Using the multiples of 5 and 6, it is found that she will be 25 years old next year.
What are the multiples of 5 and 6?They are given as follows, considering numbers less than 40:
M(5) = {0, 5, 10, 15, 02, 25, 30, 35}.M(6) = {0, 6, 12, 18, 24, 30, 36}.This year, her age is a multiple of 6. Next year, her age will be a multiple of 5, hence, her age next year is a multiple of 5, whose predecessor is a multiple of 6, hence the only option is that she will be 25 years old next year.
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In a group of 60 students, 14 students take Algebra I, 20 students take
Algebra II, and 7 students take both subjects. How many students don't take
either of these subjects?
OA. 19
B. 28
O
C. 32
D. 33
James uses of a cup of sugar in his cookies, and Jade uses of a cup of sugar in her cookies. Noel takes the sum of the two amounts of sugar and divides it into two equal portions, planning to use only one portion of it in his cookies. How much sugar does Noel use in his cookies?
Answer:
5/8 of a cup
Step-by-step explanation:
Find the measure of angle BAC.
132°
Answer:
Step-by-step explanation:
Directions
Draw a line from B to C. A can be anywhere above 132 degrees and it would have the same value as long as its endpoints are B and C
The actual value is 1/2 the central angle which is given as 132 degrees.
Givens
<BOC = 132 degrees.
<BOC is the central angle.
Solution
<BAC = 1/2 <BOC
<BAC = 1/2 132 degrees
<BAC = 66 degrees.
Answer
<BAC = 66 degrees
Triangle ABC is similar to triangle DEF.
a. Find the scale factor from triangle ABC to triangle DEF.
b. Find x.
c. Find y.
Answer: x=7.7, y=40
3/x = 15/38.5
38.5*3=115.5
115.5/15= 7.7
x=7.7
3/8 = 15/y
15*8=120
120/3= 40
y=40
orrrr you can just easily find the scale factor which is 5, multiply 8 by 5 and get 40. And 38.5/5 which is 7.7
Which of the following is the absolute value parent function?
Answer:
A. F(x) = |x|
Step-by-step explanation:
Any number that substitutes for x inside of the absolute value parent function will be converted to a positive. Example: |-43| = 43
Is it SSS, SAS, ASA, AAS, or HL?
Triangle ABC is congruent to triangle DEF based on the SAS congruence theorem.
What is the SAS Theorem?The SAS theorem is a triangle congruence theorem that states that two triangles are congruent if they have two pairs of congruent sides that are corresponding to each other, and a pair of congruent included angles.
Triangles ABC and DEF have:
A pair of congruent included angles - ∠DEF ≅ ∠ABCTwo pairs of congruent sides - AB ≅ DE and CB ≅ FETherefore, they are congruent by SAS.
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Estimate the value of
Answer:
The given equation results in 1.98, so the answer is D) 2
✏ [tex]\sf Solve[/tex]
[tex]\sqrt{2} = 1.41\\\\1.41 * 3.14 = 4.4274\\\\\sqrt{5} = 2.23\\\\\frac{4.4274}{2.23} = 1.98[/tex]
: Find the midpoint of the segment with the following endpoints.
(5,-5) and (2,8)
Answer:
(3.5; 1.5).
Step-by-step explanation:
1) formula for midpoint:
[tex]x=\frac{X_A-X_B}{2}; \ y=\frac{Y_A-Y_B}{2};[/tex]
2) according to the formula above the required midpoint is:
x=0.5(5+2)=3.5; y=0.5(8-5)=1.5
Which of the following best describes the graph shown below ?
B. This is the graph of a function, but it is not one-to-one
Step-by-step explanation:A function is a type of graph that has a specific relationship between the x and y values.
Vocabulary
First, let's define the words that were used in the answer choices.
