Answer:
Make all sides right angles
Step-by-step explanation:
Answer: B.
Step-by-step explanation:
A square must have 4 right angles and perpendicular congruent diagonals which already meets the requirements of a rhombus.
find the diameter of a circle with and area of 90.25 pi m square
Answer:
The diameter of the circle is 19 m
Step-by-step explanation:
The formula of the area of a circle is A = π r², where r is its radius
To find the diameter from the area of the circle equate the formula of the area by the value of the area to find r, then multiply r by 2 because the diameter of a circle is equal twice its radius
∵ The area of the circle is 90.25 π m²
∵ A = π r²
- Equate A by 90.25 π
∴ π r² = 90.25 π
- Divide both sides by π
∴ r² = 90.25
- Take √ for both sides
∴ r = 9.5
∵ The diameter of a circle is twice its radius
∴ d = 2 r
- Substitute r by 9.5
∴ d = 2(9.5)
∴ d = 19
The diameter of the circle is 19 m
Answer:
The diameter would be 19 m
Step-by-step explanation:
hope i helped
an elevator at a construction site has a maximum capacity of 2500 pounds. if the elevator operator weights 160 pounds and each cement bag weighs 60 pounds, how many bags of cement can be safely lifted on the elevator in one trip?
Answer:
39 bags (at max)
Step-by-step explanation:
160 + 60x《2500
60x《2340
x《39
Answer: the answer would be 39 bags of cement
Step-by-step explanation: 2500- 160= 2340
2340/60 (each bag of cement) it equals 39
Ethan and Chloe shared £50 in the ratio 1:4
Ethan's share is £10, and Chloe's share is £40, resulting in a total of £50.
To determine the amounts Ethan and Chloe received when sharing £50 in the ratio 1:4, follow these steps:
1. Calculate the Total Parts in the Ratio:
Add the parts of the ratio: 1 + 4 = 5.
2. Determine the Share for Each Part:
Divide the total amount by the total parts: £50/5 = £10.
3. Multiply the Share per Part by Respective Parts:
- Ethan's share: £10 * 1 = £10
- Chloe's share: £10 * 4 = £40
Therefore, Ethan received £10, and Chloe received £40.
In summary, when the ratio is 1:4, the total ratio parts are 5, and each part represents £10. Ethan's share is £10, and Chloe's share is £40, resulting in a total of £50.
Complete question:
Ethan and Chloe shared £50 in the ratio 1:4. What is the amount received by each of them.
Ethan received £10 and Chloe received £40.
Ethan and Chloe shared £50 in the ratio 1:4. To determine the amount received by each of them, we can follow these steps:
1. Calculate the total parts in the ratio:
o The ratio is 1:4, which means there are a total of 1 + 4 = 5 parts.
2. Divide the total amount (£50) into these parts:
o Each part is worth £50 ÷ 5 = £10.
3. Allocate the shares based on the ratio:
o Ethan receives 1 part, which is £10.
o Chloe receives 4 parts, which is 4 × £10 = £40.
Therefore, Ethan received £10 and Chloe received £40.
Complete question:
Ethan and Chloe shared £50 in the ratio 1:4. What is the amount received by each of them?
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Lara has a triangle that has side lengths of 26, 34, and 58. She wants to reduce the triangle by one half, so she divides each side and each angle measurement by 2.
What error did Lara make?
Lara should have multiplied each measurement by 1/2.
Lara should have only divided the angles by 2 in order to reduce the triangle.
Lara should have only divided the side lengths by 2 in order to reduce the triangle.
Lara did not make an error.
C is correct,
A is wrong as it halves both the angles and lengths by two which is the same as what she did in the first place so it cannot be correct.
B is also wrong for a similar reason, a triangle cannot have less than 180 degrees, which is impossible as the angles just change naturally which is why all triangles must have 180 degrees, which is the reason she is wrong in the first place.
