Answer:
95
Step-by-step explanation:
because 95 is on the other side I think it's called anterior angles or something
A shop sells packs of black pens, packs of red pens and packs of green pens.
There are
2 pens in each pack of black pens
5 pens in each pack of red pens
6 pens in each pack of green pens
On Monday, the ratio of number of packs of pens sold was Black : Red : Green = 7 : 3 : 4
A total of 212 pens were sold.
Work out the number of green pens sold.
Answer:
The number of green pens sold are 96 green pens
Step-by-step explanation:
The given parameters for the packs of pens sold by the shop are;
The number of pens in each pack of black pens = 2 pens
The number of pens in each pack of red pens = 5 pens
The number of pens in each pack of green pens = 6 pens
The ratio of number of packs of pens sold Black : Red : Green = 7 : 3 : 4
The total number of pens sold = 212
Let 'x' represent the number of packs of pens sold
Therefore, the fraction of the packs the pens sold that are black pens = 7/(7 + 3 + 4) = 7/14 = 1/2
∴ 1/2 of the number of packs of pen sold = packs black pens = x/2
The fraction of the packs the pens sold that are red pens = 3/14
∴ 3/14 of the number of packs of pen sold = packs of red pens = 3·x/14
Similarly, we have;
The fraction of the packs the pens sold that are green pens = 4/14 = 2/7
∴ 2/7 of the number of packs of pen sold = packs of green pens = 2·x/7
Therefore, we have;
x/2 × 2 + 3·x/14 × 5 + 2·x/7 × 6 = 212
Where;
x/2 × 2 = The number of black pens sold
3·x/14 × 5 = The number of red pens sold
2·x/7 × 6 = The number of green pens sold
∴ 53·x/14 = 212
x = 212 × 14/53 = 56
∴ The number of packs of pens sold = x = 56 packs
The number of green pens sold = 2·x/7 × 6 = 2 × 56/7 × 6 = 96
The number of green pens sold = 96 pens.
Willa bought 5 tops that cost $72 after she applied a $20-off coupon. The tops all cost the same amount. Which equation can be used to find the cost in dollars of each top?
A5t + 20 = 72
B5t - 20 = 72
C20t = 5 = 72
D20t - 5 = 72
Answer:
B
Step-by-step explanation
5 tops minus the 20 from coupon, to get the total
find the difference of (6x^2+3x-5) and (4x^2-2x+3)
Answer:
ummm
Step-by-step explanation:
cz points
Can someone please help me with this questions
Step-by-step explanation:
a. 3⁴
b. 7⁵
c. 10²
d. 5⁷
Hope this helps?
Select all the systems of equations that have exactly
one solution.
y = 3x + 1
y =− 3x + 7
y = 3x + 1
y = x + 1
y = 3x + 1
y = 3x + 7
y =− x + 10
y =− 1x + 10
y =− x + 10
y =− x + 12
Answer:
a, c
Step-by-step explanation:
because they have the same equations
UM what is 53 x 4? I need to know right now.
Answer:
212 is the correct answer hope it helps
Factor the expression
12x^2 +7x+1
Answer:
[tex]\boxed{\textsf{ The factorised form is \textbf{(4x+1)(3x+1)}.}}[/tex]
Step-by-step explanation:
A quadratic polynomial is given to us and we need to find its factorised form . The given quadratic polynomial is ,
[tex]\sf\implies p(x)= 12x^2+7x+1[/tex]
And this equation is similar to the equation in ax² + bx + c form . So in order to factorise it .
Step 1: Multiply the coefficient of x² with the constant term .
Here the coefficient of x² is 12 and the constant term is 1 . So on multiplying them we get 12*1= 12 .
Step 2: Look out for the possible factors of the number .
Here the obtained number is 12 . So the possible factors of 12 is
1 *12-1*-122*6-2*-64*3-4*-3Step3: Choose the factor whose sum is equal to the coefficient of the middle term .
Here we can see that the middle term is 7 . And the sum of 4 and 3 is equal to 7 . Hence here we will break 7x as 4x + 3x .
Step 4: After proper arrangements take out the common term and then factorise.
After suitable rearrangment we get ,
[tex]\sf\implies p(x)= 12x^2+4x+3x+1 \\\\\sf\implies p(x)= 4x(3x+1)+1(3x+1) \\\\\implies\boxed{\red{\sf p(x)= (4x+1)(3x+1)}}[/tex]
The slope of line M between (-6,-8) and (-2,-5) is 3/4. What is the slope of line M between (2,-2) and (10,4)?
