Answer:
2/3x + 1/6x = 30
x represents her money, because it is unknown
and 30 represents the leftover money she was left, so we solve for x.
x - (2/3x + 1/6x) = 30
Combine multiplied terms into a single fraction.
Find a common denominator;
x - 4/6x - 1/6x = 30
Combine fractions with common denominator.
Multiply all terms by the same value to eliminate fraction denominators;
6x - 4x - 1x / 6 = 30
Cancel multiplied terms that are in the denominator.
x/6 = 30
Multiply them.
*6 *6
To get,
x = 180
Jessica had 180 dollars in her pocket before shopping.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let's assume that Jessica had 'x' dollars in her pocket before going shopping.
Jessica used 2/3 of her money to buy books, which is (2/3)x dollars.
She used 1/6 of her money to buy notebooks, which is (1/6)x dollars.
So, the total amount of money spent on books and notebooks is:
(2/3)x + (1/6)x = (4/6)x + (1/6)x = (5/6)x
Jessica had 30 dollars left in her pocket after shopping. So, we can write:
x - (5/6)x = 30
Simplifying the equation, we get:
(1/6)x = 30
Multiplying both sides by 6, we get:
x = 180
Therefore, Jessica had 180 dollars in her pocket before shopping.
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I think of a number, multiply it by 3, and add 4, i get 22
John and Hank work as gift wrappers at a toy store. In 4 minutes, John can wrap 2 small boxes. In 5 minutes, Hank can wrap 3 small boxes.
In 20 minutes, John can wrap______ small boxes and Hank can wrap______ small boxes. So, Hank can wrap more small boxes in 20 minutes than John can.
Answer:
In 20 minutes, John can wrap 10 small boxes and Hank can wrap 12 small boxes. Hank can wrap 2 more boxes than John in 20 minutes.
Draw a rectangle that is 4 squares long and
1
--
2 of a square wide.
Then add up the partial squares to find the area.
Multiply to check your answer
Please include picture. thank you
Tickets for the school play cost $4 for students and $7 for adults. For one performance,
146 tickets were sold for $779. How many tickets were for adults and how many were
for students?
81 students and 65 adults
70 students and 77 adults
80 students and 66 adults
65 students and 81 adults
Answer: D
Step-by-step explanation:
Total tickets sold is $779
Calculate the options to get the right answer.
Option D is correct at
81 students at $4 = 324
65 adults at $7= 455
Total is $ 779
please. need help with this problem
Answer:
4/5
Step-by-step explanation:
this will not need the bot
Question is down below:
Answer:
61.(81) repeating
Step-by-step explanation:
Can u give me brainliest?
please helpppppppp meeeeeeeeeeeeeeee
Answer: u can use a website called mixed numbers fractions it’s easy <3
1. 11/2
1. 11/22. - 1/2
1. 11/22. - 1/23. - 47/20
Hope this helps!
Kramer invested $15,000 in a certificate of deposit for 1 year. The certificate earns
interest at an annual rate of 4.5% compounded daily. The amount per $1.00 is
1.046025. What is the effective annual yield?
4.6%
0 4.5%
5.4%
6.4%
Angle ADB is adjacent to angle BDC. Which of the following is a true statement about the angles?
We need x first
[tex]\\ \rm{:}\dashrightarrow 2x+3x-6=74[/tex]
[tex]\\ \rm{:}\dashrightarrow 5x-6=74[/tex]
[tex]\\ \rm{:}\dashrightarrow 5x=80[/tex]
[tex]\\ \rm{:}\dashrightarrow x=16[/tex]
<ADB=32°<BDC=42°1. Based on the information in the two-way table, what is the probability that a person selected at random is a left-handed male?
(Two-way table at the bottom)
A.) 4%
B.) 6%
C.) 52%
D.) 38%
2. Based on the information in the two-way table, what is the probability that a person selected at random is a right-handed?
A.) 56%
B.) 44%
C.) 10%
D.) 90%
Probabilities are used to determine the chances of events
The probability that a person selected at random is a left-handed male is 5/121The probability that a person selected at random is a right-handed is 109/121How to determine the probabilities?Probability that a person selected at random is a left-handed male
From the table, the number of left-handed male is 5, and a total of 121 people were surveyed.
The probability is then calculated as:
[tex]p = \frac{5}{121}[/tex]
Hence, the probability that a person selected at random is a left-handed male is 5/121
Probability that a person selected at random is a right-handed
From the table, the number of right-handed people is 109
The probability is then calculated as:
[tex]p = \frac{109}{121}[/tex]
Hence, the probability that a person selected at random is a right-handed is 109/121
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Using it's concept, it is found that the probabilities are as follows:
1. A.) 4%
2. D.) 90%
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Item 1:
Total of 121 people, 5 are left handed males, hence:
p = 5/121 = 0.0413 = 4%.
Item 2:
109 out of 121 people are right-handed, hence:
p = 109/121 = 0.9 = 90%.
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what is the absolute value of
|-20|+|30|
Answer: 50
Step-by-step explanation:
|-20| = 20
|30| = 30
20 + 30 = 50
Find the measure of the numbered angles for the given Isosceles Trapezoid
Answer:
Step-by-step explanation:
Hello!
This is a trapezoid. It is a quadrilateral with one pair of parallel sides while other sides are non-parallel. Here, the opposite angles are alternate, that is, they have together 180°.
Isosceles trapezoid
An isosceles trapezoid is a trapezoid with congruent base angles and congruent non-parallel sides. Here, the base angles are the same.
The line segment joining the midpoints of the parallel sides is perpendicular to the bases and the diagonals are the same in length.
Good luck:)
Which list orders integers from greatest to least?
A. 1, 3, -8, -6, -3
B. 3, 1, -3, -6, -8
C. 3, 1, -8, -6, -3
D. -8, -6, -3, 1, 3
Answer:
Second one
Step-by-step explanation:
See
greater to lower means
a_1-a_2>0So
3>1>-3>-6>-8Option B is correct
A pizza is cut into pieces. Kevin takes 1/4 of the total pieces. Keith takes one piece less than twice the number of pieces Kevin took. How many of pizza are left ?
a. 1/4x
b. 1/4x+1
c. 1/2x+1
d. 3/4x-1
Answer: I believe the answer is d or b
Step-by-step explanation:
The number of pizza pieces left is (x + 4) / 4. Option c
How to determine the number of pizza pieces leftLet's assume the total number of pizza pieces is represented by 'x'.
Kevin takes 1/4 of the total pieces, which is (1/4) * x = x/4.
Keith takes one piece less than twice the number of pieces Kevin took, which is 2 * (x/4) - 1 = (2x/4) - 1 = x/2 - 1.
To calculate the number of pizza pieces left, we need to subtract the sum of Kevin's and Keith's pieces from the total number of pieces (x):
Leftover pieces = Total pieces - (Kevin's pieces + Keith's pieces)
= x - (x/4 + x/2 - 1)
= x - (3x/4 - 1)
= x - 3x/4 + 1
= (4x - 3x + 4) / 4
= (x + 4) / 4
Therefore, the number of pizza pieces left is (x + 4) / 4.
The correct option among the given choices would be (c) 1/2x + 1.
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If y varies inversely as x and x is 6 when y is 13, what is x when y is 8? a. 9. 75 b. 3. 69 c. 0. 27 d. 6. 5.
The value of x when y is 8 is 9.75.
It is given that
y ∝ 1/x
y = k/x......(1)
Where k is a constant of proportionality
What is the constant of proportionality?The constant of proportionality is the ratio that relates two given values.
When y =13, x=6
Means, 13 = k/6
k = 78
Putting the value of k in equation (1)
y = 78/ x
8 = 78/ x
x =9.75
Therefore, The value of x when y is 8 is 9.75.
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pleaseeeeeeeeeee help me this will mean alot
Answer:
Expressions A,C and E
Step-by-step explanation:
Collecting like terms will give us :
-5.5z +7y - 5
This is expression E
Expressions A and C are equivalent expressions meaning that they are the same thing but just in a different order.
Find the value of k if the remainder is 13 when
25 + 4x4 + kx3 + x – 11 is divided by x + 3
Answer:
[tex]k = \frac{322}{27} [/tex]
Step-by-step explanation:
x + 3 = 0 → x = - 3
25 + 4(-3)⁴ + k(-3)³ + (-3) - 11 = 13
25 + 324 - 27k - 3 - 11 = 13
349 - 27k - 14 = 13
349 - 14 - 13 = 27k
349 - 27 = 27k
322 = 27k
k = 322/27
Write an equation of the line that passes through (4,5)
and is perpendicular to the line y= -4x+6.
An equation of the perpendicular line is y=
Answer: y=0.25x+4
Step-by-step explanation:
help meee pleaseeeeeee
Answer:
9
Step-by-step explanation:
we can use the pythagorean theorem so (15)²= (12)² + (x)²--> (15)²-(12)²=x²
take the square root of both sides ans x=9
note! this is a special type of triangle called a 3-4-5 special right triangle because all the sides when divided by a factor of 3 will simplify down to the sides 3-4-5 (only true when the hypotheneuse is the 5 because it's the longest side of a triangle)
Encontre x: 3x=27
ME AJudEm
Answer:
3x=27
x=27÷3
x=9
here is your answer
mark as brilliant
Answer:
[tex]\huge\boxed{\sf\:x = 9}[/tex]
Step-by-step explanation:
[tex]3x = 27[/tex]
Divide both the sides of the equation by 3.
[tex]x = \frac{27}{3}[/tex]
Now, solve it.
[tex]\boxed{x = 9}[/tex]
[tex]\rule{150}{2}[/tex]
Please help me in need
Answer:C
Step-by-step explanation:
Can ΔTSR and ΔQRS be proven congruent by SAS?
A) yes, because along with the given information on the diagram, SR ≅ RS by the reflexive property
B) yes, because a reflection will map ΔTSR onto ΔQRS
C) yes, because P appears to be the midpoint of SQ and TR
D) no, because not enough is information given to prove the triangles congruent by SAS
Answer: D
Step-by-step explanation:
A) this is SSA, not SAS.
b) I'm not sure what this reflection would be
C) Don't assume
0.75(2 + 6 x 4 - 2 x 7 - 2) A. 1 B. 5.25 C. 8.5 D. 22.5
Hey there!
ORIGINAL EQUATION:
0.75(2 + 6 x 4 - 2 × 7 - 2)
WORKING WITHIN the PARENTHESES:
2 + 6 x 4 - 2 × 7 - 2
= 2 + 24 - 2 × 7 - 2
= 26 - 2 × 7 - 2
= 26 - 14 - 2
= 12 - 2
= 10
NEW EQUATION:
0.75(10)
SIMPLIFY IT!
7.50 ≈ 7.5
Therefore, your answer should be: 7.5
~Amphitrite1040:)
help me solve both questions
Answer:
Step-by-step explanation:
are u on russian math?
Residents in Crown Heights voted on whether to open a Starbucks or a Coffe bean in a recently vacated lot.The number of votes in favor Starbucks was 1,760.The number for Coffe bean was 240.What percent of the voters were in favor of building the Starbucks?
Answer:
88%
Step-by-step explanation:
1760 + 240 = 2000. This means 1760/2000 of them were voting in favor of Starbucks. 1760/2000 simplifies to 88/100, which is 88%.
* 4. A circle is divided into ten equal sectors.
a. Find the measure of each central angle.
b. If the diameter is 50 in., find the length of an arc of one of the
sectors.
HELP PLEASE
Answer:
a. Find the measure of each central angle.
The central angle of a circle = 360 °
Now Pie is cut into 10 equal sectors
Angle of each sector is given by
Angle of sector = Total central angle/number of sectors
[tex] = {360}^{0} \div 10[/tex]
[tex] = {36}^{0} [/tex]
Hence , the central angle of one slice of pie is 36°
b. If the diameter is 50 in., find the length of an arc of one of the sectors.
length of an arc of one of the sectors =
[tex] = \frac{1}{n} \times 2\pi \times r[/tex]
[tex]= \frac{1}{10} \times 2\ \frac{22}{7} \times 50[/tex]
[tex] = 31.42 \: in[/tex]
Answer: 36 degrees
Step-by-step explanation:
A circle is 360 degrees.
If you divide 360 degrees by 10, (10 sectors) you get 36.
The answer is therefore 36 degrees. (don't forget your labels!!!)
HELP ASAP Sofia plots points on the coordinate plane below to show amounts of time it takes her to bike certain distances.
Answer:
A
Step-by-step explanation:
Find the distance between the two points on a coordinate A(5, 1) B(-3,- 3)
Step-by-step explanation:
hope this help uhh ...
have a good day.
[tex]\tt AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\tt AB=\sqrt{(-3-5)^2+(-3-1)^2}\\\\AB=\sqrt{-8^2+-4^2}\\\\AB=\sqrt{80}=4\sqrt{5}[/tex]
Find the slope of the line that passes through points A (-5,-3) and B (7,-5).
Answer:
slope: -2/12
slope-intercept form; y= -2/12x - 3.83
Step-by-step explanation:
Plot the two points and count the rise and the run it takes to get from one point to the other.
Find the ‘exact’ perimeter of each triangle
Answer:
[tex]\huge\boxed{\sf 8 + 4\sqrt{2} \ cm }[/tex]
Step-by-step explanation:
[tex]\theta = 45 \textdegree[/tex]
opposite = 4 cm
Using tan first to find the adjacent side:
[tex]\displaystyle tan \theta = \frac{opposite}{adjacent} \\\\tan \ 45 = \frac{4}{adjacent}\\\\1 = \frac{4}{adjacent} \\\\Multiply \ 'adjacent' \ to \ both \ sides\\\\adjacent = 4 \ cm[/tex]
Finding Hypotenuse now by using Pythagorean theorem:
[tex](Hyp)^2 = (base)^2 + (perp)^2[/tex]
where base = 4, hyp = 4
(Hyp)² = (4)² + (4)²
(Hyp)² = 16 + 16
(Hyp)² = 32
Take sqrt on both sides
[tex]Hyp = 4\sqrt{2}[/tex] cm
Exact perimeter of triangle:
= base + perpendicular + hypotenuse
= 4 + 4 + 4√2
= [tex]8 + 4\sqrt{2}[/tex] cm
[tex]\rule[225]{225}{2}[/tex]