Answer:
The number is : x = 37
Step-by-step explanation:
In order to solve this question, we may set up a proportion.
If the original number is 100%, 59.94 would be 162% of the original, as it was increased by 62%.
so
59.94 → 162%
x → 100%
solving the proportion gives you
59.94 × 100 = 162 × x
x = (59.94 × 100)/162
x = 5994/162
x= 37
Thus, the number is : x = 37
how do you solve
3^3 ÷ 9^1
Answer:
pemdas
Step-by-step explanation:
3^3 = 27 (3*3*3)
9^1 =9 (9)
27/9= 3
-= 20 Points For this Question! =-
First Question: Find an equation of the line with slope 3 that contains the point (-7, 11).
Second Question: Find an equation of the line with slope 3/5 that contains the point (10, -6).
Figure PQRS is a parallelogram.
Parallelogram P Q R S is shown. Angle Q is (x + 15) degrees and angle R is (6 x minus 10) degrees.
What are the measures of angles P and S?
∠P = 20°; ∠S = 160°
∠P = 40°; ∠S = 140°
∠P = 140°; ∠S = 40°
∠P = 160°; ∠S = 20°
∠P = 40°; ∠S = 140° answer
Step-by-step explanation:
The measures of angles of the parallelogram are ∠P = 140°; ∠S = 40°
What is a Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the parallelogram be represented as PQRS
Now , the measures of angles of parallelogram are
The measure of m∠Q = ( x + 15 )°
The measure of m∠P = ( 6x - 10 )°
where ∠Q and ∠R are supplementary to each other
For a parallelogram , same-side interior angles (consecutive angles) are supplementary
On simplifying , we get
m∠Q + m∠P = 180°
( x + 15 ) + ( 6x - 10 ) = 180
7x + 5 = 180
Subtracting 5 on both sides , we get
7x = 175
Divide by 7 on both sides , we get
x = 25
And , the measure of ∠Q = 40° = measure of ∠S
The measure of ∠R = 140° = measure of ∠P
Hence , the measures of angles of parallelogram are solved
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Evaluate each expression if a = 3, b = 5, and c = 1.
what is ac + b
Answer:
a = 3, b = 5, and c = 1.
what is ac + b=8 answer
Step-by-step explanation:
a(c)+b
3(1)+5
3+5= 8
The required solution is 8 when substituting the values of a = 3, b = 5, and c = 1.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
The expression is given in the question, as follows:
ac + b
We have to determine the evaluation when a = 3, b = 5, and c = 1.
As per the question, we have
⇒ ac + b
Substitute the values of a = 3, b = 5, and c = 1 n the above expression,
⇒ 3(1) + 5
⇒ 3 + 5
Apply the addition operation, and we get
⇒ 8
Thus, the required solution is 8.
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3 (x - 3) + x (r + 4)
Answer:
Step-by-step explanation:
3(x-3)+x(r+4)
3x-9+xr+4x
7x+9+xr
Please help me with this one!
if a 11 inch wheel cost $21.35 what is the cost per square inch
Answer:
$1.94 per square inch
Compare and contrast linear and non linear scatter plots
Answer:
non-linear plots are when the dots are far away from the other dots and linear is when all the dots are together
what is the slope of the graph
Answer:
- 5/3
Step-by-step explanation:
Line is passing through the points (0, 2) & (3, - 3)
Slope of the graph = (- 3 - 2)/(3 - 0) = - 5/3
You and your friend are in a canoe race. Your friend is a half mile in front of you and paddling 3 miles per hour. You are paddling 3.4 miles per hour. You are 8.5 miles from the finish line. How long will it take to catch up to your friend?
Answer:
To catch your friend you have to paddle for 1.25 hours
Step-by-step explanation:
Your friend is 0.5 mile in front of you and paddling 3 miles per hour. You are paddling 3.4 miles per hour.
Since the speed is the relationship between the space traveled by an object and the time used for it, then the distance is defined as:
distance= speed*time
Being x the time it takes to reach your friend, then your friend's position will be:
3miles per hour*x + 0.5 (since your friend is 0.5 mile in front of you)while your position is:
3.4 miles per hour*xWhen you reach your friend the position of both should be the same. So:
3*x + 0.5= 3.4*x
Solving:
0.5= 3.4*x - 3*x
0.5= 0.4*x
0.5 ÷0.4= x
1.25= x
This means that to catch your friend you have to paddle for 1.25 hours
whats the missing number?
