Answer:
Step-by-step explanation:
The sum of the angle measures of a triangle is 180°. Find the value of x . Then find the angle measures of the triangle.
find the value of x
x + 2x + x + 8 = 180
4x = 180 - 8
4x = 172
x = 172 : 4
x = 43
find angles
2x = 43 * 2
2x = 86°
-------
x = 43°
--------
x + 8 = 43 + 8
x = 51°
-----------------------
check
86 + 43 + 51 = 180°
the answer is good
Find the value of x, 6,4, 3x, 4x+1
Answer:
If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.
6(3x) = 4(4x + 1)
18x = 16x + 4
2x = 4
x = 2
There are 31 children in the class.
Tia says, "40% of the class are boys."
Is this possible? Why? Why not?
Answer:
This is not possible, 40% of 31 gives an answer of 12.4,there is no such thing as 12.4 boys hope this helps
Answer:
Step-by-step explanation:
\(40\% \text{ of } 31=\frac{40}{100} \times 31 =\frac{124}{10} =12\frac{2}{5}\)
This is not possible because we cannot have \(\frac{2}{5}\) of a person.
The 10 passengers on a small airplane have paid a total of $1,580 for the flight.
If an economy ticket cost $135 and a first-class ticket costs $250 , how many economy tickets were bought?
Answer:
8 people bought economy and 2 bought first class
Step-by-step explanation:
there are 10 person and total is 1580 so 250+ 9(135)=1460 which is wrong so we gonna try adding 2(250) and 8(135) which got us 1580
Name
9. A gym class had 42 students and
7 volleyballs. What was the ratio of
volleyballs to students?
A 1 to 6
B 6 to 1
C 1 to 7
7 to 1
Prove whether the following inferences are valid using the long or short truth table method. If they are invalid, give the counterexample.
A > -B |= B > -A
Answer:
6
Step-by-step explanation:
Use benchmarks to estimate the sum 6/10 + 4/9 can you guys help with this?
The estimate of the sum of the points is 47/45
How to determine the sum of the pointsFrom the question, we have the following parameters that can be used in our computation:
Points = 6/10 and 4/9
Using the given number line (see attachment), we have the sum expression to be
Sum = 6/10 + 4/9
Evaluate the sum
So, we have the following representation
Sum = 94/90
Simplify
Sum = 47/45
Hence, the sum of the points is 47/45
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What is the equation for this word problem?:
Salma has 18 cars available to rent.
Last C be the number of cars she would have left after renting R of them.
Help!!!
Answer:
equation: C = 15 - R
C = 15 - 7
C = 8
Step-by-step explanation:
Okay first of all stan the karl pfp
80% of what number is 280
Using the percentages formula, we know that 80% of 350 is 280.
What is the percentage?A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" is also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.By dividing the value by the entire value and multiplying the result by 100, one may determine the percentage. The percentage calculation formula is (value/total value)100%.So, let the number be x:
Then, 80% of x is 280:Now, calculate as follows:
x/100 × 80 = 28080x = 280 × 10080x = 28000x = 28000/80x = 2800/8x = 350Therefore, using the percentages formula, we know that 80% of 350 is 280.
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Can someone help please
Answer:
0.3 miles per hour
Step-by-step explanation:
Speed is distance divided by time so your equation is 45 divided by 150. 45 divided by 60 plus 60 plus 30 = 150 45 divided by 150= 0.3
The wheel on a scooter completes 124 revolutions and travels 22.4 meters. What is the diameter of the wheel in mm? Use 3.14 for pi and round to the nearest whole millimeter.
If wheel on a scooter completes 124 revolutions and travels 22.4 meters then diameter of the wheel is 57 mm
Each revolution of the wheel covers a distance equal to the circumference of the wheel.
The diameter of the wheel "d".
