Answer: We have two solutions:
1000-998=2
or
1001 - 999 = 2
Find the radius of a circle with the arc length of 69 cm and a central angle measure of 81°
convert 81°into radian
81°=(81×pie/180)=9pie/20 pie=22/7
now,
radius=arc length/θ in radian
then 69/(9pie/20)
=48.79
Which expression has a greater value?
(2,040329) x 5
2,040329
Answer:
2,040329×5
Step-by-step explanation:
you are multiplying 5 more to the number so it will be 5 times larger than the other number
Answer: (2,040329) x 5 =10.201645
Step-by-step explanation:
they are both equal too so its neither is greater
Kendra is making a large salad for a party. She buys lettuce for $2.25 per pound and tomatoes for $2.65 per pound. She spends at
least $8.
Let x represent the number of pounds of lettuce that Kendra buys. Let y represent the number of pounds of tomatoes that Kendra
buys.
Which inequality represents this situation?
Answer:
(D)
Step-by-step explanation:
Given that Kendra is making a large salad for a party. She buys lettuce for $2.25 per pound and tomatoes for $2.65 per pound. She spends at least $8.
x represent the number of pounds of lettuce that Kendra buys and y represent the number of pounds of tomatoes that Kendra buys.
We are to select the inequality that represents the situation.
We have
total amount of money that Kendra spends on lettuce is given by
and the total amount of money that she spends on tomatoes is
Therefore, the inequality can be written as
Thus, option (D) is CORRECT.
It is so hot that Craig's cousins ask him to make creamy mango smoothies. First, Craig blends 5 cups of mango, 1 quart of yogurt, and 3 cups of crushed ice. Then, he divides the smoothie evenly among 6 large glasses. How many cups of smoothie does he put in each glass?
Answer:
2 Cups
Step-by-step explanation:
First of all you need to add all of the ingredients together, which would total 12 cups of smoothie. Also important to add is that 1 quart is 4 cups. Then you have 12/6 which equals 2!
The cups of smoothie in each glass is 2 cups.
How many cups of smoothie is in each glass?In order to determine the number of cups of smoothie that would be put in each glass, it should be ensured that the measures of the ingredients are in the same unit.
The first step is to determine the total cups of smoothie that Craig makes.
In order to determine the total cups, quart has to be converted to cups
1 quart = 4 cups
Total number of cups = 5 + 4 + 3 = 12 cups
The next step is to determine the cups in each glass.
Cup of smoothie in each glass = total number of cups of smoothie / total number of large cups
12 / 6 =2 cups.
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7. Find the length of the rectangle below:
Area= 1445 in²
length = ?
17 in.
Answer: 85 in
Step-by-step explanation:
A=Area of rectangle. L=length of rectangle. W=width of rectangle
A=L*W
1445=L*17
1445/17=L*17/17
L=85 in
If you double a number and then subtract eight the result is 18. Which equation below could be used to represent the situation?
Answer: 2x - 8= 18
2x - 8=18
2x=26
x= 13
Please solve for meeee
Answer: 58 degrees
Step-by-step explanation:
a+b=90 ==> angles a and b are on a right angle which measures 90 degrees.
32+b=90
b=58 degrees
x^x = 2^2048
solve for x
x=256
[tex] {256}^{256} = ( { {2}^{8} })^{256} = {2}^{8 \times 256} = {2}^{2048} [/tex]
where RS=8y+5, ST=3y+4, and RT=97.
a. What is the value of y?
b. Find RS and ST
The answer of part a is y = 8
The answer of part b is RS = 69, ST = 28
Step-by-step explanation:
a. Since RT = RS + RT, subsitute values of RS and RT in the equation
97 = (8y + 5) + (3y + 4)
97 = 11y + 9
97 - 9 = 11y
88 = 11y
y = 8
b. Subsitute the value of y in RS and ST just like done in part a
pls help asap I’ll give brainliest immediately.. plsss..
Answer:
You have the right form (vertex form). All that you have left to do is learn what parts of the equation signify what.
Step-by-step explanation:
Explanation:
In a quadratic function of form y = a
(
x
−
p
)
2
+ q, the axis of symmetry is found at x = p. As a result, in y = -4
(
x
−
8
)
2
+ 3, the axis of symmetry is at x = 8, since the formula is x - p = x - (+8).
The vertex of a parabola is at (p, q). As for the axis of symmetry, the p value is 8, and in this function the q value is 3. So the vertex is at (8,3).
With this information, the x and y intercepts, and a few other points found by plugging in x values and solving for y, you will be able to graph this parabola. Your graph, if done properly, will look like the following:
graph{y = -4(x - 8)^2 + 3 [-20, 20, -10, 10]}
Which is the order from least to greatest of the following: seventh fifths, 0.4, one-eighth, seventy-five percent?
A. 0.4, seventy-five percent, seven-fifths, one eighth
B. one-eighth, 0.4, seventy-five percent, seven fifths
C. 0.4, one-eighth, seventy-five percent, seven fifths
D. seventy five percent, one-eighth, 0.4, seven fifths
BTW this is FLVS
The order from least to greatest of the numbers will be B. one eighth, 0.4, seventy five percent, seven fifths.
How to oder the numbers?It should be noted that 7/5 = 1.4
It should be noted that 1/8 = 0.125
It should be noted that 75% = 0.75
Therefore, the ordering of the numbers from least to greatest will be one eighth, 0.4, seventy five percent, seven fifths.
In conclusion, the correct option is B.
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Answer:
b
Step-by-step explanation:
I need help on question 1-6
Will be mark brainlist
Answer:Look
Step-by-step explanation: Look and solve its not that hard
How do I find the area of a rectangle with three different side lengths.
Answer:
See explanation
Step-by-step explanation:
If two of the side lengths are equal, use only one of those two equal side lengths. Then, using that one side length, multiply that side length with the third side length to get the area.
side length a, b, and c.
a=b.
A=area.
A=b*c ==> Area of rectangle
Solve the equation and determine the solution(s) or any extraneous solution.
Answer:
Solution: x = 9 Extraneous solution: x = 1
Step-by-step explanation:
Given equation:
[tex]\sqrt{4x}=x-3[/tex]
Square both sides:
[tex]\implies \left(\sqrt{4x}\right)^2=\left(x-3\right)^2[/tex]
[tex]\implies 4x=x^2-6x+9[/tex]
Subtract 4x from both sides:
[tex]\implies 4x-4x=x^2-6x+9-4x[/tex]
[tex]\implies 0=x^2-10x+9[/tex]
[tex]\implies x^2-10x+9=0[/tex]
Split the term in x:
[tex]\implies x^2-x-9x+9=0[/tex]
Factor the first two terms and the last two terms separately:
[tex]\implies x(x-1)-9(x-1)=0[/tex]
Factor out the common term (x - 1):
[tex]\implies (x-9)(x-1)=0[/tex]
Apply the zero-product property:
[tex](x-9)=0 \implies x = 9[/tex]
[tex](x-1)=0 \implies x=1[/tex]
Substitute the found values of x into the original equation to verify the solutions:
[tex]\begin{aligned}x=9 \implies \sqrt{4 \cdot 9} & = 9-3\\\sqrt{36} & = 6\\6 & = 6\end{aligned}[/tex]
[tex]\begin{aligned}x=1 \implies \sqrt{4 \cdot 1} & = 1-3\\\sqrt{4} & = -2\\ 2 & = -2\end{aligned}[/tex]
Therefore, the only valid solution is x = 9:
Solution: x = 9Extraneous solution: x = 1Extraneous solution: A solution from the process of solving the equation that is not a valid solution to the original equation.
What is the domain and range for this problem?
Answer:
2-18
2,5
7,18
Step-by-step explanation:
sam had a yard sale. the next day he made a deposit with no cash back. he deposited 28 twenties, 18 tens, 32 fives, 20 ones, 18 quarters and checks for $22, $18.18 and $67.04. what was the amount of his deposit?
The total amount of money Sam deposited is $1,031.72.
Given that, Sam deposited 28 twenties, 18 tens, 32 fives, 20 ones, 18 quarters and checks for $22, $18.18 and $67.04.
We need to find out what was the amount Sam deposited.
What is the sale?Add the rate to the purchase price to determine the discount. Subtract the discount from the original price to arrive at the sale price.
The discounted price at which products or services are being sold is known as a sale price.
Now, total money = 28×20+18×10+32×5+20×1+18×0.25+22+18.18+67.04
=560+180+160+20+4.5+22+18.18+67.04
=1,031.72
Therefore, the total amount of money Sam deposited is $1,031.72.
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Alan found 444 marbles to add to the 555 marbles in his collection. Then, he went to the store and tripled the number of marbles he had.
Which numerical expression shows the amount of marbles Alan has now?
Choose 1 answer:
Choose 1 answer:
The numerical expression that shows the amount of marbles that Alan has now is; 3(5 + 4)
How to solve algebra word problems?
We are told that he found 4 marbles to add to the 5 marbles in his collection.
Thus, after addition, total number of marbles is;
5 + 4 = 9 marbles
Now, we are told that he tripled this sum of marbles he had. Thus;
Tripling of marbles = 9 * 3
Thus, the numerical expression that shows the amount of marbles that Alan has now is;
3(5 + 4)
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Correct question is;
Alan found 4 marbles to add to the 5 marbles in his collection. Then, he went to the store and tripled the number of marbles he had.
Which numerical expression shows the amount of marbles Alan has now?
A particular shade of paint is made by mixing five parts of red paint with seven parts of blue paint. To make the correct shade, Shannon makes 12 quarts of blue paint with 8 quarts of red paint. Did Shannon mix the correct shade? Explain.
We get that Shannon did not mix the correct shade as the ratios are not equal.
We are given that a particular shade of paint is made by mixing five parts of red paint with seven parts of blue paint.
This means that the ratio of the paints in that shade is
Red : Blue = 5 : 7.
Now, we are also given that to make the correct shade, Shannon makes 12 quarts of blue paint with 8 quarts of red paint.
Here the ratio becomes:
Red : Blue = 8 : 12
= 4 : 6
= 2 : 3
Now, since both the ratios are not equal, he did not mix the correct shade.
Therefore, we get that Shannon did not mix the correct shade as the ratios are not equal.
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2) A Zookeeper needs 876 kilograms of food to feed the animals. She has 287 kilograms of food now. How much more food does she need to buy?
Answer:
She will need to buy 589 kilograms.
Step-by-step explanation:
Bill weighs 240 pounds and is losing two pounds each month . Phil weighs 290 pounds and is losing 4 pounds each month . How many months , m, will it take Bill to weigh the same as Phil
They will weigh the same at twenty-five months.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
Let the number of months when they will weigh the same would be m
Given that Bill is losing two pounds per month and is currently 240 pounds.
So his model expression of weight would be: 240 - 2m
And Bill is losing four pounds per month and is currently 290 pounds.
So his model expression of weight would be: 290 - 4m
As per the condition, they will weigh the same
⇒ 240 - 2m = 290 - 4m
⇒ 4m - 2m = 290 - 240
⇒ 2m = 50
⇒ m = 25
Therefore, they will weigh the same at twenty-five months.
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Suppose you start at the origin, move along the x-axis a distance of 2 units in the positive direction, and then move downward a distance of 9 units. What are the coordinates of your position?
The coordinates of our position after moving up and down will be (0, -7)
We are given a coordinate plane and we are standing at the origin of the plane.
That is, our position is (0, 0).
Now, we move 2 units in the positive direction.
So, now our position will be:
(0, 2)
Then, we move downward a distance of 9 units.
So, our position will now become:
(0, 2 - 9)
(0, -7)
Therefore, the coordinates of our position after moving up and down will be (0, -7)
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What is the decimal rule for:
1.2 x (-5) = ?
Cause I got -60 but the answer was -6 and I’m confused. Explanation?
Answer:
-6
Step-by-step explanation:
1.2 = 12/10
so
12/10 x (-5) = -60/10 = -6
I NEED HELP ASAP WITH THESE QUESTIONS
1. The sum of twice a number and 5
2. Twice the sum of a number and 5
3. The square of five more than a number
Answer:1.2x+5 2.2(x+5) 3.(x+5)^2
Step-by-step explanation:
What is the length of segment FE?
What is the length of segment FG?
What is the length of segment FH?
PLEASE ANSWER FAST! I WILL GIVE BRAINLIEST!
Chika's uncle makes perfect brownies. Chika noted how much sugar he uses based on how many batches he makes:
Number of batches 222 333 444
Sugar (\text{kg}kgstart text, k, g, end text) 0.60.60, point, 6 0.90.90, point, 9 1.21.21, point, 2
Chika has 2.25\,\text{kg}2.25kg2, point, 25, start text, k, g, end text of sugar, and she wants to make as many batches as possible for a bake sale. She can make partial batches, and she has more than enough of the other ingredients.
How many batches can Chika make?
Proportionately, the number of batches that Chika can make with 2.25kg of sugar is 7.5.
What is proportion?Proportion is the ratio of a variable in the whole.
Proportion shows how much quantity is contained in a variable.
Proportions are represented in decimals, percentages, and fractions.
Data and Calculations:Number of Batches 2 3 4
Sugar (kg) 0.6 0.9 1.2
Proportion of sugar
per batch 0.3 0.3 0.3
Chika's sugar ingredient = 2.25 kg
The number of batches Chika can make = 7.5 (2.25/0.3)
Thus, the number of batches that Chika can make with 2.25kg of sugar is 7.5.
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A cookie factory used 461.01 kilograms of chocolate chips to make 97 batches of cookies. To the nearest hundredth of a kilogram, how many kilograms of chocolate chips did the factory put in each batch?
Answer:
we will need to to divide the given amounts of kilograms to the amount of batches of cookies made
461.01÷97
=4.75
(this is rounded off)
please help me w this
To solve this problem we need to be aware of the concepts of angles in a circle. Also we need to know what is a major angle and what is a minor angle.
That major part of an angle is equal to (360-minor part of the angle).
We know the total angle in a circle is 360°.
Here, ∠SKL=120+2x; ∠JKS=28° and ∠JKL=x+148.
Sum of all the angles will give us 360°.
According to question,
∠SKL+∠JKS+∠JKL=360°
⇒(120+2x)°+28°+(x+148)°=360°
⇒3x+296°=360°
⇒3x=360°-296°
⇒x=[tex]\frac{64}{3}[/tex]
∴ x=21.3
Hence, the value of x is 21.3 in the given problem.
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Solve the inequality: c² < − 3c + 70
Answer:
Answer is (-10,7) and inequality form: -10<c<7
Step-by-step explanation:
First factor the equation.
(c+7)(c-10)
Then find out which intervals make (c+7)(c-10)<0.
What is x in this equation .3=.5x-.7
By solving the linear equation it can be obtained that
The value of x is 2
What is a linear equation?
At first it is important to know about equation
Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.
A one degree equation is known as linear equation.
The given linear equation is
0.3 = 0.5x - 0.7
0.5x = 0.3 + 0.7
0.5x = 1
x = [tex]\frac{1}{0.5}[/tex]
x = 2
The solution of this linear equation is x = 2
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AP Calculus ab question: what is the derivative function, f'(x), using the definition of derivative for : f(x) = 3X^2 + 1. Please show your work with the method shown below:
f'(x)= lim (h->0) [f(x+h) - f(x)] /h
Answer: f'(x)=6x
Step-by-step explanation:
f'(x)= lim (h->0) [f(x+h) - f(x)] /h
f'(x)= lim (h->0) [3(x+h)^2 + 1 - (3x^2 + 1)] /h
f'(x)= lim (h->0) [3(x^2+2hx+h^2) + 1 - 3x^2 - 1] /h
f'(x)= lim (h->0) [3x^2+6hx+3h^2 - 3x^2] /h
f'(x)= lim (h->0) [6hx+3h^2] /h
f'(x)= lim (h->0) [6x+3h]
f'(x)= [6x+3(0)]
f'(x)=6x
