Answer:
The answer is 123
5
→
✔ 12 1/2
3
8
→
✔ 1/2
Martin's friend bought about
✔ 6 ¼
pounds of grapes.
The number of pounds of grapes that are bought will be [tex]4\frac{29}{40}[/tex] pounds.
What is fraction?Fractions are used to represent smaller pieces (or parts) of a whole.
Given the information that Martin bought 12 3/5 pounds of grapes for a picnic, while his friend bought 3/8 of that amount.
Therefore, the amount that his friend bought will be:
= 3/8 × 12 3/5
= 3/8 × 63/5
= 189/40
= [tex]4\frac{29}{40}[/tex]
Hence, the number of pounds of grapes that are bought will be [tex]4\frac{29}{40}[/tex] pounds.
Learn more about fraction on:
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If f(x) = x^2- 6 and g(x) = 2x – 1, determine the value of (gºf)(-3).
PLEASE HELP URGANT The vertices of a rectangle are R(–5, –5), S(–1, –5), T(–1, 1), and U(–5, 1). A translation maps R to the point (–13, –9). Find the translation rule and the image of U.
Answer:
translation -(-7, -4)
The terms of a percentage lease state that rent is 3% of sales up to $100,000 and 2% of sales over $100,000. Your business plan projects monthly sales to average $190,000 per month. There is a $300 per month maintenance fee. What do you project as an average monthly rent plus maintenance fee?
Answer:
The projected average monthly rent plus maintenance fee is $4,100
Step-by-step explanation:
In the question, we are told that the percentage lease terms state that rent is 2% of sales over $100,000
Since sales is $190,000 projected,
the percentage will be 2% of 190,000
= 2/100 * 190,000 = $3,800
we now proceed to add the monthly maintenance fee
That will be $3,800 + $300 = $4,100
Answer: 5,100
Step-by-step explanation:
3. If m angle 2=98°, m angle 3=23°, and m angle 8=70°, find each measure. 4. If m angle 3=54°, find each measure.
Answer:
Step-by-step explanation:
3). m∠1 = 180° - 98° = 82°
m∠7 = 180° - ( 98° + 23° ) = 59°
m∠6 = 180° - ( 70° + 59° ) = 51°
m∠9 = m∠6 = 51°
m∠10 = 180° - 51° = 129°
m∠4 = 180° - ( 70° + 51° ) = 59°
m∠54 = 180° - (23° + 59° ) = 98°
4). m∠1 = m∠4 = m∠11 = m∠13 = 90° - 54° = 36°
m∠2 = m∠5 = 90°
m∠6 = m∠3 = m∠8 = m∠10 = 54°
m∠7 = m∠9 = 90° + 36° = 126°
m∠12 = m∠14 = 180° - 36° = 144°
The measure of an an angle can be found from other known angles and the angular relationships present
The measures of the angles are;
3. a. m∠1 = 82°, [tex]{}[/tex] b. m∠4 = 59°, c. m∠5 = 98°, d. m∠6 = 51°, e. m∠7 = 59°, [tex]{}[/tex] f. m∠9 = 51°
4. a. m∠1 = 36°, [tex]{}[/tex] b. m∠2 = 90°, c. m∠4 = 36°, d. m∠5 = 90°, e. m∠6 = 54°, [tex]{}[/tex] f. m∠7 = 126°, g. m∠8 = 54°, h. m∠9 = 126°, i. m∠10 = 54°, [tex]{}[/tex] j. m∠11 = 36°, k. m∠12 = 144°, l. m∠13 = 36°, m. m∠14 = 144°
The reason the above values are correct are as follows;
The known parameters are;
m∠2 = 98°
m∠3 = 23°
m∠8 = 70°
a. m∠1 and m∠2 are linear pair angles
Therefore;
m∠1 + m∠2 = 180°
m∠1 + 98° = 180°
m∠1 = 180° - 98° = 82°
m∠1 = 82°
b. m∠4 = m∠7 = 180° - m∠2 - m∠3
∴ m∠4 = 180° - 98° - 23° = 59°
m∠4 = 59°
