what two numbers multiply to get 30 and add up to get 31
Answer:
1 and 30!
1 times 30 = 30
1 + 30 = 31
Step-by-step explanation:
;p
Answer:
30 and 1
Step-by-step explanation:
You add 1 to 30 to get your answer of 31.
30 + 1 = 31
You can also multiply 30 times 1 to get thirty.
30 * 1 = 30
Have a nice day!
Step 1: Add 7 to
x
.
Step 2: Multiply by 6
The final term after following the steps is ( 42 + 6x ).
We are provided with some steps that we have to follow to reach the final answer or expression. The steps we have to follow to reach the final answer or expression are mentioned below;
Step 1: Add 7 to x
In the first steps we need to add 7 to the x. Mathematically this can be written as,
7 + x
Step 2: Multiply by 6
In the second step we need to multiply the entire term obtained in step 1 by 6 . Mathematically this can be written as,
( 7 + x ) × 6
= 42 + 6x
Thus, the final term is ( 42 + 6x ).
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What is the probability of tossing an odd number with 6 sided number cube ?
Okay, here we have this:
Considering the provided information, we are going to calculate the requested probability, so we obtain the following:
Let us remember that in a 6-sided dice, the numbers it contains are (1,2,3,4,5,6), and of those 3 are odd, then we are going to substitute in the following formula of the simple probability of an event :
Probability of an event=Favorable Cases/Possible Cases
Probability of tossing an odd number with 6 sided number cube =3/6
Probability of tossing an odd number with 6 sided number cube =1/2
Finally we obtain that the probability of tossing an odd number with 6 sided number cube is 1/2.
12
3 4
5 6
78
In the figure, a || b, and both lines are intersected by transversal t. Complete the statements to prove that m²1 = m25.
a | b (given)
m21+ m23 = 180° (Linear Pair Theorem)
m25+ m26 = 180° (Linear Pair Theorem)
m21+ m23 = 25 + 26 (
m23= m26 (
m21= m25 (Subtraction Property of Equality)
The angle value of m is m∠7 = m∠3 = 125° in linear pair.
What linear pair?
When two lines meet at a single point, a pair of linear angles is created. If, following the junction of the two lines, the angles are next to one another, they are said to be linear. A linear pair always has an angle total of 180 degrees.m∠1 = 180° - 55° = 125°
m∠2 = 55° [ vertical angle ]
m∠3 = m∠1 = 125° [ vertical angle ]
m∠4 = 180° - m∠3 = 180 - 25 = 55°
m∠5 = m∠1 = 125°
m∠6 = m∠2 = 55°
m∠7 = m∠3 = 125°
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Question 5 of 5
Compare 7/8 and 8/9 by converting each fraction to a decimal. Which is larger?
Answer:
8.9 is larger
Step-by-step explanation:
7/8 is 0.875 in decimal form
8/9 is 0.88 or 0.89 if you round up.
7/8 < 8/9
Hope this helps! Please have a great day :)
how do you mak y squared equal 169
Answer:
13
Step-by-step explanation:
y^2 = 169
y = [tex]\sqrt{169}[/tex]
y = 13
Help me with this ,8th grade math look at attachment
100 points
Answer:7
Step-by-step explanation:
Answer:
its 7!!!!
Step-by-step explanation: i just got it right im in 8th grade also!
Express given equations in standard form:-
(a) 2x-5y =4 (b) 6x+ 3y = 12
Answer: a) [tex]y = \frac{2}5x} - \frac{4}{5}[/tex] b) y = -2x + 4
Step-by-step explanation:
2x - 5y = 4
2x - 4 = 5y
[tex]y = \frac{2}5x} - \frac{4}{5}[/tex]
6x + 3y = 12
3y = -6x + 12
y = -2x + 4
Z23w1120х23YWhat is the measure of angle Z?
We are given a trapezoid and we are asked to determine one of its angles. To do that we need to have into account that the following angles are equal:
[tex]\begin{gathered} \angle W=\angle X \\ \angle Z=\angle Y \end{gathered}[/tex]Also, the sum of two different angles must be equal to 180, therefore, we have the following relationship:
[tex]\angle W+\angle Z=180[/tex]Replacing the value of angle W:
[tex]112+\angle Z=180[/tex]Subtracting 112 to both sides:
[tex]\begin{gathered} \angle Z=180-112 \\ \angle Z=68 \end{gathered}[/tex]Therefore, the measure of angle Z is 68.
