Answer:
[tex]4\frac{1}{4} - 2\frac{7}{8} = 1\frac{3}{8}[/tex]
Step-by-step explanation:
Given
[tex]4\frac{1}{4} - 2\frac{7}{8}[/tex] --- proper representation of the question
Required
Evaluate
Convert numbers to improper fractions
[tex]4\frac{1}{4} - 2\frac{7}{8} = \frac{17}{4} - \frac{23}{8}[/tex]
Take LCM
[tex]4\frac{1}{4} - 2\frac{7}{8} = \frac{34 - 23}{8}[/tex]
[tex]4\frac{1}{4} - 2\frac{7}{8} = \frac{11}{8}[/tex]
Convert to improper fraction
[tex]4\frac{1}{4} - 2\frac{7}{8} = 1\frac{3}{8}[/tex]
Jacie is serving steak and chicken she wants to have at least 20 pounds of meat. Steak is $8 per pound and chicken is $4 per pound . Jacie wants to spend at most 120 dollarss on meat
Answer:
She can get 10 pounds of steak and 10 pounds of chicken.
Step-by-step explanation:
As Jacie wants to have at least 20 pounds of meat, you can write the following equation:
x+y=20, where
x refers to the pounds of steak
y refers to the pounds of chicken
Also, since the statement indicate that the steak is $8 per pound and chicken is $4 per pound and Jacie wants to spend at most 120 dollars on meat, you can write the following equation:
8x+4y=120
So, you have the following equations:
x+y=20 (1)
8x+4y=120 (2)
Now, you can solve for x in (1):
x=20-y (3)
Then, you can replace (3) in (2) and solve for y:
8(20-y)+4y=120
160-8y+4y=120
160-120=8y-4y
40=4y
y=40/4
y=10
Finally, you can relace the value of y in (3) to find x:
x=20-y
x=20-10
x=10
According to this, the answer is that she can get 10 pounds of steak and 10 pounds of chicken.
Quadrilateral QRST has diagonals that are perpendicular but not congruent. Which type of quadrilateral could describe quadrilateral QRST?
Answer:
Rhombus
Step-by-step explanation:
This undoubtedly has to be a rhombus. When you look at other quadrilaterals for example and want to judge and or differentiate, we see that in the case of a square, the diagonals are equal to one another and they are not congruent. Same can be applied to that of a rectangle as well, it's diagonals aren't congruent, even if they appear perpendicular.
On the other hand, the diagonals of a rhombus is both perpendicular, and at the same time congruent. And thus, that's our answer
A trapezoid has base lengths of 2.5 inches and 10 inches and an altitude of 8 inches. What is the area of the trapezoid?
Answer: 50 inches
Step-by-step explanation:
An initial investment of $1000 grows at an interest rate of 4% per year. How long will it take that investment to reach $1,500? Assume that you make no further deposits or withdrawals from the investment account. Round to the nearest tenth of a year.
Answer:
it would take 12.5 or 12 and a half years
Step-by-step explanation:
If P is the incenter of triangle JKL, find PJ.
Answer:
PJ = 41.34
Step-by-step explanation:
P is incenter, three angles bisector meet
∠MJP ≅ ∠OJP
PM = PN = PO = 22 (radius: property of incenter)
∠JPM = 90 - ∠MJP = 90 - OJP = ∠JPO
ΔJPM ≅ ΔJPO (ASA) or (SAS)
LM = JO
2x + 3 = 5x - 45
3x = 48
x = 16
JM = 35
PJ = √35²+22² = √1709 = 41.34
The value of PJ in triangle KJL is 41.32 units.
What is incenter?The point formed at the intersection of the three angle bisectors of a triangle; also the centre of the incircle.
Given that, P is incenter of the triangle KJL,
Considering the triangles ΔMJP and ΔOJP
PM = PO (property of incenter)
∠ JMP ≅ ∠ JOP
JP is common segment.
ΔJPM ≅ ΔJPO (by SAS rule)
JM = JO (CPCTC)
2x + 3 = 5x - 45
3x = 48
x = 16
JM = 35
Using the Pythagoras theorem,
PJ² = PM²+JM²
PJ = √35²+22² = √1709 = 41.34
Hence, The value of PJ in triangle KJL is 41.32 units.
For more references on incenter, click;
https://brainly.com/question/29480777
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HELPPP MEEEE HURRY FIND THE AREA
Answer:
254.34 in^2
Step-by-step explanation:
#3. Write the slope-intercept equation of
the line
Answer:
y = - 4x + 5
Step-by-step explanation:
(y-1)/ (5-1) = (x-1)/(-1)
y-1 / 4 = -x+1
y-1 = -4x+4
y = - 4x + 5
Give two solutions of the inequality: p ≤ 3
Answer:
3,2
Step-by-step explanation:
3 is equal to 3 which can be it and 2 is less than 3
I know school can be hard and believe me I know sometimes u just want to quit but being in school can make a difference so I want to get u a lot of points please do your best have a good day or night
Answer:
yes, school is hard
thanks for points
have a good day ....❤
look at triangle ABC
ABD is an isosceles triangle where AB=AD
work out sizes of angle x,y and z
Answer:
Step-by-step explanation:
x+110=180
x=70 degrees
y+40+110=180
y=30 degrees
z+70+90=180
z=20 degrees
WILL MARK BRAINLIST!!!!!!!!!
QUICK HELP PLEASE TIME IS ALMOST UP!!
Answer: first one
Step-by-step explanation:
The ratio of pitchers to catchers at a baseball camp was 11:4. If there were 64 catchers, how many pitchers were at the camp?
Answer:
There were 176 pitchers at the camp.
Step-by-step explanation:
Given that,
The ratio of pitchers to catchers at a baseball camp was 11:4.
Let pitchers be 11x and catachers be 4x.
Total catchers = 64
4x = 64
x = 16
So,
Pitchers = 11x
= 11(16)
= 176
Hence, there were 176 pitchers at the camp.
Identify proportional relationships
At the beginning of the year. Adrian's savings account balance was $28. Each week, he deposits another $15
into that account, and he doesn't spend any of his savings.
Is his savings account balance proportional to the number of weeks since the start of the year?
Choose 1 answer:
Yes
No
Dort byoblem
Stuck? Watch a video or use a hint.
9514 1404 393
Answer:
No
Step-by-step explanation:
The initial balance at the beginning of the year is not zero, so the balance is not proportional to the time since the beginning of the year.
__
A proportional relationship always starts at zero when the independent variable is zero.
The radius of a sphere is 7 cm. What is the sphere's volume? Round to the nearest tenth, and use 3.14 for π.
Answer:
1,436.8
Step-by-step explanation:
Help me with this!!!!
Well the distance from the two points is 15 so that means the midpoint in -10+7.5=-2.5. There you go! Have a nice day.
Use the percent bar model to find the missing percent.
if 100g can make 24 cakes, how much flour is needed to make 48?
Answer:
200g
Step-by-step explanation:
24x2=48
100x2=200
Is y = 1⁄2(1/4)x growing or decaying
Answer:
Growth
Step-by-step explanation:
y = 1/8 x
A football field measures 100m by 72m . A school marks a football field similar in shape to a full size football field but only 30m long . What is its width ?
Answer: 240 m
Step-by-step explanation:
Given
Football field measures [tex]100\ m\times 72\ m[/tex]
Another similar field of length
[tex]L=30\ m[/tex]
and width, say W is marked
So, their area must be the same
[tex]\Rightarrow 100\times 72=30\times W\\\\\Rightarrow W=\dfrac{7200}{30}=2540\ m[/tex]
The width of the football field is 41.7m
The football measures 100m by 72 m. The school football field is similar.
Similar rectanglesFor similar rectangles, the corresponding sides have common ratios. Therefore, let's establish the proportion as follows:
100 / w = 72 / 30cross multiply
3000 = 72w
divide both sides by 72
w = 3000 / 72
w = 41.6666666667
w = 41.7 m
learn more on proportion here: https://brainly.com/question/582443
please help!!! it’s due at 10:00am
Answer:
False, True, False
True first one
True second one
False third one
Find the mean of the following set of data: 12, 8, 7, 12, 6
Answer: 9
Step-by-step explanation:
12 + 8 + 7 + 12 + 6 = 45
There are 5 numbers
45 / 5 = 9
Answer:
mean = 9
Step-by-step explanation:
The mean is calculated as
mean = [tex]\frac{sum}{count}[/tex] , then
mean = [tex]\frac{12+8+7+12+6}{5}[/tex] = [tex]\frac{45}{5}[/tex] = 9
What inverse operation do you use to solve for m?
11=m - 4
Answer:
I would use addition
Step-by-step explanation:
Since addition is the opposite of subtraction.
Answer:
Addition
Step-by-step explanation You would use addition because you can cancle out the numbers that way
HELP ASAP PLEASE!!!
What is the degree measure of ABC given that A=25 & C=135?
Answer:
m∠ABC = 110°
Step-by-step explanation:
By the property of exterior angle of a triangle,
"Exterior angle of a triangle is equal to the sum of two opposite interior angles"
m∠BAC + m∠ABC = 135°
25° + m∠ABC = 135°
m∠ABC = 135° - 25°
= 110°
Therefore, measure of angle ABC is 110°.
please help me ill mark you brainliest and show your work please
Please help marking Brainiest
Answer:
the answer is y=30x
Step-by-step explanation:
however many inches times 30 is the consistent answer to the equation
Answer:
y=30x
Step-by-step explanation:
We can start out by writing our slope-intercept form equation: y=mx+b. In this case, our y-intercept is 0, so we can write y=mx.
Let's find the slope. We can take the points (1,30) and (2,60). We can use the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] to find our slope. Plug these values in, and we get [tex]\frac{60-30}{2-1}[/tex]. Evaluate this, and our slope is 30. So, our equation is y=30x.
Hope this helped!
A printer is printing photos . For every 8 photos , the printer takes 4 minutes . Complete the table below showing the number of photos and the time it takes to print them. (The table is in the photo)
Answer:
12 . 18
7 . 10
Step-by-step explanation:
please help i’ll give brainless
Answer:
1. 12
2. 31
3. 37
4. 87
A teacher is planning a class trip to the aquarium. The aquarium requires 2 chaperones for every 15 students. The teacher plans accordingly and orders a total of 85 tickets. How many tickets are for chaperones, and how many are for students?
Answer:
75 student tickets and 10 chaperone tickets
Step-by-step explanation:
First find out how many groups there are total by dividing 85 by 1 group total of 17 (15 students 2 chaperones).
85 / 17 = 5
Since you now know there are five groups of 15 students and 2 chaperones all you have to do is multiply 5 time 15 students and 5 times 2 chaperones.
15 x 5 = 75 for students
5 x 2 = 10 for chaperones
1 point
When solving the system of equations below, what is the appropriate
substitution?
7x + 10y = -1
x = 5y - 8
O 7x + 10(5y - 8) = -1
7x + 10y = 5y - 8
O 7(5y - 8) + 10y = -1
O -1 = 5y- 8