Answer:
13x - 2
Step-by-step explanation:
Use the distributive property to eliminate the parentheses. 1(7x - 10) -1(-6x - 8) so using the distributive property 7x - 10 + 6x + 8. Next, combine the like terms. 13x - 2
estimate the area of the circle. use 3.14 3.14 or 22 7 227 for π π.
Answer:
615.44
Step-by-step explanation:
If the diameter is 28, that means the radius is 14.
The formula for the area of a circle is pi x radius to the power of 2. So, 14 to the power of 2 (or 14 x 14) equals 196. 196 x 3.14 (pi) = 615.44
The estimated area of the circle is about 615.44 cm² or 616 cm², depending on which value you use for π.
How to find the area of a circle?Suppose the circle has radius of 'r' units, then, its area is given as:
[tex]A = \pi \times r^2[/tex] sq. units
Since radius of a circle is half of its diameter, so if diameter is of 'd' length, then r= d/2, thus, area can be rewritten as:
[tex]\pi \times (\dfrac{d}{2})^2[/tex] sq. units
We are given that;
Diameter=28cm
Now,
In this case, the diameter of the circle is 28 cm, so the radius is half of that:
r = 28 / 2 = 14 cm
Plugging this value into the formula, we get:
A = π × 14²
Now we can use either 3.14 or 22/7 for π. Let’s use both and compare:
A ≈ 3.14 × 14² ≈ 3.14 × 196 ≈ 615.44 cm²
Or
A ≈ (22/7) × 14² ≈ (22/7) × 196 ≈ (4312/7) cm² ≈ 616 cm²
Therefore, by the area of circle the answer will be 615.44 cm² or 616 cm², depending on which value you use for π.
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a formula for 6 gallons of light green paint uses 3/8 gallon of white paint. Liam has 9/16 gallon does Liam have enough white paint to make 8 gallons of light green paint?
Given:
6 gallons of light green paint uses [tex]\dfrac{3}{8}[/tex] gallon of white paint.
Liam has [tex]\dfrac{9}{16}[/tex] gallon of white paint.
To find:
Whether Liam have enough white paint to make 8 gallons of light green paint.
Solution:
Here, 6 gallons of light green uses [tex]\dfrac{3}{8}[/tex] gallon of white paint.
So, the white paint for 1 gallon of light green [tex]=\dfrac{\dfrac{3}{8}}{6}[/tex]
[tex]=dfrac{3}{8\times 6}[/tex]
[tex]=\dfrac{3}{48}[/tex]
[tex]=\dfrac{1}{16}[/tex]
It means, 1 gallons of light green uses [tex]\dfrac{1}{16}[/tex] gallon of white paint.
White paint for 8 gallon of light green [tex]=8\times \dfrac{1}{16}[/tex]
[tex]=\dfrac{8}{16}[/tex]
She has [tex]\dfrac{9}{16}[/tex] gallon of white paint, which is greater than [tex]=\dfrac{8}{16}[/tex] gallons.
Therefore, Liam have enough white paint to make 8 gallons of light green paint.
If Liam has 9/16 gallon, he has enough white paint to make 8 gallons of light green paint
Given that 6 gallons of light green paint use 3/8 gallon of white paint, this can be expressed as:
3/8 gallons of white paint = 6 gallons of light green
We are to determine if 9/16 gallons will be enough to make 8 gallons of light green paint. This can be expressed as
9/16 gallons of white paint = x
Divide both expressions
3/8 * 16/9 = 6/x
2/3 = 6/x
Cross multiply
2x = 3 * 6
2x = 18
x = 18/2
x = 9
This shows that if Liam has 9/16 gallon, he has enough white paint to make 8 gallons of light green paint
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Julisa had a coupon for 15% discount off the regular price of a pair of shoes at the stores. The regular price of the shoes she bought was $38.95. What was the discounted price of the shoes not including tax?
Answer:
33.10
Step-by-step explanation:
a cyclist bike a certain distance in 45 minutes. How long will it take a pedestrian to travel the same distance if he travels 2 2/3 times slower than the cyclist in minutes to hours.
Need by 3/14/22
Multiply time by the difference:
45 x 2 2/3 = 120 minutes
1 hour = 60 minutes
120/60 = 2 hours
Answer: 120 minutes which equals 2 hours
Kelley has to work 45 hours at her job to earn enough money to buy a phone. She works 3 hours each day. If she has worked x days, write a linear equation to represent how many more hours Kelley must work to afford the phone.
The linear equation that represents how many more hours Kelley must work to afford the phone is 3x - 45 = 0
Functions and valuesFunctions are expressions represented in terms of a variable.
