Renee has dimes and quarters in her wallet that total $1.60. She has 2 more dimes than quarters.
How many of each coin does Renee have?
Given:
Renee has dimes and quarters in her wallet that total $1.60.
She has 2 more dimes than quarters.
To find:
The number of each type of coins.
Solution:
Let x be the number of dimes and y be the number of quarters.
She has 2 more dimes than quarters. So,
[tex]x=y+2[/tex] ...(i)
We know that,
1 dime = $0.10
1 quarter = $0.25
Renee has dimes and quarters in her wallet that total $1.60. So,
[tex]0.10x+0.25y=1.60[/tex] ...(ii)
From (i) and (ii), we get
[tex]0.10(y+2)+0.25y=1.60[/tex]
[tex]0.10y+0.20+0.25y=1.60[/tex]
[tex]0.35y=1.60-0.20[/tex]
[tex]0.35y=1.40[/tex]
Divide both sides by 0.35.
[tex]y=\dfrac{1.40}{0.35}[/tex]
[tex]y=4[/tex]
Substituting [tex]y=4[/tex] in (i), we get
[tex]x=4+2[/tex]
[tex]x=6[/tex]
Therefore, the number of dimes is 6 and the number of quarters is 4.
which sum or difference is modeled by the algebraic tiles?
Answer:
C
Step-by-step explanation:
Select the correct answer.
In which quadrant are the x-coordinate and the y-coordinate of a point both negative?
A.
quadrant I
B.
quadrant II
C.
quadrant III
D.
quadrant IV
Answer: c
Step-by-step explanation:
may I please have help from anyone thank you so much !
Answer:
Hello! answer:
largest volume: Rectangle C
smallest volume: Rectangle A
Step-by-step explanation:
Rectangle A: 120
Rectangle B: 160
Rectangle C: 224
Rectangle D: 189
Hope that helps!
Answer the question.
Answer:
$19.53
Step-by-step explanation:
$20 - 0.1(20) = 20 - 2 = 18
18 + 0.085(18) = 18 + 1.53 = 19.53
The chart below represents the number of marbles in a jar. What is the probability of picking blue?
P(blue) =
Answer:
yes
Step-by-step explanation:
Which of the following is the value of a when the function f(x)=3|xl is written in the standard form of an absolute value
function?
Answer:
D = 3
Step-by-step explanation:
edge 2022
Mrs. Jones is planning a field trip to the state capitol building for all of the sixth graders at her school. She needs $3.75 to cover the cost of each student's lunch. There are 327 students attending the field trip. How much money does Mrs. Jones need to cover the cost of all of the students' lunches?
Answer:
= $1226.25
Step-by-step explanation:
There are 327 students
Each student lunch is $3.75
She needs 327 of these $3.75 lunches
So 327 times $3.75
= $1226.25
Find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ...
Answer:
61,70,79
Step-by-step explanation:
common difference=9
It is an arithmetic progression.
therefore next 3 terms of the sequence is 61,70,79
Answer:
61, 70,79
Step-by-step explanation:
34 - 25 = 9
43 - 34 = 9
52 - 43 = 9
52 + 9 =61
the pattern is plus 9
Which of the following is the value of g(60)?
If I have 3 integers that are greater than -5, and less than or equal to 3. The median is -1, no Mode and range is 5, the mean is 0. Give the set of 3 numbers.
Answer:
{-2, -1 , 3}
Step-by-step explanation:
When we have a set like:
{x₁, x₂, x₃}
The mode is the value that appears the most, so if there is no mode, then each value appears just one time.
The median is the middle value, here we know that the median is -1, then we can rewrite the set as:
{x₁, -1 , x₃}
The mean is computed as:
Mean = (x₁ + x₂ + x₃)/3
in this case we know that the mean is 0, then:
0 = (x₁ + x₂ + x₃)/3
then the numerator must be zero, so:
0 = (x₁ + x₂ + x₃)
replacing the value of x₂ = -1 we get:
0 = (x₁ - 1 + x₃)
where:
-5 < x₁ < -1 < x₃ ≤ 3
Now we can select the values of x₁ and x₃ such that the sum is equal to zero, and it meets the wanted restrictions.
here we can choose x₃ to be equal to 3 (the maximum allowed value), I do this because I noticed that the other values that are larger than -1 will not work (just with quick math).
then:
0 = x₁ - 1 + 3
Now we can solve this for x₁
0 = x₁ + 2
-2 = x₁
Then the set is:
{-2, -1 , 3}
Please help i'm struggling with this!It's urgent!
Answer:
m=1/2
Step-by-step explanation:
coordinatr points are:
(6,4) = (x1,y1)
(8,5) = (x2,y2)
slope(m) = y2-y1/x2-x1
=5-4/8-6
=1/2
use the function below to find F(3).
F(x) = 4(1/3)^x
Answer:
4/27
Step-by-step explanation:
F(x) = 4(1/3)^x
Let x =3
F(3) = 4(1/3)^3
Exponents first
F(3) = 4 * 1/27
Then multiply
f(3) = 4/27
Answer:
4/27
Step-by-step explanation:
f(x) = 4(1/3)^x
f(3) = 4(1/3)^3
f(3) = 4(1/27)
f(3) = 4/27
hope that helps
A pet store has 115 fish that need to be placed into fish tanks. Each tank can hold 6 fish. How many tanks does the store need for the fish?
Answer:19
Step-by-step explanation: draw the tanks put 6 fish in each tank until you get all 115 in each tank
18 km
12 km
20 km
or
14 km
Answer:
20 km
Step-by-step explanation:
Circumference is given by
C = pi*d
20 pi = pi *d
Divide each side by pi
20 =d
I dkabouthtisoneiuisrhihurg
find the sum of this infinite geometric series.
