[tex]===========================================[/tex]
Let's create an expression that always results in 6 more than a multiple of 5.
First, let the unknown number be x.
Then, we should multiply it times 5 and add 6 (6 more means we add 6)
So the expression is
5x+6
Will this work? We can easily check by plugging in some numbers:
5(2)+6
10+6
10 is a multiple of 5
16 ✓
Try another number:
5(3)+6
15+6
21 ✓
Try a negative number:
5(-3)+6
-15+6
-9 ✓
Try zero:
5(0)+6
0+6
6 ✓
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Notes:Hope everything is clear.Let me know if you have any questions!Enjoy your day!Answered by[tex]^\square\boxed{An~Emotional~Helper}^\square^\bigstar[/tex]
An algebraic expression results in 6 more than a multiple of 5 if the variable is an integer is 5x+6.
The given statement is "6 more than a multiple of 5 if the variable is an integer".
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Let the unknown number be x.
A multiple of 5 is 5x
6 more than a multiple of 5 if the variable is an integer
= 5x+6
Hence, an algebraic expression results in 6 more than a multiple of 5 if the variable is an integer is 5x+6.
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In ΔSTU, the measure of ∠U=90°, SU = 36, UT = 77, and TS = 85. What ratio represents the secant of ∠T?
Answer:
I think Angle T is 36 degree
I think it will help you
i Want to ask about linear equation
Answer:
what do you want to know about linear equation?
Need step by step explanation please.
1. Volume of 1 tennis ball = volume of sphere = 33.51 in.³
2. Volume of the cylinder = 150.8 in.³
3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball) = 50.27 in.³
What is the Volume of a Cylinder and Volume of a Sphere?Volume of Cylinder = πr²hVolume of Sphere = 4/3πr³Diameter of the tennis ball = 4 in. (given)
1. Volume of 1 tennis ball = volume of sphere = 4/3πr³
r = 1/2(4 in.) = 2 in.
Volume of 1 tennis ball = 4/3π(2)³ = 33.51 in.³
2. Volume of the cylinder = πr²h
Radius of the cylinder (r) = 1/2(4 in.) = 2 in
Height of the cylinder (h) = 3(4 in.) = 12 in
Volume of the cylinder = πr²h = π(2²)(12) = 150.8 in.³
3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball)
= 150.8 - 3(33.51) = 50.27 in.³
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A tower that is 166 feet tall casts a shadow 167 feet long. Find the angle of elevation of the sun to the
nearest degree.
Answer:
The angle is approximately [tex]45^\circ[/tex].
Step-by-step explanation:
We should start with a diagram (like the one attached). Notice the length of the tower and the length of the shadow are the legs of a right triangle, and the angle of elevation is an acute angle of that triangle.
Since we are given the opposite and adjacent sides to the angle, we will use the tangent function:
[tex]\tan{\theta}=\frac{\text{opposite side}}{\text{adjacent side}}[/tex]
In this case, the opposite side is the height of the tower, 166 ft. The adjacent side is the length of the shadow, 167 ft. So, we have:
[tex]\tan{\theta}=\frac{166}{167}[/tex]
To get the angle, we need to use inverse tangent:
[tex]\theta=\tan^{-1}(\frac{166}{167})\\\theta \approx 45[/tex]
The angle is approximated [tex]45^\circ[/tex] when rounded to the nearest degree.
Find the volume of the prism.
Answer:
210 cm^3
Step-by-step explanation:
To find the volume of a regular we use the following formula:
l*w*h (l: length, w: width, h: height)
6*5*7 = 210 the volume is expressed with cm^3 so the answer is 210 cm^3
Is πxy=4 a linear equation?
Answer:
Yes
Step-by-step explanation:
It is a first-degree equation. Look at the exponents of each variable (x, y), they are not written because they are 1
Hope this helps
You mix 3/5 quart of blue paint for every 1/3 quart of red paint to make 5 3/5 quarts of purple paint. How much blue and red paint do you use?
Pls answer!!!!