A rectangular prism has a length that is 3 inches shorter than the height and a width that is 5 inches longer than the height. Fill in the blanks to create an equation for the volume of the prism as a function of the height.
An equation for the volume of the prism as a function of the height is Volume = h³ + 2h² - 15h.
We are given a rectangular prism.A rectangular prism is no different than a cuboid.Let the height of the rectangular prism be "h".The length of the rectangular prism is "h-3".The width of the rectangular prism is "h+5".The volume of the rectangular prism is the same as that of the cuboid.The volume of the rectangular prism is the product of its length, its width, and its height.The volume of the rectangular prism is (h - 3)*(h + 5)*h.An equation for the volume of the prism as a function of the height is :Volume = (h - 3)*(h + 5)*hVolume = (h² + 2h - 15)*hVolume = h³ + 2h² - 15hTo learn more about prism, visit :
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Because the dividend is the same for all three expressions the larger the divisor the__the quotient
Given:
Because the dividend is the same for all three expressions the larger the divisor the__the quotient
the answer will be: smaller or least
suppose a 95% confidence interval was made to estimate the monthly cost of internet service instead of a 90% confidence interval. how would the interval change?
The 95% confidence interval will be more extensive than the 90% confidence interval
In measurements, the probability that a population boundary will fall between a bunch of values for a specific level of the time is alluded to as a certainty stretch. Investigators every now and again utilize certainty goes that incorporate 95% or the vast majority of expected perceptions. Thus, it could be presumed that there is a 95% probability that the genuine worth falls inside that reach assuming that a point gauge of 10.00 with a 95% certainty time frame - 10.50 is determined utilizing a factual model.
The degree of conviction or vulnerability in a testing cycle is estimated by certainty spans.
Also, they are utilized in relapse examination and speculation testing.
To decide measurable importance, analysts often join certainty spans with p-values.
95% or almost 100% certainty levels are most often utilized in their development.
Which of the following expressions are equivalent to ( 9 7 8 + 2 4 5 ) − 1 2 (9 8 7 +2 5 4 )− 2 1 left parenthesis, 9, start fraction, 7, divided by, 8, end fraction, plus, 2, start fraction, 4, divided by, 5, end fraction, right parenthesis, minus, start fraction, 1, divided by, 2, end fraction? Choose 2 answers: Choose 2 answers: (Choice A) A 9 7 8 + ( 2 4 5 − 1 2 ) 9 8 7 +(2 5 4 − 2 1 )9, start fraction, 7, divided by, 8, end fraction, plus, left parenthesis, 2, start fraction, 4, divided by, 5, end fraction, minus, start fraction, 1, divided by, 2, end fraction, right parenthesis (Choice B) B 9 7 8 + 2 4 5 + ( − 1 2 ) 9 8 7 +2 5 4 +(− 2 1 )9, start fraction, 7, divided by, 8, end fraction, plus, 2, start fraction, 4, divided by, 5, end fraction, plus, left parenthesis, minus, start fraction, 1, divided by, 2, end fraction, right parenthesis (Choice C) C 9 7 8 − ( − 2 4 5 ) − ( − 1 2 ) 9 8 7 −(−2 5 4 )−(− 2 1 )9, start fraction, 7, divided by, 8, end fraction, minus, left parenthesis, minus, 2, start fraction, 4, divided by, 5, end fraction, right parenthesis, minus, left parenthesis, minus, start fraction, 1, divided by, 2, end fraction, right parenthesis (Choice D) D − ( − 9 7 8 + 2 4 5 ) − 1 2 −(−9 8 7 +2 5 4 )− 2 1 minus, left parenthesis, minus, 9, start fraction, 7, divided by, 8, end fraction, plus, 2, start fraction, 4, divided by, 5, end fraction, right parenthesis, minus, start fraction, 1, divided by, 2, end fraction (Choice E) E 9 7 8 − ( − 2 4 5 − 1 2 ) 9 8 7 −(−2 5 4 − 2 1 )
The equivalent expressions to (9 7/8 + 2 4/5) - 1/2 are given as follows:
a) 9 7/8 + (2 4/5) - 1/2.
b) 9 7/8 + 2 4/5 + (-1/2).
