Answer:
the greatest common factor here is 5, because 5 is it's own biggest number that is a factor of 15. so factoring this problem using 5 (gcf), would leave you with 5(x-3) because you divided each number by the gcf (5)
Roscoe traced around the bottom of a can to draw a circle. tell whether each statement about Roscoe 's circle is true. use 3.14 for pie
Answer with Step-by-step explanation:
a.If the circle has circumference of [tex]6\pi[/tex] in,then it has a diameter of 3 in.
Circumference of circle=[tex]6\pi[/tex]in
We know that
Circumference of circle=[tex]2\pi r[/tex]
Using the formula
[tex]6\pi=2\pi r[/tex]
[tex]r=\frac{6\pi}{2\pi}=3[/tex]in
Diameter of circle=[tex]2\times 3=6[/tex]in
It is false.
b.f the circle has diameter of 2 inches,then it has a circumference of 6.28 in.
Diameter,d=2 in
Circumference of circle=[tex]\pi d=3.14 \times 2=6.28[/tex]in
It is true.
c.If the circle has a circumference of [tex]2\pi[/tex]in then it has an area [tex]\pi[/tex] square inches.
Circumference=[tex]2\pi[/tex]in
[tex]2\pi r=2\pi[/tex]
[tex]r=\frac{2\pi}{2\pi}=1[/tex]in
Area of circle=[tex]\pi r^2=\pi(1)^2=\pi in^2[/tex]
It is true.
d.If the circle has a circumference of [tex]\pi[/tex]in then it has an area [tex]0.5\pi[/tex] square inches.
Circumference=[tex]\pi[/tex]in
[tex]2\pi r=\pi[/tex]
[tex]r=\frac{\pi}{2\pi}=\frac{1}{2}in[/tex]
Area of circle=[tex]\pi(\frac{1}{2})^2=0.25\pi in^2[/tex]
It is not true.
e.If the circle has a radius of 1.5 inches,then it has an area of 7.065 square inches.
Radius,r=1.5 in
Area of circle=[tex]3.14\times (1.5)^2=7.065in^2[/tex]
It is true.
solve for x
if you do ill give brainliest
Answer:
x = 9
Step-by-step explanation:
6² = 4·x
36 = 4x
x = 36/4
x = 9
Answer: x=9
X/6= 6/4
Crosses multiply
4x=36
Divide by 4
X=9
Step-by-step explanation:
The garden bed has a width of 1.5 meters and an area of 6 square meters . Which Equation and Solution correctly represent x , the length , in meters , of the rectangular garden bed
Answer: The answer is 4!
6/1.5= 4
I need help with this ASAP
Answer:
60 degrees
Step-by-step explanation:
These two shapes are similar, which means that their corresponding angles are congruent.
Angle L corresponds to angle X. We know that <L = 60, which means that <X is also equal to 60.
Thus, the answer is 60 degrees.
Hope this helps!
Answer:
60°
Step-by-step explanation:
The two figures are similar and they have the same distribution of angles.
Angle X corresponds to Angle L = 60°
It takes Carol 45 minutes to drive to work using two roads. She drives 24 mph on a small road for hour. Then she drives 56 mph on a highway for hour. How far does Carol travel to work?
Answer:
She travels 30 miles for work.
Given,
Total time = 45 minutes
Speed on small world = 32mph
Time on small world = 1/2 hour
Distance = Speed * time =
Distance on small world = 16 miles
Speed on small road = 56mph
Time on small road = 1/4 hour
Distance on small road =
Distance on small road = 14 miles
Total distance = Distance on small world + Distance on small road
Total distance = 16+14= 30 miles
She travels 30 miles for work.
Keywords: Distance, speed
Step-by-step explanation:
Final answer:
Carol travels 12 miles on the small road and 28 miles on the highway, totaling 40 miles to get to work.
Explanation:
The question asks us to calculate the total distance Carol travels to work using two different speeds on two different roads. To solve this problem, we use the formula d = vt, where d represents distance, v is velocity (or speed), and t is time.
On the small road, Carol drives at 24 miles per hour for half an hour (0.5 hours). Therefore, the distance traveled on the small road is:
d = (24 miles/hour)(0.5 hours) = 12 miles
On the highway, she drives at 56 miles per hour for half an hour (0.5 hours) as well. The distance traveled on the highway is:
d = (56 miles/hour)(0.5 hours) = 28 miles
To find the total distance, we add the distances from both roads:
Small road: 12 milesHighway: 28 milesTotal distance = 12 miles + 28 miles = 40 miles
Carol travels a total of 40 miles to get to work.
Find all constants α such that the vectors (α, 4) and (α, 5) are parallel.
Answer:
[tex]\alpha_{2} = \frac{5}{4}\cdot \alpha_{1}[/tex], for all [tex]\alpha_{1} \in \mathbb{R}[/tex]
Step-by-step explanation:
Vectors are parallel to each other if:
[tex]\vec u = \beta \cdot \vec v[/tex]
[tex](\alpha_{2}, 5) = (\beta\cdot \alpha_{1}, \beta \cdot 4)[/tex]
The value of [tex]\beta[/tex] is:
[tex]\beta = \frac{5}{4}[/tex]
Then, the following relationship is found:
[tex]\alpha_{2} = \frac{5}{4}\cdot \alpha_{1}[/tex], for all [tex]\alpha_{1} \in \mathbb{R}[/tex]
A textbook store sold a combined total of 448 physics and biology textbooks in a week. The number of biology textbooks sold was 66 less than the number of physics textbooks sold. How many textbooks of each type were sold?
Answer:
Step-by-step explanation:
448 - 66 = 382
448 physics books and 382 biology books
Please help me with this one!
Answer: 184
Step-by-step explanation: i looked
what is the third step when calculating mean absolute deveation
Answer:
Step 1: Calculate the mean. Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations. Step 3: Add those deviations together. Step 4: Divide the sum by the number of data points.
Step-by-step explanation:
Daniel’s school is selling tickets to the annual talent show. On the first day of ticket sales, the school sold 8 senior citizen tickets and 8 child tickets for a total of $136. The school took in $138 on the second day by selling 9 senior citizen tickets and 4 child tickets. What is the price each of one senior citizen ticket and one child ticket?
Answer:
the answer is 17
Step-by-step explanation:
You divide 8 and 136 and get 17, you multiply 17 and 8 to double check your answer, Hope this helps :P!
Please help me with this I will mark you as brainliest!
Answer:
21, 42, 63, 84
Step-by-step explanation:
Numbers that have a star and a circle on them are all multiples of 3 and 7. As there are less multiples of 7 between 1-100 we should list the multiples of 7 and then check if they are also multiples of 3.
7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98
A quick way of calculating if a number is a multiple of 3 is to see if its digital root is either 3, 6, or 9
7 is not as 7 is not a multiple of 3
14 is not as 1+4 = 5 is not a multiple of 3
21 is, as 2+1 = 3 is a multiple of 3
28 is not, as 2+8 = 10 is not a multiple of 3
35 not, 3+5=8
42 is, 4+2=6
49 is not, 4+9=13
56 is not , 5+6=11
63 is, 6+3=9
70 is not, 7+0=7
77 is not, 7+7=14, 1+4=5
84 is, 8+4=12, 1+2=3
91 is not, 9+1=10 1+0 = 1
98 is not, 9+8=17, 1+7=8
A construction company purchased seven house lots of the following sizes:
1 ⅜ acres, 2 ⅛ acres, l ⅛ acres, l ¾ acres, and 2 ¼ acres. What is the range of these
lot sizes?_
Answer:
between 1 1/8 acres and 2 1/4 acres
Step-by-step explanation:
ax2 + bx + c
Factor the trinomial 7x2 – 3x – 4.
Which pair of numbers has a product of ac and a sum
of b?
ac
What is the factored form of the trinomial?
Answer: (7x + 4)(x - 1)
Step-by-step explanation:
7x^2 - 3x - 4
ax^2 = 7x^2
bx = -3x
c = - 4
4 x -7 = -28
4 + -7 = -3
4 and -7 are the number which ahs the product of ac = -28 and b = -3.
factored form : [tex]7x^{2} - 7x + 4x - 4[/tex]
= [tex]7x(x - 1) + 4(x - 1)[/tex]
= [tex](7x + 4)(x - 1)[/tex]
Answer:
1. -7 and 4
2. (7x + 4)(x - 1)
Work out the percentage change when a price of £65 is decreased to £39.
Answer:
40% decrease
Step-by-step explanation:
Say the percent decrease is x%. Then, we can write the equation:
65 - x% * 65 = 39
Notice that 65 is a common factor of both terms on the left, so factor that out:
65 * (1 - x%) = 39
Divide by 65 on both sides:
1 - x% = 0.6
Subtract 0.6 from and add x% to both sides:
x% = 0.4
Remember that % simply means "out of 100", so x% = x/100:
x/100 = 0.4
Multiply by 100:
x = 40
So the percentage decrease is 40%, or the percent increase is -40% (whichever way the question asks).
Hope this helps!
Answer:
p = 40%
Step-by-step explanation:
65 - p%65 = 39
65 - 65p/100 = 39
6500 - 65p = 3900
6500 - 3900 = 65p
65p = 2600
p = 2600 : 65
p = 40%
HELP PLEASE HELP I GIVE 10 POINTS
Answer:
The second one
Step-by-step explanation:
A linear function will always increase or decrease by the same amount:
The first one adds eight for every increase of 1 in the x value
The third one subtracts three for every increase of 1 in the x value
However,
The second one starts by adding three, and then adds 1.5 for the rest
The second table is nonlinear
Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,980 was collected on the sale of 1,236 tickets. How many of each type of ticket were sold?
Answer:
750 adult tickets
486 student tickets
Step-by-step explanation:
5 x 150=750 adult tickets
486 student tickets
Plz give brainliest need 1 more
Please help !!!!!
I need it asap
Answer:
just do your homework
Step-by-step explanation:
Answer:
answer is the page is to blurry for my windows 95 can you make it into a better picture so i can help
Step-by-step explanation:
Will make brainliest if answered correctly
our family is driving to the beach. You travel 200 kilometers in the first two hours. During the next hour, you stop for lunch and only travel 25 kilometers. What was your average speed? *
Answer:
3.75Km
Step-by-step explanation:
to find Average speed you do distance over time so it would be 225/25=3.75
what is the value of w
Answer: 126 degrees
Formula number of sides -2 times 180 = total degrees for polygon
5-2=3x180= 540
Add the 78+132+137+67=414
540-414= 126
Step-by-step explanation:
what is the radius of the cone ? I need help
Answer:
4
Step-by-step explanation:
pi*r^2
just put each number where r is to find out the answer
What is the slope of y=-x+7
Answer:
The slope is -1
Step-by-step explanation:
y=mx+b where m is the slope
y =-x+7 can be also be written as y=-1x +7
So therefore the number infront of x is considered the slope
-1
Answer:
Slope m = − 1
Y-intercept = 7
What are the domain and range of f(x) = 2|x – 4|? domain: x <= 2; range: (-infinity,infinity) domain: (-infinity,infinity); range: f(x)>= 0 domain:(-infinity,infinity); range: f(x) <= 0 domain: x>= 2; range: (-infinity,infinity)
Answer:
domain: (-infinity,infinity);
range: f(x)>= 0
Step-by-step explanation:
f(x) = 2|x – 4|
The domain is the input values or the values that x can take
We can use any value we want for x
Domain: -infinity to infinity
The range is the output values
Since it is an absolute value, the smallest value it can take is 0, it can increase as large as it wants
Range: 0, infinity
what is the range and domain of a cube root function
Answer:
Domain: (-infinity, infinity), Range: (-infinity, infinity)
Step-by-step explanation:
This is an odd function. The graph passes through (0, 0), starting in Quadrant 3 and continuing into Quadrant 1.
There is a point on the graph for every input value, and so the domain of the cube function is (-infinity, infinity). Similarly, the range is (-infinity, infinity).
The range and domain of a cube root function are [0, ∞).
What is the range and domain of a function?A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.
The domain is for the independent variable while the range is for the dependent variable.
For example f(x) = x²
Now if we put x = 1 then it is called as domain variable while the value of function at x = 1 its that f(1) = 1 called range variable.
Cube root function is given as;
y = [tex]x^{1/3}[/tex]
Now as x increases (x > 0) y is also increasing although slower to x then still it is increasing.
So,
x → ∞ ⇒ y → ∞
For x < 0 it will become an imaginary number so it will not be defined.
Hence "The range and domain of a cube root function are [0, ∞)".
For more details about the range and domain of the function,
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Alberts sixth grade class will have five test for social studies they already have two of Alberts grades for these two tests are shown below. If Albert wants the mean of his five tests to be 90 what could be his last three grades. Test 1 was an 85 Test two was a 100
Mark owns a cattle ranch near Hugo, Oklahoma. Mark is currently producing beef at an output level where marginal revenue exceeds marginal cost. In order to
maximize his profit, Mark should
O A. decrease his output.
OB. shut down his ranch.
O c. not change his output.
OD. increase his output.
O E. probably change his output, but more information is needed to determine if he should increase, decrease, or not change it.
Answer:
Answer is D. Increase his output.
Refer below.
Step-by-step explanation:
Mark owns a cattle ranch near Hugo, Oklahoma. Mark is currently producing beef at an output level where marginal revenue exceeds marginal cost. In order to
maximize his profit, Mark should increase his output.
Solve for x
Your answer must be simplified.
x/-6 ≥−20
Answer: x ≤ 120
Step-by-step explanation: To get x by itself in this inequality, since it's being divided by -6, we must multiply both sides by -6 just like we would if we were solving an equation.
But here is the trick you have to
watch out for with inequalities.
When you multiply or divide both sides of an inequality by a
negative, you must switch the direction of the inequality sign.
So our second step in this problem reads x ≤ 120.
Please give this idea your full attention. Even the most advanced algebra students will sometimes forget to switch the direction of the inequality sign when multiplying or dividing both sides of an inequality by a negative.
Which equation represents:
"An unknown integer, multiplied by the unknown integer minus a different unknown integer, equals 100."
A) x2 + xy + 100 = 0
B) x2 + xy − 100 = 0
C) x2 − xy + 100 = 0
D) x2 − xy − 100 = 0
Answer:
D) x² − xy − 100 = 0
Step-by-step explanation:
You want an expression for "An unknown integer, multiplied by the unknown integer minus a different unknown integer, equals 100."
SetupLet x represent the unknown integer, and y represent the different unknown integer. Their difference will be (x -y). When that is multiplied by x and the result equal to 100, we have ...
x(x -y) = 100
SimplifyEliminating parentheses using the distributive property, we have ...
x·x -x·y = 100
x² -xy = 100
Subtracting 100 gives an expression equal to zero:
x² -xy -100 = 0 . . . . . . . matches choice D
Question 1 (1 point)
Jackson created a model of one of the Great Pyramids shown below. What is the volume of the model?
6 cm
7 cm
8 cm
Answer: 112cm
Step-by-step explanation: to find the volume of a pyramid you do L*W*H/3 so if the dimensions are 6,7 and 8 all you have to do is multiply 6 by 7 ( thats 42) and then 42 times 8 (336) then divide by 3 which will get you 112.
Any help? Will mark you as brainliest for the correct answer
Answer:
see explanation
Step-by-step explanation:
Given that 40 people liked cats, that is 20 women and 20 men
Then the dual bar representing 20 is made up of 4 frequency bars
Then each frequency bar represents 20 ÷ 4 = 5 people
Thus
dogs = 25 (men) + 30 (women) = 55
hamster = 15 ( men) + 5(women) = 20
other = 10(men) + 15(women) = 25
Favourite pet frequency table
favourite pet frequency
cat 40
dog 55
hamster 20
other 25
A total of 40 + 55 + 20 + 25 = 140
A bag contains 4 red marbles and 1 yellow marble. What is the probability of drawing a red marble, then replacing that marble, then drawing a red marble again on the second pick?
Answer:
16/25
Step-by-step explanation:
We have 4 red marbles and a total of 4 + 1 = 5 marbles.
Probability is simply (# times a specific event can occur) / (# times any event can occur).
Here, the probability of drawing a red marble is: 4/5 (because there are 4 red marbles to choose from and a total of 5 marbles to choose from).
We replace the marble afterward, so the probability that the second pick is also red would still be 4/5.
Then, multiply the two fractions together: (4/5) * (4/5) = 16/25.
Hope this helps!