Yo sup??
let the number of pencils and pens be 8x and 14x
x=2
therefore the number of pens and pencils are
16 pencils and 28 pens
Hope this helps
As the actual no. of pencils is double than that of the given ratio it is
C. 16 pens, 28 pencils
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, The ratio of pencils to pens in the drawer is 8 : 14, so for every 14 pencils, there are 8 pens.
Given, there are actually twice as many pencils as in the ratio.
Therefore actual no. of pencils are (2×14) = 28 pencils.
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The value of 3over2 + 3over3 = ___.
Answer:
15/6 or 2.5
Step-by-step explanation:
Step 1: Convert words into an expression
The value of 3over2 + 3over3 = ___.
3/2 + 3/3 = ?
Step 2: Make common denominators
3/2 * 3/3 = 9/6
3/3 * 2/2 = 6/6
Step 3: Add
9/6 + 6/6
15/6
Answer: 15/6 or 2.5
is this true or false
Answer:
true is the answer off this question
Answer:
True
Step-by-step explanation:
3n would mean 3 times n where 3 is the coefficient.
Which equation is equivalent to the square root of x^2 + 81 = x + 10 (I put a picture up with the question and answers)
Answer:
See below
Step-by-step explanation:
sqrt(x^2+81)=x+10
x^2+81=x^2+20x+100 (which is one of the options)
81=20x+100
-19=20x
x=-19/20
So there's the work done.
At a baseball game, a vendor sold a combined total of 232
sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.
Answer:
Step-by-step explanation:
sodas ----x
hot dogs ---- y
x = 2y
x+y = 192
2y + y = 192
3y=192
y = 64
64 hotdogs and 128 sodas
When a function goes through the origin how can I find the slope
Answer:
m= y/x
Step-by-step explanation:
The equation to find the slope (m) is to determine 2 points then divide the difference of y-coordinates with the x-coordinates.
The equation will look like this:
m= (y2-y1)/(x2-x1)
When a function goes through the origin(0, 0), that means the line doesn't have c variable, the equation of the line will be as simple as y=mx
Then the equation to find the slope(m) will be:
y=mx
m=y/x
You can directly divide y-coordinate with x-coordinate to find the slope.
Finding Side Lengths
2 in.
xin.
These two figures are the image and pre-image of a
dilation
Find the lengths of the missing sides.
4 in.
5 in.
Answer:
x = 2.5y = 5Step-by-step explanation:
As the two figure are the image and pre-image of a dilation.
Considering the left sided triangle is original and right sided triangle ( smaller one) is the image.
As one of the sides of the left triangle (original figure) is 4 in. And the corresponding length of the side on the right triangle (image of the figure) is 2 in.
It means the image of the side (2 in) is obtained when the side (4 in) of the original object is dilated by a scale factor of 1/2. In other words, the side of the image (2 in) is obtained multiplying the side (4 in) of original figure by 1/2. i.e. 4/2 = 2 in
Lets determine the missing side of the right side triangle by the same rule.
As the original object has one of the sides is 5 in and the corresponding side of the image has x in. As the original figure is dilated by a scale factor of 1/2. so the missing side of x will be: x = 5/2 = 2.5
So, the value of x will be 2.5
Similarly, the original object has one of the sides with length (y + 1 in). As the As the original figure is dilated by a scale factor of 1/2. As the corresponding length of the side of the image triangle is 3 in.
so
y + 1 = 2(3) ∵ 3 in (image side) is multiplied by 2
y + 1 = 6
y = 6 - 1
y = 5
So, the value of y = 5
Therefore,
x = 2.5y = 5Answer:5.5
6
Step-by-step explanation:
Write the sentence as an equation.
19 increased by d is 234
Answer:
19+d=234
Step-by-step explanation:
"increased by d" is addition. "is" is equal. So Putting these together it would be 19+d=234.
Hope this helped!
a 34 inch piece of wood is 20% of a longer piece of wood. How long is the longer piece of wood?
Answer:
170 inches
Step-by-step explanation:
34/x = 20/100
x = 170 inches
Answer: 170 inches
Step-by-step explanation: 20% multiply by 5(100%)
Substitute 20% with 34, and end with 170 inches
A factory that is working at 90% capacity is shipping 450 cars per week. If the factory works 100% capacity, how many cars can it ship per week
Answer:
500
Step-by-step explanation:
450/90 × x/100
how to solve x
100÷90=1.11111111111
1.11111111111×450
Find the discrimanant and the number of real roots for this equation 9x^2+12x+4=0
For this case we have that by definition, the discriminant of a quadratic equation [tex]ax ^ 2 + bx + c = 0[/tex], is given by:
[tex]d = b ^ 2-4 (a) (c)[/tex]
[tex]d> 0[/tex]: Two different real roots
[tex]d = 0[/tex]: Two equal real roots
[tex]d <0[/tex]: Two different complex roots
If we have [tex]9x ^ 2 + 12x + 4 = 0[/tex], then:
[tex]a = 9\\b = 12\\c = 4[/tex]
Substituting the values:
[tex]d = 12 ^ 2-4 (9) (4)\\d = 144-144\\d = 0[/tex]
Thus, we have two equal real roots.