HELP!!
I need help solving these problems
Answer:
question one:
x = 6.018150231520483
adjacent angle = 7.986355100472928
Step-by-step explanation:
i have no links, but try to search triginometry calculator and pick carbide calculator for fast trigonometry calculations
it automaticly does sin, cos, and tan for you.
624,612 rounded to the nearest hundred is
Answer:
624,600
Step-by-step explanation:
624,612
612 rounds to 600
624,600
Answer:
624,600
Step by step explanatiom:
cause math
help ASAP Please show working
Answer:
(a) -1
(b) -2
Step-by-step explanation:
(a) Replace the a's with 1 and the b's with 3 to get 1*3 = 1-3+1 = -1
(b) We already figured out that (1*3) equals -1 so we just need to find -1*2. Using same strategy as part a, replace a and b with -1 and two, respectively. -1*2 = -1-2+1= -2. Hope this helps and sorry if I made a mistake. :)
Which polynomial is a monomial?
O A. 2p-P
O B. 6 - 2x2 - 4x2 +45
O c. 5r283A
O D. 1 - 2x + 5x
Answer:
Which polynomial is a monomial?
O A. 2p-P
O B. 6 - 2x2 - 4x2 +45
O c. 5r283A
O D. 1 - 2x + 5x
. 5r283A
passes through (-2, 1) and (2, -5)
Answer:
The equation of the line is:
[tex]y = -\frac{3}{2}x - 2[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Slope:
We have two points, (-2,1) and (2,-5). The slope is given by the change in y divied by the change in x. So
Change in y: -5 - 1 = -6
Change in x: 2 - (-2) = 2 + 4 = 4
Slope: [tex]m = \frac{-6}{4} = -\frac{3}{2}[/tex]
So
[tex]y = -\frac{3}{2}x + b[/tex]
Passes through (-2, 1)
This means that when [tex]x = -2, y = 1[/tex]. We use this to find the y-intercept. So
[tex]y = -\frac{3}{2}x + b[/tex]
[tex]1 = -\frac{3}{2}(-2) + b[/tex]
[tex]1 = 3 + b[/tex]
[tex]b = -2[/tex]
So, the equation of the line is:
[tex]y = -\frac{3}{2}x - 2[/tex]
5 exponent 3 · 5 exponent 8
needs to be in exponent form
WILL GIVE BRAINIEST
Answer:
[tex]5^{3}[/tex] · [tex]5^{8}[/tex] = [tex]5^{11}[/tex]
Step-by-step explanation:
when the bases are the same, add exponents
What is the total area of the garden?
Help, Help, Help, Help, Help,
Step-by-step explanation:
answer is in photo above
Answer:
0.25
Step-by-step explanation:
f(1)=(1/4)^1
0.25
APQR and ARST are shown.
S
R
R
Р
+
H
440
T
What is m TSR?
mZTSR = [1]
Answer:
∠ RST = 68°
Step-by-step explanation:
Since RT = ST then the triangle is isosceles with 2 base angles congruent
∠ RST = [tex]\frac{180-44}{2}[/tex] = [tex]\frac{136}{2}[/tex] = 68°
120÷[17-{15-3(8-2)}]
Answer:
the ans has to be 6.........
This question is from the similarity chapter. It would be really kind of you if you would answer this question.
Answer:
a) 1650 m
b) 1677.05 m
Step-by-step explanation:
Hi there!
1) Determine what is required for the answers
For part A, we're asked for solve for the horizontal distance in which the road will rise 300 m. In other words, we're solving for the distance from point A to point C, point C being the third vertex of the triangle.
For part B, we're asked to solve for the length of the road, or the length of AB.
2) Prove similarity
In the diagram, we can see that there are two similar triangles: Triangle AXY and ABC (please refer to the image attached).
How do we know they're similar?
Angles AYX and ACB are corresponding and they both measure 90 degreesBoth triangles share angle ATherefore, the two triangles are similar because of AA~ (angle-angle similarity).
3) Solve for part A
Recall that we need to find the length of AC.
First, set up a proportion. XY corresponds to BC and AY corresponds to AC:
[tex]\frac{XY}{BC}=\frac{AY}{AC}[/tex]
Plug in known values
[tex]\frac{2}{300}=\frac{11}{AC}[/tex]
Cross-multiply
[tex]2AC=11*300\\2AC=3300\\AC=1650[/tex]
Therefore, the road will rise 300 m over a horizontal distance of 1650 m.
4) Solve for part B
To find the length of AB, we can use the Pythagorean theorem:
[tex]a^2+b^2=c^2[/tex] where c is the hypotenuse of a right triangle and a and b are the other sides
Plug in 300 and 1650 as the legs (we are solving for the longest side)
[tex]300^2+1650^2=c^2\\300^2+1650^2=c^2\\2812500=c^2\\1677.05=c[/tex]
Therefore, the length of the road is approximately 1677.05 m.
I hope this helps!
Which product results in x^2-1
A mixture of concrete is made up of sand and cement in the ratio of 5:3.How many cubic centimeters of sand is needed to make 160 cubic centimeters of concrete mix?
Answer: [tex]100\ cm^3[/tex]
Step-by-step explanation:
Given
The ratio of mixture of sand and cement is 5:3
If the total volume of mixture is [tex]160\ cm^3[/tex]
Suppose there is 5x and 3x cubic centimeter of sand and cement respectively i.e.
[tex]\Rightarrow 5x+3x=160\\\Rightarrow 8x=160\\\Rightarrow x=20\ cm^3[/tex]
Sand [tex]5x=5\times 20=100\ cm^3[/tex]
So, there is [tex]100\ cm^3[/tex] of sand in the mixture
Please solve for X and Y
Answer:
x=16
..................