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One-step inequalities: word problems

Vijay needs to take a taxi, which costs a flat fee of 33 dollars, plus an additional 44 dollars per mile. If Vijay has a a dollars with him, which inequality shows the number of miles, m m , he can afford to travel in the taxi?\newlineChoose 11 answer:\newline⨀0≤m≤4a−3 \bigodot 0 \leq m \leq 4 a-3 \newlineThis inequality multiplies 44 by a a instead of m m . a a dollars times 44 dollars per mile is 4a 4 a dollars squared per mile, which doesn't make any sense.\newline0≤m≤a4−34 0 \leq m \leq \frac{a}{4}-\frac{3}{4} \newline⨀4a−3≤m \bigodot 4 a-3 \leq m \newlineThis inequality multiplies 44 by a a instead of m m . a a dollars times 44 dollars per mile is 4a 4 a dollars squared per mile, which doesn't make any sense.\newlinem m 33\newlineRemember, the cost incurred must be less than or equal to a a dollars.
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khanacademy.org/math/get-ready-for-geometry/x88a652652ce7272bd8383eb22:get-ready-for-congruence-similarity-and-triangl..\newlineclassroom\newlineskyward\newlineM M email\newlineGoogle Docs\newlineGoogle Slides\newline.. on Apple Music\newlineAll Bookm\newlineCourses\newlineSearch\newlineKhan Academy\newlineAl for Teachers\newlineFREE\newlinekaylee.morrow\newlineGet ready for Geometry\newlineCOURSE: GET READY FOR GEOM... > UNIT 11 Lesson 33: Scale drawings\newlineConstruct scale drawings\newlineProficient 1100% \boldsymbol{1} \mathbf{1 0 0 \%} \newlineScale factors and area\newlineSolving a scale drawing word probl...\newlineRelate scale drawings to area Attempted ∙50% \bullet 50 \% \newlineMath > > Get ready for Geometry > > Get ready. for congruence, similarity, and triangle trigonometry > Scale drawings\newlineO 20242024 Khan Academy\newlineTerms of use\newlinePrivacy Policy\newlineCookie Notice\newlineRelate scale drawings to area\newline\& Google Classroom af Microsoft Teams\newlinePolygon F F has an area of 3636 square units. Aimar drew a scaled version of Polygon F F and labeled it Polygon G G . Polygon G G has an area of 44 square units.\newlineWhat scale factor did Aimar use to go from Polygon F F to Polygon G G ?\newline1100% \boldsymbol{1} \mathbf{1 0 0 \%} 11\newlineRelated content\newlineScale factors and area\newline1100% \boldsymbol{1} \mathbf{1 0 0 \%} 22\newlineSolving a scale drawing word problem\newline- 55.5151\newlineReport a problem
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Estelle bought 33 pineapples to cut up and serve on a fruit platter. The pineapples each cost the same amount, and they cost less than $12\$12 in all.\newlineLet xx represent how much each pineapple cost. Which inequality describes the problem?\newlineChoices:\newline(A) 3x>123x > 12\newline(B) 3x<123x < 12\newlineSolve the inequality. Then, complete the sentence to describe the solution.\newlineEach pineapple cost less than $\$___\_\_\_.