The distance covered in 124 revolutions is:
distance = 124 x circumference
= 124 x pi x d
= 124 x 3.14 x d
We know that this distance is equal to 22.4 meters, so we can set up an equation:
124 x 3.14 x d = 22.4
Simplifying and solving for d:
d = 22.4 / (124 x 3.14)
d = 0.057 meters
As we know that 1 meter is equal to thousand millimeters so multiply by 1000 to get in millimeters
d = 57 millimeters
Therefore, the diameter of the wheel is approximately 57 mm.
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if f(x)= 3x + 4, then what is f(-2)
Answer:
f ( - 2 ) = - 2
Step-by-step explanation:
Step 1:
f ( x ) = 3x + 4 Equation
Step 2:
f ( - 2 ) = 3 ( - 2 ) + 4 Input x value
Step 3:
f ( - 2 ) = - 6 + 4 Combine Like Terms
Answer:
f ( - 2 ) = - 2 Combine Like Terms
Hope This Helps :)
A small plant is 212 inches tall. How tall will it be in 3 weeks if it grows 34 inch each week? Which method will NOT give the correct number of inches?
The method that will not give the correct number of inches is that the total length of the plant in a week is 19/4 inches.
How to calculate the value?Length of the small plant = 2 1/2 = 5/2 inches
Rate of growth = 3/4 inches
Increase in length in 3 weeks will be:
= 3 × 3/4 = 4
Total length = 5/2 + 9/4
= 19/4 inches.
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Factor 60y - 90 - 20x to identify the equivalent expressions (choose two)
A: 5 (14y - 16 - 4x)
B: 2 (30 - 45 - 10)
C: 5 (12y - 18 - 4x)
D: 10 (6y - 9 - 2x)
Answer:
D. 10 (6y-9-2x)
Step-by-step explanation:
10×6y 10× -9 10×-2x
60y -90 -20x
Help please!! I’ll give brainliest if you show work as well. Thank you!!!
Answer:
TWO CRACKERS
Step-by-step explanation:
I'm assuming they want to find x. Here we see that these two are similar triangles, so the sides are reflective. 5x/5 should be equal to 4/x, so 5x/5 = 4/x. If we use cross multiplying we get 5x^2 = 20. divide both sides by 5 and we get x^2 = 4 or x = 2.
Hope this helped
please explain omega ....??please gyus please answer to it ....?
\(\huge\bold\green{Answer:-}\)
1. the twenty-fourth and final letter of the Greek alphabet (Ω, ω): in English transliteration, as in the etymologies of this dictionary, it is shown as ō
2. the last (of any series); end
When it comes to fat, there's one type you don't want to cut back on: omega-3 fatty acids. Two crucial ones -- EPA and DHA -- are primarily found in certain fish. ALA (alpha-linolenic acid), another omega-3 fatty acid, is found in plant sources such as nuts and seeds. Not only does your body need these fatty acids to function, but also they deliver some big health benefits.
I HOPE IT HELPS ♥️In ΔTUV, u = 3.4 inches, m∠U=144° and m∠V=35°. Find the length of v, to the nearest 10th of an inch.
The length of v to the nearest 10th of an inch is 2.0 inches.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
We can use the Law of Sines,
Which states that for any triangle ABC:
a/sin(A) = b/sin(B) = c/sin(C)
where a, b, and c are the lengths of the sides of the triangle opposite the angles A, B, and C.
Now,
a = UV = u = 3.4 inches
A = ∠TUV
= 180° - m∠U - m∠V
= 180° - 144° - 35°
= 1°
B = ∠UTV
= m∠U
= 144°
C = ∠TVU
= m∠V
= 35°
Using the Law of Sines,
v/sin(C) = u/sin(B)
Substituting in the values.
v/sin(35°) = 3.4/sin(144°)
Solving for v.
v = (3.4 × sin(35°)) / sin(144°)
v = 1.97 inches
Therefore,
The length of v to the nearest 10th of an inch is 2.0 inches.
