option is c=2/3
2/3+ 1/7 = 17/21
Evaluate the expression x + 5 when x= 3, y=6 and z=12. A. 11 B. 17 C. 1 D. 8
Answer:
D, 8
Step-by-step explanation:
x=3
x + 5
(3) + 5
=8
BRAINEST IF YOU GET THSI RIGHT
[tex] \sf \dfrac{6x+4}{3} = \dfrac{5x-5}{8}[/tex]
By cross multiply, we get
[tex] \sf : \implies (6x+4) \times 8 = (5x-5) \times 3[/tex]
[tex] \sf : \implies 48x+32 = 15x-15[/tex]
[tex] \sf : \implies 48x+32 - 15x + 15= 0[/tex]
[tex] \sf : \implies 33x + 47 = 0[/tex]
[tex] \sf : \implies 33x = -47[/tex]
[tex] \sf : \implies x = \dfrac{- 47}{33}[/tex]
Therefore, answer is [tex] \sf x = \dfrac{- 47}{33}[/tex]
ANSWER:
x=-47/33
EXPLANATION:
[tex]\frac{6x+4}{3} =\frac{5x-5}{8} \\\\24(\frac{6x+4}{3} =\frac{5x-5}{8})\\\\48x+32=15x-15\\\\48x+32-32=15x-15-32\\\\48x-15x=-47+15x-15x\\\\33x=-47\\\\x=-\frac{47}{33}x[/tex]
how do you rewrite a expression using the base number only once?
ex. 5^(-2)*5^(-4)*5^(8)
Answer:
5
Step-by-step explanation:
Answer:
Rewrite the expression= 5^2
Step-by-step explanation:
With the same base number of 5, one adds the exponents.
In this case 5^-2*5^-4*5^8 8-6=2 as the exponent
*BRAINIEST & 20 POINTS*
what are the coordinates of the point on the directed line segment from (-8,8) to (7,-7) that partitions the segment into a ratio of 1 to 4?
Answer:
The coordinates are (-5,5)
Step-by-step explanation:
We use the internal division formula here
(x,y) = (nx1 + mx2)/m+ n , (ny1 + my2)/(m + n)
where m = 1
n = 4
(x1,y1) = (-8,8)
(x2,y2) = (7,-7)
Substituting these values, we have
(x,y) = (4(-8) + 1(7))/5 , (4(8)+ 1(-7)/5
(x,y) = (-25/5, 25/5)
(x,y) = (-5,5)
what is the positive value of x in the following expression?
[tex]2x ^{2} - 7x - 4[/tex]
Answer:
x = 4
Step-by-step explanation:
Given
2x² - 7x - 4
To solve for x , equate the expression to zero
2x² - 7x - 4 = 0 ← in standard form
(x - 4)(2x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - [tex]\frac{1}{2}[/tex]
Thus the positive value of x is x = 4
Answer:
x=4
Step-by-step explanation:
Hope this helped have an amazing day!
plz helpppp i dont understand
The answers to be dragged in red box are 30 units², 105.5 units² and 36.1 units² respectively and the answers to be dragged in orange box are 190 units³, 2170 units³ and 386.1 units³ respectively.
Step-by-step explanation:
The area of base of prism is literally the area of the base part of the prism. In this case, its a triangular prism so its base is a Triangle. You can find base area of 1st figure by using 1/2 ×perpendicular×base of right angled triangle whereas on 2nd and 3rd figure you can use 1/2 ×height×base of Triangle.
The volume of Prism is given by base area ×height of the prism, so you can easily find it.
Hope it was helpful and i apologize for my English because I am not a native speaker of English.
Solve the equation, showing each step of the solution.
-3x + 25 = 40
Answer:
x= -5
Step-by-step explanation:
-3x + 25 = 40
you want to put x terms on one side, numbers on another side
subtract 25 on both sides
-3x = 15
divide both sides by -3
x= -5
please hit the heart button :)
Answer:
well for me I think
Step-by-step explanation:
-3x=40-25
-3x=15
x=15/-3
x=-5
Is point (20,15) on line j?
Answer:
No the point (20,15) is not on line j.
witch expression is equal to |-12| -|-3|?
A -15
B -9
C 9
D 15
Answer:
C
Step-by-step explanation:
The absolute value function always gives a positive result, that is
| - a | = | a | = a
Given
| - 12 | - | - 3 |
= 12 - 3
= 9 → C
solve the quadratic by factoring
4x^2-10=4x-7
Answer:
x= -1/2 or x=3/2
Step-by-step explanation:
hope this helps
Bananas are 3/4 water. What percent of a banana is made up of water?
Answer:
75%
Step-by-step explanation:
3/4 in decimal form is 0.75
0.75 x 100% = 75%
Thus 75% of the banana is made up of water.
Straight leg jeans are 20% off at Kohls this week. How much will you pay for 4 pairs if the regular price is $59.99?
Find the slope useing points (-3,-2) and (1,4)
Answer:
1 1/2
Step-by-step explanation:
slope is gotten from the formula (Y2 - Y1)/(X2 - X1)
where Y2 = 4, Y1 = 2, X2 = 1, X1 = -2
hence slope is = (4-(-2)) / (1-(-3))
slope = 6/4
slope = 1 1/2
Answer:
The slope between the points
[tex]m=\frac{3}{2}[/tex]
Step-by-step explanation:
Given the points
(-3,-2)(1,4)Finding the slope between the points
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-3,\:-2\right),\:\left(x_2,\:y_2\right)=\left(1,\:4\right)[/tex]
[tex]m=\frac{4-\left(-2\right)}{1-\left(-3\right)}[/tex]
[tex]m=\frac{3}{2}[/tex]
Thus, the slope between the points
[tex]m=\frac{3}{2}[/tex]
The combined volume of all the tanks at an aquarium is 1.25×10^6 gallons. The aquarium plans to install a new dolphin yank with the volume of 250 gallons. What would be the total of all of the tanks at the aquarium after the new dolphin tank is installed?
Answer:
1,250,250 gallons
Step-by-step explanation:
1.25 * 10^6 gallons = 1,250,000 gallons
1,250,000 gallons + 250 gallons = 1,250,250 gallons
4 cm
6 cm
8cm. Find the
Circumference of the
snowman
Write a rule relating to the minutes, x, to the number of pages, y. Then find the number of pages when the minutes equal 72.
Answer:
y=3 1/3x
This is because x number of minutes times 3 and 1/3 is equal to y or the number of pages. Substitute the value of x to find the answer to the second question:
y= 3 1/3 * 72
Find the factors ???
Answer:
It's C (1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72)
Step-by-step explanation:
1 × 72 = 72
2 × 36 = 72
3 × 24 = 72
4 × 18 = 72
6 × 12 = 72
8 × 9 = 72
A van travelled at an average speed of 65km/hr from town A. A 35 minutes later a car started from town A ans drove along the same route as the van.If the car caught up with the van after travelling a distance of 130km find the avg speed of the car
Answer:
91.6 km/h
Step-by-step explanation:
Let v = average speed of van = 65 km/h and v' = average speed of car. Let t be the time the car starts to move. The van started 35 minutes earlier at t' = (t + 35/60) h.
Since distance d = vt where v = velocity and t = time, the distance moved by the van d = vt' = v(t + 35/60) and that moved by the car is d' = v't.
Since the car catches up with the van after it had moved a distance of 130 km, d = d' = 130 km.
So d = v(t + 0.583)
Substituting d = 130 km and v = 65 km/h, we have
130 km = 65 km/h(t + 0.583)
130 km = (65t + 37.895 )km
subtracting 37.895 from both sides, we have
130 km - 37.895 km = 65t
92.105 = 65t
dividing both sides by 65, we have
t = 92.105/65
= 1.417 h
≅ 1.42 h
Since d = d' = v't,
v' = d'/t
= 130 km/1.42 h
= 91.55 km/h
≅ 91.6 km/h
So, the average speed of the car is 91.6 km/h
Sierra's ice cream shop made $45 before she had to close early when the power went out. She realized she lost Two-thirds of a dollar each hour when the shop was closed. The expression that models this situation is 45 minus two-thirds h. What was Sierra's profit if the shop was closed for 6 hours? $24 $36 $41 $49
Answer:
the profit in the case when the shop is closed for 6 hours is $41
Step-by-step explanation:
The computation of the profit in the case when the shop is closed for 6 hours is shown below:
= Expression of the situation × number of hours in which the shop is closed
= 45 - 2 ÷ 3 × 6 hours
= $41
hence, the profit in the case when the shop is closed for 6 hours is $41
Therefore the third option is correct
Answer:
c
Step-by-step explanation:
How far is the train from its destination?
How long does the train travel when it finally reaches its destination? (Hint: when you reach your destination, that equals 0 miles? I need help
what is 0.8w+3.6 factored
Answer:
4(0.2w + 0.9)
Cassie needs at least $140 to buy a graphing calculator for math class. Currently she has $30 saved and her neighbor tells her she can babysit and earn $10 an hour. What is the minimum number of hours Cassie will need to babysit in order to have enough money to buy the calculator?
The equation needs to have a inequality not a equal sign. Please help
Answer: $30 + $10h > $140.
Step-by-step explanation: Currently Cassie has $30, so that is the fixed amount of money she has. She needs $140 dollars, so this will be on the left side of your inequality with a "greater than symbol". Cassie can earn $10 an hour, use the variable "h" to represent the number of hours she will work. Set your inequality like this:
$30 + $10h > $140.
The reason why we use a "greater than" sign (>) is that the amount of money Cassie earns needs to be greater than the price of the calculator to be able to buy it.
If someone could please answer this for me it’s 9th grade math 12 points:) asap pleaseee
natalie is baking cupcakes. Each cupcake needs ½ a cup of sugar. How many cupcakes can she make if she has 7 ⅓ cups of sugar?
Answer: 14 cupcakes
Step-by-step explanation:
sugar available is 7.33 cups, the 1/3 cup of sugar is no use due to the fact that you need 1/2 cup of sugar to make a single cupcake.
for Spanish readers: el azúcar disponible es de 7.33 tazas, el 1/3 de taza de azúcar es inútil debido al hecho de que necesitas 1/2 taza de azúcar para hacer un solo cupcake.
for French readers:
le sucre disponible est de 7,33 tasses, 1/3 de tasse de sucre n'est pas utile car vous avez besoin de 1/2 tasse de sucre pour faire un seul petit gâteau.
hopefully this helped! :D
Answer:
one cupcake= 1/2 cup of sugar
Total sugar availability: 7 and 1/3 or 7.33
Now go ahead and divide 7.33/.50
Notice that for every cup of sugar you can make exactly 2 cupcakes
Therefore you can make a total or 7*2=14 cupcakes
You are unable to utilize the rest of the 1/3 cup because you need 1/2 to make a singular cupcake
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In a basketball game the home team scores (2m + 39) points and the visiting team scores (3m + 40) points. Find the sum to represent the total points scored by the two teams m minutes past halftime.
Answer:
S = (5m+79)
Step-by-step explanation:
It is given that,
Scores won by home team = (2m + 39) points
Score won by visiting team = (3m + 40) points
We need to find the sum to represent the total points scored by the two teams m minutes past halftime.
It can be calculated by the sum of score by two teams. Let the sum is S.
S = (2m + 39) + (3m + 40)
S = 5m + 79
Hence, sum to represent the total points scored by the two teams m minutes past halftime is (5m+79)
A truck can be rented from Company A for $130 a day plus $0.20 per mile. Company B charges $50 a day plus $0.30 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answer:
800 miles
Step-by-step explanation
Step one
A truck can be rented from
Company A for $130 a day plus $0.20 per mile
Let the number of miles be x
And the total charges be y
y=130+0.2x—-------1
Company B charges $50 a day plus $0.30 per mile
y=50+0.3x--------2
Equate 1 and 2
130+0.2x=50+0.3x
130-50=0.3x-02x
80=0.1x
x=80/0.1
x=800 Miles
Find the y-intercept of y=6x - 7
Answer:
(0,-7)
Step-by-step explanation:
have a nice dayyyyyy
HELPPPP PLEASE ASAP!!!
please help, i will give BRAINLIEST. Write an expression in the simplest form to model the perimeter of the following triangle:
Answer: Original expression: 2x - 11 + 4x + 7 + 3(x-4)
Simplified: 9x - 16
Step-by-step explanation:
2x - 11 + 4x + 7 + 3(x-4) becomes 2x - 11 + 4x + 7 + 3x -12
Group like terms, then combine to simplify:
2x + 4x + 3x -11 + 7 - 12
2x + 4x + 3x = 9x
-11 -12 + 7 = =23+7= -16
Simplified expression: 9x - 16
Find the degree of the polynomial.
Answer:
The degree of the polynomial is x