Answer:
X = 97.45 - 42
Step-by-step explanation:
If 42 + X = 97.45, X needs to be 97.45 - 42
you can do the same thing with smaller numbers, for example:
5 + X = 7
7 - 5= 2 and you can check for sure that this is the answer by adding them together 5 + 2= 7 so it's definitely the right answer
so for this question, 97.45- 42 = 55.45 so that's X
you can check that by 55.45 + 42 and if the answer is 97.45 that's the right answer!
I hope that makes sense
Six years ago Matt was four times as old as Brown, and in 3 years the sum of their
ages will be 43 years. Find their present ages.
Answer:
Matt=26
Brown=11
Step-by-step explanation:
Just trust me!!!
The present age of Matt given the information in the question is 26.
The present age of Brown given the information in the question is 8.
What are the linear equations that represent the question?4y - 6 = x equation 1
x + y + 6 = 43 equation 2
Where:
x = Matt's agey = Brown's ageWhat is Brown's age?Subsistute for x in equation 2
4y - 6 + y + 3 = 43
Combine similar terms
5y = 40
y = 8
What is Matt's age?
Subsitute for y in equation 1
4(8) - 6 = x
32 - 6 = 26
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
PLLLSS HELP MMEE FAASSTT
In a triangle, two of the angles are 45 degrees and 70 degrees. What is the measure of
the third angle in this triangle? Explain how you got your answer.
*Use the term TRIANGLE SUM THEOREM in your explanation.
Answer:
65
Step-by-step explanation:
the sum of interior angles in a triangle equal to 180°
so 45+70=115
180-115=65
PLS HELP ASAP WILL MARK BRAINLY!!!. In a bag there are 3 red marbles, 2 yellow marbles and 1 blue marble. After a marble is selected, it is replaced. After 40 attempts at drawing two marbles from the bag, there were three instances where a blue marble then a yellow marble was pulled. What is the experimental probability of pulling a blue marble and then a yellow marble? 0.0556 0.0750 0.0167 0.0333
Answer:
0.0750 I took the test
The experimental probability of pulling a blue marble and then a yellow marble is 0.075 or 7.5%, which is closest to answer option B.
What is probability?Probability is a statistical term that describes the possibility that something will occur.
Since there is only one blue marble in the bag, the likelihood of getting a blue marble on the first draw is 1/6.
After the blue marble is replaced, the probability of drawing a yellow marble on the second draw is 2/6, since there are now 2 yellow marbles out of a total of 6 marbles in the bag.
The probability of sketching a blue marble and subsequently a yellow marble in the same attempt is:
P(blue then yellow) = P(blue) x P(yellow | blue)
P(blue then yellow) = (1/6) x (2/6)
P(blue then yellow) = 1/18
Since the marbles are replaced after each draw, the probability of drawing a blue marble and then a yellow marble is independent of one attempt to the next.
The experimental probability of pulling a blue marble and then a yellow marble in 40 attempts can be calculated by dividing the number of times it occurred by the total number of attempts:
Experimental probability = number of times blue then yellow was pulled / total number of attempts
Experimental probability = 3 / 40
Experimental probability = 0.075
Therefore, the experimental probability of pulling a blue marble and then a yellow marble is 0.075 or 7.5%.
Learn more about probability here:
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help please. (right now i’m just filling in for the 20 characters it’s not relevant to the question)
Answer:
9
Step-by-step explanation:
We're using the Pythagorean theorem here since it's a right triangle.
a^2 (side) + b^2 (side) = c^2 (hypotenuse)
12 = a
x = b
15 = c
12^2 + b^2 = 15^2
144 + b^2 = 225
- 144 - 144 (subtracting 144 from both sides to isolate b)
b^2 = 81
[tex]\sqrt{b^2} = \sqrt{81}[/tex] (getting rid of the exponent by squaring both sides)
b = 9
x = 9
frank currently rents an
apartment for $700 per month.
he is considering purchasing a
$125,000 condominium, he has
been approved for a 30-year
term mortgage with a 5.25%
interest rate use technology to
create a loan amortization
model.
what is frank's monthly
mortgage payment? what is the
total interest he will pay on the
loan? what is the total of all
loan payments he will make?
what is the difference between
Frank's monthly loan payment
and his monthly rent? match
the amount to the statement
9514 1404 393
Answer:
monthly payment $690.25total interest $123,490total repaid $248.490difference from rent $9.75Step-by-step explanation:
Frank's monthly payment will be $690.25.