11. Determine the measure of the angles below.
12. Two lines intersect to form the four angles shown in the figure. Which term does not accurately describe the pair of angles 1 and 4?
Answer:
11 - 125 and 55
12 - supplementary
Step-by-step explanation:
5x+20+3x-8=180
step 1 combine like terms
8x+12=180
step 2 subtract 12 from each side
8x=168
step 3 divide each side by 8
x=21
then you just plug in 21 to each equation to find that angle 1 = 125 and angle 2=55
Problem 11
Answers:
5x+20 = 1253x-8 = 55--------------------
Explanation:
The two angles shown here form a linear pair. They supplementary so they add to 180.
(5x+20)+(3x-8) = 180
(5x+3x) + (20-8) = 180
8x+12 = 180
8x = 180-12
8x = 168
x = 168/8
x = 21
We then find the angles to be
5x+20 = 5*21+20 = 125
3x-8 = 3*21-8 = 55
Note how 125+55 = 180 to help confirm the answers
===================================================
Problem 12
Answer: B) Vertical angles
--------------------
Explanation:
Vertical angles are angles that form after intersecting two lines, and the angles are opposite one another. So one example of a vertical angle pairing would be angles 1 and 3. The other vertical angle pair of this diagram are angles 2 and 4. Vertical angles are always congruent to one another.
In this diagram, angles 1 and 4 are adjacent since they are next to each other. In other words, they share a common line (think of apartment neighbors sharing a common wall). Since they are adjacent angles, there is no way they are vertical angles.
Angles 1 and 4 are also supplementary since they form a straight line. They are a linear pair for very similar reasons. This allows us to rule out choices A, C and D.
Side note: the term "linear pair" means that the angles are adjacent and supplementary.
need help im dum (not really but i dont get it)
i will give brainliest
Answer:
20
Step-by-step explanation:
to do % you have to multiply your number (50) by the % which is 40%
but you have to turn your number into a decimal (.40) then multiply
you'll get 20 and there is your answer!
hope this helps!
Find each of the trigonometric ratios. I am going to give brainliest to whoever gets this right.
Answer:
Step-by-step explanation:
sin(Z) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{YZ}{XZ}[/tex]
= [tex]\frac{9}{15}[/tex]
= [tex]\frac{3}{5}[/tex]
cos(Z) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{XY}{XZ}[/tex]
= [tex]\frac{12}{15}[/tex]
= [tex]\frac{4}{5}[/tex]
tan(Z) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{XY}{YZ}[/tex]
= [tex]\frac{9}{12}[/tex]
= [tex]\frac{3}{4}[/tex]
sin(X) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{YZ}{XZ}[/tex]
= [tex]\frac{12}{15}[/tex]
= [tex]\frac{4}{5}[/tex]
cos(X) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{XY}{XZ}[/tex]
= [tex]\frac{9}{15}[/tex]
= [tex]\frac{3}{5}[/tex]
tan(X) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{YZ}{XY}[/tex]
= [tex]\frac{12}{9}[/tex]
= [tex]\frac{4}{3}[/tex]
Yolanda is making a springboard to use for gymnastics. She has 8-inch-tall springs and wants to form a 16.5° angle with the base, as modeled
in the diagram below.
X
8 in
16.5
To the nearest tenth of an inch, what will be the length of the springboard, x?
27.0
b
28.2
ООО
8.3
d
2.3
Answer: Hi! The answer is 28.2
Step-by-step explanation:
The value of x from the given diagram is 28.3 in
SOH CAH TOA identityFrom the diagram shown, we are given the following:
Opposite = 8inHypotenuse = xAngle of elevation = 16.5 degreesTo get the value of x, we will use the relatinship;
Sin theta = opp/hyp
Sin 16.5 = 8/x
x = 8/sin16.5
x = 8/0.2840
x = 28.16
x = 28.2in
Hence the value of x from the given diagram is 28.3 in
Learn more on SOH CAH TOA here: https://brainly.com/question/20734777
The slope-intercept form of a linear equation
is y = mx + b, where x and y are coordinates of an
ordered pair, m is the slope of the line, and b is where
the line crosses the y-axis.
Which is an equivalent equation solved for the slope,
m?
m= yx +b
m= b
x
O m=-b
O m=y-
Answer:
The second option m=y-b/x
Step-by-step explanation:
Hope this helps :)
Answer:
B
Step-by-step explanation:
I have super human powers that tell me the correct answer
The point ( -3, 15 ) undergoes a translation of 9 units right and 10 units down. What are the coordinates of the new point?
Answer:
The new coordinates would be (6,5)
Step-by-step explanation:
I'm pretty sure o-O
what is the slope of a line that contains the points (-6, 1)and (4 negative 4)
Please help! Will mark brainliest
I believe its 35 but im thinking it can be 40 too
please help me put these in order if u can
Answer:
5x+8y=480
5(16)+8y=480
80+8y=480
8y=40
y=50
Step-by-step explanation:
x= kids ticket sold
y= adult tickets sold
5x+8y = sales
Plug in 16 for x and 480 for sales
5(16)+8y= 480
Solve for y
80+8y=480
400=8y
y=50
Maths question, will give Brainliest! Estimate the solution to the system:
y=4x−2
y=x+3
Answer:
C
Step-by-step explanation:
Answer:
C or (5/3, 14/3)
Step-by-step explanation:
y = 4x - 2 = x + 3
3x - 3 = 3
3x = 5
x = 5/3 or 1 2/3
y = 5/3 + 3
y = (5 + 9)/3
y = 14/3 or 4 2/3
solve for h in the parallelogram
Answer:
h = 5
Step-by-step explanation:
diagonals in a parallelogram bisect each other so:
2h = h + 5
h = 5
x^2+5x+4=0 how do I factor this because Im trying to solve quadratic equations by factoring and i dont understand it
Answer:
(x + 4)(x + 1)
Step-by-step explanation:
Caleb purchased video games for $45 each. He bought $540 worth of video games. If x is the number of video games, which equation can be used to find the total number of video games Caleb purchased?
Answer:
y=45x-540
Step-by-step explanation:
What is the relationship of the angles
Answer:
alternate interior
Step-by-step explanation:
Corey spent $17.00, inculding sales tax, on 2 sanwiches cost $5.25 each and the total sales tax was $0.92. What was the cost of each drink.
Answer:
Well to start you already know the sandwich cost 5.25 and the total sales tax .92.
To find the cost of each drink
5.25 x 2= 10.50
10.50+.92=11.42
17.00-11.42= 5.58
5.58/3= 1.86
So the cost per Drink is $1.86
Step-by-step explanation:
Hope this helped!
What is the slope of the line passing through the points (3,5) and (-1,7)?
-1/2
To find the slope of the line between two points, we use the equation (y2-y1)/(x2-x1)
Substitute the values given for the xs and ys:
(7-5)/(-1-3)
2/(-4)
simplify: -1/2
How many terms are in this expression? d + 8c + 7
Answer:
2
Step-by-step explanation:
Change to y = mx + b form. 3y - 3x = 9
Answer:
y = x+3
Step-by-step explanation:
3y-3x = 9
3y-3x+3x = 9+3x
3y = 3x+9
3y/3 = 3x/3+9/3
y = x+3
Hey there!
The answer is [tex]y=x+3[/tex]
[tex]3y-3x=9[/tex]
[tex]\frac{3y}{3} -\frac{3x}{3} =\frac{9}{3}[/tex]
[tex]y-x=3[/tex]
[tex]y-x+x=3+x[/tex]
[tex]y=x+3[/tex]
Have a great day!
The boys' basketball team at Washington High School has been doing really well so far this year. In the past six games, they ve scored the following points.
84, 67, 74, 87, 67, 73
If the coach is discussing their year with the local newspaper, which measure of central tendency is he least likely to use?
Median
Mode
Mean
Range
Answer:
Step-by-step explanation:
Median
Not 100 percent
Median is middle he is least likely to use.
Trigonometric functions
Answer:
in mathematics,the trigonometric functions are real function which relate an angle of a right angle triangle to ratios of two side lengths.They are widely used in all sciences that are related to geometry,such as navigation,solid mechanics,celestial mechanics,geodesy,and many others.
The laptop was $500
and is now $400. What
is the percent of change?
Answer:
20%
Step-by-step explanation:
Answer:
It's -20.00% I have a link to a website that calculate percent of change for you if you want it, just comment and tell me
Step-by-step explanation:
help me please, i don’t get it loll
Answer:
subtract to find A
Step-by-step explanation: