Answer:x=5
Step-by-step explanation: x^2−2x−15=0
(x−5)=0 x−5=0 x=5
A 5-meter piece of cord costs $6.25. What is the unit price?
Answer:
$ 1.25/m
Step-by-step explanation:
5 m ............. $ 6.25
1 m .............. $ x
x = 1×6.25/5 = 6.25 : 5 = $ 1.25/m
Please Help
Elian won a sweepstakes and will receive money every week for 52 weeks. The first week, he will receive $500. Every week after that, he will receive $50 more than he received the previous week.
The amounts of money Elian receives each week form an arithmetic sequence. What is the explicit formula for the sequence?
The answer needs to be in simplified form.
Here is the explicit formula for the arithmetic sequence: an = 500 + 50(n - 1)
What does the explicit formula mean?where:
an is the amount of money Elian receives in week n
500 is the first payment
50 is the common difference
n is the week number (1-indexed)
For example, in week 2, Elian will receive $550 because 500+50(2−1)=550.
The formula is in simplified form because the common difference is a simple integer
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Solve: 2x - 10 / 4 = 3x
Answer:
x = -2.5 or -5/2
Step-by-step explanation:
1. Solve
2x = 3x + 10/4
-x = 10/4
x = -10/4
x = -2.5
2. Check Answer
2( -2.5) = 3( -2.5) + 10/4
- 5 = - 7.5 + 10/4
-5 = -5
Answer:
x = -10/4
Step-by-step explanation:
[tex]2x - \frac{10}{4} = 3x \\ 2x - 3x = \frac{10}{4} \\ - x = \frac{10}{4} \\ x = - \frac{10}{4} [/tex]
f(x)= 3x+1 and g(x)= x^2-6 find (f-g)(x)
Answer: -x^2+3x+7
Step-by-step explanation:
Name the quadrant in which the point (–4, –4) lies. III IV II I
WILL MARK U AS BRAINLIEST HELP PLEASE
Answer:
Cholula
Step-by-step explanation:
first find the vlumes of the different pyramids:
FORMULA:
volume = (1/3) * basearea
Cholula- 157,583,664
Cheops- 91,204,000
Answer:
The Cholula Pyramid has a greater volume.
Step-by-step explanation:
volume = (1/3) * area of base * height
In both cases, the base is a square, so the area of the base is (side)^2
volume = (1/3) * (side)^2 * height
Cholula Pyramid:
volume = (1/3) * (side)^2 * height
volume = (1/3) * (1476 ft)^2 * 217 ft
volume = 157,583,664 ft^3
Cheops Pyramid:
volume = (1/3) * (side)^2 * height
volume = (1/3) * (755 ft)^2 * 480 ft
volume = 91,204,000 ft^3
The Cholula Pyramid has a greater volume.
50 points help Which number is a common factor of 24 and 136?
Answer:
8
Step-by-step explanation:
Answer:
1, 2, 4, 8. 8 is the greatest common factor.
Step-by-step explanation:
Find factors of both.
24: 1, 2, 3, 4, 6, 8, 12, 24
136: 1, 2, 4, 8, 17, 34, 68, 136
Find common numbers.
24: 1, 2, 3, 4, 6, 8, 12, 24
136: 1, 2, 4, 8, 17, 34, 68, 136
Factors are 1, 2, 4, and 8.
Solve 2y+1−x=7x for y
Answer:
Y=4X-1/2
Step-by-step explanation:
You must isolate the variable by dividing each side by factors that dont contain variables.
Answer:
y = 4x - 1/2
Step-by-step explanation:
2y + 1 − x = 7x
2y = 7x + x - 1
2y = 8x - 1
y = (8x - 1)/2
y = 4x - 1/2
What is the radius of a great circle with an area of 40 in??
Round to the nearest tenth.
Answer:
3.6
Step-by-step explanation:
The graph shows the path of light from a wall reflecting off mirrored ceiling tiles, where x is the distance from the wall in feet and y is height in feet along the wall where the light source hangs.
Which statement describes the room based on the graph?
The ceiling is 10 feet high.
The ceiling is 20 feet high.
The light source is 10 feet off the ground.
The light source is 20 feet off the ground.
Answer: The ceiling is 10 feet high.
Step-by-step explanation: the light source is 7 feet, and the ceiling is 10.
A is the correct answer.
help me please
NOW if u can
Answer:
1. A polygon is a plane figure with at least three sides and angles. It mus be closed and have straight lines.
Polygon: Square
Not a polygon: Circle
2. same, same
Step-by-step explanation:
answer:
polygona plane figure with at least three straight sides and angles, and typically five or more.
A circle is not a polygonA hexagon is a polygon2. congruent figures have same size and the same shape
hope it helps
Algebra method 4x - 6 = 30
Answer: The answer is x=9
(PLEASE VOTE ME BRAINLIEST. I NEED TO LEVEL UP LOL)
A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 85% pure antifreeze. The company wants to obtain 255 gallons of a mixture that contains 60% pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?
Answer:
75 gallons of water
180 gallons of premium anti-freeze
Step-by-step explanation:
X + Y = 255
X = 255 - Y
0.85Y = 0.6(255)
0.85Y = 153
Y = 180
X = 255 - 180
X = 75
If the sphere has a volume of approximately 904.78 cm3, what is the approximate area of the largest cross-section of the sphere shown? A) 28.27 cm2 B) 113.1 cm2 C) 226.2 cm2 D) 452.39 cm
Final answer:
Given a sphere with a volume of 904.78 cm3, we find the radius to be approximately 6.13 cm, and the area of the largest cross-section, a circle, turns out to be approximately 118.08 cm2.
Explanation:
If the sphere has a volume of approximately 904.78 cm3, we can start by calculating the radius of the sphere using the volume formula for a sphere:
V = (4/3)πr3
Solving for r:
r = &Sqrt[3]{(3V)/(4π)} = &Sqrt[3]{(3×904.78 cm3)/(4π)} ≈ 6.13 cm
The largest cross-section of the sphere will be a circle with the diameter equal to the diameter of the sphere, hence the area A of this circle will be:
A = πr2 = π×(6.13 cm)2 ≈ 118.08 cm2
Therefore, the approximate area of the largest cross-section of the sphere is 118.08 cm2, which is not listed among the provided options, implying a possible typo or error in the options. Option closest to the calculated area is B) 113.1 cm2.
What is the value of log27 9
△ABCtriangle, A, B, C and \triangle ADE△ADEtriangle, A, D, E both have a right angle and share \angle BAC∠BACangle, B, A, C.
Find the slant height l of the cone.
3. S = 1127 ft?
8 ft
Answer:
l = 14 ft
Step-by-step explanation:
S = 112π ft²
πrl = 112π
π*8*l = 112π
[tex]l=\frac{112*\pi}{\pi*8}\\\\l=\frac{112}{8}\\\\[/tex]
l = 14 ft
a basketball player attempted 15 baskets in the game he makes 9 of the attempted baskets which ratio describes the number of baskets the player made to the number of baskets to play attempted thanks so much!!
Answer:
3:5
Step-by-step explanation:
We are given that
Basket player attempted basket=15
He makes number of attempted basket=9
We have to find the ratio which describes the number of baskets the player made to the number of baskets to play attempted.
[tex]\frac{number\;of\;baskets\;made}{number\;of\;basket\; to play attempted}=\frac{9}{15}[/tex]
[tex]\frac{number\;of\;baskets\;made}{number\;of\;basket\; to play attempted}=\frac{3}{5}[/tex]
Hence, the ration which describes the number of baskets the player made to the number of baskets to play attempted=3:5
Answer:
3:5
Step-by-step explanation:
After being marked up 40%, the sale price of a tennis racket is $87.50 What was the original price of the tennis racket?
Answer:
$62.50
Step-by-step explanation:
The original price is x
It is marked up 40 percent
x+.40x = new price
1.40x = new price
The new price is 87.50
1.40x = 87.50
Divide each side by 1.40
1.40x/1.40 = 87.50/1.40
x =62.50
The price before mark up is 62.50
Answer:
$62.50
Step-by-step explanation:
After mark up, price is
100 + 40 = 140% of cost
140/100 × Cost = 87.50
Cost = 87.50 × 100/140
Cost = $62.50
3) Fran designed a flag that measured 9 inches in length and 5 inches in width. Find the
area of the flag.
4) Ellen renovates the foyer of an old farmhouse. The foyer is 15 feet long and 8 feet
wide. Calculate the area of the foyer.
Answer:
3) 9x5=45
4) 15x8=120
Step-by-step explanation:
Answer:
Step-by-step explanation:
3) the area for formula is length * width
so your equation is going to be 9×5because it says your length is 9 and the width is 5 your final answer is 404)
area is length × widthequation 15×8it says the length is 15 and the width is 8your final answer is 120hope this helps :D
After a rotation of 90° about the origin, the coordinates of the vertices of the image of a triangle are A'(6,3), B'(-2, 1)
and C'(1,7). What are the coordinates of the vertices of the pre-image?
С.
Answer:
A(3, -6)B(1, 2)C(7, -1)Step-by-step explanation:
Rotation by -90° about the origin is the transformation ...
(x, y) ⇒ (y, -x)
So, your pre-image points are ...