Answer:
Hey Here Is Ur Answer
Step-by-step explanation:
3/5 + 1/3 = 14/15
5 3/5 ÷ 14/15 = 6
so
blue:red = 3/5 : 1/3 = 18/5 : 2
HOPE IT HELP U
3/5 + 1/3 = 14/15
5 3/5 ÷ 14/15 = 6
so
blue:red = 3/5 : 1/3 = 18/5 : 2
12 points
Will mark brainliest to who ever answers first
Answer:
80 pounds
Step-by-step explanation:
A survey of high school juniors found the 75% of the students plan on attending college. If you pick 3 students at random, what is the probability that at least two plan on attending college? Round to the nearest percentage.
Assuming you pick 3 students at random, The probability that at least two plan on attending college is 84%.
ProbabilityUsing Binomial Distribution
Given:
n = 3
p = 0.75
q = 1-0.95 = 0.25
Hence:
P[≥2] = P[2] + P[3]=(3c2 ×0.75²×0.25) + 0.75³
P[≥2] = P[2] + P[3]=0.421875+0.421875
P[≥2] = P[2] + P[3]=0.84375×100
P[≥2] = P[2] + P[3]=84% (Approximately)
Inconclusion the probability that at least two plan on attending college is 84%.
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What is the value of w?
w
36°
Answer: you literally said it yourself. its 36°
Step-by-step explanation:
what type of sequence is 99,33,3,1
Answer:
36 ,36 30,2
Step-by-step explanation:
hope it's okay to you
Are the base angles of an isosceles triangle always congruent?
Answer: Yes
Step-by-step explanation:
If you draw the altitude of an isosceles triangle from the vertex angle, then the two triangles formed are congruent, meaning the base angles are congruent by CPCTC.
Yes, the base angles of an isosceles triangle are congruent because in n isosceles triangle two of its sides are always congruent, and also angles opposite to congruent sides are congruent.
What is the isosceles triangle?An isosceles triangle is a triangle that has at least two sides of equal length.
When an altitude is drawn to the base of the isosceles triangle, it bisects the vertex angle. As it bisects the base, the two congruent triangles are created.
An isosceles triangle with only two congruent sides, the congruent sides are called legs. The third side is called the base. The angle opposite the base is called the vertex angle, and the angles opposite the legs are called base angles.Hence, Yes, the base angles of an isosceles triangle are congruent because in n isosceles triangle two of its sides are always congruent, and also angles opposite to congruent sides are congruent.
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United States farms produced 2,460,000,000 bushels of soybeans
in 1994. How many quarts is this? (A bushel is 32 quarts.)
Pls u need this now
Answer: 78,720,000,000 quarts.
Step-by-step explanation:
32 x 2460000000 = 78,720,000,000
Can someone please help me
Answer:
Hence corre ctophon is (A)
A bag contains 40 red and green marbles. The number of green marbles, g, is 9 times the number of red marbles, r.
How many red marbles are in the bag?
Answer:
4 red marbles
Step-by-step explanation:
green marbles = 9r
red marbles = r
9r + r = 40
10r = 40
r = 4 = red marbles
How long is the arc intersected by a central angle of startfraction pi over 3 endfraction radians in a circle with a radius of 6 ft? round your answer to the nearest tenth. use 3.14 for pi. 1.0 ft 5.7 ft 6.3 ft 7.0 ft
The length of the arc which subtends a [tex]\pi/3[/tex] radians angle on a circle with 6 ft radius is given by: Option C: 6.3 feet approximately.
How to find the relation between angle subtended by the arc, the radius and the arc length?[tex]2\pi^c = 360^\circ = \text{Full circumference}[/tex]
The superscript 'c' shows angle measured is in radians.