What are equivalent expressions?Equivalent expressions are expressions that have the same result.
In this problem, the expression a is equivalent to the given expression, as the only difference is the order of the operations being applied, as the subtraction of 2 4/5 and -1/2 is applied before the addition of 9 7/8 + 2 4/5.
Expression b is also equivalent to the given expression, as an addition with the negative number in the fraction is made. However, the addition sign means that the sign inside the parenthesis is kept, which is negative, hence no change is made to the expression.
The remaining expressions involve changes to the signals of each term, hence they are not equivalent to the presented expressions.
Missing informationThe problem is given by the image at the end of the answer.
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On Tuesday, the mailman delivers three checks for $5 and two bills for $2 each. If you had a starting balance of $25, what is the ending balance?
Answer:£6
Step-by-step explanation:
First, you need to do 5×3= 15 you times it by three, because there are three checks of £5
Then do 2×2=4 you times it by 2, because there are two checks of £2.
£15+£4=£19
Then Subtract £25-£19= £6
Hope this helps!
solve for t
125,000 = 45,000 (1 + .021/365) (365t)
If the equation be 125000 = 45000( 1 + 0.021/365[tex]$) ^{365t[/tex] then simplifying we get the value of t exists 7.61 x [tex]10^{-6}[/tex].
How to simplify an equation?Solving a math problem is the same thing as simplifying an expression. You basically strive to write an expression as simply as you can when you simplify it. At the conclusion, there shouldn't be any more multiplying, dividing, adding, or removing to do.
Let the equation be 125000 = 45000( 1 + 0.021/365[tex]$) ^{365t[/tex]
simplifying the above equation, we get
t = [tex]$\frac{125000}{ 45000( 1+ \frac{0.021}{365} ) 365}[/tex]
t = 7.61 x [tex]10^{-6}[/tex].
Therefore, the value of t exists 7.61 x [tex]10^{-6}[/tex].
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simplify the expression using the order of operations 4+(5-11) over 2^4 minus 14
You must show all your work.
Answer:
-1
Step-by-step explanation:
BEDMAS
[tex]\frac{4+(5-11)}{2^{4}-14 }\\\frac{4+(-6)}{16-14 }\\\frac{-2}{2}\\-1[/tex]
Hope that helps
in a G.P the 7th term is 16 times the 3rd term and the sum of the 2nd term and the 6th term is 102.if the common ratio(r) is positive .find the
1 common ratio
2 first term
3 sum of the 8th term
1. Common ratio of the G.P is 50
2. First term of the G.P is -100
3. Sum of the 8th term is 250.
Given,
In a Geometric progression,
7th term is 16 times the 3rd term
Sum of 2nd and 6th term is 102
Common ratio is positive.
Now,
Take a as first term.
r as common ratio
Then,
2nd term = a + r
6th term = a + 5r
So,
a + r + a + 5r = 102
Then,
2a + 6r = 102
2a = 102 - 6r
a = (102 - 6r) / 2
Now,
1. Common ratio:
Consider any term,
Here, 3rd term = a + 2r
Substitute a here.
a + 2r = (102 - 6r) / 2 + 2r
102 - 6r + 4r = 2
102 - 2 = 6r - 4r
100 = 2r
r = 100/2 = 50
That is,
The common ratio of the G.P is 50.
2. First term:
Consider,
7th term is 16 times the 3rd term
That is,
3rd term = a + 2r
7th term = 16(a + 2r)
r = 50
Then,
a + 50 × 2 = 16(a + 50 × 2)
a + 100 = 16(a + 100)
a + 100 = 16a + 1600
100 - 1600 = 16a - a
15a = -1500
a = -1500/15
a = -100
Therefore,
The first term of the G.P is -100
3. Sum of the 8th term.
8th term = a + 7r = -100 + 7 × 50 = -100 + 350 = 250
That is,
The sum of the 8th term is 250.
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A certain map shows two roads. Road A is 2 road B on the map? miles long but is 1 inches long on the map. What is the unit rate for inches per mile on this map? If road B is 15 miles long, how long is
The unit rate per inch on the map is 5/4 , and the length of road B is 18.75 miles.
in the question ,
it is given that ,
On the map [tex]1\frac{1}{2}[/tex] miles is equal to [tex]1\frac{7}{8}[/tex] inches .
we first convert the mixed fraction to normal fractions ,
we get
[tex]1\frac{1}{2}[/tex] miles = (1*2+1)/2 = 3/2 miles
and
[tex]1\frac{7}{8}[/tex] inches = (8+7)/8 = 15/8 inches
So, the statement becomes
On the map 3/2 miles is equal to 15/8 inches .
So 1 mile = (15/8)/(3/2) = (15*2)/(8*3) = 30/24 = 5/4
so , the unite rate is 5/4 inches per mile .
given the road B is 15 miles long .
and the unit rate is 5/4 .
so 15 miles = 15 *(5/4) = 75/4 = 18.75 inches
Therefore , The unit rate per inch on the map is 5/4 , and the length of road B is 18.75 miles.
The given question is incomplete , the complete question is
A certain map shows two roads. Road A is [tex]1\frac{1}{2}[/tex] miles long but is [tex]1\frac{7}{8}[/tex] inches long on the map. What is the unit rate for inches per mile on this map? If road B is 8 miles long, how long is road B on the map?
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A piece of rope 60 meters long is cut into two
pieces so that the longer piece is twice the
length of the shorter. How long are the two
pieces?
Answer:
short piece = 20
Longer piece = 40
Step-by-step explanation:
Comment
Let the shorter piece be x
Then the longer piece is 2x
Givens
The rope is 60 meters long
Equation
x + 2x = 60 meters Combine like terms
Solution
3x = 60 Divide by 3
3x/3=60/3
x = 20
What is the slope of a line perpendicular to the line whose equation is x - y = 6. Fully reduce your answer. Answer: Submit Answer
Answer:
Explanation:
The standard form of an equation is expressed as y = mx+b
m is the slope
Given the equation x - y = 6
Rewrite in standard form;
-y = -x + 6
Multiply through by -1
-(-y) = -(-x) - 6
y = x - 6
Compare with the standard equation
mx = 1x
mx+b
m is the slope
Given
the length of a base of an isosceles triangle is xthe length of a leg is 2x - 2 the perimeter of the triangle is 56 find x
The perimeter of the triangle is computed adding the length of each side. That is,
P = (2x - 2) + (2x - 2) + x
P = (2x + 2x + x) + (-2 - 2)
P = 5x - 4
Substituting with P =56 and solving for x:
56 = 5x - 4
56 + 4 = 5x
60 = 5x
60/5 = x
12 = x
a+B
A-b
2b+ a
A+b+c
A+2b-c
Please answer fast
Use segments a, b, and c to complete the following constructions of segments with length
equal to the indicated segments
Answer:
3A+B+2a+4b
Step-by-step explanation:
The distance between city an and city b is 500 miles. A length of 1.7 feet represents this distance on a certain wall map. City c and city d are 2.38 feet apart on this map. What is the actual distance between city c and city d
PLEASE HELP ASAP DUE AT 11:59PM
The actual distance between city c and city d represented by 2.38 feet on the map as required in the task content is; 700 miles.
What is the actual distance between city c and city d?It follows from the task content that the actual distance between city c and city d be determined according to the map's scale factor given.
It follows from the task content that the distance between cities a and b which is 500 miles is represented by 1.7 feet on the map;
1.7 feet ===== 500 miles
Hence, let x = the actual distance between the cities c and d represented by 2.38 on the map is; so that we have;
1.7 feet ====== 500 miles
2.38 feet ====== x miles.
x = (500 × 2.38)/1.7
x = 700 miles.
Therefore, the actual distance between the two cities c and d is; 700 miles.
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evaluate T^T -[tex]x^{2}[/tex]+3x for x=-3
Answer:
The answer is -18
Step-by-step explanation:
- [tex](-3)^{2}[/tex] + 3(-3)
-9 + -9 = -18
How much money is pictured below?
Answer:
The amount of money pictured below is one dollar
Answer:
Step-by-step explanation:
1 quarter= 25 cents
1 nickel = 5 cents
9 mickels total= 9x5= 45
1 quarter= 25 + 45= 70
and then you have one dollar
so 1 dollar and 70 cents
1.70$
The sloth travels 1/3 meters in 1/10 minute. What is the sloth’s running speed? Includes unit of measure. Round to the nearest tenth, if needed.
The sloth speed of running is 10/3 meters per minute
Distance travelled = 1/3 meters
Time taken to travel the distance = 1/10 minute
The formula for speed is given:
The distance travelled in a unit of time is called speed. It refers to a thing's rate of movement. The scalar quantity known as speed is the velocity vector's magnitude. It has no clear direction. A faster rate of movement is indicated by a higher speed. It is travelling more slowly if the speed is lower.
Speed = Distance/ Time
Speed of the sloth = (1/3)/(1/10)
= 1/3*10/1
= 10/3 meters per minute
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Please Help!
5|x + 9| < 10
Answer: -7, -11
Step-by-step explanation:
[tex]5|x+9| \leq 10\\\\|x+9| \leq 2\\\\-2 \leq x+9 \leq 2\\\\-11 \leq x \leq -7[/tex]
Answer:
x∈(−11,−7)
Step-by-step explanation:
I need 23 and 24. The directions for them are solve for x. And assume that lines which appear to be diameters are actual diameters.
Explanation
Question 23
To get the value of x, let us get y as shown below
[tex]\begin{gathered} y+100=180^0(linear\text{ pairs}) \\ y=180-100=80^0 \end{gathered}[/tex]Next, we will make use of the fact tha y and (x+85 ) are vertical angles so that
[tex]\begin{gathered} y=x+85\text{ \lparen linear pairs\rparen} \\ where\text{ y=80} \\ 80=x+85 \\ x=80-85=-5 \\ x=-5 \end{gathered}[/tex]For question 23, x = -5
For question 24
The total angle in a circle is 360 degrees so that
[tex]-38x+4+65+42+95+40=360[/tex]solving for x
[tex]\begin{gathered} -38x+246=360 \\ -38x=360-246 \\ -38x=114 \\ x=\frac{114}{-38} \\ x=-3 \end{gathered}[/tex]For question 24, x =-3
PLEASE HELP !!! QUICKKK !!
A function with the formula f(x) = ax + b, where a and b are real values, is referred to as a linear function.
The rate of change will be 3/4.
What is meant by linear function?A function with the formula f(x) = ax + b, where a and b are real values, is referred to as a linear function. Here, a stands for the line's gradient, and b for the y-axis intercept (which is sometimes called the vertical intercept).
The rate of change of y with respect to x, can be calculated utilizing any two of the pairs of values of the table, say, (3, -5) and (7, -2).
Rate of change [tex]$=\frac{y_2-y_1}{x_2-x_1}$[/tex]
Let, (3, -5) = (x1, y1) and (7, -2) = (x1, y1).
Rate of change [tex]$=\frac{(-5)-(-2)}{7-3}$[/tex]
Rate of change = 3/4.
Therefore, the correct answer is option c) 3/4.
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Landon works at a movie theater. yesterday he worked 4 hours and made $48. how much money will he make in 1 hour? how many hours does he need to work to make $156?
The amount of money Landon will make in 1 hour is $12 and he needs to work for 13 hours to make $156.
The amount of money he will make in 1 hour can be calculated by using division.
It can be determined by dividing the total amount earned by him by the total number of hours he worked yesterday. Therefore;
money earned in 1 hour = total amount earned ÷ total number of hours
money earned in 1 hour = 48 ÷ 4
money earned in 1 hour = $12
Now we can calculate the number of hours he needs to work at the movie theater to make $156 by dividing the desired amount by the amount earned in one hour. Therefore;
number of hours required = 156 / 12
number of hours required = 13
Hence, Landon will make $12 in one hour and he will need to work 13 hours to make $156
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