Step-by-step explanation:
When we say sum we are referring to addition.
And a number and a variable(letter) can't be added. So the sum of 8 and t can't be added.
The sum of 8 and t is;
8+t
When we talk about product or finding the product of a number we are referring to the number we get after multiplying two or more numbers.
And note that with multiplication, a number and a variable(letter) can be multiplied.
The product of 5 and b is;
5×b=5b
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]
Find the degree of the polynomial.
Answer:
The degree of the polynomial is x
If someone could please answer this for me it’s 9th grade math 12 points:) asap pleaseee
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?
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
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:
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
Is point (20,15) on line j?
Answer:
No the point (20,15) is not on line j.
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.
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
4 cm
6 cm
8cm. Find the
Circumference of the
snowman
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
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
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.
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
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)
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
I need the answer in it’s simplest form
3/4 changed to 6/8 makes it a 7/8 when adding making this most simplified into 7/8
HELPPPP PLEASE ASAP!!!
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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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.
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
*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)
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 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]
Find the y-intercept of y=6x - 7
Answer:
(0,-7)
Step-by-step explanation:
have a nice dayyyyyy
what is 0.8w+3.6 factored
Answer:
4(0.2w + 0.9)
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
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 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!