Answer:
15 bicycles and 6 skateboards.
Step-by-step explanation:
x+y = 21, since there are 21 total items in the shop
Match the graph with the correct equation
y + 2 = -(x - 4)
============================================
Explanation:
The slope of this line is -1 because each time we move down 2 units, we move to the right 2 units. So slope = rise/run = -2/2 = -1
The slope formula says the same thing more or less. Let's pick the two points (0,2) and (2,0) to find the slope through them
m = (y2-y1)/(x2 - x1)
m = (0-2)/(2-0)
m = -2/2
m = -1
-------------
Using that slope and a point on the line, we can form the equation. We can pick any point really as long as it's on the line. However, to have it match with the answer choices, we'll have to pick the point (4,-2)
Turn to point slope form
y - y1 = m(x - x1)
y - y1 = -1(x - x1) ... plug in the slope
y - (-2) = -(x - 4) ... plug in the point (x1,y1) = (4, -2)
y + 2 = -(x - 4)
Question 13
A train runs 68m, 127m, 208m, 312m, and 535m in five successive minutes after it
starts. For the next five minutes, it runs an average speed of 33 km/h. Find the
total distance covered in ten minutes,
A. 12 km
B. 10 km
C. 4 km
D. none
Answer:
C
Step-by-step explanation:
Here in this question , we are interested in calculating the total distance covered by the train in the 10 minutes that it ran.
From the first part of the question, we already know the distances in the first 5 minutes.
Now, to calculate the total distance in the second 5 minutes, we use the distance formula since we have the average speed and the time;
Mathematically; Total distance = average speed * time
From the question, average speed is 33km/h, while time is 5 minutes. To achieve a consistent unit, we convert 5 minutes to hours.
That would be 5/60 = 1/12 hours
So the total distance in the second 5 minutes is;
33 * 1/12 = 2.75 km
Now, to calculate the total distance traveled, let’s add up the distances in the first 5 minutes and convert to kilometers;
That would be;
68 + 127 + 208 + 312 + 535 = 1,250 m
Let’s convert this to km.
We simply divide by 1000 = 1250/1000 = 1.25 km
The total distance is thus ;
1.25 + 2.75 = 4 km
Solve for x 11=5x+2-2x
Answer:
x=3
11=5x+2-2x
x=3
1/3x^2-5=7 what is x
Answer:
x= 6
Step-by-step explanation:
[tex]\frac{1}{3}x^{2}-5=7\\[/tex]
Add 5 to both sides
[tex]\frac{1}{3}x^{2}-5+5=7+5\\\\\frac{1}{3}x^{2}=12\\[/tex]
Multiply both sides by 3
[tex]3*\frac{1}{3}x^{2}=12*3\\\\x^{2}=36\\[/tex]
x² = 6*6
Take square root,
√x² =√6*6
x = 6
Why is it important that the term “locked” is used when making the following statement? You can use a locked compass setting and a straightedge to draw two congruent segments.
You use a compass to draw an arc (or a full circle). The radius must be kept the same so that you can copy the length of the segment properly. If the compass could move freely, then it is unlikely the arc will be a piece of a circle, and rather some squiggly curve. So this is why the compass width must be locked into place.
702x10-4 power stanndard notation
Answer:
702*10-4
7020-4(because first we should do multiplication)
7016
stanndard notation=7.016
8+35/w=15
a.8
b.6
c.10
d.5
Answer:
[tex] \boxed{ \bold{ \huge{ \bold{w = 5}}}}[/tex]
Option D is the correct option
Step-by-step explanation:
[tex] \sf{8 + \frac{35}{w} = 15}[/tex]
⇒[tex] \sf{ \frac{8 \times w + 35}{w} = 15}[/tex] { w ÷ 1 = w , So, I wrote 8 × w }
⇒[tex] \sf{ \frac{8w + 35}{w} = 15}[/tex]
Apply cross product property
⇒[tex] \sf{8w + 35 = 15w}[/tex]
Move 15w to left hand side and change it's sign
Similarly, Move 35 to right hand side and change it's sign
⇒[tex] \sf{8w - 15w = - 35}[/tex]
Collect like terms
⇒[tex] \sf{ - 7 w = - 35 }[/tex]
Divide both sides of the equation by -7
⇒[tex] \sf{ \frac{ - 7w}{ - 7} = \frac{ - 35}{ - 7} }[/tex]
Calculate
⇒[tex] \sf{w = 5}[/tex]
Hope I helped!
