Answer:
Step-by-step explanation:
Add the three digits together:
12+7+16=35
7/35, or 1/5.
Toby wants to find the volume of a solid toy soldier.
He fills a rectangular container 8 cm long, 6 cm wide,
and 10 cm high with water to a depth of 4 cm. Toby
totally submerges the toy soldier in the water. The
height of the water with the submerged toy soldier is
6.6 cm. Which of the following is closest to the
volume, in cubic centimeters, of the toy soldier?
Answer:
Toby wants to find the volume of a solid toy soldier.He fills a rectangular container 8 cm long, 6 cm wide,and 10 cm high with water to a depth of 4 cm. Toby totally submerges the toy soldier in the water. The height of the water with the submerged toy soldier is 6.6 cm. Which of the following is closest to the volume, in cubic centimeters, of the toy soldier?
A. 125 B. 156 C. 192 D. 208 E.317
The volume of the toy is 125 cubic cm ,option A is the closest answer.
Step-by-step explanation:
Given:
A rectangular container .
Length of the container =8 cm
Width of the container = 6 cm
Height of the container when water is filled = [tex](h_1)[/tex] = 4 cm
Height of the container when the toy is submerged = [tex](h_2)[/tex] =6.6 cm
Volume of the toy = Volume of the container with the toy - Volume of the container (with water)
Volume of the toy = [tex](l\times b\times h_2) - (l\times b\times h_1)[/tex]
= [tex](l\times b\times)(h_2-h1)[/tex]
= [tex](6\times 8)(6.6-4)[/tex]
= [tex]48\times 2.6[/tex]
= [tex]124.8[/tex] cubic centimeters.
So,the closest value to the volume of the toy is 125 cubic centimeters.
The closest volume, in cubic centimeters, of the toy soldier is 124.8 cm³.
To find the volume of the toy soldier submerged in water, we can use the following steps:
1. Calculate the initial volume of water in the container: 8 cm x 6 cm x 4 cm = 192 cubic cm.
2. Determine the final volume of water with the toy soldier submerged: 8 cm x 6 cm x 6.6 cm = 316.8 cubic cm.
3. Subtract the initial volume of water from the final volume with the toy soldier submerged: 316.8 cubic cm - 192 cubic cm = 124.8 cubic cm.
Therefore, the closest volume, in cubic centimeters, of the toy soldier is 124.8 cm³.
Explain what you would do first to simplify the
expression below. Justify why, and then state the
result of performing this step.
12r²4
41
DONE
First, distinguish the mathematical elements in the expression 12r²4. Multiply the numbers 12 and 4 to give 48, then substitute this value back in to obtain the simplified expression, 48r². The property of multiplication allows this reordering and regrouping without affecting the result.
Explanation:To simplify the given expression, 12r²4, the first step involves distinguishing the mathematical elements present. In this case, we have multiplication of numbers and a variable. Technically, the expression is equivalent to 12*r^2*4, since there is multiplication between each element.
We proceed with multiplication, starting with the numerical value. In this case, multiply 12 and 4 to get 48. Substitute this resulting value into the expression, yielding 48r². The justification for this operation is the property of multiplication, which is associative and commutative. It allows us to change the order of the numbers being multiplied or group them differently without changing the result.
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2x+3y=12
3x−2y=−8
solve
Answer:
(6,4)
Step-by-step explanation:
Multiply 3 by the two equations and add it up but the x's.
Add the y variables and subtract the others
Divide 3y and 12 which gives you 4
Plug in 4y into any equation
Add 24 and leave the 6x which is your answer
A cleaning solution contains 60% water. How much water is in a 32 oz container of cleaning solution?
Answer:
19.2 oz water
Step-by-step explanation:
32 oz times 60%
32
x .6
19.2
-6+7x=y, what is the y-intercept?
What’s the difference from a number chart and a hundred chart
The number chart is when the number line helps with the concept of sequencing, and base-10 blocks reinforce place value
In the hundred chart , it consists of the numbers to 100 in sequential order, with ten numbers per row across ten rows.
What is a Number chart and Hundred chart?
Hundred Chart : A hundreds chart is highly useful for children who are learning to count to 100 and strengthening their numerical fluency. With a hundreds chart, numbers read from left to right in rows of 10, starting from the top left corner with the number 1, all the way down to 100 in the bottom right corner
Number Chart : A table listing numbers in numerical order is known as a numbers chart. The numbers in this arrangement will be 1 through 10 in the first line, 11 through 20 in the second line, 21 through 30 in the third line, and so on. There are various types of specific number charts, such as charts for the hundreds that include the digits 1 through 100.
Given data ,
In the hundred chart , it consists of the numbers to 100 in sequential order, with ten numbers per row across ten rows. The layout allows children to count left to right by ones, and down by tens.
