Rewrite the second equation:
This is to make the calculation easier. There are other ways to do this as well.
3y = 3x - 6
Substitute that into the first equation:
Since they are the same thing (=), it is possible to replace 3y.
2x + (3x - 6) = 9
Solve the equation:
2x + 3x = 9 + 6
5x = 15
x = 3
Substitute x = 3 into the first equation:
2(3) + 3y = 9
6 + 3y = 9
3y = 3
y = 1
Answer: x = 3, y = 1
what are the next four multiples of the fraction: 5/6
John made a trip to the train station and
back. On the trip there he drove 32 km/h
and on the return trip he went 40 km/h.
How long did the trip there take if the
return trip took four hours?
Answer:
5 hours
Step-by-step explanation:
Luke and nabila are playing squash Luke wins twice as many games as nabila they play 18 games how many do each win
Answer:
Luke = 12 games
Naliba = 6 games
Step-by-step explanation:
Luke and naliba are playing squash
Luke wins twice as many games as naliba
They play a total of 18 games
Luke= 2x
naliba = x
2x +x= 18
3x= 18
x= 18/3
x= 6
Luke= 2(6)
= 12
naliba= 6
Hence luke wins 12 games and naliba wins 6 games
The sum of two consecutive numbers is -91. Find the value of the smaller number
Answer: -46
Step-by-step explanation:
Consecutive means next in order.
Sum means answer to an addition problem.
-45 + -46 = -91
-46 is smaller (farther away from zero) than -45
Brandon Brandon Drew the two congruent squares shown he divided one square into 2 congruent triangular parts he divided the other square into 2 congruent rectangular parts
Incomplete question: Options
(a) Each triangular part and each rectangular part represents 1/2 the area of one square.
(b) Each triangular part has an area that is greater than the area of each rectangular part.
(c) Each triangular part and each rectangular part represents 1/4 the area of one square
(d) Each rectangular part has an area that is greater than the area of each triangular part.
See attachment for squares
Answer:
(a) Each triangular part and each rectangular part represents 1/2 the area of one square.
Step-by-step explanation:
Given
See attachment
Required
Which statement is true
Before the division, the area of both squares is:
[tex]Area = l * w[/tex]
After the division:
The area of the triangle is:
[tex]Area = \frac{1}{2} * base * height[/tex]
[tex]A_1 = \frac{1}{2} * l * w[/tex]
Substitute Area for l * w
[tex]A_1 = \frac{1}{2} *Area[/tex]
This equals half the area of the square
The area of the rectangle is:
[tex]Area = length * width[/tex]
The length of the rectangle is now half the length of the original square.
So, we have:
[tex]A_2 = \frac{1}{2} l * w[/tex]
Substitute Area for l * w
[tex]A_2 = \frac{1}{2} *Area[/tex]
From the values of A1 and A2, we can conclude that (a) is true
how can i solve this
tan2x/(tan4x-tan2x)
Answer: = cos 4x
[tex]\frac{tan2x}{tan4x-tan2x}\\\\=\frac{tan2x}{\frac{2tan2x}{1-tan^{2}2x }-tan2x }\\\\=\frac{tan2x(1-tan^{2}2x) }{2tan2x-tan2x(1-tan^{2}2x) }\\\\=\frac{tan2x(1-tan^{2}2x) }{tan2x(2-1+tan^{2}2x) }\\\\=\frac{1-tan^{2}2x }{1+tan^{2}2x } \\\\=\frac{1-\frac{sin^{2}2x }{cos^{2}2x } }{1+\frac{sin^{2}2x }{cos^{2}2x } }\\\\=\frac{cos^{2}2x-sin^{2}2x }{cos^{2}2x+sin^{2}2x } \\\\=\frac{cos4x}{1}\\\\=cos4x[/tex]
Step-by-step explanation:
Calculate the percentage loss made on a boat valued at $50,000 and sold for
$44,000.
Answer:
22 percent is the loss ....
Parallelogram L M N O is shown. Diagonals are drawn from point M to point O and from point L to point N and intersect at point P. The length of L M is 22 centimeters and the length of M N is 18 centimeters. What is the perimeter of parallelogram LMNO?
Answer:
80 cm
Step-by-step explanation:
The perimeter of parallelogram LMNO
Is calculated using the formula
Perimeter = 2(a + b)
a = 18 cm
b = 22cm
Perimeter = 2(18 + 22)
= 2(40 cm)
= 80 cm
The perimeter of the parallelogram = 80 cm
Answer:
D. 80 cm
Step-by-step explanation:
Just took the quiz on Edg (2021)!!
Can someone help me? Right answer gets brainliest!!
Answer:
2/3*6 = 4 i hope this is the answer
Answer:
9 bracelets
Step-by-step explanation:
2/3 of a foot is 8 inches 6x12 is 72 and 72/8 is 9 so she can make 9 bracelets. please mark me brainlest
Question 8 (1 point) Find the percent increase or decrease: From 300 miles to 210 miles how much decrease was there?
Answer:
30% increase or decrease
Step-by-step explanation:
Because every mile is 3% and according to the question it is reduced 90 miles
(x +5) (x -2) h e l p m e
Answer:
x=10
Step-by-step explanation:
A bouquet of 6 roses costs $18.00. At this price, how many roses can you get for $12.00?
Answer:
four roses
Step-by-step explanation:
18÷6=3
12÷3=4
Answer:
you can get 4 roses
Step-by-step explanation:
18 divided by 6 roses = $3 per rose
$12 divided by $3 = 4 roses
Hope this helps
Joey wants to join the gym. The gym has a membership fee of $50 then $25 per month. How much will it cost Joey if he goes to the gym all year?
The sum of 4 1/2 and what number is 12 5/7? Show your work
Answer:
Conversion a mixed number 4 1/
2
to a improper fraction: 4 1/2 = 4 1/
2
= 4 · 2 + 1/
2
= 8 + 1/
2
= 9/
2
To find new numerator:
a) Multiply the whole number 4 by the denominator 2. Whole number 4 equally 4 * 2/
2
= 8/
2
b) Add the answer from previous step 8 to the numerator 1. New numerator is 8 + 1 = 9
c) Write a previous answer (new numerator 9) over the denominator 2.
Four and one half is nine halfs
Add: 9/
2
+ 12 = 9/
2
+ 12/
1
= 9/
2
+ 12 · 2/
1 · 2
= 9/
2
+ 24/
2
= 9 + 24/
2
= 33/
2
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(2, 1) = 2. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 1 = 2. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - nine halfs plus twelve = thirty-three halfs.
Add: the result of step No. 2 + 5/
7
= 33/
2
+ 5/
7
= 33 · 7/
2 · 7
+ 5 · 2/
7 · 2
= 231/
14
+ 10/
14
= 231 + 10/
14
= 241/
14
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(2, 7) = 14. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 7 = 14. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - thirty-three half's plus five sevenths = two hundred forty-one fourteenths.
Step-by-step explanation:
The sum of 4[tex]\frac{1}{2}[/tex] and 8[tex]\frac{3}{14}[/tex] is 12[tex]\frac{5}{7}[/tex].
What is addition?Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.
Let the required number be n.
According to the question,
the sum of 4[tex]\frac{1}{2}[/tex] and n is equal to 12[tex]\frac{5}{7}[/tex].
In numeric form,
4[tex]\frac{1}{2}[/tex] + n = 12[tex]\frac{5}{7}[/tex]
Simplifying,
9/2 + n = 89/7
Substituting constant to term one side,
n = 89/7 - 9/2
n = 115/14
n = 8[tex]\frac{3}{14}[/tex]
Therefore, the number is 8[tex]\frac{3}{14}[/tex].
To learn more about the addition;
brainly.com/question/29464370
#SPJ2
PLZ ANSWER FAST!!!!! Mr. Miller took a poll of which students in his class have gone to a water park. If 7/9 of his class have visited a water park for a total of 21 students, then how many total students are in Mr. Miller's class?
Answer:
29 students
Step-by-step explanation:
divide by 7 to get 1/9 then multiply by 9 to get total.
Answer:
27
Step-by-step explanation:
Let x be the total number of students. So, turning the words of the problem into an equation, we get:
7/9x = 21,
then, 7x = 189
so, x = 27.
At a candy store, Jordan bought 2 pounds of jelly beans and 3 pounds of gummy worms for $41. Meanwhile, Isabelle bought 2 pounds of jelly beans and 6 pounds of gummy worms for $68. How much does the candy cost?
Answer:
Cost of a pound of Jelly beans = x = $7
Cost of a pound of Gummy worms = y = $9
Step-by-step explanation:
Let us represent
Cost of a pound of Jelly beans = x
Cost of a pound of Gummy worms = y
At a candy store, Jordan bought 2 pounds of jelly beans and 3 pounds of gummy worms for $41.
2x + 3y = 41....... Equation 1
Meanwhile, Isabelle bought 2 pounds of jelly beans and 6 pounds of gummy worms for $68.
2x + 6y = 68...... Equation 2
Combining Equation 1 and 2 together
2x + 3y = 41....... Equation 1
2x + 6y = 68...... Equation 2
We Subtract Equation 1 from Equation 2, thereby eliminating x
3y = 27
y = 27/3
y = $9
Solving for x
2x + 3y = 41....... Equation 1
2x + 3(9) = 41
2x + 27 = 41
2x = 41 - 27
2x = 14
2x/2 = 14/2
x = $7
Therefore, the cost of each candy =
Cost of a pound of Jelly beans = x = $7
Cost of a pound of Gummy worms = y = $9
the picture is attached below :)
Answer:
Step-by-step explanation:
[tex]6^{2}[/tex]+[tex]3^{2}[/tex]= 45
QS=3[tex]\sqrt{5}[/tex]
16+45=61
NS=[tex]\sqrt{61}[/tex]
not sure why the answer provided starts with 6 but this should be correct
Colin always takes his laundry to the laundromat for cleaning. Today, he has 5 items for dry cleaning and 12 items for regular washing. If each item of dry cleaning weighs 3/4 pound, and each item of regular laundry weighs 5/16 pound, how much does all of Colin’s laundry weigh?
Answer: 7 1/2 pounds
Step-by-step explanation:
I need an answer quickly please and thank you
Answer:
75 !!
Step-by-step explanation:
you would add <2 and <3 (105), then subtract that from 180... since the highlighted spot (look at image) is congruent to 5 !! (because its alternate interior !!)
i hope this helped and made sense !
i need help asap i’ll give brainliest
Answer:
x=130 I believe
Step-by-step explanation:
28+8+14+x=180
50+x=180
x=130
I need to know the all the blanks including the equation on the bottom and y intercept and slopes
Answer:
See answers below
Step-by-step explanation:
Using the coordinates from the table (0, 12) and (1, 14)
m = 14-12/1-0
m = 2/0
m = 2
Hence the slope of the table is 2
y intercept occurs at x = 0
Substitute m = 2 and (0,12) into the equation y = mx+c
12 = 2(0) + b
12 = b
b = 12
Hence the y-intercept is 12
Get the equation
Recall that y = mx+c
y = 2x + 12
Hence the required equation is y = 2x+12
What is the slope in the equation:
y= 3/4x - 1
Answer: the slope is 3/4.
y=mx+b and m is always the slope.
Answer:
the slope is 3/4
Step-by-step explanation:
y = mx + b
y = slopex + y intercept
y = 3/4x - 1
slope = 3/4
y intercept = -1
Isiah earned 96 points on his math test this is 11 more points than the number of points he earned on his history test. Write and solve an addition equation to find the number of points isiah earned on his test
Answer:
96-11
Step-by-step explanation:
I am not sure how to make an addition equation? normally you would just subtract 11 to get the result of the history test because he got 11 less points then he did on his maths test which is 96!
I hope that helps
(0,8)
(-4,0)
Refer to the above red line. What is its equation in slope-intercept form?
y=1/2x+8
y=2x-4
y=2x+8
y=1/2x-4
What is the total cost of a $12.49 item with a sales tax of 5%?
Answer: $13.11
Step-by-step explanation:
hope this helps!
What is the asymptote of the graph shown?
y=
Answer:
to this question is it is 1.01
please help i don’t understand
Answer:
You have to fine the number that matches with the "X" so the answer would be 126 divided by 43 which is 2.9. 2.9 is closer to 3 than 2 so the "x" is 3
Step-by-step explanation:
Find the value of a and b. Тв 5 X 60 DI
Step-by-step explanation:
Head opposite angles.
b=60°
a=180-60=120°
(4,-5) (3,5)
slope =
What is the slope of this equation?
8. There are 9 girls and 6 boys in a classroom. Of
these students, 1 girl and 2 boys write left-handed.
What percentage of the students write left-
handed? (6.5B)
I
Answer:
20%
Step-by-step explanation:
9 Girls + 6 Boys = 15 Students.
15 = 100%
1 Girl + 2 Boys = 3 Students.
3 = ?%
(3×100)/15= 20%