Best regards!!
Answer:
w = 5
Step-by-step explanation:
8 + [tex]\frac{35}{w}[/tex] = 15
subtract 8 from both sides
8 + [tex]\frac{35}{w}[/tex] - 8 = 15 - 8
simplify
[tex]\frac{35}{w}[/tex] = 7
35/7 = w
w = 5
PLEASE ANSWER FAST
What association does the scatter plot show?
A.Positive nonlinear association
B.Positive linear association
C.No association
D.Negative nonlinear association
E.Negative linear association
Answer:
Negative nonlinear association
Answer:
D is wrong
Step-by-step explanation:
I followed advice of a person above me and got it wrong on test. I now realise that the only logical and correct answer is C
20 POINTS!!! PLS COME AND LOOK!!! I NEED YOU GENIUSES!!! I WILL GIVE BRAINLIEST!!!!! AT LEAST COME AND LOOK!!!! WILL FOREVER BE GREAT FULL!!! EASY I JUST STRUGGLE!! 2 QUESTIONS!!
6. Libbi is creating a triangular mural for her city. The space she needs to fill has a base of 8 feet and a height of 9 feet. Which formula can she use to find the total amount of paint she will need if the entire space is painted?
A) A=(8)(9)
B) A=2(8+9)
C) A= (8)(9)/2
D) A=2 (8/9)
8. Which properties should you use to solve the equation 4x+2=18 ?
A) The inverse property of addition and then the associative property of multiplication
B) The inverse property of addition and then the multiplicative identity
C) The inverse property of addition and then the inverse property of multiplication
D) The inverse property of addition and then the commutative property of multiplication
Answer:
6) C
8) A
Step-by-step explanation:
6) A=(base*height)/2 is the formula for a triangle.
8) yes
6. The formula that can be used to find the total amount of paint she will need if the entire space is painted is C) A= (8)(9)/2.
What is the area of the triangle?The area of the triangle is given as,
Area = (1/2)*(base)*(height)
Now it is given that,
Base of space = 8 feet
Height of space = 9 feet
Thus,
Area of the space = (1/2)*(base of space)*(height of space)
⇒ Area of the space = (1/2)*(8)*(9)
or, Area of the space = (8)(9)/2
⇒ Area of the space = 36 square feet
Thus, the formula that can be used to find the total amount of paint she will need if the entire space is painted is C) A= (8)(9)/2.
To learn more about triangles :
https://brainly.com/question/20124564
8. The properties use to solve the equation 4x + 2 = 18 is C) The inverse property of addition and then the inverse property of multiplication.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
Now the given equation is,
4x + 2 = 18
To solve the equation first using inverse property of addition
4x = 18 - 2
4x = 16
Now using inverse property of multiplication we get,
4x/4 = 16/4
x = 4
this is the required value of x.
Thus, the properties use to solve the equation 4x + 2 = 18 is C) The inverse property of addition and then the inverse property of multiplication.
To learn more about equation :
https://brainly.com/question/11720294
#SPJ2
What is the distance between y = 3x + 9 and y = 3x - 4?
Answer:
A. 4.11 units
Step-by-step explanation:
It can be convenient to put one of these equations into general form, then use the formula for the distance from a point to a line.
In general form, the first equation is ...
3x -y +9 = 0
So, the distance from a point to that line is ...
ax +by +c = 0 . . . . . . equation of a line
d = |ax +by +c|/√(a^2+b^2) . . . corresponding distance formula
d = |3x -y +9|/√(3^2 +(-1)^2)
Using the y-intercept of the other line as the point of interest, we find its distance to the first line to be ...
d = |3(0) -(-4)+9|/√10 = 13/√10 ≈ 4.11
The distance between the lines is about 4.11 units.
_____
Unless the lines are vertical or horizontal, you know the distance will be less than the difference between the x- or y- intercepts. Here, the y-intercepts are separated by 9-(-4) = 13 units. The x-intercepts are -3 and 4/3, so are separated by 4 1/3 units. Any answer choice larger than 4.33 cannot be correct.
is 11/24 an repeating number or an terminate?
Answer:
repeating decimal/number
Step-by-step explanation:
If you divide 11 by 24, you get 0.458333333...
The 3 gets repeated, so 11/24 is a repeating decimal/number
Let f(x) = x + 8 and g(x) = x2 − 6x − 7. Find f(g(2))
Answer: f(g(2))=-7
Step-by-step explanation:
STEP 1. Find g(2)
g(x)=x²-6x-7
g(2)=(2)²-6(2)-7
g(2)=4-12-7
g(2)=-15
----------------------
STEP 2. Find f(g(2))
f(x)=x+8
f(g(2))=g(2)+8
f(-15)=-15+8
f(-15)=-7
Hope this helps!! :)
Please let me know if you have any question or need any further explanation
Answer:
The Answer is -7 .
Step-by-step explanation:
f(x)= x+8
g(x)= [tex]x^{2}[/tex]-6x-7
Now,
fog(2)=f ([tex]2^{2}[/tex]-6*2-7)
=f (4-12-7)
=f (-15)
=-15+8
= -7
What is the vertex of the parabola with the equation y = (x - 2)2 + 10? (1 point)
(2, -10)
0 (-2. 10)
Answer:
(2, 10)
Step-by-step explanation:
y = (x - h)² + k
vertex = (h, k)
= (2, 10)
some whole numbers are irrational numbers true or false and why ?
Answer:
False
Step-by-step explanation:
The set of numbers that include 0 plus the set of counting numbers. Which also includes 1-Infinity. Example....1,2,3,4, etc.
Answer:
False
Step-by-step explanation:
Whole numbers and irrational numbers are different set of numbers and they don't cross or overlap, therefore no whole number can be part of irrational numbers set
Evaluate each expression if a =2, b = -3 and c = -1 and d =4. Bd/2c
Answer:
6
Step-by-step explanation:
bd/2c
-3(4)/2(-1)
-12/-2
6
Answer:
6
Step-by-step explanation:
Add the given numbers into your equation.
(-3)(4)/2(-1)
Then multiply both sides.
(-12)/(-2)
Then divide.
(-12)/(-2) = 6
please help!!! the study conducted was 6 days long: there was 72mm of plant food and it decreased an equal amount each day.
Answer:
[tex] f(x) = 72 - 12x [/tex]
Step-by-step explanation:
No. of days of study = 6
Amount of food to use for the 6 days = 72 mm
Given that equal amount of food was used each day, amount used per day = [tex] \frac{72}{6} = 12 mm [/tex]
This would enable us derive a function for the amount of food remaining f(x), which can be expressed as a function of the number of days that have passed, (x).
Thus, we would have:
[tex] f(x) = 72 - 12x [/tex]
Let's check if this equation expresses the relation of the function well.
At the end of day 1, if we used, 12mm, we would have 72 - 12 = 60mm of food remaining.
If we replace x in the equation we derived, we would get the same 60mm as the amount of food remaining.
If you try 2, 3, 4, 5 days, you'd get same thing.
At the end of the study, after the 6th day, the food would remain nothing.
Replace 6 for x in the relation function derived, you'd get a value of 0.
which number is the additive verse of -10 1/4
Answer:
Step-by-step explanation:
An Additive Verse is a pair of numbers whose sum is zero.
Example: the additive Inverse of -5 is +5
Therefore: the Additive Inverse of -10 1/4 would be +10 1/4
HELP PLEASE HELP ASAP
Answer:
r=0.30 feet
Step-by-step explanation:
2.6miles = 13728feet
4000=[tex]\pi[/tex]r²13728
4000/[tex]\pi[/tex]13728=r²
.0927=r²
r=0.30454
r=0.30 feet
Nicole mixes 2 tins of red paint with 3 tins of white. She needs 15 tins of paint altogether. how many tins of red paint does she need Please show calculations
Answer:
You have:
2 red tins
3 white tins
This equals 5 tins of paint.
If you multiply 5 tins by 3 times it will give you 15 tins of paint.
