Answer:
x=-7
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
7x−4=3+8x
7x+−4=3+8x
7x−4=8x+3
Step 2: Subtract 8x from both sides.
7x−4−8x=8x+3−8x
−x−4=3
Step 3: Add 4 to both sides.
−x−4+4=3+4
−x=7
Step 4: Divide both sides by -1.
−x/−1=7/−1
x=−7
What is the volume of a triangular pyramid that is 4ft tall and has a base area of 3 square ft?
Answer:
4 ft cubed.
Step-by-step explanation:
Hope this helps!
volume of a pyramid is 1/3 times b (area of your base) times the height of your prism. 4 times 3 is 12 times 1/3 is 4.
A circular plate has circumference 16.3 inches. What is the area of this plate? Use 3.14 for pi.
The area of this plate is about " blank" square inches
(Round the final answer to the nearest whole number as needed. Round all intermediate values to the nearest thousandth as needed.)
Plz answer will give brainiest to the person who answers this plz help!!!!!!!
Answer:
The area of this plate is about 21 in².
General Formulas and Concepts:
Algebra I
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityTerms/Coefficients
Geometry
Circumference Formula: C = 2πr
r is radiusArea of a Circle Formula: A = πr²
r is radiusStep-by-step explanation:
Step 1: Define
Identify given.
C = 16.3 in
Step 2: Find Radius r
[Circumference Formula] Substitute in C:Step 3: Find Area
[Area of a Circle Formula] Substitute in r:∴ we have found the area of the plate.
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Topic: Geometry
The ratio of the number of girls in choir is 5 to 4 there are 60 girls in choir how many boys are in choir
Answer:75
Step-by-step explanation:
The number of boys in the choir can be calculated by setting up a proportion based on the given ratio of 5 girls to 4 boys. With 60 girls in the choir, solving the proportion indicates that there are 48 boys in the choir.
Explanation:This question deals with the concept of ratios. In this context, the ratio of girls to boys in choir is given as 5 to 4, which means for every 5 girls, there are 4 boys. As there are 60 girls in the choir, we can determine the number of boys by setting up a proportion.
First, let’s set our ratio to match the girl to boy ratio from our question, which is 5 to 4 or 5/4. Then we set that equal to a ratio of the number of girls to x (the variable we're using to figure out the number of boys), which will be 60 to x, or 60/x.
So, 5/4 = 60/x. Then, we cross-multiply to solve for x, which results in 5x = 240. We then solve for x by dividing each side by 5. So, x = 240 ÷ 5 = 48. This means there are 48 boys in the choir.
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A computer and printer cost a total of 1218. The cost of the computer is two times the cost of the printer. Find the cost of each item.
Answer:
Computer costs 812, printer costs 406
Step-by-step explanation:
Let c represent the cost of a computer and p, the cost of a printer
c + p = 1218 ....eq 1
but,
c = 2p ...eq 2
Substitute the value of c in eq 1
2p + p = 1218
3p = 1218
Divide both sides by p
p = 406
Substitute the value of p in eq 2
c = 2 * 406
c = 812
q= r/2 (s +t) for t.
Answer:
t=2Q-sr/r
Step-by-step explanation:
We are to make t the subject of formula from the given question
Q=r/2 (s+t)
Q=Sr+tr/2
Cross multiply
2Q=Sr+tr
2Q-sr=tr
t=2Q-sr/r
An isosceles triangle has a perimeter of 75 cm. Each of the two equal sides is twice as long as the base. Find the length of the base.
Answer:
the base is 15cm
Step-by-step explanation:
Check out the photo and ask me if you need further explanation.
The base of the isosceles triangle is 15 cm, obtained by setting up the equation based on the given perimeter and the relationship between the base and the equal sides.
Explanation:Length of the Base of an Isosceles Triangle
Let's denote the base of the isosceles triangle as b, and each of the two equal sides as s. According to the problem, s is twice as long as b; hence, we can write s = 2b. Given the perimeter of the triangle is 75 cm, we can set up the equation 2s + b = 75, which simplifies to 2(2b) + b = 75, and further simplifies to 5b = 75. Solving for b, we get b = 75 / 5, which gives us b = 15 cm.
Therefore, the length of the base of the isosceles triangle is 15 cm.
Find the value of x
A) 22.5
B) 18.5
C) 18
D) 12
Answer:
A) 22.5
Step-by-step explanation:
The product of the length of one secant segment and its external part is equal to the product of the length of the other secant segment and its external part.
(5+13)*5 = x*4
18*5 = 4x
90 = 4x
Divide each side by 4
90/4 =4x/4
22.5 =x
Dylan’s dad’s age is currently the square of Dylan’s age. If Dylan is 6 years old, how old is his dad?
Answer:36
Step-by-step explanation: 6^2 is the same as 6 times 6. So his dad is 36
Answer:
36
Step-by-step explanation:
The table shows the relationship "Mason rode 15 miles per hour on his bicycle."
Hours (h)
1
2
3
4
Miles (m)
15
30
45
60
75
Which statements are correct? Check all that apply.
The variable m is the independent variable.
The number of miles increases as time increases.
The number of hours causes a change in the number of miles ridden.
The variable h is the independent variable.
NE
Save and Exit
The statements which are correct are-
The number of miles increases as time increases. The number of hours causes a change in the number of miles ridden. The variable h is the independent variable.Step-by-step explanation
The above table displays the relationship between the time taken in hours ("h") by Mayon to cover the distance (miles "m").
It means that the distance is dependent on time in hours. Hence, the variable "m" is a dependent variable since it depends on time "h" for which bicycle is being ridden.
Similarly, the variable "h" is an independent variable.
As seen from the table, the value of "m" continuously increases for the value of "h" and thus the number of hours causes a change in the distance ridden.
Answer:
The number of miles increases as time increases.
The number of hours causes a change in the number of miles ridden.
The variable h is the independent variable.
The variable m is the dependent variable.
Step-by-step explanation:
Trust me on this, also can I have brainiest please?
Hope you do well! :D
I also did the quiz, and got it correct.
Good luck!
WILL GIVE BRAINLIST!!
Answer: 3/12 miles
Step-by-step explanation: 1/6 is the same as 2/12 since you multiply by 2/2 to convert it. You need to get it so the denominators are the same number. The adding 1+3 in the numerator gets you 3/12
Answer: 1/12 is the next measurement
Step-by-step explanation: im not sure if its write i just want brainlest
What is the equivalent of 4 meters?
what is the y intercept of f(x)=2x^2+8x+6
Answer:
6 is the y intercept
Step-by-step explanation:
f(x)=-x^2-9x-4 find f(10)
The value of the given expression f(x)=-x² - 9x - 4 is -194.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The given expression f(x)=-x² - 9x - 4 will be solved as below:-
f(x)= -x² - 9x - 4
f(x)= -( 10 )² - 9x(10) - 4
f(x) = -100 - 90 - 4
f(x) = -194
Therefore, the value of the given expression f(x)=-x² - 9x - 4 is -194.
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What’s the answer to this question?
Answer:
The correct answer is C.) 93° and 55°.
Step-by-step explanation:
The sum of the three angles of any triangle always equate to 180°. If triangle M has similar angles when compared to triangle N, all we have to do is add the angles up and subtract their sum from 180.
180° - (32° + 93°) = ?
180° - 125° = 55°
Hope this helps,
❤Nicki❤
Meghan unfolded a three dimensional solid and formed the two dimensional figure below. Select all the statements that apply to this figure
Answer:
The statements that apply to this figure are:
3. The surface area is the lateral area plus the area of the two circles.4. This is the net of a cylinder.
5. The lateral area is the circumference of the circle multiplied by the height of the solid.
Explanation:
First, analyze the 2D figure and imagine what it is in 3D: you may bend the left circle 90º, then roll it along the line of the rectangle all the way up and then bend the other circle 90º.
The rectangle will become the lateral walls of a cylinder and each circle a base.
Thus, the net corresponds to a cylinder.
Now, check every statementÑ
1. This is the net of a cone
FALSE. It is a cylinder2. The volume is found by adding up the areas of the circles and the rectangle.
FALSE. By adding up the areas of the circles and the rectangle you get the area of the cylinder.
3. The surface area is the lateral area plus the area of the two circles.
TRUE. The lateral area of the cylinder is equal to the area of the rectangle. The area of the two circles is the area of the bases of the cylinder.
