Answer:
20 children and 20 adults
Step-by-step explanation:
20 + 20 = 40
Answer:
20 adults 20 children
Step-by-step explanation:
if theres the same amount of children and adults just do 40/2
1. Convert the number to scientific notation.
265, 984, 325, 100
2.66 ×[tex]10^{11}[/tex]
Hope this helps
(-7)2 (-5)3= evaluate
Answer:
Step-by-step explanation:
(-7)2 (-5)3 = -14 * -15 = 210
An airplane is at an elevation of 4,280 ft. It ascends 500 ft and later descends1,500 ft. What is its final elevation?
Answer: 5280
Step-by-step explanation: just do 4280-500=3780
and then add 1500 to 3780 and you get 3180+1500=5280 wich is your answer
factor completely 3x^2+9x-3
3(x^2+3)
3(x^2+3-1)
3x(x^2+3x-1)
prime
Answer:
Answer from the answer data to choose from
3(x² + 3x - 1)Factor completely
[tex]3\left(x+\dfrac{3-\sqrt{13}}{2}\right)\left(x+\dfrac{3+\sqrt{13}}{2}\right)[/tex]
Step-by-step explanation:
[tex]3x^2+9x-3=(3)(x^2)+(3)(3x)-(3)(1)\\\\=(3)(x^2+3x-1)\\\\\text{For}\ x^2+3x-1\ \text{use the quadratic formula}\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x^2+3x-1\to a=1,\ b=3,\ c=-1\\\\x=\dfrac{-3\pm\sqrt{3^2-4(1)(-1)}}{2(1)}=\dfrac{-3\pm\sqrt{9+4}}{2}=\dfrac{-3\pm\sqrt{13}}{2}=-\dfrac{3\pm\sqrt{13}}{2}\\\\3x^2+9x-3=3\left(x+\dfrac{3-\sqrt{13}}{2}\right)\left(x+\dfrac{3+\sqrt{13}}{2}\right)[/tex]
Danielle can run one mile in 8.835 minutes Alex can run 1 mile and 9.75 minutes how much longer in minutes does it take for Alex to run 1 mile that it takes Danielle
Answer:
0.915 minutes
Step-by-step explanation:
First, take the 9.75 minutes that it takes Alex and the 8.835 minutes it takes Danielle.
Second, line up the numbers annexing zeros as placeholders as needed.
Third, subtract them
9.750
-8.835
-----------
0.915
Find the total cost to the nearest cent.
$9,000 car: 5% sales tax
Answer:
$9,450.00
Step-by-step explanation:
to take sales tax, you convert the % into a decimal ( in this case 5% is equal to 0.05) and multiply that by the cost of the product:
9,000 x 0.05 = 450
that is the amount that you pay in tax. In order to get the entire total add that amount to the original price:
9,000 + 450 = 9,450
x square= 121 can anyone solve it
Answer:
Picture is the answer.
Step-by-step explanation:
If x= –4 and y= 3 , what is the value of x–3y2 ?
Answer:
-31
Step-by-step explanation:
(-4)-3(3)^2
-4-3(9)
-4-27=-31
Hey!
---------------------
Solution:
= x - 3y²
= (-4) - 3(3)²
= (-4) - 27
= -31
---------------------
Answer:
-31
---------------------
Hope This Helped! Good Luck!
Which is the graph of linear inequality 2y > x – 2?
On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the right of the line is shaded.
On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the left of the line is shaded.
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the left of the line is shaded.
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the right of the line is shaded.
Answer:
Option 3
Step-by-step explanation:
Given : Linear inequality [tex]2y>x-2[/tex]
To find : Which is the graph of linear inequality ?
Solution :
Linear inequality [tex]2y>x-2[/tex]
First we figure out the slopes and coordinates through which it pass.
The linear equation is [tex]2y=x-2[/tex]
The general slope form of line is [tex]y=mx+c[/tex]
Where, m is the slope and c is the y-coordinate
Re-write the equation [tex]y=\frac{1}{2}x-1[/tex]
On compare,
Slope is positive [tex]m=\frac{1}{2}[/tex]
The y-coordinate is (0,-1)
For x-coordinate put y=0,
[tex]2(0)=x-2[/tex]
[tex]x=2[/tex]
The x-coordinate is (2,0).
Now, Plotting the linear inequality and mark the point (-4,-3).
Refer the attached figure below.
We get, On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the left of the line is shaded.
Therefore, Option 3 is correct.
Final answer:
The correct graph of the linear inequality 2y > x - 2 will be represented by a dashed line with a positive slope, where the shaded area is above the line representing all points where y is greater than 0.5x - 1. Thus, option 3 is correct.
Explanation:
The graph of the linear inequality 2y > x – 2 must be represented by a dashed line because the inequality is strict (does not include the line itself). First, we should identify whether the line is dashed or solid and the slope of the boundary line from the equation. Since it is a 'greater than' and not 'greater than or equal to' inequality, the line will be dashed. Now let's rearrange the inequality to the slope-intercept form, which is y = mx + b, to find the slope and y-intercept:
2y > x – 2
y > 0.5x - 1
Here, the slope (m) is positive, which is 0.5, and the y-intercept (b) is -1. Therefore, the line rises by 0.5 on the y-axis for every increase of 1 on the x-axis. The y-intercept tells us the line will cross the y-axis at (0, -1). Hence, the line will have a positive slope, and the shaded region should be above the dashed line indicating all points where the y-values are greater than those on the line.
-2(4-1) = -16 +y
What does y equal
Answer:
10
Step-by-step explanation:
[tex]-2(4-1) = -16 +y\\-2(3) = -16 +y\\-6 = -16 +y\\y = 16 - 6\\y = 10[/tex]
23. The price of jeans was reduced $6 per week
for 7 weeks. By how much did the price of
the jeans change over the 7 weeks?
Answer:
$42
Step-by-step explanation:
Every week, the price of jeans reduced by $6.
The total value of price reduction over the 7-week period can be calculated as the product of price reduction per week and the number of weeks. Thus,
Total price reduction = price reduction per week x number of weeks
= $6 x 7
=$ 42
A number cube, labeled 1 to 6, is rolled once. What is the theoretical probability that a 4 is rolled
Answer:
1 out of 6 chance
Step-by-step explanation:
Since there are 6 possible numbers that could be rolled, and 1 number, the number 4, the chances are a 1 out of 6 chance.
find the value of 15 minus 8 divided by 2
Answer:
3.5
Step-by-step explanation:
15 - 8 = 7
7 / 2 = 3.5
What is the simplified version of 127/30
Answer:
Step-by-step explanation:
The simplified version of 127/30 is 4 7/30 (mixed number)
127/30 is basically 127 divided by 30, so if you divide 127 by 30, you get 4 and a remainder of 7. WAIT! That's not where I stop. The quotient is the whole number, the remainder is the numerator, and the divisor is the denominator. Therefore, the simplified version of 127/30 is 4 7/30.
Answer:
4 7/30
Step-by-step explanation:
This is an improper fraction.
30 goes into 127 four times with 7 left over.
You place 7 over the original denominator of 30
7/30 is a reduced fraction so ...
4 and 7/30 is your answer.
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Bob cycles 5.4 km every morning. How many feet are in 5.4 km, given that 1 mile = 1.609 km and 1 mile =5,280 feet?
Answer:
17720 feet
Step-by-step explanation:
5.4 km × (1 mile / 1.609 km) × (5280 feet / mile) ≈ 17720 feet
Answer:
17,720.32
Step-by-step explanation:
Divide 5.4 by 1.609 x 5,280 = 17,720.32
whats the place value of 9,275 and 9,527
Answer:
The nine in 9275 is the thousands, the 2 in 9275 is the hundreds and the 7 in 9275 is the tens and the 5 in 9275 is the ones so try the second one u got this
Can you help and when you answer please put down the letter of the question you are answering
Answer:
a. 10 5/8
b. 1 4/9
c. 5 7/12
d. 17 5/6
e. 5 1/10
f. 4 7/8
g. 133 3/8
h. 24 11/12
i. 19 7/10
j. 11 5/12
k. 1 5/12
l. 13 7/9
Step-by-step explanation:
Hello! The step by step solution is to simply add them together. Let's take a. 7 3/8 + 3 1/4 for an example. Change the denominator (the bottom number of the fraction) into something both can go into. 4 can go into 8 and 8 can go into 8. Rewrite the fractions beside the actual numbers. Example: /8 and /8 then remember, 4 goes into 8 two times. So do 1x2=2. Then remember 8 goes into 8 1 time so do 3x1=3. Add the two fractions 3/8+2/8= 5/8. Then add the whole numbers as well. 7+3+5/8= 10 5/8. I know that it's really confusing explaining it through words but if you ever need further explanation don't hesitate to ask! :)
Sketch a rectangle and label its dimensions that meets the following conditions perimeter 18 area 20
Answer:
4 units by 5 units
Step-by-step explanation:
To solve this problem, then we must develop two equations; one for the perimeter and another for the area of the rectangle.
The perimeter of a rectangle = 2(L +B)
The area of a rectangle = L x B
Let the length be represented by L while the breadth is denoted by B. Then, our equations are
2L + 2B =18 --- eq 1
and
LB = 20 ----- eq 2
From eq 2, then L = 20/B
We shall substitute this in equation 1 such that
2(20/B) + 2B =18
= 40/B + 2B = 18
= 40/B + 2B/1 = (40 + 2B^2) /B =18
We do cross multiplication by multiplying both sides of the equation by B.
We get
40 + 2B^2 = 18B
We then rearrange the equation as 2B^2- 18B + 40 = 0
Dividing both sides by 2, we get B^2- 9B =20 =0
We shall get the roots of the equation to be -4 and -5. Why?
-4B-5B =-9 and -4x-5 =20
Thus, B^2- 9B =20 =0 can be reworked as
(B-4) (B-5)= 0 From B-4=0, B= 4
From LB =20, If B =4, then L =20/4 = 5
From B-5=0; B=5
From LB =20, If B=5, L = 20/5 = 4
Thus, the dimensions of the rectangle are 5 units and 4 units.
Round the following numbers to 1 decimal place,
a)
68.75
b)
5.894
c) 634.9201
d)
89.99
Final answer:
The numbers 68.75, 5.894, 634.9201, and 89.99 when rounded to one decimal place become 68.8, 5.9, 634.9, and 90.0 respectively.
Explanation:
The student is asking for rounding to one decimal place. Here is how you round the given numbers:
68.75: The digit after the decimal point to keep is 7. The next digit is 5, so we round up. The result is 68.8.5.894: The first decimal digit is 8, and the next digit is 9, so we round up. The answer is 5.9.634.9201: After the decimal, the first digit is 9 and the next digit is 2, which does not affect the rounding. Therefore, we get 634.9.89.99: The first decimal digit is 9. The next digit is also 9, so we round up. This gives us 90.0.What else would need to be congruent to show that ABC = XYZ by ASA?
Given:
Z=C
CB=ZY
A. Y=B
B. AC=XZ
C. BC=YZ
D Z=A
The answer would be A because line CB is equivalent to ZY tight? And angles Z and C are congruent. We also know that they are congruent by a ASA relationship, so then angles Y and B are congruent, the answer is A.
To establish that triangles ABC and XYZ are congruent by ASA, we need two pairs of angles and one pair of sides to be congruent. Given that angle Z equals angle C, side CB equals side ZY, the missing piece is option D: Z equals A.
Explanation:In the problem statement, we're given that triangle ABC = XYZ by ASA, which stands for Angle-Side-Angle congruence. To establish this, we require two angles and one side of the triangle to be congruent. The given details tell us that angle Z is congruent to angle C, and side CB is congruent to side ZY.
To complete the ASA proof, we need another pair of angles to be congruent. Based on the options presented in the question, option D Z=A will fulfill this requirement, thereby proving ABC = XYZ by ASA.
Learn more about Triangle congruence here:https://brainly.com/question/37517155
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Hanna shops for socks that cost $2.99 for each pair and blouses that cost $12.99 each. Let x represent the number of pairs of socks purchased, and let y represent the number of blouses purchased. Which equation models the purchases she made with $43.92?
x + y = 15.98
x + y = 43.92
43.92x - 2.99y = 12.99
2.99x + 12.99y = 43.92
Answer:
2.99x + 12.99y = 43.92
Step-by-step explanation:
Because, 2.99 is for each pair of socks and she bought x number of that. Same for 12.99 (Y).
In conclusion her total was 43.92 and she could have bought many socks as she'd like and blouses.
These calculations are 100% correct! :)
Answer:
D.
Step-by-step explanation:
Oh Edge
3(x - 6) + 6 = 5x - 6. what is the solution
Answer:
x=-3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(x−6)+6=5x−6
(3)(x)+(3)(−6)+6=5x+−6(Distribute)
3x+−18+6=5x+−6
(3x)+(−18+6)=5x−6(Combine Like Terms)
3x+−12=5x−6
3x−12=5x−6
Step 2: Subtract 5x from both sides.
3x−12−5x=5x−6−5x
−2x−12=−6
Step 3: Add 12 to both sides.
−2x−12+12=−6+12
−2x=6
Step 4: Divide both sides by -2.
−2x
−2
=
6
−2
x=−3
Answer: x = -3
Step-by-step explanation:
1. Distribute the 3 into the parenthesis
3x - 18 + 6 = 5x - 6
2. Combine like terms (on the left side of the equation
3x - 12 = 5x - 6
3. Add 6 to both sides to get rid of the -6 on the right side
3x - 6 = 5x
4. Subtract 3x from both sides to get rid of the 3x from the left side
-6 = 2x
5. Divide both sides by 2
-3 = x
send help plzzzzz •~•
b.3/5
c.three
d.three
1 3
- * -
5 5
the reason the bottom is 5 is bc its was a number
6. Dakota got a job at IKEA. He will be getting paid $4.25 per hour for testing the sofas and beds. How much will he earn
for 7 hours of hard work testing those sofas and beds?
Answer:
Yeah so its obvious
Step-by-step explanation:
you just multiply 7 x 4.25
Dakota will earn $29.75 for 7 hours of work at IKEA, by multiplying his hourly wage of $4.25 by 7 hours.
Dakota will be getting paid $4.25 per hour for testing sofas and beds at IKEA. To find out how much Dakota will earn for 7 hours of work, we simply need to multiply the hourly wage by the number of hours worked. The calculation is as follows:
Calculation
Hourly Wage: $4.25
Hours Worked: 7 hours
Total Earnings = Hourly Wage imes Hours Worked
= $4.25 times 7
= $29.75
Therefore, Dakota will earn $29.75 for 7 hours of work testing sofas and beds.
Nando is on a rehabilitation program following a car accident. For the first month, he needs to exercise at most five hours per week and must burn at least 2,000 calories per week. The exercise he is allowed to
do is brisk walking which burns about 350 calories per hour and biking at a moderate pace which burns
about 700 calories per hour. Which graph best represents the set of all points that satisfy the system
representing Nando's exercise options?
Answer:
See explanation
Step-by-step explanation:
Let x be the number of hours per week Nando is brisk walking and y be the number of hours per week Nando is biking at a moderate pace.
For the first month, he needs to exercise at most five hours per week, then
[tex]x+y\le 5[/tex]
Brisk walking burns about 350 calories per hour, then it burns 350x calories per x hours.
Biking at a moderate pace burns about 700 calories per hour, then it burns 700y calories per y hours.
Nando must burn at least 2,000 calories per week, so
[tex]350x+700y\ge 2,000[/tex]
You get the system of two inequalities:
[tex]\left\{\begin{array}{l}x+y\le 5\\ 350x+700y\ge 2,000\end{array}\right.[/tex]
The attached graph shows the solution set to this system of inequalities. In this diagram, red region represents the solution set to the first inequality, blue region represents the solution set to the second inequality and their intersection is the solution set to the system of two inequalities.
OMG PLZ HELP RN
Five-eighths of a number decreased by twelve is the same as one-half of the number increased by two.
5/8x-12=1/2x+2
What is the answer?
Answer:
112
Step-by-step explanation:
The number is 112 if Five-eighths of a number decreased by twelve is the same as one-half of the number increased by two the answer is 112.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
Five-eighths of a number decreased by twelve is the same as one-half of the number increased by two.
Let x be the number:
From the question:
(5/8)x - 12 = (1/2)x + 2
The above equation is a linear equation in one variable:
After solving:
(5/8)x - (1/2)x = 12 + 2
(5-4)x/8 = 14
x = 14×8
x = 112
Thus, the number is 112 if Five-eighths of a number decreased by twelve is the same as one-half of the number increased by two the answer is 112.
Learn more about the linear equation here:
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HURRY BEIN TIMED I NEED HELP QUICK!!!!!!
A coordinate grid with 2 lines. One line, labeled f(x) passing through (negative 3, 3), (0, 3), and the point (4, 3). The other line is labeled g(x) and passes through (negative 4, negative 3), (0, 0), and the point (4, 3).
Which input value produces the same output value for the two functions on the graph?
x = −1
x = 0
x = 3
x = 4
Answer: x = 4
Step-by-step explanation:
Given : A coordinate grid with 2 lines.
One line, labeled f(x) passing through (- 3, 3), (0, 3), and the point (4, 3). (i)
The other line is labeled g(x) and passes through (- 4, -3), (0, 0), and the point (4, 3). (ii)
We generally denote x values as input values and y values as output values.
From (i) and (ii), the common point on both lines = (4,3)
Here, input value = 4
Output value = 3
Hence, the input value produces the same output value for the two functions on the graph : x=4
1. What number divided by 4 1/5 is of 100?
Answer:
420
Step-by-step explanation:
Let the number be x
x / (4 1/5 ) = 100
x / (21/5 ) = 100
x = 100 * (21 / 5) = 20 * 21 = 420
What’s the volume of a cone with a radius of 3cm and a height of 4.5cm
Answer:
42.41
Step-by-step explanation:
V=π[tex]r^{2}[/tex][tex]\frac{h}{3}[/tex]=π * [tex]3^{2}[/tex] * ≈ 42.4115
The volume of a cone with a radius of 3cm and height of 4.5cm is approximately 42.41 cubic centimeters.
The volume (V) of a cone can be found using the formula: V = (1/3)πr²h, where r is the radius of the base and h is the height of the cone. To find the volume of a cone with a radius of 3cm and a height of 4.5cm, we substitute these values into the formula:
V = (1/3)π(3cm)²(4.5cm)
Calculating this further:
V = (1/3)π(9cm²)(4.5cm)
V = (1/3)π(40.5cm³)
V ≈ (1/3)(3.14159)(40.5cm³)
V = 42.41cm³
Therefore, the volume of the cone is approximately 42.41 cubic centimeters.
what is 7.56 in fraction form
Answer:
Step-by-step explanation:756/100
Answer:
756/100
189/25 (simplest form)
7 14/25 ( mixed number)
Step-by-step explanation:
To write 7.56 as a fraction you have to write 7.56 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
7.56 = 7.56/1 = 75.6/10 = 756/100