If radius of the circle is of r units, then:
[tex]1^c \: \rm covers \: \dfrac{circumference}{2\pi} = \dfrac{2\pi r}{2\pi} = r\\\\or\\\\\theta^c \: covers \:\:\: r \times \theta \: \rm \text{units of arc}[/tex]
For this case, we have:
Radius of the circle = r = 6 ftAngle subtended by the considered arc of the circle on its center = [tex]\theta^c = \dfrac{\pi}{3}^c[/tex]Thus, if we take:
Length of the arc = L feet, then:
[tex]L =r \times \theta = 6 \times \dfrac{\pi}{3} = 2\pi \: \rm ft \approx 6.28 \approx 6.3 \: ft[/tex]
Thus, the length of the arc which subtends a [tex]\pi/3[/tex] radians angle on a circle with 6 ft radius is given by: Option C: 6.3 feet approximately.
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Answer:
c
Step-by-step explanation:
i did it and got it right
You buy 10 pounds of bird seed at store A for $11.50.Your friend buys 15 pounds of bird seed at Store B for $19.50.How much less would u sped by buying 20 pounds of bird seed at the store with the better deal?
Answer:
$3
Step-by-step explanation:
You buy 10 pounds of bird seed at store A for $11.50 which means every pound is $1.15.
15 pounds of bird seeds store B for $19.50 is $1.30 per pound.
At store A = 20 * $1.15 = $23
At store B = 20 * $1.30 = $26
So, 26 - 23 = 3
Answer:
You would spend $3 less by buying 20 pounds of bird seeds at the store with the better deal.
Step-by-step explanation:
Given:
You can buy 10 pounds of birdseed at Store A for $11.50
10 pounds – $11.50
[tex]\mathrm{\dfrac{ \$11.50 }{ 10\:pounds }}=\mathrm{\dfrac{ \$1.50 }{ 1\:pound }}[/tex]
1 pound – $1.15
To find the value for 20 pounds, we do:
20 pounds = 20 × 1.15 = $23
20 pounds = $23
Your friend buys 15 pounds of birdseed at Store B for $19.50
15 pounds – $19.50
[tex]\mathrm{\dfrac{ \$19.50 }{ 15\:pounds }}=\mathrm{\dfrac{ \$1.3 }{ 1\:pound }}[/tex]
1 pound – $1.3
To find the value for 20 pounds, we do:
20 pounds = 20 × 1.3 = $26
20 pounds = $26
Now we compare each stores value for 20 pounds of bird seeds:
$23 < $26
The store with the better deal is: Store A
So, you would spend $3 less by buying 20 pounds of bird seeds at the store with the better deal.
how long will a 100 litre bath run if the water is running at a rate of 12 litres per minute
Is the length of the hypotenuse of a right triangle with legs that mea-
sure 5 cm and 6 cm a rational number or an irrational number? Justify
your answer. Answer in complete sentences and indude all relevant calculations
Which expression is equivalent to 9 ( w + 8)?
72 w
9 w + 72
9 w + 8
17 w
Answer:
A) 72w
Step-by-step explanation:
Which number is a rational?
Answer:
0/5 = 0
0/200 = 0
0/ (-25) = 0
Step-by-step explanation: I am sure this is it because these are rational numbers
When two lines intersect, are all the angles formed equal?
Answer: No
Step-by-step explanation:
If we don't know if the lines are parallel, we cannot conclude the angles are equal.
When two lines are parallel lines are intersected by a transversal, the corresponding angles formed are always equal in measure, and when the lines are not perpendicular the measure of the angle is not equal.
What are intersecting lines?The intersecting lines (two or more) always meet at a single point. The intersecting lines can cross each other at any angle.
When two lines intersect each other, the two opposite pairs of angles formed are called vertically opposite angles.
If two parallel lines are intersected by a transversal, the corresponding angles formed are always equal in measure.
If the corresponding angles formed at the two intersections are congruent, the two lines will then be considered parallel.
The pair of corresponding angles always lies on the same side of a transversal.
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What do I have to major in to become an astronomer and approximately how long would I have to stay in college?
I need help please. Find the volume of the composite solid.
Answer: 150 cubic feet
Step-by-step explanation:
Formula: area of base x height (length x width x height)
Volume of small rectangle: 5 x 2 x 3 = 30
Volume of large rectangle: 10 x 6 x 2 = 120
Add them together: 120 + 30 = 150
From the height of 30 meters above sea level of a cliff, a ship is sighted due west. The angle of depression is 20How far from the base of the cliff is the ship? Please help
Answer:
9470m above the sea level.
Step-by-step explanation:
Ethan ran 11 miles in 2 hours What is the constent of proporttional of miles to a hour
Answer:
5.5 miles
Step-by-step explanation:
If he ran 11 miles in 2 hours then divide both of them by 2, so 1 hour is equal to 11 / 2 which is 5.5 miles
Find the simple interest earned to the nearest cent for each principal, interest rate, and time 1,050, 4.6%, two years
Answer:
The interest earned is $96.60
Step-by-step explanation:
Since we are working the a simple interest problem, we will use the formula
[tex]I=Prt[/tex],
Where P represents the principal, r represents the rate as a decimal, and t represents the time in years. First, we need to change the 4.6% into a decimal by dividing by 100:
[tex]4.6\div 100 = 0.046[/tex]
From our given information and our decimal rate, we have:
[tex]P=1050\\r=0.046\\t=2[/tex]
Substituting these into our equation, we get:
[tex]I=1050(0.046)(2)\\I=96.6[/tex]
We write that as $96.60 in context of the problem.
Answer:
principle (p)=RS 1,050
Rate(R)=4.6
time(T)=2years
we know that
I=P×R×I/100
=1050×4.6×2/100
=9660/100
=96.6
therefore the earned simple interest is RS.96.6
there 8 books in a series. the number of pages in each book are: 173, 205, 195, 215, 219, 184, 211, and 400.
Which measure of center best describes the typical number of pages in the books in this series? a. mean b. median
What is the value of measure of center that best describes the typical number of pages in the books in this series?
Answer:225.25 or Mean
Step-by-step explanation: Put the sequence of numbers in order: 173,184,195,205,211,215,219,400
Cross of the end number each side until you have only 2 numbers:205,211
Add these numbers then divide them by 2: 205+211=416 416\2= 208
208 is the median
To find the mean is all of the numbers added together divided by the number of numbers: 173+205+195+215+219+184+211+400=1,802/8+225.25
Now compare the median:208 and the mean:225.25 to the sequence of numbers and see which one best describes the typical number of pages in the books. To do that you can subtract 173 from 400: 227
So the answer that's closest to 227 is 225.25.
I think anyway.
The mean and median of the given observation are 225.25 and 208 respectively and the value of the measure of the center would be 227 that best describes the typical number of pages in the books in this series.
What is arithmetic mean?Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean.
The formula for the mean of a given set of data is as follows:
Mean = Sum of Observations/Total number of observations
Given the set of observations as :
173, 205, 195, 215, 219, 184, 211, and 400
Arrange the data in ascending order.
173, 184, 195, 205, 211, 215, 219, 400
Here n = 8 which is an even number
For finding the median we have to calculate the average of 205 and 211
Thus, the median is 208
When all the numbers are added up and divided by the total number of numbers, the mean is obtained:
⇒ 173 + 205 + 195 + 215 + 219 + 184 + 211 + 400
⇒ 1,802
⇒ mean = 1,802/8
⇒ mean = 225.25
In order to determine which figure accurately represents the median value of 208 to the mean value of 225.25.
To achieve it, divide 400 by 173, which equals 227.
Therefore, 225.25 is the answer that is closest to 227.
Hence, the mean and median of the given observation are 225.25 and 208 respectively and the value of the measure of the center would be 227 that best describes the typical number of pages in the books in this series.
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(PLS help I’ll give brainliest to whoever can answer right nobody has been able to. )
A company makes piñatas for special events such as birthday parties. One of their piñatas is in the form of a cone-shaped hat. How much space do they have inside the piñata for candy if the piñata is 2 feet tall and 1.5 feet wide? Round to the nearest hundredth.
If square root 6 is the geometric mean between 4 and another number, then the number is?
Answer:
The answer is 1.5
pls give brainliest ily<3