By adding the lateral area and the area of the bases you get the total surface area of the cylinder.
4. This is the net of a cylinder.
TRUE. Explained above
5. The lateral area is the circumference of the circle multiplied by the height of the solid.
TRUE. The circumference of the circle is equal to the length of the rectangle. Thus, by multiplying this by the height of the rectangle, which is the same height of the solid, you get the area of the rectangle and that is the lateral area of the cylinder.
6. The solid has 3 faces, 6 edges and 4 vertices.
FALSE. The only edges of the cylinder are the rims of the bases and a cylinder does not have vertices.
Hence, the true statements that apply in the figure are:
The surface area is the lateral area plus the area of the two circles.This is a net of a cylinder.The lateral area is the circumference of the circle multiplied by the height of the solid.Cylinder:A cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance. These bases are normally circular in shape (like a circle) and the center of the two bases are joined by a line segment, which is called the axis. The perpendicular distance between the bases is the height, [tex]'h'[/tex] and the distance from the axis to the outer surface is the radius [tex]'r'[/tex] of the cylinder.
Here this unfold is of a cylinder as it has [tex]2[/tex] circulars bare and [tex]1[/tex] rectangle side of the surface.
Total surface area is equal to= Surface area of lateral area + 2 circular area.
Lateral area= height[tex]\times[/tex]circumference of the circle.
This solid has 3 faces, 2 edges then, option 3,4,5 is true.
Volume of area[tex]=\frac{1}{3} \pi r^{2}h[/tex] [[tex]r=4 cm\\h=13 cm[/tex]]
[tex]=\frac{1}{3}\pi (4) ^{2} h\\=217.817 \ cm^{2} \\\simeq 218 \ cm^{2}[/tex]
Volume of cylinder[tex]=\pi r^{2} h[/tex]
[tex]=251.32 \ cm^{2} \\\simeq 251 \ cm^{2}[/tex]
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Zak is going to buy some bookcases and some lamps to sell in his shop. Each bookcase costs £16 Each lamp costs £12 Zak has a maximum of £360 to spend. He is going to buy x bookcases. He is going to buy y lamps. Show that 4 x + 3 y ≤ A where A is a constant to be found
Answer:
He can buy 8 bookcases and 6 lamps
Step-by-step explanation:
4(16) + 3(12)
64 + 36 = 100
360- 100 = 260
260-100=60
4*2=8 3*2=6
5. A 200 pound person weighs 33 pounds on the moon.
a. How much did the person's weight decrease?
Answer:
Step-by-step explanation:
The answer will be 167
Final answer:
The weight of a 200-pound person decreases by 167 pounds on the moon due to the weaker gravitational force. Weight varies with gravity, but mass remains constant.
Explanation:
If a 200-pound person weighs 33 pounds on the moon, the person's weight has decreased by 167 pounds. The weight decrease can be calculated by subtracting the weight on the moon from the original weight on Earth.
Weight decrease = Original weight on Earth - Weight on moon
Weight decrease = 200 pounds - 33 pounds
Weight decrease = 167 pounds
This calculation shows how weight varies with the acceleration due to gravity, which is weaker on the moon. Therefore, the gravitational force acting on a person on the moon is less, resulting in a lower weight, although the person's mass remains constant.
Simplify using exponential notation. (9a^3)^6
Mr. Lopez wrote the equation 32 g + 8 g minus 10 g = 150 on the board. Four students explained how to solve for g.
Alyssa: “I added 32 and 8 to get 40, subtracted 10 to get 30, and then subtracted 30 from 150 to find the value of g, which is 120.”
Rahul: “I added 32, 8, and 10 to get 50, and then I subtracted 150 to find the value of g, which is –100.”
Toni: “I subtracted 18 from 32 to get 14, which I then divided into 150 to find the value of g, which is 10 and StartFraction 5 Over 7 EndFraction.”
Wilhem: “I added 32 and 8 to get 40, subtracted 10 to get 30, and then divided both sides by 30 to find the value of g, which is 5.”
Which student’s work is correct?
Alyssa
Rahul
Toni
Wilhem
Answer:
Option D.
Step-by-step explanation:
The given equation is
[tex]32g+8g-10g=150[/tex]
It can be written as
[tex](32+8-10)g=150[/tex]
To solve this equation, add 32 and 8.
[tex](40-10)g=150[/tex]
Subtract 10 from 40.
[tex]30g=150[/tex]
Divide both sides by 30.
[tex]\dfrac{30g}{30}=\dfrac{150}{30}[/tex]
[tex]g=5[/tex]
The value of g is 5 and wilhem is correct.
Therefore, the correct option is D.
Answer:
The correct answer is d. wilhem
Marla thinks she can rewrite the expression as 4×(3+18) ÷6 and still get the same value is she correct? What I'd the value of Marla expression?
Answer:
No, if you add the parentheses things can change.
Step-by-step explanation:
4 times (3+18) divided by 6 is 14.
You have to divide first then multiply.
4 times 3+18 divided by 6 without the parentheses is 15.
Hope this helps!
Write an expression equivalent to 3(x-7)
Answer:
3x-21
Step-by-step explanation:
3*x+3*(-7)=3x-21
Figure WXYZ is transformed using the rule . Point W of the pre-image is at (1, 6). What are the coordinates of point W" on the final image? (–5, 8) (–3, –8) (5, –8) (3, 8)
The final image is:
[tex]\boxed{W''(3,8)}[/tex]
Explanation:Here we have two rules. The first one is a reflection across the y-axis and the second one is a translation. Let's apply these rules in two steps:
First rule:
Reflection across the y-axis:
[tex](x,y)\rightarrow (-x,y)[/tex]
By following this rule, you must multiply the x-coordinate of the point by -1. So here we reflect point W. Then:
[tex]W'(-1,6)[/tex]
Second rule:
[tex]T(x+4,y+2)[/tex]
This transformation shift each point 4 units to the right and 2 units up. Here we shift point W' that was previously transformed. Then:
[tex]W''(x,y)=W''(-1+4,6+2) \\ \\ \boxed{W''(x,y)=W''(3,8)}[/tex]
Applying the transformations, it is found that the coordinates of point W'' on the final image are (3, 8).
----------------------------------
The first transformation is a reflection across the y-axis, which has rule [tex](x,y) \rightarrow (-x,y)[/tex]Applying for W(1,6), we get W'(-1,6).The second transformation is a translation defined by [tex]T(x,y) \rightarrow T(x + 4, y + 2)[/tex].Applying for W'(-1,6), we get W''(3,8), as [tex]-1 + 4 = 3[/tex] and [tex]6 + 2 = 8[/tex].A similar problem is given at https://brainly.com/question/10547006
Pharrell wants to write equations in the form y = mx + b for the lines passing through point P that are parallel and perpendicular to line w. First he finds the slope of line w and line v to be 1/2 and the slope of line n to be -2. Point P is located at (-4, 2). Which step could he use to find the y-intercepts?
A. Multiply the slope, -2, by the x-coordinate, -4, and add the y-coordinate, 2, to the product.
B. Substitute the slope, -2, and the coordinates of point P (-4, 2) in y = mx + b and then solve for b. Repeat using the slope 1/2 for the second equation.
C. Multiply the slope, -2, by the y-coordinate, 2, and subtract the result from the x-coordinate, -4. Repeat for the slope 1/2 for the second equation.
D. Solve the proportion m/b = y/x for b, where m = -2, y = 2, and x = -4. Then solve the proportion m/b = y/x for b, where m = 1/2, y = 2, and x = -4.
Answer:
B. Substitute the slope, -2, and the coordinates of point P (-4, 2) in y = mx + b and then solve for b. Repeat using the slope 1/2 for the second equation.
Step-by-step explanation:
20 onions cost £3.00. 25 potatoes cost £6.25. Mr Dean needs 14 onions and 16 potatoes. Calculate the total cost.
Answer:
The total cost of 14 onions and 16 potatoes will be £6.10
Step-by-step explanation:
Let onion be n and potato by p
20n = £3.00
1n = £3.00/20
= £0.15
25p = £6.25
1p = £6.25/25
= £0.25
The cost of 1 onion is £0.15, and 1 potato is £0.25
Then the cost of 14 onion and 16 potatoes together will given as
14n + 16p
substituting the values of n and p, we will have
14*0.15 + 16*0.25
2.1 + 4
= £6.10
Ella deposited $2500 into a savings account. The relationship between the time, t, in years, since the account was first opened, and Ella's account balance, B(t), in dollars, is modeled by the following function.
