What operations are needed to solve this word problem? Joe has 8 Dalmatians. Sarah has 3 fewer Dalmatians than Joe. How many Dalmatians do they have together?
Final answer:
To solve the word problem, subtract 3 from 8 to find the number of Dalmatians Sarah has, then add that number to Joe's 8 Dalmatians to determine the total number of Dalmatians they have together, which is 13.
Explanation:
To solve the word problem presented, we need to perform two primary operations: subtraction and addition. Joe has 8 Dalmatians, and Sarah has 3 fewer Dalmatians than Joe.
First, we determine how many Dalmatians Sarah has by subtracting 3 from 8. Once we know how many Dalmatians Sarah has, we add that number to Joe's 8 Dalmatians to find out the total number they have together.
Step 1: Calculate the number of Dalmatians Sarah has.
Sarah's Dalmatians = Joe's Dalmatians - 3
Sarah's Dalmatians = 8 - 3
Sarah's Dalmatians = 5
Step 2: Calculate the total number of Dalmatians they have together.
Total Dalmatians = Joe's Dalmatians + Sarah's Dalmatians
Total Dalmatians = 8 + 5
Total Dalmatians = 13
Therefore, Joe and Sarah have a total of 13 Dalmatians together.
What is the slope of the line shown below?
answer B or 1/6 should be right.
Answer: The correct option is
(B) [tex]\dfrac{1}{6}.[/tex]
Step-by-step explanation: We are given to find the slope of the straight line shown in the graph.
From the graph, we see that the line passes through the points (-6, 3) and (12, 6).
The SLOPE of a line passing through the points (a, b) and (c, d) is given by
[tex]m=\dfrac{d-b}{c-a}.[/tex]
Therefore, the slope of the given line is
[tex]m=\dfrac{6-3}{12-(-6)}=\dfrac{3}{12+6}=\dfrac{3}{18}=\dfrac{1}{6}.[/tex]
Thus, the slope of the given line is [tex]\dfrac{1}{6}.[/tex]
Option (B) is CORRECT.
Sierra drives for h hours at a rate of 2x miles per hour. Which expression shows the distance that she drives after h hours
Answer:
Distance traveled by Sierra in h hours at a rate of 2x miles per hour = 2xh
Explanation:
Distance traveled by a body = Velocity of the body * Time taken by the body
Here velocity of Sierra = 2x miles per hour
Time taken by Sierra = h hours.
Distance traveled by Sierra = 2x * h = 2xh
So distance traveled by Sierra in h hours at a rate of 2x miles per hour = 2xh
Natasha owes her parents $12 on monday she gives them $7. On tuesday, she gives them 5. How much money does natasha now owe her parents?
Find the median of the data set 3 35 23 37 45 5 49 27 48
median = 35
the median is the middle entry of the data arranged in ascending order
rearranging the data in ascending order
3 5 23 27 35 37 45 48 49
the middle value = 35 ← median
What is four and one over five divided bye one and two overfive
Josie watched a beetle on the sidewalk. It crawled 2/6 of a yard, then rested for a bit, and then crawled 1/4 of a yard farther. How far did the beetle crawl in all?
If m ∡2 = 138°, find m ∡1, m ∡4, and m ∡3
A line segment whose endpoints are (4,2) and (3,7) is translated to the right 5 units and up one unit. Which of the following matrix sums represents this translation?
5 units right: x + 5
1 unit up: y + 1
(x, y) → (x + 5, y + 1)
(4, 2) → (4 + 5, 2 + 1) = (9, 3)
(3, 7) → (3 + 5, 7 + 1) = (8, 8)
[tex]\begin{array}{ccc}\ \ x&y\end{array}\ \ \ \ \begin{array}{ccc}\ \ x&y\end{array}\\\left[\begin{array}{ccc}4&2\\3&7\end{array}\right]+\left[\begin{array}{ccc}5&1\\5&1\end{array}\right]=\left[\begin{array}{ccc}9&3\\8&8\end{array}\right][/tex]
Answer:
[tex]\left[\begin{array}{ccc}4&2\\3&7\end{array}\right]+\left[\begin{array}{ccc}5&1\\5&1\end{array}\right][/tex]
Steve had 4848 48 48 chocolates but decided to give 88 8 8 chocolates to each of his ff f f coworkers. How many chocolates does Steve have left?
Since the amount of coworkers would be the variable in this expression, the equation would be 48-8x
(X= number of coworkers)
Nine less than a number n n is written as
"Less than" means subtraction
The order they appear in tells me to subtract 9 from N.
n - 9
There are 144 people in line. There are twice as many adults as children in line .How many children in line and how many adults are in line?
48 children and 96 adults
let x be the number of children then number of adults = 2x and
x + 2x = 144
3x = 144 ( divide both sides by 3 )
x = [tex]\frac{144}{3}[/tex] = 48
There are 48 children and ( 2 × 48 ) = 96 adults
There are 48 children and 96 adults in line.
Explanation:To find how many children and adults are in line, we can use algebraic equations and solve for each variable. Let's assume the number of children in line is x. Since there are twice as many adults as children, the number of adults in line would be 2x. According to the given information, the total number of people in line is 144. Therefore, we can set up the equation x + 2x = 144. Simplifying the equation, we get 3x = 144. Dividing both sides by 3, we find x = 48. So, there are 48 children and 2 * 48 = 96 adults in line.
Question 9 Unsaved For all x, (2x+3)^2=? Question 9 options: 4x^2+9 4x^2+6x+9 4x^2+6 4x^2+12x+9
Use [tex](a+b)^2=a^2+2ab+b^2[/tex]
[tex](2x+3)^2=(2x)^2+2(2x)(3)+3^2=4x^2+12x+9[/tex]
John is 24 years old. Two years ago, he was twice Shane's age at that time. How old is Shane now?
Answer:
Present age of john= 24 years
Let Shane's age= x years
Two years ago
John's age = 24-2= 22 years
Shane's age = (x-2) years
Writing in terms of equation,to the above statements
⇒22= 2(x-2)
⇒22= 2 x- 4
⇒22+4 = 2 x
⇒ 2 x= 26
⇒ x= 26÷2
⇒ x =13
Present age of son = 13 years
Jasmine is a receptionist at a doctors office . She books 36 appointments each day. Four out of every 24 appointments are cancelled. How many appointments are cancelled each day?
Answer:
6 appointments are cancelled per day
Step-by-step explanation:
Question says 4 out of 24 appointments are cancelled.
It means out of 1 appointment , the cancelled appointments = [tex]\frac{4}{24}[/tex]
=[tex]\frac{1}{6}[/tex]
Now the questions says each day there are 36 appointments
And we have to find how many appointments got cancelled each day,
It means we have to find how many appointments got cancelled out of 36 appointments each day
So we multiply 36 by [tex]\frac{1}{6}[/tex]
=[tex]36 * \frac{1}{6}[/tex]
= 6
Hence , 6 appointments got cancelled each day.
Jasmine has 6 appointments cancelled per day, determined by scaling the given cancellation ratio (4 out of every 24) to match the number of daily appointments she books (36).
Explanation:To answer this question, we first need to understand the rate at which appointments are cancelled. The problem states that 4 out of every 24 appointments are cancelled. To find out how many appointments are cancelled each day, we use this ratio and apply it to the 36 appointments that Jasmine books each day.
First, we need to scale the ratio to match Jasmine's daily bookings. To do this, we multiply the numerator and denominator of the ratio by 36/24, which is 1.5. This gives us a new ratio of 6 cancellations for every 36 appointments.
So, each day, out of the 36 appointments that Jasmine books, 6 appointments are cancelled.
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A store buys a jacket for $20.00 then sells it to customers 80% more than that what is he selling price of the jacket
The selling price of the jacket, after the store increases its purchasing price by 80%, is $36.
Explanation:The subject of this question is mathematics, specifically a practical application of percentages. The store buys the jacket for $20 and then increases the sale price by 80% for its customers. First, to calculate the 80% of the cost price, you multiply 20 (the cost price) by 0.80 (the percentage increase represented as a decimal). This results in $16. The selling price is then calculated by adding this calculated value to the original cost price which gives us $20 + $16 = $36. So, the store sells the jacket for $36.
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Which function passes through the points (2, 15) and (3, 26)? A. y = 11x + 7 B. y = 11x − 7 C. y = 7x + 11 D. y = -11x − 7 E. y = 7x − 11
Answer:
B is the correct answer.
The function that passes through the points (2, 15) and (3, 26) is B) y = 11x - 7.
Explanation:To find the function that passes through the points (2, 15) and (3, 26), we can use the point-slope form of a linear equation, y - y1 = m(x - x1). Using the first point (2, 15), we can substitute the values into the equation and solve for the slope, m. Then, we can use the slope to find the y-intercept, b, by substituting the values of a point into the slope-intercept form of a linear equation, y = mx + b.The function that passes through the given points is B) y = 11x - 7.
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Is y=3x+4; y2=6x+8 a one solution, infinitely many solution, or no solution problem
Answer:
Infinitely many.
Step-by-step explanation:
y = 3x + 4
2y = 6x + 8
Basically you would fill in the variable for y into the second equation.
2 (3x + 4) = 6x + 8
Multiply 2 by the part in the parenthesis.
2 * 3x = 6x
2 * 4 = 8
Set up the equation and solve
6x + 8 = 6x + 8
Because the sides are the same, they cancel each other out. When two sides equal the same variable they have infinitely many solutions.
I'd really appreciate it if anyone helped! :)
Which statement best explains why y=4−6x is a function?
It is a linear equation.
The solutions to the equation can be written as ordered pairs.
The slope is a factor of the y-intercept.
Each x value has one and only one y value.
D, Each x value has one and only one y value.; This is because if an x-value repeats itself then it is not a function. You can test this on a graph by drawing a vertical line on it. If the vertical line intercepts the line more than once anywhere on the graph, then it is not a function.
Answer:
Each x value has one and only one y value.
Step-by-step explanation:
y = f(x) can be called a function if, and only if
f(a) = f(b) means that a = b.
That is, each x value has one and only one y value.
y = 4 - 6x
f(a) = f(b)
4 - 6a = 4 - 6b
6b = 6a
b = a
So the correct answer is:
Each x value has one and only one y value.
Mohammed, Isaac, Noah, and Felix solicited for boxes of donations for a community flea market. Mohammed collected 71?2 boxes, Isaac collected 81?3 boxes, Noah collected 43?4 boxes, and Felix collected 32?3 boxes. How many boxes did they collect in all? A. 251?3 B. 241?2 C. 241?4 D. 253?4
Answer:
Option C is the correct answer.
Explanation:
Boxes collected by Mohammed = [tex]7\frac{1}{2}[/tex]
Boxes collected by Isaac = [tex]8\frac{1}{3}[/tex]
Boxes collected by Noah = [tex]4\frac{3}{4}[/tex]
Boxes collected by Felix = [tex]3\frac{2}{3}[/tex]
Total boxes collected = [tex]7\frac{1}{2}+8\frac{1}{3}+4\frac{3}{4}+3\frac{2}{3}[/tex]
= [tex]\frac{15}{2}+\frac{25}{3}+\frac{19}{4}+\frac{11}{3}=\frac{36}{3} +\frac{49}{4} =\frac{97}{4}[/tex]
= [tex]24\frac{1}{4}[/tex]
Option C is the correct answer.
What number multiplied by itself 2 times equals 1/100
An artist wants to frame a square painting with an area of 400 square inches if x is the length of the one side of the painting what equation ca you set up to find the length of a side how many solutions does the equation have?
There is only one solution to the equation. A quadratic equation has 2 solutions a positive and a negative, but since we are looking for length, the answer can only be postive. Area= side^2
400= x^2
sqrt(400)=x
20 inches = x
The length of one side is 20 inches
check: 20*20 = 400, which is the area of the square painting.
The ratio of boys to girls at a rock concert was about 7 to 6. If there were, 1092 boys at the concert, how many girls were there?
What is the answer and work too the equation 4x+9+3x=30
Would a length of 650 feet meet the requirements for the runners' corral? If so, what would the width be? Justify your response with calculations.
The question in the photo is already answered but I need the question Above answered
The photo is just to give you guys the data for the coral.
Let
x-----------> the length of the rectangular corral
y-----------> the width of the rectangular corral
we know that
the area of the rectangular corral is equal to
[tex]A=x*y\\ A\geq 29,040\ ft^{2}[/tex]
so
[tex]x*y \geq 29,040[/tex] -------> inequality A
the perimeter of the rectangular corral is equal to
[tex]P=2x+y\\P \leq 1,364 ft[/tex]
so
[tex]2x+y \leq 1,364[/tex] -----> inequality B
using a graphing tool --------> resolve the compound system inequalities
see the attached figure
the solution is the shaded area
so
the length of 650 feet does meet the requirements of the runners corral
and the width is 64 ft-------> see the graph
the answer is
a) the length of 650 feet does meet the requirements of the runners corral
Fill in the blank. Given O below, you can conclude that OH is congruent to _____.
A. OE
B. O
C. LE
D. TG
Answer:
(A) OE
Step-by-step explanation:
From the given figure, it can be seen that TG and LI are the chords of the circle with center O such that TG=LI=10.4 which means that TG is congruent to LI.
Also, OE and OH gives the shortest distance(perpendicular) of the chord LI and TG respectively from center of circle O.
And, We know that "the congruent chords are equidistant from the center of a circle."
Therefore, we can conclude that, OH is congruent to OE.
Hence, option (A) is correct.
From the figure we can conclude that OH is congruent to OE.
Further Explanation:
Given:
The options are as follows,
A. OH is congruent to OE.
B. OH is congruent to OE.
C. OH is congruent to OE.
D. OH is congruent to OE.
Explanation:
A point is a location on the graph or at any surface.
A line is the distance between the two points that extends to infinite in both directions.
A ray is defined as the distance between the two points that extends to infinite in one direction.
Plane extends in two dimensions.
The length of TG and LI is [tex]10.4{\text{ units}}.[/tex]
LI and TG are the chords of the circle with same length.
OE and OH are the perpendicular bisector of the chords LI and TG respectively.
The given chords of the circle are equidistant from the center of the circle.
From the figure we can conclude that OH is congruent to OE.
Learn more:
If the clothing maker bought 500 m2 of this fabric, how much money did he lose? use 1tepiz=0.625dollar and 0.9144m=1yard https://brainly.com/question/2479097. Suppose that you find the volume of all the oceans to be 1.4×109km3 in a reference book. to find the mass, you can use the density of water, also found in this reference book, but first you must convert the volume to cubic meters. what is this volume in cubic meters? https://brainly.com/question/1446243.
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Line and Rays
Keywords: congruent, fill, blank, conclude, OH, OE, chord, tangent, displacement, two chords, radius, center, circle, equidistant,
Which ordered pairs are solutions to the inequality 2y−x≤−6 ?
Select each correct answer.
(−3, 0)
(6, 1)
(1, −4)
(0, −3)
(2, −2)
To determine which ordered pairs are solutions to the inequality 2y - x ≤ -6, substitute the x and y values of each ordered pair into the inequality and check if it is satisfied.
Explanation:To determine which ordered pairs are solutions to the inequality 2y - x ≤ -6, we substitute the x and y values of each ordered pair into the inequality and check if the inequality is satisfied:
For the ordered pair (-3, 0): 2(0) - (-3) ≤ -6 → 0 + 3 ≤ -6 → 3 ≤ -6 (not satisfied)For the ordered pair (6, 1): 2(1) - 6 ≤ -6 → 2 - 6 ≤ -6 → -4 ≤ -6 (satisfied)For the ordered pair (1, -4): 2(-4) - 1 ≤ -6 → -8 - 1 ≤ -6 → -9 ≤ -6 (not satisfied)For the ordered pair (0, -3): 2(-3) - 0 ≤ -6 → -6 - 0 ≤ -6 → -6 ≤ -6 (satisfied)For the ordered pair (2, -2): 2(-2) - 2 ≤ -6 → -4 - 2 ≤ -6 → -6 ≤ -6 (satisfied)Therefore, the correct answers are (6, 1), (0, -3), and (2, -2).
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Is ABC DEF? If so, identify the similarity postulate or theorem that applies.
We are given traingle ABC and Triangle DEF.
Angle <A is congruent to Angle <D
Angle <B is congruent to Angle <E
Angle <C is congruent to Angle <F.
If two pairs of corresponding angles are congruent to each other, then the triangles are similar by Angle-Angle Similarity.
By Angle-Angle similarity postulate triangle ABC and triangle DEF are similar.
Therefore, option C is correct option.
C. Similar - AA.Answer:
Similar AA
Step-by-step explanation:
What is the correct word name for the given decimal 5.89
What is 3.106 x 10 in the 6th power written in standard form