Answer:
83
Step-by-step explanation:
40 - 15 = 25
25 - 7 = 18
40 + 25 + 18 =
83
We know that Albert has 40 toy cars.
If Brad has 15 fewer cars than Albert, Brad has 40 - 15 or 25 cars.
Now, we know that Chris has 7 fewer cars than Brad.
So Chris would have 18 cars.
Altogether, they would have 40 + 25 + 18 cars or 83 cars.
Someone pls help me . Thank you sm
━━━━━━━☆☆━━━━━━━
▹ Answer
X = 24
m = 13/7 or about 1.86
▹ Step-by-Step Explanation
X/3 + 7 = 15
X + 3 * 7/3 = 15
X + 21/3 = 15
X = 24
3.5m - 1.5 = 5
35/10m - 15/10 = 5
5 * 7/2 * 5m - 3 * 5/2 * 5 = 5
m = 13/7 or about 1.86
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
The tee for the fifth hole on a golf course is 355 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marsha’s ball and the hole to the nearest tenth of a yard.
Answer:
184
Step-by-step explanation:
Find the slope of the line.
4/3
-4/3
-3/4
3/4
Answer:
-3/4
Step-by-step explanation:
slope is rise over run so you go down 3 first is is -3, and then right 4 times which means the slope is -3/4
Question: 4 x 1 2/5 Answer with a mixed number in simplest form!
Answer:
[tex]5\frac{3}{5}[/tex]
Step-by-step explanation:
[tex]4*1\frac{2}{5} = 4 * \frac{7}{5} = \frac{28}{5} = 5\frac{3}{5}[/tex]
Answer:
[tex]\boxed{ 5\frac{3}{5}}[/tex]
Step-by-step explanation:
[tex]\displaystyle 4 \times 1\frac{2}{5}[/tex]
[tex]\sf Convert \ mixed \ fraction \ into \ improper \ fraction.[/tex]
[tex]\displaystyle 4 \times \frac{7}{5}[/tex]
[tex]\sf Multiply.[/tex]
[tex]\displaystyle \frac{28}{5}[/tex]
[tex]\sf Convert \ improper \ fraction \ into \ mixed \ fraction.[/tex]
[tex]\displaystyle 5\frac{3}{5}[/tex]
Trish entered a problem on her calculator that gave her this result on the screen: “0.1894528...”. Would this decimal be considered a repeating decimal? Why or why not?
The decimal 0.1894528 is not a repeating decimal.
What is the decimal number?The accepted method for representing both integer and non-integer numbers is the decimal numeral system. Decimal notation is the term used to describe the method of representing numbers in the decimal system. The numbers are first in fractions and then divided by the number to give a decimal number.
The given decimal number is “0.1894528. In the decimal number if the numbers are repeating then it is called the repeating decimal number if the numbers are not repeating then it is called a nonrepeating decimal number. Here the given decimal is nonrepeating decimal.
Therefore, the decimal 0.1894528 is not a repeating decimal.
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What are all of the real roots of the following polynomial? f(x) = x^4 - x^3 - 13x^2 + x + 12
a) -1 and 1
b) -3, -1, 1, and 3
c) -3 and 3
d) -3, -1, 1, and 4
Answer:
1,-1,4,-3 so D
Step-by-step explanation:
0 = x^4 - x^3 -13x^2 + x + 12
x = 1,-1,4,-3
The final answer is -3,-1,1 and 4
What is the relation between roots and the biquadratic equation?The biquadratic equation is of the form ax⁴+bx³+cx²+dx+e and hence
The sum of roots is -b/a, the sum of the product of two roots is c/a, the sum of the product of three roots is -d/a, and the product of all four roots is e/a.
Solving the given problemThere is no specific method of solving a biquadratic equation, hence we use the trial and error method and also some form of the root.
So finding f(1) = 1-1-13+1+12 = 0 hence 1 is a root.
finding f(-1) = 1-(-1)-13-1+12 = 0 hence -1 is also a root.
So let other roots be p,q
Now we can use sum of roots formula which is p+q+1-1= 1, hence p+q=1
product of roots p*q*1*-1=12, pq= -12 substituting p = -12/q
-12/q+q = 1, multiplying q on both sides
q²-12=q, q²-q-12=0, q²-4q+3q-12 = 0, q(q-4q)+3(q-4)=0
(q-4)(q+3) = 0 hence the roots are 4,-3 also
Hence 1,-1,4, and -3 are the roots of the equation.
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On the number line below, P represents a number. What is the value of the opposite of that number? A number line from negative 4 to positive 4 in increments of 1 over 4, with all whole numbers alone labeled is shown. Put point P at the fifth tick mark to the right of 0. negative 2 and 2 over 4 negative 1 and 1 over 4 1 and 1 over 4 2 and 2 over 4
Answer:
[tex]-1\frac{1}{4}[/tex]
option 2
Step-by-step explanation:
In this number line, each interval equals 1/4.
P represents 1 1/4
So, opposite of number P is ( [tex]-1\frac{1}{4}[/tex] )
A pet store specializes in exotic fish. The graph shows a proportional relationship between the number of fish and the number of fish tanks at
the store.
y
65
52
39
Fish
Fish
26
13
0
5
6
Fish Tanks
35m is the answer to the problom
Answer:
the correct answer is 13
Step-by-step explanation:
i got it correct on the test, hope this helps:)) !
pls help...1.The given right rectangular prism is composed of small cubes. Find the following is the volume of the prism and the volume of one of the small cubes.
Answer:
1. 1.3778 2. 0.0089
Step-by-step explanation:
to find the volume of the whole rectangle prism you would have to do the volume formula since it is a 3d shape. VOLUME FORMULA, LxWxH.
so 1x0.83x1.66= 1.3778
you can always convert the fraction into decimal to help you calculate the problem.
i don't know if this is correct but i give it a try, so if the whole volume of the triangle is 1.3378 than you can divide that by the the number of small cubes it has inside.
it is 5 by 10 so there are 150 cubes in total.
1.3378 divided by 150=0.0089
im confident about the 1st but not so much with the second
The volume of the rectangular prism is: 1.39 ft³
The volume of one of the small cubes is: 0.0046 ft³
What is the Volume of a Rectangular Prism?Volume of rectangular prism = length × width × height
Given the following:
Length = 1 ft
Width = 5/6 ft
Height = 1⅔ ft
Volume of the rectangular prism = 1 × 5/6 × 1⅔ = 1 × 5/6 × 5/3
Volume of the rectangular prism = 25/18 = 1 7/18 ft = 1.39 ft³
Length of the edge of 1 cube = 1/6 ft
Volume of the 1 cube = (1/6)³ = 1/216 = 0.0046 ft³
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What type of number is −7? There may be more than one correct answer. Select all that apply. If only one answer is correct, select "only" and the answer that applies. integer only whole rational natural
Answer:
-7 is a Negative Number, which is also an integer.
Step-by-step explanation:
Negative numbers are any number less than 0. The greater a negative number is, is the smaller its value.
The graph below shows the relationship between the number of months different students practiced baseball and the number of games they won:
The title of the graph is Baseball Games. On x axis, the label is Number of Months of Practice. On y axis, the label is Number of Games Won. The scale on the y axis is from 0 to 22 at increments of 2, and the scale on the x axis is from 0 to 12 at increments of 2. The points plotted on the graph are the ordered pairs 0, 1 and 1, 3 and 2, 5 and 3, 9 and 4, 10 and 5, 12 and 6, 13 and 7, 14 and 8,17 and 9, 18 and 10,20. A straight line is drawn joining the ordered pairs 0, 1.8 and 2, 5.6 and 4, 9.2 and 6, 13 and 8, 16.5 and 10, 20.5.
Part A: What is the approximate y-intercept of the line of best fit and what does it represent? (5 points)
Part B: Write the equation for the line of best fit in slope-intercept form and use it to predict the number of games that could be won after 13 months of practice. Show your work and include the points used to calculate the slope. (5 points)
Answer:
(A) The y-intercept of the line is 1.82.
(B) The number of games that could be won after 13 months of practice is 26.
Step-by-step explanation:
The data from the provided graph is:
X Y
0 1
1 3
2 5
3 9
4 10
5 12
6 13
7 14
8 17
9 18
10 20
Here,
X : Number of Months of Practice
Y : Number of Games Won
(A)
Compute the y-intercept of the line as follows:
[tex]a=\frac{\sum Y\cdot \sum X^{2}-\sum X\cdot \sum XY}{n\cdot \sum X^{2}-(\sum X)^{2}}[/tex]
[tex]=\frac{122\cdot 385-55\cdot 814}{11\cdot 385-(55)^{2}}\\\\=1.818\\\\\approx 1.82[/tex]
The y-intercept of the line is 1.82.
The y-intercept is the average value of the dependent variable, here the number of games won, when the value of the independent variable, here number of months of practice, is 0.
So, a y-intercept of 1.82 indicates that on average 1.82 can be won if the number of months of practice is 0.
(B)
Compute the slope as follows:
[tex]b=\frac{n\cdot \sum XY-\sum X\cdot \sum Y}{n\cdot \sum X^{2}-(\sum X)^{2}}[/tex]
[tex]=\frac{11\cdot 814-55\cdot 122}{11\cdot 385-(55)^{2}}\\\\=1.855\\\\\approx 1.86[/tex]
The equation for the line of best fit in slope-intercept form is:
[tex]y=1.82+1.85x[/tex]
Predict the number of games that could be won after 13 months of practice as follows:
[tex]y=1.82+1.85x[/tex]
[tex]=1.82+(1.85\timex 13)\\=25.87\\\approx 26[/tex]
Thus, the number of games that could be won after 13 months of practice is 26.
A store pays $10 for each shirt it buys. The store sells each shirt for 60%
more. What is the price of a shirt at the store?
Answer:
16$ per shirt
Step-by-step explanation:
60% of 10 is 6
10 + 6 = 16
Michael just drank a cup of coffee to help him stay awake. The coffee had 110 milligrams of caffeine in it. If his body processes 5% of the caffeine every hour, how much will be left in 8 hours? A.74 B.72 C.56 D.73
Answer:C
Step-by-step explanation:
Help plz and explain if possible
Answer:
d
Step-by-step explanation:
Let f(x) = 5x + 12. Find f−1(x).
Answer:
[tex]f(x)=5x+12\\\\ f^{-1}(x):\\ y=5x+12\ \ \ |Subtract\ 12\\ y-12=5x\ \ \ |Divide\ by\ 5\\ \frac{y-12}{5}=x\\\\ f{-1}(x)=\frac{x-12}{5}[/tex]
Step-by-step explanation:
Answer:
f^-1(x) = x/5 - 12/5
Step-by-step explanation:
f(x) = 5x + 12
y = 5x + 12
x = 5y + 12
5y = x - 12
y = x/5 - 12/5
f^-1(x) = x/5 - 12/5
PLEASE HELP ASAP WILL GIVE BRAINLY!!!!!!Some of the steps in the derivation of the quadratic formula are shown:
Step 3: –c + StartFraction b squared Over 4 a EndFraction = a(x squared + StartFraction b Over a EndFraction x + StartFraction b squared Over 4 a squared EndFraction)
Step 4a: –c + StartFraction b squared Over 4 a EndFraction = a(x + StartFraction b Over 2 a EndFraction) squared
Step 4b: negative StartFraction 4 a c Over 4 a EndFraction + StartFraction b squared Over 4 a EndFraction = a(x + StartFraction b Over 2 a EndFraction) squared
Which best explains or justifies Step 4b?
factoring a polynomial
multiplication property of equality
converting to a common denominator
addition property of equality
.
Answer:
i think it is the third one but dont know just an educational geuss
Step-by-step explanation:
The given steps from the derivation of the quadratic formula are:
Step 3: [tex]-c+\frac{b^2}{4a}=a(x^2+\frac{b}{a}x+\frac{b^2}{4a^2})[/tex]
Step 4a: [tex]-c+\frac{b^2}{4a}=a(x+\frac{b}{2a})^2[/tex]
Step 4b: [tex]\frac{-4ac}{4a}+\frac{b^2}{4a}=a(x+\frac{b}{2a})^2[/tex]
The property "converting to a common denominator" justifies step 4b. So, option C: "converting to a common denominator" is correct.
What is the quadratic formula?The quadratic formula is as follows:
x = [-b ± (√b²+4ac)]/2a
This formula is derived from the quadratic equation [tex]ax^2+bx+c=0[/tex].
What are the steps to derive the quadratic formula?The standard quadratic equation is [tex]ax^2+bx+c=0[/tex]
Step 1: [tex]ax^2+bx=-c[/tex]
Step 2: Taking 'a' as common
[tex]a(x^2+\frac{b}{a}x)=-c[/tex]
Step 3: Adding [tex]\frac{b^2}{4a}[/tex] on both sides
[tex]-c+\frac{b^2}{4a}=a(x^2+\frac{b}{a}x)+\frac{b^2}{4a}[/tex]
⇒ [tex]-c+\frac{b^2}{4a}=a(x^2+\frac{b}{a}x+\frac{b^2}{4a^2})[/tex]
Step 4a: Factoring the polynomial
[tex]-c+\frac{b^2}{4a}=a(x+\frac{b}{2a})^2[/tex]
Step 4b: Converting to a common denominator
[tex]\frac{-4ac}{4a}+\frac{b^2}{4a}=a(x+\frac{b}{2a})^2[/tex]
⇒ [tex]\frac{(-4ac+b^2)}{4a}=a(x+\frac{b}{2a})^2[/tex]
Step 5: Applying square root (on one side there is a square, so, on the other side it gets ±)
⇒ [tex]\frac{(-4ac+b^2)}{4a^2}=(x+\frac{b}{2a})^2[/tex]
⇒ ±[tex]\sqrt{\frac{(-4ac+b^2)}{4a^2}} =(x+\frac{b}{2a})[/tex]
⇒ [tex]x+\frac{b}{2a}[/tex] = ± [tex]\frac{\sqrt{b^2-4ac} }{2a}[/tex]
step 6: Subtacting [tex]\frac{b}{2a}[/tex] from both the sides
⇒ [tex]x=-\frac{b}{2a}[/tex] ± [tex]\frac{\sqrt{b^2-4ac} }{2a}[/tex]
⇒ x = [-b ± (√b²+4ac)]/2a
Thus, step 4b best explains or justifies the property "Converting to a common denominator".
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What is the y-intercept of the function f(x) = -2/9x+1/3
Answer:
The y-intercept is 1/3.
Step-by-step explanation:
The equation given is in slope-intercept form. Recall that in slope-intercept form:
[tex]f(x)=mx+b[/tex]
m is the slope while b is the y-intercept.
Therefore, -2/9 would be the slope while 1/3 would be the y-intercept.
(CAN SOMEONE PLEASE EXPLAIN JUSTIFICATION) Create diagrams to represent the possible cases for common tangents between two circles. Your diagram can be created using multimedia sources or drawn by hand. They should not be copied and pasted from a website. Explain why your diagrams satisfy the given criteria. No Common Tangents Diagram: Justification:
Answer:
To justify a solution, students will need to be able to use appropriate mathematical language to give reasons for the particular approach used to solve a problem. Any time that a student produces a 'solution' in an attempt to solve a problem, that 'solution' needs to be justified.
Step-by-step explanation:
Hi, can anyone please help me come up with 7 maths questions that have the answer 10. It would be great if these questions were on the 8th grade level. Plz help fast.
Answer:
-2+12=10
-10+20=10
1+9=10
9+1=10
8-(-2)=10
2-(-8)=10
-30+40=10
Step-by-step explanation:
How to do 28a ? Thanks
Answer:
Step-by-step explanation:
(m+1)²+(m-1)²=m²+2m+1+m²-2m+1=2m²+2=2(m²+1)
Answer:
True it does.
Step-by-step explanation:
(M+1)^2 + (M-1)^2 = 2(m^2 + 1)
M^2 + 2m + 1 + m^2 - 2m + 1 = 2(m^2 +1)
2m^2 + 1 = 2(m^2 + 1)
There's your work.
The ^ means number after is exponent.
Hope this helps, and have a good day :)!
Find the total cost, to the nearest cent, for a sweater that costs $22.95 with an additional 5.5% sales tax. Show your work.
Answer:
22.95×1.055≈$24.21
Solve the equation using the multiplication property of equality and the reciprocal of 1 4 . 1 4 ( r − 5 2 ) = 1 8
Answer: I dont know if this is right but the is 8 Ive never done this before.
Step-by-step explanation:
1 =
4 =
1 =
4 =
r− 5 ⋅ 2 = 1 = r = 11
8 = r = 11
Two joggers start from different locations and simultaneously begin heading toward each other. One of the joggers jogs 19mph, while the other jogs 17mph. If the two joggers are 324 miles apart how many hours will it take before they meet?
Answer:
errror
Step-by-step explanation:
7. Assume two people, Swanson and Suzie, are standing 35 feet apart and are watching a boat
race. At a given moment, Swanson approximates the angle formed by the lead boat, himself, and
Suzie to be 30°. Suzie approximates the angle formed by the lead boat, herself, and Swanson to be
130. How far is the boat from Swanson?
130°
30"
35 feet
Swanson
Suzie
Part I: What is the missing angle in this triangle? (1 point)
Part II: Use the law of sines to find the distance from Swanson to the boat. (2 points)
Answer:
78.4 ft
Step-by-step explanation:
Part I:
Missing angle = 180° - (130 + 30) (sum of angles in a triangle)
= 180° - 160°
Missing angle = 20°
Part II: distance (d) from Swanson to the boat
Law of Sines is given as:
[tex] \frac{a}{sin(A)} = \frac{b}{sin(B)} [/tex]
Where,
a = d
A = 130°
b = 35 ft
B = 20°
Plug in the values and solve for d
[tex] \frac{d}{sin(130)} = \frac{35}{sin(20)} [/tex]
Multiply both sides by sin(130) to make d the subject of the formula
[tex] \frac{d}{sin(130)}*sin(130) = \frac{35}{sin(20)}*sin(130) [/tex]
[tex] d = \frac{35*sin(130)}{sin(20)} [/tex]
[tex] d = 78.4 ft [/tex]
Translate the following into an algebraic expression: The number that is 40% more than five more than a number a.
Answer:
1.4a > 5+a
Step-by-step explanation:
If the number is increased by 40% of that number, then it multiplies by 1.4. So, the left side of the equation is 1.4a.
On the right side of the equation, if the number is increased by 5, then the equation is a + 5.
Since the left side of the equation is more than the right side of the equation, we add a greater than sign. So the expression is 1.4a > 5+a
Suppose a function f has an inverse. If f(2)=6 and f(3)=7, find: f−1(6)
Answer:
[tex]f^{-1}(6) = 2[/tex]
Step-by-step explanation:
Given
[tex]f(2) = 6[/tex]
[tex]f(3) = 7[/tex]
Required
[tex]f^{-1}(6)[/tex]
First, we need to determine the slope of the function using;
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
From the given parameters;
In [tex]f(2) = 6[/tex]
x = 2; y =6 --- Take this as x1 and y1
In [tex]f(3) = 7[/tex]
x = 3; y = 7 --- Take this as x2 and y2
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex] becomes
[tex]m = \frac{6 - 7}{2 - 3}[/tex]
[tex]m = \frac{- 1}{ - 1}[/tex]
[tex]m = 1[/tex]
Next, we determine the equation of the function using
[tex]y - y_1 = m(x - x_1)[/tex]
Substitute the values of x1,y1 and m
[tex]y - 6 = 1(x - 2)[/tex]
Open bracket
[tex]y - 6 = x - 2[/tex]
Add 6 to both sides
[tex]y - 6 + 6 = x -2 +6[/tex]
[tex]y = x + 4[/tex]
Next is to determine the inverse function by swapping the positions of x and y
[tex]x = y + 4[/tex]
Make y the subject of formula;
[tex]y = x - 4[/tex]
Replace y with [tex]f^{-1}(x)[/tex]
[tex]f^{-1}(x) = x - 4[/tex]
Now, we can solve for [tex]f^{-1}(6)[/tex]
Substitute 6 for x
[tex]f^{-1}(6) = 6 - 4[/tex]
[tex]f^{-1}(6) = 2[/tex]
There are 6 flowers in vases in your kitchen. You want to put 3 of them on the dining room table for dinner tonight. Order isn’t important. How many ways can you display the flowers for dinner?
The required ways of the combination to display the flowers on the dinner is 20.
There are 6 flowers in vases in your kitchen. You want to put 3 of them on the dining room table for dinner tonight. Order isn’t important. How many ways can you display the flowers for dinner to determiined.
What are permutation and combination?In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
Examples of permutation and combination, Managing people, numbers, numerals, alphabets, letters , and colors are examples of permutations. Choosing of menu, foodstuffs, dresses, matters, and the group are examples of combinations.
Since, the total number of flower in vases is 6
3 of them to be selected for the dinner table tonight.
The combination is given as.
= C( 6 , 3)
= 6!/3!(6 - 3)!
= 6!/3!3!
= 20
Thus, the required ways of combination to display the flowers on dinner is 20.
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Someone pls help me i forgot how to do this . Thank you sm !!
Answer:
1.x=-5 2.t=1/2 3.x=20
Step-by-step explanation:
all simple algebra first and second is simple subtraction
the third involves division as well
Answer:
Here are the answers:
1) -5
2) 1/2
3) 20
Hope I helped)))
Pls mark brainliest
Which statement is true? A. Point estimates are used to make inferences about population parameters. B. When we use the population mean and proportion to summarize information about the entire population, we call them point estimates. C. The population mean and proportion are always equal to their corresponding point estimates. D. The sample mean and sample proportion of a population are called population parameters. Reset
Answer:
the answer is d
Step-by-step explanation:
cause its d
1. Move the slider to choose a scale
factor greater than 1. Where is point
P"?