c. m∠5 = 180° - m∠3 - m∠4 (sum of angles on a line)
∴ m∠5 = 180° - 23° - 59° = 98°
m∠5 = 98°
Also m∠2 = m∠5 (corresponding angles)
d. m∠6 = 180 - m∠7 - m∠8 (sum of angles on a line)
∴ m∠6 = 180° - 59° - 70° = 51°
m∠6 = 51°
e. m∠7 = m∠4 = 59° (alternate interior angles theorem)
f. m∠9 = 180 - m∠4 - m∠8 (angles sum property of a triangle)
∴ m∠9 = 180° - 59° - 70° = 51°
m∠9 = 51°
Also, m∠9 = m∠6 = 51° (corresponding angles)
4. m∠3 = 54° (given)
a. m∠1 = 180° - 90° - 54° = 36° (sum of angles on a line)
m∠1 = 36°
b. m∠2 = 90° (given, geometry symbol)
c. m∠4 = m∠1 = 36° (vertical angles)
m∠4 = 36°
d. m∠5 = m∠2 = 90° (vertical angles)
m∠5 = 90°
e. m∠6 = m∠3 = 54° (vertical angles)
m∠6 = 54°
f. m∠7 = m∠1 + m∠2 (corresponding angles, angle addition)
m∠7 = 36° + 90° = 126°
m∠7 = 126°
g. m∠8 = 180° - m∠7 (linear pair)
m∠8 = 180° - 126° = 54°
m∠8 = 54°
h. m∠9 = m∠7 = 126° (vertical angles)
m∠9 = 126°
i. m∠10 = m∠8 = 54° (vertical angles)
m∠10 = 54°
j. m∠11 = 180° - m∠5 - m∠8 (angles sum property of a triangle)
m∠11 = 180° - 90° - 54° = 36°
m∠11 = 36°
k. m∠12 = 180° - m∠11 (linear pair)
m∠12 = 180° - 36° = 144°
m∠12 = 144°
l. m∠13 = m∠11 = 36° (vertical angles)
m∠13 = 36°
m. m∠14 = m∠12 = 144° (vertical angles)
m∠14 = 144°
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Find the slope of a line perpendicular to a line containing points (3,-5) and (1,7)
Answer:
Slope of a line perpendicular to a line = [tex]\frac{1}{6}[/tex]
Step-by-step explanation:
(x₁ , y₁ ) = (3 , -5) & (x₂, y₂) = (1 , 7)
[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]= \frac{7-[-5]}{1-3}\\\\=\frac{7+5}{1-3}\\\\=\frac{12}{-2}\\\\= - 6[/tex]
Slope of the perpendicular line = [tex]\frac{-1}{m}[/tex]
[tex]= \frac{-1}{-6}\\\\= \frac{1}{6}[/tex]
PLEASE GUYS PLS HELP ME W THIS ONE QUESTION I NEED IT BY TMR OR IM DEAD SO PLS -
Answer:
(a) 32 (b) 192
Step-by-step explanation:
Since there are no other measurements i thought that it would be two 16 by 6 rectangles so you would just double the length but the height would stay the same.
Hope this helps :D
DO YOU KNOW THE ANSWER???
Answer: I think it is D x=8(k+c)
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
Isolate the variable by diving each side by factors that don't contain the variable, which is 8.
Which term describes the place where two planes intersect?
A collinear
B coplanar
C point
D line
i need help with only one question on number 4? anyone pls?
What is the solution to this linear system?Enter a value in each box to create an ordered pair?
Answer:
2,7 3,6
Step-by-step explanation:
Which of the following combinations cannot be the side lengths of a triangle?
1. 2.3 inches, 3.4 inches, and 3.2 inches
2. 4.8 inches, 5 inches, and 1.2 inches
3. 2.5 inches, 2.5 inches, and 2.5 inches
4. 6.7 inches, 1.1 inches, and 7.9 inches
9514 1404 393
Answer:
4. 6.7 inches, 1.1 inches, and 7.9 inches
Step-by-step explanation:
In order for three lengths to be able to form a triangle, the sum of the shorter two must exceed the longest.
1. 2.3 +3.2 > 3.4 . . . will form a triangle
2. 1.2 +4.8 > 5 . . . will form a triangle
3. 2.5 +2.5 > 2.5 . . . will form an equilateral triangle
4. 1.1 +6.7 = 7.8 ≯ 7.9 . . . will not form a triangle
_____
The symbol ≯ is "not greater than". The typeset version looks like ...
[tex]1.1+6.7 \ngtr 7.9[/tex]
Which of the following describes the transformation shown?
a. dilation with a scale factor of 2
b. rotation of 90º CCW
c. reflection over the x-axis
d. translation up 2 units
C) reflection over the x-axis
Which graph shows the solution to the inequality –0.5x ≤ 7.5?
__________________________________________________
A) A number line going from negative 18 to negative 8. A closed circle is at negative 15. Everything to the right of the circle is shaded.
B) A number line going from negative 18 to negative 8. A closed circle is at negative 15. Everything to the left of the circle is shaded.
C) A number line going from negative 5 to negative 2.5. A closed circle is at negative 4. Everything to the right of the circle is shaded.
D) A number line going from negative 5 to negative 2.5. A closed circle is at negative 4. Everything to the left of the circle is shaded.
__________________________________________________
Answer:
The first option
Step-by-step explanation:
Finished assignment
Answer:
the first option
Step-by-step explanation:
Students at sunnyvale Middle School volunteered to work a 2-hour Shift at a car wash fundraiser. The table shows the number of people who worked Each Shift and how many cars they washed.
is the relationship between the number of cars washed and the number of workers proportional? Complete the sentence
Answer:
the number of cars washed per person is not the same for each number of workers, so the relationship is not proportionalStep-by-step explanation:
Answer:
The number of cars washed per person is not the same for each number of workers, so the relationship is not proportional
Step-by-step explanation:
I-ready
HELP ME ASAP IF U CAN!!! a baker needs sugar syrup that is 40% sugar how many gallons of water shoud he add to 5 gallons of 70% sugar syrup to make the 40% syrup.
Answer:
The baker should add 3.75 gallon of water to 5 gallons of 70 % sugar syrup to make the 40 % syrup.
Step-by-step explanation:
The percentage concentration ([tex]r[/tex]), dimensionless, is determined by the following expression:
[tex]r = \frac{V_{sugar}}{V_{sugar}+V_{water}}[/tex] (1)
Where:
[tex]V_{sugar}[/tex] - Volume of sugar, measured in gallons.
[tex]V_{water}[/tex] - Volume of water, measured in gallons.
A 70 % sugar syrup means that there are 7 parts of sugar for each 10 parts of solution, that is, 7 parts of sugar and 3 parts of water. We need to add more water to dilute the solution to 40 %. Then, the new concentration must be equal to:
[tex]r' = \frac{V_{sugar}}{V_{sugar}+V_{water}+V'}[/tex] (2)
Where [tex]V'[/tex] is the addition of water needed to dilute the solution, measured in gallons.
If we now that [tex]V_{sugar} = 3.5\,gal[/tex], [tex]V_{water} = 1.5\,gal[/tex] and [tex]r' = 0.4[/tex], then the quantity of additional water is:
[tex]\frac{3.5\,gal}{5\,gal+V'} = 0.4[/tex]
[tex]3.5 = 0.4\cdot (5+V')[/tex]
[tex]3.5 = 2+0.4\cdot V'[/tex]
[tex]0.4\cdot V' = 1.5[/tex]
[tex]V' = 3.75\,gal[/tex]
The baker should add 3.75 gallon of water to 5 gallons of 70 % sugar syrup to make the 40 % syrup.
Answer:
3.75 gallons of water should be added
Step-by-step explanation:
Lara measured a swimming pool MAD scale drawing scale used what is 9 mm: 4 m in the drawing the pools 99 mm long what is the length of the actual pool
Answer: The actual pool is 44 m long.
Step-by-step explanation:
Given : The scale used for drawing :
9 mm: 4 m
i.e. for each 1 mm of drawing we have [tex]\dfrac{4}{9}\ \text{m}[/tex] of actual pool.
If the pool is 909 m long , then the actual pool will be [tex]\dfrac49\times99= 4\times11=44\text{ m long.}[/tex]
hence, the actual pool is 44 m long.
Multiple choice question
Answer:
d
Step-by-step explanation:
2 X 4 =8
8 X 1 = 8
Look at the factors of 24 and 32.
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 32: 1, 2, 4, 8, 16, 32
Answer:
The answer is 8 The GCF of 24 and 32 is 8
Step-by-step explanation:
Hope this helps
Answer:
the answer is 8
Step-by-step explanation:
A line passes through (2, -1) with slope 3.
What is the equation of the line in point-slope form?
A. y - 1 = 3(x + 2)
B. 3(y + 2) = x - 1
C. y - 2 = ( 1/3 x + 1)
D y + 1 = 3(x - 2)
Divide write answer in simplest form 8 1/3 ÷ 2/3
See attachment for math work and answer.
Doug's teacher told him that the standardized score (z-score) for his mathematics
exam, as compared to the exam scores of other students in the course, is 1.20.
Which of the following is the best interpretation of this standardized score? (4
points)
1) Doug's test score is 120.
2)
Doug's test score is 1.20 times the average test score of students in the
course.
3) Doug's test score is 1.20 above the average test score of students in the
course.
O 4) Doug's test score is 1.20 standard deviations above the average test score of
students in the course.
5) None of the above gives the correct interpretation.
Answer:
Doug’s test score is 1.20 standard deviations above the average test score of the students in the course.
I just took the test and got it right :)
Step-by-step explanation:
Help me please need it for now
A painter charges $200 plus $25 per can of paint used.
a. Write a function to represent the total charge for a certain number of cans
of paint.
b. What is the value of the function for an input of 4, and what does it
represent?
Answer:
A- 200+25x
B- 200+25×4=300
Continued for question B: The input of 4 into "x" indicates how many cans of paint you have bought
Step-by-step explanation:
50 POINTS FOR EACH ANSWER!!! Write the difference of the expressions 17x−13y+8 and 20x+6y and simplify it.
Answer:
-3x-19y+8
Step-by-step explanation:
Answer:
-3x-19y+8
Step-by-step explanation:
thanks for 50 points.
y=-2(×-3)(x-2) to standard form
(show work)
Answer:
y=-2x^2+10x-12
Step-by-step explanation:
graph is shown in image below
The 400-meter race times at a state track meet are normally distributed with a mean
of 52.71 seconds and a standard deviation of 3.8 seconds. Using the Standard
Normal Probabilities table, what is the approximate probability that a runner chosen
at random will have a 400-meter time less than 53.4 seconds? (5 points)
Answer:
P = 1.214
Step-by-step explanation:
Draw a normal probability curve.
Find the z score which comes out to be 0.18 (0.181578947)
look for the probability in the table.
look across 0.1 and under 8.
Get the probability and add 0.5 to it
so rhats:
0.714 + 0.5 = 1.214
-4 (5x - 1)+ -11 (2x + 4)
Answer:
−42x−40
Step-by-step explanation:
Which number does NOT represent a rational number
A. √144
B. √90
C. √100
D. 0.8
Answer:
Step-by-step explanation:
B is not rational. B = sqrt(3*3 * 2 * 5) = 3 sqrt(10) sqrt(10) is irrational.
Yesterday Jack drove 39 1/2 miles. He used 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon?
Answer:
31.6 or 31 6/10 or 31 3/5
39.5/1.25 = 31.6
Jack gets 31.6 miles per gallon.
.25 = 1/4
.5 = 1/2
Explain the steps to solve for g in the equation -1/3g+5=2
Answer:
g=9
Step-by-step explanation:
-1/3x9=-3+5=2
(Score for Question 2: 4 points)
2. You buy a pair of pants. The original cost of the pants is $30.00. The pants are on
sale for 20% off. Show your work or explain your mental math for each part! Pls explain!
Answer: 24
Step-by-step explanation:
30 divided by 10 to get 10 percent which is 3, multiply that by 2 to get 20 percent which is 6, 30 (100 percent) minus 6 (20 percent) equals 24
