Answer:
larger number : 24
smaller number : 10
Step-by-step explanation:
Final answer:
To find the two numbers whose sum is 34 with one being 14 less than the other, equations were set up and solved. The larger number is 24, and the smaller number is 10.
Explanation:
The sum of two numbers is given as 34, and it is known that the smaller number is 14 less than the larger number. To find these numbers, we can set up a system of equations. Let's denote the larger number as L and the smaller number as S. According to the problem, we have two equations:
L + S = 34 (The sum of the larger and smaller number is 34)S = L - 14 (The smaller number is 14 less than the larger number)Substituting the second equation into the first one gives us:
L + (L - 14) = 34
Combining like terms, we get:
2L - 14 = 34
Adding 14 to both sides, we obtain:
2L = 48
Dividing both sides by 2 gives us the value of L:
L = 24
Now that we have the larger number, we can find the smaller number by subtracting 14 from L:
S = 24 - 14
S = 10
The numbers are 24 and 10, with 10 being the smaller number.
What is the equation of the following line written in slope-intercept form?
A) y = 2/3 x - 13/3
B) y = 3/2x - 13/3
C) y = -2/3x - 13/3
Answer:
The correct answer option is C) y = -2/3x - 13/3.
Step-by-step explanation:
We are given a straight line graph with one known point and we are to find its equation.
We will take one more point on the line to find the slope.
(-5, -1) and (-2, -3)
Slope (m) = [tex]\frac{-3-(-1)}{-2-(-5)} =-\frac{2}{3}[/tex]
Now finding the y-intercept:
[tex]y=mx+c[/tex]
[tex]-1=-\frac{2}{3} (-5)+c[/tex]
[tex]c=-\frac{13}{3}[/tex]
Therefore, the equation of this line is y = -2/3x - 13/3.
Answer:Answer:
The correct answer option is C) y = -2/3x - 13/3.
Step-by-step explanation:
We are given a straight line graph with one known point and we are to find its equation.
We will take one more point on the line to find the slope.
(-5, -1) and (-2, -3)
Slope (m) =
Now finding the y-intercept:
Therefore, the equation of this line is y = -2/3x - 13/3.
Step-by-step explanation: Please mark me brainliest PLEASE !!!!!!!!!!!!!!!!!!!
Hayden mixed 6 cups of blue paint with 8 cups of yellow
paint to make green paint. Write an equation that shows the
relationship between the number of cups of blue paint, b,
and the number of cups of yellow paint, y, that are needed to
create the same shade of green paint. The equation should
be in the form b=ky.
Answer:
the answer is probably 6x:8y
Step-by-step explanation:
Determine the binomial probability
Answer:
21. Option d
22. Option b
23. Option b
Step-by-step explanation:
The formula to calculate the binomial probability is represented as follows.
[tex]P(X=x) = \frac{n!}{x!(n-x)!}p^x(1-p)^{n-x}[/tex]
The formula to calculate the binomial probability is represented as follows.
In this formula x represents the number of successes, n represents the number of times the experiment is repeated, p represents the probability of success.
1. First we are asked to calculate the probability of obtaining 3 successes, with n = 6 and p = 0.35.
Then we substitute the values in the formula [tex]P(X=3) = \frac{6!}{3!(6-3)!}(0.35)^3(1-0.35)^{6-3}\\\\P(3) = 0.2354[/tex]
Option d.
2. Second we are asked to calculate the probability of obtaining 5 successes, with n = 20 and p = 60%, p = 0.6.
[tex]P(X=5) = \frac{20!}{5!(20-5)!}(0.6)^5(1-0.6)^{20-5}\\\\P(5) = 0.00129[/tex]
option b
3. Third we are asked to calculate the probability of obtaining 2 successes, with n = 10 and p = 1/2, p = 0.5.
[tex]P(X=2) = \frac{10!}{2!(10-2)!}(0.5)^2(1-0.5)^{10-2}\\\\P(2) = 0.04394[/tex]
option b
20×(6/ 8) = □
20×(4/3) = □
20×(8/6) = □
20×(3/4) = □
6×(8 /20) = □
the parentheses are fractions
Answer:
1. 15
2. 26.6666666667
3. 26.6666666667
4. 15
5. 8
Step-by-step explanation:
A parallelogram has one angle that measures 90°. What are the measures of the other three angles in the parallelogram?
If one angle in a parallelogram is 90°, all four angles are 90°, making the parallelogram a rectangle.
Explanation:When dealing with a parallelogram, it is important to remember certain properties about its angles. A parallelogram has opposite angles that are equal and consecutive angles that are supplementary (add up to 180 degrees). If one angle is 90°, then the opposite angle must also be 90°. Since one pair of opposite angles are right angles, this parallelogram is actually a rectangle. This means the other two angles in the parallelogram must also be 90° each.
So, in conclusion, if a parallelogram has one angle that measures 90 degrees, the measures of the other three angles in the parallelogram are also 90 degrees each. This is because a parallelogram with all right angles is a rectangle, and by definition, a rectangle has all angles measuring 90 degrees.
Learn more about Angle Measures in Parallelograms:https://brainly.com/question/12435454
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In a parallelogram with one angle measuring 90°, the other three angles also measure 90°, making the parallelogram a rectangle.
In a parallelogram, opposite angles are equal, and adjacent angles are supplementary (sum to 180°). Since one angle measures 90°, its opposite angle must also be 90°. Therefore, the adjacent angles must each be 180° - 90° = 90°.
So, the measures of the other three angles in the parallelogram are all 90°.Since one angle in a parallelogram measures 90°, the other three angles must also be 90°, making this parallelogram a rectangle.
2/3miles equal how many feet
Answer: 3,520 feet
Step-by-step explanation:
To solve this exercise you must apply the proccedure shown below.
You know that 1 miles is equal to 5,280 feet.
1 mile=5,280 feet (This is the conversion factor that you should use)
Then, keeping the above on mind, you can convert 2/3 miles to feet as following:
[tex](\frac{2}{3}miles)(\frac{5,280feet}{1mile})=3,520feet[/tex]
Farimah and Helio are standing 15 ft. apart from each other and looking up at a kite that is with the flying between them. Farimah is flying the kite on a 57 ft. string at an angle of 68° with the ground. How far is Helio from the kite?
A. 64.1 ft.
B. 56.2 ft
C. 60.0 ft.
D. 53.2 ft.
Answer:
D. 53.2 ft.
Step-by-step explanation:
As you can see in the diagram, Farimah, Helio, and the kite are making a triangle. We know from our problem that the distance from Farimah to Helio is 15 ft, the distance from Farimah to the kite is 57 ft, and the angle of elevation from Farimah to the kite is 68°. From this situation, we can infer that we have two sides of the triangle and the angle between those sides; therefore, we can use the law of cosines to find the third side, which is the distance form Helio to the kite:
[tex]c^2=a^2+b^2-2abcos(C)[/tex]
[tex]c^2=57^2+15^2-2(57)(15)cos(68)[/tex]
[tex]c=\sqrt{57^2+15^2-2(57)(15)cos(68)}[/tex]
[tex]c=53.2[/tex]
We can conclude that Helio is 53.2 ft from the kite.
Answer:
D. 53.2
You can use the Law of Cosines to solve.
I tried to solve this but I still don’t understand
Answer:
B
Step-by-step explanation:
given
f(x) = 3x + 2
To evaluate f(5) substitute x = 5 into f(x) that is
f(5) = (3 × 5 ) + 2 = 15 + 2 = 17 → B
Points A and B split the circle into two arcs. Measure of minor arc is 150°. Point M splits major arc with the ratio 2:5 (point M is closer to point B). Find m∠BAM.
Answer:
If point a and point b split the circle in 2 arcs.
One of the point take up way more space than the other one.
Answer: Measure of ∠BAM is 30°.
Step-by-step explanation: As shown in the attached figure, points A and B split the circle with center O into two arcs. Major of the minor arc is 150°. And, the point M splits the major arc in the ratio 2 : 5.
We are to find the measure of ∠BAM.
Since the measure of minor arc AB is 150°, so the measure of major arc AB will be
360° - 150° = 210°.
Also, point M divides the major arc AB in the ratio 2 : 5, so we have
[tex]\textup{arc }BM:\textup{arc }{MA}=2:5.[/tex]
Therefore, the measure of ∠BOM is given by
[tex]m\angle BOM=\dfrac{2}{2+5}\times 210^\circ=\dfrac{2}{7}\times210^\circ=2\times30^\circ=60^\circ.[/tex]
We know that the measure of the angle subtended at the center by an arc is equal to twice the measure of the angle subtended at the circumference by the same arc.
That is, for arc BC, we get
[tex]m\angle BOM=2\times m\angle BAM\\\\\\\Rightarrow m\angle BAM=\dfrac{m\angle BOM}{2}\\\\\\\Rightarrow m\angle BAM=\dfrac{60^\circ}{2}\\\\\\\Rightarrow m\angle BAM = 30^\circ.[/tex]
Thus, the measure of ∠BAM is 30°.
Triangle ABC ≅ DEF. Each side of triangle ABC is 1.5 times longer than the corresponding sides of triangle DEF. If the perimeter of triangle ABC is 36 centimeters, what is the perimeter of triangle DEF?
Answer:
Step-by-step explanation:
see attachment
Final answer:
The perimeter of triangle DEF is 24 centimeters.
Explanation:
The perimeter of a triangle is the sum of the lengths of its three sides. In this case, triangle ABC is congruent to triangle DEF, and each side of triangle ABC is 1.5 times longer than the corresponding side of triangle DEF. Let's assume the lengths of the corresponding sides of triangle DEF are x, y, and z. Therefore, the lengths of the corresponding sides of triangle ABC are 1.5x, 1.5y, and 1.5z.
Since the perimeter of triangle ABC is 36 centimeters, we can set up the equation as follows: 1.5x + 1.5y + 1.5z = 36. Simplifying the equation, we get x + y + z = 24. This means the perimeter of triangle DEF is 24 centimeters.
Flora’s car is 59/100 meters longer than Sally’s car.Sally’s car is 2/10 of a meter longer then Trevor’s car.how many longer is flora’s car than trevor’s car?
Flora's car is 79/100 meters longer than Trevor's car after adding the separate differences between Flora's car and Sally's and Sally's car and Trevor's.
To find out how much longer Flora's car is than Trevor's, we need to add the two differences mentioned:
Flora's car is 59/100 meters longer than Sally’s car.
Sally’s car is 2/10 of a meter (20/100 when having a common denominator with 59/100) longer than Trevor’s car.
First, we express 2/10 as 20/100 to have a common denominator with 59/100 for easier addition:
59/100 + 20/100 = 79/100
Now we add the two lengths to determine how much longer Flora’s car is than Trevor's.
79/100 meters
Therefore, Flora's car is 79/100 meters longer than Trevor's car.
Please help me find DG on the attached diagram. Thanks!
Answer:
Step-by-step explanation:
DG=x+20
DG=2x+17+8+2
x+20=2x+27
20=x+27
-7=x
DG=13
Answer:
DG = 20
Step-by-step explanation:
We are given a straight line DG with point E and F on it and we are to find the length of DG.
We have [tex] D E = 2 x + 7 [/tex], [tex] E F = 8 [/tex], [tex] F G = 2 [/tex] and [tex] D G = x + 20 [/tex].
So we can write it as:
[tex] DG = DE + EF + FG [/tex]
[tex]x+20 = 2x+17+8+2[/tex]
[tex]2x-x=20-17-8-2[/tex]
[tex]x=-7[/tex]
Substituting this value of [tex]x[/tex] to find DG:
DG = [tex]+x+20 = -7+20[/tex] = 13
I don’t understand this. Triangles abc and pqr are given. Triangle abc is congruent to pqr by sas. If angle abc=12x+2, angle pqr= 142-2x, ....
Answer:
The true statements:
- AB = 8
- x is seven units greater than y
- m∠ABC = 122°
Step-by-step explanation:
* One case of congruence is SAS that means
- If two sides and including angle between them in the first
triangle equal to the corresponding sides and angle in the
second triangle, then the two triangles are congruent
* In the problem
- Triangle ABC is congruent to triangle PQR using SAS case
* That means
- AB = PQ
- BC = QR
- m∠ABC = m∠PQR
- Where angle ABC including angle between AB and BC
and angle PQR is the including angle between PQ and QR
* Now we will use the information about the lengths of AB
and PQ to find y, and use the measures of angles ABC and
PQR to find x and then chose the correct answer
∵ m∠ABC = 12x + 2
∵ m∠PQR = 142 - 2x
∵ m∠ABC = m∠PQR
∴ 12x + 2 = 142 - 2x ⇒ collect the like terms
∴ 12x + 2x = 142 - 2
∴ 14 x = 140 ⇒ divide both sides by 14
∴ x = 10
* Lets substitute this value of x to find the m∠ABC and m∠PQR
- m∠ABC = 12(10) + 2 = 120 + 2 = 122°
- m∠PQR = 142 - 2(10) = 142 - 20 = 122°
∵ AB = 5y - 7
∵ PQ = 3y - 1
∵ AB = PQ
∴ 5y - 7 = 3y - 1 ⇒ collect the like terms
∴ 5y - 3y = -1 + 7
∴ 2y = 6 ⇒ divide both sides by 2
∴ y = 3
* Lets substitute this value of y to find the AB and PQ
- AB = 5(3) - 7 = 8 units
- PQ = 3(3) - 1 = 8 units
* Lets check the answer to chose the right answer
- 1st answer ⇒ AB = 8 (√)
- 2nd answer ⇒ m∠PQR = 140° (x)
- 3rd answer ⇒ y = 1 (x)
- 4th answer ⇒ x is seven units greater than y (√)
( x = 10 and y = 3 then x - y = 10 - 3 = 7)
- 5th answer ⇒ m∠ABC = 122° (√)
- 6th answer ⇒ PQ = 3 (x)
Answer:
A
D
E
Step-by-step explanation:
Evaluate the function for the indicated values of x.
f(−10) =
f(2) =
f(−5) =
f(−1) =
f(8) =
Answer:
f(-10) = -19
f(2) = 4
f(-5) = -9
f(-1) = 1
f(8) = -5
Step-by-step explanation:
This is relatively simple if you understand the concept. All you have to do is take each number and then look at each inequality to see where it fits.
For example, if you take 2 and look at the first inequality, you see that 2 is not less than or equal to 5. Now if you look at the second inequality, you see that 2 is both greater than -5 and less than 5. Since 2 fits in the second inequality, you plug it into the second equation.
These functions where you have to see where the x-value fits are called piecewise functions and you will see them a lot in higher level math.
(disclaimer: I evaluated the numbers quickly, so I would doublecheck it, but I am pretty sure I didn't mess up)
Answer:
f(-10) = -19
f(2) = 4
f(-5) = -9
f(-1) = 1
f(8) = -5
Step-by-step explanation:
The domain for x is all real numbers (without restrictions). For instance, if f(x) = x^2, on -5 < x < 5, on negative x, you must use f(x) = (-1)^2 to get 1.
If x is >= 5, then the range is 3 - x, so f(x) = 3 - x, if x >= 5.
If x is <= -5, then the range is 2x + 1, so f(x) = 2x + 1, if x <= -5.
You randomly draw a marble from a bag, record its color, and then replace it. You draw a blue marble 3 out of 50 times. What is the experimental probability that the next marble will be blue?
please answer ASAP
The central angle is described by angle AOC
What is the central angle?
A central angle is an angle formed by two radii (lines from the center of a circle) that intersect at a point on the circle's circumference.
It is called "central" because it originates from the center of the circle.
In this case, the radii are AO and CO
Central angles are essential in geometry
convert 0.00687 into scientific notation
Answer:
6.87^-3
Step-by-step explanation:
Answer:
6.87 x 10-3
Step-by-step explanation:
In scientific notation all numbers are written in the form of m×10n (m times ten raised to the power of n), where the exponent n is an integer, and the coefficient m is any real number, called the significand or mantissa. If the number is negative then a minus sign precedes m (as in ordinary decimal notation).
what is 0.01% in decimal value
Answer:
your answer is 0.001
Step-by-step explanation:
you multiply by 100
move the decimal two places to the right
~~→hope this helps← ~~
║bangtanboys7║
Answer:
you get 0.001
Step-by-step explanation:
Convert the percentage to a fraction by placing the expression over 100 . Percentage means 'out of 100 '.
[tex]\frac{0.01}{100}[/tex]
Convert the decimal number to a fraction by shifting the decimal point in both the numerator and denominator. Since there are 2 numbers to the right of the decimal point, move the decimal point 2 places to the right.
[tex]\frac{1}{0000}[/tex]
Convert the fraction to a decimal by dividing the numerator by the denominator. then you get 0.001 as your answer
Hope This Helps
Have A Nice Day/Night (·❛ᴗ❛·)
Stay Safe,Stay Positive, Stay Gold ⭐
~susu
#3. Find the area of the triangle. Round to 2 decimal places. Thanks.
Answer:
C
Step-by-step explanation:
The area (A) of the triangle is calculated using
A = [tex]\frac{1}{2}[/tex] ab sinC
where a, b are the 2 sides and C is the angle between them
here a = 6, b = 2 and C = 80°, hence
A = 0.5 × 6 × 2 × sin80° = 5.91 cm² → C
solve this equation
5(-7x-3)- 8x=-230
Simplifying
5(7x + -3) = 230
Reorder the terms:
5(-3 + 7x) = 230
(-3 * 5 + 7x * 5) = 230
(-15 + 35x) = 230
Solving
-15 + 35x = 230
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + 35x = 230 + 15
Combine like terms: -15 + 15 = 0
0 + 35x = 230 + 15
35x = 230 + 15
Combine like terms: 230 + 15 = 245
35x = 245
Divide each side by '35'.
x = 7
Simplifying
x = 7
HELP PLS ANSWER ASAP DUE TOMARROW
Answer:
they need to sell 15,000 because 42 percent of 15,00 is 6,300+2500=800
the inequality should be. 2500+0.42s≥8,800
and the number line should have a closed point on 15,000 with the line pointing to the right
2d - 5 = 17
what is the value of d ?
2d-5=17
+5 +5
2d=22
*divide by 2 on each side
*2d cancels out
* 22 divided by 2d
The value of d=11
Which is the vertex of x2 + 10x = -17
(-5,-8)
(5,8)
(-5,8)
(5,-8)
Answer:
vertex = (- 5, - 8)
Step-by-step explanation:
Given a quadratic in standard form : ax² + bx + c = 0 : a ≠ 0
Then the x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
Given x² + 10x = - 17 ( add 17 to both sides )
x² + 10x + 17 = 0 ← in standard form
with a = 1, b = 10, c = 17, then
[tex]x_{vertex}[/tex] = - [tex]\frac{10}{2}[/tex] = - 5
Substitute x = - 5 into the quadratic for the corresponding value of y
y = (- 5)² + 10(- 5) + 17 = 25 - 50 + 17 = - 8
Hence vertex = (- 5, - 8)
What is the distance between begin ordered pair 8 comma negative 3 comma 4 end ordered pair and begin ordered pair 6 comma negative 4 comma 1 end ordered pair? Round to the nearest tenth of a unit.
Answer:
[tex]d = \sqrt{14} = 3.74...[/tex]
Step-by-step explanation:
To find the distance between (8, -3, 4) and (6, -4, 1), use the distance formula for (x,y,z) points. It is very similar to (x,y) points.
[tex]d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2 + (z_2 - z_1)^2} \\d = \sqrt{(8 - 6)^2 + (-3--4)^2 + (4-1)^2} \\d = \sqrt{(2)^2 + (1)^2 + (3)^2} \\d = \sqrt{4 + 1 + 9}\\ d = \sqrt{14} = 3.74...[/tex]
is 6/15 equivalent to 2/3
mary lou is twice geoge's and kate is two years younger than george the sum of all of their ages is 46 how old is everyone
Answer:
George is 12, Mary Lou is 24 and Kate is 10.
Step-by-step explanation:
To find these, start by setting George's age as x. This means that we can model Mary Lou's age as 2x, since she is twice as old. We can also model Kate's age as x - 2 since she is two years younger. Now we can add these 3 together and set equal to 46
x + 2x + x - 2 = 46
4x - 2 = 46
4x = 48
x = 12
This means that George is 12.
Mary Lou = 2x
Mary Lou = 2(12)
Mary Lou = 24
Kate = x - 2
Kate = 12 - 2
Kate = 10
Answer:
G 12 Mary L 24 and kate is 10
Step-by-step explanation:
please help!!!!!!!!!
The answer is:
C. [tex]\frac{x-\sqrt{5x}}{x-5}[/tex]
Why?Since we have rational numbers on both numerator and denominator, we need to rationalize (simplify) using the conjugate method on the denominator, for this case, the conjugate will be the same expression changing the positive sign "+" to a negative sign "-". Conjugate method means that we need to multiply and divide for the same term in order to not affect the expression.
Also, for solving this problem, we need to remember the following:
[tex]a^{2}-b^{2}=(a+b)(a-b)[/tex]
And,
[tex]\sqrt[n]{a}*\sqrt[n]{b}=\sqrt[n]{a*b}[/tex]
So, the conjugate for the expression will be:
[tex]\sqrt{x}-\sqrt{5}[/tex]
Applying the conjugate for the expression, we will have:
[tex]\frac{\sqrt{x} }{\sqrt{x}+\sqrt{5}}*\frac{\sqrt{x}-\sqrt{5}}{\sqrt{x}-\sqrt{5}}=\frac{\sqrt{x}*\sqrt{x} -\sqrt{x}*\sqrt{5}}{(\sqrt{x})^{2}-\sqrt{x}*\sqrt{5}+\sqrt{5}*\sqrt{x}-(\sqrt{5})^{2}}\\\\\frac{(\sqrt{x})^{2}-\sqrt{5x}}{x-5}=\frac{x-\sqrt{5x}}{x-5}[/tex]
So, the rationalized form of the expression is:
[tex]\frac{x-\sqrt{5x}}{x-5}[/tex]
Have a nice day!
Solve for R. What will be the answer PV=nRT
Answer:
R = PV / nT
Step-by-step explanation:
PV = nRT solve for R
rewrite
nRT = PV
Divide both sides by nT
nRT / nT = PV / nT
Simplifying
R = PV / nT
First option is the answer
The fourth term of a sequence is 14. Each term of the sequence is 8 less than the previous term. Which recursive formula represents the situation?
So
an=an+b
14=4a+b and a=-8
14=-32+b
b= 46
an=-8n+46
Answer with Step-by-step explanation:
[tex]a_{4}=14[/tex]
Each term of the sequence is 8 less than the previous term
⇒ [tex]a_{3}=14+8=22[/tex]
⇒ [tex]a_{2}=22+8=30[/tex]
⇒ [tex]a_{1}=30+8=38[/tex]
In general [tex]a_{n}=a_{n-1}-8,a_{1}=38[/tex]
Hence, recursive formula representing the situation is:
[tex]a_{n}=a_{n-1}-8,a_{1}=38[/tex]
Jamal performed an experiment flipping a coin. He did 10 trials and then his arm got tired. He recorded his results in the table. Based on the experimental probability, Jamal predicted that the number of times the coin lands heads up will always be greater than the number of times it lands tails up. What is the error in his prediction? He should have performed fewer trials before comparing them to the theoretical probability. He did not need to perform the experiment to compare theoretical and experimental probabilities. He should have subtracted the theoretical probability from the experimental probability. He did not perform enough trials to compare the theoretical and experimental probabilities.
Answer: ((( D )))He did not perform enough trials to compare the theoretical and experimental probabilities.
Step-by-step explanation:
Answer:
d on edu 2020
Step-by-step explanation: