Answer:
5 years
Step-by-step explanation:
Let x be the unknown numer of years ago when the product of the man and his child's age was 96.
》 x years ago, the man's age = 37 - x
the child's age = 8 - x
(37 - x)(8 - x) = 96
296 - 37x - 8x + x² = 96
x² - 45x - 296 - 96 = 0
x² - 45x - 200 = 0
x² - 5x - 40x - 200 = 0
x(x - 5) -40(x - 5) = 0
(x - 5)(x - 40) = 0
x = 5 years ago or x = 40 years ago
but x = 40 > son's present age.
Thus, x = 5.
Therefore, 5 years ago the product of the ages of the man and his child was 96.
Malcom has $638.54 in his checking account. He must maintain a $500 balance to avoid a fee. He wrote a check for 159.50 today. Write an inequality that would be used to solve for the LEAST amount of money he needed to deposit to avoid a fee.
(9th grade Algebra 1)
The inequality that would be used to solve for the LEAST amount of money he needed to deposit to avoid a fee is 638.54 - 159.50 + x ≥ $500
The given parameters:
initial amount of money in Malcom's account = $638.54
a constant balance to be maintained to avoid a fee = $500
amount to be withdrawn today = $159.50
To find:
inequality that would be used to solve for the LEAST amount of money he needed to deposit to avoid a feeLet the LEAST amount = x
Here are basic things to note in order to form the equation:
The money going into the account must be addedThe amount to be withdrawn will be subtracted Finally, the total amount must be greater or equal to $500Considering the above explanation, the inequality becomes;
638.54 + x - 159.50 ≥ $500
Rearrange to match the given options;
638.54 - 159.50 + x ≥ $500
Thus, the inequality that would be used to solve for the LEAST amount of money he needed to deposit to avoid a fee is 638.54 - 159.50 + x ≥ $500
Learn more here: https://brainly.com/question/22208743
evaluate the expression
Answer:
-213
Step-by-step explanation:
Hi there!
[tex]3|x+y|^2-(xy)^2[/tex]
Replace x with 3 and y with -5
[tex]= 3|3+(-5)|^2-[(3)(-5)]^2\\= 3|3-5|^2-(-15)^2\\= 3(2)^2-225\\= 3(4)-225\\= 12-225\\= -213[/tex]
I hope this helps!
27. In the figure, AFJD, BGFE, CHGA, DIHB and EJIC are straight lines.
Find a + b + C + d + e.
{ALGEBRA} What’s the domain and range of these graphs?
I’m struggling on this one pls help
Answer:
1:2
Step-by-step explanation:
11 triangles : 22 hearts
= 1:2
Ms. Johnson bought an area rug for her den. The perimeter is 30 feet. The width of the rug is
2yards What is the area of Ms. Johnson's rug in square feet and square yards?
in both feet and yards.
Answer:
6 sq yards, 54 sq feet
Step-by-step explanation:
30/3 = 10, 10 - 4 = 6, 6/2 = 3, 3 * 2 = 6
30/3 since we are calculating yards(3 ft = 1 yard), 10 -4 since 2 sides have the width of 2 yards. 6/2 since there is two sides left.
Basically the same thing for sq feet.
I just need help with #16 … can someone please help me
Answer: it goes up like 10,20,30,40
Step-by-step explanation:
anyone know this question: 16) -8(-21 - 2) - 6
Answer:178
Step-by-step explanation:
distribute, multiply -8 with - 21 and -2 . that would get you 168 + 16 - 6. add the 168 and 16, it equals 184, then subtracts it with a 6.
researcher investigated whether the type of distraction (text message, app notification, no distraction) during a brief lecture influenced memory. The experiment was conducted with college students aged 18-23. Identify the independent variable(s).
Answer:
The independent variables are the students.
Step-by-step explanation:
It is the students because nothing else is independent, everything else is either dependent or not important to the question.
7k -2(3k + 1) - 9
Y’all I need help.
Answer:
k - 11
Step-by-step explanation:
7k - 2(3k +1) - 9
So first we start by multiplying out the brackets. Multiply 2 by 3k and 1 then it becomes:
7k - 6k + 2 - 9
Then collect like terms subtract 6k from 7k and 9 from 2:
k - 11
HOPE THIS HELPED
Question 13 of 23
If f(x) = 3x - 15, what is f(4)?
A. 3
O B. -8
O C. 12
O D. -3
Answer:
f(4) = 3×4 - 15
f(4) = 12-15 = -3
Answer : D. -3
...........
Answer:
D.-3
Step-by-step explanation:
f(4)=3•4-15
=12-15
=-3
( show your work ) Find the total cost of 6 puppies if each pull-ups coast $250
Answer: $1500
Step-by-step explanation:
Given information
Number of puppies = 6
Cost of each puppy = $250
Given expression deducted from the question
Total cost = number of puppies × cost of each
Substitute values into the expression
Total cost = 6 × 250
Simplify by multiplication
Total cost = [tex]\boxed{1500}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
please help me solve this
(3/4)^2+1/8+1/4•3/2= ?
Answer:
This was a little tricky but the answer is 2 7/16
Step-by-step explanation:
15
16
+
3
2
=
15
16
+
3 × 8
2 × 8
=
15
16
+
24
16
=
15 + 24
16
=
39
16
=
2 7/16
Identify the rule for the following pattern: 4, 24, 144...
Answer:
Multiply By 6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
The common ratio is 6 ie dividing the second term by the first term or the third term by the second term ie
24 ÷ 4 = 6
144 ÷ 24 = 6
And so on....
Marta Collected 363 cans die go collected 295 cans how many cans marta And diego Collect
Answer:
658
Step-by-step explanation:
(b+a)^2 ÷4 ; use a=-2, and b=4
Answer:
1
Step-by-step explanation:
(b + a)² ÷ 4 when a = -2 and b = 4
~Substitute
(4 + (-2))² ÷ 4
~Simplify
2² ÷ 4
4 ÷ 4
1
Best of Luck!
Answer:
1
Step-by-step explanation:
it is above in the photo.
0.582 times 10 what is value of the 2
Answer:
5.82
Step-by-step explanation:
0.582 x 10
=> Shift the decimal place by 1
=> 5.82
The required simplified value of the product is 5.82 and the value of 2 in the expression is 0.01 times.
To determine the value of 2 in the product of 0.582 times 10.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
According to the question,
Product = 10 * 0.582
Product = 5.82,
Where 2 is located at the thousandth place,
So, the value of 2 in 5.82 is 0.01 times of 2.
Thus, the required simplified value of the product is 5.82 and the value of 2 in the expression is 0.01 times.
Learn more about simplification here: https://brainly.com/question/12501526
#SPJ2
Parallel lines j and k are cut by transvesal t . Which statement is true about ∠2 and ∠6
Answer:
angle 1 and angle 7 are alternate exterior angles.
angle 1 and angle 5 are corresponding angles.
angle 3 and angle 8 are same side interior angles.
angle 2 and angle 8 are alternate interior angles.
Step-by-step explanation:
HELP ME PLEASE:((
Question 1 of 10
Which of the following is most likely the next step in the series?
Answer: it should be A
Step-by-step explanation: just follow the pattern
Find the measure of the angle indicated in bold (7x + 10)
Also can you explain how you got the answer
Answer:
80°
Step-by-step explanation:
8x = 7x + 10
They are alternate(different sides of the intersecting or transversal line) interior(inside the two parallel lines)angles
alternate interior angles
8x = 7x + 10
x = 10
7(10) + 10 = 80
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Writing equations in standard form:
Hi I need help with writing equations in standard form using points. The points are (4,5) and (-3,-1) I already found the slope which is 6/7 but I don’t know how to do the point slope form. This is the slope form if you don’t know:
Y-y1=m(x-x1)
what is 2/3 to the -3 power
Answer:
[tex]\frac{27}{8}[/tex]
Step-by-step explanation:
2/3 to the 3rd power ([tex]\frac{2}{3} *\frac{2}{3}* \frac{2}{3}[/tex]) is [tex]\frac{8}{27}[/tex]
Since the power is negative, just use the reciprocal (flip the fraction)
I hope this helps!
pls ❤ and mark brainliest pls!
Answer:
[tex]\frac{27}{8}[/tex]
Step-by-step explanation:
[tex](\frac{2}{3})^3=\frac{8}{27}[/tex]
[tex]\frac{1}{\frac{8}{27} } =\frac{27}{8}[/tex]
Need help on this hm THE MIDDLE ONE
Answer:
{0, 1, -1}
Step-by-step explanation:
2x - 6 = 3x + 1 - x - 7
2x - 6 = 2x - 6
0 gives you -6 = -6
1 gives you -4 = -4
-1 gives you -8 = -8
I need help I will give brainiest if correct plz solve all of these two questions
Answer:
1. You should mix 5 cups of yellow paint with 1 cup of blue paint. The table shows that the ratio is 1:5 (blue:yellow) so 1 cup of blue paint means you need 5 cups of yellow paint.
2. Using the same ratio (1:5), you can multiply both numbers by any number and get the same shade of green.
5 cups of blue paint will need 25 cups of yellow paint.
(1 x 5 = 5 : 5 x 5 = 25)
Step-by-step explanation:
I will crown you! And extra points! Just need some help on this question.
Answer:
∠LMP = 77
∠NMP = 103
Step-by-step explanation:
to find the measure of ∠LMP and ∠NMP
we know that ∠LMN is a straight line so that will be 180 degrees
so you can say that
∠LMP + ∠NMP = 180
(-16x +13) + (-20x +23) = 180
-16x +13 -20x + 23 = 180
-36x + 36 = 180
-36x = 180-36
-36x = 144
x = 144/-36
x = -4
∠LMP = (-16x +13)
= ( -16 (-4) + 13)
= ( 64 + 13)
= 77
∠LMP = 77
∠NMP = (-20x +23)
= (-20 (-4) + 23)
= 80 + 23
= 103
∠NMP = 103
HOW MANY DEGREES IN A SUPPLEMENTARY ANGLE???
Answer:
180 degrees
Step-by-step explanation:
y = 2/3 -5 GRAPHED
I WILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
Hope this helps
I just need help with #15 … can someone please help me
Answer:
450
Udjdjdjdndkdkdkdjejeud
Will award Brainliest!
Answer:
RPO = 30
STO = 20
POR = 130
Step-by-step explanation:
TOS Obtuse because its larger than 90 = 130 degree
Answer:
A
Step-by-step explanation:
Becausd angle TPR is ninety degrees which is 90degrees
a bank account balance for an account with an initial deposit of p dollars earns interest at an annual rate of r . the amount of money in the account after n years is described using the following expression p (1+r)n what effect if any does decreasing the value of r have on the amount of money after n years?
Answer:
Step-by-step explanation:
For the same exponent n and 1 < a < b we have
[tex]a^n < b^n[/tex]
Now if we decrease the r the value then 1 + r will also decrease.
If follows that the amount of money after n years will also decrease.