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Bytelearn\newline* Two-step equations n \mathrm{n} \newlineG77\newlinekhanacademy.org\newlineourses\newlineSearch\newlineKhan Academy\newlineDonate [‾] [\overline{ }] \newlinenelson. 6551365513\newlineMy assignments\newline77th grade\newlineCOURSE: 77TH GRADE > UNIT 66\newlineLesson 66: Two-step equation word problems\newlineTwo-step equation word problem: ...\newline□ \square Two-step equation word problem: ...\newlineInterpret two-step equation word ...\newlineFamiliar ∙75% \bullet 75 \% \newlineDue May 2424 at 1111:3030 PM\newlineTwo-step equations word proble...\newlineFamiliar ⋅ \cdot 75% 75 \% \newlineRaymond just got done jumping at Super Bounce\newlineTrampoline Center. The total cost of his session was $43.25 \$ 43.25 . He had to pay a $7 \$ 7 entrance fee and $1.25 \$ 1.25 for every minute he was on the trampoline.\newlineWrite an equation to determine the number of minutes (t) (t) that Raymond was on the trampoline.\newline□ \square \newlineFind the number of minutes he was on the trampoline.\newline□ \square minutes\newlineRelated content
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Tra\newline58t 58 t \newlineAs:\newlineCoj \mathrm{Coj} \newlineDm\newlineDm\newlineAs!\newlineHo \mathrm{Ho} \newlineStu\newlineHo \mathrm{Ho} \newline266266d44:systems/x8989d8252151726682521517266d44:systems-modeling/e/systems-of-equations-word-problems-capstone?classCo...\newlineremium\newlineDystopia is Realism...\newlineDegrowth is utopia.\newlinePremium Photo ∣Gr \mid \mathrm{Gr} .\newlineKhan Academy\newlineDonate [3‾ [\overline{3} \newlinednetreb\newlineThis year, each Capulet wrote 88 essays, each Montague wrote 1212 essays, and both families wrote 200200 essays in total.\newlineHow many Capulets and Montagues are there?\newlineChoose 11 answer:\newline(A) There is not enough information to determine the exact number of Capulets and Montagues.\newline(B) The given information describes an impossible situation.\newline(C) There are 1616 Capulets and 66 Montagues.\newline(D) There are 66 Capulets and 1616 Montagues.
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Naomi had a blast at the water park, even though she was 33 inches too short to ride the biggest slide, The Water Slinger. Naomi is 4949 inches tall.\newlineLet hh represent the minimum height for The Water Slinger. Which equation models the problem?\newlineChoices:\newline(A) h−3=49h - 3 = 49\newline(B) h+3=49h + 3 = 49\newlineSolve this equation to find the minimum height for The Water Slinger.\newline____ inches\newline
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Sophie tried to evaluate an expression. Here is her work:\newline92÷32×2+7×69^2 \div 3^2 \times 2 + 7 \times 6\newline81÷9×2+7×681 \div 9 \times 2 + 7 \times 6 {Step 11}\newline9×2+7×69 \times 2 + 7 \times 6 {Step 22}\newline18+7×618 + 7 \times 6 {Step 33}\newline25×725 \times 7 {Step 44}\newline175175 {Step 55}\newlineIs Sophie's work correct?\newline(A)No, Sophie made a mistake going from Step 11 to Step 22. Sophie should have multiplied 99 and 22 before dividing. The order of operations says to multiply before you divide.\newline(B)No, Sophie made a mistake going from Step 33 to Step 44. Sophie should have multiplied 77 and 66 before adding. The order of operations says to multiply before you add.\newline(C)Yes, Sophie's work is correct.
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Jessica Watkins is the first Black woman to serve as a crew member on the International space station. All crew members ride up an elevator on the launch pad to reach the spacecraft that will take them to the station. The formula shown below can be used to determine the height of the elevator, h h , in feet, based on the distance, d d , in miles, to a landmark on the horizon. If Jessica calculates that the elevator is 216216 feet from the ground when a landmark is 1818 miles away on the horizon, is her solution for h h correct? Use the drop-down menus to explain.\newlined=1.5h d=\sqrt{1.5 h} \newlineNASAVal inguls\newlineClick the arrows to choose an answer from each menu.\newlineThe equation Jessica would use is 18=1.5h 18=\sqrt{1.5 h} . Since the unknown is a height, it would have to be\newlineChoose... value. To find h h , she first needs to\newlineChoose... both 1818 and 1.5h \sqrt{1.5 h} .\newlineIn the next step, solving for h h , it is apparent that h h has to be Choose... . Solving for h h shows that Jessica's solution of 216216 feet Choose.. correct.
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