Answer: -0
The absolute value of any number is positive so you can say the absolute value of -0 is 0 and it’ll be true. You can also say the absolute value of 0 is 0.
you roll a 6-sided dice.
what is p(1)?
write your answer as a fraction or whole number.
how would I go about solving this?
Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
ok so the probabilty of getting something on a six sided die is [tex]\frac{1}{6}[/tex], since there was 6 possible outcomes. so the probabolity of getting 1 would be 1 out of 6
i hope this helps :)
Please help.
write a compound inequality that represents the fahrenheit temperatures between 50 degrees celsius and 70 degrees celsius.
If Jose has a car with a mass of 55,000 kg and it is acted upon with a force of 200 Newtons. What is the acceleration?
Answer:
275 m/s2
Step-by-step explanation:
I know because I had this question in a test and got it correct.
Given the value of the force applied and the mass, the acceleration of Jose's car is 0.0036m/s².
What is force?A force is simply referred to as either a push or pull of an object resulting from the object's interaction with another object.
From Newton's Second Law, force is expressed as;
F = m × a
Where is mass of object and a is the acceleration
Given the data in the question;
Mass of the rock m = 55000kgForce F = 200N = 200kgm/s²Acceleration a = ?We substitute our given values into the expression above.
200kgm/s² = 55000kg × a
a = 200kgm/s² ÷ 55000kg
F = 0.0036m/s²
Given the value of the force applied and the mass, the acceleration of Jose's car is 0.0036m/s².
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A laptop has a listed price of 623.95 before tax. If the sales tax rate is 9.25%, find the total cost of the laptop with sales tax included.
Round your answer to the nearest cent, as necessary.
ANSWER.
$1,500.00 net price / sales tax 6.25 / $1,593.75 total price
Step-by-step explanation:
hope it helps
Sarah bought a television that cost $805.She plans to make equal payments of $38 each month until the television is paid in full. About how many payments will Sarah make
Answer:
Step-by-step explanation:
805/38= 21 7/38
So that is 21 full payments of $38.00 and one of $7.00
Write the product, and then write the expression in standard form by removing parentheses and combining like terms.
Justify each step.
A. The multiplicative inverse of 1/5 and (2x - 1/5)
Please help!!!
Step-by-step explanation:
please see it my steps to work this problem
Answer:
IG it is 2
Step-by-step explanation:
ur acc got something hahhah
y=10x+6, what is the y intercept?
Answer:
6
Step-by-step explanation:
I hope this helps :)
HELP FAST !!! WILL GIVE BRAINLIEST!!
Answer:
56 degrees
Step-by-step explanation:
Coz they're corresponding angles
Mark is 8 inches shorter than two times the height of his little brother bryan. If mark is 52 inches tall , how tall is bryan?
Answer:
60 inches
Step-by-step explanation:
Mark: 52 inches
Bryan: x Inches
X: 52 + 8
52 + 8 = 60
x= 60
Bryan: 60 inches
because mark is 8 inches shorter so bryan is 8 inches taller.
5) Find the equation of the line going through the point (4,1) and
perpendicular to y = - 3x +7
Answer:
3y=x-1 OR y=⅓x-⅓
Step-by-step explanation:
Lets call the equation y=-3x+7 line l1
the other line passing through (4,1) l2
If two lines are perpendicular,then the product of their roots=-1
That is m(l1)×m(l2)=-1
Slope of l1=-3 therefore slope of l2=-1÷-3=⅓
Now that we have determined the slope of l2 we move on to find it's equation using the point-slope form
y-y1=m(x-x1)
y-1=⅓(x-4)
3y-3=x-4
3y=x-4+3
3y=x-1 OR y=⅓x-⅓
tell me your opinions on the following image
Answer:
gorgeous
Step-by-step explanation:
Answer:
i am disturbed.
Step-by-step explanation:
this image is disturbing to me, because he is staring at you in your sleep too
What is the measure of angle A?
A.54
B.60
C.16.3662
D.66
E.126
Answer:
c.
Step-by-step explanation:
100 points!!
Nicole has 425 candy bars to sell for a fundraiser. Let C be the number of candy bars. Let P be the amount made from selling the candy bars. Suppose that P = 2C - 300 gives P as a function of C.
Identify the correct description and appropriate set of values for the domain of the function.
Group of answer choices
the number of candy bars; open curly brackets 0 comma 1 comma 2 comma 3 comma horizontal ellipsis comma 425 close curly brackets
the number of candy bars; the set of all real numbers from 0 to 300
the amount made from selling the candy bars; the set of all real numbers from 0 to 300
the amount made from selling the candy bars; open curly brackets 0 comma 1 comma 2 comma 3 comma horizontal ellipsis comma 425 close curly brackets
Answer:
its c
Step-by-step explanation:
i just too quiz and it siad this
Answer:
c
Step-by-step explanation:
took the quiz and got 100% on it
3 1/4 / 2 3/8= a b/c
Answer:
3 divided by 2 is 1.5
1/4 divided by 3/8 is 1/8
Step-by-step explanation:
A company can buy packages of 500 sheets of paper for $4. At that rate, how much paper can be bought for $2000? Group of answer choices
A principal of $6000 is invested in an account paying an annual rate of 5%. Find the amount in the account after 4 years if the account is compounded semiannually, quarterly, and monthly. (a) The amount in the account after 4 years if the account is compounded semiannually is $ nothing. (Round to the nearest cent.)
Solution :
Given :
Principal amount deposited, P = $ 6000
Rate of interest, r = 5%
Number of years, t = 4 years
When the deposited amount is compounded semiannually, i.e. n = 2
Therefore,
Future value,
[tex]$FV = P\left( 1 +\frac{r}{n}\right)^{nt}$[/tex]
[tex]$FV = 6000\left( 1 +\frac{0.05}{2}\right)^{2 \times 4}$[/tex]
[tex]$FV = 6000 \times (1.025)^8$[/tex]
= 6000 x 1.2184
= 7310.4
Therefore, after 4 years there will be $ 7310.4 in the amount when compounded semi annually.
When the deposited amount is compounded quarterly, i.e. n = 4
Therefore,
Future value,
[tex]$FV = P\left( 1 +\frac{r}{n}\right)^{nt}$[/tex]
[tex]$FV = 6000\left( 1 +\frac{0.05}{4}\right)^{4 \times 4}$[/tex]
[tex]$FV = 6000 \times (1.0125)^{16}$[/tex]
= 6000 x 1.219889
= 7319.334
Therefore, after 4 years there will be $ 7319.334 in the amount when compounded quarterly.
When the deposited amount is compounded monthly, i.e. n = 12
Therefore,
Future value,
[tex]$FV = P\left( 1 +\frac{r}{n}\right)^{nt}$[/tex]
[tex]$FV = 6000\left( 1 +\frac{0.05}{12}\right)^{12 \times 4}$[/tex]
[tex]$FV = 6000 \times (1.0041667)^{48}$[/tex]
= 6000 x 1.22089
= 7325.34
Therefore, after 4 years there will be $ 7325.34 in the amount when compounded monthly.
Leila received a $80 gift card for a coffee store. She used it in buying some coffee that cost $7.58 per pound. After buying the coffee, she had $34.52 left on her card. How many pounds of coffee did she buy?
Answer:
4.55 or about 5 pounds
Step-by-step explanation:
I did 34.52 / 7.58 = 4.55 or rounded up, to about 5 pounds :D
simplify [tex]\sqrt{80} + \sqrt{2\frac{2}{9}[/tex]
Answer:
[tex]\displaystyle \frac{14}{3}\sqrt{5}[/tex]
Step-by-step explanation:
Simplify:
[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}[/tex]
We must express the mixed fraction into an improper fraction:
[tex]2\frac{2}{9}=2+\frac{2}{9}=\frac{20}{9}[/tex]
[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle \sqrt{80} + \sqrt{\frac{20}{9}}[/tex]
Since 80 = 16*5 and 20=4*5
[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle \sqrt{16*5} + \sqrt{\frac{4*5}{9}}[/tex]
[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle 4\sqrt{5} + \frac{2}{3}\sqrt{5}[/tex]
Adding the fractions:
[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle (4 + \frac{2}{3})\sqrt{5}[/tex]
[tex]\mathbf{\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle \frac{14}{3}\sqrt{5}}[/tex]
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (-3,-4); y=-3x+4
Answer:
y=-3x-13
Step-by-step explanation:
Plug in the -2 and -4 for the y and x. The slope is the same
1) -4 = -3 (-3)+b
2) -4=9+b
3) -4-9=b
4) -13=b
The equation is y=-3x-13