Function - A function is a type of relationship where the x-values do not repeat. This means that each x-value has only one specific y-value.One-To-One - A one-to-one function still has no repeating x-values; however, y-values also do not repeat. This means that each y-value has only one x-value and vice versa.Finding a Function
There are different ways to find if a relationship is a function, but with a graph, the easiest way is the vertical line test. The vertical line test is when you draw vertical lines over your graph. If you are able to draw a vertical line everywhere without that line crossing the graph more than once, then the graph is a function.
In this graph, there is no spot in which a vertical line would intersect with the graph more than once. Since it passed the vertical line test, this must mean that x-values never repeat. Thus, this is a function.
Finding a One-To-One Function
Now that we know this is a function, we need to find if this is a one-to-one function. Once again, this can be done multiple ways, but one way is the horizontal line test. This test is similar to the method above; however, horizontal lines are used. In this test, you draw horizontal lines are drawn on the graph. If you can draw a horizontal line at every value without the line intersecting more than once, then it is a one-to-one function.
On this graph, if you were to draw a horizontal line at any of the y-values between 0 and 6, then the line would intersect multiple times. This means that y-values do repeat. Thus, this is not a one-to-one function.
Select all of the expressions that are equal to 8 × 35 . A. 8 × ( 30 + 5 ) B. 5 + 3 × 35 C. ( 8 × 30 ) + ( 8 × 5 ) D. ( 8 + 30 ) × ( 8 + 5 ) E. 8 × ( 20 + 15 )
The expression 8 × 35 is equal to 8 × (30 + 5), (8 × 30) + (8 × 5), and 8 × (20 + 15) option A, C, and E are correct.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We have expression:
= 8 × 35 ⇒ 280
A. 8 × (30 + 5) ⇒ 280
B. 5 + 3 × 35 ⇒ 110
C. (8 × 30) + (8 × 5) ⇒ 280
D. (8 + 30) × (8 + 5) ⇒ 494
E. 8 × (20 + 15) ⇒ 280
Thus, the expression 8 × 35 is equal to 8 × (30 + 5), (8 × 30) + (8 × 5), and 8 × (20 + 15) option A, C, and E are correct.
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In October 2017 a pound of apples cost $1.55, while oranges cost $1.19. Two years earlier the price of apples was only $1.34 a pound and that of oranges was $1.05 a pound. What was the annual compound rate of growth in the price of apples
The annual growth rate in the price of the apple will be 7.83%.
What is the growth rate?
The growth rate is defined as the increment of any quantity over a period of time.
Given that:-
In October 2017 a pound of apples cost $1.55, while oranges cost $1.19.Two years earlier the price of apples was only $1.34 a pound and that of oranges was $1.05 a pound.The growth rate will be calculated as::-
Growth rate = Cost in 2017 / Cost in 2015
Growth rate = 1.55 / 1.34 = 1.15
The growth rate will be 15.67% for the apple in 2 years so for 1 year it will be
15.67 / 2 = 7.8%
Therefore the annual growth rate in the price of the apple will be 7.83%.
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A small plane travels at 450 miles in 3 hours. At this rate, how far can it travel in 7 hours?
Answer:
1050 miles
Step-by-step explanation:
velocity=distance/time
Distance=450 miles
Time=3 hours
Velocity=150 miles/hours
if time is 7 and velocity is 150 distance is 7x150=1050 miles
Please help me! I would appreciate it a lot!
Answer:
d
Step-by-step explanation:
HELP ME WITH THIS PLEASE!!
Answer:
Option B
Step-by-step explanation:
[tex]A=(5.1)^{2} +4(\frac{(5.1)(5.95)}{2} )=26.01+60.69=86.7cm^{2}[/tex]
Hope this helps
A recipe of chocolate chip cookies need 28 oz of oil for every 44 cups of flower. Approximately how many ounces of oil do you need for 89 cups of flower?
Type your answer to the nearest whole ounce
Answer:
57 ounces
Step-by-step explanation:
He needs 28 oz of oil for every 44 cups. Multiply both to get 56 oz of oil for 88. Since there is one more cup of flour, you will need one more ounce of oil.
A function is shown below.
f(x) = 8x - 11
What value of x makes f(x) = 21?
The correct value in this function is f(21) = 157
This question is related to substitution of values. To solve it, just: change x by the indicated value and thus calculate normally.
– The given function being f(x) = 8x - 11, replace X by 21:
f(x) = 8x - 11
f(21) = 8 . 21 - 11
– Finally, just calculate the expression now, like this, multiplying and subtracting the numbers:
f(21) = 8 . 21 - 11
f(21) = 168 - 11
f(21) = 157
Therefore, the correct value of this function will be f(21) = 157
As a member of the student council at your school, you want to determine if the seventh-grade students prefer to
have an after-school soccer program or an after-school movie club. There are 110 seventh-grade students at your
school, and you decide to take a sample of 20 students.
Describe in detail how you can randomly select 20 seventh-grade students for your sample.
Answer: I dont know
Step-by-step explanation: i need more information
Translate and solve: 220% of what number is 3300?
Note: Enter your answer as a whole number.
Hellppp Im DYING TO KNOW THE ANSWER RNN-
find which one is f f' f"
f - green (A)
f' - red (B)
f'' - blue (C)
The graph of f attains local extrema at the same points that f' = 0. There's evidence of this at x = 0 and between x = 3 and x = 3.5. (At both points, curve A attains a maximum, while curve B crosses the x-axis.)
Similarly, the graph of f' attains local extrema at the same points that f'' = 0. This is seen between x = 1.5 and x = 2. (B has a max, C crosses axis)
Also, the graph of A is continuous at x = 1.5 but exhibits a sharp turn, so at this point f is not differentiable and the graph of f' (and subsequently f'') is not continuous.
What is the slope of a line that is parallel to the line shown?
-4/3
-4
-3/4
-2/3
Answer:
m = -4/3
Step-by-step explanation:
m = y2-y1/x2-x1
therefore at (-3,2) and (0-2)
m = -2-2/0 - (-3)
m = -4/3
Find the missing length
Apply Pythagorean theorem
H²=P²+B²x²=14²+10²x²=196+100x²=296x=17.8The dot plot below shows the hourly rate of some babysitters in a city:
A number line is shown from 1 dollar to 7 dollars in increments of 1 dollar for each tick mark. The horizontal axis label is Dollar per hour. There are 4 dots above 4 dollars, 2 dots above 5 dollars, 3 dots above 6 dollars, and 1 dot above 7 dollars. The title of the line plot is Babysitting Rates.
Which statement best describes the shape of the data?
It is a cluster from $1.00 to $7.00 and has no gaps.
It is a cluster from $1.00 to $7.00 and has gaps.
It is not symmetric and has a peak at $4.00.
It is symmetric and has a peak at $7.00.
*will mark brainliest*
Answer:
A dot plot is like a histogram but it uses dots instead of bars. Like histogram, a dot plot also presents the frequency of data points. The dot plot as described by the problem is shown in the picture. A bell shape is drawn for a symmetrical data. From the choices, the answer is: It is symmetric and has no gaps. The other statements are wrong because the peak is at $5 or $6.
Answer:
A dot plot is like a histogram but it uses dots instead of bars. Like histogram, a dot plot also presents the frequency of data points. The dot plot as described by the problem is shown in the picture. A bell shape is drawn for a symmetrical data. From the choices, the answer is: It is symmetric and has no gaps. The other statements are wrong because the peak is at $5 or $6.
Step-by-step explanation:
A dot plot is like a histogram but it uses dots instead of bars. Like histogram, a dot plot also presents the frequency of data points. The dot plot as described by the problem is shown in the picture. A bell shape is drawn for a symmetrical data. From the choices, the answer is: It is symmetric and has no gaps. The other statements are wrong because the peak is at $5 or $6.
) Jeff needs to rent a car for one day, so he shops around to find a car rental company with the lowest overall price. He finds a national car rental company that charges a $15 daily fee plus $0.20 per mile. He also finds a local car rental company that charges a $14 daily fee plus $0.30 per mile. Which equation below represents a linear model for the cost of a rental from the national car rental?
*
1 point
Answer:
Step-by-step explanation:
National car rental equation is
C = 14d + 0.20m
- where C= total cost, d = the number of days and m = the total number of miles driven.
Colin invests £2900 into his bank account.
He receives 3% per year compound interest.
How much will Colin have after 4 years?
Give your answer to the nearest penny where appropriate.
Answer:
£3263.98 (nearest penny)
Step-by-step explanation:
Compound interest formula
[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]
where:
A = final amountP = principalr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = £2900r = 3% = 0.03n = 1t = 4Substituting given values into the formula and solving for A:
[tex]\implies \sf A=2900(1+\frac{0.03}{1})^{1 \times 4}[/tex]
[tex]\implies \sf A=2900(1.03)^{4}[/tex]
[tex]\implies \sf A=3263.975549[/tex]
Therefore, Colin will have £3263.98 after 4 years (to the nearest penny).
Answer:
$3264
Explanation:
[tex]\sf compound \ interest : P(1+\frac{r}{100} )^n[/tex]
"P" is principal, "r" is rate of interest, "n" is time (years)
Here given:
principal: £2900rate of interest: 3%time: 4 yearsAfter 4 years amount:
[tex]\rightarrow \sf 2900(1+\frac{3}{100})^4[/tex]
[tex]\rightarrow \sf 2900(1.03)^4[/tex]
[tex]\rightarrow \sf 3263.9755[/tex]
[tex]\rightarrow \sf 3264[/tex] (rounded to nearest whole number)
Triangle ABC is congruent to triangle DEF. Angle B is a right angle, and m∠C = 34°. What is m∠D?
56°
34°
64°
46°
Answer: 56°
Step-by-step explanation:
Find the surface area, to the nearest square centimeter, of a cylinder with diameter 6 cm and height 8 cm.
a. 48 cm²
C.
207 cm²
b.
452 cm²
d.
72 cm²
Answer:
[tex]\sf 207 \ cm^2[/tex]
Step-by-step explanation:
Surface area of cylinderdiameter = 6 cm
r = 6/2 = 3 cm
h = 8 cm
[tex]\sf \boxed{\text{\bf Surface area of cylinder = $2\pi r(h +r)$}}[/tex]
[tex]\sf = 2*3.14*3 * (3 +8)\\\\ = 2*3.14* 3 * 11\\\\= 207.24\\\\= 207 \ cm^2[/tex]
Equation of the line passing through (7,5) and (1, 2)
Answer:
[tex]y = \frac{1}{2}x + \frac{3}{2}[/tex]
Step-by-step explanation:
Assuming this is a linear equation in the form of [tex]y = mx + b[/tex], we can first solve for the slope using [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex], for these points, the slope would be [tex]\frac{1}{2}[/tex]. Now we plug in the points to get the equation:
plugging in (7,5), we get [tex]5 = \frac{1}{2}[/tex] ×[tex]7[/tex] + [tex]b[/tex]
and solving for b, we get b = [tex]\frac{3}{2}[/tex]
therefore, the equation of the line passing through (7,5) and (1,2) is [tex]y = \frac{1}{2}x + \frac{3}{2}[/tex].
hope this helps!
A linear function has a y-intercept of -9 and a slope of 4/3 . What is the equation of the line
Answer:
[tex]y=\frac{4}{3} x-9[/tex]
Step-by-step explanation:
Here this is in standard form. Hope this helps!
Answer:
y=4/3x-9
Step-by-step explanation:
equasion for linear function is y=mx+b where y is m is slope and b is y intercept. just plug in your variables
Which of the following isn't equivalent to -1.2 + 6?
A. 6 - 1.2
B. -2 (0.6 - 3)
C. (-2.4 + 12) / 2
D. -1 (1.2 + 6)
E. I don't know.
