Answer:
20%
Step-by-step explanation:
To change a fraction to a percentage , multiply by 100%
\(\frac{8}{40}\) × 100%
= 0.2 × 100%
= 20%
The sum of two numbers is 217. The difference between them is 43. Find the two numbers.
Answer:
The numbers are 87 and 130
Step-by-step explanation:
Call the numbers x and y\(x+y=217\) [1]\(y-x=43\) [2]Rearrange [2] to make y the subject\(y=43+x\) [3]Substitute [3] into [1]\(x+(43+x)=217\)\(2x+43=217\)\(2x=174\)\(x=87\) [4]Use [4] for [2]\(y-87=43\)\(y=130\)100 POINTS PLEASE ANSWER IM BEGGING YOU!!!
Answer:
A (1/7)
Step-by-step explanation:The square root goes into 1 and 49 turning them into 1 and 7, which means it's a real number and u get A.
Answer:
1/7
Step-by-step explanation:
If you multiply 1/7 by 1/7 you get 1/49. That is why it is the square root.
Solve the inequality 2n – 1 < 39
Answer:
n < 20
Step-by-step explanation:
2n – 1 < 39
Add 1 to each side
2n – 1+1 < 39+1
2n < 40
Divide each side by 2
2n/2 < 40/2
n < 20
dixie drinks 2 cupsof water in five minutes while dale drinks 10 cups of water in 12 minutes. who drinks the greater number of cups per minute
Answer: dale
Step-by-step explanation:
2÷5=0.4(Cups/minute).........dixie
10÷12=0.833∞(Cups/minute)..........dale
0.8333>0.4
Which doubles fact helps you solve 8+7=15? Write the number sentence.
Answer:
8+8, & 7+7.
Step-by-step explanation:
They help because you can add 8+8 and get 16, and just subtract 1. When you add 7+7 you get 14, and you add 1
Can u help me with this?
Answer:
b
Step-by-step explanation:
it is the right answer pls believe me
how many pence are there in twenty three pounds
Answer:
2300 pence
Step-by-step explanation:
1 pound = 100 pence
To calculate how many pence in 23 pounds, multiply 23 by 100:
⇒ £23 = 23 × 100 p = 2300 pence
A bucket contains 72 red, 48 blue, 48 green, and 48 yellow crayons. The art teacher also has 120 pieces of drawing paper. What is the largest number of identical kits the art teacher can make with all of the crayons and all of the paper?
The art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper for proper distribution.
To determine the largest number of identical kits the art teacher can make using all the crayons and drawing paper, we need to find the greatest common divisor (GCD) of the quantities.
The GCD represents the largest number that can divide all the quantities without leaving a remainder.
The GCD of the quantities of crayons can be found by considering the prime factorization:
72 = 2³ × 3²
48 = 2⁴ × 3
48 = 2⁴ × 3
48 = 2⁴ × 3
The GCD of the crayons is 2³ × 3 , which is 24.
Now, we need to find the GCD of the quantity of drawing paper:
120 = 2³ × 3 × 5
The GCD of the drawing paper is also 2³ × 3 , which is 24.
Since the GCD of both the crayons and drawing paper is 24, the art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper.
Each kit would contain an equal distribution of crayons and drawing paper.
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Louise had 425 marbles. She sold them in bags of 25. How many bags of
marbles did Louise have to sell? ?
Answer: 17 bags
Step-by-step explanation:
425/25= 17
Multiply (x+2)(x-7) Show your work in the box
Basketball shoes are on sale for 22% off. What is the regular price if the sale price is $42?
Answer:
x =53.85
Step-by-step explanation:
Let x be the original price
If the price is 22% of, you will pay 100% -22% = 78%
x * 78% = 42
Change to decimal form
.78x = 42
Divide each side by .78
.78x/.78 = 42/.78
Rounding to the nearest cent
x =53.85
50 Points! Multiple choice algebra question. One factor of x^3+4x^2-11x-30=0 is x+2. Find the remaining factors. Photo attached. Thank you!
The solution to the above algebra question is (b) x-3, x+5.
What is the explanation for the above response?To find the remaining factors of the polynomial x^3+4x^2-11x-30=0, we can use polynomial long division or synthetic division. However, since we are given that x+2 is a factor of the polynomial, we can use synthetic division to simplify the process.
We set up the synthetic division table as follows, using -2 as the divisor:
-2 | 1 4 -11 -30
|____-2__-4___30
| 1 2 -15 0
The bottom row of the table represents the coefficients of the quadratic polynomial obtained by dividing x^3+4x^2-11x-30 by x+2. The last term of the quadratic is 0, which indicates that x+2 is a factor of the polynomial. The remaining quadratic polynomial can be factored as:
x^2 + 2x - 15 = (x - 3)(x + 5)
Therefore, the remaining factors of the polynomial x^3+4x^2-11x-30=0 are x+2, x-3, and x+5.
The correct answer is (b) x-3, x+5.
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Find an equation of the line perpendicular to 3y=x+3 that passes through the point (5,8). Write the answer in slope-intercept form, y=mx+b, with all fractions written in the lowest terms.
Let the equation of the line perpendicular to line 3x+2y=16 is:-
2x - 3y = C. ………………(1)
Line (1) passes through the point (9,-2), therefore
2×9 - 3×(-2)= C
or, C = 24.
Thus, the required equation is:-
2x - 3y = 24.
or, 3y = 2y - 24.
or, y = (2/3).x + (-8). Answer.
3. A colony of bacteria triples in population every year. If there were 25 bacteria to
start. How many total bacteria, y, will there be after x years? Write an equation
to model the situation y = bx
a.) y = 3*25*
b.) y = 25 + 3x
c.) y = 3 + 25*
d.) y = 25 * 3*
rechna notices her car driving at 40km/hr and knows that at that speed she will reach home in 2 hours if she wants to reach her home only in an half hour by what percentage does she need to increase her speed choose the correct answer 50%,100%,200%,400%
To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed. Therefore, the correct answer is 200%.
What is speed?Speed is a measure of how quickly an object or person moves from one point to another. It is usually expressed in terms of distance traveled over time, for example, miles per hour or kilometers per hour.
To calculate this, we need to find the time taken for her to reach her home if her speed is doubled.
If her initial speed is 40 km/hr, then by doubling her speed, she will be travelling at a speed of 80 km/hr.
By travelling at this speed, she can reach her home in half an hour i.e. 30 minutes.
Therefore, the time taken to reach her destination by doubling her speed is 30 minutes.
The time taken to reach her destination while travelling at her initial speed is 2 hours.
To calculate the percentage increase in speed, we have to find the ratio of the time taken to reach her destination when the speed is doubled to the time taken to reach her destination when the speed is not doubled.
Therefore, the percentage increase in speed
= (30/120) x 100
= 25%.
Since she needs to double her speed to reach her home in half an hour, the percentage increase in speed required is 100%.
To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed.
Therefore, the correct answer is 200%.
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The sum of three consecutive numbers is 66. What is the smallest of these numbers?
Answer:
the 3 numbers are 20,22,and 24 and the smallest of which is 20
Step-by-step explanation:
Hope this helped
Solve for b
10, b, 150degrees, 12degrees
Hello!
We have all angles of the triangle:
We will use the law of cosines. This relation is valid for all sides of any t
We have:
angle A = 12°
côté a = 10
angle B = 150°
This is therefore the first case of application of the sine law.
So:
\(\sf \dfrac{b}{sin~B} = \dfrac{a}{sin~A}\)
\(\sf b =\dfrac{sin~B~*~a}{sin~A} = \dfrac{sin~150~*~10cm}{sin~12} = \dfrac{arcsin~0.5~*~10cm}{arcsin~0.2079116908} = \dfrac{30~*~10cm}{12} = \dfrac{300cm}{12} = \boxed{\sf25cm}\)
b = 25cma pharagraph on water
Answer:
Water is the only molecule because of which life is possible on Earth. In outer space, the conditions are so hostile that Water cannot be found in its natural form- liquid. This liquid Water has been giving us sustenance throughout billions of years.
Step-by-step explanation:
mark me brainleit plss
*BRAINLIEST* and 100 points (EASY Question: Warm Up)
Find a positive solution to each equation: x2 = 36
A.x = 4
B.x = 6
C.x = 9
D.x = 12
E.No positive solution
Show Step-By-Step Explanation for *BRAINLIEST*
Answer:
B. x = 6
Explanation:
\(\rightarrow \sf x^2 = 36\)
\(\rightarrow \sf x= \pm \sqrt{36}\)
\(\rightarrow \sf x= \pm 6\)
\(\rightarrow \sf x= +6, \ -6\)
As asked for positive, (+)
\(\rightarrow \sf x = 6\)
\(\qquad\qquad\huge\underline{{\sf Answer}}\)
Let's solve ~
\(\qquad \sf \dashrightarrow \: {x}^{2} = 36\)
\(\qquad \sf \dashrightarrow \:x = \sqrt{36} \)
\(\qquad \sf \dashrightarrow \:x = \pm6\)
but since we gave been asked to find positive solution, it's 6
So, correct choice is B. x = 6
HELP ME PLZ IM BEGGING
Answer:
97
Step-by-step explanation:
13^2 - 2^5 - 3^3 - √169
Answer:
136
Step-by-step explanation:
i think this might be wrong but im hopeing its right
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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(
9
×
10
2
)
+
(
7
×
10
3
)
Give your answer in standard form.
The result in standard form is \(7.9 * 10^3\)
What is the result of (9 × 10²) + (7 × 10³) in standard form?A standard form refers to the form of writing a given mathematical concept like an equation, number or an expression in a form that follows certain rules.
Expressing the given equations, we have:
(9 × 10²) + (7 × 10³)
= (9 × 100) + (7 × 1000)
= 900 + 7000
= 7,900
Expressing in standard form, we have: \(7.9 * 10^3\)
Full question:
Simplify and express (9 × 10²) + (7 × 10³) in standard form.
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He measured the pool’s dimensions to be 15 feet long by 35 feet wide. The actual dimensions of the pool are 14.5 feet by 34.75 feet. Find Jack’s percent error to the nearest percent.
Answer:
Percent error = -4.02 (Approx.)
Step-by-step explanation:
Given:
Estimated pool dimension = 15 ft long and 35 ft wide
Actual pool dimension = 14.5 ft long and 34.75 ft wide
Find:
Percent error
Computation:
Area of Estimated pool = 15 x 35
Area of Estimated pool = 525 ft²
Area of Actual pool = 14.5 x 34.75
Area of Actual pool = 508.875 ft²
Percent error = [(Actual - Estimated) / Estimated]100
Percent error = [(508.875 - 525) / 525]100
Percent error = [(-21.125) / 525]100
Percent error = -4.02 (Approx.)
solve the following system algebraically using the substitution method.type the solution as an ordered pair
solve
\(\begin{gathered} \begin{bmatrix}6x+7y=20 \\ y=2x\end{bmatrix} \\ substituting\text{ y } \\ 6x+7(2x)=20 \\ 6x+14x=20 \\ 20x=20 \\ \frac{20x}{20}=\frac{20}{20} \\ x=1 \end{gathered}\)and for y
\(y=2(1)=2\)answer: (1,2)
Review the graph.
On a coordinate plane, a circle has center (4, 0) and radius 4. Another circle has center (2, negative 3) and radius 6. The area inside of the first circle and outside of the second circle between the 2 circles is shaded.
Which system of inequalities is shown in the graph?
36 > (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 > (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
36 < (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 < (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
Answer:
36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²
Step-by-step explanation:
This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.
PLEASE HELP I NEED HELP WITH THIS PLEASE PLEASNEOLEASBEJEJXNFBDJFB
9514 1404 393
Answer:
(5x -8) +96 +(5x +2) +4x +4x = 540
x = 25
Step-by-step explanation:
It usually works to follow directions. The sum of angles is ...
(5x -8) +96 +(5x +2) +4x +4x = 540 . . . . An equation
18x +90 = 540 . . . . . . . . . collect terms
x +5 = 30 . . . . . . . . . divide by 18
x = 25 . . . . . . . . subtract 5
Which of the following is the solution of the system of equations shown?
(2,-2)
(2,2)
(-2,2)
(-2,-2)
Answer:
(-2,-2)
Step-by-step explanation:
The graph doesn't have unit marks, but you can see that the x- and y-coordinates of the intersection are equal, and they are both negative.
(-2,-2)
Complete the following equation using <, >, or =
7 _ 24/4
A. =
B. >
C. <
Answer:
7 > 24/4
Step-by-step explanation:
7 _ 24/4
Simplify 24/4
24/4 = 6
7 is greater than 6
7 > 24/4
7 is greater than the fraction 24/4 so we use the ">" symbol between them. Hence, the complete equation is 7 > 24/4.
Comparison of two numbers involves determining the relationship between them. Here are a few possible outcomes when comparing two numbers:
1: If the first number is greater than the second number, we can say that the first number is "greater than" or "larger than" the second number.
2: If the first number is less than the second number, we can say that the first number is "smaller than" or "less than" the second number.
3: If the first number is equal to the second number, we can say that the numbers are "equal" to each other.
The given numbers are:
7 and 24/4
To compare these numbers,
Convert the fraction 24/4 into the simplest form
Therefore,
\(\frac{24}{4} = 6\)
Now since 7 is greater than 6 so we use ">" between them.
Hence,
The complete equation will be 7 > 24/4.
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Sketch and label a net of the right triangular prism. Each square on the grid represents
1 square centimeter. Calculate the surface area of the prism by using its net.
The total surface area of the prism is determined as 216 cm².
What is the surface area of the prism?The surface area of the prism is calculated by applying the following formula.
The area of the two triangular faces is calculated as follows;
Area of the two triangles = 2 (¹/₂ x base x height )
Area of the two triangles = 2 (¹/₂ x 6 cm x 4 cm )
Area of the two triangles = 24 cm²
The area of rectangular faces is calculated as follows;
A = ( 5 cm x 12 cm ) + (5 cm x 12 cm ) + ( 6 cm x 12 cm )
A = 192 cm²
The total surface area of the prism is calculated as follows;
Area = 24 cm² + 192 cm²
Area = 216 cm²
The sketch of the triangular prism is in the image attached.
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Lines A and CD (if shown) are straight lines. Find x. Give reasons to justify your solutions.
Please Write in a form like the table below.
Answer/Step-by-step explanation:
STATEMENT ====> REASONS
1. m<AOB = 180° ==> 1. Definition of straight angle
2. m<AOF + m<FOG + m<GOB = m<AOB ==> 2. Angle Addition Postulate
3. (5x - 15)° + 90° + 2x = 180° ==> 3. Substitution
4. Solve as algebra to get x
5x - 15 + 90 + 2x = 180
Collect like terms
5x + 2x - 15 + 90 = 180
7x + 75 = 180
Subtract 75 from both sides
7x + 75 - 75= 180 - 75
7x = 105
Divide both sides by 7
7x/7 = 105/7
x = 15 ===> 4. Algebra