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Please may I have some help thank you x
Answer:
I think x=2 because
3x4=12
12×2=24
×=2
Answer:
Th answer is 2cm
Step-by-step explanation:
3 x 4 = 12
24 / 12 = 2
Factor the expression using the GCF
16x+56y
Answer:
8(2×+7y)
Step-by-step explanation:
8 is the largest factor
el producto de dos números pares positivos es cuatro veces el menor, más 48 ¿ cual es el producto?
Answer:
El número más pequeño es
6
Step-by-step explanation:
Deje que el número más pequeño sea
s
(
→
el número mayor es
s
+
2
)
s
⋅
(
s
+
2
)
=
48
→
s
2
+
2
s
-
48
=
0
→
(
s
-
6
)
(
s
+
8
)
=
0
→
s
=
6
o
s
=
-
8
what is 12 1/2% as a fraction in simplest form
Answer:
25/2 I believe
Step-by-step explanation:
Let a = (2, 1, 0), b = (3, -1, 2), c = (4, 0, 3)
Find the volume of the parallelopiped with sides a, b and c.
The volume of the parallelopiped is 14 cubic units
What is the volume of a parallelopiped?The volume of a parallelopiped with vector sides a, b and c is given by
V = (a × b).c
Given that the parallelopiped has sides
a = (2, 1, 0)b = (3, - 1, 2) and c = (4, 0, 3)So, we have that
(a × b) = (2, 1, 0) × (3, -1, 2) = (2 × 3)i × i + (2 × -1)i × j + (2 × 2)i × k + (1 × 3)j × i + (1 × -1)j × j + (1 × 2)j × k + (0 × 3)k × i + (0 × -1)k × j + (0 × 2)k × k
Since
i × i = 0, j × j = 0, k × k = 0, i × j = k, j × i = -k, j × k = i, k × j = -i, k × i = j, i × k = -j,So,
(a × b) = (2, 1, 0) × (3, -1, 2) = (6) × 0 + (-2)k + -(4)j + 3i + (-1) × 0 + (2)i + -(3)j + -(0)i + (0) × 0
= 0 -2k - 4j + 3i + 2i - 3j - 0 + 0
= 5i -7j - 2k
= (5, -7, -2).
Since (a × b) = (5, -7, -2)
So, the volume of the parallelopiped is
V = (a × b).c
= (5, -7, -2).(4, 0, 3)
= 5 × 4 + (-7 × 0) + (-2 × 3)
= 20 - 0 - 6
= 14.
So, the volume is 14 cubic units.
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Write the correct inequality for the following statement and then solve for the given number of
yards.
You have found a used car and your parents have agreed to pay the first
$750 for you. You have a summer job mowing yards for $25 per yard.
Write and inequality that will calculate the number of yards (y) you will
have to mow to get to at least the cost (C) of the car.
If the car cost a total of $4500 how many yards will you have to mow?
The inequality that will calculate the number of yards (y) you will have to mow to get to at least the cost (C) of the car is 25y + 750 ≥ C.
If the car costs a total of $4500 number of yards you will have to mow is 150 yards at least.
What is inequality in math?In mathematics, a statement of an order relationship between two integers or algebraic expressions (greater than, greater than or equal to, less than, or less than or equal to) is called an Inequality.
Given:
Price of the car paid by your parents = $750
You have a summer job mowing yards for $25 per yard.
We have to determine an inequality that will calculate the number of yards (y) you will have to mow to get to at least the cost (C) of the car.
So, the required inequality is
25y + 750 ≥ C
Now, the Cost of the car given is $4500.
Substituting this in the inequality to find the number of yards,
25y + 750 ≥ 4500
Subtracting 750 from both sides
25y ≥ 3750
Dividing both sides by 25,
y ≥ 150
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There are 336 girls at at concert the ratio of girls to boys at the concert is 4 to 5
Answer:
84 boys at the concert
Step-by-step explanation:
Because 80% of the girls and guys is girs the other 20% is the guys so 84 boys is the other 20%
Answer:
i think 756 but im just trying im sorry if its wrong
A student is attempting to convert a slope-intercept equation into standard form. Which of the following statements best applies to the sample math given below? Given y=1/4x+2 I first isolate the constant. After doing so, I get the equation -1/4x+y=2 To remove the fraction, I multiply by –4, giving the equation x-4y=2 which is the final answer. A. the work shown to isolate the constant is not correct B. the work shown to remove all fractions is not correct C. the final answer is not in standard form D. the work shown is correct
The statement that applies to the sample math is:
B. the work shown to remove all fractions is not correct
How to change the subject of the formula?The given steps are:
y = ¹/₄x + 2
- I first isolate the constant.
- After doing so, I get the equation: -¹/₄x + y = 2
- To remove the fraction, I multiply by –4, giving the equation x - 4y=2, which is the final answer.
The correct steps are as follows:
y = ¹/₄x + 2
First isolate the constant to get: y - ¹/₄x = 2
To remove the fraction, Multiply the obtained equation by –4
So, Equation : x - 4y = -8
On comparing both the work we can see that in the given work the removal of fraction is done incorrectly
They didn't multiply -4 on the right hand side .
Thus, option B applies.
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What is the present value of R13 000 p.a. invested at the beginning of each year for 8years at 10%p.a. compound interest? (NB Use the compound interest tables provided or work to three decimal places only.)
Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:
PV = A *\((1 - (1 + r)^(-n)) / r\)
Where:
PV = Present value
A = Annual payment or cash flow
r = Interest rate per period
n = Number of periods
In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).
Using the formula and substituting the given values, we can calculate the present value:
PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)
Calculating this expression:
PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)
= 13000 * (1 - 0.46318) / 0.10
= 13000 * 0.53682 / 0.10
= 6977.66 / 0.10
= 69776.6
Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
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If the HCF of two numbers is 36 and their LCM is 1260 . If one number is 72 find the other one
Hence, The other Number is: B = 630
Step-by-step explanation: EUCLIDS ALGORITHMIf the HCF of two numbers is 36 and their LCM is 1260. If one number is 72 find the other one:
PRIME FACTORS of 1260 are:2, 2, 3, 3, 7
PRIME FACTORS of 72 are:2, 2, 2, 3, 3
Write the formula for HCF and LCM:HCF * LCM = a * b
HCF = 2 * 2 * 3 * 3
= 36
Substitute The Given Values:36 * 1260 = 72 * b
36 * 1260 = 72b
45360 = 72b
Divide Both Sides by 36:1260 = 2 * b
45360 / 72 = 72b/72
b = 630
Divide Both Sides by 2:B = 630
Draw the conclusion:Hence, The other Number is: B = 630
I hope this helps you!
There are 6 pails in a row. The first 3 pails are filled with water. How can you make only one adjustment to make the following pattern: full, empty, full, empty, full and empty?
The pattern is empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.
Given that, there are 6 pails in a row. The first 3 pails are filled with water.
The easiest way to solve this problem is to empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty. This will create the desired pattern of full, empty, full, empty, full, empty.
Therefore, empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.
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3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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Estimate the sum
776+348
- Using rounding to the most significant digit
-Using Compatible Numbers
Answer:
Step-by-step explanation: the answer is 1130
Drag and drop numbers into the equation to complete the equation of the line in slope-intercept form.The line passes through (8, 19) and (5, 1).
we are given two points
(8,19) and (5,1)
firstly, we need to calculate the slope
slope = y2 - y1 / x2 - x1
from the points
x1 = 8, y1 = 19, x2 = 5, y2 = 1
slope = 1 -19 / 5 - 8
slope = -18/-3
negative will cancel each other
slope = 18/3
slope = 6
slope intercept equation is
y - y1 = m(x - x1)
m = slope = 6
y1 = 19 and x1 = 8
y - 19 = 6(x - 8)
open the parentheses
y - 19 = 6*x - 6*8
y - 19 = 6x - 48
make y the subject of the formula
y = 6x - 48 + 19
y = 6x - 29