximately 260 gallons of water per day for all their needs, including cooking, cleaning, and drinking.
Final answer:
To find out how many gallons a family uses every day, set up a proportion to find the total amount of water used for cleaning and solve for x. The family uses approximately 259.62 gallons of water every day.
Explanation:
To find out how many gallons a family uses every day, we need to determine the total amount of water used for cleaning. The question states that 26.5% of the water used each day is for cleaning, and the family uses 68.9 gallons for cleaning. We can set up a proportion to find the total amount of water used:
26.5% / 100% = 68.9 / x
Now we can solve for x by cross multiplying:
26.5x = 68.9 * 100
Dividing both sides of the equation by 26.5, we find that x is approximately 259.62.
Therefore, the family uses approximately 259.62 gallons of water every day.
Find the value of x (no labels)
Answer:
x = 100
Step-by-step explanation:
The sum of the angles of a triangle are 180 degrees
x+ 42+ 38 = 180
Combine like terms
x + 80 = 180
Subtract 80 from each side
x+80-80 = 180-80
x = 100
Answer:
Easy!
Step-by-step explanation:
First, we have to know that:
The Sum of All Angles in a Triangle is 180 Degrees
(Self-explanatory, really)
This means that 42, 38, and x added together will equal 180 degrees, thus me set up our equation:
[tex]42+38+x=180\\x=100[/tex]
See? Simple.
Hope this helps!
FYI Remember that x= 100 Degrees
The tile backslash will be a mixture of colors of five-inch square tiles. One quarter of the tiles will be "Indian Red" one sixth will be "Tuscan Blue", one fifth will be "Eucalyptus", and the rest will be the color "Sand". What fraction of the tiles will be the color of "Sand"
Answer:
The fraction of tiles that will be the color of "sand" is 23/60
Step-by-step explanation:
we know that
The sum of the fractions of the tiles must be equal to 1
Let
x ----> the fraction of tiles that will be the color of "sand"
we have that
[tex]\frac{1}{4}+\frac{1}{6}+\frac{1}{5}+x=1[/tex]
solve for x
Find the Least Common Multiple of denominators
[tex]LCM=(2^2)((3)(5)=60[/tex]
Multiply both sides by 60
[tex]\frac{60}{4}+\frac{60}{6}+\frac{60}{5}+60x=60[/tex]
simplify
[tex]15+10+12+60x=60[/tex]
[tex]60x=60-37\\60x=23\\x=\frac{23}{60}[/tex]
therefore
The fraction of tiles that will be the color of "sand" is 23/60
George and Maria decided to create a garden in their backyard. George works on the garden every third day and Maria works on the garden every fourth day.
If they worked on the garden today, the number of days until they work on the same day again would be
.
Answer:
After 12 days
Step-by-step explanation:
4×3
O José lançou uma bola de cima de um muro. A distância da bola ao chão, em metros, quando percorre horizontal, é dada por d (x) = -0,4x/2 + 1,6x + 2
Answer:
[tex]1,43 m[/tex]
Step-by-step explanation:
1) Vamos reescrevê-la já que há dois termos do 1º grau e portanto, admite simplificação:
[tex]d(x)=\frac{-0,4x}{2}+1,6x+2\\d(x)=\left ( \frac{-0,4+3,2}{2} \right )x+2\\d(x)=\frac{2,8}{2}x+2\\d(x)=1,4x+2[/tex]
2) Agora, vamos fazer uma leitura mais atenta da função na qual d, indica "distância" e x
Considerando que José está em cima do muro, e jogou a boa a distância é calculada
[tex]0=1,4x+2\\x=\frac{-2}{1,4}\\x\approx -1.43\\[/tex]
Como distância é um valor absoluto, isto é não existem distâncias "negativas" então |-1,43|=1,43
3)
The base of a polyhedron is a square and the lateral faces are triangles. What polyhedron is being described??
9514 1404 393
Answer:
square pyramid
Step-by-step explanation:
The description fits that of a square pyramid.
smoothie contains 1 banana (B), 4 strawberries (St), 1 container of yogurt (Y), and 3 ice cubes (Ic). Write a balanced equation to describe the relationship. Write a conversion factor to show the relationship between the number of ice cubes and the number of smoothies produced. How many strawberries would you need to make 12 smoothies
Answer:
Step-by-step explanation:
Step 1: List the known quantities and plan the problem.
Known
have 1 Banana (B)
4 Strawberries (St)
1 Yoghurt (Y)
3 Ice cubes (Ic)
Therefore, the equation for our smoothie is shown below:
B+4St+Y+3Ic→BSt4YIc3
Step 2: Conversion factor to show relationship between ice cubes and smoothie
3Ic = BSt4YIc3 (conversion factor)
Step 3: Number of strawberries required to make 12 smoothies
4St = BSt4YIc3 (conversion factor)
12BSt4YIc3 * (4St/BSt4YIc3) = 48St
Answer:
A ;w ;
Step-by-step explanation:
Did the assignment
During the winter months there is a decrease of between 10 and 30 percent in business which of the following could not be the percent winter business is of the normal business
Answer: 30
Step-by-step explanation:
Leslie has a rectangular patio. She measures it and finds out it is 2135 feet long by 1115 feet wide. She wants to know how many square feet of tile she will need to completely cover the patio. Draw the patio, and label the measurements. How much tile will Leslie need to cover the patio? If each square foot of tile costs 75 cents, how much will she have to pay to cover her patio?
Answer: (1) Leslie will need 2,380,525 square tiles (1 foot by 1 foot each)
(2) She will have to spend $1,785,393.75 to cover her patio.
Step-by-step explanation: Please refer to the picture attached.
The rectangular patio has been designed and as shown in the diagram has on side measuring 2135 ft and the other side measuring 1115 ft. This means, in order to cover the entire patio, she would have to cover an entire area defined as 2,135 feet into 1,115 feet. If one tile measures 1 foot long by 1 foot wide, the total number of tiles to cover the patio can simply be derived as;
Area = L x W
Where the length is 2135 and the width is 1115,
Area = 2135 x 1115
Area = 2380525
**Having in mind that one tile measures 1 ft by 1 ft, the area of each tile is given as
Area = L x W
Area = 1 x 1
Area = 1 square foot**
(1) The above calculation shows that Leslie would be using up a total of 2,380,525 square tiles to completely cover her patio.
(2) Having been told that each square foot of tile costs 75 cents ($0.75), the total amount spent to cover her patio would be calculated as follows;
Cost = Area x cost per tile
Cost = 2380525 x 0.75
Cost = 1785393.75
The total cost therefore is $1,785,393.75
Leslie needs [tex]\( 2380025 \)[/tex] square feet of tile, and it will cost her [tex]\( \$1785018.75 \)[/tex] to cover her patio.
1. Calculate the area of the patio:
[tex]\[ \text{Area} = 2135 \times 1115 = 2380025 \text{ square feet} \][/tex]
2. Calculate the total cost of tiles:
[tex]\[ \text{Total cost} = 2380025 \text{ square feet} \times \$0.75/\text{sq ft} = \$1785018.75 \][/tex]
Therefore, Leslie needs [tex]\( 2380025 \)[/tex] square feet of tile, and it will cost her [tex]\( \$1785018.75 \)[/tex] to cover her patio.
3 Ms. O'Conner took a poll of 80 students to find out
how they get to school. How many more students get
to school on a bus than in a car?
How We Get to School
12%
walk
40%
bus
18%
bicycle
30%
car
Answer:
8!
Step-by-step explanation:
find numbers for school bus and car by multiplying percentages in decimal form 40% turns into .40 and 30 into .30
0.4x80 and 0.3x80 = 32 and 24. 32-24=8
Answer: 8!
Step-by-step explanation:
i will give u a crisp high five if u answer his for me playboi
Answer:
The answer is around 190°
Step-by-step explanation:
You use A= (central angle/ 360) x πr²
Substitute the values you have and solve:
59.66 yd² = [tex]\frac{x}{360}[/tex] x π x (6)²
59.66 yd² = [tex]\frac{x}{360}[/tex] x π x 36
Solve for x and you get 189.9036781 ≈ 190°
Answer:
around 190°
Step-by-step explanation:
Solve the equation. 8 – 2x = –8x + 14 x = –1 x = x equals negative StartFraction 3 Over 5 EndFraction x = x equals StartFraction 3 Over 5 EndFraction x = 1
Answer:
x =1
Step-by-step explanation:
Solve the equation:
8 - 2x = -8x + 14
Collect like terms
8 - 14 = -8x + 2x
-6 = -6x
x = -6/-6
x = 1
Answer:
x=1
Step-by-step explanation:
i did the quiz
Consider the circle above. What is the approximate area of the circle?
Answer:
The area of a circle is : π (Pi) times the Radius squared : A = π r 2 or, when you know the Diameter: A = (π /4) × D 2 or, when you know the Circumference: A = C 2 / 4 π
Four hundred fifty-six minus two hundred and seventy-eight
Answer:
whoa this hard its almost liek you can use a calculator smh
Step-by-step explanation:
Answer:
178
Step-by-step explanation:
456 - 278 = 178
A bakery sold 101 cupcakes in one day. The head baker predicted he would sell 81 cupcakes that day. What was the percent error of the baker's prediction? *
Answer:
19.8% is the percent error of the baker's prediction.
Step-by-step explanation:
We are given the following in the question:
Total number of cupcakes sold in 1 day = 101
Predicted number of cupcakes sold = 81
We have to find the percent error of the baker's prediction.
Percentage error =
[tex]=\dfrac{\text{Actual value - Predicted value}}{\text{Actual values}}\times 100\%[/tex]
Putting values, we get
[tex]=\dfrac{101-81}{101}\times 100\%\\\\=19.8\%[/tex]
Thus, 19.8% is the percent error of the baker's prediction.
The slope of the graph of y = -7x is what?
Answer:
-7
Step-by-step explanation:
In y = mx + c,
m is the slope
m is the coefficient of x
in y = -7x,
m = -7
The radius of the base of a cone is decreasing at a rate of 2 22 centimeters per minute. The height of the cone is fixed at 9 99 centimeters. At a certain instant, the radius is 13 1313 centimeters. What is the rate of change of the volume of the cone at that instant (in cubic centimeters per minute)?
Answer:
The Volume is decreasing at a rate of [tex]156\pi[/tex] [tex]cm^3[/tex] per minute.
Step-by-step explanation:
Given a cone of radius r and perpendicular height h
Volume of the cone, [tex]V=\frac{1}{3}\pi r^2 h[/tex]
Since the height of the cone is fixed, the rate of change of the volume of the Cone, [tex]\frac{dV}{dt}[/tex] is given as:
[tex]V=\frac{1}{3}\pi r^2 h \\\frac{dV}{dt}=\frac{h\pi}{3} \frac{d}{dt} r^2\\\frac{dV}{dt}=\frac{2rh\pi}{3} \frac{dr}{dt}[/tex]
We are to determine the rate of change of the Volume, V when:
The radius is decreasing at a rate of 2 cm per minute, [tex]\frac{dr}{dt} = -2 cm/min[/tex]
Height, h=9 cm
Radius = 13cm
[tex]\frac{dV}{dt}=\frac{2rh\pi}{3} \frac{dr}{dt}\\=\frac{2*13*9\pi}{3}* ( -2)\\\frac{dV}{dt}=-156\pi \:cm^3/min[/tex]
The Volume is decreasing at a rate of [tex]156\pi[/tex] [tex]cm^3[/tex] per minute.
What is the value of x in the problem attached?
Answer:
20
Step-by-step explanation:
subtract 5 from 85 then divide by 4
85-5=80
80/4=20
8(2x-14)+13=4x-27
I need help
Answer:
12/70
Step-by-step explanation:
expand brackets
16x-112 + 13 = 4x-27
16x - 99 = 4x-27
16x= 4x + 70
12x=70
x = 12/70
Ginger likes to ride her bicycle and she wants to ride 30 miles the first day, 55 miles the second day and 100 miles the third day. How many miles will she ride during the three days?
Answer:
30+55+100=185
Step-by-step explanation:
The soot produced by a garbage incinerator spreads out in a circular pattern. The depth, H(r), in millimeters, of the soot deposited each month at a distance r kilometers from the incinerator is given by H(r)=0.116eâ2.3r.Write a definite integral (with independent variable r) giving the total volume of soot deposited within 5 kilometers of the incinerator each month.
Answer:
V = integral of [ 0.116e^(-2.3r) * 2πr (10^3) ] dr with upper limit of 5 and lower limit of 0. Unit in m^3.
Step-by-step explanation:
H(r) = 0.116e^(-2.3r)
H(r) = millimeters
r = kilometers
We'll use Riemann's sum to approximate the total area underneath the region of the integral.
Using Riemann's sum, we break the region into rings of radius r and width ∆r.
Area of rings = πr^2
Area of the rings with radius r and width ∆r, then becomes=
π(r+ ∆r)^2 - πr^2
On expanding:
Area = π[ r^2 + 2r∆r + (∆r)^2] - πr^2
= πr^2 + 2πr∆r + π(∆r)^2 - πr^2
= 2πr∆r + π(∆r)^2
Area = ∆r(2πr + π∆r)
Area/∆r = 2πr + π∆r
At lim ∆r tends to zero
Area/∆r = 2πr + 0 = 2πr
Area = 2πr∆r
Volume = Area * depth
= Area * H(r)
∆V approximately equal to:
2πr∆r * H(r)
Sum of the contribution for all the rings for the volume (total volume):
V approximately sum of [H(r) *2πr∆r]
V ≈ ∑H(r)· 2πr∆r.
Taking the limit as ∆r tends to zero,
V = integral of [ 0.116e^(-2.3r) * 2πr ] dr with upper limit of 5 and lower limit of 0.
The term H(r) and Area are not in the same unit. We would convert both to meters.
H(r) = mm = 10^(-3)m
Area = km^2 = km*km
= (10^3)m * (10^3)m = (10^6)m^2
V = integral of [(10^-3m) * 0.116e^(-2.3r) *2πr (10^6m^2) dr] with upper limit of 5 and lower limit of 0.
V = integral of [ 0.116e^(-2.3r) * 2πr (10^3) dr ] with upper limit of 5 and lower limit of 0. Unit in m^3.
What is the greatest common factor of the terms in the expression 21 x minus 18 x + 28 x y?
3
3x
x
xy
Answer:
I believe it’s x but i’m not 100% sure. hope this helps :)
Step-by-step explanation:
Answer:
it’s x hope this helps :)
Step-by-step explanation:
Patricia needs 10 yards of fabric to make curtains for her bedroom she also needs 3 yards of fabric to make a cover for her storage bench Patricia has 15 feet of fabric how many more feet of fabric does she need
Answer:
24 feet
Step-by-step explanation:
According to the question, Patricia needs 10 yards of fabric to make curtains for her bedroom she also needs 3 yards of fabric to make a cover for her storage bench
So, she needs 13 yards
converting into feet
1 yard = 3 feet
13 yards x 3 = 39 feet
Now, she already has 15 feet of fabric.
Finding out the difference : 39 - 15= 24 feet
Therefore, she needs 24 feet more of fabric
Answer:
She needs an additional 24 feet of fabric.
Step-by-step explanation:
In order to solve this problem we first need to calculate how many yards of fabric Patricia needs. This will be given by the sum of the fabric needed for the curtains and the fabric required to cover the storage bench. As seen bellow:
required fabric = 10 + 3 = 13 yards
We need to convert this value to feets, so the units are the same. To do that we multiply by 3.
required fabric = 13*3 = 39 feet
To know how many more fabric she needs we have to subtract the required fabric for the task by the total she already has. This is shown bellow:
needed fabric = 39 - 15 = 24 feet
She needs an additional 24 feet of fabric.
Que es la mitad de 5
Answer:
2,5
Step-by-step explanation:
es decimal porque es un numero impar
Answer:
2.5
Step-by-step explanation:
básicamente, dividirías 5 y 2. No hagas 2 y 5. Eso te dará un número completamente diferente y no querrás un decimal de la fracción 2/5. Quieres la mitad de 5. ¡Entonces será 2.5! Lo siento, estoy usando el traductor de Google.
Twice a number plus twice a second number is 310. The difference between the numbers is 55. Find the numbers by writing and solving a system of equations. Explain how you solved the system.
Answer:
2x+2y=310
x-y=55
multiply seond equation by 2 and adding to first equation
2x-2y=110
add
2x-2y=110
2x+2y=310 +
4x+0y=420
4x=420
divide 4
x=105
sub
x-y=55
105-y=55
minuse 105
-y=-50
mult -1
y=50
the numbers are 105 and 50
I need help on this quick
Answer:
The hypotenuse to the nearest tenth is 8.1
Step-by-step explanation:
We can use the Pythagorean theorem to solve
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
Let a be the x leg and b be the y leg
a = 7 units
b= 4 units
7^2 + 4^2 = c^2
49+ 16 = c^2
65 = c^2
Take the square root of each side
sqrt(65) = sqrt(c^2)
8.062257748 =c
To the nearest tenth
8.1 =c
Find the value of 5w-1 given that 3w-4=8
Simplify your answer as much as possible
Answer:
19
Step-by-step explanation:
Solve for the value of w.
3w - 4 = 8
Isolate the variable, w. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, add 4 to both sides:
3w - 4 (+4) = 8 (+4)
3w = 8 + 4
3w = 12
Divide 3 from both sides to fully isolate the variable, w:
(3w)/3 = (12)/3
w = 12/3
w = 4
Plug in 4 for w in the first expression & solve:
5w - 1
5(4) - 1
20 - 1
19
19 is your value.
~
Answer:
19
Step-by-step explanation:
First, we need to solve for w by isolating it
3w-4=8
Add 4 to both sides
3w=12
Divide both sides by 3
w=4
Now we know w and can plug 4 in for w and solve
5w-1
5(4)-1
20-1
19
The life in hours of a biomedical device under development in the laboratory is known to be approximately normally distributed. A random sample of 15 devices is selected and found to have an average life of 5617.8 hours and a sample standard deviation of 234.5 hours.
a) Test the hypothesis that the true mean life of a biomedical device is greater than 500 using the P - value approach.
b) Construct a 95% lower confidence bound on the mean.
c) Use the confidence bound found in part (b) to test the hypothesis.
Answer:
a) The evidence suggest the true mean life of a biomedical device > 5500
b) (5487.94, +∞)
c) There is evidence to support that the mean is equal to 5500
Step-by-step explanation:
Here we have
(a) To test the hypothesis we have the claim that the mean life of biomedical devices > 5500
Therefore, we put the null Hypothesis which is the proposition that a difference does not exist. That is
H₀: μ = 5500
Therefore, the alternative hypothesis will be
Hₐ: μ > 5500
The test statistic is then found by;
[tex]t=\frac{\bar{x}-\mu }{\frac{s }{\sqrt{n}}} =\frac{5617.8-5500 }{\frac{234.5 }{\sqrt{15}}} \approx 1.95[/tex]
The P value from the T table at df = n - 1 = 15 - 1 = 14 is
0.025 < P < 0.05
The P value is given as 0.036 from the T distribution at 14 derees of freedom df
Therefore, since P < α or 0.05, we reject the null hypothesis. That is we fail to reject Hₐ: μ > 5500. The evidence suggest the true mean life of a biomedical device > 5500
(b) The 95% confidence interval is given as
[tex]CI=\bar{x}\pm t_\alpha \frac{s}{\sqrt{n}}[/tex]
Which gives t[tex]_\alpha[/tex] = [tex]\pm[/tex]2.145
[tex]CI=5617.8\pm 2.145 \times \frac{234.5}{\sqrt{15}}[/tex]
The confidence interval of the lower bound on the mean is then
(5487.94, +∞)
c) From the above result, we find that the mean of 5500 is contained in the range of the lower confidence on the mean. We can therefore, accept the null hypothesis. That is there is evidence to support that the mean is equal to 5500.
Find the circumference of a circle whose radius is 7 in.
Answer:
43.96
Step-by-step explanation:
you get pi which is 3.14 times 7 and then times 2
Answer:
43.98 inches
Step-by-step explanation:
The circumference of a circle can be found using:
[tex]c=2r\pi[/tex]
We know r, or the radius is 7, so we can substitute that in
[tex]c=2*7(\pi )[/tex]
[tex]c=14\pi[/tex]
c=43.9822972
or, about
43.98 inches
2
3
x − 9 − 2x + 2 = 1
Answer: x = 8
Step-by-step explanation: Solve for the equation x - 9 - 2x + 2 = 1.
Step 1: x - 9 - 2x + 2 = 1
Step 2: x + (-2x) - 9 + 2
Step 3: x - 7 = 1
Step 4: x - 7 + 7 = 1 +7
Step 5: x = 8
help please! super urgent. simple math problem!! will mark brainliest
Answer:
B
Step-by-step explanation:
Answer:B
Step-by-step explanation: