Answer:
smaller number is 7
larger number is 35
Step-by-step explanation:
Let the smaller number be x
Given that greater number is 6 more than 4 times the smaller number.
If x is value of smaller number then 4 times the smaller number is 4*x= 4x
six more than 4 times the smaller number will be 6+4x.
Thus larger number is 6+4x
Sum of smaller and larger no is 41.
Substituting the value of smaller and larger number in sum we have
x+6+4x = 41
=> 5x+6 = 41
=> 5x = 41-6
=> 5x= 35
=>x = 35/5 = 7
Thus smaller number is x = 7
larger number = 4x+6 = 4*7+6 = 35
To find the two numbers, we can set up two equations and solve them using substitution and simplification. The smaller number is 7, and the larger number is 34.
Explanation:To solve this problem, we can set up two equations.
Let's call the smaller number 'x' and the greater number 'y'.
From the given information, we know that:
y = 4x + 6 (Equation 1)
x + y = 41 (Equation 2)
Now, we can substitute Equation 1 into Equation 2 to solve for 'x':
x + (4x + 6) = 41
Combining like terms, we have:
5x + 6 = 41
Next, subtracting 6 from both sides gives:
5x = 35
Finally, dividing both sides by 5 gives:
x = 7
So, the smaller number is 7.
Plugging this value back into Equation 1:
y = 4(7) + 6 = 34
Thus, the larger number is 34.
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The Japanese 5 yen coin has a hole in the middle. What are the possible ways to calculate the difference between the distances from the outer edges and the inner edges of the coin? Check all that apply. Subtract the two diameters and multiply by 3107-11-05-20-05-task Calculate the circumference of the coin. Add the two diameters and multiply by 3107-11-05-20-05-task Subtract the circumference of the hole from the circumference of the coin. Calculate the radius of the hole.
Answer:a) Subtract the two diameters and multiply by 3.14
d) Subtract the circumference of the hole from the circumference of the coin
Step-by-step explanation:
i just did the assignment
The possible ways to calculate the difference between the distances from the outer edges and the inner edges of the coin is
a) Subtract the two diameters and multiply by 3.14
b) Subtract the circumference of the hole from the circumference of the coin
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the coin be represented by a circle
Now , The outer edge of the coin is having a diameter of d₁
The inner edge of the coin is having diameter of d₂
So , the difference between the distances from the outer edges and the inner edges of the coin is given by
A = ( d₁ - d₂ )π
A = 2πr₁ - 2πr₂
Hence , difference between the distances from the outer edges and the inner edges of the coin is solved
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Since y generally
as x increases,
x and y have a
Answer: decreases; negative correlation; not
Step-by-step explanation:
Just got it right in the assignment
Answer:
Since y generally
✔ decreases
as x increases,
x and y have a
✔ negative correlation
The number of calories is
✔ not
correlated with the amount of vitamin C.
Step-by-step explanation:
Just took it. Edg 2020. Hope this helps :)
Find all numbers for which the rational expression is not defined!
5/x+8
Answer:
So I'm assuming we need the denominator to be 0. The only number that will satisfy this is -8.
x = -8.
Step-by-step explanation:
The reason is we need the denominator to be 0. The only way is -8 + 8 which is 0.
on a recent latin quiz, two people scored a 100, three people scored a 90, five people scored an 80, one person scored a 70. find the standard deviation of these scores
Math is often used to
determine the correct dosage for medications;
create scale drawings;
graph data from scientific investigations.
Given this information, what conclusion can be made about mathematics?
A.
Mathematics can be used in many different kinds of tasks.
B.
Mathematics has no useful applications.
C.
All scientific investigations must use mathematics.
D.
The use of mathematics is limited to only a few situations.
Chase and Emily are buying stools for their patio. They are deciding between 3 heights (table height, bar height, and XL height) and 3 colors (brown, white, and black). They each created a display to represent the sample space of randomly picking a height and a color.
Answer:
Neither
Step-by-step explanation:
Answer:
D: Neither
Step-by-step explanation:
What is the value of x in the equation 2 (x + 3) = 4 (x - 1)?
o 1
o 2
o 3
o 5
please help T.T brainliest & 25 pts. :0
Answer:
5
Step-by-step explanation:
What is the volume of this figure?
Answer:
90 cubic inches
Step-by-step explanation:
The greatest common factor of 14 and 38
Answer:
2
Step-by-step explanation:
when you order all their GCF's, going backwards, you can see that both of them are divisible by 2. Hope this helps! If you are still confused please comment!
The greatest common factor of numbers 14 and 38 is 2.
To find the greatest common factor (GCF) of 14 and 38, we can determine the largest positive integer that divides both numbers evenly.
To begin, let's find the factors of each number:
Factors of 14: 1, 2, 7, 14
Factors of 38: 1, 2, 19, 38
The common factors between 14 and 38 are 1 and 2.
However, the greatest common factor, so the GCF is 2.
Therefore, the greatest common factor of 14 and 38 is 2.
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PLEASE HELP ME!!!
Use the quadratic formula to solve the equation.
5x^2−13x+7=0
Enter your answers, in simplified radical form
Answer:
[tex]\frac{13+\sqrt{29}}{10} , \frac{13-\sqrt{29}}{10}[/tex]
Step-by-step explanation:
[tex]5x^2-13x+7=0[/tex]
[tex]x=\dfrac{13\pm \sqrt{169-140}}{10}=\frac{13+\sqrt{29}}{10} , \frac{13-\sqrt{29}}{10}[/tex] . Hope this helps!
Find the surface area of a rectangular prism with length 7 m, width 5 m, and height 3 m.
WILL DO BRAINLIEST!!!!!!!!
Answer:
142 meters
Step-by-step explanation:
As= 2(lw+lh+wh)
Answer: The surface area is 142m^2
Step-by-step explanation:
-The formula:
[tex]A = 2(wl+hl+hw)[/tex]
-Solve:
[tex]A =[/tex] [tex]2[/tex] [tex](5[/tex] × [tex]7[/tex][tex])[/tex] [tex]+2[/tex] [tex](3[/tex] × [tex]7)[/tex] [tex]+ 2[/tex] [tex](3[/tex] × [tex]5)[/tex]
[tex]A = 10[/tex] × [tex]7 + 6[/tex] × [tex]7 + 6[/tex] × [tex]5[/tex]
[tex]A = 70 + 6[/tex] × [tex]7 +6[/tex] × [tex]5[/tex]
[tex]A = 70 + 42 +6[/tex] × [tex]5[/tex]
[tex]A = 112 + 6[/tex] × [tex]5[/tex]
[tex]A = 112 +30[/tex]
[tex]A = 142[/tex]
Therefore, the surface area of a rectangular prism is [tex]142 m ^2[/tex].
In a recent year, U.S. advertisers spent $60 billion on television advertising. This number made up 40 percent of total advertising. What was the dollar amount spent by U.S. advertisers on all other forms of advertising?
Answer:
The amount spent on all other types of advertising is $90 billion
Step-by-step explanation:
In this question, we are asked to calculate the amount spent on all other forms of advertising given the amount spent on tv advertising and the percentage of the total that it represents.
Firstly, we need to calculate the total amount spent on advertising.
we do not know this amount, so we can call it x.
Now, mathematically;
40% of x = $60 billion
40/100 * x = 60 billion
40x = 100 * 60 billion
x = (100 * 60)/40 = 6000/40 = 150 billion
The amount spent on all other advertising = Total amount spent on advertising- amount spent on television advertising = 150 billion - 60 billion = 90 billion
Which of the following statements correctly describes the points? The distance between (3, 4) and (3, –7) is 11 units. The distance between (3, 4) and (3, –7) is 3 units. The distance between (4, 3) and (–7, 3) is 10 units. The distance between (4, 3) and (4, –7) is 4 units.
Answer:
The distance between (3, 4) and (3, –7) is 11 units
Step-by-step explanation:
Answer:
The person that answered first is right
Step-by-step explanation:
In ΔXYZ, the measure of ∠Z=90°, the measure of ∠X=20°, and XY = 73 feet. Find the length of ZX to the nearest tenth of a foot
Answer:
ZX = 68.6 feet
Step-by-step explanation:
In this question, we are asked to calculate the length of ZX.
please check attachment for diagram of triangle.
Now, we have to use trigonometric identities to get the length xz.
Looking at the triangle, we can see we have the hypotenuse an angle and we are asked to calculate the the adjacent.
The trigonometric identity to use here is the Cosine.
Mathematically, The cosine is the ratio of the adjacent to the hypotenuse.
Cos 20 = xz/73
xz = 73 Cos 20
xz = 73 * 0.939692620786
xz = 68.6 feet
Wynn needs to find the center of the data set shown on the dot plot. The dot plot has _____ dots. The dot plot has ______dots to the left of the center and dots to the right of the center. The center of the data set is ______________
Answer:
Wynn needs to find the center of the data set shown on the dot plot. The dot plot has ___15__ dots. The dot plot has ___7___dots to the left of the center and dots to the right of the center. The center of the data set is _______8_______
We have assumed that the dot plot has 15 dots for the purpose of solving this case.
Step-by-step explanation:
The center of the dot plot is obtained by subtracting 1 from the total dots and dividing the result by 2.
The center of data is a single number that summarizes the entire data set. It is called the Median. The median represents the midpoint value of a data set, where the values are arranged in ascending or descending order. Unlike the mean, the median can be used to find the center of data when the numbers in the data set contain one or more outliers.
It is one of the measures of central tendencies and the most accurate measure for that matter.
Wynn needs to find the center of the data set shown on the dot plot. The dot plot has 10 dots. The dot plot has 5 dots to the left of the center and dots to the right of the center. The center of the data set is 5.5.
To provide an accurate and complete response, I'll need to define a hypothetical dot plot. Let's assume we have a dot plot representing the following data set:
Now, let's break down the problem:
Number of dots on the dot plot:
- Count the total number of dots: [tex]\(1 + 1 + 1 + 2 + 1 + 1 + 2 + 1 = 10\)[/tex]
- So, the dot plot has 10 dots.
Finding the center of the data set:
- The center of the data set is determined by the median when the data is ordered. Since there are 10 data points (an even number), the median will be the average of the 5th and 6th values when sorted.
Sorted data: [tex]\(2, 3, 4, 5, 5, 6, 7, 8, 8, 9\)[/tex]
The 5th value is 5, and the 6th value is 6. Therefore, the median is:
[tex]\[ \text{Median} = \frac{5 + 6}{2} = 5.5 \][/tex]
Number of dots to the left and right of the center:
- Dots to the left of the median (5.5): [tex]\(2, 3, 4, 5, 5\)[/tex] (5 dots)
- Dots to the right of the median (5.5): [tex]\(6, 7, 8, 8, 9\)[/tex] (5 dots)
- The dot plot has 10 dots.
- The dot plot has 5 dots to the left of the center and 5 dots to the right of the center.
- The center of the data set is 5.5.
Quadrilateral BCDE is inscribed in circle A as shown. divides the quadrilateral into two triangles, ∆BCD and ∆BED. Which statement is true about the triangles?
A.
The angle bisectors and the perpendicular bisectors for both triangles intersect at the same point.
B.
The angle bisectors of ∆BCD intersect at the same point as those of ∆BED.
C.
The perpendicular bisectors of ∆BCD intersect at the same point as those of ∆BED.
D.
The angle bisectors of ∆BCD intersect at the same point as the perpendicular bisectors of ∆BED.
The correct option is C: The perpendicular bisectors of ∆BCD intersect at the same point as those of ∆BED.
Given is a quadrilateral BCDE is inscribed in circle A in which BD divides the quadrilateral into two triangles, ∆BCD and ∆BED.
[Refer to the figure attached]
If you draw a perpendicular bisector of a circle's chords, they will meet in the middle.
BCD, BC, CD, and BD are therefore circle chords in the triangle. At point O, the perpendicular bisector of BC, CD, and BD will intersect.
The chords of the circle are BED, BE, ED, and BD in the triangle. All of these chords will intersect at point O on a perpendicular bisector drawn from their points of origin.
Hence, the choice C is correct.
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Eva is at a sushi restaurant. She ordered 2 pieces of squid for a total of $3.50, 1 piece of eel for $3.25, 3 pieces of tuna for a total of $6.75, and 4 pieces of crab for $8.00. Which list shows the unit cost of each pieces of sushi from least to greatest? squid, crab, tuna, eel eel, squid, tuna, crab squid, eel, crab, tuna eel, tuna, crab, squid
Answer:
squid, crab, tuna, eel
Step-by-step explanation:
Just make each sushi piece into an equation, then solve it.
For example, for the squid: (s stands for squid)
[tex]2s = 3.5\\ s=1.75[/tex] Divide both sides by 2 to get "s" by itself
Eel: (e stands for eel)
e = 3.25
Tuna: (t stands for tuna)
[tex]3t=6.75\\ t=2.25[/tex] Divide both sides by 3 to get "t" by itself
Crab: (c stands for crab)
[tex]4c=8\\ c=2[/tex] Divide both sides by 4 to get "c" by itself
**Then order from least to greatest**
Answer: Squid crab tuna eel
Step-by-step explanation: I took the test :)
need help please! :(
The expressions below represent either exponential growth or exponential decay. Check all the expressions that represent exponential decay.
5^x
3(0.75)^2t
35(2.4)^x
5000(1.04)^3t
0.05^x
500(0.005)^t
Answer:
Answers B, E and F (1, 5 and 6).
Step-by-step explanation:
In an exponential equation, (y=ab^x), the "b" value must be a decimal less than 1 (but greater than 0) for it to be considered an exponential decay function. Only equations B, E and F have a "b" value that fits this criteria.
is 4.2123417... rational or irrational ?
Answer:
Irrational
Step-by-step explanation:
Any number that can be written as a fraction or a ratio is a rational number. The product of any two rational numbers is therefore a rational number, because it too may be expressed as a fraction. For example, 5/7 and 13/120 are both rational numbers, and their product, 65/840, is also a rational number.
An irrational number is a number that is NOT rational. It cannot be expressed as a fraction with integer values in the numerator and denominator. When an irrational number is expressed in decimal form, it goes on forever without repeating.
Answer:
Irrational
Step-by-step explanation:
It cannot be expressed as a fraction
Consider the two similar cylinders. The heights of both cylinders are given, along with the diameter of the smaller cylinder. What is the diameter of the larger cylinder?
Figures not drawn to scale
A.
28 inches
B.
20 inches
C.
18 inches
D.
16 inches
Answer:
the answer is C 18 inches
Step-by-step explanation:
first, set up a proportion as such:
32/12 = 48/x
next, cross multiply to get:
576 = 32x
and solve for x:
x = 18
hope this helps
Is -21 a rational number
-21 is an integer and all integers are rational numbers.
Remember, integers are the set of whole
numbers and their negative counterparts.
A suit case is a rectangular prism whose dimensions are 1 and 1/2 feet by 1 and 3/4 feet by 2 and 1/2 feet. Fond the volume of the suitcase. Enter the answer as a mixed number in simplest form.
Answer:
[tex]\frac{105}{16} ft^3[/tex]
Step-by-step explanation:
The suitcase is in the shape of a rectangular prism and we need to find the volume.
The volume of a rectangular prism is given as:
V = L * B * H
where L = length
B = breadth
H = height
The dimensions of the suitcase are [tex]1\frac{1}{2} ft[/tex] by [tex]1 \frac{3}{4} ft[/tex] by [tex]2 \frac{1}{2} ft[/tex]
Therefore, the volume of the suitcase is:
[tex]V = 1\frac{1}{2} * 1 \frac{3}{4} * 2 \frac{1}{2} \\\\V = \frac{3}{2} *\frac{7}{4} *\frac{5}{2} \\\\V = \frac{105}{16} ft^3[/tex]
The volume of the suitcase is [tex]\frac{105}{16} ft^3[/tex]
3(4x-10)=2(3x-30) i need help again i have to turn in all of my school work tomorrow so i don't fail the 8th grade
Answer:
The result for this equation is [tex]x = -5[/tex] .
Step-by-step explanation:
-Solve the equation:
[tex]3(4x-10)=2(3x-30)[/tex]
-Use Distributive Property:
[tex]3(4x-10)=2(3x-30)[/tex]
[tex]12x - 30=6x - 60[/tex]
-Subtract 6x and from 12x :
[tex]12x - 30 -6x=6x -6x - 60[/tex]
[tex]6x - 30=-60[/tex]
-Add both sides by 30:
[tex]6x - 30 +30=-60 +30[/tex]
[tex]6x =-30[/tex]
-Then, you divide both sides by 6:
[tex]\frac{6x}{6}=\frac{-30}{6}[/tex]
[tex]x = -5[/tex]
So, therefore the answer is [tex]x = -5[/tex] .
in a necklace there is one blue bead for every four yellow beads there are 15 beads altogether. a) how many blue beads are there? b) how many yellow beads are there? c) how can you check your answer..
Answer:
1) 3 beads
2) 12 beads
3) (4x3)+3=15
Step-by-step explanation:
Answer:
I would say 3 blue 12 yellow in my opinion. Have a great day
Step-by-step explanation:
Which expression is equivalent to (-4y-x)-(3y-9x)?
A) -7y-8x
B) -7y+8x
C) -y-10x
D) y+10x
Answer:B. -7y+8x
Step-by-step explanation:
hope this helps
We need a flower garden with a perimeter of 10 feet and an area of 4 square feet
Length : Feet
Width : Feet
use "guess and check" method if this is an elementary school question
guess length is 4 and width is 1
4 + 1 + 4 + 1 = 10
4 x 1 = 4
if this is a high school question, use the attached answer
what is (3.2x10 the 13th power) + (2.5 x 10to the 11th power)
Answer:3.225 times 10 to the 13th power= 32250000000000
Step-by-step explanation:
(3.2•10^13)+(2.5•10^11)
3.2000000000000+2.50000000000
He has a total of $45 to buy t tickets, each tickets cost $5
Answer:
He can buy 9 tickets
WILL MARK BRAINLIEST! PLZ HELP ASAP;;;
Answer:
(x, y) = (5, 7)
Step-by-step explanation:
It can be useful to put these equations into standard form, with mutually-prime coefficients and a positive x-coefficient.
10x +y -(4x +4y) = 9 . . . . . subtract the variable terms on the right
6x -3y = 9 . . . simplify
2x -y = 3 . . . . . divide by 3 to put in standard form
__
(x +10y) -(10x +y) = 18 . . . . . subtract the variable terms on the right
-9x +9y = 18 . . . simplify
x -y = -2 . . . . . . . divide by -9 to put in standard form
__
Now, we can subtract the second equation from the first.
(2x -y) -(x -y) = 3 -(-2)
x = 5
y = x+2 = 7 . . . from the second simplified equation
The solution is (x, y) = (5, 7).