Answer:
Step-by-step explanation:
(-9/4)x = 7/3
x = (7/3) · (-4/9) = -28/27
The sum of the digits of a two-digit number is 9. When the digits are reversed, the new number is 9 more than the original number. Find the original number. Check your answer.
a. 18
b. 27
c. 36
d. 45
9514 1404 393
Answer:
d. 45
Step-by-step explanation:
You can check the offered answers. You will find that the difference from reversing the digits will only be 9 if the digits differ by 9/9 = 1.
The original number is 45.
__
Check
45 + 9 = 54 . . . with the digits reversed
Solve the system of linear equations below, using substitution method.
8x+9y=368x+9y=36
3x+4y=163x+4y=16
Answer:
[tex]x = 0[/tex]
[tex]y=4[/tex]
Step-by-step explanation:
Given
[tex]8x + 9y = 36[/tex]
[tex]3x + 4y = 16[/tex]
Required
Solve using substitution method
Make x the subject in [tex]3x + 4y = 16[/tex]
[tex]3x = 16 - 4y[/tex]
Divide through by 3
[tex]x = \frac{1}{3}(16 - 4y)[/tex]
Substitute [tex]\frac{1}{3}(16 - 4y)[/tex] for x in [tex]8x + 9y = 36[/tex]
[tex]8*\frac{1}{3}(16 - 4y) + 9y = 36[/tex]
[tex]\frac{8}{3}(16 - 4y) + 9y = 36[/tex]
Open bracket
[tex]\frac{8}{3}*16 - \frac{8}{3}*4y + 9y = 36[/tex]
[tex]\frac{8*16}{3} - \frac{8*4y}{3} + 9y = 36[/tex]
Multiply through by 3
[tex]3 * \frac{8*16}{3} - 3 *\frac{8*4y}{3} +3* 9y = 36*3[/tex]
[tex]8*16 - 8*4y +3* 9y = 36*3[/tex]
[tex]128- 32y +27y = 108[/tex]
[tex]128-5y = 108[/tex]
Collect Like Terms
[tex]-5y = 108-128[/tex]
[tex]-5y = -20[/tex]
Make y the subject
[tex]y = \frac{-20}{-5}[/tex]
[tex]y=4[/tex]
Substitute 4 for y in [tex]x = \frac{1}{3}(16 - 4y)[/tex]
[tex]x = \frac{1}{3}(16 - 4*4)[/tex]
[tex]x = \frac{1}{3}(16 - 16)[/tex]
[tex]x = \frac{1}{3}(0)[/tex]
[tex]x = 0[/tex]
Solve for the variable x:
3x = 1/3
Answer:
x = 1/9
Step-by-step explanation:
how many inches would represent 315 miles
Answer: 19,958,400
Step-by-step explanation: Multiply the length value by 63360.
315 x 63,360 = 19,958,400
a light bulb consumes 6300 watt hours in 3 days and 12 hours. how many watt hours does it consume per day
Answer:
1800 watt hours
Step-by-step explanation:
6300 watt hours in 3 days and 12 hours
3 x 24 = 72 3 days worthof hours
72 + 12 = 84 total hours
6300/84 = 75 watt hours per hour
75 x 24 = 1800 watt hours per day
Phyllis invested 32000 dollars, a portion earing a simple interest rate of 5 percent per year and the rest earning a rate of 6 percent per year. After
one year the total interest earned on these investments was 1820 dollars. How much money did she invest at each rate?
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Answer:
$10,000 at 5%$22,000 at 6%Step-by-step explanation:
Let x represent the amount invested at 6%. Then 32000-x is the amount invested at 5%, and the total interest earned is ...
0.06x +0.05(32000 -x) = 1820
0.01x +1600 = 1820 . . . . simplify
0.01x = 220 . . . . . . . . . . subtract 1600
x = 22,000 . . . . . . . . . . . multiply by 100
32000 -x = 10,000
Phyllis invested $22,000 at 6% and $10,000 at 5%.
Please help me!!!!
Ernest bought some cans of paint and 4/5 of a liter of special paint additive formulated to reduce mildew. Before painting his house, he used all of the additive to put 2/5 of a liter of additive in each can. How many cans of paint did Ernest buy?
Answer:
He bought 2 cans of paint
Step-by-step explanation:
If he put ⅖ in each, and ⅘ total, he would have had 2 cans
Quantity of special paint additive Ernest bought = [tex] \tt \frac{4}{5} \: of \: a \: litre [/tex]
Quantity of additive he put in each can = [tex] \tt \frac{2}{5} \: of \: a \: litre [/tex]
Number of cans of paint he bought :
[tex] =\tt \frac{4}{5} \div \frac{2}{5} [/tex]
[tex] = \tt\frac{4}{5} \times \frac{5}{2} [/tex]
[tex] = \tt\frac{4 \times 5}{5 \times 2} [/tex]
[tex] =\tt \frac{20}{10} [/tex]
[tex]\color{plum} = \tt2 \: paint \: cans[/tex]
▪︎Therefore, Ernest bought 2 paint cans.
The ratio of soccer balls to volleyballs in the coach's bag is 10 to 6. If there are 20 soccers balls in the bag how many volleyballs are in the bad?
Answer:
12
Step-by-step explanation:
10 x 2 is 20
6 x 2 is 12
All changes saved
26. Set up a proportion and use it to solve for x.
60
x
36
Answer:
100
Step-by-step explanation:
5/6 (x+4)=15 PLZ HURRY!!!!
Answer:
The answer is x = 14
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Hoped this helped!
brainly, please?
Help pls don’t answer if you don’t know ill give you brainliest
Answer:
brainliest since i dont know
LOL
Step-by-step explanation:
a. How many 1/3s are in 2 2/3?
Answer:
1 2/3 = (1•3+2)/3 = 5/3. Therefore, 5/3 ÷ 1/3. = 5.
Step-by-step explanation:
So the answer is 5.
Given the equation: x + 8 = 32
True or False:
The equation can be solved using division.
Group of answer choices
True
False
Step-by-step explanation:
X+8=32
or,X =32÷8
or,X = 4,,
is y=5/7x+2,y=5/7x-30 parell or perpendicular
Answer:
is y=5/7x+2,y=5/7x-30 parell or perpendicular
It's parallel
PLEASE SOMEONE HELP THIS IS THE LAST ANSWER ON MY TEST BUT I DONT KNOW MATH GOOD???
Answer:
x = 7
Step-by-step explanation:
M
Plzzzz helpppp xjsjzkosozoxicicjcuf
Answer:
v=16
Step-by-step explanation:
Multiply 8 on both sides
8* v/8= 8*2
8*8 cancels out because you reduce the numbers with the greatest common factor which is 8*8 the GCF of 8*8 is 8.
Multiply 8*2 which is 16
v=16
Answer:
C: 16.
Step-by-step explanation:
8 x 2 = 16. Therfore C is correct
A math test has 60 possible points. If Melinda gets 52 points, what is the percent correct?
Answer:
86 %
Step-by-step explanation:
If Melinda got 52/60 points, we must divide 52 by 60, which is about 86.
Find the set AUB.
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
A={1, 2, 4, 6}
B = {3, 6, 5)
Step-by-step explanation:
solution,
given,
U={1,2,3,4,5,6,7,8,9,10}
A={1,2,4,6}
B={3,6,5}
now,
AUB={1,2,4,6}U{3,6,5}
={1,2,3,4,5,6,}
this is the answer and thanks for giving the opportunity to help you....... follow me...have a nice day ahead..
Use binomial theorem to expand (2+X)5 in ascending powers of x up to the terms containing x3 and Use your expansion to find (1.9)5
Answer:
Diet and behavior
These awe-inspiring giants tend to be solitary animals—with the exception of females and their cubs—but at times they do congregate. Dramatic gatherings of grizzly bears can be seen at prime Alaskan fishing spots when the salmon run upstream for summer spawning. In this season, dozens of bears may gather to feast on the fish, craving fats that will sustain them through the long winter ahead.
Brown bears dig dens for winter hibernation, often holing up in a suitable-looking hillside. Females give birth during this winter rest, often to twins.
Grizzly bears are powerful, top-of-the-food-chain predators, yet much of their diet consists of nuts, berries, fruit, leaves, and roots. Bears also eat other animals, from rodents to moose.
Despite their impressive size, grizzlies have been clocked running at 30 miles an hour. They can be dangerous to humans, particularly if surprised or if humans come between a mother and her cubs.