A'(6, 3) ⇒ A(3, -6)
B'(-2, 1) ⇒ B(1, 2)
C'(1, 7) ⇒ C(7, -1)
Emmett bought 10 packages of cat food and 3 packages of dog food. Each package of cat food contained 10 cans, and each package of dog food contained 2 cans. How many more cans of cat food than dog food did Emmett buy?
Answer: Emmet bought 94 more cans of cat food than dog food.
Step-by-step explanation:
Answer:
Step-by-step explanation:
10 × 10 = 100 Cans of cat food
3 x 2 = 6 Cans of Dog food
Total cat food - Total dog food
100 - 6
94 Cans of cat food
21 years ago, I was half the age I am now. How old am I?
You're 42. 42-21=21 and 21x2=42.
The current age of your is 42 years old.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5.
In other words, an equation is a set of variables that are constrained through a situation or case.
To form an equation we must know the constraint of that condition,
For example x < 5 is a constraint.
Another example of a constraint is;
7x + 3y = 8 like that
Let say
Your age is = x
21 year ago your age were = x - 21
Now it was half the age x so,
x - 21 = (1/2)x
2x - 42 = x
x = 42
So your current age will be 42 years old.
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Point (5, -2) is reflected across the line y = x. Where is the new location?
Answer:
(- 2, 5 )
Step-by-step explanation:
Under a reflection in the line y = x
a point (x, y ) → (y, x ), thus
(5, - 2 ) → (- 2, 5 )
Answer:
That would be -5, -2
Step-by-step explanation:
HELPP!!!!
Estimate a 15% tip on a dinner bill of $38.43 by first rounding the bill amount to the nearest ten dollars.
Answer:
I think the answer is 34
Answer:
its $6
Step-by-step explanation:
the nearest tenth it 40, and the you ask google what 15% of 40 is.
Evaluate the expression and put your answer in fraction form
Answer options:
9/7
13/25
59/4
140/3
Answer:
140/3
Step-by-step explanation:
(28/3)*5
140/3
Which of these defines the longest arc?
Answer: C
Step-by-step explanation:
The arc length, s, equals the radius, r, times the central angle, θ, given in radians. (In shorthand, s=r⋅θ.) If r=5 cm and θ=6 radians, the arc length is 5 cm⋅6=30 cm. If r=7 cm and θ=5 radians, the arc length is 7 cm⋅5=35 cm. If r=9 cm and θ=4 radians, the arc length is 9 cm⋅4=36 cm. An angle of 180∘ is π radians, or about 3.14. If r=10 cm, the arc length is 10 cm⋅3.14=31.4 cm. Of these choices, the longest arc is 36 cm.
The Kendall family was preparing to go hiking with the Smith family. In preparation,
the Kendall's bought 8 Cliff Bars and 4 appleslfor $12.40. The Smith family spent
$24.30 on 15 Cliff Bars and 9 apples. What is the difference in price between a cliff
bar and an apple?
Answer:$9.3 is the bars and the rest is the apples
Step-by-step explanation:because you take away from the bars than what is left is the apples.
The difference in price between a cliff bar and an apple is $0.50.
To determine the difference in price between a cliff bar and an apple, we must create two equations based on the information provided:
8C + 4A = 12.40 (equation 1 for the Kendall family)
15C + 9A = 24.30 (equation 2 for the Smith family)
We can solve these equations using substitution or elimination. Let's use the elimination method:
Multiply equation 1 by 2 to get 16C + 8A = 24.80 (equation 3).
Subtract equation 3 from equation 2: (15C + 9A) - (16C + 8A) = 24.30 - 24.80 which gives us -C + A = -0.50.
From this simplified equation, we gather that the price difference between a cliff bar and an apple is $0.50.
Therefore, the difference in price between a cliff bar and an apple is $0.50.
Please help me on this question ♀️
Choices:
(A) 5.6
(B) 8.75
(C) 11
(D) 15
Answer:
TS = 11.
Step-by-step explanation:
Consider triangles UTO and UCS.
m < C = m < UTO (Given)
< U is common to both triangles.
Therefore triangles UTO and OCS are similar.
So corresponding sides are in the same ratio and:
5 / (TS + 4) = 4/ (7+5)
5 * (7 + 5) = 4(TS + 4)
TS + 4 = 5*12 / 4
TS + 4 = 15
TS = 11.
Gerald is lightheaded and tired from a lack of oxygen in his tissues.
What is most likely the reason he feels this way?
His plasma level is high.
O
His white blood cell count is high.
His platelet count is low.
His red blood cell count is low.
The most likely reason for Gerald feeling this way is because his red blood cell count is low.
Based on the information given, it was stated that Gerald is lightheaded and tired from a lack of oxygen in his tissues.
It should be noted that the reason why he'll be lightheaded and tired from a lack of oxygen in his tissues is that his red blood cell count is low. This will make him dizzy sometimes too.
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