The total of all payments will be $690.25 × 360 = $248,490.00.
The interest Frank will pay is $248,490 -125,000 = $123,490.00.
The difference between Frank's rent and his loan payment is ...
$700 -690.25 = $9.75
A cup of coffee cost $2.50. If the total cost is $22.50, then how many cups of coffee were purchased?
a. Write an equation
b. What is the constant of proportionality?
An equation is formed of two equal expressions. The constant of proportionality between the number of cups of coffee and the total bill amount is 2.50.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that a cup of coffee cost $2.50. Now, if the total cost of coffees is $22.50, then the number of cups of coffee that was purchased is,
Number of cups of coffee = Total bill amount / Cost of a coffee
Number of cups of coffee = $22.50 / $2..50
Number of cups of coffee = 9
A.) An equation for the total bill amount, y and total number of cups of coffee, x can be written as,
Total bill amount = Cost of a coffee × Number of cups of coffee
y = 2.50 × x
y = 2.50x
B.) The constant of proportionality between the number of cups of coffee and the total bill amount is 2.50.
Learn more about Equation here:
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pls help i dont know the answer to this
Answer:
4 1/12
Step-by-step explanation:
make all the denominators 12 so u can add them easier
2 1/12 + 2 4/12 + 3 2/12 = 7 7/12
nn subtract from the 11 2/3
11 8/12 - 7 7/12 = 4 1/12
2.5x + 11 = 50 can you give me the answer plz HELP
Answer:
X= 15.6
Step-by-step explanation:
Hope it was helpful ;)
Answer:
[tex]x = \frac{78}{5} [/tex]
Step-by-step explanation:
[tex]2.5x - 11 + 11= 50 - 11 \\ 2.5x = 39 \\ \frac{2.5x}{2.5} = \frac{39}{2.5} \\ x = \frac{78}{5} [/tex]
( a) Find the lateral area (in square meters) of the prism.
(b) Find the total area (in square meters) of the prism. (Round your answer to three decimal places.)
(c) Find the volume (in cubic meters) of the prism. (Round your answer to three decimal places.)
Answer:
( a) Find the lateral area (in square meters) of the prism.
answer:
the lateral area=perimeter of triangle ×height=
(4+5+6)×8=120m²
(b) Find the total area (in square meters) of the prism. (Round your answer to three decimal places.)
answer:
total surface area=lateral surface area +2crossed section area=120+2×(1/2×4×5) =120+20=140m²
(c) Find the volume (in cubic meters) of the prism. answer:
volume of prism=area of base×height=1/2×4×5×8=80m³
Please help this is due in 5 minutes. Choose one of the answer to respond to
Answer:
Option 2
Step-by-step explanation:
I agree with this statement. Biodiversity indicates the health of the ecosystem. Maintaining biodiversity can provide clean air, water, pollination of plants, pest control, food, and keep everything in balance. It can also reduce the impact of natural disasters! One example is a flood.
Answer:
Option 1
Step-by-step explanation:
I do agree with this statement because without matter, we wouldn't have anything. Matter is weight and anything physical.
Rewrite the expression by combining like terms.
3x^2 + y + 2y^2 + 4y^2
Answer:
3x^2 + 7y^2
Step-by-step explanation:
3x^2 + y + 2y^2 + 4y^2 = 3x^2 + 7y^2
A cylindrical soup can has a radius of 1.1 in. and is 5.4 in. tall. Find the volume of the can and round to the nearest tenths if necessary
Answer:
[tex]V=20.52\ in^3[/tex]
Step-by-step explanation:
Given that,
The radius and the height of the cylindrical soup can are 1.1 inch and 5.4 inch.
We need to find the volume of the can.
The formula for the volume of the can is given by :
[tex]V=\pi r^2 h\\\\V=\pi \times (1.1)^2 \times 5.4\\\\V=20.52\ in^3[/tex]
So, the volume of the can is equal to [tex]20.52\ in^3[/tex].
Kala received a $70 gift card for a coffee store. She used it in buying some coffee that cost $8.58 per pound. After buying the coffee, she had 18.52 left on her card. How many pounds of coffee did she buy?
–25(15 – 20d + 5c)
help please
Answer:
-375 + 500d - 125c
Step-by-step explanation:
Multiply everything by -25. Also keep in mind that 2 negatives make a positive. You can't simplify any further since each numbers have different variables.
Answer:
Step-by-step explanation:
-375 + 500d - 125c
Hope that helps! :)
prove that: tanA/2=(sinA/2+sinA)/1+cosA/2+cosA
please help
please
no links please
Answer:
proved
Step-by-step explanation:
hope this helps!!
Please help, brainliest for correct answer
Answer:
m<2=60
Step-by-step explanation:
52+68=120+60=180
Please help need it ASAP math 10 points.
What is the maximum value and at what point
9514 1404 393
Answer:
maximum z: 43point: (x, y) = (25/7, 9)Step-by-step explanation:
In the attached, we have graphed the inequalities and the objective function line. As we might surmise by looking at the constraints,* the maximum occurs at the intersection of y=9 and 7x-y = 16, where (x, y) = (25/7, 9).
The maximum value of z is 7(25/7) +2(9) = 25 +18 = 43.
__
The graph shows all inequalities reversed. This has the effect of making the solution space white, rather than buried under 4 levels of shading. As we expect with most "maximize" problems, the feasible region vertex farthest from the origin is the one of interest.
_____
* The only upper bound on y is y ≤ 9. The only upper bound on x is 7x-y≤16. When we're maximizing some objective function with positive coefficients on the variables, these will be the boundaries of interest.
pls help ! Find the value of x.
Answer:
x=48
Step-by-step explanation:
They are vertical angles.
Which equation can be used to solve for x in the following diagram?
150°
102
9514 1404 393
Answer:
C 10x = 150
Step-by-step explanation:
The marked angles are vertical angles, so are congruent. The appropriate equation is the one that shows they are equal to each other:
10x = 150
someone please help. this is the rest of my points. and it's worth 50% of my grade
Answer:
a=52
b=128
r=s=100
Step-by-step explanation:
help please ! solve for u and simplify the answer
Answer:
u = 5
Step-by-step explanation:
[tex]\frac{u + 7}{15} = \frac{4}{5}[/tex]
We want to solve for u. This means we need to isolate u on one side of the equation.
To do this, first multiply both sides by 15. This will cancel out the denominator on the left side.
[tex]u + 7 = (\frac{4}{5})(\frac{15}{1})[/tex]
Multiply the numerators and denominators separately.
4 • 15 = 60
5 • 1 = 5
[tex]u + 7 = \frac{60}{5}[/tex]
Simplify the fraction.
60 ÷ 5 = 12
u + 7 = 12
Subtract 7 from both sides.
u = 5
Check your work by plugging u = 5 back into the original equation.
[tex]\frac{5 + 7}{15} = \frac{4}{5}[/tex]
[tex]\frac{12}{15} = \frac{4}{5}[/tex]
[tex]0.8 = 0.8[/tex]
Your answer is correct.
Hope this helps!
Answer:
5 is your answer for u.
Step-by-step explanation:
Note the equal sign, what you do to one side of the equation, you do to the other.
First, multiply 15 and 5 to both sides of the equation (to get rid of the denominators):
[tex]15 * 5 * (\frac{u + 7}{15}) = (\frac{4}{5}) * 5 * 15\\5 * (u + 7) = 4 * 15[/tex]
First, distribute the 5 to all terms within the parenthesis. Also, simplify the right side by multiplying:
[tex]5 * (u + 7) = 4 * 15\\(5 * u) + (5 * 7) = (4 * 15)\\5u + 35 = 60[/tex]
Next, isolate the variable, u. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, subtract 35 from both sides, and then divide by 5 to isolate the variable, u:
[tex]5u + 35 = 60\\5u + 35 (-35) = 60 (-35)\\5u = 60 - 35\\5u = 25\\\\\\\frac{5u}{5} = \frac{25}{5} \\u = \frac{25}{5} = 5\\u = 5[/tex]
Solve: 1/3(−6q+4)=−1/12(4q+4)
Answer:
Combine multiplied terms into a single fraction
13(−6+4)=−112(4+4)
13(−6q+4)=−112(4q+4)\frac{1}{3}(-6q+4)=\frac{-1}{12}(4q+4)31(−6q+4)=12−1(4q+4)
1(−6+4)3=−112(4+4)
1(−6q+4)3=−112(4q+4)\frac{1(-6q+4)}{3}=\frac{-1}{12}(4q+4)31(−6q+4)=12−1(4q+4)
2
Multiply by 1
3
Combine multiplied terms into a single fraction
4
Distribute
5
Multiply all terms by the same value to eliminate fraction denominators
6
Cancel multiplied terms that are in the denominator
7
Distribute
8
Subtract
16
161616
from both sides of the equation
9
Simplify
10
Add
4
4q4q4q
to both sides of the equation
11
Simplify
12
Divide both sides of the equation by the same term
13
Simplify
Show less
Solution
=1
Step-by-step explanation:
Answer:
q=1
Step 1: Simplify both sides of the equation.
Step 2: Add 1/3q to both sides.
Step 3: Subtract 4/3 from both sides.
Step 4: Multiply both sides by 3/(-5).
What is the value of X in the equation. X- 4.3 = 2.5
Answer:
6.8
Step-by-step explanation:
4.3+2.5=6.8
6.8-4.3=2.5
Answer:
6.8 is x value to be put
ZABD and ZDBC are supplementary angles.
What is the measure of x?
x = [?]°
7D
AT
110%
Х
B
>C
Angles are not drawn to scale.
Enter
Answer:
x=70°
Step-by-step explanation:
x+110=180 linear pair
x=180-110=70
my sister is 14 years older than I. her current age is 43. if p represent my current age then set up a equation for my sister's age
Answer:
14+p= sister's current age
Step-by-step explanation:
If you are 14 years younger, then you add 14 to your current age to find her current age.
What is the missing length?
Answer:
DONT CLICK THE LINK ITS A VIRUS
Step-by-step explanation:
pleasee!! i rly need this one
Answer:
26.99
Step-by-step explanation:
Make x the subject of the formula
6(a – cx) = 24
Answer:
x = (a-4)/c
Step-by-step explanation:
1) Multiply 6 for a and -cx
6a - 6cx = 24
2) Add -6a at the two members
-6cx + 6a -6a = 24-6a
-6cx = 24 -6a
3) Multiply the two members by -1
6cx = 6a - 24
4) divide the two members by 6c (assuming that its values is not 0)
x = (6a-24)/6c
5) simplify the second member
x = [6(a-4)]/6c
x = (a-4)/c
Find the exact value of x. Do the side lengths form a Pythagorean triple?
Answer: Square root (52), No
Step-by-step explanation:
Answer:
Step-by-step explanation:
4^2 + 6^2 = x^2
sqrt 52 = x
x= 7.211
No, it is not a pythagorean triple because x is not a whole number.
