Answer:
10
Step-by-step explanation:
If Sabrina is 5 & Michael is 7. (5×7=35)
Michael is 7, & he is 3 yrs younger than Meghan, who is 10. And Meghan is twice as old as Sabrina, when Sabrina is 5 (5×2=10).
Answer:
Meghan is 10 years old
Step-by-step explanation:
We can write out the information with equations and then combine the information. Then, we can solve for x and hence solve for Meghan's age.
We write our first variable, x. Meghan (m) is twice as old as Sabrina (x). So we write:
m = 2x
Michael (M) is 3 years younger than Meghan. So we write:
M = m - 3
The product (multiplication) of Sabrina's and Michael's age is 35. So we write:
Mx = 35
To solve for x, we can substitute Meghan's age (2x) into the equation for Michael.
M = 2x - 3
Then, we can substitute this for M in the final equation to solve for x. This will be a quadratic so we factorise to solve it:
x(2x - 3) = 35
2x² - 3x = 35
2x² - 3x -35 = 0
(2x - 7)(x - 5) = 0
x = ⁷⁄₂ or 5
we know it is 5 since ⁷⁄₂ does not work and it is not a whole number. Hence:
m = 2(5)
m = 10
The bottom of a ladder leaning against a wall is 1.5 m from the bottom of the wall. The ladder is 5.5 m long. Find how high the top of the ladder is above the ground, correct to one decimal place.
A. 5.8 m
B. 5.7 m
C. 5.2 m
D. 5.3 m
Answer: D. 5.3 m
Step-by-step explanation:
The ladder leaning against the wall causes it to forma right angle.
The right angle has two sides , which is the two legs, and the hypotenuse.
Using the formula a^2 + b^2 = c^2 , a and b are the two legs and c is the hypotenuse. In this case, a will be the wall, b will be 1.5 m and the ladder which is 5.5 m will be the hypotenuse.
Input the values for a and c to sole for b using the formula.
1.5^2 + b^2 = 5.5^2
2.25 + b^2 = 30.25
-2.25 -2.25
b^2 = 28
b = [tex]\sqrt{28}[/tex]
b = 5.2915 rounded to one decimal place is the same as rounding it to the nearest tenth, and 5.29 rounded to the nearest tenth is 5.3.
Height of top of ladder above the ground that is resting on the wall, correct to one decimal place is 5.3 m
hence option D is correct.
According to Pythagoras theorem
In a right triangle
[tex]\rm H^2 = P^2 + B^2[/tex]
[tex]\rm P = \sqrt {H^2 - B^2 }.........(1)\\where \\H = Hypotenuse \; of \; right\; triangle\\B = Base\; of \; the \; right\; triangle \\P = Perpendicular \; of \; the\; right\; triangle[/tex]
In the given situation the the ladder forms the right triangle with the wall
Length of the ladder = 5.5 m
Length of the base of ladder from the wall = 1.5 m
Let K be the height of top of ladder above the ground that is resting on the wall.
Hence from equation (1) we can write
[tex]\rm K = \sqrt{5.5^2 - 1.5^2} = \sqrt{28} = 5.291 \approx \bold{5.3}[/tex] m
Height of top of ladder above the ground that is resting on the wall, correct to one decimal place is 5.3 m
hence option D is correct.
For more information please refer to the link given below
https://brainly.com/question/16426393
What is sin45°*sin30°*cos60°
Answer:
[tex]\frac{\sqrt{2} }{8}[/tex]
Step-by-step explanation:
Using the exact values of the given trig functions, then
sin45° × sin30° × cos60°
= [tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = [tex]\frac{\sqrt{2} }{8}[/tex]
What equations are equal to 3x-12=24
Find the greatest common factor (GCF) for each number set. 56,63
1. 1
2. 6
3. 7
Evaluate each function at the given value
f(n) = n ^ 4 + 5n ^ 3 + 2n ^ 2 - 5n + 13 at n = - 2
Answer:
7Step-by-step explanation:
Givenf(n) = n ^ 4 + 5n ^ 3 + 2n ^ 2 - 5n + 13To find f(-2)SolutionSubstituting n with -2
f(-2) = (-2)^4 + 5(-2)^3 + 2(-2)^2 - 5(-2) + 13 =16 - 40 + 8 + 10 + 13 = 7Evaluate 9/m + 4 when m = 3
Answer:
Step-by-step explanation:
9/3 = 3
3+4 = 7
The answer is 7!
Answer:
7
Step-by-step explanation:
First, plug in m.
9/3+4
Because this equation has multiple operations, we need to use the order of operations, aka PEMDAS. It stands for Parentheses, Exponents, Multiplication/Division, and Addition/Subtraction. First in the order of operations that we have in this equation is multiplication/division. So, we need to divide 9/3 before adding.
9/3=3
The equation is now simplified to 3+4, which is 7.
Hope this helps! Have a great day :D
If the production rate is 1,325 cookies per hour at a bakery, how many cookies will be produced in an 8 hour shift?
Answer:
10,600 cookies will be made in 8 hours
Step-by-step explanation:
1325 × 8 = 10,600
Write the word sentence as an equation. Then solve. The sum of a number y and −3 is −8.
need asap
Answer:
y + (-3) = -8
Step-by-step explanation:
i just know
pls mark branliest
(05.01)
The graph of a system of equations with the same slope and the same y-intercepts will
have no solutions. (1 point)
O Always
Sometimes
O Never
Help ASAP
Answer:
Always
Step-by-step explanation:
Answer:
never.
Step-by-step explanation:
what is the opposite of -(-15)
Answer:
-15
Step-by-step explanation:
Answer:
-15
Step-by-step explanation:
Its a positive in the first place bc of the two negatives beside each other so the opposite would be -15
solve the equation
pls help
What is the slope of the line in the graph?
Answer:
1/2
Step-by-step explanation:
went up one across two. rise over run y over x
Answer:
1/2
Step-by-step explanation:
What is the equation of the line that passes through the point(6,4) and has a slope of -2/3
Answer:
y=-2/3x+8
Step-by-step explanation:
first, find the y intercept, or b.
write your equation so far: y = -2/3x + b
Now substitute in your given point (6,4)
so now we got: 4 = -2/3(6) + b
which gives you: 4 = -4 + b
Now, we find b.
4 = -4 + b
+4 +4 < isolating b...
8 = b
now put it back in..
y=-2/3x+b
hope this helped luv <3
Joseph recently noticed that this time next year he will be twice as old as Jasmine. I couldn't help noticing that when I am 66 at this time of the year the combined future ages of Joseph and Jasmine will also be 66. Also, 6 years from now my future age will be a multiple of the sum of Joseph and Jasmine's future ages. Of course, all ages are non-negative integers. How old. are Joseph Jasmine, and I now?
1. Which of the following lines is parallel to the line y = -3/2x +1 and contains the point (4,2)?
Answer:
The answer should be y = -[tex]\frac{3}{2}[/tex][tex]x[/tex] + 8, but its not one of the answers, so check the question again.
Step-by-step explanation:
If the second line is parallel, then the gradient will be the same:
y = -[tex]\frac{3}{2}[/tex][tex]x[/tex] + c
Find what c is (y-intercept) by inputting the given point into the equation (4,2):
2 = (-[tex]\frac{3}{2}[/tex] x 4) + c
2 = -6 + c
c = 8
19. The marked price of a certain handbag is $400. After two successive
sales, the selling price of the handbag becomes $225. If the discount
per cent in each sale is x%, find the value of x.
Answer:
x = 25%
Step-by-step explanation:
At the first sale of 25% off, the handbag price dropped from $400 to $300. This is because (400 x 0.25 = 100) and (400 - 100 = 300) Therefore, the selling price of the handbag after one sale was $300.
At the second sale of 25% off, the handbag price dropped from $300 to $225. This is because (300 x 0.25 = 75) and (300 - 75 = 225). Therefore, the selling price of the handbag after two sales is $225.
The value of x remained the same for both sales. x = 25% or 0.25
Guys please help I'm being timed
Answer:
C
Step-by-step explanation:
Heyy, I REALLY need help on this
Answer:
ABC is a right angled triangle
BCD is also a right angled triangle
ABD is a scalene triangle
9514 1404 393
Answer:
∆ABC ~ ∆BDC ~ ∆ADB
Step-by-step explanation:
The given triangle is named using the largest acute angle vertex (A) first, followed by the right angle vertex (B), then the remaining vertex (C). Using that same order, the triangles, largest-to-smallest are ...
∆ABC ~ ∆BDC ~ ∆ADB
Find the direction of AB where A(3,0) and B(4,1).
Answer:
Required Answer:-A (3,0)B (4,1)[tex]{:}\longrightarrow[/tex][tex]\sf AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf \sqrt {(4-1)^2+(1-0)^2}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf \sqrt {(3)^2+(1)^2}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf \sqrt {9+1}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf AB=\sqrt {10}[/tex]
What is the amount of discount?
Answer:
$3.75
Step-by-step explanation:
give brainliest please
The two sides of a triangular park enclosing the right angle
are 200m and 150m. What would be the area of the park?
Step-by-step explanation:
could you please mark me as the brainliest answer
Step-by-step explanation:
The sides enclosing the right angle are the perpendicular and the base of the right angled triangle.
Then the area of the triangle will be
2
1
×150×200=15,000 m
2
.
can you solve 1 2/3 x 1 1/4
Answer:
25/12 or 2 1/12
Step-by-step explanation:
calculator
Need answer for this please.
Answer:
y= - 5x+40
Step-by-step explanation:
I graphed this out. Remember that in parallel lines, the slopes are always the same.
Kayla has a older sister and a younger sister. her older sister is one year more than twice Kayla's age. Kayla's younger sister is three years younger than she is. the sum of their ages is 26. find Kayla's age
Answer:
x= kaylas age
older sister: 2x+1
younger sister: x-3
x+2x+1+x-3=26
4x-2=26
4x=28
x=7 years old
Step-by-step explanation:
Simplify this expression using the distributive property
Answer:
When you use the distributive property, you multiply the two numbers together, just like simplifying any product. You will also see another example where the expression in parentheses is subtraction, rather than addition. You will need to be careful to change the sign of your product.
Step-by-step explanation:
[tex]\huge\boxed{\bold{\mathfrak{Hello\;there!}}}}}[/tex]
The Distributive Property states that
[tex]\dashrightarrow[/tex] [tex]\bold{a(b+c)=ab+ac}[/tex]
[tex]\dashrightarrow[/tex] We multiply a by b and c, and then add the two products.
Example:
[tex]\dashrightarrow[/tex] [tex]\bold{10(x-3)}[/tex]
[tex]\dashrightarrow[/tex] [tex]\bold{10x-30}[/tex]
[tex]\bold{I\;really\;hope\;it\;helps\;you!}[/tex]
[tex]\rm{Have\;a\;great\;day![/tex]
[tex]\boxed{AmiableTeen:)}[/tex]
10x=6x-24
help!!!! me pleasee!!
Answer:
x = -6
Step-by-step explanation:
10x = 6x - 24
Subtract 6x from both sides.
4x = -24
Divide both sides by 4.
x = -6
How many ? Help me as soon as possible
Answer:
3 meters
Step-by-step explanation:
Distance covered in 1 second
[tex] = \frac{7.5}{2.5} \\ \\ = 3 \: m[/tex]
By 10 a.m., Andrew has read 85% of his emails he received on Tuesday. If Andrew received 40 emails, how many emails has he read so far?
Answer: 35
Step-by-step explanation: 85% of 40 basically you multiply 0.85 by 40 :)
PLEASE HELP AS SOON AS POSSIBLE (THANK YOU VERY MUCH IF YOU DO)
Answer:In this equation, we can start by understanding that "x" has a value of 8, as given in the ordered pair. When multiplied by 5, this leads to "40 - 2y = 30". Next, we can subtract 40 from both sides of the equation. This leads us to a value of "-2y = -10". The next step would be to divide both sides by -2 as a way of isolating "y", which leads us to a final value of "y = 5". The final ordered pair would be (8,5).
Step-by-step explanation:
А A
B
D
If m_ABD = 64°, and mZCBD = 30°,
then m ABC = [?]°
Answer:
34 degrees
Step-by-step explanation:
If ABD = 64, and CBD is 30, we can use PWP( Part Whole Postulate)
Step 1.CBD + ABC = ABD
Step 2. Substitute
30 + ABC = 64
Step 3. Isolate ABC
34 = ABC
ABC is 34 degrees
9514 1404 393
Answer:
34°
Step-by-step explanation:
It should be fairly intuitive that the two smaller angles add to give the value of the larger one. (Even if it's not, the angle sum theorem tells you this is true.)
∠ABC + ∠CBD = ∠ABD
∠ABC + 30° = 64°
∠ABC = 34° . . . . . . . . . subtract 30° from both sides of the equation