And D is just incorrect, if she wanted to have shorter sides she should have only decreased all the lengths as it the the ratio of angles that determine the shape of a triangle while the sum of all angles is 180 degrees.
Answer: C
Step-by-step explanation:
One third of a number increased by 7 is five. What is the number?
Final answer:
To solve this problem, we can set up an equation and solve it to find the number. The number is -6.
Explanation:
To solve this problem, let's set up an equation. Let's assume the number is represented by x. The problem states that one third of the number increased by 7 is five, so we can write the equation as:
(1/3)x + 7 = 5
To solve for x, we can subtract 7 from both sides of the equation:
(1/3)x = 5 - 7
Next, we simplify the right side of the equation:
(1/3)x = -2
Finally, to isolate x, we multiply both sides of the equation by 3:
x = -2 * 3
Therefore, the number is -6.
A fair coin is flipped eight times. What is the probability of the coin landing heads up exactly 2 times?
Answer:
50%
Step-by-step explanation:
no matter how many times it is flip you will get heads or tails.
Answer:
50%
Step-by-step explanation:
two sides 1/2= 50%
What is the interest on $3,500 borrowed for two years at 2.5% interest?
Answer:
turn the percentage into a decmial and then multiply the money
help on this please !! trig ratios
Answer: 0.72
Step-by-step explanation: I’ve drawn the triangle out and have assumed that 21 is adjacent and 29 is the hypotenuse. In that case, 21/29 = 0.724
NGC is a hot air balloon in the sky from her spot on the ground. The angle of elevation from Angie to the balloon is 40°. If she steps back 200 feet, the new angle of elevation is 10°. If Angie is 5.5 feet tall, how far off the ground is a hot air balloon?
Answer:
The distance from hot air balloon to the ground [tex]AC=50.1457 ft[/tex].
Step-by-step explanation:
Labelled diagram of given scenario is shown below.
Given that,
An angle of elevation of Hot air balloon by Angie is [tex]40[/tex]°.
When she stepped back [tex]200 ft[/tex] then angle of elevation was [tex]10[/tex]°.
Height of Angie is [tex]5.5 ft[/tex].
To find: How far off the ground is a hot air balloon.
So, from figure
Height of Angie [tex](BC) = 5.5ft[/tex]
In triangle Δ[tex]ABD[/tex],
⇒ [tex]tan {40\si {\degree}} = \frac{AB}{BD}[/tex]
⇒ [tex]AB = tan (40) \times BD[/tex] ....................(1)
Now, In triangle Δ[tex]ABE[/tex]
⇒ [tex]tan (10)= \frac{AB}{200+BD}[/tex]
⇒ [tex]AB = tan(10)\times (200+BD)[/tex]
Here, substituting the value [tex]AB[/tex] from Equation (1) we get,
[tex]tan(10)\times (200+BD)= tan(40)\times BD[/tex]
[tex]tan(10)\times 200+tan(10)\times BD= tan(40)\times BD[/tex]
⇒ [tex]BD\times (tan(40)-tan(10))=tan(10)\times 20[/tex]
⇒ [tex]BD\times 0.6628 = 35.2654[/tex]
⇒ [tex]BD = \frac{35.2654}{0.6628} =53.2067 ft[/tex]
Now, finding the value of [tex]AB[/tex] from equation (1)
[tex]AB= tan(40)\times 53.2067=0.8391\times 53.2067[/tex]
[tex]AB=44.6457 ft[/tex]
Therefore Length of [tex]AC= AB+BC[/tex] = [tex](44.6457 + 5.5) ft[/tex]
[tex]AC=50.1457 ft[/tex].
Hence,
The distance from hot air balloon to the ground [tex]AC=50.1457 ft[/tex].
Which unit of measurement can be used to express the volume of this prism
The unit of measure used to express the volume of a prism is cubic units correct option is c.
Volume refers to the amount of space occupied by a three-dimensional object. A prism, being a three-dimensional shape with length, width, and height, necessitates a measurement that encapsulates all three dimensions.
Prisms have a base shape that repeats through their height. Calculating volume involves finding the space enclosed within this repeating shape. By multiplying the area of the prism's base by its height.
Cubic units represent the volume of an object, akin to how square units represent area. They measure the number of unit cubes needed to fill the three-dimensional space within the prism. This measurement allows for precise quantification of space in a three-dimensional context.
complete the question
Which unit of measure can be used to express the volume of the prism?
a) unit squares
b) square units
c) cubic units
d) units
The mean absolute deviation is 0.1 what conclusions can be drawn A. The data points are closer to the media. B. The data points are far from the median C. The data points are far from the mean D. The data points are close to the mean
Answer:
D. The data points are close to the mean
Step-by-step explanation:
given data
mean absolute deviation = 0.1
The mean absolute deviation is the average of the absolute deviations of the data points relative to the mean. This means that the mean absolute deviation is averaged through the data, telling how far each data point is. The small value of the mean absolute deviation indicates that the mean difference (absolute deviation) between the data points and the mean is small and therefore the data points are close to the mean. The large value of the mean absolute deviation indicates that the data points are far above the mean. so correct option is D. The data points are close to the mean
The Roosevelt’s and the jaspers live in the same city and pay the same sales tax rate, and both families made 16,000 in taxable purchase last year if the Roosevelt’s made 91,000 and the jaspers made 37,000 last year is the sales tax in their city an example of a regressive tax
Answer:
Yes, the sales tax in their city is an example of regressive tax
Step-by-step explanation:
Firstly, we need to understand what is meant by the term regressive tax.
What is meant by a regressive tax system is a system of taxation in which there is a decrease in tax rate as there is an increase in amount subjected to tax.
Now, the key to knowing if what we have in the question is a regressive taxation is by calculating the percentage of the tax that was paid.
For the Roosevelt’s , the percentage of tax paid would be 16,000/91,000 * 100% = 17.6%
For the Jasper’s, the percentage of tax paid would be 16,000/37,000 * 100% = 43.24%
We can see that at a lower amount subjected to tax, the Jasper’s paid more and thus we can conclude irrevocably that sales tax in their city is an example of a regressive tax
The Hydro water department has a monthly service charge of $10.10 and a volume charge of $1.58 for every 100 cubic feet of water. The total monthly cost is equal to the service charge plus the charge for the volume used during the month. If we let x represent the number of cubic feet of water (in hundreds) and y represent the total monthly cost, then we have: total monthly cost = volume charge + service charge y = 1.58x + 10.10 If the Johnson family used 200 ft3 less water this month than last month, then they can expect A. an increase in their water bill of $3.16. B. a decrease in their water bill of $3.16. C. a decrease in their water bill of $20.20. D. an increase in their water bill of $20.20.
Answer:
B. a decrease in their water bill of $3.16.
Step-by-step explanation:
Monthly service charge =$10.10
Volume charge = $1.58 for every 100 cubic feet of water.
Total monthly cost = 1.58x + 10.10
If the Johnson family used [tex]200ft^3[/tex] less water this month than last month, then they can expect a reduction in their bill by the Volume charge for [tex]200ft^3[/tex].
Volume Charge per [tex]100ft^3[/tex] of water = $1.58
Therefore: Volume Charge for [tex]200ft^3[/tex] of water = 2 X $1.58=$3.16
Therefore, the Johnson family can expect a decrease in their water bill of $3.16.
The correct answer is B) a decrease in their water bill of $3.16.
Given the equation: y = 1.58x + 10.10
Johnson family used 200 cubic feet less water.
200 cubic feet = 2 hundreds of cubic feet.
Change in water usage: [tex]\(\Delta x = -2\)[/tex]
Calculate the change in the water bill:
[tex]\(\Delta y = 1.58 \times \Delta x\)[/tex]
[tex]\(\Delta x = -2\): \(\Delta y = 1.58 \times (-2)\)[/tex]
[tex]\(\Delta y = -3.16\).[/tex]
The water bill will decrease by $3.16.
Correct answer: B. a decrease in their water bill of $3.16.
Which scatterplot is labeled correctly if it is meant to show the relationship between the number of minutes that gym members spend running on a treadmill and the number of calories that they burn?
A graph titled Members versus Calories Burned has Members on the x-axis and calories burned on the y-axis. Points plotted are (10, 200), (20, 300), (30, 400), (35, 425), (40, 650), (50, 700).
A graph titled Minutes versus Calories Burned has Minutes on the x-axis and calories burned on the y-axis. Points plotted are (10, 200), (20, 300), (30, 400), (35, 425), (40, 650), (50, 700).
A graph titled Calories Burned versus Minutes has Calories burned on the x-axis and minutes on the y-axis. Points plotted are (160, 11), (200, 15), (300, 20), (376, 25), (390, 30), (400, 35).
A graph titled Calories Burned versus Members has Calories burned on the x-axis and members on the y-axis. Points plotted are (160, 11), (200, 15), (300, 20), (376, 25), (390, 30), (400, 35).
Answer:The answer is the 2nd graph cuh
Step-by-step explanation:
Answer:the second graph
Step-by-step explanation:
The formula m=logl/s determines the magnitude of an earthquake, where I is the intensity of the earthquake and S is the intensity of a “standard earthquake.” How many times stronger is an earthquake with a magnitude of 8 than an earthquake with a magnitude of 6? Show your work.
Final answer:
An earthquake with a magnitude of 8 is 100 times stronger than an earthquake with a magnitude of 6, as each whole number increase on the Richter scale represents a 10-fold increase in energy released.
Explanation:
The formula m=log(I/S) determines the magnitude of an earthquake, where I is the intensity of the earthquake and S is the intensity of a standard earthquake. To calculate how many times stronger an earthquake with a magnitude of 8 is than an earthquake with a magnitude of 6, we use the fact that each whole number increase on the Richter scale represents a 10-fold increase in the amount of energy released.
So, for an increase of one unit in magnitude:
10^1 = 10 times stronger
For an increase of two units in magnitude (from magnitude 6 to magnitude 8):
10^2 = 100 times stronger
Therefore, an earthquake with a magnitude of 8 is 100 times stronger than an earthquake with a magnitude of 6 when considering the energy released.
An earthquake with a magnitude of 8 is 1.33 times stronger than an earthquake with a magnitude of 6.
1. Understand the formula:
The formula m = log(I/S) relates the magnitude (m) of an earthquake to its intensity (I) and the intensity of a standard earthquake (S). The logarithm used is typically base-10.
2. Substitute the values:
We are given that the magnitude of the two earthquakes are 8 and 6. Let's substitute these values into the formula:
Earthquake 1: m1 = log(I1/S) (magnitude 8)
Earthquake 2: m2 = log(I2/S) (magnitude 6)
3. Simplify the equation:
We want to find the ratio of the intensities (I1/I2). To do this, we can manipulate the equations and solve for I1/I2:
Divide both equations by m2 (magnitude of earthquake 2):
m1 / m2 = log(I1/S) / log(I2/S)
Since both sides of the equation have the same base (10), we can equate the exponents:
m1 / m2 = I1/I2
4. Calculate the ratio:
Now, plug in the magnitudes (m1 = 8, m2 = 6):
8 / 6 = I1/I2
5. Solve for the ratio:
Simplify the fraction:
I1/I2 = 4/3
Therefore, an earthquake with a magnitude of 8 is 1.33 times stronger than an earthquake with a magnitude of 6.
Tara is shown a picture of a dart board along with some dimensions. She knows that each triangular section in the dartboard is congruent. What is the approximate length of arc x?
Answer:
The approximated length of arc x is 4 inches ⇒ C
Step-by-step explanation:
The diameter of the outer circle is 28 inchesThere is a boundary with width 2 inchesThat means the diameter of the inner circle is less than the diameter of the outer circle by 4 inches (2 in from each side)
The diameter of the inner circle = 28 - 4 = 24 inchesThe circumference of the inner circles formed from 20 congruent arcs of length x inches
The circumference of the inner circle = 20 xNow let us find x
The formula of the circumference of a circle is C = π d, where d is the diameter of the circle
∵ The diameter of the inner circle is 24 inches
∴ d = 24
∴ C = 24 π
∵ C = 20 x
- Equate 20 x by 24 π
∴ 20 x = 24 π
- Divide both sides by 20
∴ x = 3.769911184
- Round it to the nearest unit
∴ x ≅ 4
The approximated length of arc x is 4 inches
Leila has $134, and Dianne had $180. After both of them spent an equal amount of money shopping, Dianne had 3 times as much money as Leila. How much did each of them spend?
They spent $111 on shopping
Step-by-step explanation:
Let the amount they spent be 'a'
Leilas amount = $134
Diannes amount = $180
After they spent same amount on shopping dianne had 3 times as much money as Leila
180 - a = 3(134 - a)
180 - a = 402 - 3a
3a - a = 402 - 180
2a = 222
a = $111
They spent $111 on shopping
The population of Brazil was 162,300,000 in 1995. It was growing at a rate of about 2% per decade. Predict the population, to the nearest hundred thousand, of Brazil in 2015
Answer:
The population is 168,900,000 to the nearest hundred thousand
Step-by-step explanation:
In this question, we are tasked with calculating the population of Brazil given its population in 1995 and her growth rate per decade.
Mathematically, we use an exponential function to calculate this population.
This can be written as P = I(1 + r)^n
where P is the population in 2015 which we are looking for,
I is the initial population which is 162,300,000
r is the rate of increase per decade given as 2% = 2/100 = 0.02,
n is the number of times between the years we are expecting this growth. The difference between the years 2015 and 1995 is 20 years which signifies 2 decades(1 decade is 10 years). Thus our n is 2
We plug these values into the equation above;
P = 162,300,000(1+0.02)^2
P = 162,300,000(1.02)^2
P = 168,856,920 which is 168,900,000 to the nearest hundred thousand
On rainy days, Francesca likes to ride the stationary bike at the gym. Yesterday, she rode for 30 minutes and covered 6 miles. Today, she plans to ride 8 miles.
If she rides at the same rate, how many minutes will it take Francesca to ride today?
Answer:
6/30=0.2 so 0.2 miles per minute
8/0.2=40 minutes
You can also check 30/6=5 so the conversion is 5
8 x 5 = 40 minutes.
Step-by-step explanation:
Hope this helps can I have brainliest
If on rainy days, Francesca likes to ride the stationary bike at the gym. Yesterday, she rode for 30 minutes and covered 6 miles. Today, she plans to ride 8 miles. If she rides at the same rate, how many minutes will it take Francesca to ride today will be 40 minutes
First step is to formulate
8×30÷6
Now let determine the how many minutes will it take Francesca to ride today
Number of minutes=8×30÷6
Number of minutes=8×6
Number of minutes=40 minutes
Inconclusion if on rainy days, Francesca likes to ride the stationary bike at the gym. Yesterday, she rode for 30 minutes and covered 6 miles. Today, she plans to ride 8 miles. If she rides at the same rate, how many minutes will it take Francesca to ride today will be 40 minutes.
Learn more here:
https://brainly.com/question/17023521
A car was purchased for $25,000. Research shows that the car has an average yearly depreciation rate of 18.5%. Create a function that will determine the value V(t), of the car t years after purchase. Determine to the nearest cent, how much the car will depreciate from year 3 to year 4
Answer:
V(t) = 25000 * (0.815)^t
The depreciation from year 3 to year 4 was $2503.71
Step-by-step explanation:
We can model V(t) as an exponencial function:
V(t) = Vo * (1+r)^t
Where Vo is the inicial value of the car, r is the depreciation rate and t is the amount of years.
We have that Vo = 25000, r = -18.5% = -0.185, so:
V(t) = 25000 * (1-0.185)^t
V(t) = 25000 * (0.815)^t
In year 3, we have:
V(3) = 25000 * (0.815)^3 = 13533.58
In year 4, we have:
V(4) = 25000 * (0.815)^4 = 11029.87
The depreciation from year 3 to year 4 was:
V(3) - V(4) = 13533.58 - 11029.87 = $2503.71
The depreciation from year 3 to year 4 was $2503.71
Exponential functionThe standard exponential function is expressed as:
[tex]y=a(1\pm r)^t[/tex]
r is the rate
t is the time
Given the following parameters
a = 25000,
r = -18.5% = -0.185,
Substitute into the formula
y = 25000 * (1-0.185)^t
y = 25000 * (0.815)^t
In year 3, we have:
y(3) = 25000 * (0.815)^3 = 13533.58
In year 4, we have:
y(4) = 25000 * (0.815)^4 = 11029.87
The depreciation from year 3 to year 4 was:
y(3) - y(4) = 13533.58 - 11029.87 = $2503.71
The depreciation from year 3 to year 4 was $2503.71
Learn more on depreciation here: https://brainly.com/question/25785586
What is the area of a rectangle 15 feet by 2 feet's rectangle. The shape of a flag is a rectangle. The length is 15 ft. And the width is 2 feet. What is the total area of the rectangle?
Answer:
30 ft^2
Step-by-step explanation:
Area of rectangle is length x width
= 15ft x 2ft = 30 ft^2
A rectangular prism aquarium holds 64 gallons of water. A similarly shaped aquarium holds 8 gallons of water. If a 1.5 ft2 cover fits on the smaller tank, what is the area of a cover that will fit on the larger tank
Answer:
The area of a cover that will fit on the larger tank is 6 square inches
Step-by-step explanation:
step 1
Find the scale factor
we know that
If two figures are similar, then the ratio of its Volumes is equal to the scale factor cubed
Let
z ---> the scale factor
so
[tex]z^3=\frac{64}{8}=8[/tex]
[tex]z=2[/tex]
step 2
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z ---> the scale factor
x ---> the area of a cover that will fit on the larger tank
y ---> the area of a cover that will fit on the smaller tank
so
[tex]z^2=\frac{x}{y}[/tex]
we have
[tex]z=2\\y=1.5\ ft^2[/tex]
substitute the given values
[tex]2^2=\frac{x}{1.5}[/tex]
solve for x
[tex]x=4(1.5)=6\ ft^2[/tex]
The area of the cover that will fit on the larger aquarium is approximately 12 square feet, calculated by multiplying the area of the smaller cover by the square of the scaling factor for linear dimensions (≈ 2.83) due to the difference in volume.
Explanation:Understanding Area Scaling in Rectangular PrismsTo find the area of a cover that will fit on the larger aquarium, we begin by understanding that the area scales by the square of the linear dimensions.
Since the volume of the larger aquarium is 64 gallons and the smaller one is 8 gallons, the volume scales by a factor of 64/8 = 8. Taking the square root of 8 gives us the scaling factor for the linear dimensions, which is sqrt(8) ≈ 2.83. The larger tank's cover will therefore need to increase by this scaling factor squared for its area.
To calculate the area of the larger tank's cover, we multiply the area of the smaller cover by this scaling factor squared: 1.5 ft2 * 2.832 ≈ 12 ft2. Thus, the cover for the larger tank should be approximately 12 ft2 in area. This demonstrates the concept that area is proportional to the square of the linear dimensions when scaling similar shapes.
Finding the coefficient a of the term in the expansion of the binomial.[tex](x^{2} + 3)^{12} ax^{8}[/tex]
Answer:
3,247,695
Step-by-step explanation:
We want the coefficient of the term with x^8
So Use Newton's Binomial Expansion formula
Formula is (x + y) ^n = Sum for i=0 to n (n choose i) x^(n-i)*y^i
here (x^2 + 3) ^ 12
( 12 choose i) * (x^2)^(12-i) * (3)^i
i needs to equal 8 for us to get x^8
(12 choose 8) * (x^2)^(12-8) * (3^8)
= (12 choose 8) * x^8 * (3^8)
so a = (12 choose 8) * [tex]3^{8}[/tex]
a = (12! /(8! * 4!) ) * [tex]3^{8}[/tex]
a = ( 12*11*10*9/ 4*3*2*1) * [tex]3^{8}[/tex]
a = (11*5*9) * [tex]3^{8}[/tex]
a = 11*5*9 * 6561
a = 3,247,695
What is 10 plus 10 divided by 10
Answer:
11
Step-by-step explanation
u need to do the problem using order of operation
first u do division it is 10 divided by 10 which is 1
10 plus the answer of 10 divided by 10 which is 11
Answer:
11
Step-by-step explanation:
using PEMDAS:
first divide 10/10 and then you get 1+1 which equals 11
Cross sections are formed by slicing through figure parallel to its base. in which figure will the cross section and the base NOT be the same size?
Answer:
B
Step-by-step explanation:
The second one gets smaller as it gets taller.
Answer:
the answer is BStep-by-step explanation:
What is the image point of (6,-
1) after a translation left 4 units and down 5 units?
Answer:
(2, -6)
Step-by-step explanation:
Answer:
The Right Answer Is (2,-6)
Step-by-step explanation:
I hope this help you!
Do you think there are any ordered pairs that are solutions to BOTH y = x + 5 and y = –2x – 1? Explain.
Answer:
The ordered pair is [tex](-2,3)[/tex]
Step-by-step explanation:
[tex] y=x+5\\
y=-2x-1\\
\implies x+5=-2x-1\\
\implies 3x=-6\\
\boxed{x=-2}\\
\implies y=-2+5=\boxed {3}\\[/tex]
Answer:
(-2,3)
Step-by-step explanation:
Set the two equations equal to each other since they both equal y
x + 5 = -2x - 1
+2x +2x Add 2x to both sides
3x + 5 = -1
- 5 - 5 Subtract 5 from both sides
3x = -6 Divide both sides by 3
x = -2
Plug this into one of the original equations
y = x + 5
y = -2 + 5 Add
y = 3
What is the yellow structure and what role does it play in a cell?
A group of hikers climbed to the top of a mountain. They climbed 2000 feet each day for five days to get to the top. Approximately how many miles tall was the mountain?
Answer:
The mountain is 1.89 miles tall
Step-by-step explanation:
Firstly, we need to compute the value in feet of the total distance traveled by the group.
We were told they traveled 2000 feet per day for 5 days, the total distance they have hiked would be 2000 * 5 = 10,000 feet
Now, we need to convert this to miles
Mathematically ;
1 foot = 0.000189 mile
Hence, 10,000 feet = 10,000 * 0.000189 = 1.89 miles
This means the mountain is 1.89 miles tall
Mikayla bought five shirts at $x three of the five came with a matching top for an additional $9 each. Write and simplify an expression that represents the total cost of her purchase
Answer:
The simplified expression that represents the cost of her purchase is "5x + 27"
Step-by-step explanation:
Since Mikayla bought five shirts each costing $x we need to multiply the number of shirts by the cost, so 5*x, but since three of these shirts came with and additional top that costs $9 we need to take those into account. So the expression that represents the cost of her purchase is:
cost of purchase = 5*x + 3*9
cost of purchase = 5x + 27
Answer:
5x + 27
Step-by-step explanation:
Since Mikayla bought five shirts each costing $x it would be 5x
->if three of the five came with a matching top for an additional $9 each, it would be 3 x 9.
therefore, the expression that represents the cost of her purchase is:
Total cost of purchase = 5x + (3 x 9)
Total cost of purchase = 5x + 27