B(t)=2500⋅e^0.025t
What will the balance of Ella's savings account be after 4 years?
Answer:
She will have $2762.927
Step-by-step explanation:
The modeled function is
B(t) = 2500*e^0.025t
Where t represent the time in years. In four years, her account would be
B(t) = 2500 * e^0.025(4)
B(t) = 2500 * e^0.1
B(t) = 2762.927
In four years, Ella would have $2762.927 in her account
Answer:
2762.927
Step-by-step explanation:
What is the volume of the cone below?
A. 112 units3
B. 5671 units 3
C. 16811 units 3
D. 3367 units3
Answer:
B
Step-by-step explanation:
3367unit 3 unit 3
The volume of the cone with the given radius and height in terms of constant pi is 112π units³.
Hence option A) 112π units³ is the correct answer.
What is a Cone?A cone is simply a 3-dimensional solid geometric shape having a circular base and a pointed edge, it has a single face and a vertex.
The volume of a cone is expressed as;
V = (1/3)πr²h
Where r is the radius, h is height and π is constant pie
Given the data in the image below;
Height of the cone h = 21Radius r = 4Volume of the cone V = ?We substitute our given values into the expression above.
V = (1/3)πr²h
V = (1/3) × π × (4 units)² × 21 units
V = (1/3) × π × 16 units² × 21 units
V = 112π units³
the volume of the cone with the given values of radius and height in terms of constant pi is 112π units³.
Hence option A) 112π units³ is the correct answer.
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A discount clothing store is selling a $99 sport jacket for $11 off the regular price. What is the discount rate?
Answer:
jacket is $99 at a discount of $11 off regular price
add the discount back on to get regular price which is $99+$11=$110
$110x.10=$11
therefore the jacket is sold at a 10% discount
Step-by-step explanation:
Given that the measure of ∠x is 60°, and the measure of ∠y is 110°, find the measure of ∠z.
Answer:
∠z = 10°Step-by-step explanation:
A triangle is always 180 degrees.
If ∠x is 60°
and ∠y is 110°,
110 + 60 = 170
∠z = 10 degrees
Answer:
50
Step-by-step explanation:
Scott paid 19.99 for a 7.98-kg bag of dog food. A few weeks later, he paid 20.38 for an 8.39-kg bag at a different store. What is the unit price for each bag
Answer:
Store 1: 19.99/7.98 = 2.51
Store 2: 20.38/8.39 = 2.43
Step-by-step explanation:
unit price is per 1 kg...so you will divide
Store 1: 19.99/7.98 = 2.51
Store 2: 20.38/8.39 = 2.43
The unit price of the first bag of dog food is $2.50 per kg, and the unit price of the second bag is $2.43 per kg.
Explanation:
To determine the unit price for each bag of dog food, we need to divide the total cost of the bag by the weight of the bag. The unit price will tell us the cost per kilogram of dog food. Let's calculate the unit price for each bag.
For the first bag:
Cost = $19.99
Weight = 7.98 kg
Unit price = Cost ÷ Weight
Unit price = $19.99 ÷ 7.98 kg
For the second bag:
Cost = $20.38
Weight = 8.39 kg
Unit price = Cost ÷ Weight
Unit price = $20.38 ÷ 8.39 kg
Let's perform the calculations:
First bag's unit price: $19.99 ÷ 7.98 kg = $2.50 per kg (rounded to two decimal places)Second bag's unit price: $20.38 ÷ 8.39 kg = $2.43 per kg (rounded to two decimal places)So the unit prices are $2.50 per kg for the first bag and $2.43 per kg for the second bag.
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The lines below are perpendicular the slope of the red line is -2 what is the slope of the green line
Answer:
The slope will be 1/2.
Step-by-step explanation:
Sine the lines are perpendicular, the slope of the green line will be the negative reciprocal of the slope of the red line. To find the negative reciprocal of -2, first change the sign. Since the slope is negative, make it positive 2. Then to find it's reciprocal, divide 1 by your answer. 1 divided by 2 is one half, s that is your answer.