From the question, we have the following
Total number of hours = 45
If she works 3 hours per day and has worked x days, the total number of hours she needs to work is 3x
Equating to the total hours wwill give:
3x = 45
3x - 45 = 0
Hence the linear equation that represents how many more hours Kelley must work to afford the phone is 3x - 45 = 0
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Y = 2x/a + 2b solve for b
Answer:
b = Y/2 - x/a
Step-by-step explanation:
If x=y then 5x=5y what property
If x = y, then 5x = 5y --> Multiplication Property
3( x - 4) = -2( 4 - x)
Step-by-step explanation:
first multyply x-4 by 3
second: same as first no:
put the algebric expression in same side
then do 3x-2x = -8 plus 12
then your answer is ready
How many planes appear in this figure?
Answer:
We can't see the planes
Step-by-step explanation:
Answer:
Put the question up bruh
Step-by-step explanation:
Plz HELP
Item 9
A conjecture and the paragraph proof used to prove the conjecture are shown.
Given: ABCD is a parallelogram. Segment DC bisects angle B D E. Prove: angle 1 is congruent to angle 3. Parallelogram A B C D. Two rays D B and D E share endpoints at vertex D. Ray D B extends diagonally up to the right from D C at vertex D forming interior angles A B D and B D C. Angle A B D is labeled 1 and angle B D C is labeled 2. Ray D E extends diagonally down to the right from segment D C at vertex D forming an exterior angle C D E. Angle C D E is labeled 3.
Drag an expression or phrase to each box to complete the proof.
It is given that ABCD is a parallelogram, so AB¯¯¯¯¯∥DC¯¯¯¯¯ by the definition of parallelogram. So, ∠1≅ ∠2 by the alternate interior angles theorem. It is also given that DC¯¯¯¯¯ bisects ∠BDE, so ∠2≅ Response area by the Response area. Therefore, Response area ≅∠3 by the Response area.
option choices
Transitive property of congruence
definition of angle bisector
∠1
∠2
∠3
Answer:
goes in order like...
∠3
definiton of angle bisector
∠1
transitive property of congruence
Step-by-step explanation:
i took the test and got it right
Solve each equation by using the square root property. 4X^2+9+=33
Answer:
Step-by-step explanation:
4X^2=33-9
4X^2=24
X^2=24:4
X^2=6
X=\sqrt{6}
Good luck!
A cone has surface area 360π in^2 and volume 800π in^3. the cone is dilated, and the surface area of the dilated cone is 2,250π in^2. what is the dilated cone's volume? asap! please my mom is trying to hurt me im locked in my closet! my dads home!!!!!!!!
they're trying to make me eat something called mellotonin while my mom is sniffing sugar in the livingroom!!!!
The dilated cone's with surface area of 2,250π in^2 has a volume of about 12500π in³
What is dilation?
Dilation is the increase or decrease in the size of a figure.
The cone has surface area 360π in² and volume 800π in^3. the cone is dilated, and the surface area of the dilated cone is 2,250π in^2.
Hence:
Scale factor² = dilated cone area / cone surface area
scale factor² = 2250π / 360π
Scale factor = 2.5
Volume of dilated cone = 2.5³ × 800π = 12500π in³
The dilated cone's with surface area of 2,250π in^2 has a volume of about 12500π in³
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Which exponential function is equivalent to the geometric sequence an
= 7.5 (3)(n-1);
Answer:
f(x)=3^x
Step-by-step explanation:
assuming the n-1 is the exponent,
f(x)=3^x
the -1 is removed due to a graph starting at 0
Hich would be a good statistical question Alexandra could have used to create the tally chart? How many people read three books in the last month? How many people read one or two books in the last month? Did you read in the last month? How many books did you read in the last month?
Incomplete questions. Here's the complete question:
Alexandra made a tally chart shown below. A 2-column table with 5 rows. Column 1 is labeled Books Read in the Last Month with entries 1, 2, 3, 4, 5. Column 2 is labeled Tally with entries 2, 5, 3, 1, 2.
Which would be a good statistical question based on the tally chart?
How many people read three books in the last month?How many people read one or two books in the last month?Did you read in the last month?How many books did you read in the last month?Answer:
How many books did you read in the last month?
Step-by-step explanation:
A tally chart is a numbering system used to quickly record data. It usually involves filling a chart with vertical dashes that represents the number of times an action or information is observed.
Therefore, by asking, "How many books did you read in the last month?", Alexandra would be able to get the answer by means of a tally chart which would show the number of times that action occurred.
there were three apples , 1 mixed fruit, 2 grape, and 4 tropical fruit juice boxes in the cooler at the picnic. What is the probability that, when Jill reaches into the cooler to grab two juice boxes without replacing them, she grabs two that are grape?
Answer:
1/45 ≈ 0.022
Step-by-step explanation:
There are originally 10 juice boxes in the cooler, 2 of which are grape.
The probability that the first juice box is grape is 2/10.
The probability that the second juice box is grape is 1/9.
The probability of both is (2/10) (1/9) = 1/45 ≈ 0.022.
Someone help pls. It would mean a lot to me
Answer:
Step-by-step explanation:
what is the answer for this problem?
2(10−4)2+8
The answer to your question is 32
2 (10-4)2+8
2*(6)*2+8
2*6*2=24
24+8=32
Rewrite the following expression as the product of two binomials. Do not simplify the product.
(x-5)(4x+9) + (2x - 4)(x-5)
Answer:
x-5
Step-by-step explanation:
giving brainlist for correct answer. :))
Answer:
3300 m²
Step-by-step explanation:
Area of a triangle = 1/2 x base x height
⇒ area of one triangle = 1/2 x 30 x 40 = 600 m²
Area of a square = side length x side length
⇒ area of the square = 30 x 30 = 900 m²
Surface area of square-base pyramid = area of 4 triangles + area of square
⇒ SA = 4 × 600 + 900 = 2400 + 900 = 3300 m²
m = -(4+ m) +2
what is m?
Answer:
m = -1
Step-by-step explanation:
[tex]m = - (4 + m)[/tex]
Use - to open the bracket
[tex]m = - 4 - m + 2[/tex]
Collect like terms and simplify
[tex]m + m = - 4 + 2 \\ 2m = - 2[/tex]
Divide both sides of the equation by 2
[tex] \frac{2m}{2} = \frac{ - 2}{2} [/tex]
Simplify
[tex]m = - 1[/tex]
What is the slope of the line that passes through the points (1, -2) and (3, -5)? A. B. C. D.
Hey there!
Use the slope formula:
[tex]\bold{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]
[tex]\bold{\displaystyle\frac{-5-(-2)}{3-1}}[/tex]
-5-(-2) is the same as -5+2:
[tex]\bold{\displaystyle\frac{-5+2}{2} =\frac{-3}{2} }[/tex]
Hence, the slope of the given line is
[tex]\boxed{\boxed{\bold{-\frac{3}{2} }}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
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#NeverGiveUp
[tex]\tt{An~Amiable~Helper}[/tex]
The slope of the line that passes through the points (1, -2) and (3, -5) is -3/2.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
We need to find slope of line passing through the points (1, -2) and (3, -5)
m= -5-(-2)/3-1
=-5+2/2
=-3/2
Hence, the slope of the line that passes through the points (1, -2) and (3, -5) is -3/2.
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Simplify these expressions
a) х х х х х х у х у
b) 2 x x x x x 3 x y x у х у
Please help me!
Answer:
a) x³y²
b) 6x²y³
Step-by-step explanation:
For a), x × x × x can be simplified to x³ (there are three x's multiplying each other) and y × y can be simplified to y² (there are two y's multiplying each other)
For b) 2 × 3 can be simplified to 6, x × x can be simplified to x² and y × y × y can be simplified to y³
Hope this helps!
Answer ASAP Find tanθ, where θ is the angle shown. Give an exact value, not a decimal approximation.
This is the same as writing the fraction [tex]\frac{24}{7}[/tex]
=======================================================
Explanation:
Use the pythagorean theorem to find the missing side.
[tex]a^2 + b^2 = c^2\\\\a^2 + 24^2 = 25^2\\\\a^2 + 576 = 625\\\\a^2 = 625 - 576\\\\a^2 = 49\\\\a = \sqrt{49}\\\\a = 7\\\\[/tex]
The horizontal side of the right triangle is 7 units long.
--------------------
The [tex]\tan(\theta)[/tex] is the ratio of the opposite over adjacent.
[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(\theta) = \frac{\text{vertical}}{\text{horizontal}}\\\\\tan(\theta) = \frac{24}{7}\\\\[/tex]
The value for the tan [tex]\theta[/tex] is 24/7.
What is Trigonometry?The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
H= 25
P = 24
Now, Base, B= √H² - P²
B= √25² - 24²
B= √625- 576
B= 7
Now, tan [tex]\theta[/tex] = P/ B
= 24/ 7
Hence, the value for the tan [tex]\theta[/tex] is 24/7.
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5 × -92 =
Just a quick response on how to solve this, thanks a ton!
Answer:
-460
Step-by-step explanation:
I multiply by splitting the numbers into digits. So for the 90, in my head I did 5 × 90, which is 450. Then I did 2 × 5, this is 10. Now I added those up to make 460. Considering the 92 is negative, the answer will also be negative.
Helps me solve this problem please middle one
Answer:
D
Step-by-step explanation:
Hope u got it.......
help please.! and thank you
Answer:
common difference is 4
Step-by-step explanation:
12-4=8
8-4=4
HELP ME PLEASE!!!!!
this is hard for me i need help
Answer:
-1 1/2, 3
Step-by-step explanation:
for each of the following, give the equation of the line shown
i didn't know the answer sorry
Heather is 5 feet 7 inches tall. There are
approximately 2.5 cm in one inch. What is
Heather's height in centimeters?
Roger had 2kg of rice, he sold 15%.How many grams of rice did he sell
FULL EXPLANATION AND WORKING
Answer:
300 grams
Step-by-step explanation:
2kg = 2000 grams
15% = 15/100
15/100 × 2000 = 300 grams
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