ANswer:
We have two equal real roots.
2x + 3y = 2
x + 6y = 4
Answer:
x=0 and y=2/3
Step-by-step explanation:
Multiply top equation by 2 -> 4x+6y=4
Cancel out the "6y"s by elimination -> 3x=0
Divide both sides by 3 -> x=0
Plug x=0 into x+6y=4 to get y -> 0+6y=4 -> 6y=4 -> y=4/6=2/3
So x=0 and y=2/3
PLEASE HALPPP I NEED IT BRAINLIST IF CORRECT!!!!
The value of 23 + 33 = ___.
Answer:
56
Step-by-step explanation:
Step 1: Combine
23 + 33
(20 + 30) + (3 + 3)
50 + 6
56
Answer: 56
Answer:
56
Step-by-step explanation:
23+33=56
~♥~♥≧∇≦≧∇≦≧∇≦≧∇≦
Solve for x
3.5x=24.5
Answer:
8.166666666666666666666666666666666666666666
Step-by-step explanation:
If you dissolve 10 grams of sugar in 30 grams of water you will make __ grams of __% sugar syrup
Answer:
25%
Step-by-step explanation:
Sugar Syrup = 40 grams
10 grams / 40 grams = 1/4
1/4 = 25%
Answer:
40 grams of 25% sugar syrup
Step-by-step explanation:
25 points plz help!!! Calculate the equation of the line through the points (-1, 1), (4, 0), and (24, -4)
The equation of the line is y=-1/5x+4/5.
Calculating m, the slope we subtract two of the points,
(-1, 1)
(4, 0)
This equals 0-1/4+1, which simplifies to -1/5
The slope is -1/5 and we can put that into the slope-intercept form along with a point to get b, the y-intercept.
So, y=-1/5x+b
Substituting x and y with a point.
1=-1/5(-1)+b
1=1/5+b
b=4/5
So, the equation is y=-1/5x+4/5.
What is the Equation of a Line?The equation of a line is a single illustration of numerous points on the line. the general form of the equation of a line is of the form ax + via + c = zero and any factor on the road satisfies this equation. these two minimal requirements to shape the equation of a line are the slope of the road and a factor on the line.
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If the measure of one exterior angle of a regular polygon is 40 degrees, how many sides does the polygon have?
Answer:
The polygon has 9 sides
Step-by-step explanation:
we know that
A regular polygon has equal length sides and equal interior angles
step 1
Find the measure of the interior angle
Remember that
The interior angle plus the exterior angle must be equal to 180 degrees (form a linear pair)
Let
x ----> the measure of each interior angle in the regular polygon
so
[tex]x+40^o=180^o[/tex]
solve for x
[tex]x=180^o-40^o=140^o[/tex]
step 2
Find the number of sides of the regular polygon
we know that
The measure of each interior angle in a regular polygon is given by the formula
[tex]x=\frac{(n-2)180^o}{n}[/tex]
where
n is the number of sides of the polygon
substitute the given values
[tex]140^o=\frac{(n-2)180^o}{n}[/tex]
solve for n
[tex]140n=180n-360\\180n-140n=360\\40n=360\\n=9\ sides[/tex]
therefore
The polygon has 9 sides
what is the sum of angles in a triangle
Answer: 180 degrees
Step-by-step explanation:
A triangle has 3 sides which is always equal to 180 degrees.
I hope this helps.
Answer:
180 degrees
Step-by-step explanation:
All triangles have three sides and are suplementary (meaning they add up to 180 degrees) so the answer to your question is 180 degrees.
g(x) = 4x2 – 3x + 7
Find g(3)
Answer:
g(3)=34
Step-by-step explanation:
Just plug in 3 for x:
4(3)^2-3(3)+7
4(9)-9+7
36-9+7
27+7
34
So g(3)=34
solve 4(3)+5(6+1) wut is dis
Answer: 47
Step-by-step explanation:
Answer:
47 is the answer
Step-by-step explanation:
which of the following rectangles is similar to a rectangle that measures 12 units by 16 units? A) 18x24 B) 9x14 C) 6x10 D) 16x20
Answer:
A) 18x24
Step-by-step explanation:
The ratio of the dimensions will be the same for a similar rectangle.
12/16 = 3/4 . . . given rectangle
__
18/24 = 3/4 . . . choice A is similar
9/14 ≠ 3/4 . . . . choice B is not similar
6/10 = 3/5 . . . . choice C is not similar
16/20 = 4/5 . . . . choice D is not similar
If a Subway train traveled 12 km in 8 minutes how many km/h was the train going?
