Answer:
Numbers are 6 and 17.
Step-by-step explanation:
Let the two numbers are 'a' and 'b'.
"Sum of these numbers = 23"
a + b = 23 --------(1)
"One number is 7 less than 4 times the other"
a = 4b - 7 ---------(2)
Substitute the value of 'a' in equation (1) from equation (2)
(4b - 7) + b = 23
5b - 7 = 23
5b = 23 + 7
5b = 30
b = 6
From equation (2),
a = 4b - 7
a = 4×6 - 7
a = 24 - 7
a = 17
Therefore, the numbers are 6 and 17.
Answer: 7 and 16
Step-by-step explanation:
Let x be the smaller of the two numbers. We are told that the larger number is five less than three times the smaller number x. Therefore, our two numbers are x and 3x−5. Given that the sum is 23, we find that
x+(3x−5)=23
Solving for x, we find that x=7. So the two numbers are 7,16.
Which of these shapes have rectangular cross sections when they are cut perpendicular to the base? Select three options
rectangular prism
triangular prism
cylinder
cone
square pyramid
triangular pyramid
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Answer:
I think it might be A, B, and E but I am not 100% sure.
Step-by-step explanation:
The figures are rectangular prism, cylinder, and square pyramid.
What is the volume of a prism?A three-dimensional solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles.
The volume of a prism is the product of its base area and height
Volume of Prism = B x h
where B = base area of prism
h = height of prism
Given data ,
The rectangular prism, cylinder, and square pyramid have rectangular cross sections when they are cut perpendicular to the base.
A rectangular prism has a rectangular cross section no matter where it is cut perpendicular to the base.
A cylinder has a circular base, but when it is cut perpendicular to the base, the cross section is a rectangle.
A square pyramid has a square base, and when it is cut perpendicular to the base, the cross section is also a rectangle.
A triangular prism has a triangular base, and when it is cut perpendicular to the base, the cross section is a triangle, not a rectangle.
A cone has a circular base, and when it is cut perpendicular to the base, the cross section is a circle, not a rectangle.
A triangular pyramid has a triangular base, and when it is cut perpendicular to the base, the cross section is a triangle, not a rectangle.
Hence , the three options that have rectangular cross sections when cut perpendicular to the base are: rectangular prism, cylinder, and square pyramid.
To learn more about volume of prism click :
https://brainly.com/question/11336446
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This year,a small business had a total revenue of 89,100. If this is 32% more than their total revenue the previous year, what was their total revenue the previous year
Answer: 60588
Step-by-step explanation:
= 89100 x 0.68
= 60,588
The first quartile of the data set below is
32, 13, 46, 28, 51, 62, 19, 38, 73, 47
our answer
Answer:
28
Step-by-step explanation:
When you put the numbers in order and then cut into 4 equal parts 28 is the first cut
sorry idk if that made sense or not
What is the length of the arc that measures 60° for the given circle?
A)
5π
2
cm
B)
5π
3
cm
C)
10π
3
cm
D)
10π
9
cm
It also says the radius is 10
Could you show the given circle please?
Answer: The answer is C.
Step-by-step explanation: I just did it
please help. I am being timed
Points from correct answers: 8*10=80
Incorrect answers: 18*5=90
So total points is -10 points
Find the perimeter of a quadrilateral with vertices at C (−1, 2), D (−2, −1), E (2, −2), and F (1, 1). Round your answer to the nearest hundredth when necessary.
PLEASE answer quick, I need this in the next 15 minutes
Answer:
11.5214512633
Step-by-step explanation:
Add up all the sides, using Pythagorean theorem for each side by finding the difference in horizontal and vertical coordinates.
CD: [tex]\sqrt{\left(2-\left(-1\right)\right)^{2}+\left(\left(-1\right)-\left(-2\right)^{2}\right)}[/tex] = 2
CF: [tex]\sqrt{\left(1-2\right)^{2}+\left(1-\left(-1\right)\right)^{2}}[/tex] = 2.2360679775
EF: [tex]\sqrt{\left(2-1\right)^{2}+\left(-2-1\right)^{2}}[/tex] = 3.16227766017
DE: [tex]\sqrt{\left(2-\left(-2\right)\right)^{2}+\left(\left(-2\right)-\left(-1\right)\right)^{2}}[/tex] = 4.12310562562
add them all up 11.5214512633
question in attachment
Answer:
a₁ = 3
Step-by-step explanation:
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]
where a₁ is the first term and r the common ratio
Here [tex]S_{6}[/tex] = 189 and r = 2, thus
[tex]\frac{a_{1}(2^{6}-1) }{2-1}[/tex] = 189, that is
a₁( 64 - 1) = 189
63a₁ = 189 ( divide both sides by 63 )
a₁ = 3
12. Building codes regulate the steepness of stairs. Homes must have steps that are at least 13 inches wide for each 8 inches
that they rise.
a. Discuss how to find the slope of the stairs.
b. Describe how changing the width or height affects the steepness of the stairs.
Answer:
Slope tells you about the steepness of a line. It can is the ration of vertical change to horizontal change and you can solve this by using the slope formula:
a. So in your case, starting from the bottom, the slope is:
If you want to use coordinates, you can think of the first point (bottom of the stairs} would be at the point of origin (0,0). The next point would be at the top of the first stair 13 inches wide (horizontal or x) and 8 inches high (vertical or y)
So the coordinates of the two points would be:
(0,0) and (13, 8)
Using the formula we would have:
b. Looking at the answer above, you can see that the slope with increase if the vertical change is greater, so if you increase the height of the stairs, the stair would be steeper. The opposite is true if you would increase the width.
However, if you proportionally increase the width and the height, then the slope will remain the same.
Step-by-step explanation:
A circular lawn has a row of bricks around the edge. The radius of the lawn is about 20 feet.
Which is the best estimate for the area of the grass in the lawn? Use 3.14 for π. Select One.
125 feet
125 square feet
1250 feet
1256 square feet
Answer:1256
Step-by-step explanation:
You need to find the area which is Area=3.14xradiusxradius
So in short hand A=3.14x20x20 which is 1256 feet
Please !!!!!! Help me
Answer:
a. 1 b. 3/5 or 60%
Step-by-step explanation:
number of favourable events/number of total events
3x/5x = 3/5
what is the answer to 23×-5
Answer:
23×-5
= -115
The answer is -115, easy peasy
Use the discriminant to determine the number of real solutions to the quadratic equation. −100a2+20a−1=0 What is the number of real solutions? Select the correct answer below: 0 1 2
Answer:
1 real solution
Step-by-step explanation:
20² - 4 (-100) (-1)
400 - 400
0
When the discriminant is 0, there is one real solution.
Answer:
1 real solution
Step-by-step explanation:
20² - 4 (-100) (-1)
400 - 400
0
Use Pythagorean’s Theorem
Answer:
x =3.9
Step-by-step explanation:
Since this is a right triangle we can use the Pythagorean theorem
a^2 + b^2 =c^2
x^2 + (5x)^2 = 20 ^2
x^2 + 25x^2 = 400
Combine like terms
26 x^2 = 400
Divide each side by 26
x^2 = 400/26
Take the square root of each side
sqrt(x^2) = sqrt(400/26)
x = sqrt(400/26)
x =3.922322703
Rounding to the nearest tenth
x =3.9
Answer:
3.9
Step-by-step explanation:
:)
What is the definition of “slope of a ramp using trigonometry ?”
Answer:
Step-by-step explanation:
it is the tangent of the angle slope makes with the horizontal.
Plz help me it’s emergency
Answer:
idk
Step-by-step explanation:
1/4 can also be written as .25
1 divided by 4 is .25
114 times .25 = answer
154 times .25 = answer
A survey was taken of a random sampling of residents of New York City and Los Angeles to compare how many of them own a car. A 4-column table with 3 rows. The first column has no label with entries L A residents, N Y C residents, total. The second column is labeled own a car with entries 3,251; 1,478, 4,729. The third column is labeled do not own a car with entries 869; 6,182; 7,051. The fourth column is labeled total with entries 4,120; 7,660; 11,780. Which statement about the two-way frequency table is true? The survey represents quantitative data. There is a greater percentage of LA residents who own a car than NYC residents who do. The total number of people in the poll who own a car is 4,120. More people in the poll own a car than do not own a car.
Answer:
The correct option is;
There is a greater percentage of LA residents who own a car than NYC residents who do
Step-by-step explanation:
The values are presented as follows;
LA residents who own a car = 3251
NYC residents who own a car = 1478
Total residents who own a car = 4729
LA residents who do not own a car = 869
NYC residents who do not own a car = 6182
Total residents who do not own a car = 7051
Total LA residents sampled = 4120
Total NYC residents sampled = 7660
Total residents of both cities sampled = 11780
Percentage of LA residents who own a car = (3251/4120)×100 = 78.9%
Percentage of NYC residents who own a car = (1478/7660)×100 = 19.3%
The total number of people in the poll who own a car = 4729
Therefore, the correct option is that there is a greater percentage of LA residents who own a car than NYC residents who do.
Answer: B. There is a greater percentage of LA residents who own a car than NYC residents who do.
3x+4=9x+3? I dont understand. Write as a fraction please
Answer:
x = 1/6 =0.167
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*x+4-(9*x+3)=0
Step by step solution :
Step 1 :
Solving a Single Variable Equation :
1.1 Solve : -6x+1 = 0
Subtract 1 from both sides of the equation :
-6x = -1
Multiply both sides of the equation by (-1) : 6x = 1
Divide both sides of the equation by 6:
x = 1/6 = 0.167
One solution :
x = 1/6 = 0.167
Answer:
1/6
Step-by-step explanation:
Step 1: Subtract 9x from both sides.
3x+4−9x=9x+3−9x
−6x+4=3
Step 2: Subtract 4 from both sides.
−6x+4−4=3−4
−6x=−1
Step 3: Divide both sides by -6.
−6x -1
------- = ----------
-6 -6
x=1/6
Which temperature is closest to room temperature?
a) 35°F b) 65°F c) 120°F d) 200°F
Answer:
b) 65f
Step-by-step explanation:
Answer:
b. 65° F
Step-by-step explanation:
option B is correct answer
Order the expressions from the least to the greatest
-2, -2.2, 5, 2, 2.2, -5
Answer:
-5, -2.2, -2, 2, 2.2, 5
Step-by-step explanation:
-5
-2.2
-2
2
2.2
5
Answer:
-5
-2.2
-2
2
2.2
5
What is the answer for 9+10x=9?
Answer:
x=0
Step-by-step explanation:
Answer:
x=0
Step-by-step explanation:
9+10x=9
10x=9-9
10x=0
x=0
What is the perimeter of ΔWXY? 11.57 cm 12.22 cm 12.46 cm 14.50 cm
°ω°
Answer:
the answer is 14.50 cm
Step-by-step explanation:
i took the test, and found this answer by multiplying the given information: 2.93, 2.04, and 2.28 by 2 and then adding them together. that will then give you 14.5. i did it this way because we are dealing with midsegments in this problem. this is just my way of doing it. have a great day!
Answer:
D. 14.50 cm
Step-by-step explanation:
−2⋅f(−6)−7⋅g(−7) = ?
Answer: +12f +49g
-2f(-6)-7g(-7)
No if your looking for the graph answer on Khan academy then it's 11
Which is the coefficient in the expression 7x + 14?
Answer:
coefficient is x
Step-by-step explanation:
please mark as brainliest and follow me !!!!.....
Write an equation to represent the total cost for a certain number of cans. Use “c” for cost and “n” for number of cans.
Answer:
C = 1.25n
Step-by-step explanation:
From the given table,
There is a common difference of $1.25 in every successive term to the previous term of the total cost,
Difference in the costs of 2 cans and 1 can = $2.50 - $1.25 = $1.25
Similarly, Difference in the costs of 3 cans and 2 cans = $3.75 - $2.50 = $1.25
Total cost of the cans are forming an Arithmetic sequence, explicit formula the sequence will be,
[tex]T_n=a+(n-1)d[/tex]
= 1.25 + (n -1)(1.25)
Or, C = 1.25 + 1.25n - 1.25
C = 1.25n
select the two valuse of x that are roots of this equation. x^2+2x-5=0
Answer:
1 + sqrt(6)
You can't factor this by itself so you have to use the quadratic formula
Step-by-step explanation:
a number t decreased by 2 is at least 7
Esteban's credit card issuing bank charges him an APR of 16% on new purchases, and 24% on
cash advances. What would the bank charge Esteban monthly in finance charges for a $700 cash
advance?
Answer: $14
Step-by-step explanation:
Hi, to answer this question we have to multiply the amount of the cash advance (700) by the APR for cash advances in decimal form (divided by 100):
700 x (24/100) = $168 (a year)
To obtain the monthly charges, we have to divide the result by the number of months in a year (12):
168 /12 = $14
Feel free to ask for more if needed or if you did not understand something.
Somebody please help me thank
Answer:
Step-by-step explanation:
[tex]5.003*10^{9}=5,003,000,000[/tex]
5.003* 10⁹ < 5,083,000,000
help plz you got to help me
Answer:
$6.88
Step-by-step explanation:
$5.99(12 months) = $71.88 per year
$71.88 - $65 = $6.88
using graphing paper,determine the line described by the given point and slope
click to show the correct graph below (0,6) and -1
Answer:
-3, -2
count the lines based on the x-axis and y-axis
remember that the x-axis comes before the y-axis
please mark me as brainliest :)
Answer:Answer:
-3, -2
count the lines based on the x-axis and y-axis
remember that the x-axis comes before the y-axis
please mark me as brainliest :)
Step-by-step explanation: