Answer:
k = - 12
Step-by-step explanation:
(5)³ - 7(5) + k = 78
125 - 35 + k = 78
k = - 12
If the product of two rational numbers is (-9/16) and one of them is (-4/15) find the other number.
Given:
The product of two numbers is (-9/16).One of the numbers is (-4/15)To find: The other number.
Answer:
Let's assume the unknown number to be 'x'.
(-4/15) × x = (-9/16)
× = (-9/16) ÷ (-4/15)
When we divide a fraction by another fraction, the divisor will be taken in its reciprocal form.
x = (-9/16) × (-15/4)
x = 135/64
Therefore, the other number is 135/64.
Hope it helps. :)
The mean age of 3 women in an office is 30 years old.
The mean age of 7 men in an office is 33 years old.
What is the mean age (nearest year) of all the people in the office?
Answer:
32 years
Step-by-step explanation:
Here, we simply calculate the age of all first
For all men, we have 7(33) = 231
For all women = 3(30) = 90
So we simply have;
(90 + 231)/10 = 32.1
Approximately 32 years
A student scored 120 marks out of 200.
Write her marks scored as a fraction in lowest terms.
fifteen subtracted from the product of a number and -4 is at most 32
Answer:
Step-by-step explanation:
Let's use the variable x to represent the unknown number.
Also, the word, "product", indicates multiplication.
In this problem, the product of a number and -4 would be represented as -4 x
The words, "is at most", would be represented as: <
Then to create the inequality, subtract 15:
-4 x - 15 < 32
Now solve the inequality using inverse operations. NOTE - Be sure to reverse the direction of the inequality symbol when multiplying or dividing by a negative number.
4 x - 15 < 32
-4 x - 15 + 15 < 32 + 15
-4 x < 47
-4 x / -4 > 47/-4
x > -47/4
x > -11.75
Hope this helped!
Abe has some nickels and some pennies. If the pennies were nickels and the nickels were pennies, he would have 80 cents less than he has now. The difference between the number of nickels and the number of pennies that he has
A) Is 12
B) Is 20
C) Is 24
D) Is 28
E) Cannot be Determined
Answer:
B) Is 20
Step-by-step explanation:
Let X represent the number of pennies.
Let Y represent the number of nickels.
We know that X + 5Y = (Y + 5X) + 80.
4Y = 4X + 80
Y = X + 20
Hence, the difference between the number of pennies and the number of nickels is 20.
(I decided to answer this genius question just like how I have stated before XD)
3/4 divided by 5 1/5 =
3/7 divided by 2 1/2 =
5/8 divided by 6 5/6 =
8 3/10 divided by 5/8 =
7 2/9 divided by 8 3/9 =
SOMEONE HELP ME PLS
Answer:
the first one
Step-by-step explanation:
The ratio of money in Terry's bank account to Faye's bank account was 3:5.
Terry then put £220 in his account and Faye withdrew £300 from her account.
They now had the same amount in their accounts.
How much did Terry initially have?
Answer:
They initially had £1250 altogether.
Explanation:
Given : The ratio of money in Terry's bank account to Faye's bank account was 3:7.
Let the money in terry's bank account be 3x and the money in Faye's account be 7x.
if Terry put £220 in his account and Faye withdrew £300 from her account.
Money in Terry's account = 3x+200
Money in Faye's account = 7x -300
They now had the same amount in their accounts.
Now Initially ,
Amount in Terry's account = 3x= 3(125) = £ 375
Amount in Faye's account = 7x =7 (125)= £ 875
Combined amount = £ 375 + £ 875 = £1250
Hence, they initially had £1250 altogether.
# Learn more :
If the ratio of diameters of two sphere is 3:7 find the ratio of their volume, find the ratio of their surface area
Step-by-step explanation:
The sum of 3 consecutive numbers is 21. write and solve an equation that represents this situation. show your work
Answer:
kqssshhskshks
Step-by-step explanation:
hxashbxjmbjzmjxbjsb
an olympic team won 20 medals. if 70% of the medals were gold, how many gold medals did they win?
Answer:
14
Step-by-step explanation:
20 times 7/10= 14
Answer:
14
Step-by-step explanation:
first change 70% to a decimal it is 0.70 then multiply 0.70 times 20 and you get 14
Write the equation of the line that passes through the points (-2,-5) and (8, -8).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
y=-3/5x-16/5
Step-by-step explanation:
(-2,-2). When x of the line is -2, y of the line must be -2.
(8,-8). When x of the line is 8, y of the line must be -8.
Are these fractions equivalent or nonequivalent?
2s/3t 4s/6t
Answer:
Equivalent
Step-by-step explanation:
2/3 times 2=4/6
4/6 divided by 2=2/3
(hope this helps :P)
Help Please. I’ll mark brainliest !!!
Answer:
125?????
Step-by-step explanation:
Answer:
125
Step-by-step explanation:
Its 125 because that is a right triangle therefor all the sides are the same.
what does 40+19 equal?
Answer:
59
Step-by-step explanation:
it's my lucky number btw =w=
Devon invests $9,000 in a savings account that pays 1.5% simple interest. How much will be in the account after 6 years if Devon makes no withdrawals or deposits to the account?
What is the slope of the line shown?
Answer:
-2
Step-by-step explanation:
down 4 over 2 meaning it's negative; simplify
what do you do to solve a problem that has just a negative in front of the parentheses?
Donovan wanted to measure the height of his town's
courthouse. He measured the length of the building's
shadow on the ground. It reached 60 feet from the
courthouse. His eyes are 6 feet above the ground and he
stood exactly 5 feet from the end of the shadow. Using
similar triangles, find the height of the courthouse.
The diameter of a circle is 6 yards. What is the circle's circumference?
Step-by-step explanation:
formula for circumference of the cricle = 2πr
π = 3.14
r= radius of the circle
diameter of the circle = 6
radius of the circle = d/2 = 6/2= 3
circumference = 2πr
= 2×3.14×3
= 18.84
circumference of the given circle is 18.84 yards.
Which of the following expressions are equivalent to 1/-7 • -6/5
Determine whether each statement is true or false, HELP
Daniela works as a private chef in the city and is paid $30 per hour. She kept a record of her weekly tips: $200, $190, $330, and $250. If she works 40 hours per week, what is her average weekly earnings?
Answer:
2170
Step-by-step explanation:
200 + 190 + 330 + 250 = 970
30 x 40 = 1200
1200 + 970 = 2170
7 + r = -5 solve for r
Answer:
r=negative12
Step-by-step explanation:
Answer:
r=-12
Step-by-step explanation:
subtract 7 from both sides of the equation to get r alone. Then, combine like terms.
The points (6, g) and (5, 5) fall on a line with a slope of 3. What is the value of g?
Answer:
g=8
Step-by-step explanation:
First, let's find the equation of the line.
Using point-slope form, which is y-y1=m(x-x1)
we can substitute the given slope (3) and the point (5,5) into the equation
y-5=3(x-5)
do distributive property
y-5=3x-15
add 5 to both sides
y=3x-10
the equation of the line is y=3x-10
since the point (6,g) will fall on the line, we can put it into the equation to find y
y=3(6)-10
y=18-10
y=8
y, or g=8
hope this helps!
If GEOM is a square, find m∠GQE.
Answer:
i think it is 180
Step-by-step explanation:
because 180 is the total degrees of a triangle
The measure of the angle ∠GQE will be 90°. Then the correct option is C.
What is the quadrilateral?The definition of a quadrilateral is a planar form with four sides, four vertices, and four angles. Concave and convex are the two primary kinds.
If all the sides of the quadrilateral are identical, then the quadrilateral will be a square.
In the square, each angle will be a right angle. And the diagonals of the square intersect at a right angle.
Thus, the measure of the angle ∠GQE will be 90°. Then the correct option is C.
More about the quadrilateral link is given below.
https://brainly.com/question/29934291
#SPJ3
18= 3 | 4x − 10 |
please help
Answer:
19
Step-by-step explanation:
multiply then add
A persons weekly pay directly proportional to the number of hours worked on Spee is $123.00 for 20 hours of work. Find amount of pay for 31 hours of work.
Answer:
$190.65
Step-by-step explanation:
123.00/20=6.15 per hour
6.15x31hours worked = $190.65
a father is 25 years older than his son the sum of their ages is 53 find their ages
Patty has $75. Latisha has L dollars. Patty has $20
more than 3 times the amount of money that Latisha
has. Which equation represents the situation?
Answer:
5
Step-by-step explanation:
5 + 20 = 25
25 x 3 = 75
Hope this helps!
Help me out pleaseeee
Answer:
2/3
Step-by-step explanation:
Slope= Rise over run= rise/run= Change in y/Change in x, so:
You have to go up 2, and over 3.
2/3