Habitat
Grizzlies once lived in much of western North America and even roamed the Great Plains. These animals need a lot of space—their home range can encompass up to 600 square miles—so their ideal habitat is one that is isolated from development and has plenty of food and places to dig their dens.
Though European settlement gradually eliminated the bears from much of their original habitat, grizzly populations can still be found in parts of Wyoming, Montana, Idaho, and Washington State. They’re one of the most iconic residents of Yellowstone National Park. Many grizzlies also still roam the wilds of Canada and Alaska, where hunters pursue them as big game trophies.
If a triangle has sides of 8, 8, and 6, then it is classified as an _____ triangle.
Answer:
right
Step-by-step explanation:
Answer:
Isoceles
Step-by-step explanation:
An isoceles triangle has 2 congruent sides.
Please help ASAP, marking brainliest if correct!
Answer:
option 4
Step-by-step explanation:
the total interior angle of a triangle adds up to 180º. you're given it's a right triangle (90º) and the angle B, 21º. Add those up and you get 111º. 180º-111º=69º, angle C.
Can you guys please help me with this
48
Step-by-step explanation:
NO NEED OF EXPLANATION
Answer:
the answer is 48
Subject A is traveling at a constant speed ahead of subject B. If B raises its speed by 4 times, it will catch up with A in 30 minutes. If B raises its speed by 5 times, it will catch up with A in 20 minutes. How many minutes it will take for B to catch up with A if B raises its speed 6 times?
Answer:
15 minutes
Step-by-step explanation:
If y = ab^x represents an exponential decay function, what are the possible values of b?
a b = 1
b b > 1
c b < 0
d 0 < b < 1
Answer:
d
Step-by-step explanation:
What is the median for the following set of numbers? 10, 13, 15, 12, 9, 12, 16
Answer:
12
Step-by-step explanation:
Arranging in ascending order -> 9, 10, 12, 12, 13, 15, 16
n = 7
Median = value of ((n + 1) / 2) th term
= value of (7+1) / 2 th term
= value of 4 th term
= 12
Hope it helps :)
trapezoid.mp4
Find the value of x and y.
Rek2
20
x
12
Y
x =
y =
9514 1404 393
Answer:
x = 12y = 20Step-by-step explanation:
The figure only makes sense as a kite, in which case left sides are equal and right sides are equal.
x = 12
y = 20
At a University, 72% of courses have a final exam, 46% of courses require a final paper, and 32% of courses have a final exam and require a final paper. What is the probability that a randomly selected course at this University requires a final exam or a final paper
Look at the picture attached
What is the leading coefficient of the polynomial F(x) defined below?
Answer: 2
Step-by-step explanation:
The leading coefficient is just the value before the variable with the highest power. So first we must find the portion in your polynomial that has the highest degree. The highest degree simply means the variable with the highest power. The highest power is two, so we will look at the coefficient of that portion. The coefficient of 2x^2 is 2 .
Find the third term of a proportional if the first, second and fourth terms are 24, 36, 126
Answer:
The third term of a proportional will be: 84
Step-by-step explanation:
We know that if a, b, c and d are in proportion, then:
[tex]\:\:a\:\times \:d\:=\:b\:\times \:c[/tex]
In our case, we are given the first, second, and fourth terms are [tex]24, 36, 126[/tex]
[tex]a = 24[/tex]
[tex]b = 36[/tex]
[tex]d = 126[/tex]
and we have to determine the third term 'c'.
as we know that if a, b, c, and d are in proportion, then:
[tex]\:\:a\:\times \:d\:=\:b\:\times \:c[/tex]
Thus,
substituting a = 24, b = 36, d = 126 to determine
[tex]24\:\times \:126\:=\:36\:\times \:c[/tex]
[tex]c=\frac{24\:\times \:\:126}{36}[/tex]
[tex]c=\frac{3024}{36}[/tex]
[tex]c = 84[/tex]
Thus, the third term of a proportional will be: 84
Plot the points from the Fahrenheit chart in question 4 onto the graph below. Use the plotted
points to sketch out the graph of F(t).
(0, 26.24)(12, 104) (24, 26.24)
Answer:
should be easy just plot the points
Step-by-step explanation:
we don't have the chart, though.
Answer:
Answer is attached :)
Step-by-step explanation: