Answer: [tex]\dfrac14[/tex]
Step-by-step explanation:
Given: The factory produces equal quantities of four flavors cherry lemon orange and strawberry.
Let orange candy= cherry = lemon = strawberry = x
Total candies = x + x + x + x= 4x
The probability that a randomly selected candy is orange = [tex]\dfrac{x}{4x}=\dfrac14[/tex]
Hence, the probability that a randomly selected candy is orange = [tex]\dfrac14[/tex]
Sewing patterns recommended buying extra fabric in case of mistakes. Darlene bought 7 yards of fabric, plus 20% extra fabric. Chris bought 4 yards of fabric plus 25% extra. Who bought more fabric. How much more?
Answer:
Darlene bought more fabric
Darlene bought 3.4 yards more
Step-by-step explanation:
Darlene = 7 yards + 20% extra
= 7 yards + (20% of 7 yards)
= 7 + (20% × 7)
= 7 + (0.2 × 7)
= 7 + 1.4
= 8.4 yards
Chris = 4 yards + 25% of 4 yards
= 4 yards + (25% of 4 yards)
= 4 + (25% × 4)
= 4 + (0.25 × 4)
= 4 + 1
= 5 yards
Darlene bought more fabric
How much more?
Darlene - Chris
= 8.4 yards - 5 yards
= 3.4 yards
Darlene bought 3.4 yards more
Noah already has $10.50, and he earns $3 each time he runs an errand for his neighbor. Noah wants to know how many errands he needs to run to have at least $30
Answer: 7 errands
Step-by-step explanation:
Noah wants to have at least $30. He however already has $10.50.
The amount that he needs is:
= 30 - 10.50
= $19.30
For every errand he runs, he makes $3. The number of errands needed to get to $30 is:
= 19.50/3
= 6.5
= 7 errands
Felix joined a local recreation center to play basketball the recreation center try to a $20 annual fee plus an additional $15 per month for usage of basketball courts feel like pre-pays by writing a check for $185 for how many months did Felix pay
Answer: Felix paid for 11 months.
Step-by-step explanation:
Let x = Number of months
Given: Annual fee = $ 20
charge per month = $15
Total amount = Annual fee + (charge per month) x (number of months)
[tex]\Rightarrow\ 185 = 20+15x\\\\\Rightarrow\ 165=15x\\\\\Rightarrow\ x = \dfrac{165}{15}\\\\\Rightarrow\ x =11[/tex]
Hence, Felix paid for 11 months.
Robert earned $194.70 at his job when he worked for 11 hours. How much money did he earn each hour?
Answer:
$17.70
Step-by-step explanation:
You take how much he made ($194.70) and divide by how many hours he worked (11) to get his hourly rateof $17.70.
Answer:
17.7
Step-by-step explanation:
All you need to do is divide 194.70 with 11 and you get 17.7
Find the value of the tangent for
Answer:
choice A
Step-by-step explanation:
Sin A=12/40
sin A=.3
angle A=17.4576 degrees
Tan 17.4576=0.3145
Tan A=0.3145
Choice a, 3x(sr root of 91)/91=0.3145
Answer:
A.
Step-by-step explanation:
3√91/90
I am having trouble with is question plz help. What is 2x × x =
Answer:
X
Step-by-step explanation:
CAUSE
2X=X
DIVIDE BOTH SIDE BY 2 EQUAL ONE AND ONE IS EQUAL TO ( X)
NEED NOW PLZ 30 POINTS !!!!!!!!!!!!!!!!!!!!!!!!!!!!
What is the area of the trapezoid?
1440 square yards
1512 square yards
1560 square yards
1680 square yards
Step-by-step explanation:
A=
[tex] \frac{a + b}{2} h[/tex]
So :
[tex]area \: = \frac{36 + 42}{2} \times 40 \\ \frac{78}{2} \times 40 = 39 \times 40 = 1560[/tex]
In each equation of the form ax + by = c, state a, b, and c.
3x=0
In each equation of the form ax + by = c, state a, b, and c.
3x + 2y = 6
Answer:
6
Step-by-step explanation:
Answer:
6 is answer
Step-by-step explanation:
You and your friend collect each rocks and fossils. your friend collects three times as many rocks and half as many fossils as you. you collect 20 objects. your friend collects 20 objects. how many rocks andhow many fossils do you each collect. PLEASE ANSWER FAST! I DONT WANNA FAIL!!
Answer:
you - 4 rocks and 16 fossilsfriend - 12 rocks and 8 fossilsStep-by-step explanation:
Let the rock be r and the fossil be f
Equations
You: r + f = 20Friend: 3r + 1/2f = 20Double the second equation and subtract the first one:
2(3r + 1/2f) - (r - f) = 2*20 - 206r - r = 205r = 20r = 4Then find f:
f = 20 - 4 = 16So you collect 4 rocks and 16 fossils
Friend collects:
4*3 = 12 rocks and 1/2*16 = 8 fossilsWhen the depth of the water is 9604kmm what is the speed of the tidal wave?
Answer:
906 will make the game faster but not equal
Step-by-step explanation: 89/8 is the eqaul part
Identify the rational exponent expression for V10°.
Answer:
The square root of 16 is rational.
Step-by-step explanation:
Answer:
Step-by-step explanation:
V10,000 20.5121/3 21. 41/2. 22. 11/3. 23.
A score of 17 on a math test results in a mark of 68%. What score would give you a mark of 100%?
(MUST SHOW WORK)
Answer:
17/25
Step-by-step explanation:
The required total score for 100% mark is given as 25.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Let the x be the be score for 100% marks.
68% of x = 17
x = 17 / 68%
x = 25
Thus, the required total score for 100% mark is given as 25.
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find the value of xin the triangle shown below
Answer:
[tex]x=80^{\circ}[/tex]
Step-by-step explanation:
Solution 1:
Recall that in an isosceles triangle, the two angles adjacent to the congruent sides are equal. Since the sum of interior angles in a triangle add up to [tex]180^{\circ}[/tex], we set up the following equation:
[tex]x+50+50=180[/tex].
Solving, we get:
[tex]x+100=80,\\x=\fbox{$80^{\circ}$}[/tex].
Solution 2:
The Law of Sines states:
[tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex], for any triangle.
We can use this to set up a proportion with the information given:
[tex]\frac{\sin x}{18}=\frac{\sin 50^{\circ}}{14}[/tex].
Solving, we get:
[tex]x=\arcsin(\frac{18\cdot \sin 50^{\circ}}{14}),\\x \approx \fbox{$80^{\circ}$}[/tex].
A baseball team batted 250 times during the season. During the season they got 120 hits, 60 strikeouts, 50 flyouts and 20 groundouts. What percent of the time that they batted did they make an out?
Answer: 52%
Step-by-step explanation:
The team batted 250 times. In that time, they got 60 strikeouts, 50 flyouts and 20 groundouts.
The total number of out they got was therefore:
= 60 + 50 + 20
= 130 outs
The percent of the time they got outs out of the total is:
= 130/250
= 52%
Maria is bringing her sick dog, Pedro in for a series of appointments at the veterinary clinic. Her total cost over the course of treatment will be $150 for tests and medicine plus $30 per appointment "a". A) Write an equation to show the total cost, "t" she will owe. *
Answer:
t = 150 + 30a
Step-by-step explanation:
Treatment of Pedro costs = Expenditure for tests and medicines + fees given for appointments.
If number of appointments = a
Cost per appointment = $30
Cost of 'a' appointments = $30a
Therefore, equation representing the total cost 't' of the treatment will be,
t = 150 + 30a
i need help with this
Answer: 1/4
Step-by-step explanation: Typing steps
Find the Slope
(−1, −2) , (3, −1)
Slope is equal to the change in y over the change in x, or rise over run.
change in y
m = ---------------
change in x
The change in x is equal to the difference in x-coordinates (also called run), and the change in y
is equal to the difference in y-coordinates (also called r ise).
y2 − y1
m = -----------
x2 − x1
Substitute in the values of x and y into the equation to find the s lope.
m = −1 − (−2) /3 − (−1)
Simplify the numerator.
Multiply −1 by −2.
m = −1 + 2 /3 − (−1)
Add −1 and 2.
m = 1/3 − (−1)
Simplify the denominator.
Multiply −1 by −1.
m = 1/3 + 1
Add 3 and 1.
m = 1/4
Plz help !!!!!!!!!!!!!!!!!!
Answer:
i am sorry i do not understand ill try to look harder ill keep u updated
Step-by-step explanation:
I need help fast!! Giving brainiest!! Please explain how you figured it out too!
Answer: HEYYYY
Step-by-step explanation:
Think you are cheating on a quiz, we are here to help people not to help people cheat on quizzes tho
Please help me ASAP
Answer:
The Graph is shown below
Step-by-step explanation:
The Graph of a Function
Given the function:
[tex]\displaystyle y=g(x)=-\frac{3}{2}(x-2)^2[/tex]
It's required to plot the graph of g(x). Let's give x some values:
x={-2,0,2,4,6}
And calculate the values of y:
[tex]\displaystyle y=g(-2)=-\frac{3}{2}(-2-2)^2=-\frac{3}{2}(-4)^2==-\frac{3}{2}*16=-24[/tex]
Point (-2,-24)
[tex]\displaystyle y=g(0)=-\frac{3}{2}(0-2)^2=-\frac{3}{2}(-2)^2=-\frac{3}{2}*4=-6[/tex]
Point (0,-6)
[tex]\displaystyle y=g(2)=-\frac{3}{2}(2-2)^2=-\frac{3}{2}(0)^2=0[/tex]
Point (2,0)
[tex]\displaystyle y=g(4)=-\frac{3}{2}(4-2)^2=-\frac{3}{2}(2)^2=-\frac{3}{2}*4=-6[/tex]
Point (4,-6)
[tex]\displaystyle y=g(6)=-\frac{3}{2}(6-2)^2=-\frac{3}{2}(4)^2=-\frac{3}{2}*16=-24[/tex]
Point (6,-24)
The graph is shown in the image below
The area of a rectangular pool table is: x2 + 14x +40. What are the dimensions of the table?
Formula: Area = (L) (W)
A(x + 8)(x + 5)
B(x + 20)(x - 2)
C(x + 4)(x + 10)
D(x +14)(x + 40)
Answer:
the width is (x + 4) and the length is (x + 10)
Step-by-step explanation:
The area of a rectangle is given by A = L * W, where L is the length and W the width.
If we factor the given x^2 + 14x + 40, we get (x + 10)(x + 4). Thus, the width is (x + 4) and the length is (x + 10).
I need help please :( !
Answer:
2 Eggs
Step-by-step explanation:
Since it takes her 4 eggs for 2 batches you divide 4 by 2 and get two eggs per batch
HELP PLEASE!! Type the correct answer in each box. The graph shown is not a function because points (-1, 2)
Answer:
(-1,0)
Step-by-step explanation:
Look to see which points have the same x value (in this case -1)
Which number is irrational?
А) (1.5)2
B) root of 41
C root of 49
D (15)2
Answer:
B
Step-by-step explanation:
A. (1.5)2 = 3 which is rational.
B. Root of 41 cannot be expressed as a fraction of p/q, where p and q are integers and q not equal to 0.
C. Root of 49 = 7 which is rational.
D. 15(2) = 30 which is rational
Which plant is the furthest below the surface
of the water?
A. sea grass
B. green seaweed
C. mangrove
D. red algae
Answer: The answer is seagrass
Step-by-step explanation: I did it and got it right
confused with preimeter
To find the perimeter of a shape, you need to add up the measurements of all the sides to find it. I hope this helps. Let me know if you need some help with some perimeter problems :)
6338 divided by 43 with remainder
Answer:
147.395348837
Step-by-step explanation:
6338 divided by 43 gives a quotient of 147 with a remainder of 17.
When dividing 6338 by 43 with remainder, we can perform long division to find the quotient and remainder.
Start by dividing the first digit of the dividend (6) by the divisor (43). The quotient is 0 since 6 is less than 43.
Bring down the next digit of the dividend, which is 3, to the right of the 0. We now have 63.
Divide 63 by 43. The quotient is 1, as 43 goes into 63 once.
Multiply the divisor (43) by the quotient (1) and subtract the result from 63:
63 - (43 x 1) = 63 - 43 = 20
Bring down the next digit of the dividend, which is 3, to the right of the 20. We now have 203.
Divide 203 by 43. The quotient is 4, as 43 goes into 203 four times.
The final remainder is 17.
Therefore, 6338 divided by 43 gives a quotient of 147 with a remainder of 17.
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Three roads intersect to form a large triangular area as shown below.
-5 miles
300
What is the length, to the nearest tenth of a mile, of side x of the triangle?
O A. 2.5 miles
O B. 2.9 miles
O C. 4.0 miles
O D. 4.3 miles
Answer:
b i think
Step-by-step explanation:
when an equation is in standard form you can easily find the x-intercept and y-intercept simply by substituting in ____ for each variable
Answer:
by substituting 0
Step-by-step explanation:
Similarly, any y-intercept will have an x coordinate of 0. Using the standard form of an equation we can easily find the intercepts. To find the x-intercept, we set y=0 and solve for x. To find the y-intercept, we set x=0 and solve for y.
We can complete the given statement as:
When an equation is in the standard form you can easily find the x-intercept and y-intercept simply by substituting 0 for each variable.
What are intercepts?Intercepts are the point of intersection, between the graph of an equation and an axis of the coordinate plane.
We have two intercepts:
x-intercept: The point at which the equation intersects the x-axis. This point is taken as (a,0), as any point on the x-axis has a y-coordinate = 0.y-intercept: The point at which the equation intersects the y-axis. This point is taken as (0, b), as any point on the y-axis has an x-coordinate = 0.How to solve the question?In the question, we are asked: when an equation is in the standard form you can easily find the x-intercept and y-intercept simply by substituting in ____ for each variable.
We know that the x-intercept has a y-coordinate = 0. Thus, when we substitute the value of y = 0, in the equation, we get the x-intercept 'a', as the point (a, 0) satisfies the equation.
We know that the y-intercept has an x-coordinate = 0. Thus, when we substitute the value of x = 0, in the equation, we get the y-intercept 'b', as the point (0, b) satisfies the equation.
Thus, we can complete the given statement as:
When an equation is in the standard form you can easily find the x-intercept and y-intercept simply by substituting 0 for each variable.
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can i have some help pls
The ratio of boys to girls in a class is 3:5. There are 40 students in the class. How many more girls than boys are there?
Answer:
3x+5x=40
=8x=40
=x=5
then no.of boys= 3×5 = 15
and no. of girls= 5×5=25
girls more than boys= 25-15=10
mark me brainliest
pls it takes too much time to solve this
Answer:
There will be 10 more girls than boys in the class.
Step-by-step explanation:
5x+3x=40
8x = 40
8x/8 = 40/8
x = 5
5*2 = 10
The length of a rectangle is 3 cm greater than its
width. Its area is 108 cm. Find the dimensions
of the rectangle.
The length is 12 cm and width is 9 cm.
what is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Area = 108 cm²
and, The length of a rectangle is 3 cm greater than its width.
let the width of rectangle be x.
so, length = x+ 3
So, Area of Rectangle = l x w
108 = x(x+ 3)
x² + 3x -108 = 0
x² + 12x - 9x -108 = 0
x( x+ 12) -9 ( x+ 12)= 0
(x + 12)(x- 9)=0
x= -12, +9
So, length is 12 cm and width is 9 cm.
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