And ,
The number chart is when the number line helps with the concept of sequencing, and base-10 blocks reinforce place value
Types of Number Chart
Even Numbers Chart. An even numbers chart represents all the numbers that are divisible by 2.
Odd Numbers Chart. An odd numbers chart represents all the numbers that are NOT divisible by 2
Prime Numbers Chart
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Find P (Sophomore | Boy)
Answer:
[tex]$ \textbf{P} \textbf{(Sophomore}\hspace{1mm} | \hspace{1mm} \textbf{Boy)} \hspace{1mm}\textbf{=} \hspace{1mm} \frac{\textbf{5}}{\textbf{12}} $ $[/tex]
Step-by-step explanation:
We are asked to find the probability of picking a Sophomore who is a boy.
There are 5 Sophomores who are boys out of total boys.
[tex]$ \textbf{P(A} | \textbf{B)} \hspace{1mm} \textbf{=} \hspace{1mm} \frac{\textbf{P(A and B)}}{\textbf{P(B)}} $[/tex]
[tex]$ \implies P(Sophomore | Boy) = \frac{P(Sophomore \& Boy)}{P(Boys)} $[/tex]
[tex]$ = \frac{5}{12} $[/tex]
Hence, the answer.
Answer:
The answer is 5 over 12
Step-by-step explanation:
5/12 Fill in 5 then 12
A scale measures weight to the nearest 0.1 pounds. Which is the most
appropriate way to report weight using this scale?
O A. 152.2 pounds
O B. 152 pounds
O C. 200 pounds
O D. 152.127 pounds
Answer:A
Step-by-step explanation:
evaluate 0.3y+ y/z when y= 10 and z=5
Answer: answer is 5
Step-by-step explanation:see attachment
Luis is asked to construct a triangle with a 35° angle and a 45 angle How many different triangles could he draw with
these angle measures?
There is only one unique triangle that can be drawn with a 35° angle and a 45° angle, as the third angle is determined to be 100° to make the sum 180°.
To determine how many different triangles can be constructed with a 35° angle and a 45° angle, we can use the fact that the sum of angles in a triangle is always 180°. Adding the given angles, we get 35° + 45° = 80°. Subtracting this from 180° gives us the third angle, which is 180° - 80° = 100°. Since the sum of the angles is 180° and all angles are determined, there is only one unique triangle that can be drawn with these angle measures
Complete the sentence to finish the explanation of how you could show that points A, B, and C on the coordinate plane are collinear.
Answer:
First blank: the equation of the line that passes through A and BSecond blank: is a solution of the equation
Explanation:
Three or more points are collinear if and only if they are on the same line, and, thus they are solutions, of the same equation of the line.
When you know two points through their coordinates you can always find the equation of the line:
Point A (x₁, y₁)Point B (x₂, y₂)You can find the slope, m, of that line by using the slope formula:
m = rise / run = Δy / Δx = (y₂ - y₁) / (x₂ - x₁)And then, you apply the point-slope equation:
y - y₁ = m (x₂ - x₁)Since you know m, x₁, and y₁, your equation is determined.
Once you have your equation, substitute the x and y coordinates with the coordinates of the point C. If, and only if, the equation is satisfied, the point C is on the same line and the three points are collinear.
A car approaches a stop sign going 5 m/s before it comes to a stop. If it does this in 4 seconds, what was
its acceleration?
Answer:
Acceleration = -1.25 m/s²
Step-by-step explanation:
Given data:
initial velocity = 5 m/s
Final velocity = 0 m/s since the car stopped
change in time = 4 seconds
Acceleration = change in velocity/change in time
Acceleration = (Final velocity - Initial velocity)/time
Acceleration = (0-5)/4
Acceleration = -5/4
Acceleration = -1.25 m/s²
The acceleration in negative since the car was reducing speed to stop, it can also called deceleration.
It travels 10 m and then stops.
KinematicsIt refers to the study of motion.
Given
Initial speed (u) = 5m/s
Time (t) = 4 sec
How to find distance?We know the equation of motion
[tex]\rm v = u + at\\v^{2}- u^{2} = 2as[/tex]
As final velocity (v) = 0
Then
[tex]v = u +at \\\\0 = 5 + 4a\\\\a= \dfrac{5}{4}[/tex]
then
[tex]\begin{aligned} \rm v^{2}- u^{2} &= 2as \\0^{2} - 5^{2} &= 2*\dfrac{5}{4} *s\\25 &= \dfrac{5}{2}*s \\s &= 10 m\\\end{aligned}[/tex]
Thus, it travels 10 m and then stops.
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If you had 26/12 dollars how much money would that be in dollars and cents
Answer:
$2.17
Step-by-step explanation:
12 goes into 26 2 times.
with 2 left over
2/12 = 1/6
1/6 of a dollar is
divide 100/6 = 16.67
Write the numbers ten to fifteen in descending order and then circle the prime numbers
Answer:
10
11
12
13
14
15
prime numbers:11,13,15
Answer:
Step-by-step explanation:
15,14,13,12,11,10
100 POINTS!!! will give BRAINLIEST to the person who does all 3 correctly! With explanation!
Answer:
Option A, %29.2
Step-by-step explanation:
Step 1: Find the total fixed expenses
150 + 30
180
Step 2: Find the percentage
180 / 617
0.2917... * 100
%29.17
%29.2
Answer: Option A, %29.2
Answer:
29.2%
Step-by-step explanation:
The fixed expenses are rent and the emergency fund
150+30 =180
The total income is 617
The percent is fixed expenses/income
180/617
.291734198
Multiply by 100% to change from decimal from to percent
29.1734198%
Rounding to the nearest tenth
29.2%
Mercedes had 6 2/3 cups of flour. She used 3 1/4 cups 0f flour to bake a cake. How much flour does merceded have left?
Answer:
3 5/12 cups
Step-by-step explanation:
6 2/3 - 3 l/4= 80/3 - 39/4=41/12=3 5/12
Evaluate the expression below when x=9.5 and y=3. 12x - 3y exponent 2
21 divided by(3+4) x 9 - 2 Squared
Answer:625
Step-by-step explanation:21/(3+4)x9-2=25 and 25^2 (squared) is 625
a fireman leaned a 36 foot ladder against a building. if he placed the ladder 7 feet from the base of the building what angle is formed between the ladder and the ground
Answer:
78.79°
Step-by-step explanation:
A fireman placed a ladder of length 36 feet against a building.
Now, if he placed the ladder 7 feet from the base of the building, then the angle formed between the ladder and the ground will be [tex]\theta[/tex] (Say).
Now, the ladder, the base ground and the building forms a right triangle and the ladder is the hypotenuse of the triangle and [tex]\theta[/tex] is the base angle.
So, [tex]\cos\theta = \frac{\textrm {Base length}}{\textrm {Ladder length}} = \frac{7}{36}[/tex]
⇒ [tex]\theta = \cos^{-1}(\frac{7}{36}) = 78.79^{\circ}[/tex] (Answer)
The icecream parlor has 30 flavors, but for the last week they have only had 25 flavors. Find the percent of change. Tell if it is an increase or decrease.
Answer:
The percent of change is 20%.
And it is increased by last month.
Step-by-step explanation:
Given:
The ice cream parlor has 30 flavors, but for the last week they have only had 25 flavors.
Now, to find the percent of change.
Flavors ice cream parlor has = 30.
Flavors last week they had = 25.
So, the flavors increased from last week by:
[tex]30-25=5\ flavors.[/tex]
Now, to get the percent of change:
[tex]\frac{5}{25} \times 100[/tex]
[tex]=\frac{500}{25}[/tex]
[tex]=20\%.[/tex]
Thus, the percent of change is 20%.
The flavor is increased by last month.
Therefore, the percent of change is 20%.
And it is increased by last month.
Final answer:
The percent of change is a decrease of 16.67%, calculated by subtracting the new amount of flavors from the original, dividing by the original amount, and multiplying by 100.
Explanation:
To find the percent of change in the number of flavors at the ice cream parlor, we will subtract the original amount of flavors from the new amount, divide that by the original amount, and then multiply by 100. The original amount of flavors was 30, and the new amount is 25. Here is the calculation:
Subtract the new amount from the original amount: 30 - 25 = 5
Divide the change by the original amount: 5 ÷ 30 = 0.1667
Multiply by 100 to get the percent: 0.1667 x 100 = 16.67%
The percent of change is a decrease of 16.67% since the number of flavors went down from 30 to 25.
write this as a decimal 34%
Answer:
0.34
Step-by-step explanation:
34%= 34/100
34/100= 0.34
Answer: .34
Step-by-step explanation: 34% is equal to 34/100, If you turn that into a decimal its 0.34.
Solve the following system. Q
-8x - 8y = 0 and -8x + 2y = -20
Answer:
x=2 and y=−2
Step-by-step explanation:
I will solve your system by substitution.
−8x−8y=0;−8x+2y=−20
Step: Solve−8x−8y=0for x:
−8x−8y+8y=0+8y(Add 8y to both sides)
−8x=8y
−8x
−8
=
8y
−8
(Divide both sides by -8)
x=−y
Step: Substitute−yforxin−8x+2y=−20:
−8x+2y=−20
−8(−y)+2y=−20
10y=−20(Simplify both sides of the equation)
10y
10
=
−20
10
(Divide both sides by 10)
y=−2
Step: Substitute−2foryinx=−y:
x=−y
x=−(−2)
x=2(Simplify both sides of the equation)
Which inequality matches the graph?
A) x > 2
B) x < 2
C) x = 2
D) x ≥ 2
Answer:
D
Step-by-step explanation:
Round 234,983.3 to the nearest hundred
Thanks ❤️
how do you write12 minutes to noon digital form
Answer:
11:48 AM
Step-by-step explanation:
Answer:
11:48 am
Step-by-step explanation:
not sure if I did this right but 60-12=48. before noon would be am so it would be 11:48 am
sorry if its wrong qwq
reduce the fraction 34/48 to its lowest term
Answer: 17/24
Step-by-step explanation: To write the fraction 34/48 in lowest terms, we divide the numerator and the denominator by the greatest common factor of 34 and 48.
Since the factors of 34 are 1, 2, 17, 34 and the factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48, the greatest common factor of 34 and 48 is 2.
So we divide the numerator and the denominator of 34/48 by 2.
34 divided by 2 is 17 and 48 divided by 2 is 24.
So 34/48 written in lowest terms is 17/24.
Which is the equation of the given line in slope-intercept form? y= -1/4 x +1 y= -4x+1 y=4x-1 y=4x=+1
Answer:
[tex]y=4x+1[/tex]
Step-by-step explanation:
The line is shown in the attachment.
The slope of this line is given by: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The line passes through (0,1) and (1,5)
Plug in the points to get:
[tex]m=\frac{5-1}{1-0}=4[/tex]
The equation of this line is given by [tex]y=mx +b[/tex], where b=1 is the y-intercept.
From the graph the y-intercept is 1, because the line intersects the y-axis at (0,1).
Therefore the equation is [tex]y=4x+1[/tex]
Sofia places 26 tiles representing each letter of the alphabet into a bag. Five of the tiles represent the vowels A, E, I, O, and U. Sofia will randomly select 1 tile from the bag and without replacement select another tile from the bag. Sofia will draw two tiles from the bag 260 times. What is a reasonable prediction for the number of times Sofia will select a consonant tile and a vowel tile?
Answer:
42 times.
Step-by-step explanation:
The number of total alphabet = 26 tiles
The number of vowels = 5
The number of consonant = 26 - 5 = 21
Sofia will randomly select 1 tile from the bag and without replacement select another tile from the bag.
The probability to select consonant at first time = 21/26
Total tiles after the first selection = 26 - 1 = 25
The probability to select vowels at second time = 5/25
The probability to select consonant and vowels = [tex]\frac{21}{26} *\frac{5}{25} =\frac{21}{130}[/tex]
Sofia will draw two tiles from the bag 260 times.
The prediction for the number of times Sofia will select a consonant tile and a vowel tile = [tex]\frac{21}{130} *260=42 \ times[/tex]
Bill buys a stock that decreases by 20% on the first day, and then on the second day the stock increases by 30% of its value at the end of the first day. What was the overall percent increase in Bill's stock over the two days?
Please answer someone!
The over all percent increase in Bill's stock over the two days is 4%
Step-by-step explanation:
The given is:
Bill buys a stock that decreases by 20% on the first dayOn the second day the stock increases by 30% of its value at the end of the first dayWe need to find what was the overall percent increase in Bill's stock over the two days
Assume that Bill buys the stock by $x
∵ Bill buys the stock by $x
∵ The stock decreases by 20% on the first day
- Find the 20% of x
∵ 20% × x = [tex]\frac{20}{100}[/tex] × x = 0.2 x
∴ The cost at the end of the 1st day = x - 0.2 x = 0.8 x
∵ The stock increases by 30% of its value at the end of the 1st day
- Find the 30% of 0.8 x
∵ 30% × 0.8 x = [tex]\frac{30}{100}[/tex] × 0.8 x = 0.3 × 0.8 x = 0.24 x
∴ The cost at the end of the 2nd day = 0.8 x + 0.24 x = 1.04 x
To find the percentage of increased find the increasing amount and divide it by the original cost, then multiply the quotient by 100%
∵ The increasing amount = 1.04 x - x = 0.04 x
∵ The percentage of increase = [tex]\frac{0.04x}{x}[/tex] × 100%
∴ The percentage of increase = 0.04 × 100% = 4%
The over all percent increase in Bill's stock over the two days is 4%
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Which graph represents the solution to the given system?
Y=-x+5
y= 1/4 x+10
Answer:
See attachment
Step-by-step explanation:
The given system is :
[tex]y = - x + 5[/tex]
[tex]y = \frac{1}{4}x + 10[/tex]
Let us equate both equations and solve for x.
[tex] - x + 5 = \frac{1}{4}x + 10[/tex]
[tex] - 4x + 20 = x + 40[/tex]
[tex]20 - 40 =x + 4x[/tex]
[tex] - 20 = 5x[/tex]
[tex]x = - 4[/tex]
[tex]y = - - 4 + 5 = 9[/tex]
The the two lines of this system will meet at (-4,9)
The graph is shown in the attachment.