Vicki and Tamra are working on their math homework together. Vicki has worked p problems, and Tamra has worked 4 times as many problems as Vicki. The expression shows how many problems they have worked altogether.
Answer:
p + 4p
5p
Step-by-step explanation:
Problems Vicki solved = p
Tamra worked 4 times as many problems as Vicki = 4 x p = 4p
total problems solved by both of them =4p + p
= 5p
The Fun Committee is hosting the Annual City Festival. Jennifer is in charge of the committee and is planning a race to raise money for the Festival. The runners will earn money from donors for the number of miles they run. If the runners start at the park, run to City hall, and then run back to the park, how many total miles will each runner run? Show your work and leave your answer in simplest radical form if necessary.
Answer: [tex]6\sqrt{5}[/tex] miles
This is the same as writing 6*sqrt(5) miles
==========================================================
Work Shown:
P = park
C = city hall
Point P is at the location (10,11)
Point C is at the location (7,5)
Apply the distance formula to find the length of segment PC
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(10-7)^2 + (11-5)^2}\\\\d = \sqrt{(3)^2 + (6)^2}\\\\d = \sqrt{9 + 36}\\\\d = \sqrt{45}\\\\d = \sqrt{9*5}\\\\d = \sqrt{9}*\sqrt{5}\\\\d = 3\sqrt{5}\\\\d \approx 6.7082039\\\\[/tex]
The exact distance between the park (P) and city hall (C) is [tex]3\sqrt{5}[/tex] miles.
This doubles to [tex]2*3\sqrt{5} = 6\sqrt{5}[/tex] miles because the runners go from P to C, then back to P again. In other words, they run along segment PC twice. This is assuming there is a straight line road connecting the two locations.
Extra info:
[tex]6\sqrt{5} \approx 13.41641[/tex] so the runner travels a total distance of roughly 13.4 miles.
Write the following expression in exponential form:
16x16x16x1.6
0416
0164
16x4
O 16+ 4
Answer:
16x16x16x1.6
Step-by-step explanation:
here's your answer hope it helps you
Four friends all give each other presents
The total costs of presents is £80.52
Work out the mean cost of presents in pounds
Carla packed this box with one centimeter cubes what is the volume of the box plus is it cubic centimeters or just centimeters or is it square centimeters pls help you'll get brainlist
Cubic centimetres since they are cubes. Did you add any picture of the question? There seems to be none.
What is the slope of y = - x + 7
[tex] \green{\huge{\red{\boxed{\green{\mathfrak{QUESTION}}}}}} [/tex]
What is the slope of y = - x + 7
[tex] \red{ \bold{ \textit{STANDARD \: EQUATION}}}[/tex]
[tex]y = mx + c[/tex]
[tex]WHERE \\ m = SLOPE \\ c = Y - INTERCEPT[/tex]
[tex] \huge\green{\boxed{\huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}}}[/tex]
[tex] \blue{A.T.Q}[/tex]
[tex]y = mx + c \sim y = ( - 1)x + 7[/tex]
[tex] \orange{SO}[/tex]
m= (-1)
which is equal to the slope of the equation .
[tex] \red \star{Thanks \: And \: Brainlist} \blue\star \\ \green\star If \: U \: Liked \: My \: Answer \purple \star[/tex]
# If two vectors whose direction ratios are 1,2,3 and -k,2,1 are perpendicular to each other then, a) k=7 b) k=4 c) k=3 O d) k=6 me especially since we had be 1 poir 82) I don't know why he turned friends for so long.
Answer:
(a)k=7
Step-by-step explanation:
We are given that
Two vectors whose direction ratios are 1,2,3 and -k,2,1.
Let
[tex]a_1=1,b_1=2,c_1=3[/tex]
[tex]a_2=-k,b_2=2,c_2=1[/tex]
We have to find the value of k.
We are given that two vectors are perpendicular to each other.
We know that two vectors are perpendicular to each other then
[tex]a_1a_2+b_1b_2+c_1c_2=0[/tex]
Substitute the values
[tex]1(-k)+2(2)+3(1)=0[/tex]
[tex]-k+4+3=0[/tex]
[tex]-k+7=0[/tex]
[tex]\implies k=7[/tex]
Hence, option a is correct.
f(x)=2^x by a factor of five
What is the median of the data set given below?
19, 22, 46, 24, 37, 16, 19,33
A. 24
B. 23
C, 19
D. 27
Answer:
B. 23
Step-by-step explanation:
16, 19, 19, 22, 24, 33, 37, 46
Median = n/2
= 8/2
= 4//
(22 + 24)÷2 = 46 ÷ 2
= 23
Using the formula for the area of a triangle, , write an expression for the area of ΔABC. Base your answer on the work you did in parts G through I. Show your work.
Answer:
[tex]Area = \frac{1}{2} * AC * D[/tex]
Step-by-step explanation:
From the complete question, we have:
Length D to be perpendicular to side AC
So, the area of the triangle is:
[tex]Area = \frac{1}{2} * Base * Height[/tex]
Since:
Length D is perpendicular to side AC
Then:
[tex]Base = AC[/tex]
[tex]Heigjt =D[/tex]
So:
[tex]Area = \frac{1}{2} * AC * D[/tex]
Daisy is trying to find the equation
of a linear function. Based on the
graph, she can tell the line goes
through (2, 20) and (3, 28). What is
the y-intercept?
Answer:
Your answer is (0,4)
Step-by-step explanation:
Instructions: Problem 2 ! Find the missing angle in the image below. Do not include spaces in your answers !! PLEASE HELP ME
Answer:
Below.
Step-by-step explanation:
Ok so since 71 +25 = 96. A line segment is 180 so 180-96= 84. Hope this is right little hard to see.
Which property does each equation demonstrate?
x2 + 2x = 2x + x2
Simplity the expression.
3(2y - 8) - 2y(5 - y)
Answer:
2y² - 4y - 24
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
3(2y - 8) - 2y(5 - y)
Step 2: Simplify
[Distributive Property] Distribute 3 and -2y: 6y - 24 - 10y + 2y²Combine like terms: 2y² - 4y - 24
[tex]solve : - \\ \\ ( \sqrt{100 - 64)} [/tex]
Answer:
[tex] \sqrt{100 - 64} \\ = 36 \\ = {6}^{2} [/tex]
Please answer the question on the screenshot.
Answer:
less than, less than, greater than (from top to bottom)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Deepak wrote out the steps to his solution of the equation StartFraction 5 Over 2 minus 3 x minus 5 plus 4 x equals negative StartFraction 7 Over 4 EndFraction – 3x – 5 + 4x = –. Which step has an incorrect instruction? Step 1 Step 2 Step 3 Step 4
Answer:
Step 1 is incorrect.
Step-by-step explanation:
The given expression is :
[tex]\dfrac{5}{2}-3x-5+4x=\dfrac{-7}{4}[/tex]
In step 1, Deepak rearranged the terms in order to simplify like terms together that is followed in step 2.
o, rearranging of the terms of an expression is commutative property and not distributive property. The distributive property is generally applicable to multiplication and is given as:
[tex]x(y+z)=xy+yz[/tex]
The commutative property is given as:
x+y = y +a
Therefore, adding terms by changing their order is commutative property of addition and not distributive property. Step 1 instruction is wrong.
Answer:
step1
Step-by-step explanation: yes sirr
Find the value of x and the value of y. 60 30 6
Answer:
The longest side, which is the opposite side of a right angle is the hypotenuse ( h ).The opposite is the side opposite the angle involved and it is called the Perpendicular ( p ) .The adjacent is the side next to the angle involved ( but not the hypotenuse ) and it is called the base ( b )[tex] \large{ \tt{❃ \: TAKING \: \angle \: \: A \: AS \: A \: ANGLE \: OF \: REFERENCE : }}[/tex]
Here , Perpendicular ( p ) = 6 , hypotenuse = y and now we're going to find the value of y first : We know :[tex] \large{ \tt{❁ \: sin \: 60 \degree = \frac{perpendicular}{hypotenuse} }}[/tex]
[tex] \large{ \tt{➝ \: \frac{ \sqrt{3} }{2} = \frac{6}{y} }}[/tex]
[tex] \large{ \tt{➝ \sqrt{3}y = 6 \times 2 }}[/tex]
[tex] \large{ \tt{➝ \: \sqrt{3} \: y = 12 }}[/tex]
[tex] \large{ \tt{➝ \: y= \frac{12}{ \sqrt{ 3} } }}[/tex]
[tex] \boxed{ \large{ \tt{➝ y = \: 4 \sqrt{3} }}}[/tex]
[tex] \large{ \tt{❇ \: TAKING \: \angle \: B \: AS \: THE \: ANGLE \: OF \: REFERENCE}} : [/tex]
Here - Perpendicular ( p ) = x , hypotenuse = y = 4 √ 3 and Now , we're gonna find the value of x :[tex] \large{ \tt{❊ \: sin \: 30 \degree = \frac{perpendicular}{hypotenuse} }}[/tex]
[tex] \large{ \tt{⟶ \: \frac{1}{2} = \frac{x}{4 \sqrt{3} } }}[/tex]
[tex] \large{ \tt{⟶ \: 2x = 4 \sqrt{3} }}[/tex]
[tex] \large{ \tt{⟶ \: x = \frac{4 \sqrt{3} }{2} }}[/tex]
[tex] \boxed{\large{ \tt{⟶ \: x = 2 \sqrt{3} }}}[/tex]
[tex] \boxed{ \large{ \tt{❈ \: OUR \: FINAL \: ANSWER : \boxed{ \tt \: x = 2 \sqrt{3} \: \: y = 4 \sqrt{3} }✓}}}[/tex]
And we're done! Hope I helped! Let me know if you have any questions regarding my answer and also notify me , if you need any other help ! :)▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
What
Is the volume of this object
Answer:
100
Step-by-step explanation:
5x4=20
20x5=100
What kind of statement does the shorthand below represent?
Answer:
it's a transitive statement.
Similar to "If a is equal to b and b is equal to c, then a is equal to c."
a = b and b = c, then a = c
Step-by-step explanation:
أريد أن أجد طريقة لإيجاد ارتفاع المخروط عن طريق معرفة قطره ومساحته . بليز أرجو الرد .
Answer:
سأعطي فقط مثالاً مقدمًا أدناه آمل أن يساعد
Step-by-step explanation:
الارتفاع = 24 سم
نصف القطر = 14 ÷ 2 = 7 سم
ارتفاع مائل = L =؟
L2 = R2 + H2
م 2 = 72 +242
م 2 = 49 + 576
م 2 = 625
L = 25
الحجم = 1 ÷ 3 × 22 ÷ 7 × 7 × 24
الحجم = 1232 سم
مساحة السطح المنحني = 22 × 7 × 7 × 25
مساحة السطح المنحني = 550
إجمالي مساحة السطح = 22 × 7 × 7 × 25 + 7
مساحة السطح الكلية = 704 سم
يرجى وضع علامة لي على أنه أذكى
Identify the symmetry.
O Reflection symmetry
O Rotational symmetry
O Both
O None of the above
Answer:
Reflection symmetry
Step-by-step explanation:
For an image to have reflection symmetry, it must appear the same after reflected over any line. In this case, there is a vertical line of symmetry we can reflect the image and not appear to have made any changes.
For an image to rotational symmetry, it needs to appear the same after being rotated some degree in either direction less than one full turn. In this case, there exists no rotation less than one full turn where we can rotate the image so it appears the exact same as it was before.
Therefore, this image only has reflection symmetry.
what is the measure of angle D?
Answer:
57
Step-by-step explanation:
Solve the inequality
x^2+7x+10< 0
Answer: -5 < x < -2 or (-5, -2)
Step-by-step explanation:
Graph- (-5, -2)
Inequality- -5 < x < -2
Activity 2. pls just give me the formula or answer this, it really help me
Answer:
X= sin (56) . 17) hope this helps
plz do this i will mark you
Photo isn't clear.
And which number
the diagram shows a square with perimeter 20cm
work out the percentage of the area shaded inside the square that is shaded
Answer:
70%
Step-by-step explanation:
Finding each side :-
4a = 20ma = 5 mFinding area of unshaded region :-
A = 1/2 * b * h A = 1/2 * 1.5 * 5 cm² A = 2.5 * 1.5 cm²A = 3.75 cm² Total unshaded region = 2*3.75 = 7.5 cm²Overall area :-
A = a²A = (5cm)²A = 25m²Finding percentage :-
% = 25 - 7.5 / 25 * 100 % = 17.5 * 4 % = 70Answer:70%
Step-by-step explanation:
What is the answer for this question
i think the answer is c :)
Answer:
(C.) sqrt(75)
Step-by-step explanation:
the simplification looks like this
1. 5 * sqrt( 3 )
2. sqrt(5 * 5 * 3)
3. sqrt(25 * 3)
4. sqrt(75)
Find the value of x. PLEASE HELP ASAPPPPPP
Answer:
5
Step-by-step explanation:
(38 + 6x - 6) ÷ 2 = 7x -4
multiply both sides by 2
(38 + 6x - 6 = 2( 7x - 4)
38 + 6x - 6 = 14x - 8
32 + 6x = 14x - 8
40 = 8x
x = 5
Midsegments are the average of both bases.
write a linear equation that passes through the point (2,-9) and has a slope of -5
Answer:
y = -5x + 1Step-by-step explanation:
Given:
The slope m = -5 and point (2, -9)Use point slope form:
y - y₁ = m(x - x₁), where (x₁, y₁) is the given pointSo the equation is:
y - (-9) = -5(x - 2)y + 9 = -5x + 10y = -5x + 1