The missing quantity is 100 books in the double number line.
What is the proportion?A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other. Proportions are represented by the symbols "::" or "=".
Let the missing quantity be x in the double number line.
According to the given condition, we can write the proportion would be as:
40 books : 2 boxes = x books : 5 boxes
⇒ 40 / 2 = x / 5
Apply the cross-multiplication operation,
⇒ 40 × 5 = 2x
⇒ 2x = 200
⇒ x = 200/2
⇒ x = 100
Therefore, the missing quantity is 100 books in the double number line.
Learn more about the proportion here:
brainly.com/question/1504221
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Neil's regular wage is $ 11 per hour. He gets $ 15.50 per hour for overtime. He was paid for 160 regular hours and 50 hours of overtime. How much was his total paycheck?
Answer:
$2535
Step-by-step explanation:
First, find the the pay he received for the regular hours worked. To find this, you must multiply the hours worked by his wage.
$11 × 160 = $1760
Next find the the pay received for overtime. Do the same process as above.
$15.50 × 50 = $775
Now that you have the pay for regular hours and overtime hours, add the two amounts together to find the amount for his total paycheck.
$1760 + $775 = $2535
A manufacturer needs to pay $300 to start making a certain new product. Besides the initial costs of $300, this product will also cost $18 per unit. The manufacturer wants to write an inequality to determine when the average cost per unit will be $24 or less.
Which inequality determines how many units (x) of the product need to be produced for the average cost to be $24 or less?
Answer:
[tex]\displaystyle \frac{300+18x}{x}\le 24[/tex]
Step-by-step explanation:
Average Cost
Making a certain new product costs $300 plus $18 per product.
The total cost for x products is given by:
300 + 18x
To get the average cost, we divide the total cost by the number of products manufactured:
[tex]\displaystyle A=\frac{300+18x}{x}[/tex]
If the manufacturer wants to keep the average cost at $24 or less:
[tex]\mathbf{\displaystyle \frac{300+18x}{x}\le 24}[/tex]
This is the required inequality
1 A baseball is struck such that its position on a plane perpendicular to home plate can be described by the equation y = (x - 175)2 + 121, where x is the horizontal distance from the plate in feet and y is the vertical distance also in feet 250 Determine the position of the ball when it is at its highest point.
Answer:
21
Step-by-step explanation:
On his diet, John's weight dropped from 200 to 178 pounds. What was the percent of decrease in his weight ?
Answer:
200-178=22
22/200*100=2200/200
2200/200=11
11%
Heather works as a waitress at her family’s restaurant. She works 4 hours every morning during the breakfast shift and returns to work each evening for the dinner shift. In the last four days, she worked 26 hours. If Heather works the same number of hours every evening, how many hours did she work during each dinner shift?
Answer:
5 hours
Step-by-step explanation:
she works 5 hours each dinner shift
If PQR = STU, find the measure of each part.
R
8 m
59°
P
7 m
g
75
T
U
The answer is below
Step-by-step explanation:
Two triangles are said to be congruent if for the two triangles all the three sides are equal and all the three angles are equal to each other.
Given that ΔPQR is congruent to ΔSTU, hence all corresponding sides and corresponding angles are equal to each other.
∠P = ∠S = 59°
∠S + ∠T + ∠U = 180° (sum of angles in a triangle)
59 + 75 + ∠U = 180°
134 + ∠U = 180°
∠U = 46°
∠U = ∠R = 46°
∠Q = ∠T = 75°
Also, for the sides:
ST = PQ = 7 m
SU = PR = 8 m
Choose the correct solution for this equation X/2-12 = 24
Answer:
Your answer would be x = -240
Step-by-step explanation:
1. First do 2-12 to get a denominator of -10.
2. Multiply -10 on both sides to get x = 24 * -10
3. Solve 24 * - 10 to get x = -240
B is between A and C. If AB = 2x + 1, BC = x, and AC = 22. Find AB.
Answer:
15
Step-by-step explanation:
AB + BC = AC
2x + 1 + x = 22
3x + 1 = 22
3x = 22 -1
3x = 21
x = 21/3
x = 7
AB = 2*7 +1
= 14 + 1
= 15
Which of the following does not cycle into the atmosphere? a. the carbon cycle b. the phosphorus cycle c. the nitrogen cycle d. the oxygen cycle Please select the best answer from the choices provided A B C D
Answer: b. the phosphorus cycle
Answer:
its B
Step-by-step explanation:
Solve y−4=3x+5y for y.
Answer:
-8y = 3x
Step-by-step explanation:
which equation best represents the relationship between X and Y in the table
Answer:
y=3x-2
Step-by-step explanation:
Answer:
y =2x -3
Brainiest pls :)
Ben is now 3 times as old as his brother Jerry. In 5 years, Ben will be twice as old as Jerry will be then. Find their present ages.
Answer:
30 I am a little confused
Match the reasons with the statements.
GIVEN: x2 + 6x + 2x + 12 = 0
TO PROVE: x = -6 or x = -2
1. x2 + 6x + 2x + 12 = 0 Combining like terms
2. x2 + 8x + 12 = 0 Distributive Postulate
3. (x + 6)(x + 2) = 0 Zero product postulate
4. x + 6 = 0 or x + 2 = 0 Subtraction property of equality
5. x = -6 or x = -2 Given
I WILL REPORT U IF U DONT ANSWER CORRECTLY AND FULLY!!!!
Answer:
Concept: Mathematical Derivation
We are given x^2 +6x+2x+12 Hence we simplify: x^2 + 8x +12 Now we factor: (x+2)(x+6) By mathematical logic we now proved that the roots are x=-2 and x=-6 Give brainlist and rate positivelyThe distance y (in centimeters) a spring is compressed by a force x (in kilograms) is given by
y = 0.065x.
Complete a table of values for
x = 20, 40, 60, 80, and 100
to determine the distance the spring is compressed for each of the specified forces.
Answer:
(x, y) = {(20, 1.3), (40, 2.6), (60, 3.9), (80, 5.2), (100, 6.5)}
Graph C represents the table of values
Step-by-step explanation:
To complete the table, substitute each value of x into the equation, [tex] y = 0.065x [/tex], to find each corresponding y-value.
Thus:
✔️When x = 20:
[tex] y = 0.065x [/tex]
[tex] y = 0.065(20) [/tex]
[tex] y = 1.3 [/tex]
✔️When x = 40:
[tex] y = 0.065x [/tex]
[tex] y = 0.065(40) [/tex]
[tex] y = 2.6 [/tex]
✔️When x = 60:
[tex] y = 0.065x [/tex]
[tex] y = 0.065(60) [/tex]
[tex] y = 3.9 [/tex]
✔️When x = 80:
[tex] y = 0.065x [/tex]
[tex] y = 0.065(80) [/tex]
[tex] y = 5.2 [/tex]
✔️When x = 100:
[tex] y = 0.065x [/tex]
[tex] y = 0.065(100) [/tex]
[tex] y = 6.5 [/tex]
✔️The graph of that represents this table of values is graph C. See attachment.
PLEASE HELP WILL GIVE BRAINLIEST AND 40 POINTS
Answer:
15. x+6+x+9+x+3=2(x+4+x+1)
3x+18=4x+10
x=8
16. 30x=10x+40
x=2
A student wrote the problem in the box on his homework paper.
Given:6-2(x+7)=10
Step 1: 6-2x+14=10
Step 2:20-2x=10
Step 3:-2x=10
Step 4:x=5
Answer:
fooooot
Step-by-step explanation:
ASAP SOMENW HELP ME PLS
Answer:
4.2
Step-by-step explanation:
Ok the points are (-1, 2) and (1, -2)
Put it in the formula
d = [tex]\sqrt{(1 - -1)^2 + (-2 - 2)^2} \\\sqrt{(2)^2 + (-4)^2} \\\sqrt{2 + 16} \\\sqrt{18} \\[/tex]
√18 = 4.2426 ≈ 4.2
Hope this helps ya!!
5<-2t-3 Need steps and the answer
Answer:
t<−4
Step-by-step explanation:
switch sides
-2t-3>5
then add three to both sides:
-2t-3+3>5+3
simplify:
-2t>8
then multiply both sides -1 (reverse the inequality)
(-2t)(-1) <8 (-1\)
simplify:
2t<-8
Divide both sides by 2:
2t/2 <-8/2
Answer:&&&&&&
SOrry dont know buddy
Step-by-step explanation:
i need the answer to this graph
Micah bought a couch for $450. If he had to pay 7% sales tax, how much total did he pay for the couch?
Answer:
$481.50
Step-by-step explanation:
(7/100)*(450)=31.50
31.50+450=481.50
In a lab experiment 2800 bacteria are placed into a petri dish the conditions are such thing as our bacteria able to double every five hours how many bacteria will be there after 19 hours to the nearest whole number
Answer:
39001
Step-by-step explanation:
A 2-column table with 5 rows. The first column, number of snapdragons, x, has the entries 11, 12, 13, 14. The second column, number of daisies, y, has the entries 34, 33, 32, 31.
Hans is planting a garden with snapdragons and daisies. The table shows some possible combinations of the two plants. If Hans plants 29 daisies, how many snapdragons will he plant?
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Answer:
16
Step-by-step explanation:
The values in each row of the table have a total of 45. If Hans plants 29 daisies, he likely will plant ...
45 -29 = 16 . . . snapdragons
__
One can also find the answer by extending the table 2 more rows. Each x entry increases by 1 as each y entry decreases by 1. Then the number of snapdragons listed in the second added row will be 14+2 = 16.
Answer:
x=45-y and 16
Step-by-step explanation:
Plz answer quickly will mark brainless
Answer:
652
Step-by-step explanation:
7*18*2=252 for right and left
8*18*2=288 for front and back
7*8*2=112 for top and bottom
252+288+112=652
(can I get brainliest now)
Answer: SA=652 ft^2
Step-by-step explanation:
144(2)+126(2)+56(2)=SA
288+252+112=SA
SA=652 ft^2
this might be wrong btw
Triangle A is reflected in the x axis to give triangle B, which is then reflected in the line y=x to give Triangle C. Draw Triangle C.
Answer:
The coordinates of triangle C on the grid are
(-5,4) , (-2,2) and (-2,4)
Step-by-step explanation:
We can identify the coordinates of the vertices of the triangles so as to get a diagram
For the first triangle, we have the following coordinates;
(4,5) , (2,2) and (4,2)
Now, let us get the coordinates of triangle B after reflecting triangle A in the x-axis
what we have in this case is that the x-axis coordinates stays same while the y-axis values are negated
Hence, the coordinates of triangle B are;
(4,-5) , (2,-2) and (4,-2)
Lastly we are to reflect triangle B in the line y = x so we get triangle C
A reflection over the line y= x means that we are going to switch the place of the x and y coordinates of the pre-image
So, the coordinates of triangle C are;
(-5,4) , (-2,2) and (-2,4)
The coordinates of triangle C are (-5,4) , (-2,2) and (-2,4)
From the given image the vertices of the triangles are
Triangle A has coordinates (4,5) , (2,2) and (4,2)
After reflecting triangle A in the x-axis, triangle B is obtained
On reflection in x-axis, the x-axis coordinates remain same while the y-axis coordinates become negative with the same magnitude.
Hence, the coordinates of triangle B are (4,-5),(2,-2) and (4,-2)
Now as triangle B is reflected by the line y = x to get triangle C, the x and y coordinates of triangle B are interchanged.
So, the coordinates of triangle C are (-5,4),(-2,2) and (-2,4)
Learn more about transformation by reflection on axis:
https://brainly.com/question/15476267
Find the area of the rhombus! Please help!
Answer:
100m
Step-by-step explanation:
First, find the area of one triangle. Use l*w/2 to do that.
10*5=50
50/2=25
Multiply this by 4 to get the total area
25*4=100
Have a good day!
a line passes through (3, -2) and (6, 2).
a. Write an equation for the line in point slope-form
b. rewrite the equation in standard form using integers
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Answer:
a) y +2 = (4/3)(x -3)
b) 4x -3y = 18
Step-by-step explanation:
a) The slope formula gives part of what is needed for point-slope form:
m = (y2 -y1)/(x2 -x1)
m = (2 -(-2))/(6 -3) = 4/3
Point-slope form is ...
y -k = m(x -h) . . . . . . for slope m and point (h, k)
Using the first point, we get ...
y +2 = 4/3(x -3)
__
b) Multiplying by 3 and eliminating parentheses, we get ...
3(y +2) = 4(x -3)
3y +6 = 4x -12
Adding 12 -3y to both sides gives ...
18 = 4x -3y
Putting this in the usual form, we have ...
4x -3y = 18
4.x + 7y = -23 8x + 5y = -1 using elimination
Answer:
Slope = 39.000/2.000 = 19.500
x-intercept = 1/234 = 0.00427
y-intercept = -1/12 = -0.08333
Step-by-step explanation:
Can You Guys Help Me Plz
Answer:
I'm pretty sure the answer is F
Answer:
IS F
Step-by-step explanation:
I already did this work.
If y=10x+0.08
Is this relationship proportional? At least 1 sentence explanation.
Answer:
No it is not proportional.
Step-by-step explanation:
Brad has recorded insect activity data for 40 days. He has recorded 1/6 of the data needed for his science fair project. How many total days does he need to record data? Write an equation and explain how you used it to find your answer
Answer:
40/6= 6.6667(20/3)
Step-by-step explanation:
I divided the number of days into 6.
Answer:
[tex]x = 240 days[/tex]
Step-by-step explanation:
If we know that Brad completes 1/6 of his project every 40 days, that means it will take him 40 x 6 days to complete this project. If where to write this down as an equation we get the following.
Let "x" be the total number of days Brad needs to finish his project, then....
[tex]\frac{1}{6} x = 40 days[/tex]
[tex](\frac{1}{6} x)(6) = (40)(6)days[/tex]
[tex]x = 240 days[/tex]