Now: 2 red tins x 3 = 6 red tins
3 white tins x 3 = 9 white tins
6 red tins + 9 white tins = 15 tins of paint
Answer:
She will need 6 tins of Red paint
Step-by-step explanation:
A box is filled with 2 yellow cards, 4 blue cards, and 12 red cards. A card is chosen at random from the box. What is the probability that the card is not blue? Write your answer as a fraction in simplest form.
Answer:
7/9
Step-by-step explanation:
Given:
Number of yellow cards=2
Number of red cards=12
Number of blue cards=4
Total number of cards= Number of yellow cards+Number of red cards+Number of blue cards
= 2+4+12=18cards
Probability of a NON-blue card = number of non blue/ total number
where NON-blue= Number of red cards+
Number of yellow cards
= 2+12=14
P(not blue)=
=14/18
7/9
Therefore, probability that the card is not blue is 7/9
ATTENTION WILL GIVE BRAINLIEST IF YOU HAVE IT RIGHT, IF YOU DONT PUT A RIGHT ANSWR I WILL REPORT YOU AND BLOCK YOU. 1. Write an expression with (−1) as its base that will produce a positive product, and explain why your answer is valid. 2. Write an expression with (−1) as its base that will produce a negative product, and explain why your answer is valid.
Answer: -1^0 because any number to the 0 is 1
-1^1 because it stays the same number which is negative
Answer:
Hey there!
For question number 1.
(-1)^2, because this equals (-1)(-1), or 1.
For question number 2.
(-1)^3, becuase this equals (-1)(-1)(-1), or -1.
Let me know if this helps :)
-3(2x-1)+ 4x asap plz help
Answer:
[tex]- 2x + 3[/tex]
Step-by-step explanation:
[tex] - 3(2x -1 ) + 4x \\ - 6x + 3 + 4x \\ = - 2x + 3[/tex]
Tavon has a $50 gift card that’s very loses $2 for each 30-day period it is not used. He has a $40 card that’s loses $1.50 for each 30-day period it is not used.
The following examples illustrate the inverse property of addition. Study the examples, then choose the statement that best describes the property. 5 + (-5) = 0 -1.33 + 1.33 = 0 Inverse property of addition: For real numbers, a + = 0.
Answer: -a
Step-by-step explanation:
Answer:
-a
Step-by-step explanation:
DONT DO SPACE just -a
Use the figure to answer the question. Calculate GH is a=3 and b=20
Answer:
7.75
Step-by-step explanation:
By Geometric mean property:
[tex] GH = \sqrt {a \times b} [/tex]
[tex] GH = \sqrt {3 \times 20} [/tex]
[tex] GH = \sqrt {60} [/tex]
[tex] GH = 7.74596669[/tex]
[tex] GH \approx 7.75[/tex]
Look at the following figure. Copy the cross onto another piece of paper. Then, cut apart the four pieces labeled A, B, C, and D. You now have a jigsaw puzzle with four pieces. Can you figure out how to put the pieces back together to form a square?
Answer:
C should slot on top of A.
Then D should slot in next to C of the left.
Lastly B should be beneath D and on the left of A.
Hope that makes sense.
Which of the folldwing is an irrational number?
Answer:
umm.... what exactly are the numbers?
Answer:
Yea umm what are the numbers..?
Step-by-step explanation:
Solve 15 and 21, will give BRAINLIST!!
Answer:
Step-by-step explanation:
4/x=2/10cross multiplication:
4*10=2*x
40=2x
x=40/2=20
w/2 = 4.5/6.86.8w=2(4.5)
6.8w=9
w=9/6.8=1.32352941
Using the properties of triangles, prove that angle a is congruent to angle c in the drawing below.
Answer:
General conditions of congruency of triangles
Step-by-step explanation:
As no triangles are given, explaining the general rules to apply in congruency of all triangles.
Triangles are congruent on the basis of following conditions :
SSS : All 3 sides of two triangles are equal SAS : 2 sides & angle between them, of two triangles are equal ASA : 2 angles & corresponding side, of two triangles are equal HL : Hypotenuse & Leg of two right angled triangles are equal
At the end of the trading day on April 25, TI closed at $28.84. The previous day it closed at $27.41. Find the net change as a percent rounded to
the nearest hundredth.
Answer:
27.41
Step-by-step explanation: