Answer:
Interpreting as: 2(a+b)=-8.1
Input:
2 (a + b) = -8.1
In Given the expression
2( a + b) = 8.1 ..........................(1)
now divide both sides of the first equation by 2 ,
2 (a + b) /2 = 8.1 /2
(a + b) = 4.05
expression -0.5(a + b) ................(2)
simply put the value of (a + b) in (2),
- 0. 5( 4.05) = -0.5 * 4.05
= 2.025
Value of expression is 2.025.
What is a expression in maths?
An expression is a set of terms combined using the operations +, – , x .
For example - 4 x − 3 or x 2 – x y + 17 .
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After Mia gave 1/4 of her milk to Dante, Dante had twice the amount of milk as Mia. What was the ratio of the amount of milk Mia had to the amount of milk Dante had at first?
Answer:
4:5
Step-by-step explanation:
You start with the equation:
2(3/4m)=D+1/4m
Simplify it to solve:
5/4m=D
The ratio of the amount of milk Mia had to the amount of milk Dante had at first = 4 : 5
What is ratio?"It is the comparison of two quantities of the same kind."
What is an equation?"It is a mathematical statement which consists of equal symbol between two mathematical statements."
For given question,
Let 'x' be the initial amount of milk Mia had and 'y' be the initial amount of milk Dante had.
After Mia gave 1/4 of her milk to Dante, Dante had twice the amount of milk as Mia.
We write above statement inn equation form as,
[tex]2(\frac{3}{4} x)=(y+\frac{1}{4} x)[/tex]
We simplify above equation to find the ratio of the amount of milk Mia had to the amount of milk Dante had at first.
[tex]\Rightarrow 2(\frac{3}{4} x)=(y+\frac{1}{4} x)\\\\\Rightarrow \frac{6}{4}x- \frac{1}{4} x=y\\\\\Rightarrow \frac{5}{4}x=y\\\\ \Rightarrow \frac{x}{y} =\frac{4}{5}\\\\ \Rightarrow x:y=4:5[/tex]
Therefore, the ratio of the amount of milk Mia had to the amount of milk Dante had at first = 4 : 5
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Find the value of x.
Answer:
x≈47.4
Step-by-step explanation:
Use sine, since the triangle is a right triangle and doesn't have any special properties.
sin28=x/101
101*sin28=x
solving this, you get that x≈47.4.
ON MONDAY SARAH HAD HOMEWORK IN 7/10 OF HER CLASSES, TUESDAY 3/5, WEDNESDAY 9/11, AND THURSDAY 1/2.
WHICH DAY DID SHE HAVE THE MOST HOMEWORK ?
Answer:
Wednesday
Step-by-step explanation:
This System is called ratios. Let’s take Thursday for example. She has homework for one out of two of her classes. Wednesday she had nine homework’s for eleven of her homeworks
4x + 7y <14
Into slope intercept form
Slope
Y-intercept
Answer: y < [tex]\frac{4}{7}[/tex]x + 2
Slope: [tex]\frac{4}{7}[/tex]
Y-intercept: 2
Write sin 49° in terms of cosine.
Answer:
cos 41°
Step-by-step explanation:
[tex] \sin 49 \degree = \cos(90 \degree - 49 \degree) = \cos41 \degree \\ \\ \huge {\boxed{\red{ \bold{ \therefore \: \sin 49 \degree }}= \purple{ \bold{\cos 41 \degree}}}}[/tex]
The trigonometry expression sin 49° is written in the form of cosine will be cos 41°.
What is trigonometry?Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The trigonometry expression is given below.
⇒ sin 49°
We know that sin (90 - A) = cos A. Then the expression is also written as,
⇒ sin 49°
⇒ sin (90° - 41°)
⇒ cos 41°
The trigonometry expression sin 49° is written in the form of cosine will be cos 41°.
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1.) What is the surface area of the figure below?
Answer:
Step-by-step explanation:
length (l) = 3 ft
Width (w) = 3 ft
Height (w) = 6 ft
Surface area = 2*( lw + wh + hl)
= 2* (3*3 + 3*6 + 6*3)
= 2*(9 + 18 + 18)
= 2 * 45
= 90 square ft
Find the area of a circle with radius 7 yd.
Use the value 3.14 forn, and do not round your answer.
Be sure to include the correct unit in your answer.
Answer:
153.86 yd²
Step-by-step explanation:
Area of circle = [tex]\pi r^2[/tex]
Area = 3.14 × 7 ×7
Area = 153.86 yd²
Answer:
153.86 yd²
Step-by-step explanation:
What is the value of x in the equation 2(x-4) = 4(2x + 1)?
1.
-2
2.
2
3.
Nime
2.
1
4.
2
Answer:
The value of x is -2.
Step-by-step explanation:
First, you have to eliminate the brackets by expanding :
[tex]2(x - 4) = 4(2x + 1)[/tex]
[tex]2x - 8 = 8x + 4[/tex]
Next, you have to move all the like-terms to one side :
[tex]2x - 8 - 8x = 4[/tex]
[tex] - 6x = 4 + 8[/tex]
[tex] - 6x = 12[/tex]
[tex]x = 12 \div ( - 6)[/tex]
[tex]x = - 2[/tex]
Answer:
[tex]x = - 2[/tex]
Step-by-step explanation:
[tex]2(x - 4) = 4(2x + 1) \\ 2x - 8 = 8x + 4 \\ 2x - 8x = 8 + 4 \\ - 6x = 12 \\ \frac{ - 6x}{ - 6} = \frac{12}{ - 6} \\ x = - 2[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Use the Pythagorean theorem to find the unknown side of the right
triangle
Answer:
26
Step-by-step explanation:
→ Utilise Pythagoras theorem
a² + b² = c²
→ Substitute in the values
10² + 24² = c²
→ Simplify
100 + 576 = c²
→ Simplify further
676 = c²
→ Square root both sides to isolate c
26 = c
26. In the standard (x,y) coordinate plane, P(-3,-1) will be
reflected over the y-axis. What will be the coordinates
of the image of P ?
F. (-3, 1)
G. (-1, 3)
H. (1,-3)
J. 1, 3)
K. ( 3,-1)
Answer:
(-3,1) is the answer.
Step-by-step explanation:
reflection-(-3,-1)
=(-3,1)
therefore the points on the x-axis stay on the x-axis. This is reflection about the y-axis
On a winter morning, the temperature In Pittsburgh Is -13°F and the temperature in Cleveland Is-10°F. On the same morning, the temperature in Chicago is higher than the temperature in Pittsburgh. Which statement explains what the temperature in Chicago could be?
Answer:
-12°F o -11°F.
Step-by-step explanation:
We have two statements, which are the following:
- the temperature In Pittsburgh Is -13 ° F
- the temperature in Cleveland Is-10 ° F
Then they tell us, "the temperature in Chicago is higher than the temperature in Pittsburgh"
Which means that the statement that helps us is the first, which is the one that tells us about Pittsburgh, now, a higher number since it is a higher temperature, we know that when a number is negative, the higher the number is , actually the number is less, therefore the temperature should be at least -12 ° F or -11 ° F. That is, anyone with sense between the city's temperature ranges greater than -13.
4 times 1/3 in fraction
Answer:
4/3 or 1 and 1/3
Step-by-step explanation:
4 * 1/3. You would do 4*1 over 3, which gives you 4/3.
If y(x) - 3(x+5) +-, what is f(a + 2)?
A. 3(a + 2) + + 2
4
B. 3(/(a)+5) +
(a) + 2
C. 3(a + 7) +
Side A B is parallel to Side D E in the map below.
Triangle A B C. Side A B is 15 feet and side B C is 9 feet. Triangle C D E. Side C D is 6 feet and side D E is x feet.
Which proportion solves for the distance between D and E?
StartFraction 9 Over 6 EndFraction = StartFraction x Over 15 EndFraction
StartFraction 6 Over x EndFraction = StartFraction 15 Over 9 EndFraction
StartFraction 9 Over 6 EndFraction = StartFraction 15 Over x EndFraction
StartFraction 6 Over 15 EndFraction = StartFraction 9 Over x EndFraction
Answer:
I think its C
Step-by-step explanation:
Answer:
its c
Step-by-step explanation:
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(6x)?
Answer: C. It is the graph of f(x) shrunk horizontally by a factor of 6.
Step-by-step explanation:
When we multiply a function’s input by a positive constant, we get a function whose graph is stretched or compressed horizontally in relation to the graph of the original function. If the constant is between 0 and 1, we get a horizontal stretch; if the constant is greater than 1, we get a horizontal compression of the function.
SM=3x−4, and RN=9x−20. Find the value of x
Answer:
Option (A).
Step-by-step explanation:
Given question is incomplete; find the complete question with the attachment.
In the triangle NRL,
Points P, S and M are the midpoints of the sides NR, RL and LN respectively.
Sides SM = (3x - 4), NR = (9x - 20)
By the theorem of midpoints in a triangle,
SM = [tex]\frac{1}{2}\text{NR}[/tex]
(3x - 4) = [tex]\frac{1}{2}(9x-20)[/tex]
6x - 8 = 9x - 20
9x - 6x = 20 - 8
3x = 12
x = 4
Therefore, Option (A) will be the answer.
The value of x is equal t 4
Data;
midpoint = SM = 3x - 4Length of line = 9x - 20Midpoint of a LineThe midpoint of a line is half the distance of the line.
Since the length of the line is RN and midpoint of the line is SM.
[tex]SM = \frac{1}{2} RN[/tex]
Let's substitute the values into the equation
[tex]SM = \frac{1}{2} NR\\3x - 4 = \frac{1}{2}(9x- 20)\\ 3x - 4 = \frac{1}{2} (9x - 20)\\2(3x - 4) = 9x - 20\\6x - 8 = 9x - 20\\9x-6x = 20 - 8 \\3x = 12\\\frac{3x}{3} = \frac{12}{3} \\x = 4[/tex]
The value of x is equal t 4
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4. A line passes through (2, -1) and (8,4).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in standard form using integers.
Answer:
a) Equation of the line [tex]y +1 = \frac{5}{6} (x - 2)[/tex]
b) Equation of the line y + 1 = 0.833 ( x-2)
Step-by-step explanation:
Explanation:-
Given points are ( 2,-1) and (8 ,4)
Slope of the line
[tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
[tex]m = \frac{4- (-1) }{8-2 } = \frac{5}{6}[/tex]
Point - slope form
y - y₁ = m ( x - x₁)
y - (-1) = 5 /6 ( x-2)
6 ( y +1) = 5 (x -2)
a) Equation of the line [tex]y +1 = \frac{5}{6} (x - 2)[/tex]
b) Equation of the line y + 1 = 0.833 ( x-2)
How does the graph of y= Vx+2 compare to the graph of the parent square root function?
The graph is a horizontal shift of the parent function 2 units right.
The graph is a horizontal shift of the parent function 2 units left.
The graph is a vertical shift of the parent function 2 units up.
The graph is a vertical shift of the parent function 2 units down.
Answer:
a) The graph is a horizontal shift of the parent function 2 units right.
Step-by-step explanation:
Explanation:-
Type of transformation Change to co-ordinate point
Vertical translation up 'd' units (x,y) →(x ,y+d)
Vertical translation down 'd' units (x,y) →(x ,y- d)
Horizontal translation left 'c' units (x,y) →(x-c ,y)
Horizontal translation right 'c' units (x,y) →(x+c ,y)
Reflection over X-axis (x,y) →(x ,-y)
Reflection over y-axis (x,y) →(-x ,y)
Given graph f(x) = √x
The graph is a Horizontal shift of the parent function '2' units right
Therefore the transformation of the graph [tex]y = \sqrt{x+2}[/tex]
Please help I don’t get how to do it.
Answer:
Step-by-step explanation:
a) -2g
putting the value of g
-2[tex](\frac{3}{-1} )[/tex]
opening the brackets by multiplying
=[tex](\frac{-6}{1})[/tex]=-2g
b)f+3g
=[tex]\frac{-2}{4}+\frac{9}{-3}[/tex]
taking LCM AS 12
=[tex]\frac{-2*3}{4*3} +\frac{9*4}{-3*4}[/tex]
=-6/12-36/12
=-42/12
=-7/2
c)2f-4g
=[tex]2(\frac{-2}{4})-4(\frac{3}{-1} )[/tex]
=[tex]\frac{-4}{4}-\frac{12}{-1}[/tex]
=-1+12
=11
Select the ordered pairs that satisfy the equation y=1/5x.Check all that apply.
Answer:
A.
Step-by-step explanation:
Sukhoi itwilkot yang joko
on a recent test matthew got 18 out of 40 problems correct at the same rate how many problems would matthew get correct if there were 60 problems
Answer:
27
Step-by-step explanation:
18/40 = 27/60
Answer:
27 :)
Step-by-step explanation:
70 times 10 by the power of 2
Answer:
I'm not sure which you mean, so I'll give the answer to both:
[tex]70 X 10^2 = 7000\\(70x10)^2 = 490000[/tex]
Find the slope of the line that contains the points named.
R(0, 4), S(5, 0)
-4/5
4/5
-5/4
Answer:
Step-by-step explanation:
4/5
Please Help Me. Work must be shown for this problem. Solve for x. Round answers to the nearest hundredth (2 decimal places).
Answer:
About 188.71 feet
Step-by-step explanation:
The cosine of an angle is equivalent to the adjacent side divided by the length of the hypotenuse. Therefore:
[tex]\cos 58=\dfrac{100}{x} \\\\x=\dfrac{100}{\cos 58}\approx 188.71[/tex]
Hope this helps!
Answer:
x = 188.71
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adjacent/ hypotenuse
cos 58 = 100/x
Multiply by x
x cos 58 = 100
Divide by cos 58
x = 100/cos 58
x =188.7079915
To the nearest hundredth
x = 188.71
Find the volume of each cylinder. Which cylinder has the greater volume? Use 3.14 for p.
Answer:
Cylinder B
Step-by-step explanation:
V = [tex]\pi r^{2} h[/tex]
Cylinder A : π × 3² × 5 = 141.37
Cylinder B: π × 5² × 3 =235.62
sarra spent $45 at las hadas and left a 15% tip. how much was the bill
Answer:
$51.75
Step-by-step explanation:
15% of 45 or .15*45 will equal $6.75. Then you add that onto the $45 and you'll get your anwser, $51.75.
f(x) = x 2+ 6 and g(x) = 2x - 1
g[f(x)] =
A. 4x^2-4x+7
B. 2x^2+11
C. 2x^2+5
Answer:
work is shown and pictured
list the sided of the triangle in order from shortest to longest
please answer asap!!
options in picture!
Answer:
Step-by-step explanation:
The side opposite to the biggest angle be longest side.
110 + 28 + ∠H= 180 { sum of all angles of triangle }
138 + ∠H = 180
∠H= 180 -138
∠H = 42°
Shortest side is opposite to 28° =====> FH
Next shortest side is opposite to 42° =========> GF
The longest side is opposite to 110° =======> GH
The answer is:
FH , GF , GH
Answer:
FH , GF , GH
Step-by-step explanation:
PlS HELP ASP HURRY BEST ANSWER GETS TO PICK BRAINLESST OR FOLLOW!!!
Answer:
Step-by-step explanation:
1. 6 L = 6000 mL
2. 54000 mL = 54 L
3. 11000 mL = 11 L
4. 13 L = 13000 mL
5. 23500 mL = 23.5 L
6. 0.201 L = 201 mL
Answer:
1. = 6000 ML 2.= 13000 ML 3.= 54 L 4.= 23.5 L 5.= 11 L 6.= 201 ML
Step-by-step explanation:
too find answer for ML divide it by 1000
and for L multiply it by 1000
Identify the type of sample this is:
To determine the types of music their customers like, all the people attending a concert of a country music singer were surveyed
A) voluntary response sample
B) strateified random sample
C) convenience sample
D) simple random sample