Answer: 1.5 km/h
To find the speed use this:
distance/ time
12/8
Answer:
90km/h
Step-by-step explanation:
set up as this: 12km/8min = x/60min then cross multiply
12*60 = 720
8*x = 8x
solve for x
720 = 8x
90 = x
A polynomial function can be written as (x - 2)(x - 3)(x + 5). What are the x-intercepts of the
graph of this function?
a. (2,0), (3, 0), (-5,0)
b. (-2,0), (-3,0), (5,0)
c. (2,0), (3, 0), (5,0)
d. (-2, 0), (-3,0), (-5,0)
Answer:
a) : (2,0), (3,0), (-5,0)
Step-by-step explanation:
(x - 2)(x - 3)(x + 5)=0 (y=0)
x-2=0, x-3=0, x+5=0
x=2, x=3, x=-5
x-intercepts: (2,0), (3,0), (-5,0)
Question 1
Graph the line that passes through the two points.
(−
3
2
,−
3
2
), (
3
2
,
3
2
)
Answer:
The equation of the line is y=1x and I will show you a picture of a graph with your points and a line of that equation.
Step-by-step explanation:
Find the measure of < B
The measure of angle b is 25°.
Solution:
Given data:
The "L" shape angle is a right angle.
Right angle is splitted by another line and two angles are formed.
One angle is 65° and the other angle is b.
Let us find the other angle b.
65° + m∠b = 90°
Subtract 65° from both sides of the equation.
m∠b = 90° – 65°
m∠b = 25°
Hence the measure of angle b is 25°.
What does 5.9E4 mean?
Answer:
59,000
Step-by-step explanation:
That is scientific notation, as used in a calculator, for example, to mean
5.9 * 10^4
5.9 * 10^4 = 5.9 * 10,000 = 59,000
A block of clay weighing 5 pounds is divided into 9 equal pieces.How muck does each piece way
Answer:
5/9 pounds or rounded 0.5555... pounds
Step-by-step explanation:
Step 1: Make an equation
5 / 9 = x
Step 2: Solve
5 / 9 = x
5/9 pounds or rounded 0.5555... pounds
Answer: 5/9 pounds or rounded 0.5555... pounds
Answer:
5/9 of a pound
Step-by-step explanation:
5 pounds of clay is divided into 9 equal pieces
5 ÷ 9
This can be written as a fraction
5/9
Each block weighs 5/9 of a pound
Hope this helps :)
joyce has between 25 to 75 coloured beads. when she makes them into groups of 9, 8 beads are left out. when she groups into groups of 8, 6 beads are left out,how many beads are left
Answer:
Joyce has total 62 colored beads.
Step-by-step explanation:
For making groups of 9, let the number of beads be x.
total beads = 9x + 8
For making groups of 8, let the number of beads be y.
total beads = 8y + 6
As the total number of beads in both cases are same so,
9x + 8= 8y + 6
or, 9x-8y = -2
Now lets check the values through hit and trial;
First check; x=6, y=7
9*6 - 8*7 = -2
or, 54- 56 = -2
or, -2 =-2
This satisfies our equation.
Hence; Total beads = 9*6 + 8 = 62
The total number of beads joyce had is 62.
Number of beads she have is 62 .
Step-by-step explanation:
Here we have , joyce has between 25 to 75 colored beads. when she makes them into groups of 9, 8 beads are left out. when she groups into groups of 8, We need to find how many beads are left . Let's solve this:
when she makes them into groups of 9, 8 beads are left out equation is
[tex]9x+8[/tex]
when she groups into groups of 8 , 6 beads are left out, equation is
[tex]8y+6[/tex]
Equating both equation's we get:
⇒ [tex]9x+8 = 8y+6[/tex]
⇒ [tex]9x-8y = -2[/tex]
By hit & trial method , we put x = 6 & y=7:
⇒ [tex]9(6)-8(7) = -2[/tex]
⇒ [tex]54-56= -2[/tex]
⇒ [tex]-2= -2[/tex]
Since , LHS = RHS x = 6 & y=7 satisfies the equation [tex]9x+8 = 8y+6[/tex] . So putting value of x=6 in [tex]9x+8[/tex] we get:
⇒ [tex]9x+8[/tex]
⇒ [tex]54+8[/tex]
⇒ [tex]62[/tex]
Therefore, Number of beads she have is 62 .
6. On day 1 of a bake sale, the group sold 125 chocolate chip cookies and 75 oatmeal cookies. They also received donations that
totaled $46. They raised $196 on day 1. Both types of cookies were sold for the same price. Write and solve an equation to find
how much they charged for each cookie.
Answer:$1.33
Step-by-step explanation: What I did is I subtracted the 46 dollars in donations from the total they raised on day 1 to get the amount for just the cookies $150. Then I added the amount of the 2 total of cookies sold = 200. Then, I took the amount of cookies sold and divided it by the amount they made selling the cookies = 1.33. 200 ÷ 150 = 1.33
I hope this helps
find the mean:
23,91,83,31,49,11,60,92
Answer:
55
Step-by-step explanation:
For the mean you add together all of the values, and then divide the sum by the number of digits there are.
23+91+83+31+49+11+60+92 = 440
440/8 = 55
23 + 91 + 83 + 31 + 49 + 11 + 60 + 92 = 440/8 = 55
Mean: 55.
which equation goes with the table?
Answer:
y=3x that is the answer